diff --git "a/data/dm_maths/full_data_2/1195_11255.jsonl" "b/data/dm_maths/full_data_2/1195_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1195_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate 47 - (43 + (-24 - -23)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-36)\/(-4)*1\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-1\/12)*b*b))**(3\/5))**45 assuming b is positive.\nAnswer: b**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + k**3 + k**3)*((-2*k + k - k)*(0*k + 2*k - k) + (3*k**2 + 4*k**2 - 6*k**2)*(-3 - 6 + 3)).\nAnswer: 16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 8:24 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-30)*15\/6. Solve 0 = b - 0*l + 5*l + 23, x*l + 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 67, 15 in descending order.\nAnswer: 67, 15, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026639518 is divided by 3215.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2. Let s(g) = -3*g. Let k(w) = 3*w + 7. Let o(f) = f + 3. Let t(y) = 6*k(y) - 14*o(y). Let z(p) = 6*s(p) + 5*t(p). Calculate z(x(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 810325063*t**2 - 9 + 810325062*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 9. Let s be t(13). Let c be -1 - 1 - s\/(-4). Let q(o) = 5*o**2 + o - 2. Is q(c) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhrxhxhxxxxzrxxxxz. What is prob of picking 2 h and 1 x?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2 + 7 - 3 - 4 + 3*q. Determine x(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1711 (c) -0.0265\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-12)\/(-16))\/(2\/376) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000472662142 to six dps.\nAnswer: 0.000473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -498124.23501524 minus 0.4?\nAnswer: -498124.63501524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54567, 54264, 53757, 53046?\nAnswer: 52131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 112 - 16. Calculate the highest common factor of n and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2 - 7*b - 1. Suppose 0 = -312*v + 321*v - 9. Give t(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 28*z**2 + 80*z + 61. What is the tens digit of s(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*a*j**5 - a*j**3 + 73*a + 24*j**2 + 2*j + 108 wrt j.\nAnswer: -500*a*j**3 - 6*a*j + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - 1*sqrt(3))*-3)**2 + -4)*-6 + (sqrt(432)*-2 - sqrt(432))**2*-1 + 3.\nAnswer: -3861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248345531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1254518 is divided by 581.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/16)\/(54\/9)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w**3 - 84*w**2 - 40*w - 119. Give j(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 415 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:15 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (-49 - -118 - 104)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 10861 - 10861.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)*x**(2\/27)\/x)\/(x**(-1\/5)\/x**1) assuming x is positive.\nAnswer: x**(-1043\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14940 is divided by 3253.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 39*n**2 + 351*n + 473. Calculate i(-26).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866*j - 1872*j = 2135*j + 2894*j + 559224 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 23*g + 43. Let v be b(28). Let o = -88 - v. Let k be 0*((-18)\/4)\/o. Solve -y - 2*y + 15 = k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 63*b + 38. Let x(s) = 14*s + 1. Calculate -a(r) - x(r).\nAnswer: -77*r - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 35431*s + 24488*s - 83593*s in the form a*s + n and give a.\nAnswer: -23674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgoo when four letters picked without replacement from tziggigzggozogz?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 7*z)*(0 - 2 + 3)*(0 + 1 + 1)*(2*z - 3*z - z).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, 0.084, 1, -97, 2\/9, -2?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 285668395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12624207 and -3.\nAnswer: 12624204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 2*i**3 - i**2)*(0 + 6*i - 7*i + 5).\nAnswer: -2*i**4 + 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 3 + a**2 - 2*a - a**2 + 5*a**3 - 4*a**2 as s*a**3 + w*a**2 + q + y*a and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**4\/9 + 214*h**3\/3 + 216*h**2 + 8*h\/9 - 288 = 0?\nAnswer: -2, 1, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-5)\/(-6) + 1737\/(-918) + 1). Calculate the highest common factor of 7939 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 t, and 1 y when four letters picked without replacement from yyeeeyhptteeyhhyy?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31173765\/2 or 15586882?\nAnswer: 15586882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75 and -3.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14430 * -0.5\nAnswer: 7215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 10. Let a(k) = -k**2 - 2. Let u(d) = 2*d**2 + d + 2. Suppose 3*y - 21 = 2*l, -5*l + y - 14 = -2*l. What is b*u(z) + l*a(z)?\nAnswer: -z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 5*b - 3. Let f be s(-6). Let y(h) = -h**2 + 4*h + 1. What is the units digit of y(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1831 (b) 4 (c) 23 (d) 1\/4 (e) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**4 + f**2 - 1. Let v(k) = 188*k**4 - 2*k**2 + 5. Let n(h) = -4*u(h) - v(h). What is the third derivative of n(g) wrt g?\nAnswer: -4608*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 1. Let s(a) = -3*a + 17. Let f(d) = -4*b(d) + s(d). Let j be f(-17). Suppose 5*k - 6 = -1. Solve -k = -3*g + j*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1877*y = 1041*y + 96140 for y.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/3 - (-2)\/(-3). Suppose l = -4*y + 15, -2*l - y - 6 = -5*y. Solve q*g = -b - 8, -l*g = -b + 2*b + 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from dllllllllllhyllly?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 14*l + 56. What is b(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*d + 24*d - 6. Let g be ((-17)\/17)\/(d\/(-20)). Solve 0 = -5*q - g, -n - 2*q = q + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 14 = -2*i, -1 = -n - 0. Suppose 4*l - i*l - 12 = 0. Let m be (-16)\/l + (-2)\/(-6). Solve 0 = m*s + 4*d - 19, -s + d - 26 = -6*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 17, -0.08 in ascending order.\nAnswer: -0.08, 17, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/74666?\nAnswer: 1\/74666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeue when four letters picked without replacement from uuueuuuuuueueuuuue?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 21*q**2 - q + 13. Let s be v(-8). Suppose -4*w + s = 49. List the prime factors of w.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 + -123. Sort 0, -5, y in decreasing order.\nAnswer: y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-29)\/s)\/s**(1\/45) assuming s is positive.\nAnswer: s**(-1306\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2338 + 2754. What is the greatest common divisor of y and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 5*f + 8. Suppose 0*v + 14 = 2*v. Let j be n(v). Suppose 2 = -2*o - 3*z, 2*o - 3*z = -0 + j. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4*z, -2*y + 5*z + 3 = -6*y. Solve -4*j - 23 = y*c, -5*j + c = -0*c + 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12900*g + 30*g**3 - 12900*g.\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*i = 0, -5*g + 0*i + 3*i + 51 = 0. Suppose -4*v = -3*q - 13, g = 5*v - q - 18. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 9. Let g(i) = -i**3 + 12*i**2 + 2. Let z be g(12). Let h be (0\/z)\/(-2 + 1). Give t(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 725193756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 3*s**3 - 6*s**3)*(811 + 586 + 793 + 798)*(15 - 1 - 7)*(-1 + 1 - s**2).\nAnswer: 20916*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.66 + -0.45. Let c = o - 0.21. Let i = -0.2178 - 0.0822. What is the fourth smallest value in -0.4, -3, i, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 13*c**2 - 2*c - 6. Determine h(13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - 18)*(-3 - 8\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1301*y = -57 + 57. Let n(a) be the second derivative of a**4\/12 + a**3\/6 - 5*a**2 + 2*a. Give n(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -49?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2150553 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101475 divided by 99.\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**4\/4 + 16*n**3\/3 + 8*n**2 + 22*n + 24. What is d(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -1133a6?\nAnswer: -113390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41764.99l to millilitres.\nAnswer: 41764990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 5520664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*v = 6*v - 8, 0 = 5*p + 2*v - 4. Let k(f) = -f + 6 - 1 + 2*f + f**2. Give k(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.13005 and 239.07918607.\nAnswer: 238.94913607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 178627441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 679*m = -676*m - 12, 0 = 2*q + 4*m - 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 8*f + 2. What is x(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 l, and 1 d when three letters picked without replacement from yxxzsxxdxxsxxlxzzx?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from {d: 7, x: 1, k: 1, m: 2, y: 2, f: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21332 + -21519.98. Let l = u - -191. What is l rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 k when three letters picked without replacement from kkknjjjjn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (397*j + 914*j - 43*j)*(-15 + 15 - 7*j**2).\nAnswer: -8876*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 - 3*o**2 + 12*o + 28. Let w be k(-2). Solve 13 = -4*x - 3*r - 6, -4*r = -4*x + w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + k**2 + k**2)*(2 - 5 - 5)*(2*k**2 + k**2 - k**2).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536, 1156, 1786, 2432, 3100, 3796, 4526?\nAnswer: 5296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 1. Let r(s) be the third derivative of -s**4\/8 - s**3\/3 - 5*s**2. What is 5*g(b) + 4*r(b)?\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**6 - 987399*o**4 + 5668631*o**2?\nAnswer: 360*o**3 - 23697576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/1 - (2 - 1). Let u(j) = h - 13*j**2 - 4 - 2*j + 15*j**2. Let s be u(2). Solve -s*o - 2*o = m - 10, -17 = -5*o + m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -6*h + 6. Suppose j - 5 - 8 = 3*w, 32 = 5*j - 4*w. What is the least common multiple of h and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 27 + 15)*(j**2 - 4*j**2 - 2*j**2)*(-2*j**2 + j**2 + 0*j**2).\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -465, -1752, 1, -6 in decreasing order.\nAnswer: 1, -6, -465, -1752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 29) + (111 - 80) + 57?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -580131.\nAnswer: 8\/580131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 111?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = -12. Let r(n) be the second derivative of 1\/15*n**5 + 1\/18*n**m + 1\/45*n**6 + 0 - 2*n + 0*n**3 + 0*n**2. Factor r(o).\nAnswer: 2*o**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**29*(q**(2\/11))**3 assuming q is positive.\nAnswer: q**(-313\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22223 - -1110404?\nAnswer: 1133132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + r**3 + 140 - 314 - 9*r**2 + 177 + 18*r to x*r**2 + l*r**3 + w*r + d and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338758691 a multiple of 1769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -3 (c) -2.39 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3324 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = -3*x + 33, -2 = -2*x. Let p be 3\/(-2)*k\/6. Let t(u) = 2*u**2 - 7*u + 4. What are the prime factors of t(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 divided by 4?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 - 31*p**2 + 19*p - 41. What is the thousands digit of r(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:17 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/3))\/j)**(1\/9))**(-4\/7) assuming j is positive.\nAnswer: j**(4\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13165, 52767, 118853, 211423?\n\"Answer: 13242*v**2 - 124*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48834 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65.6, 2\/3, -44.92 in decreasing order.\nAnswer: 2\/3, -44.92, -65.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.806 + -0.006. Let l = p - 1.5. Which is the third biggest value? (a) 10\/3 (b) l (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 242712.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17 + -9 - 13) + -2 + 9. Suppose -1\/3 - 6*t**g + 0*t**3 + 9*t**4 - 8\/3*t = 0. Calculate t.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005229 rounded to four decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (253\/2)\/11*(-52)\/(-299).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 78930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 221*f + 3888. Give p(-17).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**6\/105 + 3*o**5\/70 + 5*o**4\/42 - o**3\/7 - 3*o**2. Suppose h(x) = 0. What is x?\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Factor -n**w + 0*n**2 + 4*n - n + 2 - 4*n.\nAnswer: -(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 4, b: 6}. What is prob of picking 1 b, 2 v, and 1 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**6\/90 - v**5\/15 + 4*v**4\/3 + 15*v**3 + 7*v**2. Let c(k) be the first derivative of y(k). Solve c(f) = 0 for f.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*t + 1 - 5 = 0, 22 = 2*j + 4*t. Suppose x + 304 = j*x. Calculate the greatest common divisor of x and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 2*w - 42. Let o = 13 - w. Solve -o = -2*x + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1255125707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**3 - r**2 + r - 1. Let w be t(1). Suppose -8 = -w*f + 2. Suppose f*v + 4 = 4*v. Solve 10 = -d + v*i, -6 = d + i - 2*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -167, -276?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100101111111000 (base 2) to base 13.\nAnswer: -4179b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/3*(-1515)\/(-2020)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48861188 and 61076485?\nAnswer: 244305940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 1467*p**3 + 1463*p**3 + 0*p - p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 8*m**3\/3 + 1. Let w = 6128 + -6135. Let s(u) = -7*u**2. Let q = 5 + -11. Determine q*f(g) + w*s(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 22.2\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2749, 2695, 2641?\nAnswer: 2587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188279 is divided by 815?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*b - 3*d + 7*d, 7 = -4*b - 3*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 974122 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -9, 0.3, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.1 + -9.09999851. Round u to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 8543.224\nAnswer: 854.3224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7512 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 889 + 454. Are x and 1343 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w - 1, 0 = 4*b + 4*w - 4. Calculate the common denominator of 59\/18 and 3\/45*(-1 + b - 18).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + 0 - 4*l**2 - 1)*(-l**2 + 8*l - 8*l) to the form n*l**4 + k*l**3 + m*l + r + s*l**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81794*p**3 - 596*p**2 wrt p.\nAnswer: -490764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14727753 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6593669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/28)\/((106197\/(-1274))\/(-389))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5*r*r**(-3\/14)\/r)\/(r\/(r**(1\/10)\/r)*r*r**11))**(-25) assuming r is positive.\nAnswer: r**(1595\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 1 = -3*m + 2*h, 5*h = -2*m - 6. Let v = m - 5. Suppose 20 = v*k - 0*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 72*o - 69. Let a = -725 + 726. Let h be x(a). Solve -6 = h*p + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -31. Suppose 0 = -3*b + 15, 2*m - c*b - 911384 = -b. Let i = 925702 - m. What is i rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48079196 by -19.\nAnswer: 2530484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1858 is divided by 118.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 4:23 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13643.8263 seconds in days?\nAnswer: 0.15791465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 12:36 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -0.3, 90, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 98*o**2 - 636*o - 33589. What is q(-101)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/22 and 99\/9604.\nAnswer: 105644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -275.\nAnswer: -29\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -17*r + 24. Suppose -r*u + 70 = -4*u. Differentiate u*y**3 - 29*y**3 + 6 - 14 wrt y.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*y + 14342 = 9779 - 12556. What is the least common multiple of 399 and y?\nAnswer: 6783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(833))**2*-1 - ((sqrt(833) + sqrt(833)*-1 + sqrt(833) + -2 - sqrt(833))**2 + sqrt(833)).\nAnswer: -837 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (4\/4 + 2))*1. Let p be (70\/10)\/(n\/(-8)). Let a = 57 - p. Sort 4, 2, a, -5 in increasing order.\nAnswer: -5, a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -478666 - -478671. Let a = -59 - -33. Sort a, c, -3\/2, 2\/5 in descending order.\nAnswer: c, 2\/5, -3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*n = 37, 2*y - 3*y - 124*n + 12 = -123*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 + y + 1. Let r(k) = -k**3 + 6*k**2 + 6*k + 6. Determine r(c) - 6*z(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -34*i**5\/5 - 4*i**3\/3 + 45. Find the third derivative of w(h) wrt h.\nAnswer: -816*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6678 is divided by 2524.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 3*l**2 + 27*l + 85. Let z be d(-4). Let t(n) = -n**2 - 13*n - 17. Determine t(z).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 8403*j**3\/4 + 6*j**2 = 0.\nAnswer: -8\/2801, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2. Let y(x) = -20*x**2 + 162*x. Give y(u(j)).\nAnswer: -180*j**4 - 486*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -23235*f - 162617. Give r(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 + 28 + -74 + -33.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*4298919.\nAnswer: -859783.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 4\/405, -0.06, 1 in descending order.\nAnswer: 4, 2, 1, 4\/405, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from spsspppuspspspppssp.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**2\/2 - 24*x - 3. Let l(o) = -o**2 + o + 2. Let j be l(2). Let b be j*(1 - (15\/10)\/1). Determine r(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 22615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4378*q = -4370*q + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*f**2 + 175*f.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*h + 33. Suppose z = -5*c - 25, -3*c = 5*z - 6*c - 15. Calculate the smallest common multiple of h and 2\/4*(z - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 20*a**2 - 22*a + 17. Let k be s(-21). Calculate the highest common divisor of 1653 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/9 - 4\/6. Let h be 6*1\/8*8\/3. Factor 6 + d**z - 2*d - d - 10*d**h.\nAnswer: -3*(d + 1)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3785 - 4.\nAnswer: 3781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(128)*2 + 0)**2 + 2 + 3*((sqrt(128) - (0 + sqrt(128)))*5 + -1 + sqrt(128) + -3 + sqrt(128))**2 + -2.\nAnswer: -384*sqrt(2) + 14384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*z**3 + 8*z**3 + 34*z**3 - 26*z**3.\nAnswer: 78*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:25 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + (-7 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.00009 + -24. What is s rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25057, 50116, 75175, 100234, 125293, 150352?\n\"Answer: 25059*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149758, -299150, -448544, -597940, -747338?\nAnswer: -896738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*g**2)*(32175 - 16797 - 17087) + 2*g**2 + 0 + 0.\nAnswer: -5125*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(5)*-2)*-5.\nAnswer: 10*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 11. Let u = -10.4 - -7.4. What is the biggest value in c, 1, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*c - 16, -3*c + 17 = -2*w - 7. Let q(p) = 2*p**2 - 9*p + 4. Let m be q(c). Calculate the highest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/(8\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93595.25l in millilitres?\nAnswer: 93595250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0*y - 2*y + 0*y. Let f(t) be the third derivative of -1\/6*t**4 - 3*t**2 + 0*t**3 + 0 + 0*t. Determine m(f(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 445712903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -9, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16652*f**2 - 1811*f - 911873753?\nAnswer: 33304*f - 1811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.7 + -100.3. Which is smaller: o or -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 23*a**2 + 1. Let y(d) be the third derivative of d**5\/30 + 3*d**2 + 42*d. Calculate q(y(p)).\nAnswer: 92*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 73568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, c: 2, v: 1, z: 1, x: 4}. What is prob of sequence xxav?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 137 = 4*d. Let r(l) = 4*l - 34 + d. Let i(g) = -10*g**2. Calculate i(r(j)).\nAnswer: -160*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 254*t**2 - 10*t - 25. Let h(c) = -46*c**2 + 2*c + 5. Determine 11*h(m) + 2*i(m).\nAnswer: 2*m**2 + 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 6:06 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 + 66 + 15*o)*(8*o**3 - o**3 - 2*o**3) - 1 - o**4 + 6*o**4 + 36*o**2 - 37*o**2 to n*o**4 + m*o**2 + k*o + i*o**3 + a and give n.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516, -1002, -1488, -1974, -2460, -2946?\nAnswer: -3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 30*f. Let z(u) = 48*u. Determine z(i(j)).\nAnswer: 96*j**2 - 1440*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2827 (b) -0.355 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)\/y*y)\/(y**0\/y*y))**(1\/8)*((((y*y*y**(-1)*y)\/y)\/y)\/((y**(5\/2)*y)\/y))\/(y*y*y*y**(-1)*y*y)**21 assuming y is positive.\nAnswer: y**(-1039\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k + 2300000. Suppose 2*d = 4*t - 0*d + 2, 0 = 5*t - 4*d + 4. Let c be f(t). What is c rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614*q = 615*q. Solve -o - 5 = -q*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -555, -1087, -1617, -2145?\n\"Answer: q**2 - 535*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7063.531 years to decades.\nAnswer: 706.3531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i - 3 - 6 = -1064*r + 1063*r - 7, 0 = -5*r - 2*i + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -16257.64 to the nearest 100.\nAnswer: -16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 13. Let s(y) = y - 7. Let u(r) = 6*j(r) + 11*s(r). What is u(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7973051?\nAnswer: 17, 173, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**8\/6720 + t**7\/504 - t**6\/120 + t**5\/40 - t**4\/12 + 2*t**2. Let h(z) be the second derivative of l(z). What is h(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25051968*g - 9857360.\nAnswer: -25051968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -134, -255, -374, -491, -606, -719?\n\"Answer: f**2 - 124*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 27169177.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 141. Let c be p(30). Suppose -129 = -5*l + b, 10*l + b = 9*l + c. What is the highest common divisor of l and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145 - 162. Let p(r) = 11*r**2 + 15*r + 14. Let w(n) = 32*n**2 + 44*n + 40. Let t(i) = j*p(i) + 6*w(i). Find the second derivative of t(y) wrt y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -25*k**3\/6 + 365*k**2 + 281*k. What is f(29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**3 - 6*a**2 - 4*a + 4. Let u be s(-4). Let x be (-192)\/u - 2\/(-11). Let f = 82\/11 + -80\/11. Sort 3\/5, f, x in ascending order.\nAnswer: f, 3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25355 - -0.2952.\nAnswer: 0.04165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 689, 1377, 2065?\n\"Answer: 688*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:51 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {p: 1, y: 6, x: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -18. Which is the fourth biggest value? (a) k (b) 1 (c) -0.1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2479 rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.4477 and -2.3.\nAnswer: -10.22971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175645 is divided by 15914?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (sqrt(2) - (2 + sqrt(2)))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000683 rounded to 5 dps?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l. Let j(k) = -9*k - 6*k**2 + 10*k - 4*k**2 + 12*k**2 - 3 + 2. Let q(z) = -286*z**2 - 132*z + 132. Let a(n) = -132*j(n) - q(n). Calculate y(a(x)).\nAnswer: -110*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -8*w**2 + 0*w + 0 - 1\/60*w**5 - 1\/3*w**3 + 1\/6*w**4. Suppose -m = -l - 2*m, 2*l + 8 = -4*m. What is r(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 4:28 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -14*c**2 - 45*c - 6. Let k(n) = 2*n**2 + 7*n + 1. Calculate 5*k(w) + t(w).\nAnswer: -4*w**2 - 10*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**27\/x**37 assuming x is positive.\nAnswer: x**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*s - 800 = 23*s - 97*s. Sort 37, s, 81 in ascending order.\nAnswer: s, 37, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 40 = -17*b + 16*b, -r + 216 = -5*b. Let y(a) = a**3 + 45*a**2 + 84*a - 76. Calculate the remainder when 277 is divided by y(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 69954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p + 12. Let y(j) = 11*j + 24. Let m(k) = 13*w(k) - 6*y(k). Let h be m(9). Solve -4 = -2*o + 3*d, 5*o + 15 = -8*d + h*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5\/3, -15, -3\/2, -0.07638?\nAnswer: -0.07638","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (19 + -17)\/(8\/6). Suppose -2*d = -0*d + 3*i - 10, 12 = d + 5*i. Sort d, n, -0.2 in descending order.\nAnswer: d, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhuffha. What is prob of picking 1 h and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*s**2\/5 - 719*s\/5 + 206\/5.\nAnswer: -(s + 103)*(7*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and 0.6?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*b + 148, 10*p - 185 = 5*p - b. Solve -5*f + p = 4*g, 0 = 5*f - 26 + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 938 (b) -2\/7 (c) 3664\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.13 in 12\/13, -4\/5, 0.4, 2\/9, -1\/11?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a - 2?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -13*b**3 - 13*b**2 - 15*b + 42. Is p(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2303033775.\nAnswer: 3, 5, 7, 17, 43, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2894 = -0*c - 4*c + 2*h, -4*c + 2876 = 4*h. Let b = c - 121. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -542730.033.\nAnswer: -542730.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*w + 1940 + 4707 = -2219 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106028 by 106028.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -4 + 76\/5*a**5 + 0*a**2 + 0*a + 0*a**4 + 52\/3*a**3. Find the third derivative of y(p) wrt p.\nAnswer: 1824*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + sqrt(68) - sqrt(68) - sqrt(68)) + -3 - sqrt(68)) + 5)**2 + -5)*-2.\nAnswer: -542 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1655667933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**3 + 59*v**2 - 7*v + 76. Give x(15).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 493 and 104196.\nAnswer: 51368628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 64 = 2*d + 11*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3442 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 7, f: 5, l: 1, a: 1}. Give prob of picking 1 l and 1 z.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.2 (b) -0.5 (c) -4\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*a + 24, -2*a = -3*a - 5*y - 27. Let o be ((-45)\/(-30))\/((-3)\/(-2)). Sort -5, -1, a, o in ascending order.\nAnswer: a, -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 1. Suppose 8*b - 17 = -5*v + 6*b, 5*v - 5*b = -25. Let j(f) = -f**2 - 3*f + 3. Give v*j(n) - 4*x(n).\nAnswer: -n**2 + n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 + -5.29. Let k = 5.18 - 0.18. Let t = k + a. What is the closest to -2\/5 in 2, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:02 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67107193*j**6 + j**2 - 41*j + 13127.\nAnswer: -8052863160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/210 and 113\/35938.\nAnswer: 539070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*sqrt(325)*-1 - sqrt(325)) + sqrt(325))**2.\nAnswer: 8130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -95 - (-6)\/(4 + -1). Let a = -46 - w. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 3. Let j(f) = 3*f**2 + 3*f. Suppose 8 = -0*u - 4*u. Calculate the remainder when j(u) is divided by x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4 + 810*w**3 - 66534*w**2 - 1050818*w - 3490740 = 0. Calculate w.\nAnswer: -473, -9, -5, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*g + 237*g = 133 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -195593.2 rounded to the nearest 1000?\nAnswer: -196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 6:35 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuquuuwqwuwwugux. What is prob of picking 1 g and 1 x?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -0.55. Let q = p - 0.05. Let b = -615.4 + 615. What is the closest to q in b, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07924 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, b: 12}. What is prob of picking 1 x and 2 b?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 25*y - 15. Calculate the remainder when o(18) is divided by (-26)\/(-4) - (-3)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 17 = -5*p, 0 = 4*p - 1 + 13. Let b be (-12)\/8*w\/3. Let n(g) be the second derivative of 3*g**5\/10 + g**4\/12 + g - 34. Determine n(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -823830 or -823838?\nAnswer: -823838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18037516 - 9644944. Let q = 17682460 + f. What is q rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92927 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 474 (base 10) to base 12\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 108187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43790 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 964 - 404. Does 61 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - t**2 + t + 3. Let f be o(3). Suppose 5*c = -4*b + 512, 3*c - 8*b = -9*b + 310. Suppose x + f = c. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(6*u**3 + 0*u**3 - 5*u**3) + (-76*u - 23*u**2 + 76*u)*(0*u + 0*u + u).\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 - 14*h - 151. Let y be w(-9). Let u = -542 + y. Solve -k - l + 4 + 0 = u, 5*l - 2 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/7 (b) 12 (c) -0.71 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1227 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 5*y + 2*y**2 - 2*y**2 - 5 + 7. Let q(n) = -n**2 - 2*n + 7. Let d be q(-3). Give b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357336951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (18 + -17 + (18 - 22))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rispqppiqpppfqr. Give prob of sequence pqfr.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-7176)\/207*(-219)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 380*t**7\/21 + 1217*t**4\/12 + 1202*t. Find the third derivative of x(d) wrt d.\nAnswer: 45600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23760876*p*x**2 + 14*p*x - 23*p - 26*x - 85 wrt x?\nAnswer: 47521752*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -59582*g**5 + 190278*g**4 + 1037136*g**3 - 205328*g**2 + 13344*g - 288 = 0. What is g?\nAnswer: -3, 2\/31, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20782.\nAnswer: 2, 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/18 - 94\/(-6). Let f be (6\/p)\/(1\/(-5)). Let d be (-55)\/(-2) + (-1)\/f. What is the highest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18+-5369\nAnswer: -5387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45161698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.7 + 34.2. What is y rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**6\/40 - 3*y**5\/10 + 5*y**4\/8 + 6*y**3 - y**2 - 13. Find i, given that a(i) = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -7 - -5) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6842 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*p + 5*j, 7*j - 2*j = p - 3. Let t(k) = p + k - 3. Let m(s) be the second derivative of -s**3\/6 - s. What is t(m(f))?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/22456 and 55\/16842.\nAnswer: 67368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n**3\/3 - n**2\/2 - n - 1. Suppose -2*z + 6*z = 12. Suppose 2*m + 9 + 1 = -3*y, 3*y - z*m = 0. Give v(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22 + 2\/4*-6. Suppose 2*l - 3 = p. Suppose -3*a + 154 = -l. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 + 7 - (572 - 709)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-3)\/9*-9. Sort y, -2, -5.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - -1 - 2) + -1. Suppose i*w + 1135 = 6214. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(117) - (1 + sqrt(117)))*-2 + (0 + sqrt(117))*-1))**2 - (-4 + sqrt(117)*4 - (sqrt(117) + -1 + 2)))*-2.\nAnswer: -8722 + 882*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:07 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27\/14 in 4, 3036, -1, -4, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Let l be (-237)\/(-3) + c\/(-2). Suppose -l = -5*q - f, 2*q - 4*f + 28 = 4*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 2, l: 1, p: 2, u: 1, k: 1}. Give prob of sequence ipr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3026*-162.5.\nAnswer: -536.6725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*b + 6*b, 3*b - 4507 = -4*s. List the prime factors of s.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 35*r**2 + 7\/60*r**5 + 0*r**4 + 0 + 0*r**3 + 0*r. Let d(w) = 11*w. Determine b(d(j)).\nAnswer: 847*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -422 to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219669408?\nAnswer: 2, 3, 7, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 5*m = -9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5*c**(-2\/11)*c**(-2\/13)\/((c**(-2\/9)*c)\/c*c) assuming c is positive.\nAnswer: c**(5002\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154930883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2733)\/(-252) + -1 + (-3)\/7 and 35\/5064.\nAnswer: 5064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16c3 (base 15) to base 8\nAnswer: -11454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 47 (c) 6\/11 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/232 and 11\/20.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -188, -1262, -4152, -9764, -19004?\n\"Answer: -151*a**3 - 2*a**2 - 11*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2274.587 days?\nAnswer: 196524316800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -15*h + 86. Calculate the least common multiple of n(5) and 1375.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21021321 (base 4) in base 7?\nAnswer: 214215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.08604 rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = -2*c, 0 + 4 = 4*c. Suppose -2*m = x*m - 12. Let p = -184124 - -184128. Solve -17 = -p*h + m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139803526 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49825 at most 50026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -36.1. What is the smallest value in 0.12, 3\/2, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720129537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001025658 to 6 dps.\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -112, -188, -258, -316, -356, -372, -358?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - 264\/(-40) - (-26)\/(-10). Let n be 50\/(-5) + 3 + 3 + f. Let r = 24 + -22. Sort 1, n, r.\nAnswer: n, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3183191 to the nearest integer?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137 + -96. Suppose -a*v = -44*v + 114. Calculate the remainder when 142 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38\/(-133) - (-107)\/7. Suppose -17*z = -y*z - 16. Find the second derivative of 11*i**2 + 6*i - 14*i**2 + z*i - 5*i wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r**4 - 7*r**3 - 1349*r + 2 wrt r?\nAnswer: -96*r**2 - 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 + 3*x**2 + x - 1. Let o(n) = -n**3 - n**2 - 2. Suppose 13*l + 86 - 138 = 0. Let w(u) = l*o(u) + t(u). Determine w(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6402 - 74?\nAnswer: -73.3598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 16 = -4*a, -3*a + 3*d - 13 = -d. Which is bigger: a or -3\/20?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 divided by -6.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 30 = -42. Suppose 6312 = 5*s - p*d, -4*s - 904 = -5*d - 5950. Calculate the highest common factor of s and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2187134.000065 + 2187125. Let c = v + 9. What is c rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 8375\/122?\nAnswer: 8375\/122","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 + 1.4. What is the nearest to o in -5, 0.8, -3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + y - 2634, 2*y + 3628 = 3*p - 323. Let q = p + -776. Let k = q + -290. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5813 - -5844. Calculate the remainder when r is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.99 times -5?\nAnswer: 319.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/6 + 207\/(-6). Let c = 73 + s. Suppose -3*l - c = -3*p - 4*l, 2*p = 4*l + 2. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6496, -4, -0.2, 0, 1\/10.\nAnswer: -4, -1, -0.2, 0, 1\/10, 6496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 3*k - 2*k)*(-47*k**2 + 20*k - 20*k + (4 + 0 - 3)*(k**2 + 3*k**2 - 2*k**2)) - k**3 + 0*k**3 + 8*k**3 to d*k**2 + o*k + h*k**3 + p and give h.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*v**4 - 333806*v**3 - 26482*v**2 + 174*v - 2 wrt v.\nAnswer: 720*v - 2002836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 71032 - 450060 = -14*b. Is 90 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 0*g**3 + 6 - g**3.\nAnswer: -g**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/12771 and 16\/75207.\nAnswer: 676863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - b**3)*(3 - 1 - 1)*(-13 - 12 - 26) + 1 - b**3 - 1.\nAnswer: 50*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973 is divided by 955.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003435 rounded to 6 decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 5*j**2 + j + 3. Let z be c(-4). What is the common denominator of z\/10*(-303)\/(-45) and 7\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 117*k + 3. Let m be n(3). Is m\/8 - (-2)\/(-8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 8724?\nAnswer: 165756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -247 + 258. Let h(d) = 2*d**2 - 24*d + 33. Let z be h(q). Calculate the greatest common divisor of z and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**3\/3 - 7*j**2\/2 - 4*j + 2. Let i be p(8). What is the derivative of 6 - 3*x**4 - 5 + 4*x**i wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 38*x - 32*x. Suppose x*k = 4*r + 477, -k + 4*r - 52 = -211. Calculate the remainder when k is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/10)*p)\/(p*p\/(p\/p**(-9\/4))) assuming p is positive.\nAnswer: p**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2003 + -1994. Is 163\/19 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.247 rounded to one decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 6 + 14 + 90*z + 8 - 8 in the form m + f*z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*r - 2*a**3 - a*r*w + 2*a*w + 2*r*w - 44*r + w wrt a.\nAnswer: -3*a**2*r - 6*a**2 - r*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 299, 422, 525, 602?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1, -7877\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let a(l) = -2*l - 22. Calculate k(a(f)).\nAnswer: -4*f - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(84)\/(sqrt(14)\/sqrt(2))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-48)*(-4)\/6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 48*y - 104*y**2 + 16*y**4 + 124\/3*y**3 + 16 - 28\/5*y**5. Suppose c(d) = 0. Calculate d.\nAnswer: -2, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 0) + (-9 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 1081 = -1116. Let p = -0.39 + -0.01. What is the third biggest value in -1, r, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0*y + 1\/84*y**4 - 1\/210*y**5 + 0*y**3 - 6*y**2 + 0. Determine d, given that n(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**2 - 12*z - 7*z**2 - 649 + 27*z.\nAnswer: 3*z**2 + 15*z - 649","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j + 117. Determine g(-21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 27 + 7 - 19\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69654, 279846, 630166, 1120614, 1751190, 2521894, 3432726?\n\"Answer: 70064*x**2 - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4988 - 4985. Solve -8*f = -n*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.4 (b) 0.5 (c) 2\/11 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -3\/2, 4, 9\/7, -32\/11?\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s**4\/3 - 1264*s**3\/3 - 47492*s**2\/3 + 338272*s\/3 = 0. Calculate s.\nAnswer: -31, 0, 31\/5, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 4*z**2 - 4*z - 2. Give f(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 4 (c) 0.5 (d) -6 (e) 0.1055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-4\/11)\/g))\/(((g**29\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(-260\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -38541 divided by 29?\nAnswer: -1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((1 - 3)*1). Which is the smallest value? (a) -0.2 (b) 2\/13 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, 1708 in decreasing order.\nAnswer: 1708, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*1\/(-2) - -1. Let s = -16 - i. List the prime factors of (s\/4)\/(1\/(-12)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1263656 divided by 4\nAnswer: 315914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 1ba01657?\nAnswer: -1ba01657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29536 divided by 142?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -30*b + 99. Let p(o) = -11*o + 34. What is -6*c(t) + 17*p(t)?\nAnswer: -7*t - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7095*v**3 - 2*v**2 - 3553*v**3 + 2*v**2 - 3544*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 - 90732*y\/11 - 29544928\/11.\nAnswer: -2*(y + 328)*(y + 45038)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 4, -29 in descending order.\nAnswer: 4, -1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(143\/39).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-20))\/((-112)\/280).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - 1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/8)\/d)**(1\/36)*(d**(-2\/69)*d)\/d**(-8) assuming d is positive.\nAnswer: d**(59171\/6624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (32 - 55) - (5 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Add together -1206.6 and -18209.\nAnswer: -19415.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 405 = -10*q + 3*x, 0 = -5*x + 5. What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 912 + -614. Suppose 2*a - 4*a = -w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780920 to the power of 1\/2, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.505, -4\/7, 4 in increasing order.\nAnswer: -3.505, -4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67 - 27 - 81 - 119*p wrt p?\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 10 - 18. Suppose -5*x - 145 = z*i - 0*x, -2*i + x = 151. Sort i, 4, -4 in descending order.\nAnswer: 4, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*f**2 - 34 + 17*f**2 + 9 - 10*f.\nAnswer: -(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111a7a (base 11) to base 12.\nAnswer: -7a04a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 857*a**3 - 6499*a**2 - 14118033.\nAnswer: 2571*a**2 - 12998*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from ommoymymmomymo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6*(3\/6 - -1). Which is the nearest to -0.1? (a) -4 (b) 14 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -534*h*l**3*z - h*l + 1429*h*z**3 - 12*h*z**2 + 4*l*z**3 with respect to l.\nAnswer: -1602*h*l**2*z - h + 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39, 59, 65, 45, -13, -121, -291?\n\"Answer: -2*x**3 + 5*x**2 + 19*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17089*q**2 + 5341*q**2 + 8774*q**2 + 31159*q**2.\nAnswer: 28185*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 3*q + 10. Let i be d(2). Let o be i - (25\/6 + 2\/(-12)). Which is the closest to o? (a) 2\/7 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - g. Let t(r) = -2*r - 172. Determine -3*j(p) + t(p).\nAnswer: 3*p**2 + p - 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129122 - 45213. Let s = -8909 + w. What is s rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a3c9a4 + -50?\nAnswer: -a3ca14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26299 = 11*i + 6*i. Let y = i - 1030. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, 1, -1.\nAnswer: -5, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588108967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 3}. What is prob of picking 2 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443214 + 149331 - a**2 + 0*a**2 - 195281 + 3*a.\nAnswer: -a**2 + 3*a + 397264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 + 469. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.09 (b) 1\/4 (c) 1\/3 (d) 1\/6 (e) -8 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1245 - 829. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163049284?\nAnswer: 2, 3, 11, 16386737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Let r = c - -1. Solve 3*a + 20 = -4*g, -29 + r = 3*g + 5*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 11:30 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 0*j**3 + 3*j**3 + (-5 + 5 - 5*j)*(3*j**2 - 3*j**2 - j**2) - 5*j + 2*j**3 + 5*j + (-4 + 2 + 3)*(0*j**3 - j**3 - j**3) - j**3 - j**3 + 0*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15811797 divided by 1\nAnswer: 15811797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5*t - 2.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 0 - 5*m**3 - 3 + 3.\nAnswer: -5*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 3*h**2 + 3*h - 12 + h**2 + h**2 - h**2 + (1 - 1 - 2*h)*(2*h + h - h).\nAnswer: -6*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 5*o - 80. Let l be r(12). Suppose 5*y + 28 = -4*q + y, 3*q = -l*y - 25. What is the third biggest value in 2, q, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6825413 or -6825414?\nAnswer: -6825413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 12*r + 19. What is the smallest common multiple of 10 and f(-11)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Suppose -b - 91 = -2*b - 5*r, -325 = -s*b - 2*r. Let j be (-2)\/(-6) + b\/(-9). Is j less than or equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1416, 2830, 4244, 5658?\nAnswer: 7072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a366 (base 11) in base 3?\nAnswer: -1102221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 472 + b - 2*b - 474 + 6*b. Let d(j) = 32*j**2. Calculate l(d(q)).\nAnswer: 160*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1970, -4, 8, 0.05?\nAnswer: 1970","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(-2337)*-6*1.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3049282, -6098551, -9147820, -12197089?\n\"Answer: -3049269*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, w: 2, l: 4, t: 2}. What is prob of picking 1 w and 1 y?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -494449.896 rounded to the nearest 1000?\nAnswer: -494000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwpp when four letters picked without replacement from {l: 1, w: 5, p: 3}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 5*z**2 - 7*z - 4. Suppose -26 - 4 = 5*t. Let l be j(t). Suppose l*w = -2*w + 40. What is the smallest common multiple of 22 and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + -1 - (59 - 61)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 162450719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*c - 199*c = -58*c - 1881 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1142*d - 1318*d + 949*d - 836*d - 238*d as q + k*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 15*d**2 - 52*d - 124. Calculate the remainder when x(-15) is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 193104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164116527 to the nearest integer?\nAnswer: 12811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g - 2*u, 8*u = 4*g + 3*u - 10. Solve 3*h - 5*h - 2 = g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 45, 85, 119, 147, 169, 185, 195?\n\"Answer: -3*u**2 + 49*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2693603 to the nearest integer?\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from mmllmvmmlmwmmmwwmnww.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(2 - 4) + 1. Suppose 2*p - w = -3. Differentiate 0*z**4 - 4 + 0 + 5 + p*z**4 with respect to z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4546.398km?\nAnswer: 4546398000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-176)*((-50)\/400)\/((-9)\/48).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2159, -2160, -2161, -2162, -2163?\nAnswer: -2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872)*-1)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4722 is divided by 1574.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1374009 or 0?\nAnswer: -4\/1374009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 349 - -2aaa?\nAnswer: 2e04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/1080)\/(1\/6*1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 14 = 6. Let g(a) = -a + 7. Let n be g(4). Let i(h) = 12*h**o + n - 3. Let p(b) = 2*b**2. What is p(i(z))?\nAnswer: 288*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -7 + 62. Let g = 15 - h. Does 7 divide (-111)\/(-2)*3*g\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-68)\/(-1054) + (-1744)\/124?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - (19\/(-114) + 137\/120) and 47\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d + 3 - 6 - d**3 - 5 + 6*d**2 + 1. Let z be 26\/4 - (-4)\/8. Determine t(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2090 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12 + 42*1010\/15.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5210 and -5059.5?\nAnswer: 26359995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b - 124. Let t be d(-38). What is the highest common factor of t and 3934?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -359.052 + 360. Let a = g + -0.048. Sort a, -1, 4 in descending order.\nAnswer: 4, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 5:17 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 16?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33 + 33 - 35*v)*(-23 - 3 - 2 + (1 - 1 - 2)*(-1 - 1 + 3) + 1 - 2 + 0 - 1 + 3 + 0) in the form o + w*v and give w.\nAnswer: 1015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**2 + 21771*n - 43237*n + 21466*n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 4*m**2 - 6*m + 4. Suppose -4*h = h - 170. Suppose -5*o + h = -0*x - x, -10 = -5*o - 5*x. Is t(o) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-6) - (-23365)\/10. Suppose -u = -5*l - q, -4*l - 2202 = -5*u + 9541. Let p = u - 28283\/12. Find the common denominator of -87\/4 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-84)\/16)\/(14\/(1680\/225)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 7*c**2 - 9*c - 7. Calculate the remainder when k(-6) is divided by 10 - 9*(-30)\/(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 3*j**2 - j**2)*(-4*j**3 + j**3 + 4*j**3) + (-4*j + 0*j + 3*j)*(-4*j + 2*j + 3*j)*(7*j**2 + 2320 - 1880 - 4*j**2)*(2*j - 2*j + j).\nAnswer: -j**5 - 440*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 647 divide 73093410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 7*l + 12. Suppose -3*y + 4*f = y - 4, l*y = -3*f + 9. Let m = 37 + y. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**3\/6 - 17*l + 25. Let z(k) = -k**3 + 3*k**2 + 3. Let w be z(3). Let p(m) = -2*m + w*m + 0*m. What is p(i(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -366.0000047 - -366. What is b rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-38)\/400)\/((-17 - -21)\/8) and 13\/140?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*c + c + 72 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3 + 13. Let f(g) = -2*g**3 - 4*g**2 - 4*g - 2. Calculate the remainder when f(v) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/4, 4\/7, -29\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*w + 2*d, 5*w - 40 = 8*d - 4*d. Let g(k) = -3*k + 2. What is g(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 433 and 70579?\nAnswer: 70579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -819.648 < -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 57*t**2 - 119*t + 143. What is b(59)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1153 + 730 - 158 = 23*k. Let c = 152 - 102. Calculate the highest common factor of k and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54259?\nAnswer: 29, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47788356569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2350\/180 - 13 - ((-3)\/8)\/(837\/(-51460)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2\/6 + 6430345*a\/6.\nAnswer: -5*a*(a - 1286069)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9024020413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5, -3*a = -0*a - 4*j + 1. Let c be (a - 16)*(-26)\/65. Find the third derivative of 4*z**2 - 5*z**c + 12*z**6 - 14*z**4 + 14*z**4 wrt z.\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156056 by 4.\nAnswer: -39014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 400. Let t = 236\/3 - n. What is the nearest to 1\/4 in -3, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**5 + 6*q**5 - 5*q**5 + (11*q + 403*q**3 - 205*q**3 - 203*q**3)*(3*q**2 - 10*q**2 + 2*q**2).\nAnswer: 21*q**5 - 55*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1110010?\nAnswer: -1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 6688.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**3 - m**2 - 118*m - 2 - m**2 + 236*m + m**4 - 107*m to p*m + k*m**3 + q + n*m**4 + x*m**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 12. Suppose -26 = -b*j - a, 2*j - 4*a + 1 = 7. Let n be (2 + -6)*5\/(-4). Solve -5*r = -j*t - 25, -n*t - 3*r + 10 = -r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/(-129)*2\/((2028\/(-18))\/(-13)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15353 + -14769. Calculate the smallest common multiple of 2117 and b.\nAnswer: 16936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-1)\/(12\/15)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -19 - 35. Let v = 39 - g. Suppose -2*d = -d - v. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21913 divided by 152\nAnswer: 21913\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 26. Let u(h) = 4*h**2 - h + 2. Let n be u(d). Let r(f) = f - 2. Let p be r(n). Sort -4, 1, p.\nAnswer: -4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(12\/5)\/k**(-11) assuming k is positive.\nAnswer: k**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 + 0*z**2 + 5*z**2 - 13*z + 13*z wrt z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6641, -13242, -19847, -26456, -33069, -39686, -46307?\n\"Answer: -2*j**2 - 6595*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(-48)\/(-6)*9\/(-342).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170\/((70\/(-21) - -2) + 2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*t - 2*t - 140, 4*h - 5*t - 225 = 0. What is the remainder when h is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 27*l - 544. Let w be b(10). Solve 2*o + 11 = 1, -2*o = 4*u + w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2000)\/(4\/(-2)) - 0. Suppose 2*z - 3*z - n = 0. Round z to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72040468 + -72040472.00000049. Let p = -12 - -8. Let g = x - p. What is g rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764) + 6*((sqrt(1764) - 2*sqrt(1764)) + sqrt(1764)) + sqrt(1764) + sqrt(1764))\/(sqrt(7)*2*-6 + sqrt(7) - 2*sqrt(448)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 - 0.1. Let c = -1 + j. What is the nearest to c in 0, -2\/21, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**6\/24 - r**4\/24 + 30*r**2 - 2*r - 43. Let h(d) be the first derivative of s(d). Give h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 8. Let r be x(4). Suppose 0 = -o - c + 27, 8*o - 2*c - 34 = 6*o. Suppose -20*f = -o*f + 40. Solve 0*d = r*d + f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*k + 16 = -n + 6*k - 3*k, -4*n + k - 19 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 100*g + 2335. What is x(-38)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 20943392*r**4 + 4942650220*r**3 + 18328713*r**2\/8 + 531*r\/2 = 0.\nAnswer: -236, -3\/12944, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*i - 10, 5*q - i - 9 = -1. Suppose -h - 15 = 2*h. Let r = -85842 - -171683\/2. What is the smallest value in r, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112447 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 495.7 - 496. Sort 0, -2, p, -2\/5 in ascending order.\nAnswer: -2, -2\/5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 47, -2\/17, 1\/15, -0.1.\nAnswer: -2\/17, -0.1, 1\/15, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -870527*v - 3*v**2 + 5*v**2 + 870515*v.\nAnswer: 2*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {g: 1, j: 6, h: 1, z: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -81*u - 779. What is l(-9)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 + 215\/2. Let f = 121\/6 + -20. Let k = f - h. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:22 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**4\/24 + n**3\/6 - 21*n**2 + 5*n. Let g(m) = m - 6. Give g(h) + 4*w(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 875792*j**4 + j**2 - 3190170*j.\nAnswer: 10509504*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8515449*f*l + 267312*l + 11 wrt f.\nAnswer: 8515449*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10 = -3*x, w + 0*w + 5*x = -12. Let q = w + 3. Let c = -13 - -13. Which is bigger: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/3 + 379*v\/3 - 376 = 0. What is v?\nAnswer: 3, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 20501 - 14607 + 35108.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11758\/10 - (-3)\/15?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1215944, -1215945, -1215946, -1215947, -1215948, -1215949?\nAnswer: -1215950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*u - 25, 3*w - 46*u - 21 = -43*u. Solve 35 = -w*r + 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 1. Let d(x) = 3*x + 1. Determine 7*b(p) - 5*d(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1706*f**2*h**2*m + 3*f*h**2*m + 89*f*h + 2*f*m wrt f?\nAnswer: 3412*h**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.9 + 8.2. What is the closest to -4 in 3, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 3435 + 7498. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgvvvggggrrgvggvrrg. Give prob of picking 2 r and 1 g.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37543407?\nAnswer: 3, 11, 79, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 314 + -327. Let f(o) = 11 - 3*o + 4*o - 3*o. Let s = -9 + 3. Let d(i) = i - 5. What is s*f(a) + u*d(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -j - 2*j + 6, 0 = 4*o + 3*j - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 3. Let j be (12\/8)\/((-6)\/(-104)). Let b(h) = -4*h**2 - 1. Let c(a) = 15*a**2 + 18. Let g(u) = -5*b(u) - c(u). Calculate j*t(k) + 6*g(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.4 - 0.6. Let u = 2.1 + 4.8. Let n = u + g. Which is the third smallest value? (a) n (b) -0.3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2011 + -1430. Let g = a + -580.91. What is the smallest value in 2\/3, 2\/15, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2691, 2705, 2735, 2787, 2867, 2981, 3135, 3335?\nAnswer: 3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x - 6 = -3*v, 0 = -3*x - 9. Solve v*b = b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01062672 rounded to 4 decimal places?\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -3*n + 4*b - 20, 0 = 2*b + 4. Let q be n\/(-5*3\/(-15)). Solve -p = 5*t - 3*p + 15, 0 = -3*t - 2*p + q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29 and -1284.\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29847775.207784 - -0.15.\nAnswer: 29847775.357784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**3 + 135*i**2 + 300*i + 8. Let z(r) = -5*r**3 - 90*r**2 - 200*r - 5. Let t(v) = -5*h(v) - 8*z(v). Suppose t(u) = 0. Calculate u.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2)*(u - 4 + 4)*(2 + 0 - 4) to l + x*u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**5 - 3289*i**3 + 2*i**2 + 686187*i wrt i.\nAnswer: -40*i**3 - 19734*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*a**5 + 394*a wrt a?\nAnswer: -1140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 1, -15, -49, -107, -195, -319, -485?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*f - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4762794 divided by -46.\nAnswer: 103539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2471359 is divided by 756?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iie when three letters picked without replacement from eeii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/(2\/3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:54 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 886522 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 1575*y\/4 - 392931.\nAnswer: (y - 693)*(y + 2268)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29 + 16?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 200626036 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 41*c**2 + 336*c + 12. What is the tens digit of v(48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7805.861 hours in seconds?\nAnswer: 28101099.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 21*k - 17. Let s be d(1). Solve 207*z + s = 206*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72752 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 33, -652 in descending order.\nAnswer: 33, -3, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.7 - -5. Let a = -0.2 + y. Let z = -0.43 + 0.03. Put -1, z, a in increasing order.\nAnswer: -1, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41718 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 8*u**2 + 66 - 23 + 13*u**2 - 51 to y*u**2 + r + b*u and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -0.3 (c) 15\/136 (d) -2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, 23 in decreasing order.\nAnswer: 23, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 120*v**2 + 169*v - 13. Let p(w) = w**2 - 13*w + 1. Let s(o) = -d(o) - 13*p(o). Let k(g) = 17*g**2. Calculate k(s(m)).\nAnswer: 300713*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9956\/15 > 664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (492\/(-574))\/(3\/(-84)*114).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(1 - (-5)\/(-7)). Let n = -15.2 - -19.2. What is the closest to o in 5, n, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138268 divided by 52?\nAnswer: -2659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 507 (b) -1.3 (c) -1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7723461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12))\/((-3)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14035 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiieiiiiiiii. Give prob of picking 4 i.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 1. Suppose -8*u = -13*u + 30. Suppose -u = 4*t - t. Let s be 0\/(-1*(t + 1)). Calculate i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddkkxdxkdlddxk. Give prob of sequence xdk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-9))\/((-2)\/(-3)). Suppose 4*n + a - 12 = 0, -y*a = -4*n - a + 20. Let v(x) = -2*x + 3. Give v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0775406 grams?\nAnswer: 77540600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {o: 11, y: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 911, 1558, 2187, 2798, 3391?\nAnswer: 3966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m)**(-3\/2)\/(m*m**(6\/11)*m*m*m**(-5)) assuming m is positive.\nAnswer: m**(-1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*b - 3. Solve 6 = w + b*f - 0*f, -w - 10 = -4*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-28)*(105\/9)\/5. Does 1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*n - 16 = 32. Let s be n - (2 - (-15)\/(-3)). Factor 7\/4*j**3 + 5\/4*j**s - 1\/2*j + 0.\nAnswer: j*(j + 1)*(7*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 1360*v + 9634. What is f(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l - 10. Let w = 6 + 3. What is the remainder when 51 is divided by i(w)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6774*v**4 - 19198*v**2 wrt v.\nAnswer: 162576*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1598*v + 31959. Calculate w(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 113432002 (base 5) to base 6\nAnswer: 15210512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**2\/3 - 416*i\/3 + 10816\/3 = 0.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41111867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -3\/20*z**5 - 1\/8*z**4 + 0*z**2 - 3*z + 0 - 1\/20*z**6 + 0*z**3. Factor g(s).\nAnswer: -3*s**2*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -934.5000007722 + 934.5. Round f to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946360 is divided by 203.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 281 = -10*s - 3*a, -s - 3*a + 49 = 0. Suppose -2*o + y + 44 = 0, -2*y - y = 0. Suppose -o - s = -8*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11454 - -11456. Solve 0 = 3*b + 5*y - 26, 4*b - 3 = -v*y + 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15663499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567693909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.268829299*0.5\nAnswer: 0.1344146495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118874 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 7*u - 20045 - 20041 - 20054 + 60140.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.4 - 9. Let g = 3.9 + -6.2. Let x = 0.3 + g. Which is the biggest value? (a) 1\/5 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3128009 * 20\nAnswer: 62560180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2754) + -3*sqrt(2754))\/(sqrt(72)*2).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100446548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 45180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = 3*c - 21, -36*d + 24 = -3*c - 33*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -25*k + 1169. Let i(b) = -7*b + 390. Give 4*a(l) - 14*i(l).\nAnswer: -2*l - 784","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -5, 3, 0 in descending order.\nAnswer: 46, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9313 + 9309. Sort f, -3, 21 in decreasing order.\nAnswer: 21, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 1. Let t be c(-5). Let b be (0 - 1 - t)*10000. What is b rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 2*m**4 + m**4 + (0*m + m**2 + 0*m)*(0*m**2 - 2*m**2 + 0*m**2) + 4*m**4 + 3 - 3.\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1008) - (sqrt(84) - (sqrt(84)*1 - sqrt(84)))\/sqrt(12).\nAnswer: -1 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -71174, -284249, -639378, -1136555, -1775774, -2557029, -3480314?\n\"Answer: i**3 - 71033*i**2 + 17*i - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 - -82. Suppose -t*k + 6*k = 0. Let l(s) = -s**3 - s**2 - s + 7. Determine l(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4991128607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9) + (-49)\/(-3). Let y = 23 - t. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014581 rounded to four dps?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*t + 5*m, -2*t - 5*m + 4*m = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {g: 1, o: 4, f: 3, v: 1, e: 4}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, x: 3, u: 9, j: 2, i: 3}. What is prob of picking 2 i and 1 u?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 354\/59 - 29\/5. Let j(h) be the first derivative of -8 + y*h**5 + 2\/3*h**3 + 0*h**4 + 0*h + 0*h**2. Find the third derivative of j(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b6 + -69a?\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73*l*r**2*u - 107*l*r*u - 2*l + 355*r**2*u - 3616366*u wrt r?\nAnswer: -146*l*r*u - 107*l*u + 710*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/13 - 12\/78. Is (-312)\/(-2)*2\/c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313487668 to the power of 1\/2, to the nearest integer?\nAnswer: 65677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 6*k**2 + 8*k + 1. Let t be n(7). Calculate the highest common factor of 88 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*z + 4 = 2, -3*z - 6 = 0. Factor 25*f + 10*f**2 - 4984*f**k - 9 - 6 - 30*f**3 + 4989*f**4 + 5*f**5.\nAnswer: 5*(f - 1)**3*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 1 + 2. Let b(r) = r**5 + r - 1. Let l(i) = -11*i**5 - 3*i**2 - 4*i + 4. Let n(z) = w*l(z) + 4*b(z). What is the third derivative of n(u) wrt u?\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52887, -53409, -53931, -54453, -54975, -55497?\n\"Answer: -522*v - 52365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = y + 12. Let c = 0.00446 - -0.09554. Sort c, y, -2, 3.3 in descending order.\nAnswer: 3.3, y, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29\/58*1*(-3)\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3.5888, -0.66 in ascending order.\nAnswer: -7, -3.5888, -0.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k - 2 - 137*k**3 - 462*k**3 + 144*k**3.\nAnswer: -455*k**3 - 48*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*j = -59*j - 180642. List the prime factors of j.\nAnswer: 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8570812*b + 20894028 wrt b.\nAnswer: -8570812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*d**2 - 16*d**2 + 796*d - 438*d - 403*d as l + n*d**2 + m*d and give m.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1)*(4 + 45\/(-12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(26)\/(sqrt(2)*3) - ((sqrt(104)\/(sqrt(8) - sqrt(8)*1 - sqrt(8)))**2 + -4).\nAnswer: -9 - sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.5, 41128 in descending order.\nAnswer: 41128, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*r - 150, 4*w + 101 = 4*r - 43. Let n be (26\/w)\/(1\/18*-2). Calculate the highest common divisor of n and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101314 is divided by 50244.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*(10\/5 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -7, -2543?\nAnswer: -2543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -244 - -246. Solve 0 = 4*b - 2*p - 2, -4 = -5*b + 3*b + y*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. What is the remainder when 11 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-400)*((-5)\/3)\/(-1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13*w**2 - 5*w + 3. Let x be c(-4). Suppose 4*y + 2*a - 237 = -51, -5*y + x = 2*a. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**4 + 810*d**3 - 12960*d**2 - 4320*d + 622080 = 0?\nAnswer: -6, 12, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -6*p**5 - 54*p**2 - 143*p. Differentiate t(l) with respect to l.\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 2*z**2 + 2*z**2)*(z - z + 2*z) - 2*z**3 + z - z + (-z + 23*z - 6*z)*(z**2 + 2*z**2 - z**2).\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4780, 3295, 16752, 35591?\nAnswer: 59812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3348 divided by -2.\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 5*l + 0*l)*(-5 - 1 + 4) - l + 3*l - l + l + 1 - 6 + 1.\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-1021*v + 513*v + 507*v - 33).\nAnswer: -v - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac7aa0 (base 14) to base 6.\nAnswer: -325340044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2211 (base 7) to base 13\nAnswer: -48c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -184*c + 247. What is the tens digit of f(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78057 divided by 49\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1656, -1660, -1664, -1668?\n\"Answer: -4*m - 1652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42156 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.6 - -26.4. Is j greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2292 and 3792?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71, -134, -195, -254, -311, -366?\n\"Answer: u**2 - 66*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -71. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 + 28 = -3*g. Suppose 5*b - 158 = g. Let w = 39 - b. What is the nearest to -2 in 2, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by -25.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (61 - 55 - (-2 + 9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32.5 - 22. Let i = -10 + k. Let l = 4.43 - 2.43. Sort i, -0.6, l.\nAnswer: -0.6, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l + 12*l - 4*l - 3*l - 2*l. Let n(u) = 1374*u**2. Calculate n(q(c)).\nAnswer: 1374*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*w**3 + 21*w - 21*w**5 + 23*w**5 - 2*w**3 wrt w.\nAnswer: 40*w**3 - 450*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 783610*q - 5 - 1 + 89161*q + 5.\nAnswer: 872771*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**2\/2 + 113. Let l(u) = -24*u. Let t(y) = -551*y. Let h(c) = -114*l(c) + 5*t(c). What is q(h(v))?\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/17 less than 7\/3159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.975 - 14. Round z to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98329\/24 + -4096. Find the common denominator of 952\/308*(4 - 3) and s.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-10)\/((-6)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1167, -1168, -1171, -1176, -1183, -1192, -1203?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (sqrt(304) + sqrt(304)*1)**2) + -2 + -3.\nAnswer: -1221 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:33 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171327 divided by -4393?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 9*c + 2. Let a be p(4). Let z = a + 57. Suppose 2*x + z = -17. What is the common denominator of x and 50\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -19*b + 81*b - 40*b. Let z(o) = -7*o**2. Determine c(z(g)).\nAnswer: -154*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 3377.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.5, 30, 1\/4, -0.1 in increasing order.\nAnswer: -0.5, -0.3, -0.1, 1\/4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -1, -6 in ascending order.\nAnswer: -30, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 381.7 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 7*f - 7. Let i(j) = j**2 + 8*j - 8. Suppose 4*u = 7*u + 12, 5*u = 5*q + 5. What is q*i(r) + 6*m(r)?\nAnswer: r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17033 + -119229\/7. Put d, -16, -1\/2, 5 in descending order.\nAnswer: 5, d, -1\/2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1609, -1657, -1691, -1705, -1693, -1649, -1567, -1441?\n\"Answer: b**3 + b**2 - 58*b - 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4246141613?\nAnswer: 7, 10247, 59197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 588621618?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + ((8 - -42) + (-15 - -4) - 5) + 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/60 - 7*r**3\/3 - 5*r**2. Let z be a(0). Let i = z - -24. What is the least common multiple of i and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77515747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10540 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733 smaller than -1304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 - 21 = -4*f. Let m be (-7 + (-3 - 0))\/(-2). Solve f = -m*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 41. Suppose -i - 45 = w*t - 4*t, -3*i + 57 = 2*t. Suppose 4*s - m - 17 = -s, 4*m - t = -3*s. Calculate the lowest common multiple of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 - 5*i**2 + 8*i + 8. Is j(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/65*(-256)\/12. Let z = -18\/13 - t. What is the biggest value in 1, z, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7094\/1453 - 2580498\/1370179. Let v = x + 150\/23. Find the common denominator of 43\/3 and v.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-16)\/72*-9). Suppose 2*m + 6 = -2*z, c = -15*m + 12*m - z - 3. Solve -12 = -m*y + 12*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqn when four letters picked without replacement from {q: 3, n: 4, e: 1, j: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.003326243 - 8.996672797. Let s = -41 - -50. Let l = h + s. What is l rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*l*t**2*x**3 + 9*l*t**2*x - l*t**2 + 5*l*t*x**2 + 2*l + 224*x**3 - 6*x**2 wrt x?\nAnswer: 102*l*t**2 + 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -27682, -7 in descending order.\nAnswer: 5, -7, -27682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -31556920 less than 92?\nAnswer: 31557012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-16)*(-1 - -1). Suppose 0 = k - 3*m + 32, x = -4*k + 4*m - 28 - 92. Let g = k + 45. Calculate the remainder when 30 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 16 + 26 + n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 10*n**2 - 2*n - 2. Suppose 5*y + 3*a - 22 = 0, 3*y + y - 4*a - 24 = 0. Suppose 10*i = q + y*i + 18, 2*i = 4*q. Is d(q) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*z - 2*z**2 - 19*z)*(-28 + 11 + 11).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.3 (c) -126314 (d) -16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 187 and -10754?\nAnswer: -2010998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321, -328, -339, -354, -373?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 8. Let t = 20 - 20. Let c be v(t). Differentiate c*g - g + 4 + 0 wrt g.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 28*h**3 - 5*h**3 + 3 - 2*h**3 + 5*h**2 - 10*h**3 - 8*h**3. Let g(s) = 5*s**3 + 8*s**2 + 4. Calculate -5*g(y) + 8*r(y).\nAnswer: -y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -4. Let g(k) = 5*k**3 - 5*k**2 + k + 4. Let z(n) = 4*n**2 - 3 - 9*n**3 + 5*n**3 + n**2. Let i(u) = -5*g(u) - 6*z(u). Determine i(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-6)\/(39\/(-13)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1 - (-1307862)\/30 - 219\/(-365)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 6*g. Suppose -8*m + 36 + 4 = g. Solve -q = -0*q - 4, -5 = -5*t + m*q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558\/(-124)*(28\/18 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) 0.5 (c) -660578\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*v = -2, -2006*n + 2010*n = -2*v + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/79)*l**(-17))\/((l\/(((l*l**2)\/l)\/l))\/l**(23\/4)) assuming l is positive.\nAnswer: l**(-3231\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*w)*(-w - 5*w - w) - 4*w**2 + 3*w**2 - 5*w**2 + 2*w**2 - 2*w + 2*w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1244 + 1242.627. Let f = 0.056 + 1.264. Let p = m + f. Round p to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven halves of a century?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -1810?\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1403 or -1400?\nAnswer: -1403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(3\/(-30))*690\/7935*23\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 2. Let r(y) = -47*y + 3. Give 2*o(j) + r(j).\nAnswer: -45*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 * -1624.3.\nAnswer: -2598.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7971632 years in centuries?\nAnswer: 0.007971632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*k + k + 2, 4*w = -4*k. Let q be (w - 3)\/(2\/4). Let f(j) = j**2 + 2*j + 2. Let i be f(q). Solve i*y + 8 = 4*s, -y + 2*y + 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v**2 - 1386*v + 5. Let i be d(-99). Suppose -q = 3*u - 3*q - 4, 5*q = -5*u + 40. Put u, -2, i in descending order.\nAnswer: i, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**20*a\/(a*a**18)*a*a*a*(a*a*a**(-2\/23)*a)**(-1\/3) assuming a is positive.\nAnswer: a**(278\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*k**3 + 42*k**3 - 137*k**3 + 46*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o - 4. Let k be z(1). Suppose -k*i = -10 - 0. Solve -i = 5*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h*y**4 - 3*h*y**3 + h*y**2 - 435*h + 2*y**4 + 37*y**3 - 3*y**2 wrt y?\nAnswer: 144*h*y - 18*h + 48*y + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 11 = 5*y + 18, -2*s + 2*y = -28 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14749000 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 286*w**5 - w**2 + 18*w.\nAnswer: 17160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1139.4 - 1139. Let k = -3.05 + 3. What is the closest to 2 in x, k, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8))**(-35) assuming x is positive.\nAnswer: x**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 2*t**3 + 1\/20*t**5 + 0 + 4*t - 4*t**2 - 1\/2*t**4. Factor w(u).\nAnswer: (u - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -261*f**4\/4 + 2*f**3\/3 - 1710*f + 3602. Differentiate d(v) with respect to v.\nAnswer: -783*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h - 4*h)*(-1 - 1 + 3).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 5 (c) 2\/9 (d) 37.707 (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (128\/(-36))\/(-16) - 1705\/99\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93079 is divided by 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3 + 8 + 4*d**2 - 2*d**2 - 4. Let a(m) = 3*m**2 + 10. What is 5*a(r) - 7*f(r)?\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from kqkkkakkqqqkq.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6780 a factor of 3890675194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9361843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 57*s**4\/2 + 61*s**2 - 106. Find the second derivative of w(q) wrt q.\nAnswer: 684*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/2))\/(g*(g\/(g**0*g))\/g))\/((((g*g\/(g**(-2\/7)\/g))\/g)\/g)\/(g\/(g*(g\/(g*g**(-1\/7))*g)\/g))) assuming g is positive.\nAnswer: g**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2748\nAnswer: -2748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -24*r + 15*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (36\/45)\/(8\/2780)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12160200 divided by 9354\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -32 + (4 - 3) + 6\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.061195 hours to nanoseconds.\nAnswer: 14620302000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.79, -84, -1?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(2\/55))\/(x*(x**9\/x)\/x) assuming x is positive.\nAnswer: x**(-332\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5040161261 - 1?\nAnswer: 5040161260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhrrhrffrafhrafra. What is prob of sequence fh?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 9 = 2*q - 3*m, 3*q + 6 = 3*m. Let f = q - -62. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 3\/101 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(2\/5)\/s))\/(s*(s*s**(-11\/7))\/s) assuming s is positive.\nAnswer: s**(76\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10018*x - 21972*x - 16010*x.\nAnswer: -48000*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 3*p**2 + 3*p - 4. Give k(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b93 (base 13) in base 6?\nAnswer: -140004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -1\/2*n**4 - n + 0*n**3 + 2 + 1\/2*n**2. Give z(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + (5*(sqrt(1584) + -1 + sqrt(1584)) + sqrt(1584) - (sqrt(1584) + 4*sqrt(1584)*-2 + sqrt(1584) - sqrt(1584))) + 5))**2.\nAnswer: -1728*sqrt(11) + 513232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -7)*(-2)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (12 + -1 - 5) - -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, 0, 2, 19, 33, 21 in ascending order.\nAnswer: -94, 0, 2, 19, 21, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(420) - sqrt(420))\/sqrt(12) - sqrt(35) - sqrt(1260)*-3)\/((4*sqrt(300)\/sqrt(5))\/(sqrt(48)\/(sqrt(16)\/sqrt(4)))))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 4*w + 13. Let a(m) = 3*m**2 + 11*m - 40. Determine 4*a(g) + 11*r(g).\nAnswer: g**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3633 = -63*n - 10*n - 100*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221386b (base 12) to base 2.\nAnswer: -11000110010001000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (-35)\/(-7))\/(-9 - -6). Solve -3*f + 4*w = 2*w - 13, -f + 7 = -c*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:49 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4d58 (base 14) to base 7\nAnswer: 54441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -50 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q. Let j(t) = -2106*t**2 - 25394496 + 25394496. Determine z(j(k)).\nAnswer: -4212*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/43))**(-22\/3))**32 assuming a is positive.\nAnswer: a**(-704\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-56))\/((-1)\/(-1)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-4)\/352)\/((-84021)\/(-64016))\nAnswer: 4\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 207323307 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*b + 26*b + 24*b.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8533 + -8529. Calculate the highest common divisor of v and 4196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 5*m**4\/4 + 150*m. Let j(b) = 3*b**2 - 30. Determine x(j(l)).\nAnswer: 135*l**4 - 2700*l**2 + 13500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 258, -2.24, 0.055?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28162, 0.5, -4\/31, 2 in descending order.\nAnswer: 2, 0.5, 0.28162, -4\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/18*199 + (-4)\/(-6). Let d be (-2)\/12 - s\/(-72). What is the units digit of d\/(-10) + (-314)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 5*o + 6. Let l(h) = -h**3 + 8*h**2 + 8*h - 10. Let r = 25 - 16. Let z be l(r). Let m = 12 + z. Give a(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14364214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by (20 - 33 - -12)\/(1\/(-83)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -34. Calculate the remainder when 9 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {p: 2, q: 8, o: 1, n: 2}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Which is the nearest to 1\/3? (a) -2 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 13529 = -17507. Calculate the highest common divisor of 13770 and t.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -21*o**3 + 9*o + 17. Let c = -153 + 145. Is y(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (475\/(-38) + 13)\/((-3)\/2)*0. Let p(x) be the third derivative of s*x + 0*x**3 - 29*x**2 - 7\/8*x**4 + 0. Let w(u) = -2*u. What is w(p(y))?\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549670529.\nAnswer: 549670529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 12. Let x = s + -11. Let i = -6.7 - x. What is the closest to 1 in 1\/2, -0.3, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1480\/(-12))\/5)\/(-21*(-68)\/2142)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 + 20347*s**2 - 20362*s**2 - 243 to the form h + t*s + p*s**2 and give h.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d - 22. Let c(i) = -2*i - 7. Let b be ((-4)\/6)\/(4\/(-30)). Suppose 32 = -3*r - 22. Let k = -34 - r. Calculate b*j(n) + k*c(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 2 + -3 - -2. Let h be 3*(-2)\/(-6)*8. What are the prime factors of h + (2*-1)\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32071913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + 6*(sqrt(5) + sqrt(35)\/sqrt(252) + -4).\nAnswer: -23 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1512 and 1071.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 23. Let s be t(-7). What is the third derivative of 5*q**2 - 35*q**2 - 22*q**3 + 4*q**3 - s*q**3 wrt q?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 11*j**2 + 8*j + 13. Let q be r(10). Let c be 2\/(-7) + (-65)\/q. Calculate the highest common divisor of c and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 1. Let f(v) = 2*v - 3. Suppose -4*a + 10 = -2*g, 2*a + a = -g. Let w(y) = g*c(y) + f(y). Let t(u) = -27*u. Determine t(w(k)).\nAnswer: 27*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, n: 2, v: 1}. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, o: 2, q: 1, z: 1}. Give prob of sequence oq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7209913 to the nearest integer?\nAnswer: 2685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + 3?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxesxpxpeeinn. Give prob of sequence pxnp.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 26 + (1 + 0 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.13*4224\nAnswer: 8997.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 = -3*h, -h + 14 = 3*k + h. Let c be (3\/24*-2)\/(k\/(-16)). Let i(t) = -4*t**c - 2*t + 9*t - t**3 - 6*t. Give i(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*c = -3*h + 3495, -2*c = -3*h + 2099. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, -10\/11, 2\/9 in increasing order.\nAnswer: -2, -10\/11, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*2*(-1482)\/19760.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421220708 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85687, -171376, -257065, -342754?\nAnswer: -428443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from vwwwvvwwwsvvwvwav.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449593 is divided by 44958.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-60)*-2)\/((-2)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -4. Let h be (-294)\/10 + -1 + 12\/30. Let w be ((-9)\/h)\/(27\/(-36)). Put w, -1\/15, i in descending order.\nAnswer: -1\/15, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -8*y**2 + 5*y - 12. What is the hundreds digit of u(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446, 2742, 8864, 20726, 40242, 69326, 109892?\nAnswer: 163854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7312713, -7312643, -7312521, -7312341, -7312097, -7311783, -7311393?\n\"Answer: o**3 + 20*o**2 + 3*o - 7312737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -846142, -846141, -846140, -846139, -846138, -846137?\n\"Answer: i - 846143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -13, -1\/6 in descending order.\nAnswer: -1\/6, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5499?\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 21*j**2 - 209*j - 90. Let k(c) = -16*c**2 + 210*c + 90. Let o(m) = 7*k(m) + 6*w(m). Factor o(z).\nAnswer: 2*(z + 15)*(7*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-8) - (-2)\/8. Suppose -4*d = -4, -f*v + d - 13 = v. Which is greater: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 760157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(1\/6))\/y**0)\/(y*y**0)**24*y**(-1\/3)*y*y**(2\/7)*y*y**(-1\/2)*y\/(y\/((y*y**(-4\/5)*y)\/y)) assuming y is positive.\nAnswer: y**(-718\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8077933 divided by 1\nAnswer: -8077933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -3)\/(-18)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3420 divided by -15.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 44 + 2*n - 45 - n. Let z(m) = -3*m + 11. Let b(q) = -g(q) - z(q). Let c be b(5). Solve 3*h + 9 = -c*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.111 + -0.110999132. What is p rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 40 = 106*s + 901 - 131 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -369 - -1230. Which is smaller: 860 or k?\nAnswer: 860","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24193\/3, 0.05, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-12 - -18 - (0 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 3266\/5, 30, -420?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 8*h + 24. Let w be f(10). Suppose 4*u = -w*j + 892, -802 = -3*u - 4*j - 138. List the prime factors of (-1 - 2)\/((-237)\/u + 1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**5 - 155*p**4 - 290*p**3.\nAnswer: -5*p**3*(p + 2)*(p + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(2299) - (sqrt(2299) + 1)) + sqrt(2299)))**2 + (sqrt(2299)*-2 + 3)**2 - (sqrt(2299) + -1*(sqrt(2299) + (2*sqrt(2299))**2) + 2).\nAnswer: -682*sqrt(19) + 75899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 690 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -524, -1292, -2814, -5372?\nAnswer: -9248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 0.1, -6, -1\/210, -4\/3, -4, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -6. Let s be 3 + (4 + 20)\/k. Which is the third biggest value? (a) -1\/11 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*k**5*p + k**4*p**3 - 187*k**2*p**2 - 3*k**2 - 3*p**3 wrt k.\nAnswer: 6900*k**2*p + 24*k*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**3. Let o(s) = -8*s**3 + 10*s + 5. Let f(a) = -5*a**3 + 6*a + 3. Let u(m) = 5*f(m) - 3*o(m). Give 4*b(q) + 7*u(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(68) + (sqrt(68) - (sqrt(68) + 1*sqrt(68) + sqrt(68))) + -4 - sqrt(68)) + 3*sqrt(34)\/sqrt(128)*-4)**2.\nAnswer: 99*sqrt(17) + 2381\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6378045 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25021690 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 + 231 = 0. Is (m\/(-21))\/((-17)\/(-119)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-10)\/(-8))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u**3 - 58*u**2 - 39*u + 179. Give n(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23904527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 53 - 39 + 2*h.\nAnswer: 2*h + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3589 - 3353. What is the highest common factor of f and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 74*i**2 + 1116*i + 65. What is r(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/10 - -4\/5. Let n(x) = 2*x**2 - 2*x - 2. Suppose -4*f + 7*f = 6. Let v be n(f). What is the smallest value in 5, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, w: 5, z: 2, k: 1, l: 1, n: 3}. What is prob of sequence kh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/20466 and -133\/120522.\nAnswer: 1084698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and -149.\nAnswer: -149.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -31. Let i be -2 - v\/7 - 1\/7. Solve 2*t + 10 = -i*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k - 99 + 27 - 28. Determine b(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*h - 289*h + 45 = 0. Which is the nearest to -3\/5? (a) 0.17 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498*r = 798 + 1194. What is the least common multiple of r and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 990*t - 16*t**2 - 990*t.\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 54?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 1\/10*f**6 + 0*f**2 - 1\/3*f**4 + 2 + 2*f + 1\/3*f**3 + 3\/20*f**5. What is the third derivative of a(u) wrt u?\nAnswer: 72*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 559, 840, 1123, 1408, 1695, 1984?\nAnswer: 2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -750*k**4 + 1952*k**2 - 899950.\nAnswer: -3000*k**3 + 3904*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)*h*h*h*h**(1\/3))\/(h**0*h)**(-24) assuming h is positive.\nAnswer: h**(568\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-76 - -30 - (-28 + -12)) + 69 + 1)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 9:05 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -251 + 322. Let h = p + -69. What is the second biggest value in -4, 5, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 + 217. Let u be 72\/42 - (2 + t\/(-28)). Suppose -14 = -5*q - 3*i, u*i + 10 = 3*q + 3*i. Solve 2*h + q + 6 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 42 = 2*u - 249, -125 = -3*r - u. Let f = 47 + r. Calculate the highest common factor of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37091 (base 10) to base 16.\nAnswer: 90e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5598 and 154.\nAnswer: 431046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 18 - (-33 + 27 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/90 - 6\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1875 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjyyjjjjj?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = i - 22 - 91, -7*i + r = -911. What is the least common multiple of 1149 and i?\nAnswer: 49407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -4359366?\nAnswer: -21796830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 22*c = -2. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -11*z**7\/42 - 17*z**3\/3 + z**2 + 22*z. Find the second derivative of k(s) wrt s.\nAnswer: -220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*i = -10, -3*p + 6*p - 4*i - 10 = 0. Let j(m) = 19*m**2 + 3*m + 3. What is the units digit of j(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59711610001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -59, -239, -707, -1607, -3083, -5279, -8339?\n\"Answer: -24*y**3 - 12*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -287.\nAnswer: -23\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 12*k**2 + 13*k - 4. Let n be g(-13). Let f be ((-28)\/(-8) + -4)*n. Find the first derivative of 543*z**f - 543*z**2 - 3 + 10 + 16*z**3 wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0 - 8. Let g be 0 - 1\/(10\/v). Which is the smallest value? (a) 2 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.7915351 - -0.0915173. Let n = k - -8.7. Round n to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5927, -11769, -17611?\nAnswer: -23453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 50. Which is the third biggest value? (a) u (b) 2 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5*y + 30. Put 1, 408, y in ascending order.\nAnswer: 1, y, 408","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.5298 micrometers in millimeters?\nAnswer: 0.2795298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*y**3 + 3*y**3 + 4*y**3 - 16*y**3 - 25*y**3.\nAnswer: -77*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 21470*c**3 - 36114*c**2 + 36. Let v(d) = 16102*d**3 - 27085*d**2 + 28. Let p(g) = 7*a(g) - 9*v(g). Find the third derivative of p(b) wrt b.\nAnswer: 32232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**4\/12 + 5*z**3\/6 - 4*z. Let i be q(4). Let b(g) = -g**3 + 9*g**2 - 3*g + 6. Is b(i) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -554*o**2. Let q(t) = 47750*t. What is g(q(l))?\nAnswer: -1263154625000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 - 10*q**2 + 35*q - 2*q**2 + 2*q**2.\nAnswer: -17*q**2 + 35*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.6 and 91.082.\nAnswer: 692.2232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -350*l**2 + 178*l**2 - 2 + 21*l + 177*l**2 as x*l**2 + i + r*l and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let w(q) = -4*q + 1. Let b(n) = n. Let v(z) = -12*b(z) - 4*w(z). What are the prime factors of v(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 - 38 + 22 = -33*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c*c\/((c\/(c*c**(3\/4)))\/c)*c*c))*c*c**0)**(2\/23) assuming c is positive.\nAnswer: c**(31\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1406, 1426, 1448, 1472, 1498, 1526, 1556?\nAnswer: 1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/7 - 804*u**3\/7 - 106920*u**2\/7 - 656100*u + 14762250\/7.\nAnswer: -2*(u - 3)*(u + 135)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-948)\/4582)\/(-1 + -5)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18554 (base 11) to base 14\nAnswer: 965b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.848l in millilitres?\nAnswer: 403848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184877238 and 52822068.\nAnswer: 369754476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 + 213. Suppose l*x + 24 = 87*x. Solve -x*s = -0*s + 2*g + 18, 0 = -s - 4*g - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 3. Let t(n) = n. Let r(p) = -k(p) - 5*t(p). Calculate r(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/(3 - -1) - -2. Let y be ((-12)\/7)\/((-4)\/14). Suppose -y*m + 3*m = 2*l - 36, -m + 11 = l. Calculate the highest common factor of b and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -u, -10 = -u - 0*u + 2*x. Suppose 45 - 123 = -3*q. Solve -4*a = -q + u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.0241, 7, 0.1, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2931478*p**3*r - 84*p**2*r + 22*p**2 + 30*p wrt p?\nAnswer: 17588868*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*1655\nAnswer: -115.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q. Calculate s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (624\/102 - 6)*18 - 2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/50*(-28)\/(-42).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111327541 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmamammammmaamaaammm. Give prob of sequence ama.\nAnswer: 77\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 634 - 612. Let l be 8\/(-5 - (-118)\/t). Solve -l = 2*y + 6*b - b, 0 = 4*y + 4*b + 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = 2*o, -4*o = t - 2*t + 8. Let p = -8 + 13. Sort p, -3, t in ascending order.\nAnswer: t, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 73. Let t = 32 - h. Let d(u) = -10*u**3 + u**2 + 2*u + 1. Calculate the remainder when t is divided by d(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 475875 by 4.\nAnswer: 475875\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29094700 and 4655152?\nAnswer: 116378800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, -6, 4, 3 in decreasing order.\nAnswer: 4, 3, -6, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/16156532 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 63 = -43. Let z = p - 34. Round z to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -770 - -770.00285. What is g rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70035\/(-1176588))\/((-45)\/8).\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 21. Let w = a + -30. Suppose -w*c - 2850000 = -0*c. What is c rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 51 - 15. Suppose 12 = -4*y + 6*y. Calculate the least common multiple of y and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2*n + 5)*(2098*n**2 + 2101*n**2 - 4197*n**2 + 752*n) to p + x*n**2 + a*n + j*n**3 and give x.\nAnswer: -1504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**6\/30 + k**4\/24 + 11*k**2. What is the second derivative of s(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 22*n**2 - 19*n + 58. Let a be w(-21). Solve 0*c + 4 = -4*c - 4*u, 0 = 4*c + u + a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/40 - 5*r**4\/8 + 25*r**3\/4 - 2*r**2. Suppose t(j) = 0. What is j?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 98 = x, -2*x - m = -7*x - 545. Are x and -101 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3313138 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 + 12*l + 4. Let x(g) = -14*g**2 - 33*g - 11. Let m(n) = 11*b(n) + 4*x(n). Let s(o) = 244*o + 1. Calculate m(s(r)).\nAnswer: -59536*r**2 - 488*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3178 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9575 in 4\/39, -3\/5, -2\/13?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3))**21*w**(-3)*(w\/(w\/w**3))\/w*(w*w**(-1\/5)\/w)\/(w**(-2\/5)*w)*(w**(-2\/3)*w*w)\/w*w\/(w\/((w\/w**(-2))\/w*w)*w) assuming w is positive.\nAnswer: w**(-202\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2. Let z be x(0). Suppose z = b + 1 - 26. Solve -5*v - 10 = -b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 98 + 96 - 371 + 91 + 8*k + 90. Let w(l) = -23*l - 7. Let i(g) = -11*g - 3. Let q(s) = 11*i(s) - 6*w(s). Calculate 9*h(f) - 4*q(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**7\/105 - s**6\/15 - s**5\/10 + s**4\/3 + 4*s**3\/3 + 2*s**2. Factor z(t).\nAnswer: -2*(t - 1)*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 481501 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7671745 - 6358255. What is u rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 61 = -40*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 3414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149*k**4 - 3534*k**3 - 2*k**2 - 508433*k + 27 wrt k?\nAnswer: -1788*k**2 - 21204*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from {p: 2, o: 7, l: 1, a: 7, n: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (1406\/(-4))\/((-5254)\/40848 - (-2)\/23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92683 and -1?\nAnswer: 92683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 364330136 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -2, -2.8, 2, -84?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {t: 3, e: 1, p: 10, v: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9641.752mg in grams?\nAnswer: 9.641752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - 4 + 4)*(-1 - 6 - 1)*(3 - 4 + 2) as m + c*d and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4685 by 4.\nAnswer: -4685\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*d - 428 + 752 = -1105 - 216 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 125780.6l to millilitres.\nAnswer: 125780600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 313*w**2 + 316*w**2 + 175 + 425*w - 631*w**2 - 2065 + 8*w with respect to w.\nAnswer: -4*w + 433","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 159, 3, -5\/2 in increasing order.\nAnswer: -5\/2, 3, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 5*r**2 - 3*r + 4. Let j be h(6). Let m be 4\/j - 120\/55. Let b = -6 - -8. Put -1, m, b in descending order.\nAnswer: b, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c*c**(-37))\/c)*c)\/c**(-3\/17))\/(c**(1\/19)*c)**(5\/3) assuming c is positive.\nAnswer: c**(37231\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11987373 - 7862627 = 5*r. Round r to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*x**4 - 66*x**4 + 134*x**4)*(-x + 15*x + x).\nAnswer: 30*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 3*k**2 + 6*k + 7. Let l be g(-6). Let f = l - 260. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/28)\/(3\/((-63)\/6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 55. Suppose -3*h - 3*p = -117, -4*h + 125 + g = 2*p. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20754 is divided by 3459.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/120 and -41\/12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 0*b + 4*b)*(-b**3 + 4 - 4).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.3 + 1.3. Let z = m - -7.6. Which is the second biggest value? (a) -2\/15 (b) z (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhth when four letters picked without replacement from ttiihthhht?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1327\/3496 - -2\/437. Sort 2, u, 1 in ascending order.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((14 - 1) + (-24 + 20 - 54))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 738, 5613, 18842, 44601, 87066?\nAnswer: 150413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*u + 3*r, -u = 3*r + 16 - 2. Let y be (-26 + 30)\/(u + 1). Solve 0 = -0*p + y*p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104079931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -619 + 611. Sort -1, v, 0 in increasing order.\nAnswer: v, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from kimlioiikppm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566924 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29297 divided by -29297.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -65) + (1 - 10) - (3 + 10) - 77\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 3. Let v = -24 - -21. Suppose -3*z + 13 = -2*k, 2*z = -3*k + 3*z - 16. Let y(d) = -6*d - 5. Determine k*u(t) + v*y(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/63)\/((-1)\/(-2)*(-48)\/(-252))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -122*q**2 + 13671*q - 781. Calculate s(112).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 1987763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848503?\nAnswer: 509, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - z - 40, 8*t - 8 = 7*t + 3*z. What are the prime factors of 32\/t*(-132)\/(-1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/17675 and -1\/9.\nAnswer: 159075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -26, -0.3, 1\/8, 0.5, -1\/8?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7687.4 from 1.\nAnswer: -7686.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 10*j**2 + 9*j - 19. Let w be s(-11). Solve 0 = -4*p + 9 + w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16205\/(-926)*2\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -8.3. Which is the third biggest value? (a) -5 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*a + 17, 3*a - 12 = 3. Let l(u) = -131*u. Let y be l(-1). Suppose -y - 101 = -g*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 9*p = 0. Let o be p\/(-2)*-1*(-1)\/(-2). Solve 5*b + y + 13 - 2 = 0, -5*y + 20 = o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/20 - ((-22)\/15 - 0)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6566.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 207 or 209?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -25. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5230211*p**4 + 7514921*p - 1 wrt p.\nAnswer: -62762532*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1989.24557 to the nearest 10.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1639994*c + 23. Let j(i) = -819997*i - 12. Let q(n) = -13*j(n) - 6*o(n). Let s be q(6). Suppose 5*u + u + s = 0. Round u to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 v when four letters picked without replacement from lyvvly.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2577011 (base 8) in base 4?\nAnswer: -2233320021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -945975742516.7+-30\nAnswer: -945975742546.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)\/i)\/i**(-2\/3))**(6\/19) assuming i is positive.\nAnswer: i**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) -390865 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m**2 - 5*m**2)*(11*m - 11*m - 4*m**3) + (0*m + 2*m**4 + 0*m)*(m - m + m) + (4*m**4 - 5*m**4 + 0*m**4)*(0 + 0 + m).\nAnswer: 17*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j - 447. Calculate k(-48).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -147\/2. Let w = -3 - -3.1. Let n = 0.821 - -0.179. Which is the second biggest value? (a) f (b) n (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 5*s**2 + 10*s - 9. Let m be v(7). Let g = 9778 - 9725. What is the greatest common divisor of m and g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 1. Let i(q) = 2*q - k - 5 + 15 - 13*q. Let o(s) = 23*s. Calculate o(i(y)).\nAnswer: -253*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 28020800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26705123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 41*g**4 - 29*g**3 + 2*g + 1770*g**2 + 32*g**3 - 1771*g**2 to the form m*g**2 + f*g**3 + o + i*g**4 + v*g and give i.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5810*g - 5792*g - 630 = 0 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 165*i. Let p(o) = -13*o**2 + o + 9340. Determine s(p(m)).\nAnswer: -2145*m**2 + 165*m + 1541100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -12*n**2 + 12214*n - 677059. Determine p(959).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.88574664 take away 13?\nAnswer: -32.88574664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12595, -12832, -13081, -13348, -13639, -13960?\nAnswer: -14317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 938 + 501. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 10) + -1 + 30. Solve p*t = 11*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211213101 (base 4) to base 16\nAnswer: -259d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*x - 4*d + 27, 5 = 4*x - 3*d. Let s = 4 - -11. Let h be (-12)\/s*10\/(-4). What is the highest common factor of x and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**3 + 917*c**2 + 2676*c.\nAnswer: 24*c + 1834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 23836*t + 47680.\nAnswer: -2*(t - 11920)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 11) in base 16?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, -120, -491, -1206, -2379, -4124?\n\"Answer: -19*s**3 - s**2 - 5*s + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*l - 247*l + 11554 = -510. Solve 2*p = n + 11, -90*n + 87*n = -5*p + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.64 - -0.67. Let u = -1194\/5 + 238. What is the smallest value in -0.2, u, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 595*z - 10.\nAnswer: 595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 17403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -492*f. Let b(h) = 433*h**2. Give b(j(y)).\nAnswer: 104813712*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + 4 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -59638642 and 301977?\nAnswer: 59940619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182*s**2 + 2*s - 39.\nAnswer: 364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 1374 (c) -87\/62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 69218, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 7*b - 18 = -3, 2*b = -5*m - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.3 + 7.3. Let i be 1 - 2*2\/(-4)*-1. Which is the third biggest value? (a) -2\/23 (b) -6 (c) k (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 464291?\nAnswer: -2321455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 9. Let s be ((-1)\/1)\/((-18)\/108). Let w be 1*(-1)\/(-6)*s. Which is the third biggest value? (a) i (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07042, 17759, 3 in descending order.\nAnswer: 17759, 3, 0.07042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/89032 and 59\/77903.\nAnswer: 623224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*w**2 + 4*w**3 + 23*w**2 - 2*w + 2*w**3 in the form n*w**2 + a*w**3 + i*w + z and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -31 in decreasing order.\nAnswer: -3, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -22799?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139*u**4 + 1012*u**2 + 7498308*u wrt u.\nAnswer: -1668*u**2 + 2024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 12. Let y(r) = 3*r - 11. Let s = -161 - -167. What is s*y(p) - 5*c(p)?\nAnswer: -2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1404013 (base 5) to base 13.\nAnswer: -10057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -9. Solve -5*p - k = -2 + c, -5*k - 2 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744714137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1333001332 (base 4) to base 13.\nAnswer: -152aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1771371 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -33. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 11. Let t(g) = -g - 3. Let x = 0 - 3. Let r be t(x). Solve w*h - h + 9 = r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + 905. Calculate the remainder when o is divided by 100.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 88\/(-8))*4. Solve 0 = 11*n + 12 + v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/37 (b) 9 (c) -1\/7 (d) 2.5 (e) -4 (f) 0.053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 521 + 1036. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 = 2*o. What is the derivative of 119*m - 5 + 7*m**o - 119*m wrt m?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 2.2 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a + a - 4*a - 3*a**2 + 1. Let o(c) = -29*c - 6*c**2 + 62*c - 39*c - 2*c**3 - 6 + c**3. Let x be o(-5). Calculate p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 13*l - 4*n, -l - 2*n = 0. Solve 5*d + z + 2 = -z, l = -2*z - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-4)*4\/2. Suppose 0 = -3*c + 3*f - 12, 3*c + l = 2*f - 0. Let u = c + 3. Solve 4*h - 12 = -u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9932 + 0.5\nAnswer: 9932.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007364 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2153936*t**2 - 8*t**3 + 2153936*t**2.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222121111 - -2002?\nAnswer: 1222200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -572?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-2*j + 0*j + j) + (-6 + 6 - 49*j + 4*j)*(-12 + 10 - 4).\nAnswer: 268*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1754*b**4 + 1786*b**2 wrt b?\nAnswer: -42096*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -19, -55, -127, -247, -427, -679, -1015?\nAnswer: -1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*y = -5241882 - 4056795. List the prime factors of y.\nAnswer: 17, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4\/7 + 9*n**3\/7 + 6*n**2\/7 = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*y + 189 = 0, h - 281 = -y - 80. Let p be ((-2 + 0)\/4)\/((-361683)\/25830 + 14). Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 8. Let w be i(9). Calculate the greatest common divisor of 11 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11426.6 + 11427. Which is the third smallest value? (a) 42 (b) 0.1 (c) 1.2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -13 + 0 + 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3511634 and 5831.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (53 - 36) - -29.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529*i + 1145*i**2 + 529*i.\nAnswer: 1145*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2. Let c(a) = -2*a - 2. Let k(j) = 2*j - 2*j - 3*j**2 - j - 1 + 4*j**2. Let y(d) = c(d) - 2*k(d). Calculate f(y(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {v: 1, y: 2, k: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, 32, 101, 222, 407, 668, 1017, 1466?\n\"Answer: 2*u**3 + 8*u**2 - 9*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 28*m + 53. Let h be d(25). Suppose -h*n = -118*n - 240. Solve -5*b - 4*p + 11 = 0, -5*b + 5*p - n = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*q**4 - 55*q**3 - 13*q**2 - 26*q**4 + 3*q**2.\nAnswer: -5*q**2*(q + 1)*(9*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48135 + 337566\/7. Let i = j + -89. Which is the third biggest value? (a) 1 (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l + 2*l**2)*(9 + 16 - 3).\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 + 40*k**3 + 126*k**2 + 128*k + 43 = 0. Calculate k.\nAnswer: -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8274 = -18*r - 3*r. What are the prime factors of r?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -86, 1068.7, -1\/10?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*y**2 + 980*y**2 - 1 + 267*y**2 - 114*y**2 - 3*y in the form i*y**2 + w*y + j and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(200) + 2)**2 - sqrt(200)) + ((sqrt(200) + 2)*-6 - sqrt(200)) - ((3*(sqrt(200) + sqrt(200) + 0) - (-4 + 0 + sqrt(200))) + -3)**2.\nAnswer: -4814 - 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1752827*h**5 + 96*h**2 - 27577*h wrt h.\nAnswer: -105169620*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22128*y + 22037*y - 3185 = 0 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*q + 25 = -18, -5*q = 5*l + 60. Let x = -5 - l. Solve p - x = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-16\/7))\/(s\/((s*s**(-21))\/s*s*s)*s) assuming s is positive.\nAnswer: s**(-124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*v + 18. Let d be 4\/(-6) + (-22)\/v. What is the smallest value in d, 4, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 23*t - 55. Let f = 4775 + -4750. What is c(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 1066*c**3 - 3*c**2 - 1562*c**3 - c**2 + 2938*c**3.\nAnswer: 310*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 778.7661nm?\nAnswer: 0.0000000007787661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 5888.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3615 != 3615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8036971.74ns in weeks?\nAnswer: 0.00000001328864375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2 = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - 3.08. Let v = -44.2 - -44. What is the closest to o in 2\/5, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -361 + 396. Solve v*x - 39*x - 8 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88068493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.98. Let w = s - 3.98. Let n = -251 - -246. Put n, w, -2 in increasing order.\nAnswer: n, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 5:27 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*k + 34 = -3*n, 3*k + 69 = -3*n. Suppose 0*w + 3*w = -36. Let b = w - n. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 590*v**3 - 23*v + 34. Let c(h) = 197*h**3 - 8*h + 12. Determine -17*c(a) + 6*s(a).\nAnswer: 191*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -16*y + 33. Let r(g) = -3*g + 6. Let l(j) = 11*r(j) - 2*w(j). Let u(x) = 0*x - 5*x - 4*x. Determine u(l(k)).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*v**2 + 3 - 3 + 670*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 214505 - -1?\nAnswer: 214506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j - 8. Let y(g) be the second derivative of -g**4\/12 + 7*g**3\/6 - 9*g**2\/2 - 8*g. Let d(b) = -6*w(b) + 4*y(b). Let d(q) = 0. Calculate q.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 + 7*d**2 + 10*d - 4. Let h(n) = -10*n**3 - 24*n**2 - 35*n + 13. Let l(p) = 2*h(p) + 7*u(p). Let o be (-26)\/12 - 4\/(-24). Determine l(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1691.55 + 1694. What is k rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 118.66\nAnswer: 711.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4937, 19766, 44487, 79100, 123605, 178002, 242291?\nAnswer: 316472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o + 95 + 152 = -365 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = 14. Suppose -4*y + 488 + 364 = 0. Suppose -v*w - 2*b = 766, -b = -2*w - y - 164. What is w rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4760745 and 49005?\nAnswer: 128540115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) 2\/9 (c) -7 (d) 3\/8 (e) 257\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*s = c - 16, 5 = s. Let t(i) = i. Let a be t(4). What is the greatest common factor of a and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 18 - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4876 + 848*q - 4876.\nAnswer: 848*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561415.6 millennia to years.\nAnswer: 561415600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.1. Let s = 53 - 53. Suppose -2*h - 2*j - 2 = s, 3*h = 6*h - 5*j - 13. Which is the closest to h? (a) i (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 3)*(4*q - 10*q - 14*q) to the form z + w*q and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69707 is divided by 606.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/(44\/16))\/(1 - 3). Suppose 4*b - 56 = -2*d, -t*d + 5*b - 4*b = -76. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 3*k + 1, -g - 1 = -k. Suppose 123 + 211 = g*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -270 + 437?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1282 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + 0*i**3 - 13*i**3 + (1 + i**2 - 1)*(-i + 0*i + 0*i).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 374*d**2 + 10. Let l(p) = 125*p**2 + 3. Calculate -10*l(i) + 3*r(i).\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 14*a - 188. Determine i(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -10*j + 13*j. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*l + 6, 4*p + l = 5*l. Let x be 9401*p\/6 - (-3)\/(-6). Round x to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*s = 833, 5*s = -x + 4*s + 208. Does 39 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281079 to the power of 1\/2, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 3, 9, -1822, -1 in descending order.\nAnswer: 9, 3, -1, -5, -6, -1822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1312?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (16\/(-3))\/(20\/(-30)) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174417794.31 - 1703129.69. Let o = 176121635.99711 + c. Let w = o - 712. Round w to 4 dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3712*w**2 + 4269*w**2 + 0*w**3 - 7981*w**2 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c = -43*c - u + 643, -5*u = -4*c + 1321. Solve c*m = 316*m - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13971 - -18792. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 756 and 212 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7093*a**5*v**3 + a**5 + 19*a*v**3 - 17*a*v**2 + a*v + 2*a wrt a.\nAnswer: -141860*a**3*v**3 + 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from {z: 2, r: 1, i: 1, e: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 185.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - 32\/(-560)*-7*-45?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -2 (c) 0 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-27))\/(1\/3) - -12. Suppose 710 = o*q - 0*q. Find the first derivative of 71*p - 2 - 4*p**3 + 0 - q*p wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121800 rounded to the nearest 1000?\nAnswer: 122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2058))\/(-5*(sqrt(6) - sqrt(54)) + sqrt(6) + sqrt(6)) - ((sqrt(294)\/(sqrt(42)\/sqrt(6)))\/((sqrt(270)\/sqrt(5))\/sqrt(9)))**2.\nAnswer: -7 - 7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22886532169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -36\/625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -9.82\nAnswer: -137.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15051 + 341654?\nAnswer: 360035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 14*t - 49 = 0. Solve 1 = 8*d - t*d + 3*r, 0 = 4*d - 5*r - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.06 + -0.86. Let v = -11 + q. Let t = 104.8 - 105. Which is the nearest to t? (a) 0.06 (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/(-16200)*-5155 - 24\/15 and 19\/2032.\nAnswer: 18288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -315 and -0.75?\nAnswer: 236.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55253115 + -4?\nAnswer: 55253111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*n = 0, w - 6 = 5*n + 16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3837*s = 3808*s + 116. Sort s, 30, 2 in decreasing order.\nAnswer: 30, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-36) + ((-105)\/18)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3292\/20 - 2\/(-5). What is the greatest common factor of c and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13600 (base 11) to base 10.\nAnswer: -19360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1413\nAnswer: -4\/1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2)*(-3 + (-70)\/(-25)). What is the smallest value in 0, 3, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 9360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/3 (b) 0.02856 (c) -244 (d) -1\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 23*g. Let c(t) = -t - 11*t + 9*t. Give c(w(a)).\nAnswer: -69*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3972105*d**3 - d**2 + 12418527?\nAnswer: 11916315*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - f**2 + f**2)*(5 - 4 - 3) + 12*f**3 - 34432 - 97*f + 34432 + 6*f**3.\nAnswer: 16*f**3 - 97*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 7*q - 7. Give m(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5900366?\nAnswer: 2, 2950183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2173353 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 427305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 531 and 318.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (4 - 2) + 5. Suppose x + d = 2*d + c, -15 = 5*d. Solve 0 = s - 1 - x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, n: 5, h: 4}. Give prob of picking 2 h and 1 n.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 553867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1821 (base 11) to base 4.\nAnswer: 210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 5, h: 8}. Give prob of picking 2 f, 1 h, and 1 q.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -143441?\nAnswer: 143440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21598 and -0.01.\nAnswer: 215.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1054 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 8.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 13*l - 3. Let p be x(-11). Suppose 4*i - p = -3. Suppose 2*c - 2*a = 3 + 1, c - 12 = -i*a. What is the lowest common multiple of 2 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8126 - 13626. What is d rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 times 28?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1349000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -2\/5*s**5 + 0*s + 2\/3*s**3 - 6 - 1\/6*s**6 + 1\/4*s**4 + 0*s**2. Factor p(r).\nAnswer: -r**2*(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(228\/(-209)) + 3\/(-2). Solve x*i = k, 3*i + 14 = -4*k - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6092 * 4029\nAnswer: 24544668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3)\/((z\/(z*z**(-12)\/z))\/z))\/((z\/(z*z*z*z**(-10))*z)\/(z\/z**(-11))))**(5\/3) assuming z is positive.\nAnswer: z**(-130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6810, 13594, 20388, 27198, 34030, 40890, 47784?\n\"Answer: n**3 - n**2 + 6780*n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c + 12. Suppose 6*g - c*g - 3 = 0. Solve g + 1 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 10, -39, 5.\nAnswer: -39, -4, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8.6. Let b = 1 + l. Let y = 13.24 + -13.54. What is the biggest value in -2\/21, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - b - 3*b - 8 = 0, -2*b = -r + 14. Let m be 5\/(r\/2 + -3). Suppose 0 = -o - 4*o. Put o, m, 4 in ascending order.\nAnswer: m, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110071*t**6 + 13*t**2 + 138*t - 1.\nAnswer: -13208520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242115541 (base 6) in base 4?\nAnswer: 313323023311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - o + 11. Determine j(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1523119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 12*s**2 + 18. What is the smallest common multiple of m(-12) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141067318 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - -5052?\nAnswer: 503a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**16\/t)**(-17)*(t*t**(4\/15)\/t)\/t**(2\/11))**39 assuming t is positive.\nAnswer: t**(-583258\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j*z + 2*j - 199*z - 372 with respect to z.\nAnswer: -3*j - 199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 0 + 2*o**2 + o - o**2 + 2 - 8. Let a be v(0). What is a rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Suppose 0 = 4*o - o + 3, y*o = 5*t - 22. Solve -l - z = -7, 2*l - 3*l = -t*z + 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 6:04 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/3 + s**2\/2 + 4*s - 898. Let d(j) = 2*j**2 - j - 7 + 0*j**2 + 0*j. Give 3*d(y) + 5*l(y).\nAnswer: y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/3 + 3)*15. Suppose g - 8 = -o + 3*o, m*o + 13 = -g. Suppose -g*t = 10, -160 = -2*c - 5*t + t. What is the highest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -5 - -8)\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -77*s - 4*s**2 - 77*s + 5*s**2 + 146*s. Determine j(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.9 < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/120 + 17*u**5\/30 + 19*u**4\/3 - 186*u**2 - u. Factor w(m).\nAnswer: -m*(m - 38)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 3*m - 2174 - 462. Calculate the remainder when m is divided by 99.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 20*i = 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 of a week in minutes?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -3*w**8\/8 + 7*w**4\/6 + 17*w. What is the third derivative of v(s) wrt s?\nAnswer: -2520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -x - 3*x. Let d be 4\/x - 24\/14. Let i be -5 + (6 - (-6)\/(-2)). Does d = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 13 - 56 - 668*n + 670*n - 2*n**2 to the form k*n + d*n**2 + j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -857598?\nAnswer: 4287990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15243 and 293417588.\nAnswer: 5081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -920, 0, -1, 45, 3, 4, -5.\nAnswer: -920, -5, -1, 0, 3, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = 13*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 13) to base 16.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538825 to the power of 1\/2, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(116*r - 116*r - 111*r)*(38 - 6 + 0)*(-3*r - r + 3*r).\nAnswer: -3552*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4.8. Let u = 0.5 - l. Let y = -1\/51 + 109\/357. What is the nearest to y in -0.1, u, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:02 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -42*o**2 - 11*o - 11. Let v(x) = -21*x**2 - 6*x - 6. Let q(w) = 11*v(w) - 6*y(w). Let i(h) = -2*h**2. What is i(q(m))?\nAnswer: -882*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -941 - 2*j - 995 - 994 + 3919 + 3*j - 989.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*y - 304. Let j = -430 + 645. Suppose -2*g = 3*a - 313, g + 3*a + 51 - j = 0. Calculate the remainder when g is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 8:33 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/23 or 1\/16?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + b**2 + 4. Let o be a(0). Let t be (-14)\/o + (0 - -3). Let d = 273 - 1093\/4. What is the closest to t in 1\/6, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278*i**2*n**2*x**3 - 1613502*i**2*x**3 - 47*i*n*x**3 - 2*i*x**2 - 21*i - 2*n**2*x**2 + 17*x - 163 wrt i.\nAnswer: 556*n**2*x**3 - 3227004*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5948676*3\nAnswer: -17846028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - -1. Let y = 1 - m. Which is the biggest value? (a) 0.5 (b) y (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y + 7. Let t(d) = 5*d + 3. Let k(o) = -5*t(o) + 2*u(o). Let h(b) = 9*b + 12. Determine 3*h(x) + 36*k(x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/(-75) - 1*4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-21))\/(25\/525)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*t + 20 = 3*t, 0 = -4*t. Suppose -5*r = 4*s - 20, 0 = 2*s - 0*s - l*r - 10. Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 15*h**2 - 17*h - 8. Let b be w(-9). Let r = -236 - b. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 10\/37, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(-2\/7)*b)))\/(b*b**(6\/11))*(b*b*b**(1\/2))**(2\/113) assuming b is positive.\nAnswer: b**(-6847\/8701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) - 290\/(-14). Let m = -1753 + 1756. Calculate the greatest common divisor of m and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 + -74. Suppose n = 3*r - 44. Calculate the remainder when r is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, u: 1, b: 1, o: 4}. What is prob of sequence poo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26500 and 10?\nAnswer: 26500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 19. Let u = t - 14. Is u at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + -83. What is the closest to -1 in -2, -17, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + r - 1. Let o(u) = 2*u**2 - 11*u + 3. Let i(a) = n(a) - o(a). Let h be i(12). What is the least common multiple of 78\/8 - 1\/h and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 724740 - 321817. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2847639030.\nAnswer: 2, 3, 5, 733, 129497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55760000 rounded to the nearest one million?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.10391 millimeters in centimeters?\nAnswer: 0.310391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 14 + 5*m**3 - 9.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 6:33 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 13*t**4\/24 + t**3\/6 + 3*t**2. Is s(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6030 >= 81003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*x + 1, -4*i - 4*x - x = 9. Suppose 90 = a + 4*b, -a + i*b = 2*a - 334. What are the prime factors of a?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2. Let f(i) = -31*i + 8. Let z(a) = -f(a) + 3*o(a). Let x(p) = -p**2. What is z(x(j))?\nAnswer: -31*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**3 - 186172*d + 186172*d.\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 627\/32 + -2 - 2. Let s = x - 6689\/352. Calculate the common denominator of 53\/10 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -71, -69, -77, -101, -147?\n\"Answer: -b**3 + b**2 + 6*b - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1036852367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((288\/640*20)\/45)\/((-1)\/50)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 6:36 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 + -127. Let t(m) = -7*m - 5. Let w be t(7). Let k = w - -812\/15. Which is the closest to v? (a) k (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/15 + 5864*m**2\/15 - 4613066*m\/15 + 150881356\/5.\nAnswer: -2*(m - 1409)**2*(m - 114)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2\/5, -639, 2.1, 22, -1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -4*p**3\/3 + 340*p**2 - 28900*p - 80. Factor u(d).\nAnswer: -4*(d - 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2280520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 173469, 177693, 181915, 186135, 190353, 194569, 198783?\n\"Answer: -u**2 + 4227*u + 169243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, e: 1, w: 4}. What is prob of picking 2 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(-12))*u*u\/u**(6\/11))\/(u**(-19)\/(u*u\/u**11)))**(-1\/27) assuming u is positive.\nAnswer: u**(-5\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 141*z - 283*z + 148*z to f + k*z and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2379 + 95 - 1088)*(2*v**5 + 2*v**5 - 5*v**5).\nAnswer: 3372*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1579109425 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 16*z**2 - 20*z - 60. Suppose 5*f - 7 = -2*f. Let s(j) = -j**2 + j + 3. Let q(i) = f*v(i) + 20*s(i). Let x(u) = 12*u. Calculate q(x(m)).\nAnswer: -576*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/4305 and -50\/9.\nAnswer: 12915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 139 = 2*y, -3*y + 205 = -3*f - 2*f. What is the highest common factor of 28 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 17 = -5*q - 117, 2*h + 3*q = 20 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274 - -269. Let a = -313 - -318. What is the closest to -0.1 in p, a, -72?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-1 + sqrt(1377))*-2 - (5 + 1*sqrt(1377))) - (3 + 0 + sqrt(1377) + 2 + 3 + sqrt(1377)*-1))**2.\nAnswer: 810*sqrt(17) + 12618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 12:21 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152167.\nAnswer: 17, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 2*o**2 - 5*o - 2. Let n be h(-3). Solve -2*g + n*z = 18, 8 = 2*g + 5*z - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 284 - 284.5. What is the biggest value in -5, n, -677?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4432.677s to nanoseconds.\nAnswer: 4432677000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -917058 by 305686.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3376\/(-832) - -4)*-3*8\/(-3)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggpgggggpg. What is prob of picking 1 g and 1 p?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001088860858 to seven decimal places.\nAnswer: -0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -33, -44, -71, -120?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 76. What is the units digit of (l\/9)\/2*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 - 156. Let t = -679 - -397. What is the tens digit of t*(-3 + 2)\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 6*x - 5. Let q be d(-7). Let l be ((-18)\/12)\/(12\/q). Let n = -0.24 + 7.24. Which is the second biggest value? (a) n (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.53844 + -22.8804409. Let p = -0.342 - n. What is p rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*d - 204, -69 = d + x + 32. Is d less than or equal to -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 5*v**4\/6 - 5*v**3\/6 + 9*v**2. Is b(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-6))\/((-2)\/(-3)). What is the hundreds digit of ((-8)\/5)\/m + 1784\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -177040000 to the nearest 1000000.\nAnswer: -177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 141 + -360200?\nAnswer: -360026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - q**2 + 1. Suppose 2 + 2 = d. Let y(j) = 2*j**4 - 4*j**3 + 17*j**2 - 4. Let g(i) = d*a(i) + y(i). Find the third derivative of g(b) wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 189\/(-196) - (-20)\/(-70). Let g = -2.2 - 0.8. Let v = g + 2.7. Which is greater: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2924\/(-16) - (-1)\/(-4). Let y = c + 596. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380 and 46892.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, 1, 5, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-2 - -6) - -13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 181 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 783636 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*z - 3786, z + 11083 = 4*m - 4078. List the prime factors of m.\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 18618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32160 (base 8) to base 3.\nAnswer: -200102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/82 and 41\/234.\nAnswer: 9594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(275)*2 + -3)**2 + 2)*-4.\nAnswer: -4664 + 640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25101121*g**4 - 36014502*g**2 wrt g.\nAnswer: -602426904*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14674179 and 663?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 146838295 to the nearest one hundred thousand.\nAnswer: 146800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27494, 54991, 82488, 109985, 137482, 164979?\nAnswer: 192476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183458409 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001000100 (base 2) to base 9.\nAnswer: 7104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 5*m - 10. Let n be l(7). Suppose 4*c + 2*c = 18. Suppose -2*a - 8 = 0, -2*j - c*a = j. Solve -2*z = j + n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 80. Which is the closest to -4? (a) n (b) 3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 5*c**2 - 7*c + 8. Let w be g(6). Suppose 0 = -w*i + 2*o - 0*o + 10, -4*o + 25 = 5*i. Solve 2*b = 7*b - i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8 + 1410\/126)*(-9)\/(-6) and -133\/192.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 358550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 15*h**2 + 0*h + 0 - 5\/3*h**3 - 1\/12*h**4. Give v(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*2*sqrt(143) + -5*(sqrt(143)*-1 + sqrt(143)))\/(sqrt(275) + (sqrt(275) - (-2*sqrt(275) - sqrt(275))*2)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 2*g**2 + 5*g - 7. Let c be d(3). Which is smaller: 35\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 5. Let y(k) = 11 - 6*k - k + 3*k. Suppose -2*l = -3*l - 7. Give l*h(c) + 3*y(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32133213 (base 4) to base 10.\nAnswer: 59367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**2 + 5429*s - 5429*s. Let z(o) = 5*o + 3. What is z(u(x))?\nAnswer: -35*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 99 = 65. Let l = -38 - k. Suppose l*q = -4*q + 11711. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3313 + 19805\/6. Calculate the common denominator of g and -51\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j**(1\/10)\/j)\/j)\/j)\/j**(-2\/11))\/(j**0)**(29\/4))\/((j**(-1)\/(j**(-2)\/j))\/(j**(-1)*j)**(-4\/9)) assuming j is positive.\nAnswer: j**(-519\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4956951.5 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7357409 - 758421 = -a + 4*i, 0 = -4*i - 12. Round a to the nearest one hundred thousand.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 48 (c) -1 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddggrd. Give prob of picking 1 g, 1 d, and 1 r.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/5 + 26*d**4 + 604*d**3\/5 - 2602*d**2\/5 + 2867*d\/5 - 200 = 0.\nAnswer: -125, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101100000000011100101101001?\nAnswer: 101100000000011100101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544524*j**3 + 272258*j**3 + 272241*j**3.\nAnswer: -25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65770 and 164425?\nAnswer: 328850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -144*z + 661 + 1030*z + 666 - 363 wrt z?\nAnswer: 886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529361 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u - 51. Suppose 0 = -6*b + 14*b + 96. Let a be q(b). Let k(v) = v**3 - 3*v + 2. Calculate k(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 + 1 + 24*m in the form b + d*m and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2\/11, -4\/7, -13 in ascending order.\nAnswer: -13, -4\/7, 2\/11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5))\/((-2)\/10). Suppose 2*d + 3*o + 48 = 0, 0 = 4*d - 7*o + 2*o + 140. Let t = 42 + d. Solve m + v*m - t = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3771741 to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -9\/1939 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -256? (a) -1 (b) -4 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-14))\/(((-54)\/(-56))\/(9\/(-24))). Which is the fourth biggest value? (a) -1 (b) -2 (c) -4 (d) -6\/5 (e) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 588*z**2. Let x(s) = -16870*s. What is l(x(d))?\nAnswer: 167342977200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6007 is divided by 2000?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a week in minutes?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4780 divided by 66\nAnswer: -2390\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368*s + 24 = 372*s. Find the third derivative of -4*u**4 + s*u**4 - 10*u**4 - u + 38*u**2 wrt u.\nAnswer: -192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*l**2 + 6064\/9*l - 4596512\/9 = 0 for l.\nAnswer: 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1268204 and 27916?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.57693kg to nanograms.\nAnswer: 54576930000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**3 + 2*n**2 + 5*n + 5. Is l(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let m be (-8)\/(-32) - 1\/4. Let n(z) be the second derivative of 3*z - 1\/2*z**3 + 0 + m*z**2. What is n(l(c))?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -0.5 (b) 1\/4 (c) 2 (d) -29 (e) 444\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*z**3 - 14\/9*z - 2\/3 - 10\/9*z**2 = 0. What is z?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**2 - m**2)*(-4 - 19 + 1)*(1 + 1 - 1).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**2 - 52488*i - 52485 = 0.\nAnswer: -17495, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((3*(-1*sqrt(143) - sqrt(143) - sqrt(143)))\/((sqrt(88)*-1)\/sqrt(8)) - (sqrt(13) + sqrt(13) + -1 + sqrt(13) + 2 + 2 + sqrt(832))))**2.\nAnswer: 300*sqrt(13) + 1525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -0.015.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3256 + 5.\nAnswer: 3261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -36. Let u(k) be the first derivative of -2*k + 0*k**2 + 0*k**4 + 1\/5*k**t + 13 + 0*k**3. Differentiate u(j) with respect to j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -3*m - 60. Let s(z) = -z**3 + 2*z**2 + z + 2. Let a be s(-2). Suppose 2*h = 3*r + 8, -3*h = -7*h - r + a. Solve 8*w - h*w - m = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 272\/80 + -2 + (-24)\/(-15). Suppose i + h*i = -0*i. Which is the third biggest value? (a) i (b) -2 (c) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 958507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**5 + 23135*m**4 - 3498090*m**3 + 51517280*m**2 - 200126080*m = 0 for m.\nAnswer: -4774, 0, 8, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 30831204.\nAnswer: 30831203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:21 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-10))\/(16\/1200*15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 minus 302420?\nAnswer: -302616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 - (-4 - -6) - (32 + -1)) + -9?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((80\/15)\/8)\/(470\/(-15)).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 3*k + 27000000 = 0. Round k to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40175 - 40179. Let h(s) be the second derivative of -s**5\/20 - s**4\/3 - s**3\/6 + 3*s**2\/2 - s. What is h(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3 - 3*z + 6*z**2 - z**2 - 2*z**2. Suppose -4*h = -4*f + 4, -2*f + 0*f + 3*h = -1. What is k(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/14, -1\/2, -0.02, 376, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/(t**(-6)*t))\/(t**(8\/7)*t**(1\/16)) assuming t is positive.\nAnswer: t**(-471\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7039, 7054, 7083, 7132, 7207?\n\"Answer: p**3 + p**2 + 5*p + 7032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/15)\/(6\/(-15))*-3. Solve 0 = -3*n + f + 16, -24 = -2*n - 0*f + v*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-11 - ((-6 - 11) + 22)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 49\/10*a**5 + 0*a**2 - 58\/3*a**3 + 0 + 0*a**4 + 46*a. What is the second derivative of k(o) wrt o?\nAnswer: 588*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*c + 34. Let f = 4 - c. What is the greatest common divisor of 147 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = 5*z + n, 0 = -4*z + 2*n + 4. Let j = 12 + z. Let b = 93 + j. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.00111.\nAnswer: -0.000444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + w**2 + 0*w**3 + w**4 + w**4 - 1 - 2*w**3 to t*w + o*w**4 + v*w**3 + u + m*w**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + 9 + (-22 - 8) + -4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 - -98. Let f(d) be the first derivative of d - 4*d - 2*d**2 + d**2 + 1. Determine f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11664 and 107964.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9202 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**3 - p**2 - p. Let b(k) = 215*k + k**2 - 109*k - 105*k. Give -2*b(g) - 2*r(g).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 281838 and 2727216.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-2) + (-8 - -7). Suppose m - 2 = -4, -5*g = -5*m - 20. Let k(x) = g*x - 7 + 0*x**3 - x**3 - 3*x**2 + 2. Determine k(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -18*v + 20. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*((h\/(h\/((h*h*h\/(h**(-2\/5)*h)*h)\/h)))\/h)\/h)**(-2\/11)\/((h\/h**0)\/h)**(17\/2))**(-40))**48 assuming h is positive.\nAnswer: h**(5376\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 79*n**2 - 5*n - 5. Let c be z(-5). What are the prime factors of 2*(-2)\/(-8) - c\/(-38)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfpl when four letters picked without replacement from fpppldpzpdd?\nAnswer: 1\/1584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1184 - 1167.21. Let m = 17 - f. Round m to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - -76 - (15 + (-9 + 5 - -7) - 7).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 14, z: 1}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9*j + 533. Let a be c(59). Let b(s) = s**3 - 10*s**2 + 2*s - 11. Let g be b(10). Sort g, -2, 3, a.\nAnswer: -2, a, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0536 and 0.0397?\nAnswer: 0.00212792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56649 or -57140?\nAnswer: -56649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204558029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -7*t - 1680. Let k = 552 + -543. What is the smallest common multiple of k and (0 + -5)*t\/25?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-108)\/(-56))\/(1\/(-4)). Which is the nearest to h? (a) 1 (b) 3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 17*k**5\/10 - 13*k**2 + 5*k. Let s(w) = 5*w. What is s(p(h))?\nAnswer: 510*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 117\/(-12) + (-5)\/20. Let j be (79\/(-2))\/(5\/(-20)). What is the tens digit of j\/12 - f\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -326 greater than or equal to -649\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26079965*q**2*v**3 + 127*q**2*v - q**2 + 49724*v**2 wrt v.\nAnswer: 156479790*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18, -6, 4 in descending order.\nAnswer: 18, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*j - 242*j + 87*j + 8*j**2 + 2*j**3.\nAnswer: 2*j**3 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 5421\/529?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) 0.1 (c) -5 (d) -0.4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s**(-1\/13)*s)\/((s\/s**(-2\/3))\/s**(-2)) assuming s is positive.\nAnswer: s**(-185\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -304*u**2 + 4*u**4 + 23*u**5 + 6463*u - 6463*u wrt u?\nAnswer: 1380*u**2 + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 734900 rounded to the nearest ten thousand?\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/8)\/((-56)\/(-6)))\/1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouu when three letters picked without replacement from nouumo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -133?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 times 1894451\nAnswer: -435723.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 160 + 175*d**2 - 65*d + 158 - 318. Let z(s) = -8*s**2 + 3*s. Calculate -6*r(k) - 130*z(k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 47. Suppose -703*l + 18081 = -114266 - 34967. What is the highest common factor of o and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12679\/40 - 2553\/8. Let a = 1263\/488 - 13\/61. Calculate the common denominator of r and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 11 = -17*m. What are the prime factors of ((-42)\/(-49))\/(m\/1141)?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*y = -0*y, -2*m + 12 = -3*y + 8*y for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37941700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1377, -5\/6, -1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*i + 27*i - f - 25 - 12, 3 = -3*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -917*a**6 + 937*a**2 wrt a?\nAnswer: -110040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -3287554.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 2*q + q)*((-3*q + 3*q + 3*q**3)*(3*q - 14*q + q) + 0*q**4 + 4*q**4 - 2*q**4).\nAnswer: 56*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -961985\/8 + 119682. Let h = 565 + x. Calculate the common denominator of h and 798\/324*-3 + -1*1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8205*v - 6146*v + 3152*v - 16044*v - 1264*v + 0 + v + 0 + 0*v + 3*v - v + (1 + 2 - 5)*(2*v + v - 5*v) + 3 - v - 3.\nAnswer: -28501*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.49? (a) -1 (b) -4 (c) -2\/13 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 34 = -3*j. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 13. Let d be v(-4). Suppose -3*o + t = -2, -2*o + 3*o = 4*t + 8. Let u be 2\/8 + 68\/(-16). Sort d, o, u in decreasing order.\nAnswer: o, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -112.11951 to one dp.\nAnswer: -112.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100102200 (base 3) in base 5?\nAnswer: 210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/65397 and -5\/152593.\nAnswer: 457779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-11))\/(r*r\/(r\/(r*r**22))*r*r)*(r**(3\/5)*r)**21)**(-1\/16) assuming r is positive.\nAnswer: r**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 998*y + 68 = -1002*y, v = -4*y + 62. Solve -25*h + v*h + 11 = -4*t, 5*t + 15 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002201111 + -1200?\nAnswer: -1002210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + 7*u**2 + 4*u - 3. Let h be d(4). Let n(a) = -4*a**3 + 4*a**2 - a. Let t be n(h). Suppose -t = -5*o + 148. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 24*u - 14. Calculate z(-20).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5 = i. Suppose 0 = h + 1 - 5. Let j(q) = -q**3 + 5*q**2 - 6*q + 6. Let o be j(h). Sort -4, i, o.\nAnswer: i, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 282\/8967569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u\/(((u*u*u\/(u\/(u*u**(1\/3)*u)))\/u)\/u))*u)*u*u*u)*u**(-20\/3))\/(u**(-17)*u**(-15)\/u) assuming u is positive.\nAnswer: u**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 249\/21 + 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.8974m in micrometers?\nAnswer: 39897400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1113347\nAnswer: -222669.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8983*f**3*o*x**3 + 1592*f**3*o*x - 2*f**3*x**2 wrt x.\nAnswer: 53898*f**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 21*o - 87. Let k be w(-6). Suppose 3*n - 2*g - 1 = 0, k*n + 3*g = 4*g + 2. Solve 2*m - 5 = -n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 14. Let i = 1 - 0.5. What is the third biggest value in 5, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 88?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyzy when four letters picked without replacement from xxzyjyxjyyyjzjx.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 26)\/(14\/42*-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6468171 or 6468168?\nAnswer: 6468168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 + 6)) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*l - 2 + 1, -2*l + 6 = -4*d. Let i = 2.03 + -0.03. Let p = -2 + i. Which is the nearest to -1? (a) 0.2 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, -160 in descending order.\nAnswer: 4, -11, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 8, -0.86, -4, 2\/15 in descending order.\nAnswer: 8, 2\/15, -0.1, -0.86, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/80 of a millennium?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 2*s - s - 3*s + s + s + (-2*s + s - s)*(-3 + 1 + 0) - s + 3*s - s - 2*s + 5*s - s + 1 - 1 - s)*(-s + 5*s - 3*s)*(-8*s**2 + 0*s**2 + s**2).\nAnswer: -42*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**4\/6 + 6*l**3 - 3*l**2 + 17. Let g be q(-9). Let d be -1 - (22\/(-18))\/1. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213 (base 7) in base 4?\nAnswer: -13003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -2) + 9 + -7. Solve 2*c + 4*u + 8 = 0, -y*u = -3*c - u + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/4 - 23*h**3\/2 + 180*h**2 + 26*h - 38. Let b(s) = 0. What is s?\nAnswer: 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 11 - (-91 + 45 - -41).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:38 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.822707cm in meters?\nAnswer: 0.00822707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**2)**(-1\/35))**25\/(((w*w**4)\/w*w*w)\/w**(-4\/3)*w**(1\/5)\/(((w**(-4)*w*w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-1136\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -53, 5, 1.1.\nAnswer: -53, -3, 1.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:43 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 12:17 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let d(f) = -6*f - 51. Determine 4*c(s) - d(s).\nAnswer: 2*s + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9902531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1323191 = 455*u - 881739. List the prime factors of u.\nAnswer: 2, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(468) + sqrt(468) + -2 + sqrt(468) + -3 + 3 - (3 + (sqrt(468) - (-2 + sqrt(468) + sqrt(468))) + -1))**2.\nAnswer: -1440*sqrt(13) + 37620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8782 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110685*f**5 + 55344*f**5 - 3*f**4 - 36*f**2 + 8*f + 55342*f**5 + 100*f**3 wrt f.\nAnswer: 60*f**2 - 72*f + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8897 and 6027.\nAnswer: 186837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let y be ((-12)\/10)\/((-6)\/(-30)). Let h(i) = -i**2 - 5*i + 4. Let x(r) = y*p(r) - h(r). What is the units digit of x(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - b - 172 + 34, -4*u + 184 = 5*b. Suppose 0 = -u*m + 34*m + 10224. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-12)*6 - 6. Which is the third biggest value? (a) 3\/5 (b) -3\/19 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6253, 12505, 18757?\n\"Answer: 6252*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4169616258 + -4169616303.000000172. Let d = 710 - 755. Let r = j - d. Round r to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 624.16.\nAnswer: 625.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 26 - 6. Let n = -257\/3 + 229\/3. Let y = n - -9. What is the closest to y in -3, w, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 8, -27, -96, -211?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 6 = -2*h, -25*h = -2*h + 8*h - 4*t - 66 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43143247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.178 and -76.\nAnswer: -80.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - 3*(sqrt(85) + -1*sqrt(85) + sqrt(85)) - sqrt(85)) + 6*(sqrt(85) - sqrt(85)*-1))\/((sqrt(495)*6)\/sqrt(11))*5)**2.\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -18. Let s be 1*i\/(-6)*-3. Suppose -2*x - 8500 = -s*p + 3*x, -2*p + 3400 = -x. What is p rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466946 is divided by 10649?\nAnswer: 9039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 1. Let t be n(-1). Let m(u) = -t*u - 16*u**2 - 2*u - 12 + u**3 + 26*u**2. Let s be m(-10). Solve -3*a - 5*l = 12 + s, -25 = 2*a + 3*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(47651 - 3)*-1. Let m = d + -410939\/297800. Find the common denominator of m and -65\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -8*z**3 - 3*z**2 - 4*z - 3. What are the prime factors of p(-2)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(128)*2 + sqrt(128) + (sqrt(200) + 0 - sqrt(200) - sqrt(200))*6)**2.\nAnswer: -144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + (sqrt(432) - (sqrt(432) + ((sqrt(432) + 0)*-3)**2 + sqrt(432))) + 1 + (sqrt(108)*1)**2*-5*3.\nAnswer: -5507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 177, 346, 511, 672, 829?\n\"Answer: -2*s**2 + 175*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from gggtotooototgt.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.91? (a) 87 (b) 3 (c) 0.03 (d) 0.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 - -3. Let n be 20\/9 + 0 + -2. Let i = -9405\/7 + 1344. Which is the nearest to f? (a) i (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2697301 to the nearest one thousand.\nAnswer: 2697000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/8*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**2 + 271*v = 0?\nAnswer: 0, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-10) + (-666)\/(-10). Let y = -1273\/20 + d. Let n = 4\/9 + -125\/99. What is the common denominator of y and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 4:56 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1365238 divided by -1\nAnswer: 1365238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 6. Let z(c) = c. Let i(m) = m - 17. Let n(s) = i(s) + 5*z(s). Calculate 3*n(x) - 8*w(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143201\/33 + -4339. Find the common denominator of 23\/81 and w.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 6*p + 2*p)*(-3 - 3 + 8)*(-3*p**2 + 3*p**2 - 6*p**2) to the form o*p**3 + z*p**2 + s*p + n and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.03462 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-71*s**2 + 35*s**3 + 71*s**2) + s**2 + 11 - 2 - 3*s - s**3 - 8.\nAnswer: -36*s**3 + s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 10. Let q be m(-5). Solve 15 = q*z - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -149. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 14*h - 21*h = 0. Solve 88*r - 81*r - 7 = h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*q**2 - 4*q**4 + 0*q**4 - 13*q**2 wrt q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3 - 3*x**2\/2 - 22. Solve s(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170 + 153. Let o(q) = 2*q**2 - 8*q + 73. Is o(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-174)\/(-336) - 135\/360. Which is the biggest value? (a) -8 (b) 237 (c) k (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 262*k**2 - 1323*k + 3730. What is n(-267)?\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*o - o + 13, o = -2*n + 2. Let t(i) = -i**3 + i**2 + 2*i - 7. Let u(s) = s**2 + s - 7. Let k(v) = -3*t(v) + 2*u(v). Is k(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5 - 558*x**4 + 15580*x**3 - 86124*x**2 - 221210*x - 118950 = 0.\nAnswer: -305, -1, 13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38720*o*t**2*v + 5*o*t*v**2 + 111*o*t*v + 11*o*t - o*v**2 - o + 11*t**2*v**2 + 2*t wrt t?\nAnswer: -77440*o*v + 22*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-6 + 3 + 0). Let p(j) = 3*j - 5*j - f*j - 5*j. Calculate p(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313013 (base 4) in base 2?\nAnswer: -110111000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13762 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < -59\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:27 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -75*v - 7. Let w be h(7). Let d = -1398 + 11205\/8. Find the common denominator of (-2)\/(-3) + w\/24 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -51*t + 38. Let c be q(5). Let y = -195 - c. Solve 20 + 5 = 5*l, 3*n + 2*l = y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 - -161.2. Which is the biggest value? (a) -5 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 24 = 4*o + 26, 4*o = k - 58. Calculate the common denominator of 3\/2*87\/(-54) and (o\/(-12))\/(24\/(-45)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c0687 (base 13) to base 9.\nAnswer: 2661566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230\/83 smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10 - 18 + 11 + 3*z. Let q(x) = 9*x + 10. What is 7*p(l) - 2*q(l)?\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164608 or 164609?\nAnswer: 164608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 0.06, 41.8, -134.6 in descending order.\nAnswer: 41.8, 0.06, -1\/10, -134.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**0)**43\/(t**6*t\/((((t\/t**(-1\/7)*t)\/t)\/t*t)\/t*t)*t)*(t**(-2)*t)\/(t*t**(-4))*(t\/(t\/t**1))**(-2\/11) assuming t is positive.\nAnswer: t**(2923\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.8 + 5. Let k = 16 + v. Let r = k - 2.7. Do 2\/3 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 9*p - 5. Let d be j(-4). Suppose 0 = 3*w + d, -w = -10*q + 5*q + 55. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 59*z**2. Let i(p) = 10*p**2 - 4*p + 16. Let j(u) = -8*u**2 + 3*u - 12. Let c(o) = -3*i(o) - 4*j(o). Calculate c(f(g)).\nAnswer: 6962*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azssa. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 1555*w - 135 = 7*h - 1560*w, -5*h = 2*w + 75 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by (99\/(-22) + 5)\/((-2)\/(-40)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.27 - -1.17. Let f = 8.1 + i. Which is the closest to 1? (a) -5 (b) -0.8 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 3*r - 62. Let b be p(-21). Suppose 13*c - 1174 + b = 0. What is the highest common factor of c and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -13\/14, -0.2, 0, 5?\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -298 + 590. Suppose 4*h + 3*j - m = 2*h, 0 = -3*h - j + 452. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 184036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-8)*(0 - -80). What is k rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 8. Suppose -o + 4*i = -0*i + 55, -5*o + 2*i = 257. Calculate the smallest common multiple of v and o\/(-7) + (-4)\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1516576*j - 3033153*j - 5 + 0 + 1516576*j.\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - (-266)\/(-190)*25?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666227320.\nAnswer: 2, 5, 11, 1514153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38123\/2 - 19081. Let s(x) = x**3 - 4*x**2 - 6*x + 5. Let y be s(4). Which is greater: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1010?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388194697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -23?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/16)\/y*y*y**(-2\/3)*(y**(1\/5)\/y)**(-3\/31) assuming y is positive.\nAnswer: y**(-4849\/7440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1450 is divided by 175.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(13*s + 85*s - 3*s)*(-1 + 1 + 3).\nAnswer: -570*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72529931 to the nearest integer?\nAnswer: 8516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8920, -2, 5, 29, 9 in decreasing order.\nAnswer: 8920, 29, 9, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26087.106 - 25985. What is h rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 5. Let a(d) = -55 + 104 - 50. Determine 5*a(n) - j(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:35 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4101 and 96.\nAnswer: 131232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1018104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39)\/26 - (-861)\/2. Suppose 53*o - 20*o = c. Calculate the remainder when 116 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 40 = 2*a, 4*z + 34 + 34 = 4*a. Suppose -175 + a = -10*r. Suppose -3*s - s = -r. Calculate the highest common factor of s and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + 3213?\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in micrograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 0*u + 5*u**2 + 1 + 0 - 7 + 2*u. What is b(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 24*s - 4. Let z(v) be the third derivative of 0 - 1\/6*v**3 + 5\/24*v**4 + v**2 + 0*v. Give 3*p(i) - 14*z(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2660)\/(-1596)*(-6)\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-14)*(-4)\/24.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/9 - (24 + 0). Let y be (-1 - 32) + (w - -21). Let t = y + 37. Solve 0 = t*j - 8*j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 7*k = 4*r + 32, 5*k + 34 = -2*r. Let z be (2 + (-25)\/(-10))\/(k\/(-8)). Solve 5*g = 15, 3*p - g - 4*g = -z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6*d - 4 = 0. List the prime factors of ((-246)\/24)\/((-1)\/d).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 57834.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -12*t - 3. Let i(d) = 25*d + 7. Let n(x) = 6*i(x) + 13*p(x). What is n(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1236, 1019, 428, -723, -2620?\nAnswer: -5449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 650860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 21301002221?\nAnswer: -21301002223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 2 - 2*q - 2 + 3*q. Let l(z) = 140*z. Give l(b(f)).\nAnswer: -140*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/9)\/(6\/45). Suppose -4*m + s + 8 = 5*s, 5*m + 2*s = o. Put m, -1, 3 in increasing order.\nAnswer: -1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 6:33 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 (base 7) in base 8?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 777\/5 - 55157\/355. Which is the third smallest value? (a) -1\/10 (b) 4 (c) z (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 11. Suppose 27 = 4*q - j*v, 2*q - 12 = q + 3*v. Suppose -f + 12 = -4*r, -q*f - 2*r + 16 = 2*f. Solve -f*s - 5*u + 2 = -3, 0 = 4*s + 4*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 6*l - 2. Let n be q(3). Let z = n + 21. Let x be ((-3)\/2)\/(15\/(-20)). Solve 3*o = x + z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifw when three letters picked without replacement from ifwfrrrwwfrrrw?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1690687)\/(-2)*(-3 - -1). Let v = d - -3493971. Let k = 3803284 - v. Round k to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.9 - 25.79. Let g = 12.9 + c. Round g to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:27 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63010872 divided by 1944.\nAnswer: 32413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*g - 3158 - 31*g + 3158 to r + k*g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - h - 37, 3*h = 2*u - h - 8. Let p(q) = 7*q - 5. Let s be p(2). Suppose u + s = x. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59745 or 19?\nAnswer: -59745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (146*(-5)\/30)\/((-2)\/(-6)). Let f = l + 66. Let i(h) = h**2 + 7*h - 5. Calculate i(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1 - 3 + 4*j + 1 - 5*j. Let f be (6\/12)\/(3\/18). What is h(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*u + 63. Let h be (-63)\/(-4) - (-5)\/20. Calculate the greatest common factor of u and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -421.566 less than -7619?\nAnswer: -7197.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**2 - 7*z + 245. Let p(q) = -10*q**2 - 10*q + 363. Give 7*n(j) - 5*p(j).\nAnswer: j**2 + j - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33 - -3)*(-2)\/6. Let i(f) = 12*f**2 - f - 1. What is the remainder when i(2) is divided by (2 + 0)*m + 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1590 take away -1?\nAnswer: -1589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-175)\/(-21) + -7)\/((-48)\/(-36))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*c**4 - 125511*c**3*u**2 + 3*c*u**2 + 4*c - 8*u**2 + 7396*u wrt c.\nAnswer: 216*c**2 - 753066*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 92.065. Let z = o + 0.197. Let i = z + 0.068. Which is the third biggest value? (a) i (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*5\/((-10)\/1594) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 15*b**2 + 14*b - 16. Suppose t + 34 = -3*k - t, 2*k - t = -32. Give z(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1078, 0, 0.3, 3.\nAnswer: 0, 0.3, 3, 1078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-3\/7)*h*h\/(h*h**(-2\/11)*h))\/((((h\/((h\/(h\/h**11)*h)\/h))\/h)\/h)\/h**(1\/5)))**(-4\/17))**8 assuming h is positive.\nAnswer: h**(-170144\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 308*c - 740. Let f be j(55). Round f to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -2.19 in increasing order.\nAnswer: -4, -2.19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48 - -2646?\nAnswer: 2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 7797?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383 = -a + x, 4 + 1935 = 5*a + x. Let o = a - 223. What is the hundreds digit of o - ((-16)\/(-4) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118957 is divided by 528?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 421143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -5. Let p = m + 5. Calculate the remainder when (2\/6)\/((-1)\/(-57)) is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4977 - -4973. Put -0.2, -2\/9, d, 151, 0.2 in increasing order.\nAnswer: d, -2\/9, -0.2, 0.2, 151","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/9)\/m*m*m**(-4\/7)*m**7*m*m**(-1\/6))**(5\/2))**20 assuming m is positive.\nAnswer: m**(22175\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1516, 1515, 1514?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/6 (b) -3 (c) 3 (d) 697 (e) -1\/10 (f) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 34. Let a(u) = u**2 + u - 17. Let w be a(n). Find the second derivative of 6*h**2 + w*h - 52*h + 21*h wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 2*r**2 - 13*r - 3. Let q be s(8). Calculate the remainder when 0 + -2 + q - 2 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzuuzuzvzuzz. What is prob of picking 1 u, 1 z, and 2 v?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.5 (b) -0.1 (c) -16 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b + 35*b + 209 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006382221988 rounded to five decimal places?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rllttdrtdblt. Give prob of sequence rtdr.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 - 26*y - 5.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*n + 6*n - 12, -5*y + 4*n = 12. Let k be 3 - ((1 - y) + 1). Suppose k - 17 = -2*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32678 is divided by 8104?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/15)*((l*l**(-6\/17))\/l)\/l assuming l is positive.\nAnswer: l**(-379\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -51*k**2 + 6*k - 6. Let i be v(2). Is 2\/5 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**3 - 2*o**2 + 2*o. Let m = 195 - 200. Let y(f) = 9*f**3 - 5*f**2 + 4*f. Give m*s(g) + 2*y(g).\nAnswer: -2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -0.6 (c) -2\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-225\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -2241330?\nAnswer: -2241332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 8 - 20 - 4. Let k = f + -6. Let h = k + 52. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/229218 and 11\/2142.\nAnswer: 81830826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -59, -2 in decreasing order.\nAnswer: 1, -2, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -11\/929 (c) -1\/20 (d) 1\/8 (e) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.12 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9159 divided by 43.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 68 = -22. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955.9078 centimeters in millimeters?\nAnswer: 9559.078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 28*q - 712. Give n(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 53*x - 193. Does 20 divide s(43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -4 (b) -2 (c) 2\/9 (d) 29\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 467457.2 meters?\nAnswer: 467457200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 3:06 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341423233 - 1?\nAnswer: 341423232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*w - 32, 0 = 4*w - 2*v - 27 + 3. Let s(h) = h**3 - 3*h**2 - 7*h + 5. What is the smallest common multiple of s(5) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8666 = -8684. What is the remainder when 146 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -8 - -101) + (-124 - -103)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/7954 and 89\/18?\nAnswer: 71586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1062789 = -694*c + 1044051 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0348 + 2.0348. Which is the nearest to -4? (a) 1.4 (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 - -619\/9. What is the nearest to -0.1 in -2\/7, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*a = -43 - 15, 4*a + 79 = 3*c. What is the remainder when c is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*g + 29 = -t, -5*t + 3*g = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 22. Let r be l(-5). Let c(s) = -2*s**3 - s**2 + 2*s - 1. Calculate c(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**9\/211680 + n**8\/17640 - n**7\/4410 - n**5\/30 + n**2. Let z(q) be the third derivative of r(q). Factor z(v).\nAnswer: -2*v*(v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - y**2 - y + 560. Let k be s(0). Suppose h = 6*h - k. Suppose 43 + h = 5*g. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33\/4 + -411\/44. Is i <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -25*q + 55. Let l be n(-6). What is the greatest common factor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l - 421*l = -49*l + 2865 + 1167 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 11. Let h = 386 + -375. What is the smallest common multiple of h and v(10)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 359 by 149136.\nAnswer: 359\/149136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 4*f + 97. Let j be s(-8). Let a = 43 + -33. Put 2, a, j, 3 in decreasing order.\nAnswer: a, 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35633476 is divided by 11877822.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -19*x + 834. Calculate the remainder when 5031 is divided by s(43).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 5*f**2 - 39*f - 5. Calculate g(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 - 244 = 11*q - 894 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*n**3*p**3 - 328*n**3*p**2 - n**3*p - 2*n**3 + 1265*n**2*p**4 + 2*n + 1 wrt p.\nAnswer: -156*n**3 + 30360*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -27) + -24 + (8 - 14 - -4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 14*d + d + 40 + d. What is the tens digit of f(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b)**37*b**(5\/7)*b*b\/(b**(1\/7)\/b))**(-2\/27) assuming b is positive.\nAnswer: b**(-1604\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 2, c: 3, v: 10, h: 1, f: 1}. What is prob of picking 1 h and 2 c?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83 in -15.52, -0.07, -3?\nAnswer: -15.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**8\/1680 - b**7\/525 - b**6\/300 + 2*b**5\/75 - 7*b**4\/120 + b**3\/15 - b**2 - 4*b. Factor r(i).\nAnswer: (i - 1)**4*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 11, -20908 in decreasing order.\nAnswer: 11, 1, -3, -20908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**2)**(5\/8)*(u**(-2\/17)*u)\/u**(-2\/17)*(u**(-8)\/(u**(-3)\/u))\/((u\/(u\/(u**8\/u*u)))\/(u\/(u\/(u\/(u*u**(-2\/7)\/u))))) assuming u is positive.\nAnswer: u**(-579\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077252 is divided by 41425?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 61*d**2 + 740*d + 106. Give g(17).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 134542 + 8*k - 134542 + 14*k**2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 9306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -22*t - 12111*t**2 + 100*t**4 - 60 + 610*t**3 + 6389*t**2 + 6270*t**2 = 0.\nAnswer: -5, -1, -2\/5, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16709392 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782.66947 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -30) + (-10)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -13, -33, -63?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 159*m + 3960. What is j(-25)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 r, and 1 q when three letters picked without replacement from {r: 1, a: 1, q: 1, e: 1, l: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56356005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f - 260 = -89*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 8*u + 13. Let z be q(-9). Let k(x) = -z + x - 6*x + 7*x. Determine k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.459*-70.\nAnswer: -32.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134 - -147) + -1*23.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29324.\nAnswer: 2, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-105 - -122) + (15 - 4))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*i + 679 = 224 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9550.1 at most as big as -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33*(-15)\/110*(-16)\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 306*c**2 - 6182*c + 1576. Calculate v(325).\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -176 + 11122?\nAnswer: 10e9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16609 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - (-2 + (7 - 0)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*g**2 + 27*g - 27*g.\nAnswer: -148*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 7:42 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((12\/4)\/(3\/1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8682 is divided by 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 16*o - 1. Let r be z(-5). Let q = 194 + r. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/2 + -2 - 9. Let n be y\/(-35) - 46\/14. Let u(w) = 9411*w - 5*w**2 + 4*w**2 - 9414*w. Determine u(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26437 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8829 rounded to the nearest 100?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, -0.5, -5, -2 in increasing order.\nAnswer: -5, -4, -2, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.646156ug?\nAnswer: 4646.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8783\/6 + 1467. Let b = -120\/31 + -1063\/310. Find the common denominator of g and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvgvvvv. Give prob of picking 2 v.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 2*i**6\/5 - 101*i**5\/15 - 86*i**4\/3 + 104*i**3 - 1284*i**2. Find z such that f(z) = 0.\nAnswer: -2, 2\/3, 39\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64527 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/10)\/((-54)\/75*(-1000)\/(-150))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -20*k**3 - 116*k**2 - 160*k - 64 = 0.\nAnswer: -4, -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 r when four letters picked without replacement from {j: 3, a: 2, r: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v**2 - 5. Let q be (-32)\/(-14) + 2\/(-7). Let y(h) = -4*h**2 + 1 - h**2 + q. Suppose 2*k = 3*i - 9, 3*k = 3*i - 11 - 1. What is k*d(p) - 5*y(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3485 - -3578) + -16 + 3\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -199.321 - -0.521. Which is smaller: c or -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325175.\nAnswer: 5, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -10 - (-14 + 27).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-133)\/2 - 10\/20. Let m = g + 103. Does 25 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - -2.3. What is the nearest to -1\/4 in n, 0, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 33\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/8 - 136\/(-32). What is the second derivative of m + 5*m**3 - 2*m**3 - 3*m**3 - m**u wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:29 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, s: 4, z: 5}. What is prob of picking 2 s?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 25*f + 20 = 0. What is the second derivative of 6*i + i**2 + f*i**2 - 6*i**2 - 9*i**3 wrt i?\nAnswer: -54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -249 or -250?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 14, k: 1, m: 1, h: 1, g: 1}. Give prob of picking 1 d and 1 m.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -7\/5*g**5 + 2\/21*g**7 - 2\/5*g**6 + 0 + 0*g**2 + 12*g**3 - 179*g + 5*g**4. Suppose o(u) = 0. What is u?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g - 7. Let l(w) = -7*w - 35. Let u(r) = -10*r - 30. Let f(c) = -2*l(c) + 3*u(c). Determine -6*f(j) + 17*v(j).\nAnswer: 11*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -326*i + 5406. Determine c(16).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8398 and 7429?\nAnswer: 193154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9491\/7924 + 3\/2264. Find the common denominator of -179\/2898 and c.\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okextxokctko. What is prob of sequence xxke?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 0 + 0*y**4 + 0*y**6 + 0*y**2 - 2*y - 1\/42*y**7 + 0*y**5 - 1\/3*y**3. Find the second derivative of z(p) wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 9*w**2 - 7*w - 4. Let a = 13 + -5. Let z be r(a). Let d be (-2)\/1 + 113 + z. Calculate the highest common factor of d and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197272 divided by 1\nAnswer: -197272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/15, -2, -4, -45.8, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 j when four letters picked without replacement from jjjjrjjj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.30315? (a) -0.3 (b) -5.9 (c) -1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 2789276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 542*b + 0 + 30*b - 8*b**2 + 20*b.\nAnswer: -8*b**2 - 492*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8536207 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 90\/7, -1\/2, -0.4, -3\/5 in descending order.\nAnswer: 90\/7, 0.2, -0.4, -1\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - i + 1. Let g(q) = -8*q**2 - 9*q + 1. Let f(n) = 6*b(n) - g(n). Let o be f(-4). Solve -11*r + 16*r = o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13194*q + 6747*q + 6445*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 15, p: 4}. Give prob of picking 2 p.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 17, z: 3}. What is prob of sequence zzzl?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 1. Let a(p) be the first derivative of p**2 - 3*p - 20. Give a(m) - 3*k(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2128 + 328 = -4*b. Suppose 0 = -25*p + 10*p + b. Calculate the smallest common multiple of 33 and p.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*o + 12, 5*b - 3*b = 5*o - 22. Is b less than or equal to -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2\/7 - 466*f\/7 - 22244\/7 = 0. What is f?\nAnswer: -166, -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6478442 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 8*d = 61, v + 89*d + 27 = 93*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9840 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3 minus 0.44?\nAnswer: -5.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n + 3*g + 141, -173 = -4*n - g. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/35)\/3)\/(6\/165).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/15)\/(l*l*l**(-12)))\/((l**(-9)*l)\/(l**(-8)\/l)) assuming l is positive.\nAnswer: l**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 943471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - z**2 - 1. Let h = -1715 - -1711. Let c(b) = -b**3 - 4*b**2 - 3. Determine h*x(k) + c(k).\nAnswer: 3*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43786 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p**2 + 17*p + 4. Let s(z) = 12*z**2 + 16*z + 5. Give 5*f(i) - 4*s(i).\nAnswer: 12*i**2 + 21*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 11. Let f = 7 - u. What is the highest common divisor of f and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-183)\/(-122))\/(((-36)\/168)\/(3\/1))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 622 + 621 = 5*x, 0 = x - 2*p + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -593856*f**5*m + 114972*f*m wrt f.\nAnswer: -11877120*f**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2 - 50*t - 3. Determine j(-7).\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 439?\nAnswer: 1\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and -21*((-396)\/126 - (-3 - -14)).\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 210\/58 - ((-49)\/(-7) - 2). Let d be 5\/(-45)*2*9. Which is bigger: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 17747262*v - 17747262*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (10 + -1 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 900 and 4950.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -205143, -410287, -615431, -820575, -1025719?\n\"Answer: -205144*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 3) + -7 - -6. Suppose -47 + 158 = k*s. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/60)\/(2\/102). Let p be 179 + (11 + 2 - 5). What is the highest common divisor of p and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6031352370.\nAnswer: 2, 3, 5, 3691, 54469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 17. What is the remainder when 14 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -8*u + g + 217, 2*g = 5*u + 529. What is the third smallest value in 5, 0.2, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13930 - 494*l + 13930)*(-5 + 3 - 1)*(-l + 1 - 1).\nAnswer: -1482*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6205*q**3 + 22*q**2 - 60*q - 16. Is d(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 149 = 5*r + 6*d, -4*r - 4*d + 124 = 0. Calculate the lowest common multiple of r and 7.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-232)\/(-1624))\/(-2 - -1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -993974?\nAnswer: -496987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5 + 1962*i**4 + 66418*i**3 + 187502*i**2 + 183588*i + 60544 = 0 for i.\nAnswer: -946, -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1591 - 1587. Let o = -3 - -21. What is the nearest to 0.2 in 0.5, x, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h**4 + 87*h**3 - 87*h**2 - 783*h - 189 = 0. Calculate h.\nAnswer: -7, -3, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10164 + 13223 = -21*t - 1729. Let h = -8132 - -866. Let j = h - t. What is j rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2296 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*-3*sqrt(68)*6)\/(1*sqrt(28)\/sqrt(7) - sqrt(44)\/(sqrt(11) - (sqrt(11) - (sqrt(44) + sqrt(11))))).\nAnswer: 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 52*b - 27. Let m(w) = -209*w + 108. Let d(z) = -2*m(z) - 9*r(z). Let i(o) = -o**2 + 14*o - 21. Let n be i(13). Is d(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411 - 465 = 9*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -285 and 86.\nAnswer: -24510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346, 702, 1302, 2152, 3258, 4626?\nAnswer: 6262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -343910, -688026, -1032142, -1376258, -1720374?\n\"Answer: -344116*a + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154402.227 minutes to weeks.\nAnswer: 15.31768125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) -2 (c) -27807 (d) -2\/7 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) 6 (b) -11 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 14*y**2 - 15*y + 1. Let m be q(13). Let c be (2\/5)\/((-5)\/m). Let a(l) = -2*l**2 + 2*l. Determine a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852 > 855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1627844 * -0.5\nAnswer: -813922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -530 + 554. Suppose f*y - 12 = 30*y. Put 1, -0.7, -1\/4, y in decreasing order.\nAnswer: 1, -1\/4, -0.7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*l - 9*l = -152 + 578 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 55.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 267 and 183874.\nAnswer: 551622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -2*k - 49. Suppose -3*z = q + z - k, -5*q + 45 = -5*z. Suppose q*d = 3*d + 125. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -11 - -4)*(-3)\/(-78). Which is the biggest value? (a) 0 (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 5:10 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(sqrt(363) - (-3*sqrt(363) - sqrt(363)) - (4 + sqrt(3) + 1))**2.\nAnswer: -87730 + 5400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6262 - -0.3738. Let q = 0.01 - 0.01. What is the closest to q in 3, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0. Let u = t + -0.1. Let w be 1*(-5)\/4 + 1. Which is the nearest to w? (a) -5 (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + g = -3*o + 2*o - 62, o + 5*g + 302 = 7*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Let i(q) = -q**2 + 4*q + 4. Let g be i(u). Let p(m) = -2*m - 11. Let h be p(-8). Solve o + g*o = h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*b + 588 = -54*b. What is the highest common divisor of 126 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.5585 + 16.0388. Round p to 1 decimal place.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -0.2. Let t = 0.1 + 0.4. Sort k, 0, t in decreasing order.\nAnswer: t, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 15, 9 in ascending order.\nAnswer: -1\/2, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 17*g - 216, 24 = -505922*g + 505920*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7292, 14633, 21988, 29363, 36764, 44197, 51668?\n\"Answer: f**3 + f**2 + 7331*f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.96 and -0.412.\nAnswer: -6.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (994\/(-213) - 18\/(-4))\/((-4)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1642556.22 and 7.\nAnswer: 1642563.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-2 - 13) + 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 357 - 361. Let t be (g\/8)\/((133\/42)\/(-19)). Solve -6 = 3*q, -8 - 6 = -4*a - t*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84994 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*x**3 - 45*x**2 - 24*x - 4.\nAnswer: -(x + 1)*(5*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -185*p - 929. Let a be o(-5). Suppose -95 = 5*z + 10. What is the third biggest value in a, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -339*h + 303*h + 108 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -339, -745, -1313, -2043, -2935, -3989?\nAnswer: -5205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**(4\/9)\/((n\/((n*n*(n\/((n\/(n*n**(-13)*n*n)*n)\/n))\/n)\/n)*n)\/(n*n**(-9)*n)) assuming n is positive.\nAnswer: n**(-517\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4 - 58*a**3 + 520*a**2 - 1784*a + 1920 = 0. Calculate a.\nAnswer: 2, 5, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:55 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 10*x - 11. Let o(i) = -2*i - 7. Let u be o(0). What is the units digit of b(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 4*i**2 - i - 4. Suppose -k + 6 = k. Let m be r(k). Suppose -22 - 5 = -3*a. Solve 0 = t + m*t + a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94851.34 to the nearest 1000.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 7*j**2 - 66 - 15 + 114 - 69 + 98.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1116)\/(-124)*4\/42)\/(3\/(-63))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2*1 - -5. Let n be q*1*(-4)\/(-6). Let w = 1 + n. Which is bigger: 4 or w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -7\/240*m**6 + 7\/48*m**4 - 11\/120*m**5 + 2*m**2 - 21 - 1\/420*m**7 + 0*m + m**3. What is g in x(g) = 0?\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 19*u**3 - 5*u**2 - 3*u - 18. Let k be s(10). Suppose -16*w + k = -12*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s + 4. Let h(w) = w + 1. Let r(v) = -5*h(v) + q(v). Let j be r(3). Factor -11*f**5 + 0*f**4 + 9*f**5 - j*f**4.\nAnswer: -2*f**4*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69 + 56 - 5)*(5*j + 2*j - 4*j + 3) - 2*j + 0*j + 0*j to the form v + y*j and give v.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, 595350 in increasing order.\nAnswer: -18, -5, 595350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 7*c - 4. Suppose -4*h + h = 3*n - 6, -3*h = -5*n + 34. Let u be q(n). Suppose 0 = -5*d + u*d - 5. Sort d, 13, 1 in increasing order.\nAnswer: 1, d, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2816) - 2*sqrt(2816) - sqrt(2816) - sqrt(2816))\/(sqrt(144)*2) + -5.\nAnswer: -2*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/3 + (-5)\/(-15). Let c = 0 + j. Suppose -2*q + 61 = 19. Solve 4*w = 4*l + 4, 0 = -w - c*w - 5*l - q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-300)\/(-8))\/(1\/2). Suppose j - a = -4*j. Let w be (24\/(-20))\/(60\/(-8250)). Calculate the greatest common factor of w and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 11:42 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (5 - 17)) + -5 - -22 - -125.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**2 + 3*b - 4. Let a be x(-3). Let p = a - -108. Suppose 3*f = -2*f + p. Solve -r - 4*y - f - 10 = 0, -5*r + 5*y = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 22*c**2 + 41*c + 47. Let j be r(-20). Factor -19*p**4 + 8*p**2 + 37*p**4 + 0*p**2 - j*p**3 + 5*p**3 - 4*p**2.\nAnswer: 2*p**2*(p - 1)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + q - 20. Let l = -100 + 150. Calculate the greatest common factor of l and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 3\/5165?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 22*z**3 + 9*z**2 - 3*z - 9. Let j(w) = 21*w**3 + 12*w**2 - 4*w - 10. Calculate -3*j(l) + 4*x(l).\nAnswer: 25*l**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -325 divided by -65\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**2 - w + 27. Let r(s) = -7*s**2 - s + 27. Suppose -2*n + 20 = 2*c, 4*n - 4*c - 204 = -196. Give n*r(y) - 5*o(y).\nAnswer: -2*y**2 - y + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b6 (base 14) to base 12.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i + 344 = -72 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6034 and 8162.\nAnswer: 3517822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35403564, 141614204, 318631938, 566456766, 885088688, 1274527704?\n\"Answer: 35403547*c**2 - c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v - 23. Let j be u(2). Solve 0 = -f - 5*n + 25, -j = 2*f + 6*n - 7*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -86*y - 3385. What is the remainder when 82 is divided by w(-40)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 5) + ((-10)\/(-6))\/(16\/48). Solve b = -p + 8*n - 7*n, -4 = 5*p - n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 4. Let w = -5 + 1. Let h be j(w). Let k = h - -53. What is the remainder when k is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 340674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i**(-2\/5))**(-8\/9) assuming i is positive.\nAnswer: i**(-104\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 60*b - 182. Give x(6).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -800 take away -0.1?\nAnswer: -799.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 612468615 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14722 by 3.\nAnswer: -14722\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + (sqrt(171)*1*-6 - sqrt(171)))) + sqrt(171) + -2*2*sqrt(171))\/((sqrt(9) + sqrt(9) + sqrt(18)\/sqrt(18))*4).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 - 5*c**3*y**3 - c**2*y**2 + 14*c*y + y**3 wrt c?\nAnswer: -120*c**3 - 30*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 46. Suppose -4*b + c = -28. Calculate the remainder when 239 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 12*s**2 - 20*s + 59. Calculate l(6).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 2*u - 76, 4*q - 4*q = -2*q + u + 25 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3858653287?\nAnswer: 53, 72804779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108665 is divided by 1488?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 - -338. Let m = h - 393. What is the remainder when 85 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 329576.\nAnswer: 329576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**3 - 10*u**2 - 18*u + 10. Let p be 5*(33\/(-99))\/(1\/(-6)). Let k(h) = h**3 - h**2 - h + 1. Determine p*k(d) - y(d).\nAnswer: 2*d**3 + 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.18 + -0.08. Let p = -457\/2332 + 3\/212. What is the nearest to z in 3\/7, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5092?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*v, -c - v - 8 = -6*v. Calculate the remainder when 6 + (98\/4 - (36\/(-8) - -4)) is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1773, 4, 3 in descending order.\nAnswer: 1773, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 14 = 3*j, -2*k + 10 = -7*k. Let d be (j\/7)\/((-4)\/364). Let x = 6 - d. Which is smaller: x or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3*(-192)\/64*2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 231359, 231358, 231357, 231356, 231355, 231354?\n\"Answer: -s + 231360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + d**2 - 7*d + 22. Calculate i(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -45*s - 210. Determine v(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 s when three letters picked without replacement from csssscicccsicccc.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - n + 5)*(-1 + 1 + 2)*((-3 + 4 - 3)*(n**4 + 0*n**4 - 2*n**4) - 87*n**4 - 192*n**2 + 192*n**2) + 14*n**5 - 88 + 88.\nAnswer: 184*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Suppose 0 = -3*l + q*x + 26 + 173, -333 = -5*l + 4*x. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265228 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from ccccggcgcg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b707 (base 14) in base 3?\nAnswer: -102100210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**8\/25200 - v**7\/12600 - v**5\/20 - 2*v**2. Let w(y) be the third derivative of i(y). Let w(j) = 0. What is j?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 4*a**2 - 4*a + 4*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4371 - -5683. Calculate the highest common factor of w and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 40*f**2 - 13*f**2 - 25*f**2 - 3*f**2 - 2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + h + 95 = 0, -r = -4*r - 4*h - 68. Let o be (r\/(-18))\/((-4)\/(-9)). Which is smaller: o or 20\/11?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*q + 210 = 0, 3*q = 3*v - 299 - 28. Let d be ((-6237)\/(-44))\/21 - 2\/(-8). What is the first derivative of -m + 108*m**2 - v*m**2 + m + d wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0689*53458\nAnswer: -3683.2562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - l - 2004 = 0, 3*o - 5*l - 215 = 1801. Find the third derivative of -9*c**6 - 2*c**3 - o*c**4 + 667*c**4 - 57*c**2 wrt c.\nAnswer: -1080*c**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**(-1\/5)*(l**1)**(-3\/14)*(l**(-7\/5)*l**(9\/2))**(-19\/4) assuming l is positive.\nAnswer: l**(-4071\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7282 + -7278. What is the third smallest value in -3, 135, -7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s + 13 - 13.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3786 - -a43?\nAnswer: -2843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) - -2*sqrt(336))*6)\/(sqrt(63)\/(sqrt(36)\/sqrt(36)))*-6*3.\nAnswer: -432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pui when three letters picked without replacement from uiopiiupuiiiiu?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, m: 2, f: 4}. Give prob of picking 3 p.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 114*i - 453, -5*h = 3*h - 5*h - 4*i + 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/510)\/(2508\/(-12540)).\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1219?\nAnswer: -2\/1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 431399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcdb when four letters picked without replacement from {k: 2, b: 1, m: 1, c: 2, i: 1, d: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8349989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a century in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141042 + -126232648\/895. Calculate the common denominator of x and 9\/1432.\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 0*r**2 + 1\/6*r**3 - 1\/48*r**4 + 0 - 18*r. Let v(h) = 0. Calculate h.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) 53 (c) -2540 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2865, 5320, 7713, 10014, 12193, 14220?\n\"Answer: -5*v**3 - v**2 + 2493*v + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52240 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 464 - 1646. What are the prime factors of w?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4105878 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 596*s**2 + 110814*s - 4151592.\nAnswer: -2*(s - 69)**2*(s + 436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/((-1380)\/253)*(-32)\/(-88)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440480 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -6.116.\nAnswer: -6.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 513.91 + -246.12. What is u rounded to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*q = -294, 2*q = y - 27 - 74. Let u be y\/21 + 2\/7. Let r = -2913 - -2912. Put u, r, 1 in decreasing order.\nAnswer: u, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849708787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 1, t: 2, e: 1, l: 1, h: 2}. What is prob of sequence hh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -68236?\nAnswer: -68236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02687685 to three decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(475)*6*5 + (sqrt(931)*-1*5 + 0)**2.\nAnswer: 150*sqrt(19) + 23275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 44 = 3*r + 2*q, -4*r - q - 47 = 0. Let w(u) = -21*u**2 - 17*u + 8. Let b be w(r). What is b rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13314 - 88*b + 13311 - 21*b)*((0 + 3 + 3)*(2 - 2 - 1) + 1 - 6 + 3).\nAnswer: 872*b + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005648 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.883621 centuries?\nAnswer: 2260.3452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3840 * -3\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 s when four letters picked without replacement from {f: 2, c: 5, q: 5, g: 3, s: 4}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-6)\/2*-1. Let u be (72\/(-16))\/(a\/4). Let k = -3 + u. Solve k*f = 5*t + 3*f, 4*f = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 10 (c) -0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**8\/7 - h**5\/60 + h**4\/3 + 55*h**2. What is the third derivative of r(q) wrt q?\nAnswer: 2880*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*28345\/45352.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = -0*n. Let q(f) = 40*f - 7. What is the units digit of q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19820 by -12.\nAnswer: 4955\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -207710 to the nearest one thousand.\nAnswer: -208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**3 + 17*w**3 - 51*w**3 + 17*w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -5*l. Let i = 13 + -8. Let u = -4 + i. What is the biggest value in l, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-168)\/(-36) - (-1)\/3. Suppose -y*r - 2*x = -293, r - 9 = 2*x + 40. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-9))\/((-2)\/(-6)). Suppose 0 = 5*t + h - 196, 4*t - 2*t - 3*h - 75 = 0. Let n = 60 - t. Solve v = 4*b + n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 b when four letters picked without replacement from sbsssbbsbsbss.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 394575.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + -44 - ((-24)\/(-10))\/((-36)\/90)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*q + 126*q + 530 + 5*q**2.\nAnswer: 5*q**2 + 530","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4*y*y\/y**(3\/8)*(y*y**(-2\/7)*y)**(-47))\/(y**6\/y*y*y**(-2\/5))**(-37) assuming y is positive.\nAnswer: y**(37031\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 11*p + 12.\nAnswer: -(p - 1)*(p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 26.24127 days?\nAnswer: 2267245728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 15*p**2 + 16*p - 82. Calculate the remainder when x(-18) is divided by 63.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-39)\/((p\/(p\/(((p**(-1\/19)\/p)\/p)\/p)))\/p)*((p*p*p**27*p)\/p)**(44\/7) assuming p is positive.\nAnswer: p**(19596\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/35 and -54\/65?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 7*u**5\/10 + 5*u**4\/12 - u. Find the third derivative of a(k) wrt k.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35 + (-4)\/10 + (-72)\/(-30). Find the first derivative of 0*h + 55 + 6*h - n + h wrt h.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 10*f + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49d (base 14) in base 11?\nAnswer: 76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2 - 2102*y + 1104601 = 0.\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65345062 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + 5. Solve -p = 5*h - h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/32*(-2 + 2)\/2. Let r(t) = t**2 + t - 41. Give r(l).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 21*o**2 + 73*o - 21. Let p be f(24). Is 11 a factor of p*(6\/6 + 0)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24323102030 - 0.07.\nAnswer: 24323102029.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 86881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + (15 - (-7 + 5)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 577, 579, 581, 583?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/12)\/(7\/(-15274203)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -31.8. Let k = -0.8 - s. Sort -0.04, 5, k in ascending order.\nAnswer: -0.04, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1774*y**2 + 16 - 16 - 1326*y - 1776*y**2 to f + n*y + b*y**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*(-23)\/((-299)\/52). Factor 3*b + 3\/2*b**g + 3\/2.\nAnswer: 3*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -15. Suppose -t - v = -5*c, -t - 2*c - 2 = -12. Suppose -t*h = -h. Solve 0*r - 2*r - 10 = h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7462*f**2 + 14969*f - 25. What is b(2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 21. Let r be g(20). Let a be r - ((2 - 4) + 3). Let f = 6 - 10. What is the closest to 2 in a, f, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n + 27. Suppose 4*p + 5*a = -141, 4*p - 3*a = -5*a - 126. What are the prime factors of k(p)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 4*g - 3*q, -2*q + 7*q - 46 = -3*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33528269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000014872 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*z - 19. Solve 2*g = f + 12, -4*f + 3*g - z = 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -0.1, -11\/5, -1, 8\/111?\nAnswer: 8\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37125905 divided by 1.\nAnswer: 37125905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - p = -50, 0*v - 3*p + 33 = 2*v. Let d be (-88)\/(-11) - (0 + -1). Calculate the greatest common factor of d and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10467768 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.21 (b) 19\/3 (c) -2\/9 (d) -3592 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50853919, -50853920, -50853921?\nAnswer: -50853922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 2. Let i(a) = -2*a + 5. Let s(v) = -5*c(v) - 2*i(v). Let q(z) = -4*z**2 - 186*z - 90. Let t be q(-46). Let p(b) = -b - 1. Give t*p(m) + s(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -873 - -6610. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, i: 4}. What is prob of picking 4 i?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15044 (base 12) to base 9.\nAnswer: -44327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 - 5*m. Determine v(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 57*j - 1. Let l(d) = -5*d**2 - 289*d + 18. Let h(s) = l(s) + 5*u(s). Let m(x) = 4*x**2 + 3*x - 13. Calculate 2*h(f) + 3*m(f).\nAnswer: 2*f**2 + f - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 240, 481, 722, 963, 1204, 1445?\n\"Answer: 241*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 430 and 12970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -4173*s**2\/2 - 3616*s - 705. Differentiate o(i) with respect to i.\nAnswer: -4173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 27. Suppose 580 = 5*w - 0*w. Suppose -f*m + w = -m. Calculate the greatest common factor of m and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 3538161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -4 + (-64)\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -15*m**2 - 345*m - 78. Give s(-23).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 1. Let l(r) = 21*r - 7. What is 4*k(p) - l(p)?\nAnswer: -29*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -18*u + 18. Let i(s) = -5*s + 4. Let q be 3*((-56)\/(-476) + (-208)\/34). Let r(b) = q*i(b) + 4*n(b). Give r(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -5*j**8\/8 + j**5\/2 - 674*j**4\/3 + 2055*j. What is the third derivative of t(w) wrt w?\nAnswer: -4200*w**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 196*q**5 - 93*q**5 - 61*q**5 + (0*q**2 - 13*q**3 + 3*q**3 - q**2)*(-q - 3*q**2 + q).\nAnswer: 72*q**5 + 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 43810476 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 - f**3 - 5*f**3)*((3 - 2 + 1)*(2 - 3 + 0) + 3 + 3 - 4 + 2 + 0 - 4 + 1 + 3 - 1).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-27) - (-232)\/(-48)) + 3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*u = 4 - 19, -6*w - 22 = -2*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 4*d - 1. Let c(z) = 8*z**2 + 16*z + 4*z**2 + 3 + z**2 - 6. Let r(i) = -2*c(i) + 9*k(i). Let g be r(2). Solve -t - 2*t = -g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 291 - 292. Let k(o) = -3*o**2 - 5*o. Let v(g) = g**2 + g. Let m(n) = t*k(n) - 5*v(n). Let u(q) = -q**2 - 21*q. What is m(u(l))?\nAnswer: -2*l**4 - 84*l**3 - 882*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7144.43036 + -7124.43. Let w = u - 20. Round w to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110103200213 (base 4) to base 8.\nAnswer: 24234047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -145051591434+-602\nAnswer: -145051592036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2 - 2)*(-3 - 3 + 3) + (1 - 1 - 1)*(0 - f + 0) + ((-3*f + 2*f + 0*f)*(2 - 1 - 2) + 3 - 3*f - 3)*(-2 + 1 + 0).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-87))\/((-2)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5311 + 9.4689. Let k be (-36)\/75 - (-4)\/10. What is the closest to 2\/5 in h, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2\/3, -26, 3, 10, 9\/2, -2 in ascending order.\nAnswer: -26, -18, -2, 2\/3, 3, 9\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 + 21 - (2 + -1)) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + 21002011221?\nAnswer: 21002011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Let t be -3*(-6)\/(-9) + s. Solve -4*f = f + 3*x + 24, 3*f - 3*x = t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 5*o**2 - 4*o - 2. Let g be j(3). Suppose 2*s = g*m - 10, -s - 2*s + 9 = 2*m. Calculate the highest common factor of 17 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -780019710.33999923 - -780019705. Let c = d - -5.34. Round c to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**8\/2184 - b**7\/455 - b**6\/780 + 7*b**5\/390 - 4*b**3\/39 + 31*b**2. Solve y(n) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 1\/46, 3, 0.2, -22 in increasing order.\nAnswer: -22, 1\/46, 0.07, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 10 - 2. Suppose -6*j + 8*j - b = 0. Solve -2*g = -m + 7, -2*g + j*m - 3 = -3*m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 42 + 98. Suppose o = 6*o - 20. Calculate the highest common factor of o and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9657 and 331335?\nAnswer: 9608715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 21 - 49 - 2 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(196\/24))\/(177\/(-413))*(-39)\/143?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18051.\nAnswer: 3, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66\/55*(-40)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 12:05 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1466 or 1359?\nAnswer: 1359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35776\/3 - 5723881\/480. Calculate the common denominator of o and 89\/100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 41 - 22)*(w + w + 0*w)*(3*w - 9*w + 0*w) - w**2 + 2*w**2 + w**2.\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (1 - -4)) + (-41 - (-22 + 34)) + -22\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + 0 + 0.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 771*d**2 + 27*d + 8. Let l be a(-4). Suppose 0 = 13*s + 6*s - l. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 19*t**7\/21 + 41*t**4\/12 - 392*t. Find the third derivative of a(f) wrt f.\nAnswer: 2280*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127911926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 164964401 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-70))\/(((-216)\/(-1701))\/(-4))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*h**2 + 19*h**2 + 9*h**2 - 4*h + 4*h**2 to y*h**2 + g*h + z and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81\/4 - 899\/44. Let r = -0.07 - 3.23. Let q = r - -3.4. What is the third smallest value in 3, q, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 - 158 - o**3 + 315.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -81524 and -4.\nAnswer: -81528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-50)*3*9\/36\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154 - -266. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 121001?\nAnswer: -120333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17209 - -0.5\nAnswer: -17208.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:10 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25146 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*k - 650 = 51*k. What is the greatest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(5*(sqrt(153) - sqrt(153)*2 - sqrt(153) - sqrt(153)) + 2*sqrt(153)*-2 + 1)**2 + 0)*2.\nAnswer: -1368*sqrt(17) + 662810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2345214173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*v = 66*v - 1092. Calculate the remainder when 14195 is divided by v.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 8*b**3 + 8 - b**4 - 8*b**3 in the form j*b + w*b**3 + t + z*b**2 + i*b**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/4 + (-9)\/(135\/20)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/14 at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5) + 2 + -2 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 0 - 2*g**3 + (-3*g**2 + 3*g**2 - 3*g**2)*(-g + 0*g + 0*g) as m*g**2 + h + n*g + z*g**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -5*c + 3*t + 34, -5*t = -10. Let p(i) = -8*i**2 - 15*i - c*i**2 + 4*i**2 + 18*i**2 + 0*i**2. Let h(n) = n**2 - 2*n. Calculate -30*h(x) + 4*p(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301374 is divided by 100433.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 569, 570, 573, 578, 585, 594?\n\"Answer: j**2 - 2*j + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 4*o + 4*o)*(2*o + 0*o - 2 - 3*o)*(2 - o**3 - 2).\nAnswer: 2*o**5 + 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 11*v**2 - 10*v + 3. What is l(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7543493266 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t - 17*t + 48 = 25*t. Solve -4 = -7*h + 9*h + t*y, 0 = 4*h + 4*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-6) - (-6)\/(-9). Suppose w + w - 24 = 2*j, c*w = -3*j + 6. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 51 + (-4)\/2*6\/(-6). Suppose -3*p + 24 = -x - k, -5*p = -x - 127. What is the remainder when 49 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 308 + -308. Solve -t + k*g - 3*g + 1 = 0, -9 = 3*t + 3*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426*-3.\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2688) - (sqrt(2688) + sqrt(2688)*-3))\/sqrt(6).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 2*l - 1. Let i be w(4). Calculate the remainder when 97 is divided by ((-3)\/i + -2)*-15.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 11*o - 5*o - 5*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 5*f**4 + 44 + 2*f**2 - 20 + f to u + t*f**4 + l*f**3 + m*f**2 + z*f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 0*r - 10 + 2*r + r - 5*r. Let l be y(-8). Suppose d = l*d + 160. What is d rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -760, -3048, -6862, -12202, -19068, -27460?\n\"Answer: -763*r**2 + r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**2*x**2 - 14*i**2*x - 1273*i**2 + 22*i*x - 39*x**2 - 105 wrt i?\nAnswer: -10*x**2 - 28*x - 2546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*6 - 4*sqrt(45))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 117. Suppose -4*o - 5*u = -c, -2*o + 4*u + 23 = -7. 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 prob of sequence ew when two letters picked without replacement from zwwezzeezwww?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((3\/8)\/(4293\/648))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/570 and -121\/456.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6*45360\nAnswer: 272160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bibe when four letters picked without replacement from {x: 1, b: 3, e: 6, i: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + -15 - (323 + -343) - (1 - 91).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4885\/6 - 826. Calculate the common denominator of ((-11)\/198)\/((-142)\/(-158)) and z.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/7 - 5214*g**3 + 36494*g**2\/7 + 5214*g - 36496\/7 = 0. Calculate g.\nAnswer: -1, 1, 18248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 115877323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19.60393 millilitres?\nAnswer: 0.01960393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16875*l**3\/2 - 900*l**2 - 24*l.\nAnswer: -3*l*(75*l + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/((-95)\/20 + 4). Calculate the common denominator of ((-14)\/140)\/((-1)\/d) and -6\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59443.2 and -2.2.\nAnswer: 130775.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (90\/63)\/((-3)\/(-210)). Sort -1, 0, m.\nAnswer: -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 13) in base 12?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 4:13 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**4 + x**3 + 753898*x + 2402427 with respect to x.\nAnswer: 4*x**3 + 3*x**2 + 753898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9950087?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 7*c = 4. Solve 0 = -p + c*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4652 by 5.\nAnswer: -4652\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 942\/5181*2\/4.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*r - 2*z - 11, 3*z = -11*r - 190 + 223 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18011, -18012, -18013, -18014?\n\"Answer: -p - 18010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5186.82 to the nearest 100.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517*m + 5 = -h + 512*m, -28 = -4*h + 4*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18602.308 + -2442.\nAnswer: 16160.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13598239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(12)*-1)*-2*5)\/(sqrt(24)\/(sqrt(1452)*-2 - sqrt(1452))*-1).\nAnswer: 330*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66259468?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.339911448 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 14, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 43 = 4*p, -5*p = 3*z + 3 + 54. Let r be (10 + p)\/((-12)\/2). Factor r*q + 1\/3*q**2 + 0.\nAnswer: q*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m**3 - 3*m**3 + 4*m**3.\nAnswer: 37*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/55788 and -97\/31340.\nAnswer: 437098980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1259196 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 18*j + 5. Let q be w(-3). What is the common denominator of (-305)\/(-42) - (-21)\/q and -4 - 146\/24 - -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - v**2 - v. Let t be w(0). Suppose t = 5*q + 13 - 78. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0792 * -5.\nAnswer: 0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 e, 1 k, and 1 j when four letters picked without replacement from {k: 1, j: 2, e: 4, i: 1, g: 1}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1053)*5 - (3 + (sqrt(1053) - (2*sqrt(1053) + sqrt(1053)))).\nAnswer: -3 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Solve 2*c + j = -6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 3*h**2. Let j(s) = -3*s**3 + 3*s**2. Let f(i) = -3*j(i) - 4*x(i). Let b(t) = t**3 + 2*t**2. Calculate 3*b(y) - 2*f(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - i = -6*y - 5, -4*y = -5*i - 33. Determine z so that y*z**4 - 2*z**2 + 0 + 10\/7*z**5 - 4\/7*z - 6\/7*z**3 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/14416)\/(240\/(-2720)).\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4211.\nAnswer: 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106452, 106692, 106926, 107154, 107376, 107592, 107802?\nAnswer: 108006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 18 + 30*t + 13 + 9 to s + n*t and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18 + 856\/36. Let y be (-16)\/t - (-65)\/3. Suppose 2*z - 9 = y. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o\/(o*o*o*o*o*o\/(o\/(((o*o\/(o**4\/o))\/o)\/o))*o*o))*o*o)\/o)**(-39)*(o\/o**(-9))\/o*o**(10\/3))**(2\/23) assuming o is positive.\nAnswer: o**(-862\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16 + 0 + 4\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 26676599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k + 45. Suppose 114*u + 796 = -1070 - 870. Give h(u).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2. Let t(c) = -2512*c**2. Give n(t(v)).\nAnswer: 31550720*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**6\/180 - f**4\/8 + f**3\/3 - 5*f. Let a(i) be the second derivative of t(i). What is the first derivative of a(x) wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/v*v**4)\/(v**(3\/4)\/v*v*v**4) assuming v is positive.\nAnswer: v**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2947436 divided by 119\nAnswer: 2947436\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6304 + 37951\/6. Let t = 197\/6 - s. Calculate the common denominator of t and 1 + 3\/((-15)\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2440, -2, 3, 5, -7, -5 in descending order.\nAnswer: 2440, 5, 3, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 86*n**2 + 54*n + 10625. What is w(88)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/51, 3, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 11*w**2. Suppose -3*j - 30 = -5*x, 0 = -x - 20*j + 23*j + 6. Let m(a) = 12*a**2. What is x*q(b) - 5*m(b)?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*a = 1297*a - 384*a + 63756 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, -137, -3, -1, -0.097 in decreasing order.\nAnswer: 4, -0.097, -0.1, -1, -3, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:18 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:59 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033824 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -11*m**2 - m + 2. Determine p(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2\/94271 (c) -5 (d) 0.2 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -5*f - 2. Solve f*q = -10, -o - 5*q - 27 = -0*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173469 + -173467. Suppose -2*n = 3*n. Suppose 2*w + n*w + 8 = 0. Which is the closest to 11? (a) -2 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21017, -42038, -63061, -84086?\nAnswer: -105113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -1\/12*o**4 + 0*o**3 + 0*o**2 + 0 + o. Let t(h) = 5*h. Determine g(t(w)).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, j: 1, l: 1, g: 3, p: 5}. Give prob of picking 1 l and 1 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d + 1301. Determine r(67).\nAnswer: 1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -4, -8, 0.0172, 2, -2\/11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.011 rounded to two dps?\nAnswer: 3.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0*b + 5*b - 3*b + 4*b. Let a be d(2). Suppose -4*n - 16 = 0, 4*z + 6*n = n - 12. Solve -z*j + a = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21666, -9537, 2590, 14715?\nAnswer: 26838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000146385098 rounded to 7 dps?\nAnswer: 0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1283787.\nAnswer: -4\/1283787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -5 - -6 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2 + 8*j + 6. Let p be d(-3). Solve -20*m + v + 13 = -p*m, 3*v + 11 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33858.38 to the nearest 10.\nAnswer: 33860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23 + 20*b**5 + 58*b - 178*b**5 - 59*b wrt b.\nAnswer: -3160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 5*w**2 - 7*w + 4. Let b = 318 + -314. Calculate z(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1965029326?\nAnswer: 2, 13, 75578051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2, 227\/2, -0.03, 2\/11, -2\/9, 1?\nAnswer: 227\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -32. Let d be ((-63)\/(-147) + 220\/p)*3. Suppose -2*z - 22 = -4*m - 0*m, 2*z = -4*m + 2. Solve -c - 2*l - 11 = m*l, 2*c - 3*l = d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -43 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9873280.\nAnswer: 2, 5, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 0 - 45\/4*i**2 + 25\/2*i - 1\/4*i**4.\nAnswer: -i*(i - 5)**2*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n + 3*n**2)*(1152*n**2 + 1277 - 86*n + 84*n - 7*n**3 - 1152*n**2).\nAnswer: -21*n**5 - 6*n**3 + 3831*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2936855 divided by -5?\nAnswer: -587371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/27480 and -43\/16.\nAnswer: 54960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 173266 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 135 and 0.8.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11840 divided by 16?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 112*p**2 + 611*p + 55490. Determine u(-111).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*b - 29 - 511 = 0, 0 = 4*z + 2*b - 2160. What is the highest common divisor of 60 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-143)\/(-77) + 1 + -3. Let f be -5 + 166\/34 + 2\/17. Which is the fourth smallest value? (a) g (b) 4 (c) f (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b**2 + 2*b**3)*(-1312*b + 4 + 1313*b - 2).\nAnswer: 2*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 193476 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 356 and -193.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011112 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 63, 133, 207, 285?\n\"Answer: 2*v**2 + 64*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 1, v: 2, e: 4, d: 10}. Give prob of picking 1 d and 1 e.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n**4\/5 - 333*n**3 - 116742*n**2\/5 - 33948*n + 114264\/5 = 0. Calculate n.\nAnswer: -138, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -332*o + 91638. What is w(276)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.15, 3.3, -141, -2\/3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6)*12\/1. Suppose -b*v + 36 = -v. What is the remainder when 1\/(3\/3)*v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*x, v + 5*x = -3*v - 63. What is the common denominator of 151\/6 and 5\/(-2)*v\/30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.38 (b) -81 (c) 7\/5 (d) -0.04 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -440556.1 times 0.2\nAnswer: -88111.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 4)*(0*g - g + 0*g) - 6*g + 1 - 1)*(16*g**3 - 7*g**3 - 10*g**3).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihiswashp. Give prob of sequence iaip.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 (base 10) in base 14?\nAnswer: 6c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882 a factor of 9775108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -6*1)*(-1155)\/(-770). Let h be (2 - 4*1) + 5. Let l(n) = 4 + 4*n**h - n + 3*n**2 - 2*n**3 - n**3. Determine l(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - 415?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 - 56614*u**3 + 113222*u**2 - 56610*u.\nAnswer: 2*u*(u - 28305)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265427 + 106001 = -18*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222 - -12?\nAnswer: -10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 20, 409559 in decreasing order.\nAnswer: 409559, 35, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 7}. Give prob of picking 1 r and 1 x.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00200449401 rounded to 5 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8 + 14*o**2 + 33*o**4 - 7 + 15 wrt o.\nAnswer: 792*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 316116717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c57 (base 13) to base 3.\nAnswer: 12220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24638 is divided by 194.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*f + 2*f**3 + 2*f**4 + 346*f + 46*f**2 - 177*f as o*f**3 + h*f**4 + q + p*f**2 + l*f and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5327495957 to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l - 7. Let h(k) = 13*k - 4 - 60*k + 42*k. What is 11*h(n) - 6*w(n)?\nAnswer: 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 4504941272899?\nAnswer: 4504941272902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**3 + 13642*v**2 + 5477*v wrt v.\nAnswer: -18*v + 27284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -g - 0*a - 3, -3*g = -4*a - 6. Suppose -g = 4*h - 70. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 232937 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2023 - 2291.8. Let q = -269 - r. Which is the closest to 1? (a) -0.5 (b) -1\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**2 + 9*q + 8. Let i(f) = 4*f**2 - 8*f - 9. What is 6*g(n) + 7*i(n)?\nAnswer: -2*n**2 - 2*n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2016 and 378?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + 6*w - 6. Let z be h(1). Solve -2*n + 6 = -2, 4*n = -z*u + 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5869038*12\nAnswer: 70428456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -41, -17, 29, 103, 211, 359, 553?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11218? (a) -8\/9 (b) 0.4 (c) 1\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**3 + 2*z**2 + 2*z + 2. Let t(s) = -11*s**3 + 7*s**2 + 7*s + 5. Let u(v) = -7*n(v) + 2*t(v). Let w(g) = 13*g**3 - 9. Determine 9*u(f) - 4*w(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68 + -59047.\nAnswer: -58979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -242 in -0.7, 0.01, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -1\/3 (c) 0.3 (d) 110\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 4. Let u(z) = -z - 3 + 2 + d. Let m(n) be the second derivative of 3*n**3\/2 + 13*n + 14. What is u(m(o))?\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-15) + (-4)\/10. List the prime factors of -15*1*4\/y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 4*x - 3 - 6*x)*(2*x + 1 - 1).\nAnswer: -16*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**2 - 5*h**2 - 11*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 3 - 8*u**3 - 22.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29304 - -30049. What is the highest common factor of 10281 and s?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*t + 27*t + 43*t + 28*t in the form u + i*t and give i.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -41597 - -6.05\nAnswer: -41590.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/((-1)\/2*-2). Suppose 3*v - r + 8 = 4*r, -3*v - 3*r + z = 0. Let o be 9*-3*v\/18. Let y(u) = u. Give y(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.6839 in -0.4, -1, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**7\/840 - c**6\/120 - c**5\/30 + c**4\/4 - 25*c**3\/3 - 36. Let d(v) be the third derivative of p(v). What is d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 87*h**2 + 175*h + 3. Let n be c(-2). Put n, 0, 12, -1, 4 in ascending order.\nAnswer: -1, 0, n, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p + 4*v - 433, 0 = -p + v + 83. Suppose -4*b - 43 = p. Which is greater: -31 or b?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**4 + 175356*z**3 - 319912*z.\nAnswer: 12*z**2 + 1052136*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*253615519.\nAnswer: -1268077595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 + -194. Which is the second smallest value? (a) -0.3 (b) 1\/7 (c) t (d) 163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*j - 42 = 5*u, 159 = 5*j + u. Let y = -19 + j. Calculate the highest common factor of 60 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*z + 2*z - 5*z)*(-1 + 5 - 3) + 0*z - 3*z + 2*z)*(-4 + 10 - 7)*(-4*z**2 - 2*z**2 + 2*z**2) to the form u*z**2 + x + a*z**3 + b*z and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116144 (base 9) to base 11.\nAnswer: -48742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5) + (-32)\/(-20). Solve -2 = -u*o - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqiqqffqf. Give prob of picking 2 q and 2 f.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o + 18 = 0. Suppose -j + 221 = 16*j. Let z = o - j. Solve -z*t = -t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1968053 - -177127247\/90. Let r = 13856\/225 + -1134\/25. Let t = r - p. Calculate the common denominator of -85\/16 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (sqrt(432) - (sqrt(432) + 1)*1))*4.\nAnswer: 4 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 = 4*x - 5*i, 2*x - 30 = -3*i. Let r be ((-3)\/x)\/((-3)\/6). Factor -r*v**2 + 0 + 1\/3*v**4 - 1\/3*v**3 + 1\/3*v.\nAnswer: v*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-4 + 13*(-6)\/(-18))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(304) + (-5 + sqrt(304)*1)**2 + sqrt(304)*1 + -1).\nAnswer: -160*sqrt(19) + 1640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 16 = -41. Let j = 6 - 7. What is the closest to j in w, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 2 = 7*c. Let l be c\/(-3)*(-58 - -4). Let u be (-1)\/((l\/4)\/(-9)). Solve -5*q - 10 = u*z, 7*z = 2*q + 4*z - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 + 2 + -28 + (-25 - -28 - -32)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Suppose -i + b = -4*t, -i - t + 0*t = 7. Let j = -3 - i. Solve -j*c + 0*c = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55541 + 55547. Let q(n) be the second derivative of n**4\/24 - 5*n**3\/3 + n**2\/2 + n. Let s(l) be the first derivative of q(l). What is s(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 - 18*a**5 - 47*a**4 + 20*a**5 + (6*a**2 - 4*a**2 - a**2)*(-a**3 + 6*a**3 - 4*a**3).\nAnswer: -a**5 - 47*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41, -61, -81, -101, -121, -141?\n\"Answer: -20*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*v - 12, 4*v - 4*y - y = -41. Let r(x) = 2*x**2 + 5*x - 3. Let h be r(v). Solve -4*z + 20 = -h*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4393539 is divided by 7681.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5234245.\nAnswer: 5, 1046849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*v = 14, 2*n - v = -0*n + 18. Solve 0 = 2*o - 0 + n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644890 divided by 5?\nAnswer: 328978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 2\/290161589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46459, 92919, 139379, 185839, 232299, 278759?\n\"Answer: 46460*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j - 79 = 91 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80\/9 or -9?\nAnswer: -80\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00370948 minus 0.01458?\nAnswer: -0.01087052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 8*m**2 + 51*m - 30. Let o be f(12). Let j(r) = r**2 - 11*r + 26. Calculate j(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60a566 (base 11) in base 4?\nAnswer: 3233111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 8:07 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -0.41. Let s = 31 + -22. Let k = s + -9.3. What is the second biggest value in x, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 34*w - 568128 = -2*w. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.03 - 0.982. Let v = w + -3.378. What is v rounded to 1 decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:35 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2855242 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5068.2 in -0.1, -2\/15, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12630312 + 4692*q**3 + 12630312 + (-2*q**2 + 0*q + 0*q)*(2*q - 4*q + 4*q).\nAnswer: 4688*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + o**2 + o + 12. Let j be y(12). Let n = -571 - j. Suppose 5*l - 546 = n. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*y + 1965 = -37*y + 11*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14373 is divided by 43.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2361277 by -5.\nAnswer: -2361277\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 149011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 303515076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-4 + 0 - 1)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/95)\/((-3)\/(45\/2))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105928365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.54 - -9.54. Put j, 3, -0.2, -0.6 in descending order.\nAnswer: 3, -0.2, -0.6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Suppose -2*p - 2*p = 0. What is the units digit of p - (-6 - (g + 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(30\/(-34)) - (-9 + 5). Which is the second biggest value? (a) 5\/4 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 12*r + 10. Calculate t(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 405 - 408 + 0*m**3 - 4*m + 3*m**3. Suppose 0 = -2*o + 3*w - 10, o + 2*w - 10 = 4*o. Calculate v(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289 + 55 - 3 + 3*u.\nAnswer: 3*u - 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180*p*v**2 + 4002*p - 45*v**4 - 721*v**3 + 262*v + 1 wrt v.\nAnswer: -360*p - 540*v**2 - 4326*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.6 + -0.4. Let y = 897.3 - 854. Let r = f + y. What is r rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00271283 to 4 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + 6243?\nAnswer: 6302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1617\/(-9))\/(-1) - -1. Let z = u + -179. What is the closest to -1 in z, -1\/6, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1407 and 163882.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21808.11 + 21808. What is the second biggest value in f, 11, -33?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*k**2 + 22*k**2 + 25*k**2 + 29*k**2 + 19*k**2 + 21*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1121, -1739, -2357?\n\"Answer: -618*p - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35534 = 23*c - 43931. List the prime factors of c.\nAnswer: 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49191, -49350, -49509?\n\"Answer: -159*h - 49032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8581 + -8473. Let t(i) = i**3 + 8*i**2 + 5*i + 6. What is the remainder when v is divided by t(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u - 45. Suppose 5*y + 14 = -11. Let a be n(y). Solve a*o = -o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 equal to 1503.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 118.1 and 0.4.\nAnswer: 118.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -121*q**7\/210 + 37*q**4\/12 - q**3\/3 + 2*q**2 + 100*q. Find the second derivative of w(z) wrt z.\nAnswer: -1452*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32231200101 - 301?\nAnswer: -32231201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -114, -227, -364, -513, -662, -799?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -90, 12, 3, -5, 0 in decreasing order.\nAnswer: 13, 12, 3, 0, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 6*v - 13. Determine x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -315*r. Let q(p) = -108*p - 2. Give s(q(l)).\nAnswer: 34020*l + 630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-7) - -5) + 6\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94942101 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 15832ea?\nAnswer: 15832e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:55 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*((-32)\/(-12) + (-2 - 0)). Which is the third smallest value? (a) 42 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 4*i + 2. Calculate m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.0067.\nAnswer: 0.00335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*p + (2*p + 4*p - 5*p)*(-1 + 3 - 3))*(4*p**4 + 0*p**4 - 2*p**4).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 526 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*12\/(-15))\/((-16)\/(-120)). Let k(d) = -3*d - 15. Let x be k(-5). Suppose x = 5*j - 7*j - 16. Is f bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -10. Suppose 0 = -p*a + 3*b + 42, 3*a - a + 2*b = 20. List the prime factors of (2 - (-128)\/a)*3.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 0.3, -87, -0.1, 1\/5, -3 in descending order.\nAnswer: 0.3, 1\/5, -0.1, -3, -58, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:00 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31702 + -33621.3. What is d rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z**2 + 10*z**2 - 73*z - 35*z**2 + 4*z**2 + 3*z**2 as b*z**2 + q + n*z and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 5. Suppose 0*j + 2*j + 10 = 0. Let h be n(j). Sort h, 1, 0.\nAnswer: h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16886 + 69664. What is the ten thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -194.121?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 421*t**2 + 39576*t + 186. What is b(-94)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and (-66)\/(-4)*(-2)\/(-1).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 108655816199 and 7.351.\nAnswer: 108655816206.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15547 = -g + 4*l, -g + 2572 + 12930 = 5*l. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 42*j. Let c(z) = -107*z + 198. Calculate c(g) + 3*u(g).\nAnswer: 19*g + 198","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209 + 84. Suppose -4*d + 861 - r = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3040 is divided by 248?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(832)*1)*2 + -4*((0 + -2*sqrt(13) - (sqrt(65)*-2)\/sqrt(5))*-2)**2.\nAnswer: -6 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 29\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 12:53 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -8, -36, -5 in increasing order.\nAnswer: -36, -8, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 47 = 38. Suppose 3*v = 2*r + 11, -6 = -4*v - r + 5. Solve -k*y - 21 = -3*z, 16 = -v*y - y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c3ac2 (base 14) in base 8?\nAnswer: 1630472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 j when three letters picked without replacement from {m: 4, f: 1, j: 7, g: 1, w: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 23.\nAnswer: 13\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 846 and 796509?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {p: 1, z: 1, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - ((-3 - (-7 - -4) - -11) + 130 + -135)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.3 (b) -1.3 (c) 2\/19 (d) -2\/9 (e) 4 (f) -90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1534\/260 + 2\/20 - (-28)\/(-3)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17830300.9999993 + -17830298. Let p = r - 3. Round p to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnnlilibhheehee. What is prob of sequence ei?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -220762.4 rounded to the nearest 1000?\nAnswer: -221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/39)\/n**17*n\/(n**17*n)*n*n*n*n\/n**(-2\/13) assuming n is positive.\nAnswer: n**(-1165\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 29*p - 16. Let x be r(14). Let z(i) be the third derivative of -i**6\/60 - i**5\/60 - i**4\/24 + i**3\/6 - 3*i**2. Is z(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 (base 12) in base 7?\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1510 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1 + (-15)\/(-12)). What is the third derivative of 2*z**5 + 2*z**2 - 9*z**5 + h*z**5 wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 10 = 3*k. Suppose 0 = k*v - 60 + 20. Let a = v - 11. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 165, -10.\nAnswer: -10, -3, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733 - 242 - 247 - 356*r**2 - 243.\nAnswer: -356*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 43516 in decreasing order.\nAnswer: 43516, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(171)*-1 + sqrt(171) - sqrt(171))*4 - sqrt(171)) + sqrt(171) - sqrt(171)))\/(6*-1*-1*sqrt(9)).\nAnswer: 25*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15 + 76 - 22 - 279*j - 6*j with respect to j.\nAnswer: -285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005123900 rounded to the nearest one million?\nAnswer: 1005000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -2393990\nAnswer: -239399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 40445097 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143290663 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -519778, -520769, -521760, -522751, -523742, -524733?\n\"Answer: -991*d - 518787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472065 to the power of 1\/2, to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-324)\/(-45))\/(1\/5). Let f = 15 - v. What are the prime factors of 28\/f*18\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 67 + 97. Let p(j) = 136*j + 29. What is the units digit of p(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10.543 and 0.1.\nAnswer: -10.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21 - -2.79\nAnswer: 23.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -102, -196, -288, -378?\n\"Answer: o**2 - 97*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 6*p + 23. Let y be w(-3). Sort -2\/5, 0.7, y, 3 in decreasing order.\nAnswer: 3, 0.7, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from pbttbftut.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102235*w + 102233*w - 34 = -2*o, 4*o = 7*w + 83 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 10:48 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, j: 5, c: 2}. What is prob of picking 1 j and 1 y?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 23 = 4*d, k + 6 = 5*d + 1. Solve -k*n = 6*n - 44 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1438, -2 in decreasing order.\nAnswer: -2, -5, -1438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 448382383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 109. Let l be a(-16). Let o be 28\/21*(l\/(-42) + -2). Factor 4\/7 - 2\/7*g**2 + o*g.\nAnswer: -2*(g - 2)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*f = -3*v + 38, -f = v - 10. Let a be 3\/(-12) - v*2\/(-8). Suppose 0 = -0*w + 3*w - 4*x - 59, 2*w = -a*x + 16. Solve -4*m - w = 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8992 != -8992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 4:26 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2 - 82*h + 2613. Give z(-38).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1. Let x(v) be the second derivative of -v**3\/2 - 14*v. Let u(f) = o(f) + x(f). Let i = -10 - -14. What is u(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - d + 9. What are the prime factors of r(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/14*(-2)\/(-1). Is 1*30\/2 - l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65535250 divided by 595775.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999689 is divided by 9256.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1243.662 + -1243.4740318. Let s = 0.17996731 - t. Let o = 0.008 + s. Round o to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25\/2, -0.1, -4, -2, 4\/15, -0.4, 5\/4?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -33*m - 72. Let w be l(-2). Let s(y) = y**3 + 6*y**2 - 2*y - 5. Determine s(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -6)*-3*2. Let i be 6\/(-4) + 39\/s. Suppose 5*g = 2*g. Solve 2*q + g*j - 4 = -5*j, -i*q - 4*j + 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/(-165))\/(2\/27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95554994285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/1 - 7\/(-2). Let n = 8162.7 - 8164.7. Suppose -q + 0 = -5. Which is the third biggest value? (a) q (b) -4 (c) n (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (516570\/68876)\/(50\/4*(-2)\/(-40))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 2. Let j(k) be the second derivative of k**6\/720 + k**5\/120 - 5*k**4\/4 - 6*k. Let x(s) be the third derivative of j(s). Give -n(q) + x(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 - -42. What are the prime factors of n?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*c - 18, 3*w + 8*c - 4*c = -17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a microsecond in nanoseconds?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 764 divided by -1018.\nAnswer: -382\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2500 (b) 3\/5 (c) -1049\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -192 - 18. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000806841 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105214*a - 7867*a - 26494*a.\nAnswer: -139575*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 301470 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -350 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*g - 142 wrt g.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 20 = -5*b, 4*b - 3*b = -2*l - 1. Let r(j) be the first derivative of 4*j**3\/3 - j**2\/2 + j - 2. Determine r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by -2226.\nAnswer: 64\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 11, 2 in increasing order.\nAnswer: -3, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -495118.47 rounded to the nearest one thousand?\nAnswer: -495000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i + 1. Let u be l(-2). Let o(k) = k - 2*k + 0*k - u. Let r = -67 + 61. What is o(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 39 - 25601*q**2 - 43.\nAnswer: -25601*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. What is the remainder when -48*2*(-2)\/12 is divided by j(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.446*0.1\nAnswer: -0.0446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) - (2 - 2). Let a = 2.299 - -2.701. Suppose 0*o = 3*f - 2*o - 7, 0 = 3*f - 5*o - 13. What is the third biggest value in f, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Let f be (-10)\/3 + 2\/(-3). Let l = -3 - -8. What is the closest to 1 in u, l, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 + 22862*d**2 + 2*d - 91448.\nAnswer: -(d - 45724)*(d - 2)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -863*j - 2 - 971*j - 50*j + 131*j.\nAnswer: -1753*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**7\/420 + v**6\/45 - 17*v**5\/120 + 13*v**4\/24 + 5*v**3\/3 + 17*v**2. Let z(i) be the first derivative of b(i). Is z(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 7*j - 5355, 7471 = 5*i - 3*j - 5855. What is the remainder when i is divided by 242?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2\/7 + 78574*g\/7 + 8018859 = 0.\nAnswer: -77853, -721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:13 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -48, -34, -1, -5 in descending order.\nAnswer: -1, -2, -5, -34, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 + 4 = 0. Calculate the remainder when m is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/497 - -505\/1988. Let w = 17.2 + -22. Let q = w - -5. What is the nearest to s in 4, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*p - p. Let b(f) = -2*f**3 + 20*f**2 - 463*f + 4002. Let l be b(9). Let v(q) = -6*q + 2. Let u(n) = -5*n + 2. What is l*v(i) + p*u(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.401? (a) 0.1 (b) -25 (c) 1\/8 (d) -3\/2 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/112*(1 + 1 + -4). What is the nearest to z in -0.2, 0, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 2. Let p be w(-7). What is the greatest common divisor of p and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 17 = 12. Calculate the remainder when 11739\/(-1183)*26\/(-3) is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6083 + 6084. Put -22, -4, -5, z, 15 in decreasing order.\nAnswer: 15, z, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6*n = 2*n - 22, -h - 4*n - 13 = 0. Let u be ((-2)\/h*-3)\/(4\/(-12)). Factor 3 + 2*d + 1\/3*d**u.\nAnswer: (d + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-11)\/22)\/(1*5). Which is the nearest to -1\/2? (a) m (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -5*q - 7, 95 = 4*q - w + 121 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2046\/24755 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 2:18 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2697 (base 13) to base 11.\nAnswer: -417a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.772502 millilitres?\nAnswer: 0.008772502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 + 104 = 2*v - 5*q, 4*v + 6 = -2*q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 27*v - 47. What is p(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 106, 209, 312, 415, 518?\n\"Answer: 103*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 + -21000?\nAnswer: -22102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463734.8km to meters.\nAnswer: 463734800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7387647029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 3.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 379076 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -193.09 to zero dps.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-14) + 15015\/15925)\/((-28)\/(-30)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yey when three letters picked without replacement from eyyyyyyy.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 2*y - 12 = 2*b, 3*b - 23 = 2*y. Suppose -58*j = -1541 - 1069. Calculate the greatest common factor of j and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1006 - 208 = 224*l - 1666 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - (2 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - l = 33 - 14, 0 = -3*z + 4*l + 24. Let h(b) = -b**2 - 8*b - 9. Let m be h(-7). Let y be (1 + m)\/(7\/(-35)). Solve -y*j - 14 = -z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(930\/(-132) + 7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3544 + 223651?\nAnswer: 220105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*0.021.\nAnswer: -0.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**3 + 27612*b**2 - 55236*b + 27620 = 0.\nAnswer: -6905, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**6\/120 + 3*s**5\/20 + 7*s**4\/24 + s**3\/2 - 2*s**2 - 2*s. Let t(g) be the first derivative of m(g). Is t(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82782, -165564, -248346?\nAnswer: -331128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 + -1 + 0 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/10)\/(1\/10). Suppose 0*r + q*r = 53612. Let l = 241367\/18 - r. What is the common denominator of -101\/6 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15260, 61219, 137818, 245057, 382936, 551455?\n\"Answer: 15320*i**2 - i - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - -3. Let t = -5 + u. Let p be (-1)\/3*72\/(-3). Solve d + 0 = -4*z - t, -p = -4*z + 3*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720022581 and 3.\nAnswer: 720022581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 31884637?\nAnswer: 39\/31884637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 9227413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:08 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 305*b + 2927. Let n be f(68). Which is greater: n or 23668?\nAnswer: 23668","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 70*m - 273. Give j(31).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/4 - 5*z**4\/3 + 25*z**3\/6 - 5*z**2 - 11*z. Solve d(m) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let b be (-2 + 8)*12\/18. Suppose -b*m + 14 = 2. Solve m*r + 0*r = d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 divided by 4?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 57*q**2 + 81*q. Let k be r(27). Solve k = -20*z - 55 - 85 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42220 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 338 + -336. What is the units digit of (-1 + u)\/(8\/1088)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2449 - -335511\/137. Let y = 401\/685 - d. Which is the smallest value? (a) y (b) -1 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94*((-20)\/(-144)*-6)\/(40\/6).\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3.3. Let y(l) = l + 15. Let p be y(-14). Suppose -3 = 5*k - 4*k. Which is the closest to p? (a) u (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smstttmsmstmsm. Give prob of picking 3 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 l when four letters picked without replacement from {x: 2, n: 2, m: 3, e: 4, l: 6}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 2:18 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/3 - 69325*h**2\/3 - 1203669667*h\/3 - 25185429381 = 0. Calculate h.\nAnswer: -34631, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 458568 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -0.2, 1, -53312, 12\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2237 + 13245 = 16*p. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d5 - -469b4b?\nAnswer: 469c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-2) + -3 + 6. Let f(l) = z*l + 2 - l + 17 - 3. Let x be f(9). Is x < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 5 - 7 - 14)*(s**4 + s**4 - 9*s**4).\nAnswer: 245*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**6\/120 - c**5\/10 - 7*c**4\/24 + 2*c**3\/3 + 17*c**2. Let a be s(-4). Solve -f = -4 - a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmtgpptggmgzt. What is prob of picking 1 p, 1 z, 1 m, and 1 g?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2619, 10953, 24827, 44235, 69171, 99629, 135603, 177087?\n\"Answer: -h**3 + 2776*h**2 + 13*h - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/25)\/(k\/k**36))**(-30) assuming k is positive.\nAnswer: k**(-5262\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 - (-4)\/((-12)\/9). Suppose d + q = 1, 101 = -3*d - 5*q + 98. Solve g = -2*v, d*v + 11 = 4*i - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -543.724 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 2 - 2 - 265*v + 265*v + 68*v**3 + (-3*v**2 + 2*v**2 - v**2)*(10*v + 5*v - 13*v).\nAnswer: 63*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 less than 134421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -45*b**5\/2 - 1305*b**4 + 2670*b**3 - 5380*b**2\/3 + 400*b = 0?\nAnswer: -60, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(76))\/sqrt(4))**2 + sqrt(19) - -4*(2 + sqrt(19)).\nAnswer: 5*sqrt(19) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 2*k + 3*k + 65, -2056*d - 5*k - 155 = -2049*d - 2*k for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18205, -18219, -18279, -18409, -18633, -18975?\n\"Answer: -4*z**3 + z**2 + 11*z - 18213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/5 (b) -1\/7 (c) -26 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-25 - -87) + -27?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/2)\/(s\/(s\/(s\/s**(-5))*s)))\/((s\/(s\/((((s\/(s*s*s*s**0))\/s)\/s)\/s)))\/s*s\/(s\/((s*s**(-3\/8)\/s*s)\/s))))**(-36))**(-30) assuming s is positive.\nAnswer: s**945","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46131\/123016*(-160)\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34\/15 - -33\/5. Suppose -4*c - 6*r = -2*r - 56, -5*c + 64 = 2*r. What is the common denominator of (-2910)\/c*1\/(-20) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 14*t + 2. List the prime factors of l(9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5596566?\nAnswer: 2, 3, 932761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62612427, 62612429, 62612433, 62612439, 62612447, 62612457?\n\"Answer: x**2 - x + 62612427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2380 divided by -340.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 11. Suppose 33 = d*y + 2*w + 3*w, 5*y - w - 5 = 0. Let v be 3 - y*(2 - 3). Solve 3*n = -2*b - 6, -4*n - 1 = v*b - 0*n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*w - 6*w + 902 - 901 - w - 2 + 2 + 2*w - 3*w + 2*w + (2 - 4 + 3)*(w + 0*w + 0*w) - 4*w + 2*w + 3*w.\nAnswer: -17*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a7c2b (base 13) to base 5.\nAnswer: 133034342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 55. Let g = -80 + j. Which is smaller: -43 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3244243344 (base 5) to base 15\nAnswer: -93b684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50345.21 years in millennia?\nAnswer: 50.34521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Let d be (-3)\/(-6)*(-2 - -2). What is the second derivative of s*b - 2*b - b**3 + d*b**3 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. Let m(d) = -d**2 - 6*d + 6. Let f be m(-6). Let n = p + f. Calculate the lowest common multiple of 9 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5 = 0, 4*x - 2*r - 49 - 637 = 0. Calculate the remainder when x is divided by 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 25*x**4 + 54*x**3 - 24*x**2 - 26*x + 7. Let j(k) = 38*k**4 + 107*k**3 - 47*k**2 - 53*k + 13. Let a(n) = -5*h(n) + 2*j(n). Factor a(g).\nAnswer: -(g + 1)**2*(7*g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3101, 2680, 1953, 914, -443, -2124, -4135?\n\"Answer: -z**3 - 147*z**2 + 27*z + 3222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.3, 418 in increasing order.\nAnswer: 0.3, 0.5, 418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 67*x**3 - 6*x**2 + 5*x + 12. What is u(2)?\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -42*u**3 + 2*u**2 - 19*u + 2. Let l(z) = -41*z**3 + 3*z**2 - 20*z + 3. Let i(k) = 2*l(k) - 3*p(k). What is the second derivative of i(y) wrt y?\nAnswer: 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30375884 minus 0.1925?\nAnswer: -30375884.1925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*j**5\/5 + 61828*j**4\/5 + 312176*j**3\/5 - 1385468*j**2\/5 + 1047224*j\/5 - 35648\/5 = 0. Calculate j.\nAnswer: -8, 1\/28, 1, 2, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyt when three letters picked without replacement from nftoffntffnfy?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*w + 229*w + 126 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 97*n + 154 - 6*n**2 - 2*n**2 - 246 + 92.\nAnswer: -8*n**2 - 99*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -842, -837, -820, -785, -726, -637, -512, -345?\n\"Answer: i**3 - 2*i - 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 100010101100?\nAnswer: -100010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - l**2 + 0)*(169*l**2 - 172*l**3 - 169*l**2) - l + l + 2*l**5.\nAnswer: 174*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119862 and 48996.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -0.2 (c) 1\/7 (d) -12 (e) -52 (f) 0.3 (g) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 24\/85 (c) -11 (d) 22 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -23*p + 442. Let b be l(18). Put b, -2, -5, 2 in decreasing order.\nAnswer: b, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62557 and 329?\nAnswer: 437899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipppppipppussppuuppp. Give prob of picking 2 u and 2 s.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 - 13*d**2 - 127 + 328 + d - 4*d**4 - 101 - 98 as s*d + n*d**2 + u*d**3 + i*d**4 + f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -134.7681251?\nAnswer: 133.7681251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*t + 2348 = -1757 + 839 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 621.34644 times 0.2\nAnswer: 124.269288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -322 + 191. Let i = -33 - g. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 99223 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 + 1223*l**2 + 13*l**3 - 6*l**3 + 3128*l**2.\nAnswer: 2*l**3 + 4351*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 - 325*d - 320 = 0 for d.\nAnswer: -64, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**3 + 25*c**2 - 22*c - 48 = 0?\nAnswer: -1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f = 5*d + 4270, 2*d - 2587 = -3*f. Differentiate 9*q**4 - 859*q**3 + f*q**3 + 5 wrt q.\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -5*o. Let w = 29308\/5 - 5862. Which is the nearest to w? (a) 3\/10 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-660)\/(-176) - 1*5. Are h and -63 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -9. Suppose w*j + 28 = 4*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 23 = -3*m - 93, 2*z - 54 = -4*m. Let n = -12 + z. Solve -2*o - 2*f + n = 1, 2*f = o - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2772067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809672?\nAnswer: 2, 101209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -74*n + 3. Let x(k) = k + 5. Let g be x(10). Suppose -2*s = -5*s - g. Is t(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1220 + 1220 + 40*r**2 + 3*r**2 - 5*r**2 - r**2 + (1 + r - 1)*(-3*r + 4*r + r) to o + m*r**2 + g*r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9800\/(-2744)*2\/(-10)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -365.\nAnswer: -2\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - 4*y**2 + 3*y - 17. Let r be n(-4). Solve -37*u + 4 = -r*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 9. Let m = -20 + 24. Let q = m + -9. Which is the third biggest value? (a) q (b) o (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-549)\/(-18) + 3\/(-2). Suppose j = n - 166, -5*n = -j - 137 - s. Let w = j - -329. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 187?\nAnswer: 37\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 68*v**2 + 130*v - 163. Calculate g(-66).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 22.808?\nAnswer: -45.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 15*p - 14. Let q be y(-16). Let h = -0.08 + -0.52. Let m = 1.6 + h. Which is the second smallest value? (a) -1 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -1812, -4086, -7276, -11388?\nAnswer: -16428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzt when three letters picked without replacement from {t: 4, z: 2, q: 1, a: 1, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i - 16. What is the units digit of k(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2498225000 to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v + 103*v = -696 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235 - -561. Suppose 4*q - 239 = 85. Suppose 4*k + w - n = 0, -7 = -k + 3*w + q. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 0, 0.3, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(3\/14)*w\/w**19*(w**2)**(3\/40))**(1\/9) assuming w is positive.\nAnswer: w**(-2389\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 309912661.376683 + -522323199.37675. Let u = n - -212410448. Let x = u + 90. Round x to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 15) in base 4?\nAnswer: 13010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105.7 + 95.7. Sort -0.2, i, -1.\nAnswer: i, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 46. Suppose 4*j = -f*p - 40, -p + 49 = -5*p + 5*j. Put 0.3, -0.3, p, 0 in ascending order.\nAnswer: p, -0.3, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 864.38 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/43 - 8044668786\/(-8686) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4 + 2\/(-4). Let s be (-33)\/12 + 1 + m. Which is the closest to -2\/3? (a) -1 (b) s (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212629892?\nAnswer: 2, 2557, 20789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*t - 45 = 3*t, -f + 21 = 5*t. Let k be f + 0 + 3\/(-1). Suppose -v = -0*v - k. Solve 6*c - c = 4*j - v, -c + 3 = 2*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 242*k - 38010. Determine d(157).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {h: 4, b: 3, u: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 66976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -25149 smaller than -25133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5\/17 - 14*w**4\/17 - 38*w**3\/17 - 50*w**2\/17 - 32*w\/17 - 8\/17.\nAnswer: -2*(w + 1)**3*(w + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*u + 1, -5*u + y = -y + 3. What is the remainder when -9*(58\/(-6) + u) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 5*g. Let t(d) = -d**2 + 4*d + 1. Let u be t(g). Solve -3*h + 3*s + 6 = 0, -u*h + 3*h - s - 11 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -17.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 8:40 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 112564423 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4))**(16\/5))**(1\/9) assuming a is positive.\nAnswer: a**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -117, 1\/4, -0.29, -2, -4?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 6111.\nAnswer: 6111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(192) - (sqrt(192)*-4 + 0)) + (sqrt(192) + (sqrt(192) - (2 + sqrt(192))))*-4)**2.\nAnswer: -512 - 256*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 16*d = 20085. What are the prime factors of d?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1147, 4, 2 in descending order.\nAnswer: 1147, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4136*h**3 - 14*h**2 - 28*h - 90. Let k be r(-5). Round k to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18896858.049471 - -0.5\nAnswer: 18896858.549471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-240)\/72*(-18)\/15. Solve v*s = 3*x + 5, -11*x + 9*x - 4 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -266 - -272. Factor -t - 16*q**2 + 8*q**2 - 9*q + 7*q**2 + 2*q.\nAnswer: -(q + 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*m - 27*m + 4*k + 4510, 5*k = -5*m + 11275. Calculate the greatest common divisor of 41 and m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - 7. Let a = -44 - l. Let c = a - -13. What is the closest to 0.2 in 0.7, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 2 + 105*x - 10*x + 0*x**2 in the form j + f*x**2 + n*x and give n.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3500 is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**3 - 4387173*t**2 - 962365662747*t - 577417818267 = 0.\nAnswer: -438717, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*756\/30)\/((-2595)\/(-4325))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235 + -242. Let l be (-65)\/(-25) + (-12)\/210*u. Solve -m + 12 = 3*w, 4*m - l*m + 28 = 5*w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w + 37 + 41 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 616 + 646 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - -0.24. Which is bigger: f or -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.306 or -362\/3?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 109186 = 13*r. Let t = 12352 - r. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -j - 4, 0 = 2*j + 4*a - 3*a + 11. Let g = -19 - -10. Let q = g - -5. Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = -0*m. What is the common denominator of 354\/9*(-1)\/(-2) and (-17)\/(-10)*(1 - m)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - g - 5. Suppose 4*a + 11 = 9*a - 2*n, 2*n = -6. Let w(s) = 3*s**3 + 2*s**2 - 2*s + 1. Let x be w(a). What is f(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*f - 6, -4*u + 6 = 5*f - 6. Which is the closest to f? (a) -4\/9 (b) 5 (c) -7.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:55 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 times 1\nAnswer: 0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25736 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s + 4*s)*(s + 0*s - 2*s) + (1 - 2*s - 1)*(-74 + 59 + 144)*(0 + 0 - s).\nAnswer: 253*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 738*s**3 - 231*s**3 - 3*s**2 - 250*s**3 + 3*s**2 - 259*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -49311 take away 24166305?\nAnswer: -24215616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = -2*w + 5*g + 323, 0 = -2*w + g + 87. Calculate the remainder when 12781 is divided by w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 47, -0.071, -0.5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1164.\nAnswer: 1\/1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - 164 - 83 + 289 + 12*r.\nAnswer: 12*r - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2223360, 4446723, 6670086, 8893449, 11116812, 13340175?\n\"Answer: 2223363*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39754, 79512, 119270, 159028?\n\"Answer: 39758*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 364299947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 464*b + 1806. Let r be d(-32). What is r rounded to the nearest one hundred?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 85*o + 70. Let g(j) = -4*j**2 - 23*j + 9. Let h be g(-6). List the prime factors of k(h).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2470 + 2480. Solve 4*j - 3*m = -o, -4*m = -176*j + 179*j - 30 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1427*g + 15698. Determine q(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50483166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5646)\/9410*(-750)\/9.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 140267238323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2499*v = 4*k + 2504*v - 246, 3*k - 2*v = 127. Let l(g) = -g + 49 + 12*g - 4*g. Let r(b) = -b - 6. Determine k*r(y) + 6*l(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**8\/840 - x**6\/180 - x**3\/2 + x. Let o(w) be the second derivative of p(w). What is the third derivative of o(j) wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (-4*-3*sqrt(190) + sqrt(190) + sqrt(190) - sqrt(190)))\/(sqrt(30)\/sqrt(48)).\nAnswer: 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (6 - 5) - (-1 - (-2 + 3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/(-6) - (-96)\/72. Sort 3, d, -1 in decreasing order.\nAnswer: d, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8\/21 (b) 196 (c) 3 (d) -0.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -5*o**7\/21 + 19*o**3\/6 - 13*o. What is the second derivative of c(w) wrt w?\nAnswer: -200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + t**2 - t - 2. Let x be j(0). Let s be 1\/5 + x\/5. Let i = 0.1 - 0.5. Which is the nearest to 0? (a) -1\/3 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, b: 8}. Give prob of picking 3 b.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2660976 and 27?\nAnswer: 7982928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*c + 8. Suppose -t + c*t - 144 = 0. Suppose -51 - t = -3*z. What is the highest common factor of z and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497304263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 690230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2603055, -2603046, -2603023, -2602980, -2602911?\n\"Answer: r**3 + r**2 - r - 2603056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 30 (b) 1\/2 (c) 0.2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 33, -3, 0, 64 in ascending order.\nAnswer: -5, -3, 0, 33, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19290.49 and -1.\nAnswer: 19290.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.9, -84, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74863039 divided by 71.\nAnswer: 1054409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 388 = 2*w + 402, -w - 3*r - 11 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2)*x)\/x*x)**44 assuming x is positive.\nAnswer: x**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:38 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/75*(12\/(-14))\/2. Let p = 1093 - 1091. What is the closest to n in 6, -4\/3, p, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230.957 rounded to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:28 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*g + 27, 0 = -2*n + 3*g - 1. Let z be (15\/(-6))\/5*(n + -3). Let t be 0 - ((-56)\/(-12) - 3). Which is the nearest to 1? (a) -3\/5 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*i**3 - 49045*i + 260*i**3 + 98095*i - 49052*i - 541*i**3.\nAnswer: -16*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -3\/5, 183\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1532*i**4 + 891.\nAnswer: 6128*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2109376?\nAnswer: 2, 23, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0653 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)*6 + sqrt(12))\/(sqrt(28)\/(sqrt(175) + sqrt(7))) + (sqrt(3300)*-1)\/sqrt(11) + sqrt(432) + (sqrt(432)*2 + 0)**2.\nAnswer: 260*sqrt(3) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-296)\/(-10))\/((-20)\/(-50)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*a**2 + 3*a**2 - 3*a**2)*(3 - 2 - 2) + 2*a**2 + 2*a**2 - 5*a**2 - 3*a**2 + 0*a**2 - 3*a**2)*(-1 + 1 + 1) as j*a + m + x*a**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 96406*t + 1060458. Calculate v(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(5*2*sqrt(448))**2 + 4.\nAnswer: -223996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15\/7, -0.22, 132?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -251\/3. Which is the nearest to o? (a) 3\/7 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:51 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-11 - 3766\/(-336))*904\/260 and -85\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59067, -118011, -176965, -235929, -294903, -353887?\n\"Answer: -5*d**2 - 58929*d - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m**2 - 38*m**2 + 3 - 3 - 1 + 89*m**2.\nAnswer: 80*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:39 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + -3 + 2 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) + sqrt(495) + -1*sqrt(495) - sqrt(495))*2 + sqrt(495))\/((sqrt(77)*-2*-2 + sqrt(77))\/sqrt(7)).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6*h + 11*h + 6)*(4*h + 0*h - 3*h).\nAnswer: 5*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/376 and 83\/50542578.\nAnswer: 202170312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 23*f**2 - 2*f - 3. What is the units digit of q(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 57*w**2 - 5*w - 14. Let v be s(8). Suppose -222 + v = -6*u. Let r = u - -291. Round r to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*t - 6 - 18*t + 42*t)*(2*t**2 + 2 - 2) to the form s*t**2 + i*t**3 + v*t + o and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:51 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24400593 or -0.06?\nAnswer: -24400593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1096)\/(-3)*9\/6. Let w = -92 - -247. Let x = a - w. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2183 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: 23270 * 4719\nAnswer: 109811130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/7 = 0. What is u?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 9*d**2 - 2*d - 13. Suppose 27 = -k - 2*k. Let b be r(k). Suppose n + 3*n = -l - 11, n + b = -l. Put n, -5, -15 in ascending order.\nAnswer: -15, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3845125 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 62*f**2 + 1231*f + 8079. Give a(-30).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 34 = 3*d. Calculate the smallest common multiple of d and 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -48*o**5\/5 - o**4\/4 + 89*o**3\/3 - 99. What is the third derivative of b(y) wrt y?\nAnswer: -1152*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x = 30. Let k = 4 - 4. Suppose k = z - 14 - 15. Calculate the remainder when z is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -99*((-108)\/(-45))\/(18\/(-40)). Suppose -8*s + 464 + x = 0. What is the highest common factor of s and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/528)\/(28\/(-16)*42\/147)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39613.\nAnswer: 7, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, -4, -6\/5, -34, -0.3?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 0.3. Let z = -0.56 - -0.5. Let y = 0.24 - z. Does c = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-14)\/210)\/(3\/18)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(2430))\/(sqrt(200)\/sqrt(5)) + (sqrt(216) + 2*sqrt(216))\/(sqrt(8) + 1*sqrt(32) - sqrt(8)))*6.\nAnswer: 5 + 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 580 by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1451, 1366, 1279, 1190, 1099, 1006?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*6*(((0 + sqrt(204)\/((sqrt(96)*-3 - sqrt(96))\/sqrt(8)))*5)**2 + 2).\nAnswer: 4113\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213723 is divided by 399.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-12)*29\/(3915\/120).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (86 - 36) + -41 + (0 - 22) - 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164 - -104. Calculate the common denominator of -13\/16 and -3*(a\/(-8) + 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 184092*c - 1288520. Calculate f(7).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -68\/7*u**2 + 100\/7*u - 48\/7 + 17\/7*u**3 - 1\/7*u**4 = 0.\nAnswer: 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 413 - 797. Let j = z - -539. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h + 189. Let d = 225 + -233. Is 13 a factor of d\/(-20) + h\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 80\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 8114932.\nAnswer: 1\/8114932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*b + 4*b = -125928. Calculate the greatest common divisor of b and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 533.3 or 10?\nAnswer: 533.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7)*y*y*y)**(-48)*((y**0\/y*y)\/y)**(-7))**48 assuming y is positive.\nAnswer: y**(-50640\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2448) + 0).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + s + 44 = 0, 2*r - 5*s - 16 = -s. Let l be 2*(-1)\/8 - (-148)\/r. Let f be (4\/l)\/(3*(-6)\/(-81)). Solve -8 + f = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -4 - 9\/40*z**6 + 0*z**2 - 3\/10*z**5 + 0*z - 1\/6*z**4 + 2*z**3. Let l(q) be the third derivative of r(q). Factor l(v).\nAnswer: -(9*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + w + 6. Let f(m) = 7*m**2 + m + 1. Let s be f(w). Let a = 44 - s. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**3 + n**3 + 6*n**3 + 11*n**2 to the form l*n**2 + a*n + s + w*n**3 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.1 + -7. Let t = 163 - 91. Let c = t - 75. Which is smaller: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2335000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*h)*(-3 + 2 + 2) + 0*h + 4*h + 0*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4399237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/5)\/((-54)\/60)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/((-11)\/(72\/30 - 2)). Is 0 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r + 10. Let t = -24 + 18. What are the prime factors of o(t)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpkb when four letters picked without replacement from oobokkkbokobbpo?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*j**2 - 68*j**2 - 418*j**2)*(j + j + 0*j)*(6 + 0 - 3).\nAnswer: -2238*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-15)*(-99)\/363.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2783378056.\nAnswer: 2, 3907, 89051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 563203475 and 1516.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 0.06717.\nAnswer: -0.43283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*z + 66 = 178 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 5453525\nAnswer: -1\/5453525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 13*k = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3537.49 and -0.1854.\nAnswer: -3537.6754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 9*h - 9*h - 1104*h**2 + 76*h**2.\nAnswer: -1028*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 54*v. Suppose -3 = g, -3*z - 2*g + 69 = 2*z. Let u(w) be the first derivative of -661*w**2 - z - 4 + 660*w**2. Give u(b(q)).\nAnswer: -108*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -62357 from -3.\nAnswer: 62354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1175.277m to centimeters.\nAnswer: 117527.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/231 and 50\/22041.\nAnswer: 1697157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 25*s - 3. Let h be (-12)\/(-8)*(-4 - (-20)\/(-6)). What is the units digit of d(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 5*z + 6. Let f be t(4). Let x(p) = -p + p - f*p. Let s(d) = 2*d. Let o(y) = y. Let u(i) = -5*o(i) + 2*s(i). Determine u(x(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -480 (b) 5 (c) -5 (d) 4 (e) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jesj when four letters picked without replacement from ssvesvssessjsje?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*c - 142 = 38, c - 192 = -3*i. Suppose m + 4*m - i = 0. Solve 5*j - m = 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 21*q**2 + 3*q + 4. Let f be (-1 - (4 - 1))\/2. Let r be d(f). Do 81 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 91 = 53*v + 13. Solve -v*w = 5*c + 8, 4*c - 8*c = -3*w - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6456, 12903, 19350, 25797, 32244, 38691?\nAnswer: 45138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -204639*h - 1398293*h - 12 - 2197066*h. Suppose -35 = -3*o - 2*o + u, -31 = -o + 5*u. Let y be f(o). Round y to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751*i - 203*i - 184*i - 183*i - 177*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1065)\/568 - -2)*-568\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 157*z - 4676 - 171*z + 4567. Calculate s(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8187388.\nAnswer: 2, 11, 73, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3)*(5 + 1). Let f be 1*(1 - j\/2). Suppose 3*v - 144 - 249 = f. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 5*l + 43*l.\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3 = 11. Suppose 55*o - 487 = 63. Differentiate 3*c - 1 - o*c**4 + 19*c**b - 3*c with respect to c.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740 at most 50485\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 325945*d + 30964772. Calculate a(-95).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148 less than or equal to 1162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14444 + 5733. Are x and -8711 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 211130933 and 2639?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/18126 and -71\/7866.\nAnswer: 416898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 709983341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:48 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52.1 + 52. Let w = 3 - 2. What is the closest to w in d, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2306.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 4. Let q be (18 - 4)*(-8)\/(-28) - -3. Let a be x(q). Sort a, 5, 0, 1 in increasing order.\nAnswer: a, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(275) - (sqrt(1331)*-3 + sqrt(1331))).\nAnswer: -3 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 b when three letters picked without replacement from kkbkkbbkkbbb?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 11*x**2 + 6*x + 61. Let u be j(-11). Put 3, 20, 5, u in descending order.\nAnswer: 20, 5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2808811 greater than -2808827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 10. Let p be x(-2). Solve -j = -4*n + 17, 1 = p*n - 10*n - 3*j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3713746646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 588767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d - 4. Let x be w(8). Let i = x + 54. Let -11*r + 121\/4*r**i + 1 = 0. What is r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (8 - 3) - (12 + -3) - 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3499*q = -3516*q + 578 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 1:30 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -442 - 320010?\nAnswer: -320452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -651*b - 2054. Does 6 divide q(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, 248, 934, 2220, 4280, 7288, 11418?\n\"Answer: 29*u**3 + 39*u**2 - 60*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 8:37 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27640799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehwww. What is prob of picking 1 h and 1 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/15*12\/(-24).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 2. Let k be m(10). Does k = -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 26 - -22) + (2 - (-2 - 7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/5115 and 91\/4?\nAnswer: 20460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:16 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -531, -1081, -1821, -2751, -3871, -5181?\nAnswer: -6681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/11 and 43\/524.\nAnswer: 5764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -556\/7. Suppose -118*j = -124*j - 60. What is the closest to j in 5, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-64)\/(-10)*8\/((-96)\/(-30)). Suppose 0 = -0*i + 8*i - b. Solve i*s - s - 4*o = 8, -s - 2*o = 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-5 + 20 - 22)) + -6 + -32 + -1\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/5 of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**4 + 3472*v**3 - 2*v**2 + 8260*v.\nAnswer: -48*v + 20832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 372235925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254930.\nAnswer: 2, 5, 13, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.83659934 - 10.\nAnswer: 2.83659934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 474*z - 56169.\nAnswer: -(z + 237)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.4 (b) 44 (c) 2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 7*o - 9. Let f(p) = 5*p - 3. Let y be f(2). Let a be w(y). Suppose -6 = -3*j, 0 = -2*h - 2*h - 4*j + a. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623 (base 8) in base 3?\nAnswer: 1221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -100 + 3?\nAnswer: -ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*c**2*n**3 + 16*n**3 wrt c?\nAnswer: -46*c*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-6))\/((-70)\/(-105))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hahkh. Give prob of sequence ha.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/(9\/(-48)). Let a be (q\/(-10))\/(4\/30). Let l be 0 + 1 + a\/(-9). What is the closest to l in -0.2, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031403330 (base 5) in base 12?\nAnswer: -8aa562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14462 is divided by 225.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 586031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1316214 and 14.\nAnswer: 9213498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50368*s - 12 + 12.\nAnswer: -50368*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 5 - (-2 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 21 = 2*o, 27*l - 26*l + 21 = -3*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13167947 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 99. What are the prime factors of b\/4*28\/35?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -94580 and -23681.2?\nAnswer: 70898.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14287 + -14287.000008338. Round y to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 233 + -237. Which is the nearest to 0? (a) 1 (b) 8\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 14 = -5*f, 5*f - 16 = f - 2*a. Suppose 3*b = -4*r + 67, 50 = 8*b - f*b + 4*r. Solve b*t - 19*t = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 1845.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*(1*2)\/(1492\/18650).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 11*r**3 - 10*r**2 + 2*r + 17. Let y(p) = 5*p**3 - 5*p**2 + p + 8. Let g(u) = -4*q(u) + 9*y(u). Let b be ((-20)\/25)\/((-1)\/5). Determine g(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 1. Let u(o) = -o - 3. What is -4*l(v) + u(v)?\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3937043 = 23*w + 840921. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33944398 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-45)\/55 - 49\/(-77)*5. Which is the third smallest value? (a) 1\/7 (b) r (c) 68 (d) 0.4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -60*v + 159 = -158 - 283 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**6\/40 + 3*z**5\/10 + 9*z**4\/8 + 2*z**2. Let i(q) = 0. Calculate q.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101815\/(-31999)*(-18)\/(-105).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(3*1\/(-150)). Suppose 0 = 8*z - 960 + g. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*g - 5*h - 27, 0 = -h + 5. Let d = g - 7. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (1 - 2) - (-792 + 715)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2.8, 4\/9?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16333135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - 3150*s + 77318. Calculate p(24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*k = -0*f - 20, -5*k = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + y**2 + 2*y - 2. Let s be q(1). Let d = -347 + 1043\/3. Sort s, d, -5, -5\/2 in decreasing order.\nAnswer: d, s, -5\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, 2\/5, 1510.336 in increasing order.\nAnswer: -130, 2\/5, 1510.336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (33\/8)\/(-73*1260\/(-163520))\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 16. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 191*j**2 - 40 + j + 0*j**3 - j**3 - 183*j**2. What is h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/4 + 2*s**3\/3 - s**2\/2 + 16*s. Let u(q) = -4*q**3 - 3*q + 1. Calculate 3*p(r) + 4*u(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 589230*t + 589235.\nAnswer: -5*(t - 1)*(t + 117847)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1274 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 33*h**2 + h. Calculate the remainder when x(1) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 490 + -506. Let q(s) = s**2 + 5*s + 130. What are the prime factors of q(y)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b - 8889 + 8888 + 7*b - b**2 - 13*b. Suppose -9 = 5*z + 21. Let n(f) = 9*f**2 + 6*f + 6. Determine z*k(q) - n(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 2.67.\nAnswer: 21.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -558 != -36186\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w - 1005. Let a(t) = -4*t - 501. Let s(o) = -13*a(o) + 6*g(o). What are the prime factors of s(0)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**3\/2 + 57*s**2\/2 + 123*s\/2 + 63\/2 = 0?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 269 = 2*l, q + 1 - 71 = -5*l. Let t(b) = -15*b. Calculate the remainder when q is divided by t(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -0.2 (b) -0.8 (c) 34 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*d - 51 = 0, -2*d - 3*d = -2*z + 32. Let y(r) = -r**3 + 4*r**2 + 5*r - 7. Let g be y(5). Let n = z + g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 21 = 15*x. Let j = -2\/537 - 12874\/3759. Calculate the common denominator of j and ((-73)\/8 - 0) + 0\/x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*g + 31, 4*g - 24 = 2*n - n. Let m be 108\/84 - 2\/g. What is the second biggest value in 0.6, 0.5, m?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - 119 - (-1 + 3). Let l = 383 + b. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 20 - 30. What is the highest common factor of 22 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/48 and -97\/5088.\nAnswer: 5088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 + 1014\/10. Suppose 3*q + 29 = -3*d + i, 0 = -d - 5*q + 32. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x. Let k(y) = -21*y**2 - 21*y + 84. Let f(p) = -p + 4. Let n(q) = -21*f(q) + k(q). Give n(o(m)).\nAnswer: -525*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 5. Let k be b(7). Suppose -2*s + k*f = -0*f + 2, 5*s + f = 19. Solve -1 = 2*p + s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 - -1. Let j = -0.1 - z. What is the second biggest value in -0.1, j, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/8 - -61\/120. What is the nearest to 5 in 3, g, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/15)*b)\/b*(b\/(b**3*b))\/b*b\/b**(-12)*b\/b**(-9) assuming b is positive.\nAnswer: b**(301\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -22*z**6\/15 + 17*z**3\/3 - z - 8. What is the second derivative of d(j) wrt j?\nAnswer: -528*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14841*p**2 + 15226*p**2 - 30063*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*l - 36 = 0, -5*s + 2*s = 5*l + 5. Suppose 5*f - 70 = 20. Let a be s\/(-10) - f\/4. Put a, -3, 5 in decreasing order.\nAnswer: 5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1760*g - 3519. Let v be y(2). Let z = 13 - 115\/9. Let d = 0.03 + 2.97. Which is the closest to v? (a) -2\/13 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7857 and 0.06052.\nAnswer: -475.50564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 52, 3\/5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 10) to base 15\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**4 + 2*h**3 + 82. Let t(a) = -8*a**4 - 9*a**3 - a**2 - 329. Let c(o) = -9*f(o) - 2*t(o). Find the first derivative of c(x) wrt x.\nAnswer: -44*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**4\/12 + 2*p**3\/3 - 3*p**2 - 2*p + 36. What is k(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0*f**4 + 1 - 5*f + 1\/70*f**5 - 1\/42*f**3 - 1\/294*f**7 + 0*f**2 + 0*f**6. Find r, given that v(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*v + 4*v + 5*x, 5*v - 4*x + 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*(sqrt(50) - 1*sqrt(50)))\/((sqrt(90) + (sqrt(90) - (sqrt(90) + (sqrt(90) - (sqrt(90) - -2*sqrt(90)))))*2 - sqrt(90))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-1820))\/((-18)\/12)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(144)\/sqrt(4) - sqrt(36)))\/(sqrt(300) + (sqrt(300) - -1*sqrt(300))) - 3*(((sqrt(192) - (sqrt(192) + 2)) + sqrt(192) + sqrt(192))*5)**2.\nAnswer: -57900 + 4800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Solve -2*m + 12 - j = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 55 (b) 0.2 (c) 0 (d) 43 (e) -900 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -2368\nAnswer: 29\/2368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 633175 and 2185.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tht when three letters picked without replacement from {t: 1, h: 19}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -143, -213, -283, -353?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m + 1\/3*m**3 - 254\/3*m**2 + 0.\nAnswer: m**2*(m - 254)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, o: 3, f: 7}. What is prob of picking 1 f and 3 o?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47091028909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 456842448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15) + (-2772)\/(-1470))*16\/(-6).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5950.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1506 + 5337. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*h + 44 = -9, -h = -2*o + 101. Let p = 38 - 21. What is the highest common divisor of o and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 17586 = 16931. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57902147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 780\/(-45)*(-1)\/(-2)*(-12)\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 6:51 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3\/9 + 24340*d**2\/9 + 74030104*d\/9 - 148157584\/9 = 0.\nAnswer: -6086, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688928.\nAnswer: 2, 21529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 8*w**2 + 9*w + 8. Let i be c(-9). Suppose 22 = i*q - 2. Solve u - q = -4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w - 5. Let x be 6\/(-4) + 10\/(-4). Suppose 10*d - 6*d = 176. What is the remainder when d is divided by f(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 18. Let f(t) = -5*t + 1. Give f(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 8 + 2. What is the remainder when 22 is divided by x\/(-8) + (-53)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442 is divided by 702.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 z when three letters picked without replacement from zozzxxoxxxxxxzzxzz.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -18*g**2 - 23*g + 28*g + 4 + 11*g - g**3. Calculate the remainder when p(-19) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 11*d**2 + 133*d - 3925. Determine n(17).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:37 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-5)*475\/1330.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = -3*n. Suppose -4*z = 3*l - 10, -5*z - 4*l + n = -12. Let x = -26161\/41 + 638. Is x smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 16) to base 4.\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-576))\/(4 - (-178)\/(-40)). Let t(j) be the second derivative of -1\/3*j**2 + 0 - o*j**4 - 17*j + 7\/27*j**3 + 1\/90*j**5. Let t(z) = 0. What is z?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*r - 49 + 27 + 22 in the form m*r + p and give m.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -11, -14, 4, -3, 34 in increasing order.\nAnswer: -14, -11, -10, -3, 4, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t**2 + 2*t. Let f(x) = 21*x**2. Calculate l(f(w)).\nAnswer: 3087*w**4 + 42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 12. Let i be t(-8). Let d be 3\/(3\/i) + 1. Let n be 2\/d + 300002\/3. Round n to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 2*v - 40 = 0. Let m(k) = 6*k - 5. Let w(o) be the third derivative of -o**4\/4 + o**3 + 3*o**2 + 5*o. Give v*m(t) + 4*w(t).\nAnswer: 6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/60 - 5*l**4\/24 - l**3\/6 - 29*l**2 - 2. Suppose -40 = -5*d + 4*r, -2*d - 5*r - 13 = d. Give y(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4 - 133480*j**3 + 891245870*j**2 - 5343871800*j + 8014006125 = 0.\nAnswer: 3, 13345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 5:48 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 13*h + 4. Let k = 823 + -826. Let j(l) = -13*l - 3. Determine k*j(g) - 2*r(g).\nAnswer: 13*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465879.\nAnswer: 3, 83, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13\/3 + (-74)\/222 + 8869?\nAnswer: 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 317.11 - 314.11. Sort 2, v, 1\/2, -1 in decreasing order.\nAnswer: v, 2, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + ((0 - 2) + 1 - (-9 + 9 + 41)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -119. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - z + 3*z + (0*z + 5*z - 3*z)*(-3 - 2 + 6) + (-3 + 1 + 3)*(3*z + z - 6*z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 196124213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 3*m + 11 + 20 - 29.\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.009 - 0.009. Let f be -13 - 7\/((-14)\/4). Which is bigger: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17216 - 17217. Sort 1, -929, -3, f.\nAnswer: -929, -3, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*q + 0*q - 1193 = 0, 4*l - 5*q - 4772 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 3*v + 4. Let o be q(-3). Suppose -5*a - 124001 = -3*i, -3*i = -5*a - o*i - 123993. Let b = a + 44799. What is b rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.06 (b) -0.04 (c) 0 (d) 960\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - 53)*(-2)\/4. What is the third derivative of 10*p**2 - 11*p**4 + 5*p**5 - 11*p**4 + v*p**4 wrt p?\nAnswer: 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 2:31 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + -37. Let i(z) = 3*z + 3. Let w(o) = 2*o - 40. Let x be w(23). Let h be i(x). Calculate the highest common divisor of f and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.3 + 25.2. What is the second biggest value in -7\/6, o, -10?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*s + 0*s - 5*s)*(1 - 2 + 2) + 71*s - 5 + 5)*(144*s**3 - 239*s**3 + 125*s**3).\nAnswer: 2070*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31254648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8619 and 2366.\nAnswer: 120666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l**3 + 5*l. Suppose 0 = -5*o + 5*f + 35, -2*f - f + 4 = 2*o. Let v(w) = 4*w**3 - 2*w. What is o*v(x) + 2*b(x)?\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a + 4. Let s be y(3). Let g(i) = -2*i**2 + 21*i - 6. Let t be g(s). Solve 4*o - 2*o = -t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikrikkikri. Give prob of picking 3 i and 1 k.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216 - -384. Calculate the highest common factor of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.1 or -67?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(0 - -2) + -4. Let f(g) = -2*g**3 + 7*g**2 - 8. Let v(h) = -h**3 - h + 1. Let w(u) = f(u) - v(u). Let r be w(7). Is d <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 322*x - 642*x = -0*t - 325*x + 2, 2*x + 16 = -4*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 1630?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 40596*t**2 - 365728*t + 406320.\nAnswer: 4*(t - 10158)*(t - 1)*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*u - 3*s + 67, -s - 10 = -3*u. Solve u*j = 13*c - 14*c - 4, 12 = -3*c - 5*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 8. Put -5, y, -1 in decreasing order.\nAnswer: -1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23064 - -22977. Which is the closest to -0.1? (a) 13 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291b9ab (base 12) to base 8.\nAnswer: 37366323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1)\/(4\/16). Find the second derivative of -p*i**5 - 3*i + 0*i**5 + 3*i**5 + 0*i wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.61 >= 8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 10. Suppose -v + 22 = 18. Suppose -f - v*z = 0, -f + z = -5*f. Calculate o(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7\/(x*x*(x*x**(-2)\/x)\/x))\/(x*x\/(x\/(x\/(x\/(x\/x**(-3\/2)))*x))*((x**(-5\/3)*x)\/x)\/x*x))\/((x\/x**6)\/(x\/(x*x**(-7)*x)))**(-13) assuming x is positive.\nAnswer: x**(-827\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 29\/4, -21?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 26*s - 24*s + 2 = 0, 4*d + 12 = 4*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13 - -2)*(-9)\/(-15). Suppose -4*b - 12 = -5*y, -3*b - 3 = -p. Suppose -2*d + 10 = y. What is the closest to -3\/5 in 2\/3, -10, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*4\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c - 66. Suppose -2*d - i + 38 = 3*i, -2*d + c = 5*i. Suppose -2*f + d = -21. What is the highest common divisor of 25 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 0 - 1 + i)*(0 + 1 + 1) + 3*i - i + i as h*i + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/19715 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 1. Let q be b(-3). Let r = 926 - 922. Solve 6 + q = r*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144245 is divided by 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 9*j**4\/4 - 4255*j**3\/4 - 64175*j**2\/2 + 137210*j + 32064 = 0.\nAnswer: -32, -2\/9, 4, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - 3) + 379 + -389?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 361736 and 439?\nAnswer: 361736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/175*(-28)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-25)\/2)*15\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2073 (base 9) to base 10.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.27 - -10.27. Let k be 15\/36 - ((-17)\/(-6))\/17. Which is the closest to 0? (a) j (b) -0.4 (c) k (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((693\/(-45))\/(-7))\/(4901\/(-3770)).\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 4*k**3 - 2*k + 1 - 17*k**2 + 20*k**2. Calculate p(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 88 = -24. What is the greatest common divisor of q and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201 + 206. Solve 4*q = 4*h + 4, 0 = -0*h - k*h + 3*q - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560 = -398*h - 160*h - 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -3*m + 4, 3*s - 28 + 2 = -5*m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - l**5 - l + (4*l**3 - 4*l**3 + l**5)*(-6 + 8 + 10) + (2*l**2 - 2*l**4 - 2*l**2)*(-l + 0*l - l) - 36*l**2 + 7*l**5 + 36*l**2.\nAnswer: 22*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2))\/((-12)\/40). Let z be (10\/(-130))\/((16 + -11)\/(-65)). Sort -3, 2, z, r in ascending order.\nAnswer: -3, z, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 148.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 32)\/18 + 0 + (-2)\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 15. Let r be j(0). Let t = -3 - r. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 3. Let d = 14 - 11. Suppose 3*j - d = 3. Let t be 12\/(-3) + 16\/j. Let h(q) = 7*q + 7. Calculate t*h(c) + 9*l(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495963338 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 134, 140, 150, 164?\n\"Answer: 2*v**2 + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (-15 - 15) - (-11 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 118864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43361116763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40787113 and 9794.\nAnswer: 4897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.58262 meters?\nAnswer: 0.00458262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 295cc5?\nAnswer: 295cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 12) to base 4\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708964 is divided by 569652?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 337 - 335. Sort 2\/11, c, 4, -4.\nAnswer: -4, 2\/11, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let g(j) = -j**2 + j + 1. Let b(t) = 4*t**2 - 3*t - 1. Let l(x) = -b(x) - 3*g(x). Let m(a) be the first derivative of l(a). Calculate m(q(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 185, 517, 1165, 2237?\nAnswer: 3841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y**2 - y + 10*y**3 - 8*y**2 - 9*y**3 as r*y**3 + k*y + l*y**2 + c and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 464 (base 11) to base 3\nAnswer: 202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (520\/(-75) + 6\/(-15))\/((-4)\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:54 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46762 by -2.\nAnswer: 23381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 4*c**2 - 3*c - 3. Let r be i(-4). Suppose -z - 2*n = 2, z - r = 4*n + 1. Suppose -v = -z*v + 5. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 9*x + 16. Let m be s(10). Let v(u) = -19*u**2 + m*u**2 + 6*u**2 + 6*u**2. Let g(a) = -12*a**2. Calculate v(g(n)).\nAnswer: -144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189826339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 - 4264234*m**2\/3 - 2272963582960*m\/3 - 2272959318728\/3.\nAnswer: -2*(m + 1)*(m + 1066058)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2291 + 0 + -2)\/(-94). Let q be 1\/((-94)\/8)*5\/(-4). Let z = q + y. Calculate the common denominator of 125\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-9 + 18 - (-35)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1559 + 831 = 5*l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3689007 to the nearest ten thousand.\nAnswer: 3690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2709145797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 16 = 2*s, 10*c - 11 = 7*c + s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89\/76 - -30\/19. Let r = 3907 + -50822\/13. What is the common denominator of r and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 b when four letters picked without replacement from {k: 3, b: 5, r: 3, l: 1}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166 - 7. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 29. Let f be r(16). Solve -f = -3*z, 2*g + 0*z = z + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5691)\/38211*(-2)\/7.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -178545625*k - 159739268.\nAnswer: -178545625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 7:46 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 12*c**2 - 30*c - 25. Let l be h(-14). Solve 0*t - t = 2*j - 6, l*t + 6 = 2*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8597\/9 + -4774\/5. Calculate the common denominator of -32\/27 and r.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 127a57 - -5?\nAnswer: 127a5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*j - 63*j = 65*j + 110960. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s + 7. Let b(o) = 40*o + 36. Let i(g) = -2*b(g) + 11*d(g). Is i(2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (0 + (8 - -17))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 - 8*f**2 - 14*f**3 + 40*f**3)*(-4 + 2*f + 4).\nAnswer: 52*f**4 - 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2209268 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25452 and 76356?\nAnswer: 76356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 1) + (0 - 10) - 13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12f6 - d1?\nAnswer: -13c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(1\/1)\/33*-3.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -2) + 3 - 435\/147. Let h(t) = -t - 6. Let p be h(-6). Which is smaller: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + 3*u - 9. Suppose 0*k = k + 3. Let i(m) = -6*m**2 - 6*m + 19. Let s(d) = k*i(d) - 7*x(d). Determine y so that s(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2391876 is divided by 26281.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-7296)\/(-665))\/16)\/((-2)\/10)\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 23*u = 224 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/45283?\nAnswer: -2\/45283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-967)\/(-5) + 2)*(-16 - -19). Let n = -584 + w. Let u = -8371\/8 - -1042. Find the common denominator of u and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.016 - 0.1166. Let z = 5.1006 + h. Let w = 0 + 0. What is the closest to -1 in 0.1, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 411. Let i(w) = -287*w + 42. Let x(z) = 116*z - 17. Let u(q) = 17*i(q) + 42*x(q). Determine l(u(n)).\nAnswer: 98*n**2 - 411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**39)**(2\/9) assuming x is positive.\nAnswer: x**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 0, -1\/6, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14742 and 8242.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17353.8 to the nearest 100.\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15547336 and -4.\nAnswer: -15547340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.96829798 rounded to three dps?\nAnswer: 12.968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 1.9317?\nAnswer: 1.4317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/2))**(-13\/2)*b**(-4\/3)*b**(-9)\/b)**(-2\/31) assuming b is positive.\nAnswer: b**(19\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115495 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1956922 is divided by 652302?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 849, 1093, 1361, 1653, 1969?\nAnswer: 2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -4*s. Let p(t) = t + 12. Let l be p(0). Let q = l + s. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 10*i**2 - 7*i - 13. Suppose -31*v + 42*v = 99. Let t be m(v). Solve -2*j - 13 = t*f, 4*j - 19 = 4*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-69)\/(-156)*143\/11.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18719?\nAnswer: 18719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2\/11 (c) -167 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178 - -892\/5. Let a(p) be the first derivative of -l*p**3 + 1 - 3\/5*p**2 - 2\/5*p - 1\/10*p**4. Determine q so that a(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35792500 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9148*u + 1381356. What is v(-151)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.005 - 1.505. Let x = 18 + -19.8. Let z = a - x. What is the nearest to 1\/2 in -1\/5, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**6*x**2 + 2*n**5*x**3 - n**2*x**3 - 2*n**2*x + 21*x**3 wrt n?\nAnswer: 480*n**3*x**2 + 120*n**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/7, 3\/7, 7, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i - 116 = -4*k, -2*i - 4 = 0. Suppose -5*h + 66 = -4*b, 4*b + 0*b + 38 = 3*h. What is the remainder when k is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-62 - -45)) + 2 + 0 + 66.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + 0.2. Let f = -245 - -244.9. Which is the closest to -3? (a) f (b) -2\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-33)\/(c*c**(3\/14)) assuming c is positive.\nAnswer: c**(-479\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1748 divided by 984\nAnswer: 437\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -13, -15, -15, -13, -9, -3?\n\"Answer: z**2 - 7*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19692210 or -19692211?\nAnswer: -19692210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 102*r - 2. Let q be c(1). What is q rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e + -2cd?\nAnswer: -32c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16568 - 16533. Solve 0 = -n*k + 263 - 18 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(720) + 3 - sqrt(720))**2 - ((sqrt(60)*-2 + sqrt(60))*-6)\/sqrt(12)).\nAnswer: -8 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 95538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -54 + 26. Solve 3*o = f*p + 22, -2*p - 8 = -o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147810*l**4 + l**3 - 3*l**2 - 429*l + 5.\nAnswer: -3547440*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -222.519 * -524\nAnswer: 116599.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 0.364.\nAnswer: 4.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 6*i + 0*i)*(-286 - 307 - 233 + (-3 + 1 + 4)*(-3 + 5 - 3)) to the form a*i + x and give a.\nAnswer: 2484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, 0.024, 4, 5, -10?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57.2? (a) -2 (b) 1 (c) 0.061 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*l**3 - 955*l**3 - 31*l + 445*l**3 + 3*l**2.\nAnswer: -55*l**3 + 3*l**2 - 31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 662.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 773366323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 - 2. Which is the third smallest value? (a) q (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 99598, 99082, 98212, 96982, 95386, 93418, 91072, 88342?\n\"Answer: -c**3 - 171*c**2 + 4*c + 99766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((6780\/(-96))\/(-113))\/(2\/(-48))*2\/(-15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 51?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvgvggggvgvgggygvyg. Give prob of picking 2 g and 1 v.\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5\/2, 2\/13, 0.064, 0.1, -1\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*o = -34. Let h(k) = -13 + o*k + 13. Let x(b) = 2*b. What is x(h(v))?\nAnswer: 68*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 1376675.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/22*(9 - 1). Suppose 70*s - 73*s + 12 = 0. Suppose -2*j - 86 = -s*j - l*y, -5*j + 3*y = -163. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-78)*3 + (-17)\/(-26).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 105404, 105057, 104710?\n\"Answer: -347*b + 105751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*b**6 - 160216*b**3 - 96611678*b**2?\nAnswer: -7080*b**3 - 961296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 1981 in increasing order.\nAnswer: -9, -3, 1981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*c - 2*c. Suppose -75 = -2*o + c*s - 12, 0 = -5*s - 15. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 10*v + 4. Let f be y(10). Suppose -7 = 5*q + 2*k - f*k, 3*q = 4*k - 7. Which is the closest to q? (a) 4 (b) -1\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = h - 309 - 14, 4*o + 1300 = 4*h. Let u = h - 907\/3. Find the common denominator of (-2)\/45*(-115)\/3 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424954 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m - 3*d - 0, -4 = -d. Suppose 4 = 4*c - 3*t, 0*c = c - t. Suppose 0 = z + c. Put m, 4, z in increasing order.\nAnswer: z, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2 - (-3 + -334). Let j = w - 620. Let n = 430 + j. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 57009*t**2 + 1. Suppose 5*w - 6 = -1. Let u be y(w). Suppose -55990 = m + u. What is m rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g + 1. Give s(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = x - 0*x. Suppose -3*r + x = -4*w, 4*w = r - 13 - 2. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*(d\/(d**10*d)*d)\/d*d*d*d**(-41)*d*d assuming d is positive.\nAnswer: d**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(7\/294).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -50*z - 32. Let q be x(-3). Suppose 117*n + 40 = q*n. Solve 2*j = -36 + n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 996 divided by 166\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-2 + (5 - -8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/5 + 4*c - 91\/5 = 0 for c.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - 15\/(-2). Suppose -2*l = d - x, 4*l = -2*d - d + 19. Is 0 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -135197.2578 to the nearest one hundred.\nAnswer: -135200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/600 - f**4\/40 + f**3\/15 + 3*f**2. Factor p(r).\nAnswer: (r - 1)**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 1. Let d(f) = 6*f**2 + 3*f + 4. Let s(r) = d(r) - 4*q(r). What is the second derivative of s(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Calculate the remainder when g is divided by -3 + 1*6\/(-3) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/30 + k**5\/20 - k**4\/8 + 5*k**3\/6 + 7*k**2. Let z(s) = s**3 + s**2 - s + 1. What is i(h) - 3*z(h)?\nAnswer: h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 + 133. Suppose z*w - 2 - 12 = 0. What is the greatest common divisor of w and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 65. Suppose 4*b - 633 = -g*l + b, l = 2*b + 202. Suppose -4*c = -4*j - l, 2*c - c = -4*j + 52. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 114*g + 314 = -16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4400.033 to the nearest integer.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 68*y**3 - 2586*y**2 + 14832*y - 434 = 0.\nAnswer: 1\/34, 7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14185 + 14189. Solve -4*y - 3*c = 4, y - 2*c - 14 + h = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5722 - -5722. Let h(s) be the first derivative of 0*s**3 - 24\/5*s**5 + i*s**2 + 5*s + 24 + 0*s**4. What is the derivative of h(l) wrt l?\nAnswer: -96*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(275) + sqrt(275) + -1).\nAnswer: -3 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7446 and 170578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1498 and 59813642?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i - 252 = 0. Let w = -51 - i. Suppose w = 12*g - 7*g. What is the highest common divisor of g and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185 * 32068.2\nAnswer: 5932617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k - 12. Let t(j) = 2*j**3 - 5*j**2 + 2*j + 2. Let a be t(k). Let d = -12 + a. Solve 3*n = 2*n + d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 325651987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t - 1. Give n(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -18*w - 11. Let l be p(-5). Suppose -184 = -f + l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 203110?\nAnswer: 203131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1817 and -4?\nAnswer: 0.7268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 16 = -d. Let a(m) = 3*m**2 + 10*m - 104. Let s be a(-8). What is the greatest common factor of d and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 449*g. Let m(z) = -22*z. Give m(p(l)).\nAnswer: -9878*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 16. Let m be (-13)\/v - (-9)\/(-36). Let g be 2\/(-6)*(-12)\/2. Solve m*z - 4 - g = -5*o, -3*o + 2 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227377 (base 8) to base 5.\nAnswer: 4440232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.31 (b) 2 (c) -42 (d) -2\/5 (e) -1\/3 (f) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 b when four letters picked without replacement from vbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 10*v + 19 = -3*b, v + 19*b - 33*b - 49 = -7*b - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o + 4. Let y(r) be the first derivative of -4*r**2 + 7*r + 33. Let l(g) = -11*p(g) + 6*y(g). Let i be (2 - 1)*(1 - 3). Calculate l(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2126928965?\nAnswer: 5, 7, 1201, 50599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -23 + -9 + (0 - 17)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*b - 1530 - 477, 2*b - 10 = 0. Let m = j - 404. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, l: 4, c: 4}. What is prob of sequence cbcb?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i + 3. Suppose i*a = a + 21. Suppose -32 = -3*z + a. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 12:18 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 143*u + 41. Is w(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*s + 198, 5*a - 2*s = 4*a + 66. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -699*v**3 - 3*v**2 + 8*v + 75750?\nAnswer: -2097*v**2 - 6*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 42. Calculate the highest common factor of 126 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59908, 239005, 537298, 954787, 1491472, 2147353, 2922430?\nAnswer: 3816703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.53392 to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -4403*p**3\/6 + 6423*p**2\/2 + 5*p - 824. Differentiate c(v) with respect to v.\nAnswer: -4403","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*l = 7 + 7, -5*l - 18 = -2*k. Let s = 5 - 2. Sort s, 0, -2, k in decreasing order.\nAnswer: k, s, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 7*q**2 - 7*q + 61. Let n be i(7). Let y = -0.462 + 0.362. Which is the second smallest value? (a) n (b) 0.5 (c) y (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179 - 260. Let o = d - -80.997. Round o to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*n + 5624 - 1598 = 0 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11005 - -99043\/9. What is the closest to -2 in o, -0.3, -23\/8?\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = 0. Solve 2*i + 2 - 6 = o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -944*d**5 + 7247*d**4 + 13438298*d**2?\nAnswer: -56640*d**2 + 173928*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - c + 1. Let d(m) = 5*m**2 + 5*m - 9. Let l(n) = 26*n**2 + 26*n - 46. Let r(s) = -16*d(s) + 3*l(s). Let v = 4 + 0. What is v*k(x) - r(x)?\nAnswer: -2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -3 - (-2 - (6 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(4*p - 2*p - p) + (1 + 0 + 3)*(2*p + 0*p - 3*p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2310735 and -0.17?\nAnswer: 2310735.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 309 and 3?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 9327*r + 537427. Give n(58).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 3)*(637\/(-196) - (-6)\/2). Let a be (33\/(-9))\/(2\/(-6)). Sort p, a, 0.\nAnswer: 0, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120031 + 116449 = -4344*y + 230994 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292*3*82\/(-38376)*39.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 61, 45, -504, -2 in descending order.\nAnswer: 61, 45, 0, -2, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -19. Suppose f*p - 112 = -0*p. Suppose -5*t + 330 = -5*z, -5*z = 8 - p. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 + 150. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3529828 (base 11) to base 2.\nAnswer: 10111100000011100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*o**3 + 0)*(-2*o + o - o + 0*o - 2*o + 0*o + (-2 + 1 + 3)*(4*o - 3*o - 2*o)) to the form x*o**4 + s*o + i + j*o**3 + d*o**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54257\/9 or 6029?\nAnswer: 54257\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-138)\/23 - (-4)\/((-4)\/(-9)). Suppose -5*f = -0*f - 10. Suppose 0 = d - 0*j + m*j - 32, 0 = 4*d - f*j - 72. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4576 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160116 divided by 12.\nAnswer: -13343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.33 - -1.32. Let m = h + 0.51. Which is the nearest to 0.1? (a) 2\/5 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 4, -9, -8, 22, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1944*c + 5615. What is g(3)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -7*r**6\/60 - 19*r**5\/40 - 5*r**4\/8 - r**3\/12 + r**2\/2 + 23*r. Find d such that o(d) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 46 - (9 + -7 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 10*j + 13*j + 1423, g = 3*j + 704. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 75*o**2 + 2*o.\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5530 divided by -5.\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70516 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14714 + -176705\/12. Let l = 5457\/4 - 1348. Calculate the common denominator of q and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 859 (base 11) in base 9?\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -4.1?\nAnswer: -20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2772*q**5 + 50804*q**4 + 485756*q**3\/3 + 153212*q**2 + 37744*q - 21376\/3 = 0.\nAnswer: -1, 4\/33, 1336\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1530 and 93258\/61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/48*-4)\/((-165)\/44)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5*q + 5 = -10, -5*j + 338 = -q + 341 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 1297495*t + 67456220.\nAnswer: 5*(t - 259447)*(t - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 129404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -595 + 95 = 4*i. Let p = i + 126. Solve 3 = j - p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290 divided by -87787.\nAnswer: -290\/87787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -367*x. Suppose -38*s - 82 + 272 = 0. Let c(o) = 9*o**2 + 5. Let u(p) = -5*p**2 - 3. Let m(h) = s*u(h) + 3*c(h). Calculate b(m(t)).\nAnswer: -734*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7c9 (base 15) to base 14\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162636 by -179.\nAnswer: 162636\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59*z**2 - 4*z - 1097.\nAnswer: -118*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33121.09l?\nAnswer: 33121090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -1\/4 + 19\/4*c**2 - 2*c - 5\/2*c**3 = 0.\nAnswer: -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89950227 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 20\/(-4)) + 0. Let y be ((f - -5)*-1 - -3) + 2. Calculate the lowest common multiple of y + 1 + (-4)\/(-2) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101464 (base 8) to base 9\nAnswer: 51060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1dcc7 - -595?\nAnswer: 2047c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -366 - -28181\/77. Is k > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 665 = -265. Let x = -97 - v. Suppose t - 9 = -c, -t = c + 4*t - 17. Solve 3*g + c = -l, -x*l + 3*g = 2*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:54 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 + 2*f**2 - 3*f**2)*(21*f - 28*f - 83*f)*(2 - 1 + 1)*(-1 - 1 + 1) in the form n*f + l + s*f**3 + c*f**2 and give s.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(56)\/sqrt(2))\/sqrt(4) - (-4 + 2*sqrt(7)).\nAnswer: -2*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 - 2*i**2 + i**2 + (0*i + 3*i - i)*(3*i - 3*i + 17*i) to the form a*i + h*i**2 + o and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -452.2 + 452.53. Which is the closest to -2\/7? (a) 0.4 (b) -0.1 (c) -14\/5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/2)\/((-416)\/52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 - 3*w + w + 219 + 4*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 38*w - 20. Let l(s) = -13*s + 7. Let q(j) = -5*f(j) - 14*l(j). Let i be q(4). Let o = -14 - i. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 16) in base 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000313026 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 17*y + 32. Calculate the highest common divisor of y and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22929 = 291*z - 2268 for z.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782336072.\nAnswer: 2, 7, 13970287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 814067.4 micrometers to centimeters.\nAnswer: 81.40674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k = 28*k - 157 + 715. Calculate the remainder when 197 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -11222?\nAnswer: 11203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.882 and 0.08?\nAnswer: 0.15056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:22 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + -3 + -1 - (1 + -16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from atitiiijaqateeijiiit?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:59 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1\/10 (c) -1.8 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 24 = 5*z, -4*z - 12*k + 15 = -11*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24467, 49000, 73533, 98066, 122599?\n\"Answer: 24533*l - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (268\/6)\/(1\/3). Let d = 177 - g. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*b - 3*b + 0*b)*(-5*b - 2 + 2) + 0*b**2 + 0*b**2 - b**2)*(3*b**3 - 914*b**2 + 924*b**2 + 19*b**3).\nAnswer: 748*b**5 + 340*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Suppose -a + 4*r + 0 = 18, r - 9 = -z*a. Calculate the remainder when (1 - (-5)\/(-3))*-9 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5929?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1426306312 and 0.5.\nAnswer: 1426306312.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11547.\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/sqrt(11))**2 + (sqrt(2) + (sqrt(8)*-1 - sqrt(8))\/sqrt(4))**2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 355737 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8607 divided by -8?\nAnswer: -8607\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3419530485.\nAnswer: 3, 5, 7, 31, 463, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - w = 2233, 2*p + p = -3*w + 1347. List the prime factors of p.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*9)\/(18\/(-24)). Solve v - 4*k**3 + 7 - 19 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/59, 717, 0.4.\nAnswer: -3, -4\/59, 0.4, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56501750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150136187 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.01505 times -2\nAnswer: 4.0301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89067091 to the power of 1\/2, to the nearest integer?\nAnswer: 9438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 4, -6, -2\/5, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 78735.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pppt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*k - 5. Let l = -15 + 14.8. Which is the closest to l? (a) 5 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 915120 and 1230.\nAnswer: 915120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*d - 4*v, 0 = -d - 3*v + 226 - 225 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457*k + 435*k = -249128. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*h**4 - 61*h**3 + 8*h**2 - 40*h - 385 wrt h.\nAnswer: 204*h**2 - 366*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1403514, 2807025, 4210534, 5614041, 7017546?\n\"Answer: -b**2 + 1403514*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5*x**4 + 0 + (-5*x - 9*x + 2*x)*(-6*x**3 + x**3 + 3*x**3) as w*x**4 + f*x**3 + p + u*x**2 + b*x and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513563 != 5513565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*i*r**2 + i*r + i - 15*r**5 + 31*r**3 - 4640*r wrt r?\nAnswer: 24*i - 300*r**3 + 186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + i - i + (0 + 0 + 1)*(-i + 3*i + 0*i) + (0 + 0 - 2*i)*(2 - 3 - 1) + (5 - 5 - i)*(-1 - 6 + 1) to the form w + q*i and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/15)*(j\/j**1)\/j*(j*j**(1\/2)\/j)**(1\/25)*((j\/j**(-1\/2))\/(j\/(j\/(j**(3\/7)*j))))**(-2\/49) assuming j is positive.\nAnswer: j**(-43711\/51450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 32*t - 169. Let f be g(25). Let h be -10 + f - (-22 - -15). Factor -34\/3*z**4 + 8\/3*z**5 + 16\/3*z + 56\/3*z**h - 44\/3*z**2 - 2\/3.\nAnswer: 2*(z - 1)**4*(4*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 15 + 11 + 32*c**2 + 8*c**2 to j*c**2 + b*c + p and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61304 (base 15) to base 11.\nAnswer: 1a0292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042213442 (base 5) in base 9?\nAnswer: -4301744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12 - 310\/(-8). Suppose -9 + 27 = 3*c. Suppose -r = -5*m + c. Solve -1 = -2*n + m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8742 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168940 is divided by 3128.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -84, -190, -340, -534, -772?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 1. Let y be i(6). Suppose 3*v + 3*g - 50 = g, -4*g = -y*v + 120. Suppose 0 = -3*k + 7 + v. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*i**3 - 2*i + 109 wrt i.\nAnswer: -810*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**4\/24 + x**3\/2 - 9*x**2. Give p(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -190\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6855 - -54843\/8. What is the smallest value in 4\/5, -25\/4, j?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/544 and 83\/102.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 4*z + m = -383, -2*m = -2*z + 262. Let j = 134 - z. Solve 9*o = j*o - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1675114*k**5 + 1702746*k wrt k.\nAnswer: 33502280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 23 = 4*f, -102638*f + 102616*f + 3*m - 135 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-49 - -46)\/((-76)\/(-12) - 6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.583 - -0.503. Let y be ((-2 - 3) + 2)*(-2)\/(-30). What is the nearest to 1 in 0.5, b, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyuyyyyyyyyyu. Give prob of sequence uuuy.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -88 + 11. Suppose -11*w = -k*w - 40. Solve w = -3*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 11*g - 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*p + q, -p - 4*q + 2 - 3 = 0. Suppose -p*l = -l - 14. Let d be 2\/l + 8\/(-28). Which is the smallest value? (a) 1\/4 (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1786*q**4 - 16*q**3 + 80*q**2 + 540242785*q wrt q?\nAnswer: -21432*q**2 - 96*q + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 10) to base 12\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7522 - 7516. Solve -z*u + 22 = -8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4049591.38 * 5\nAnswer: -20247956.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10)*5170\/13959*135?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45a - b49?\nAnswer: -12a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53332888.\nAnswer: 2, 7, 127, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -44*f - 343. Calculate n(-13).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3195578 by -10.\nAnswer: 1597789\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 0 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52\/16 - (-1)\/(-4). Let c(f) = f**3 + 3*f**2 - 3*f + 3. Let q be c(-3). What is the units digit of (-8)\/v*q\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1042739459 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (2 + 46\/(-10)). Suppose 4*l = 4*h + 8, 9*h + 17 = 5*l + 11*h. Which is greater: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16070, -64067, -143968, -255773, -399482, -575095, -782612?\n\"Answer: -15952*x**2 - 141*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 = 0, -7 = 4*x - 4*l + 1. Suppose 0 = 2*y + 1 + x. Let f be ((-18)\/4 - y)*-2. Calculate the greatest common factor of 35 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f. Let u(z) = -z**2 + 2*z - 2. Let p(a) = a**3 + 10*a**2 + 10*a + 11. Let o be p(-9). Let i be u(o). What is the units digit of j(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -37\nAnswer: 9\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 11 + 6*q - 11*q**2 - 7*q + 5*q + 7*q. Calculate y(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 29. Suppose 0 = -4*t + n*t - 22. Let o = t - 20. Solve -f = -2 - o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/1)\/(-1 + 2). Suppose -w*h = -3*h - 1. What is the common denominator of 41\/24 and (-153)\/(-30) + 3\/h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 21*x**2\/2 + 28*x - 44. What is the derivative of s(c) wrt c?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34831, 34929, 35027, 35125?\n\"Answer: 98*l + 34733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10111010011010 (base 2) to base 3\nAnswer: -121100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 90 = 3*i. Suppose -4*w + 3*j - 16 = -3*w, -5*w = -j + 10. Calculate the lowest common multiple of 0 - ((w - -1) + -12) and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 22 + (-3)\/3 - -1?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - n - 18 + 0*n.\nAnswer: -6*n - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -495014 rounded to the nearest ten thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-1)\/n*n)))**18 assuming n is positive.\nAnswer: n**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + (11 - 6) - (14 - -7 - 10).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39936 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**4\/9 - 656462*f**3\/9 - 53835285110*f**2\/9 + 592903238950*f = 0.\nAnswer: -164165, 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63813741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65314 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3012988 centimeters?\nAnswer: 0.000003012988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*m**2 + 0 - 948\/7*m.\nAnswer: -4*m*(m + 237)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -42\/860417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - ((-14 - (-27 + 12)) + 6).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 25 = 5*a, 3*o - 7*o = -2*a + 16. Suppose a*i - 270489 = -29801. Let j = i - 220344. Round j to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 22. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6*l + 17 = -4*l, 4*k - 4*l + 4 = 0. Let o(m) be the second derivative of 2*m + 6\/7*m**2 + 2\/7*m**k + 1\/28*m**4 + 0. Factor o(s).\nAnswer: 3*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -283*d**2 - 289.\nAnswer: -566*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 80 = d. Suppose -n + d = n. Suppose -6*t + t = -n. What is the highest common divisor of 16 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + q = 6*q + 50, 0 = -3*q - 15. Sort -9, -3, j, 4.\nAnswer: -9, j, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2027 - 8081 + 2021 + 2016 + 2038 - 2*u.\nAnswer: -2*u + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3018 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -380\/73897?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 8 = -5*x, 2*q + x + 2*x = x + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 646 = -2*n + 2*h, 3*n - 4*h - 967 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20897, -1, -5, 5.\nAnswer: -20897, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 372805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8436 divided by 12\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 1. Let k be u(1). Let j be 35*(-1 - (k - 2)). Let h = j + -23. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226 + -146. Let t = m + -47. Let a(p) = 33 - t + p. Let x(s) = -s**2. What is a(x(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -3 + -2)*2. Is (28\/(-10))\/(u\/15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -0.52. Let t = 0.013 - 0.113. What is the closest to t in -0.5, g, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 u, and 1 e when four letters picked without replacement from {i: 1, u: 2, e: 4, q: 1, z: 2, c: 2}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7.6. Suppose 5*i - 336 = -326. What is the second smallest value in a, i, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -115, -110, -105, -100, -95, -90?\n\"Answer: 5*j - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/1)\/1)\/(109\/(357084\/91))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:59 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + sqrt(119)\/sqrt(7)) - (-1*(sqrt(85) - (sqrt(85) - -2*sqrt(85))) - sqrt(85))\/sqrt(5).\nAnswer: -5*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from babbdadlabw. Give prob of picking 1 d and 1 b.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**4\/4 + z**3 + 3*z**2\/2 - z + 2. Let f = -32 + 27. Let r(i) = -2*i**3 - 5*i**2 - 5*i + 2. What is f*q(a) - 3*r(a)?\nAnswer: a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*a*v**3 + 1269*a*v**2 + 4*v**3 wrt v.\nAnswer: -216*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/8)\/((-1 - -2)\/12). What is the closest to 1\/4 in y, -3\/2, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 3 + 3 + (-1 - 3 - 2)*(-215 + 215 - 10*k) + 3 - 3 - 7*k in the form t*k + l and give t.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-18)*(-1)\/(-2))\/(-159 + 160). Let b be ((-4)\/10)\/(9\/5). What is the third biggest value in g, 2\/119, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0325810177 to three decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 1)\/6*0. Let k(n) = n - 10. Let x be k(6). Which is the third smallest value? (a) x (b) 1\/6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-4 - (-7 + -1)) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 347786244.\nAnswer: 347786244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655) - sqrt(6655)*-3)\/sqrt(11) + (sqrt(500) + sqrt(20) + 0)**2 + 2)*-3.\nAnswer: -2166 - 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2019931190.\nAnswer: 2, 5, 127, 439, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -19, -12, 11, 56, 129?\n\"Answer: n**3 - n**2 - 7*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-60)*-3)\/(275\/(-125)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19411 - 78010 = -5*u - 4*m, -m = -5*u + 97401. Suppose -4*v + 74643 = -u. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 22, 53, 104, 181, 290, 437?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**3. Let b be k(-1). Suppose b*u = 3*u + 2484. Let a = u - 151. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 8:43 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14\/21)\/(4\/2))\/(71\/(-3195)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -32337?\nAnswer: 4\/32337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 39*d + 121. Let i be z(-3). What is the derivative of -p - 37*p**4 + 110 + 11*p**4 + 8*p**i + 14*p**4 + 2*p wrt p?\nAnswer: -16*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 6 (c) -3 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*v + 19*v + 18*v**3 + (-v - 2*v + 2*v)*(-v**2 - 4*v**2 + 3*v**2) + 3*v**3 + v**3 - 2*v**3.\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -271 by 1.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588501.\nAnswer: 3, 23, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3004 + 3009. Sort i, 25, 1.\nAnswer: 1, i, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -23*m. Let n(y) = 32 + 0*y**2 - 32 - y**2. Give s(n(o)).\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30184 and 70649425?\nAnswer: 565195400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 667 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p. Let h(y) = y**3 + 5*y**2 - 6*y - 1. Let o be h(-6). Is a(o) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) -0.3 (c) 0.29 (d) 967\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 212220011 (base 3) to base 11\nAnswer: 120a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3)*j*j**28*j)\/(j**(-20\/9)\/j**(2\/13)))**(-4\/7) assuming j is positive.\nAnswer: j**(-15464\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 60*h**2 + 91*h - 120. List the prime factors of x(-62).\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbvgsbgbd. Give prob of sequence sbvs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -74, -150, -226, -302, -378?\n\"Answer: -76*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 + 158*s - 759. What is x(5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.761? (a) 0.9 (b) 2\/17 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12*n**3 + 225*n**2 - 16*n + 47. Determine u(-18).\nAnswer: 3251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041506303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (360\/(-78))\/12*(-3)\/(-15). Which is bigger: p or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 7b?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/48*12 + 243124 + 2. Suppose 16*m + q = -244871. What is m rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11060 + -5351. What are the prime factors of i?\nAnswer: 3, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 8*l + 5. Let c be d(7). Suppose 0*t - 3*t + y + 13 = 0, -3*t - 3*y + 9 = 0. Sort t, c, -1 in decreasing order.\nAnswer: t, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**5 - 2*l**4 - l**3 + 2. Let u(q) = 16*q**5 - 7*q**4 - 2*q**3 + 7. Let s(w) = 7*m(w) - 2*u(w). Factor s(k).\nAnswer: 3*k**3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*z**5 + 328*z**3 - 1158*z**2 + 12683664*z wrt z.\nAnswer: -80*z**3 + 1968*z - 2316","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 plus 4793?\nAnswer: 4792.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftztttzttototttffutt. What is prob of picking 1 u and 1 o?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -47*h**3\/6 - 118*h**2 + 60*h. Let u be s(-5). Which is the closest to u? (a) -1 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5 - 284*p**4 - 1460*p**3 - 1480*p**2 + 1458*p + 1764 = 0 for p.\nAnswer: -3, -2, -1, 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 3*u**2 + 6*u - 3. Let p = -8 + 12. Let z be x(p). Suppose 0*v - 3*d = v - 25, -z*v = -5*d - 165. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-20)*(-350)\/14850*54?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147.602 - -149. Let j = 1.6 - r. Let o = j + -0.20200123. Round o to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*v - 5*v - k - 25, -2*k + 567951 - 567917 = -4*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2. Let j(g) be the second derivative of 467*g**3\/2 + 459*g - 1. What is o(j(z))?\nAnswer: -5888403*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7596251*p*r**2*z**2 - 2*p*r**2*z + 5*p*r*z**2 + p*z**2 + 7588*r*z**2 + 5*r wrt r.\nAnswer: 15192502*p*z**2 - 4*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165 - -688. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*l + 22. What is the lowest common multiple of l and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 28. Let w be 2\/(k\/(-4) + 4). Let o(a) = -3*a**3 - a - 1. Let z be o(-1). Put -6, w, z in decreasing order.\nAnswer: w, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*1)\/sqrt(4) - sqrt(20))\/(1*(sqrt(4)*-4 + sqrt(4) + sqrt(4))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 3 - 3*k - 3. Let h be u(-9). Suppose -9 = -2*n + h*t, -t = -3*t + 10. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 291, 10, 3293?\nAnswer: 3293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 3:08 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence viv when three letters picked without replacement from iviviviviviviivvivvv?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a week?\nAnswer: 10752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*f = -6*b + 208, 4*b = 2*f + 296. Let a = b + -50. What is the remainder when 65 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-48)*17992\/31486?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856273 is divided by 285422.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 11*v - 5. Let c be i(-11). Let h be (c + 3)\/2*-1. Solve 0 = 4*w - h + 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/v**(-4))\/v**(-17))\/(((v\/(v*v**(1\/2)))\/v)\/v)**(-3\/7))**(4\/3) assuming v is positive.\nAnswer: v**(214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + sqrt(637) + 0 + 2) - -2*(sqrt(637) - (0 + sqrt(637) + 1) - (sqrt(637) + -3 + sqrt(637)*2)))**2.\nAnswer: 112*sqrt(13) + 10196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 + 0)*(-3*i + i + 0*i)*(-51 - 15*i + 90 - 30)*(-i + 3*i + i) to the form c + s*i + n*i**2 + d*i**3 and give d.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*5\/2 - -1. Suppose 34 = 123*f - 121*f + 2*i, 0 = -2*f + 2*i + 18. Let p = t - f. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5.9, 2\/3, -1.1, -19, 3\/4, 163?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292826 is divided by 571.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/11 or -164?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1. Suppose 5*b - 21 = -6. Suppose 3*i = -0*i - b. Let n(z) = 0 + 4*z - 3*z - 3 + 2. Calculate i*v(o) + n(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3010*n - 14715. Calculate c(6).\nAnswer: 3345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.19 + -1.81. Let v = 136.8 - 105.88. Let h = v + z. What is h rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 745\/20 - 3\/12. Let y = -32 + v. Suppose y*d = 4*d. Solve d = 3*p - p - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/7)\/(w*w**(1\/2))*((w\/w**13)\/w)\/(w\/(w\/(w*w\/w**(-5\/7)*w*w))) assuming w is positive.\nAnswer: w**(-263\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-2 + sqrt(500) - sqrt(5))) + 1 + sqrt(5) + -4.\nAnswer: -7*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/17)\/(y**11\/y))\/((y\/(y*y\/(y**5*y))*y)\/(y\/y**(-19))))**33 assuming y is positive.\nAnswer: y**(2310\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(5*(-1)\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivpqpqizipvp. Give prob of picking 2 p.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**7\/14 - q**5\/20 + 26*q**3\/3 - 2*q**2 + 14*q. What is the derivative of o(b) wrt b?\nAnswer: -60*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 10:02 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -142\/9921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -37*a**4\/3 - 57*a**2\/2 - 90*a. What is the derivative of u(x) wrt x?\nAnswer: -296*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 3*v**2\/2 - 74. Let q(p) = -11*p - 6*p - 3*p + 3*p. What is q(y(x))?\nAnswer: -51*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-26)\/v**(-3))\/((v\/(v\/v**(-5))*v)\/v)**(-1\/31) assuming v is positive.\nAnswer: v**(-718\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875685 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y**13*y))\/y**(-2))\/((y*y\/(y*y**(3\/11)\/y*y))\/((y*y**(-12)\/y*y)\/y*y)))**12)**42 assuming y is positive.\nAnswer: y**(-126000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 257*y + 257*y - 7*y**2 - 8 + 2*y**3. Calculate o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(4752)*-1)\/(2*(-2*sqrt(1100) - sqrt(11))).\nAnswer: -6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116501134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7039200*a - 10500 = -7039284*a for a.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -287 by -287.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1725 + 1724.92. Let d = -0.31 - -0.01. What is the smallest value in -0.1, d, 1, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 97. Let y(d) be the second derivative of r*d + 3\/2*d**2 + 0 + 0*d**3 + 1\/20*d**5 + 0*d**4. Differentiate y(u) wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (1 - 0) + 4 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33667*a - 34131*a - 14384 = 0 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -49691875*t**3 - 1386750*t**2 - 12900*t - 40 = 0.\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 4*n**2 - n - 2. Let i be k(2). Suppose -i*w - 4*w**2 + 4*w + w**2 - 3*w**3 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(700)*-5 - (sqrt(700)*-5 + -1)) + -5)**2.\nAnswer: -800*sqrt(7) + 70016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 1818 - 262. Suppose 3*b + o = -b. Calculate the common denominator of 4\/6 - b\/(-42) and -145\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.113 (b) 3\/2 (c) -254\/4247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 17. Let u(d) = -3*d - 18. Let f(m) = 10*u(m) + 11*z(m). Let p(b) = 81*b - 15. What is -13*f(i) - 6*p(i)?\nAnswer: 47*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -21*a**2 + 8*a**2 + 4*a**3 + 4*a**3 + 2*a - 20 + 11*a**2 - 9*a**3. Calculate z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2694515270.\nAnswer: 2, 5, 3167, 85081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 14*p - 96 - 180, 0 = 4*u + p + 24 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 + 5*d + 2. Let f(h) = 6*h**2 - h - 7. Let l(i) = 5*i**2 - i - 6. Let m(v) = -6*f(v) + 7*l(v). Calculate 5*m(r) + y(r).\nAnswer: r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3146782210 divided by -2.\nAnswer: 1573391105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/1520 and 107\/816.\nAnswer: 77520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 (base 13) in base 4?\nAnswer: -32231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18535529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43634 divided by -30?\nAnswer: -21817\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 425594.4mm?\nAnswer: 425594400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 127623740 to the nearest 1000000.\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 10093 + r**2 + 0*r**2 + 10087 + 6*r**2.\nAnswer: 8*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/26 and 81\/135658.\nAnswer: 1763554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 985481 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/7*(8 + -1). Suppose 2*w = -o - a - 9, 4*o = -w - 4. Let v = w + 11. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 673544 by -168386.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 0*p**2 + 0*p**6 + 0*p**4 - 8 + 47\/3*p**3 + 0*p**5 + 2*p + 199\/42*p**7. Find the second derivative of q(k) wrt k.\nAnswer: 3980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 20 - (0 - -9) - -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1550790906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5256 divided by -2\nAnswer: 2628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 9:15 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/(-4))\/(1\/(-2)). Suppose -6 = -v + 3*v + 2*t, -z = -v + 5*t. Suppose v = 4*j - 1 - 7. Calculate the least common multiple of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -424 - 80*o + 424 + (4 + 1 - 7)*(3*o - 5*o + 3*o) to p + h*o and give h.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 20 = -5*s, 3*s = -p - 10 + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 1. Let u(z) = 77*z**2 - z + 2. Let w be u(1). Let o = -81 + w. Calculate a(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -146518742*a**2 - 58*a**4 - 10*a + 146518742*a**2 - 8296 wrt a.\nAnswer: -232*a**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 2. Let c be r(3). Let o(s) = -67*s + 21*s + 23*s + 24*s. Let i(u) = -1. What is c*o(f) - i(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 1.1. Let k = 7598 + -7600. Which is the third smallest value? (a) 0.2 (b) m (c) -0.2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 15*l. Let z(j) = j**3 + 20*j**2 - 21*j - 11. Let s be z(-21). Let t(o) = 29*o. Calculate s*f(r) + 6*t(r).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 6*w**2 - 7*w - 4. Let k = 28 - 23. Suppose k*f + 4*h + 33 = 0, h = 3*h + 4. Calculate v(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) + (-13)\/(-2). Determine h, given that 0*h**5 - 3*h**5 + 6*h**4 - 24*h**2 + 26*h**3 - v - 20*h**3 + 21*h = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 6. Let b be h(-4). Let f be (-201)\/(-3)*(-1 - b). Suppose f = 5*n - 43. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.6 + 4.4. Let s be ((-46)\/(-483))\/(1*(-6)\/(-27)). Which is the fourth smallest value? (a) 48\/7 (b) h (c) 0.3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231 (base 4) to base 14.\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-16) + 261\/2. Suppose -3*w - 69 = -3*y, 5*y - k = 3*w - w. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 329*y - 11. What is the tens digit of t(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -7*g - 27. Let w be 1\/g + (6 - (-84)\/(-18)). Let z(q) be the first derivative of 4*q**3\/3 - q**2 + q - 1. Calculate z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*d - 30 + 10 = 0, 2*l - 11 = -5*d. Suppose -20 = f - l. Let m = f + 17. Solve -10 = 4*v + m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (29234150\/(-5750))\/(0 - 1\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5733 - 5737. Is 64.7 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 + -102?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*p = 39*p - 329*p - 821*p - 111714 for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45 and 0.3?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + j**2 + 8*j**2 + (3*j**2 - j**2 + 0*j**2)*(-1 + 5 + 1) in the form a*j**2 + h + d*j and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19947529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189 - -204. Let t be ((-9)\/o)\/(7\/(-10)). Suppose -10\/7 - t*f**2 - 16\/7*f = 0. Calculate f.\nAnswer: -5\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -6.7, -0.3, 0, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(7\/(-3164)*4)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(52) - sqrt(52)) + 0)**2*-2.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 18. Let a be (-38)\/(-14) - (-2)\/u. Let h be -1 - (a + -4 + 2). Put -5, h, 3 in ascending order.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 9. Let g(k) = -4*k + 40. Let n be g(h). Round n to 1 decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -5 - 6 - (389 - 414) - -74?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*4 - sqrt(132))\/sqrt(12) - (sqrt(88)\/sqrt(8) + -4)) + -2)**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 2:08 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 250 divided by -6\nAnswer: -125\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 4) to base 12.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*y + 9. Is (-2 - y - 2)*-89 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 279*x + 570.\nAnswer: -3*(x - 2)*(x + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l - 23*l - 4 + 52*l + 0*l.\nAnswer: 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*l = 5, z - 21*l + 13 - 3 = -10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3\/5 - 112*y**2\/5 - 472*y\/5 - 96 = 0.\nAnswer: -2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3 - 465*k**2\/4 + 689*k\/2 - 165\/4 = 0.\nAnswer: 1\/8, 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/(-60) + (-3)\/12. What is the second smallest value in q, -0.12, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-294)*-220 + 16. Which is the closest to 0.114? (a) 3\/5 (b) v (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/9, 60\/79, -3\/4?\nAnswer: 60\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 25*b**3 + 10*b**2 - 19*b**2 + 3 + 10*b**2 - b**3. What is the units digit of s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g, -5*h + 4*g + 155 = -0*g. Calculate the remainder when h is divided by 10 - (1 - (3 + 0)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 245\/13 - 19. Let b = -6.2 + 6.3. Let i = 2 + -1.8. What is the nearest to i in 3, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5109.7 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48441926 is divided by 309.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 979141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose 99 = 3*s - 5*i + i, -r*i - 102 = -3*s. Suppose 0*n - n - s = -3*d, -4*n = 2*d - 6. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 12:29 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 + 106. Solve -w*u + 15 = 3*t, 4*u = t - u + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/3 - 517*i**3 - 261048*i**2 - 43164900*i.\nAnswer: -i*(i + 438)**2*(i + 675)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 6 (c) -0.014 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 118047999, 236095999, 354143999?\n\"Answer: 118048000*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 d when four letters picked without replacement from dgkgdddkggkggdgdgd.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18538 is divided by 9266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 56*s**2 - 384*s.\nAnswer: -s*(s + 8)*(s + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1377694 and 3614130.\nAnswer: 6178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 15, 2, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69728 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6607353 and 69?\nAnswer: 151969119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*k + 9 = -f, -3*f - k = -7. Calculate the smallest common multiple of 1 + (9 + -2)*f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 0.09307\nAnswer: -1.30298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 9*y - 18 + 33.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0063731343 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 11:40 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -9*r**3 - 3*r**2 + 4*r - 1. Let q = 7 - 4. Let x be m(q). Let l = -170 - x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p + 123 = 7*u, -24322*p + 2*u = -24317*p + 24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 181, -14, -287, -638, -1067?\nAnswer: -1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 4:10 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 4*r + 4*r + 3*r as t*r + z and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305000 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 104 = 295. Let n(a) = -a**3 + 4*a**2 - 4. Let s be n(3). Suppose 20 = s*i - 5*m, o = 3*i - m + 7. Solve 0 = -i*w + 25, k - 3*k = w - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-6 - 0 - (59 - 60)) + 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -383 by -16.\nAnswer: 383\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o. Suppose 4*q - 3 = q. Let r(d) = d**2 - 3*d - 2. What is q*r(c) - 2*g(c)?\nAnswer: c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 85?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191 - -195. Suppose 3*k - i = -2*v, -k + 5 = -4*v - 1. Solve 1\/2*z**4 - 5\/2*z**3 - k + 1\/2*z**5 - 1\/2*z**2 + 4*z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 78, 49, -6, -93, -218, -387, -606, -881?\n\"Answer: -v**3 - 7*v**2 - v + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1191\/62 less than or equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + 26*m**2 + m - 10. Let y be j(13). Suppose -4*r + 5*i + 1318 = -r, 1308 = 3*r - y*i. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 55 = 2*p - 7*p, -p = a + 5. What is the units digit of ((-4)\/p)\/((-2)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + m**4 + 300*m - 10*m**3 - 300*m - 29*m**3 as s*m**2 + r*m**4 + k*m**3 + d*m + v and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0672 - -3.9328. Let v = -26.3 - -22. Let k = v + c. What is the nearest to 2 in 4, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/15 - 2)*115\/(-46)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/11 - 32*a**4 - 93052*a**3\/11 + 17127432*a**2\/11 - 83653830*a\/11 + 66619800\/11 = 0.\nAnswer: -219, 1, 4, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, -3, -11, -23, -39?\n\"Answer: -2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*q + 2 + q**3 - 7*q**2 - 7*q**2 - 2*q**3 - 49*q in the form h*q**3 + d*q**2 + v*q + y and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 7*s - 2. Let v be q(-7). Let a(z) = -5*z + 2. Let f(n) be the second derivative of -n**3 + 3*n**2\/2 + 2*n - 143. Determine v*f(y) + 3*a(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 18. Does 2 divide f(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 5*c - 1. Let x be f(-4). Suppose -5*a + 7*a = 14. Let w(l) = 55*l + 387. Let k be w(-7). Solve -x*h + k = -a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 14*d - 45. Let k be p(3). Solve -15 = -k*c + 18*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-5256.\nAnswer: -525.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and 0.7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2913*g**3 + 5441*g**2 - g - 2 wrt g?\nAnswer: -17478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 26\/(-39)*6\/4. Suppose -r + 2*r = h - 2, 3*h - 21 = -2*r. What is the greatest common factor of j and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046227664 rounded to five dps?\nAnswer: 0.04623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*x + 21*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8106 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by -3\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*j = 2 + 6, 5*j - 32 = -2*p. Let g be (17 - 15)\/((-16)\/p + 2). Let a be (3\/(-14))\/(2\/36). Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 28*t + 2. Let p(r) = -67*r - 53. Let s(h) = -2*b(h) - p(h). Calculate s(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14928698 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/130 and -91\/1474860.\nAnswer: 19173180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 854?\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*y - 4215, -3*y - 18*s + 2508 = -15*s. Calculate the greatest common divisor of 116 and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 637452 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 6. Let f(k) be the first derivative of -2\/3*k**3 + 1 + 0*k**5 + 0*k**2 + 0*k + 0*k**4 + 1\/3*k**i. What is the third derivative of f(d) wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/242744 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = 2*v + 18*d - 26, -5*v + 62 = 3*d. Solve -149*z = -153*z - v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2115 - 5?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -59, -80, -97, -110?\n\"Answer: 2*c**2 - 31*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-15) - (-42884)\/(-5)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 1607291.1?\nAnswer: 1607294.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-7 - -20) + 15).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 86.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -27*u. Let q(p) = -69*p + 135*p - 64*p. Give q(v(t)).\nAnswer: -54*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -424, -665, -936, -1243, -1592, -1989, -2440?\nAnswer: -2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31533 is divided by 14138?\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 78 = 2*h - 4*h, 0 = -5*h - 4*a + 228. Let q be (-16)\/48*1735\/11. Let y = q - -146\/3. Find the common denominator of h and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 42. Let b be y(-15). Let j = 18 - b. Solve j = -3*g - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2311*q - 16159. Calculate i(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 998593 divided by 229\nAnswer: 998593\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/5*(-50)\/(-15). Suppose 54*k - 4*g - 66 = 49*k, 2*k + g = 29. Solve -3*m - m = 2*f + 18, -2*m = -y*f + k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044559944 rounded to 7 decimal places?\nAnswer: -0.0004456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -634*f**2. Let j(a) = a**2. What is j(l(n))?\nAnswer: 401956*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 281*y + 6175. Determine i(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-3\/4))\/b)\/b*b**(2\/3)*b*((b\/b**(-1\/4)*b*b*b)\/b)\/b*b**2*b)\/(b*b\/(b*b*b**(-1\/2)\/b*b*b)*b*b*b**(-9))**9 assuming b is positive.\nAnswer: b**(445\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 72.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 39*c - 378. What is n(9)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o - 141. Give l(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 3*c - 2*c)*(-2 - 2*c + 2) + 2*c**2 + 0*c**2 + 0*c**2 - 34*c**2 - 49*c**2 + 6*c**2.\nAnswer: -79*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 <= 32\/6226195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29c (base 14) to base 7.\nAnswer: -1355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.2 + -5.8. Let j be ((-1)\/2)\/(2\/20). Let i = -1 - j. Which is the second biggest value? (a) -1 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(36))\/(sqrt(3) - sqrt(12)*3).\nAnswer: -sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**4\/7 + 50556*a**3\/7 - 159820088*a**2\/7 + 478500048*a\/7 + 1596684960\/7 = 0 for a.\nAnswer: -2, 5, 6318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -174*h + 19. Let a be x(-9). Suppose 25*j - 20*j - a = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18402739.\nAnswer: 2843, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*v - 198 = -185*v. Suppose 3*y - 20 = 4. What is the least common multiple of y and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o*o**(1\/4))\/o)\/o)\/(o\/(o*o**(1\/6)*o)))\/(o**(-2))**(-5))**(-2\/9) assuming o is positive.\nAnswer: o**(103\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7\/157, -0.4, -154, 0.4, -3, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157 - -224. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 + -0.4. Let t = p + -2. Let z = 1.1 + t. Do 1 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 18, 2\/11, 12, 60, 4, 5\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g - 13. Let n be j(-3). Suppose i = -n + 14. Sort 1, i, -2, 11.\nAnswer: -2, 1, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 6*a + 3 + 27*a - 1 + 2*a**2 - 46*a to s + j*a + i*a**2 + m*a**3 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 5, v: 4}. What is prob of sequence kk?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 2*c - 1. Let k(j) = 2*j**6 - 23*j**4 - 149*j**2 - 12*j + 6. Let w(z) = 6*d(z) + k(z). Find the third derivative of w(a) wrt a.\nAnswer: 240*a**3 - 552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*k + 296 + 124. What is the least common multiple of 36\/(-63) - (-3)\/(k\/(-242)) and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13643 is divided by 12735?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 691834, 691765, 691696, 691627, 691558?\nAnswer: 691489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.9542 litres in millilitres?\nAnswer: 90954.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + 5. Suppose 1 = -4*o + f. Suppose -l + 2 + o = 0. Let t(n) = -2*n + 1. Calculate t(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85245 is divided by 116?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -0.5, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -32345*p**2 + 40*p + 60. Let h(r) = -4621*r**2 + 6*r + 9. Let j(c) = -20*h(c) + 3*x(c). Let u(o) = 2*o**2. Give u(j(f)).\nAnswer: 42596450*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5 = s + 8*z, -3*s = 3*z + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1.0415.\nAnswer: 4.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 14 + 13 - 23*i.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*t**3*u**2 - 45604*t**3 - 131*t**2*u**2 + 715*t*u**2 wrt t?\nAnswer: 60*u**2 - 273624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 33 = -5*h + 13*i, 5*h - i = 29. Solve 14*f + h = 19*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791027 is divided by 790651?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08 - -2.98. Round a to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-144)\/(-15) + 4 - (-4)\/10. Suppose -2*k - 6 + t = 0. Let v(l) = 2*l**3 + 5*l**2 - 4. Let d(u) = -2*u**3 - 4*u**2 + 3. What is k*v(q) + 5*d(q)?\nAnswer: -2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81253 - -6?\nAnswer: 81259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1872195394 to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 684, 685, 686, 687?\n\"Answer: t + 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119171182?\nAnswer: 2, 13, 4583507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*n = 448*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 2665*w**2 - 81490*w.\nAnswer: 5*w*(w - 29)*(w + 562)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Factor 0 + 0*w - 2\/9*w**5 - 4\/9*w**2 - 8\/9*w**f - 10\/9*w**3.\nAnswer: -2*w**2*(w + 1)**2*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a**2 + 1. Let m be h(1). Suppose 0*r = 3*r. Sort 3, m, r in increasing order.\nAnswer: m, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 228 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 229275961 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1134768 times -0.5\nAnswer: 567384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5916600 - -0.8309.\nAnswer: -5916599.1691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 63137 (b) -392 (c) 2 (d) -0.3 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-60)\/9)\/(-1))\/((-24)\/36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 59 + 118 - 59.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 13*j**3\/6 + 14*j + 2. Let k(i) = 2*i. Calculate k(s(v)).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-72)*-9 + 4 + (-235)\/(-4). Calculate the greatest common divisor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-798)\/(-152)*(4\/49)\/2.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y*y\/(y*y**(-4))*y*y))*y*y**(1\/12)\/y)\/(y*y*(y\/y**(-4\/5))\/y*y*(y**(1\/8)*y)\/y) assuming y is positive.\nAnswer: y**(499\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61\/842 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -385928075 divided by -25\nAnswer: 15437123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84803 and 4952?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 7*x**2 - 8*x + 11. Let u be -51*(0 + 3\/9). Let b = u + 9. What is the units digit of m(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1\/26806408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 12) to base 3.\nAnswer: -21020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 151536999 - 2\nAnswer: 151536997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 921161 + -20412.4\nAnswer: 900748.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -912001 (base 11) to base 3.\nAnswer: -2202112000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 7*b + 37. Let u be s(13). Let z = -133 + u. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2318 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 1\/11 (b) 26\/175 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*p + 1, -281 = b + 2*p - 277 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10430315 divided by 2086063.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415*v = 2*q - 412*v - 26, -30 = 2*q - 4*v. Calculate the remainder when 1804 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + t + 1. Let c(q) = -4*q**2 + 9*q + 7. Let p(d) = c(d) + 5*g(d). Calculate the least common multiple of p(-14) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1004043442310?\nAnswer: 1004043442303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**6*v + 499*o**5*v + o**2 - 4*o - 4*v wrt o.\nAnswer: 120*o**3*v + 29940*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -18, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325322368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/4*(-1)\/((-4)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 88 = 4*n - 4*s, -2*s - 62 = -3*n. Let z be 5 + -1 + -2 - 0. What is the highest common divisor of z and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1142, -1185, -1266, -1391, -1566?\n\"Answer: -c**3 - 13*c**2 + 3*c - 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 14 = z, 0*z - z - 4*y + 24 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131637, 131618, 131599?\nAnswer: 131580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 2*h**3 + 2*h - 2*h - 3*h to d + j*h**3 + s*h + f*h**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/15 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + 0*a**3 + 8*a**3)*(-1 + 2*a + 1 - 2) + a**4 - a**4 + a**4.\nAnswer: 11*a**4 - 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7007 is divided by 659?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 0*d + d**4 + (0*d**2 + d**2 - 3*d**2)*(-2*d**2 + 2*d**2 + d**2) + 0*d - d**4 + 0*d + d**4 - 4*d**4 + d**4.\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13188649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/7 and 41\/720?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1116362 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = 0, -k - u + 578 = 3*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156722119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1380)\/(-184)*(3 + -5 + 32\/20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -58 + 214. Suppose -59 - w = -5*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28848*r**2 - r + 85458 wrt r?\nAnswer: 57696*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 45*j**3 + 5*j**2 + 8*j - 1. Let m be p(10). Suppose -16*i + 34117 + m = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.5, 0.5, 2\/13, 7383012?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 4591.\nAnswer: 4590.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30690 take away -1.616?\nAnswer: -30688.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*2\/(-2))\/(21\/(-553)). Let h = 86 - i. Solve 0 = 4*k - h - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/1 - (4 - (2 - -1)). Let i be 12\/(-8)*(0 + (1 - q)). Let y(u) = -23*u + 5. What is the tens digit of y(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**3\/3 - 2*k. Suppose 2*z = -f - 3 + 12, 0 = f - 2*z - 17. Let q = 10 - f. Let t(j) = -3*j. Give q*t(y) + 5*w(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((-31)\/132)\/((-4)\/(-16)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u - 529. Calculate w(59).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3605*y = 3391*y + 3424 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 367547 to the power of 1\/2, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822375 smaller than 2822377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 5. Let u be v(-5). Let g(o) = -o**3 + o**2 - o + 3. Let b be g(0). Let z = 3 + -3. Solve b*i + u*i = z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-574)\/12*504\/(-2646) - 27\/3.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386472682.\nAnswer: 2, 193236341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447, -896, -1345?\nAnswer: -1794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 8 = x. Let r(q) = 0*q - 3*q - 3*q - 15*q**x + q - q**3 - 1. Is r(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:11 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*l**2 + 0 + 2\/5*l**3 + 1\/5*l.\nAnswer: l*(l - 1)*(2*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/33 (b) 4\/3 (c) -2\/11 (d) -1\/3 (e) -253\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 235*t - 2121. Let c(f) = -182*f + 1591. What is 9*c(w) + 7*z(w)?\nAnswer: 7*w - 528","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2)\/((-15)\/(-30)). Let b(v) = -2*v**3 + 3*v**2 + 4*v. Let g be b(m). What is the highest common divisor of g and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -804 and 55929.\nAnswer: -44966916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.019854 millilitres in litres?\nAnswer: 0.003019854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.777 - 0.377. Which is the third biggest value? (a) -21 (b) 4 (c) 0 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l**3 - 17*l**2 - 17*l - 17. Let g = -41781 - -41832. Let a(t) = -t**3 - 2*t**2 - 2*t - 2. Determine g*a(n) - 6*v(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, 4\/3, -3, -0.16, 0.259?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*q = 112, 4*q = -13*i + 12*i + 60. Suppose 45*u = i*u + 55. Calculate the greatest common factor of 45 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2422 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: Let g = 2 + -4. Let o = -5 - g. What is the closest to 2 in 2, o, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -13, -0.4, -169?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 50*b**3 + 105*b**2 - 200*b - 500.\nAnswer: 5*(b - 2)*(b + 2)*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*b**2*f**2*r - 8386*b**2 - 8*f**2*r + 4*f**2 - 1699*f*r + 3 wrt b?\nAnswer: 62*b*f**2*r - 16772*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 377744, 755368, 1132992, 1510616, 1888240, 2265864?\n\"Answer: 377624*w + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242.619 litres in millilitres?\nAnswer: 2242619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269 + 269 - 5*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1210674 grams?\nAnswer: 0.0000001210674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-39)*(-3)\/12.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7))**2*-6 - (sqrt(700))**2*-2.\nAnswer: -12*sqrt(7) + 1352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, -0.4, -0.11 in increasing order.\nAnswer: -1.6, -0.4, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2973, -76, 0.117, 5 in increasing order.\nAnswer: -76, 0.117, 5, 2973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 155 in -1\/64320, 1\/6, -1, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63304 is divided by 20755?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-680)\/10070 + 22\/209.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 1023.5.\nAnswer: 1023.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6310641563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -94.37, 36146 in increasing order.\nAnswer: -94.37, 0.1, 36146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 b, and 1 o when three letters picked without replacement from booooooooooooooy?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 2 + 79*c + 0*c**4 - 78*c - 10*c**2 + 2*c**4 in the form n + f*c + u*c**2 + b*c**4 + w*c**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 11 - 9 = 0, d = -2*f + 72. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12980.3, -2, 0.4, 2\/7, 2?\nAnswer: -12980.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + -4*(3 + -1 + sqrt(11) + 5)*5.\nAnswer: -130 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 7, -0.048?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**2 + 5*m + 6. Let c be y(-4). Suppose -3*o + 25 = -5. What is the remainder when 17 is divided by c\/35*o\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 6. Let a be y(-10). Let d be -16*29\/a*-1. Let f = d - -33. What is the biggest value in f, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112))**2 - (sqrt(7) + 0 + 5).\nAnswer: -sqrt(7) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 64. Suppose 19*h = r*d + 15*h - 2554, -1546 = -3*d - h. What are the prime factors of d?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 76 = -j - 24, 2*o - 5*j = 68. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-44)\/(-518))\/((-20)\/2398). Let d = l - 4\/259. What is the common denominator of (44\/9)\/((-3)\/(-9)) and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/11130 and 7\/39.\nAnswer: 144690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -16\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4971577 is divided by 93800.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 - 309946*v**3 - 16010983836*v**2 - 275687793470840*v + 275703804764624 = 0. Calculate v.\nAnswer: -51658, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by (-20)\/(-100) + 168\/10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89362365 to the nearest integer?\nAnswer: 9453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-56)\/6)\/((-4)\/(-12)). Let h = f + 44. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/2 + 3260*s**4\/3 + 20588*s**3\/3 + 3241*s**2\/3 - 41179*s\/6 - 2167 = 0. What is s?\nAnswer: -2167, -6, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -60*s**3 - 3*s**2 - 12*s - 5. What are the prime factors of a(-3)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73854349 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {q: 4, m: 3, u: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -162.4 * -59\nAnswer: 9581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4\/n**(-4\/7)*n**(-17)*n*n\/(n**(1\/6)\/n) assuming n is positive.\nAnswer: n**(-403\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 40759*z - 29021300.\nAnswer: (z - 700)*(z + 41459)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19499)\/(-34))\/(-37)*-2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -358.45 * -0.2.\nAnswer: 71.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 - -121. Let b = o + -40. What is the second biggest value in 4, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let c(d) = 1260*d**2 + 293*d - 1. Give w(c(b)).\nAnswer: -1260*b**2 - 293*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -22*b**4 - b**2 - 4. Let z(n) = -23*n**4 - 5. Let m(h) = 5*i(h) - 4*z(h). What is the third derivative of m(o) wrt o?\nAnswer: -432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20012021100 (base 3) in base 14?\nAnswer: 32621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 140 = 15*l. What is the greatest common factor of l and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 62 = t. Does 11 divide (-24)\/(-9) + -2 - t\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 812 + -810. Put -1\/3, 28, q, -7\/6 in decreasing order.\nAnswer: 28, q, -1\/3, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5\/6, -2, 4.1 in descending order.\nAnswer: 4.1, 0.1, -5\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/54 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 14 = 9*s. Calculate the least common multiple of s\/(-21) + (-4)\/(-6) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, 1 j, and 1 r when four letters picked without replacement from vrdjdvdjxxjxjvxdi?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 8)\/255*-6. Which is the nearest to 0? (a) 0.1 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12*b - 3. Let i be p(2). Let a(d) = -d**3 + 11*d**2 - 6*d - 3. Let c be a(9). Let u = c - i. What is the greatest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4*q = 3*p + 2, -638 = 4*p - 3*q - 646 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 6 + -3 - -6) + -7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*t - 12. Let j be ((14 - 3) + -2)*-3. Let u = j - -53. Calculate the remainder when u is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**5 + 0*u**5 + u**5 + (0*u**2 - u - u - 3*u**2)*(-4*u**2 + 4*u**2 + u**3) - 2*u**5 - 3*u**5 + 11*u**5.\nAnswer: -2*u**5 - 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*m = 222*m - 704 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/12809544 and -7\/2134924?\nAnswer: 12809544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 7*l**2 - 2*l + 18. Give y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3396b5 + 10?\nAnswer: -3396a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(40)\/sqrt(16) - sqrt(40)\/(sqrt(16)\/sqrt(4))))\/((sqrt(1210)*1)\/(sqrt(2) - sqrt(4)\/sqrt(2)*-5)).\nAnswer: -12*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*-2*-5.\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1345 and -38.057.\nAnswer: -1383.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353756152.\nAnswer: 2, 29, 1524811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 2*z - 5*z)*((-3 + z + 3)*(z**2 - 3*z**2 + 0*z**2) + 0*z**3 - z**3 + 4*z**3) to y + b*z**3 + v*z**4 + o*z + h*z**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 358.11 + -336.1. What is the smallest value in g, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 75*a**2 - 108*a + 3. What is r(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -14 - -5 - (-2 + 8 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1100002012000?\nAnswer: -1100002012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*c**4\/3 + 3392*c**3\/3 - 18100*c**2\/3 + 14704*c\/3 - 112 = 0. What is c?\nAnswer: -14, 2\/85, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 222918\/51080 - 1*-1. Let k be 8\/(-28) - (11619\/(-8939) - -1). Let l = u - k. What is the common denominator of 73\/22 and l?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2481 - 2506. Let i(q) = q**2 + 24*q - 26. What is i(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -221 bigger than -661\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2. Let z(r) = -5*r - 2 - 13 + 8. Let t(o) = -4*o - 6. Let a be 8\/6*9\/2. Let y(f) = a*z(f) - 7*t(f). Give d(y(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -4 (b) 66 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.88 + 0.12. Let v = 10.1 - j. Let l = -1 - v. What is the biggest value in 2\/13, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/4168 and 31\/4168.\nAnswer: 4168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and 45.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 18 + (22\/(-110) - 68\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94318877?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344898 + 89.92949.\nAnswer: 344987.92949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 3:58 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 6552*s**3 + 306*s**3 - 6071*s**3.\nAnswer: -12317*s**3 + 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.232 (b) 18\/11 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 16) to base 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 1 = 2*w - 4, -4*a - 4*w + 20 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.61947 to two decimal places.\nAnswer: 8.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dulldddlddlulldlud. What is prob of sequence ddld?\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7242.87879ns?\nAnswer: 0.000000000011975659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 771807017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119073 to the power of 1\/2, to the nearest integer?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 245726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 14*y - 17. Let s(t) be the first derivative of -5*t**4\/24 + t**3 + 6*t**2 + 24. Let w(p) be the second derivative of s(p). Give -6*c(i) - 17*w(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.70038 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2255, 4697, 7139, 9581, 12023, 14465?\n\"Answer: 2442*n - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001497501 rounded to seven dps?\nAnswer: 0.0001498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*k - 20, 0*k = -3*p - 5*k + 12. Let h be (-6)\/4*102\/(-9). Solve -p*x - h = 5*a, 11 = -5*x - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.07, 11, 1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**2 + 1404*r - 164268 = 0?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -43. Suppose 0 = 2*b - i - x, -3*b + i + i = -39. Suppose 5*k + b = -10. What is the nearest to 1\/3 in 4, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6242015 (base 9) to base 13\nAnswer: -8c996c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + p + 3*p)*(p + 0*p + 0*p) + 3*p**2 + 4*p**2 + 12*p**2 + 0*p**2 - 2*p**2 + 4*p**2.\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/(15\/(-36))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1634, 600, -436, -1474, -2514, -3556, -4600?\n\"Answer: -i**2 - 1031*i + 2666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 26280*s**2 + 606875*s + 1108590.\nAnswer: -5*(s - 5279)*(s + 2)*(s + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6855.608 micrograms?\nAnswer: 6.855608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(125))**2 + -2 + sqrt(125) + -2)*-5 + 1 + 2.\nAnswer: -607 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -4c6?\nAnswer: -4c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3515 is divided by 207?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 433 + 1224?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s, -u - 2 + 0 = -2*s. Suppose u = -4*v - 109 + 537. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/542607807 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14327880 rounded to the nearest 100000?\nAnswer: 14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(-1 + sqrt(3) + 1) - (4*3*(sqrt(3) + -2)*-3)**2.\nAnswer: -9072 + 5176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28295 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -84104.018 rounded to the nearest one thousand?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 5*j**3\/6 + 2*j**2 - 8*j. Let t(n) = 4*n + 4. Let y(h) = 5*k(h) - 6*t(h). Suppose 4*f - 2*f = 0. Give y(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((-717)\/10038).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n - 8. Let z be 44\/(-60) + n\/10. Which is the biggest value? (a) -8 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, o: 5}. Give prob of picking 2 o and 1 i.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465*i**5 - 13476*i**4 - 42984*i**3 + 86862*i**2 + 114585*i - 2250 = 0. What is i?\nAnswer: -25, -5, -1, 3\/155, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 3. Let i(t) = -6*t + 4. Let m(n) = -3*i(n) + 4*l(n). Let d(a) = 7*a + 16. Let p(x) = d(x) - 4*m(x). Give p(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((2\/21)\/((-42)\/9)). Let x be -2*(14\/f - (-285)\/(-42)). Solve -4*v = -n + x, 0 = -2*n + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12958*c**2 - 23096?\nAnswer: -25916*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-3)*5920\/128. Let q = j + 10516. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107)\/(-3) + (8256\/(-774) - 22\/(-2)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 60*o - 258. Determine m(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-10\/3)\/u)))\/(u*u**(-19)) assuming u is positive.\nAnswer: u**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.058063 - 0.05453. What is p rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 6*g**2 - g + 14. Let q be p(6). Let r(u) = -u + 45. Is r(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 96 = -2*c, -3*c + 4*t = 611960 - 612046 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = 6*k - 3*k, -p = 0. Suppose 2*c + 2*l - 5 = 1, -k*l + 13 = 5*c. Solve 0 = 6*w - c*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**3 - s**2 - 14323*s + 315449.\nAnswer: 3*s**2 - 2*s - 14323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(170)*5)\/(sqrt(90)*-1) + (sqrt(170) + -5*-1*sqrt(170) + sqrt(170))\/sqrt(10) + 0.\nAnswer: 31*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 10. Let y be c(15). Suppose y*w + 3*f = 2*f + 53, 5*w - 5*f = 35. Suppose -2*a - 6 = -22. What is the lowest common multiple of a and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*a + 180*a - 369 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 divided by -26.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5 - 30392*r**4 - 547347*r**3 - 1003514*r**2 - 486560*r = 0 for r.\nAnswer: -16, -1, 0, 30410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 369753869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 25. Suppose 2*o + 4 = -5*d, 2*o - 8 = z*d + 6*o. Suppose -r + 2*j + 0 + 2 = d, -5*r + 66 = 4*j. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 254 = -4*d, -9*g + 4*g - 122 = -2*d. Suppose d = -10*f - 34. What are the prime factors of (924\/3)\/(-2)*5\/f?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1224) - (sqrt(1224) + (sqrt(1224) - -2*2*sqrt(1224) - sqrt(1224))))\/(sqrt(128) + 2*sqrt(128) + sqrt(128) - sqrt(32)) + 2.\nAnswer: -6*sqrt(17)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23692549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*x + 3390 = 280, -4*x = 4*t - 3112. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8076 or -7312?\nAnswer: -8076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-64) + 74\/(-16). Let i(u) = -67*u + 37. Let n(w) = 101*w - 55. Let d(m) = p*n(m) - 8*i(m). Differentiate d(z) with respect to z.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/11, -1, -34\/7, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -19c1?\nAnswer: -19c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y - 2*f = -802043, -2*y - 12*f + 69737 = -13*f. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 28) + -7 + (11 + 1 - (58 + -51))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297193 is divided by 432247.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + c - 233739 = -233881 for c.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*u = 23, u + u = 2*v - 16. Suppose -v*s - 4 = -7*s. Let c be (s\/6)\/((-13)\/156). Which is greater: 1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-14))\/(92\/48 - 2). Let k be 63\/(-12) - (-5)\/(120\/w). What is the closest to 32 in 0, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 332705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 5 = -3*x. Let q be 27\/(-6) - 2\/(-4) - -26. Suppose -q = -5*o + x. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3447800 is divided by 1149020?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 17 + 7. Let k(j) = j**3 + 6*j**2 + 5*j. Let y be k(z). Let w be (-5)\/((25\/(-15))\/((-92)\/(-69))). Solve 4*b + u - 9 = y, -1 = 3*u - w*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 9:27 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s. Is 35\/1 + -2 + s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16450757?\nAnswer: 16450757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 + (-42)\/(-8). Find the third derivative of 5*r**4 + 5 - q + 2*r**2 wrt r.\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*c**3*o**2 - 69*c**3*o - 346*c**2*o**2 - 119*c**2*o - 2*c**2 - 2*c*o - 322*o**2 + 3*o + 24 wrt o?\nAnswer: 130*c**3 - 692*c**2 - 644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2. Let f(h) = -4*h - 69. Give f(n(g)).\nAnswer: 8*g**2 - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 1 + 61*z**2 + 46*z**2 + 2*z.\nAnswer: 107*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*p + 5*j - 4, -2*p - 6 = 2*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -317\/2 + 1159\/14. Which is smaller: z or 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 3aba?\nAnswer: 3abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one halves of a gram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.12, 3.6, 0?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71\/3 + -214\/9. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 1466672.619?\nAnswer: -1466672.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 4*l - 1. Give x(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 6, u: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.09+18.539\nAnswer: 16.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 770313 by 3.\nAnswer: 256771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2640.2 - 2640. Which is the second smallest value? (a) y (b) 11\/3 (c) -3\/2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12 + -10)*5\/(-2). Let m(f) = -f**2 - 5*f + 8. Let w be m(-6). Put h, 4, w in increasing order.\nAnswer: h, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(288) + 1 + -4)**2.\nAnswer: -24*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - r = 42004, -7*i + 2*i = -5*r - 42000. Let m(a) be the second derivative of -29*a - 8401*a**2 + i*a**2 - 3*a**3. Let v(w) = -w**2. What is m(v(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by (-7)\/(-91) - 207\/(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46ac (base 13) to base 15\nAnswer: 2e2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/b*b)\/b*b)**(12\/11)\/(b**4*b*b*b\/(b*b\/b**(2\/7))) assuming b is positive.\nAnswer: b**(-323\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5 - 9*m**4\/4 + 151*m**3\/2 + 411*m**2 + 578*m + 120 = 0. What is m?\nAnswer: -6, -4, -2, -1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474 is divided by 245.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20483689 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*(y\/(y*y**(-3\/7)\/y)*y)\/y)**(-46)*y**(-29)*y**(2\/5) assuming y is positive.\nAnswer: y**(-8131\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9457, 17206, 30123, 48208, 71461?\nAnswer: 99882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*w - 45, -20 - 1 = -w - 3*s. Suppose -8 + 15*c + 2 - 3 - w*c**2 + 0 = 0. Calculate c.\nAnswer: 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1776 (b) 2\/7 (c) 0.72 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348 and 957?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = 22*z - 26*z, 0 = -5*z - 5*m - 10. Let j(a) be the second derivative of 0 - 2\/3*a**3 + 8*a + z*a**2. What is j(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-20))\/((-6)\/(-8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 1 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 6623 = -3652. Does b = -683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 + 2*s + 1. Let d = -8 + 10. Suppose -d*a - a - 18 = -3*w, -w - a - 4 = 0. Let k(v) = v. Determine w*p(i) - 2*k(i).\nAnswer: 2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 3. Let z be b(2). Solve -z*p - 6 = -0*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 121\/3. Let p be -1 + 4 + 56\/(-21). Factor 0 + p*f**2 + g*f.\nAnswer: f*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/28)\/((-1)\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 4*y**2 + 20*y + 77. Let r be b(-5). Solve 4*d = 4*v + 20, -r*d - 5*v + 3*v + 6 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 109, 109, 101, 79, 37?\n\"Answer: -x**3 + 2*x**2 + x + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = f - 28, f = 5*f - 2*v - 120. Suppose f = -4*l + 5*p, 0*p - p = -4. Let n(c) = c - 1. Let s(y) = -2*y + 2. Determine l*s(r) - 5*n(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.36665489 and 2?\nAnswer: 1.63334511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 7 - 4 - 3. Let f be -12 - (-3 + 0 - -2). Let i(z) = -1. Let g(q) = -3*q - 15. Let y(u) = g(u) - 15*i(u). Calculate f*p(r) + 4*y(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 + -131 + (-15 - (2 - (0 + -1))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931056?\nAnswer: 2, 3, 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/170 and ((-30)\/(-85))\/(2052\/(-72)).\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnnbwbwbwhnbx. What is prob of picking 1 n, 1 w, and 1 b?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -2*c**7\/3 + 2*c**6\/3 + 23*c**5\/5 - 29*c**4\/3 + 8*c**3\/3 + 8*c**2 - 2*c + 6. What is t in n(t) = 0?\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411576 divided by -22.\nAnswer: 18708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*m + 19 + 8 = 0, m - 22 = -5*p. Let l = -2.01 + 0.01. Let o = 0.8 - 4.8. Which is the closest to -2\/5? (a) o (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13270 = 99*s + 12775. Let v = 6 + 10. Solve -s*a + v + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 + 70894?\nAnswer: 70906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-22) + (-10)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 931, 1852, 2757, 3640, 4495, 5316?\n\"Answer: -r**3 - 2*r**2 + 934*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383 greater than or equal to 2343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aailiaiiilllxixli. What is prob of sequence xlii?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (136\/36 - 1) + 20\/90. Let g(v) = -1 + v - 6*v**2 + 12*v**2 + 4*v**f - 3*v**3 - 5*v**2. Give g(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 410060.1g?\nAnswer: 410060100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 29, 130, 323, 638?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(1 + sqrt(28)\/sqrt(36)*2).\nAnswer: -40*sqrt(7)\/3 - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -361 - -358. Let n = 0.7 - 0.2. Which is the nearest to -0.05? (a) 0.1 (b) n (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/549997 and 30\/49.\nAnswer: 3849979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -88128*q + 208. Let p be c(-14). What is p rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 18*f - 17*f. Suppose -3*y = -y - f*k - 100, -3*y = 3*k - 114. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t. Let a(l) = 1670*l + 2. Determine -a(k) - 6*j(k).\nAnswer: -1610*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3590 and 14.\nAnswer: 25130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71304 divided by 6.\nAnswer: 11884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(1\/4)\/b*b)*b**(-2)*b)**(2\/25) assuming b is positive.\nAnswer: b**(-1\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(567).\nAnswer: 4 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -268701 - -674360. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbcb when four letters picked without replacement from {c: 3, b: 12, n: 1}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49042.\nAnswer: 2, 7, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -26\/17*t - 2\/17*t**2 + 0 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 2 + 369*i - 245*i.\nAnswer: 124*i + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -5*j**2\/2 - 168*j - 178. Let o be a(-36). Solve o*b = 10*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -18*j - 174. Give w(-14).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 16. Which is the biggest value? (a) 4 (b) z (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/j**(3\/7))\/(j**(-4)\/j**(-2\/9))*((j\/(j\/(j**(-7)\/j)))\/j**(1\/9))**32 assuming j is positive.\nAnswer: j**(-16582\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(10\/8) + 5)*-7. Let u = 432 - f. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17279177 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14304392 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5715653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -2 + sqrt(19) - (-2*sqrt(95))\/sqrt(5)) + -4 + -5)**2.\nAnswer: -132*sqrt(19) + 805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 4, j: 14}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 12551828?\nAnswer: 11\/12551828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -1 (c) -6\/7 (d) -59\/5 (e) 1 (f) -119\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h. Let w(k) = k**2 + k - 1. Let z(f) = 2*f**2 + 4*f - 81. Let x(q) = -4*w(q) + z(q). What is n(x(o))?\nAnswer: -2*o**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10)\/(((-5994)\/27)\/74)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 11973 = -2433. What is the smallest common multiple of u and 30?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3, -0.5, -5, -10303?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Suppose 0 = -n - 1, -2*w + 15 = m*n - 18. What is the highest common factor of 209 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/35 and -97\/120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 7 = 3*b + p, b - 7 = p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 15 = 2*p. Suppose -1 = 4*w - 13. Sort -3, w, -7, p in ascending order.\nAnswer: -7, -3, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let u = 0.3 - 0.2. Let w = -0.1 - u. Which is the closest to o? (a) -0.5 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*c**5*q - 17*c**3*q**3 - 2*c*q**3 - 18*q**3 wrt c?\nAnswer: 300*c**3*q - 102*c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*h - 4716, h = -2*l + 7*l + 11790. What is the tens digit of (-6)\/2*l\/54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:06 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*t + 23*t + 2 + 58*t)*(-t**2 + 0*t**2 - t**2 + 2) in the form x*t**2 + v*t + m + b*t**3 and give b.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 335786764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9766.20609114 - -9765.2531. Let j = 0.953 + y. What is j rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 9:41 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -817183, -3268730, -7354643, -13074922?\n\"Answer: -817183*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a. Let r(z) = 4*z. Suppose -3*m - 6 = 3. Let u be (m - -8) + (-2 - 112). Let o = -106 - u. What is o*x(s) + 4*r(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -1a?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 179298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -1.6, -3, -4?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 378869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 3*p**2 - 4*p - 12. Let i(q) = 5*q**3 - 14*q**2 + 15*q - 9. Let m be i(2). Determine c(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*(-32)\/100.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (4 - 3 - 2). Suppose s*t = 58 + 22. What is the greatest common divisor of t and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 16 = 5*i. Solve 0 = -i*j + 8 + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -8, 1, -1, 0.\nAnswer: -8, -1, 0, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 0.558359958.\nAnswer: 3.558359958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 51114*j**2 - 3*j - 1. Let r be w(-4). Suppose -1882165 = 3*o + r. What is o rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-5670)\/63)\/180)\/(1\/(-22)*-1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/((2\/4)\/((-90)\/(-270))).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -20 - (-4 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.6 - -0.6. Let d = w + 15.035. Round d to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 835.55 + -835.643191. What is k rounded to three dps?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**2 + 189 + 202 - 2*s - 603 + 212.\nAnswer: -16*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106404 to the power of 1\/2, to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 12:02 PM?\nAnswer: 245","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*(((sqrt(153) + 0)*-5 - sqrt(153)) + -2 - ((sqrt(153) - (1*sqrt(153) + -2 + sqrt(153) - sqrt(153))) + -3))**2)*-1.\nAnswer: -22037 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -478*o**4 + 23*o + 9?\nAnswer: -5736*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 2. Let j be c(-5). Let k(t) = 4*t - 1. Let d(w) = -20*w + 6. Let o(g) = -2*d(g) - 11*k(g). Let h(b) = 13*b + 2. Give j*o(n) - 2*h(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -7. Let a be 183\/(-965) + 5\/(19 - r). Is -1 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 + 2*z**2 - z - 2. Let j be v(2). Let n be (-6)\/8 + 749\/j. Suppose n = 5*k - 29. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -122*x**3 - 139*x**2 - 5*x + 5. Let d(s) = 60*s**3 + 69*s**2 + 2*s - 2. Let m(b) = -5*d(b) - 2*i(b). Find the third derivative of m(t) wrt t.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 16*u - 55 = 0. Which is the closest to -1? (a) 0.4 (b) 4\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y + 15. Let v(r) = 3*r - 5 + 4 - 4*r. Suppose 0*q = 6*q - 90. Give q*v(z) + u(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 + 47 = 20*j. What is the highest common factor of j and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25264464451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/14457 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, p: 3, v: 2}. What is prob of sequence vv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -1. Let r be (12\/d)\/((-11)\/(-76163)). Let x = -10388 + r. Find the common denominator of x and -35\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 5*m + 1. Let b be a(3). Solve -5*n + 10 = p - b, -p - 2*n = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 * 886533.\nAnswer: 274825.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 9:37 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*f - 2 - 4. Put f, -0.5, 9, -15 in descending order.\nAnswer: 9, f, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k. Let t(s) = -23*s**2 + 27. Let f(r) = -6*r**2 + 6. Let p(m) = 18*f(m) - 4*t(m). Give a(p(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8589 + 33157. What are the prime factors of o?\nAnswer: 2, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -43. Let n = -14 - g. What is the least common multiple of n and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54145 divided by -10829\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from ogqqeggqeqqveeoveq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + v + 39 = 8, -3*a = 4*v - 100. Solve -2*j + 26*j - 9*j**4 - a*j**2 + 36 - 24*j**3 + 5*j**4 = 0 for j.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(14)*1)\/sqrt(7).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 11, p: 1, o: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.93 - 0.07. Let w = -6377\/146 + 3225\/73. Which is the third smallest value? (a) w (b) j (c) -29 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*o - 140062, -o - 84038 = 111*v - 114*v. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52726696 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 - 2. Let l = -0.49 + 0.09. Suppose 3*h + 5 + 3 = -4*o, 0 = -o - 2. What is the nearest to h in l, -1\/7, a?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000813675 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7213321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2 - 4. Suppose -l*h - 3*h + 687 = x, -4*x + 5*h = -2873. Suppose n - x = 711. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7400 rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(3*h**2 + 0*h**2 - 5*h**2) + (-h - h - 3*h)*(3 + h - 3).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5301 - -21207\/4. Let -1\/8*n**3 + 1 + a*n - 3\/8*n**2 = 0. Calculate n.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3ded7 (base 15) to base 10\nAnswer: -199102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 2b?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -652 - -652.000000182. What is a rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 - 42*z**2 + 12*z. Let m(a) = -2*a. Determine j(y) + 6*m(y).\nAnswer: 2*y**3 - 42*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51861838 to the power of 1\/2, to the nearest integer?\nAnswer: 7202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(1000\/(-75)*(-144)\/(-40)))\/((-8)\/3).\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in decades?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(18\/(-60)))\/(((-4)\/48)\/(127\/254))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460 and 1564.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*r + 474 = -629, 551 = c - 2*r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1106055470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 4\/5, -0.01, -2\/289?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 867370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1515 (base 8) to base 11\nAnswer: 6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/664 and -69\/1566076.\nAnswer: 259968616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*o - a, 2*a + 10 = -2*o + 40. Let b = 8 - 12. Does 20 divide 200\/b*(-12)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -3a54b5?\nAnswer: -3a54b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 12:01 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21752 + 10879 + 7*n**2 + 10875.\nAnswer: 7*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*h*h*h**0*h*h)\/h*h)**21)**(1\/2)\/((((h\/h**(-1\/4))\/h)\/h)\/(h*(h**(-4)\/h)\/h))**7 assuming h is positive.\nAnswer: h**(175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5198 - 241*h + 2596 + 2600 as s*h + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*z**2 + 150*z**2 + 12*z**3 - 423*z**2 + 128*z**2.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12689 + -6654359.122\nAnswer: -6641670.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 + 10156\/18. Suppose -8*m - 39 = 5*m. What is the hundreds digit of 4\/(-2*2*m\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100020121 + 12?\nAnswer: 100020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274168.5 litres to millilitres.\nAnswer: 274168500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2403, -4808, -7217, -9630?\n\"Answer: -2*d**2 - 2399*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2 - 258*i - 3115. Give k(-48).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvv when three letters picked without replacement from vlvkpkuuvuuuklu?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (4 - (7 + 4))) + 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 851000 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2733*p**2 - 1366*p**2 - 1368*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1248*p**2 - 1248*p**2 + 55 - p**3 - 99.\nAnswer: -p**3 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/6*(-93918)\/(-18499)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 229, -0.3, -84.\nAnswer: -84, -0.3, 3\/5, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -40. Which is smaller: 0.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 23*o**2 - 25*o + 41. Determine q(22).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -42, -0.8, -0.21, 0.3?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2324 + 12104114?\nAnswer: 12101240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 2*b**2 - 4*b - 1. Let q be w(-3). Suppose -4*d - 2 = -q*d. Let z(j) be the first derivative of -14*j**3\/3 + j**2 + j + 161. Give z(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2013*t - 3889*t + 1876*t - 6*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g + 2. Let l(b) = b. Let u(s) = -6*l(s) - m(s). Determine u(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 829 - 829. Suppose 4*l - i - 5225 = -4*i, a = -3*l + 2*i + 3940. What are the prime factors of l?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 8. Let g = -19.9 - -17. Let n = d + g. Which is the closest to 1? (a) n (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 - 128*c**3*l**2 - 6*c*l**2 - c + 58*l wrt c?\nAnswer: -40*c**3 - 768*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11814 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 - 17\/(-5). Let f be (6\/(-3))\/((-1)\/g). Suppose r - 4*b = 40, -5*r - b + f*b = -200. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44668.\nAnswer: 2, 13, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 - 13) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -p - 4*z, 3*p + 26 = -2*z + 3*z. Let b(t) = -2*t - 2. 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 z = 252 + -251. Which is smaller: z or 24\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 271822, 271809, 271772, 271699, 271578, 271397?\n\"Answer: -2*j**3 + j + 271823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 - 34. Let o = -115.99884 + m. What is o rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - 0. Let u be -2*2*(-9)\/j. Sort 2\/5, u, 5 in decreasing order.\nAnswer: 5, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 54 + 42. Suppose 0 = j*u - 16*u - 36664. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.958715 years in months?\nAnswer: 23.50458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -0.1 (c) 2 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6233281\/4 or -1558319?\nAnswer: -6233281\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98703 is divided by 19736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 7*w - 16. Let s be u(9). Solve -d - s = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from xxpppxxtxtxxp?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 17*i**2 - 10*i + 96. Let b be (4 + (-224)\/40)*(8 - -2). What is c(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21113 is divided by 1624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2073 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2210 - 2210.00001089. Round i to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 146*t. Let s(b) = -12*b. Give s(i(r)).\nAnswer: -1752*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 5. Let j(h) be the third derivative of 3*h**4\/8 + 7*h**3\/2 - h**2. Calculate -5*j(a) + 21*x(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 6 + -10 - -1) + 10 + (-2 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19 and -0.278.\nAnswer: -19.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - z + 0*z = -18, -9 = i + 2*z. What are the prime factors of (124 - i) + -9 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-372)\/45)\/(-2) - (-18)\/(-135). Suppose 3*x + 6*r - 3379 = 7*r, -1141 = -x + k*r. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 82291, 82673, 83055, 83437?\n\"Answer: 382*t + 81909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 1 - -17)*1\/2. Do 7 and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/24*(-39852)\/(-984)*(-8)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3 - 6*w**2 + 1. Let t be a(4). Let j = -85 - t. What are the prime factors of (-2)\/(-5) + j\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2 = -a + 3*c, 5*a + 62 = 2*c. Is 2*7\/a + 17468 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**3 + 14*l**2 + 2*l - 24. Let b be u(12). What is b rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13012403 (base 5) to base 16.\nAnswer: 1ec1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 332083911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 203004?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 54880.\nAnswer: -54880.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 11*i**2 + 18*i + 59. What is m(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) - 24\/(-110). Let g = -134.4 + 134. Which is the third smallest value? (a) 3\/8 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*c*r - 15999688*a**3*c + 1859*a**2*c*r + 2*a**2*r + a*c*r - 6*a*c - 2*a - 11*c*r - r wrt a?\nAnswer: -12*c*r - 95998128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 2 (c) -2 (d) -18.9 (e) -0.7 (f) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 12 - (-3 + -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -2)*-2.\nAnswer: -6*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4385 = 14*p - 4225. Calculate the greatest common factor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -33 (b) 6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + p**2 + 0*p**2)*(-3 + 3 - 3*p) - 3*p**3 + 8*p - 8*p.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -654*n**4 + 655*n**4 + 203*n**2 + n**3 - 45*n**2 as q + d*n + z*n**2 + o*n**3 + k*n**4 and give z.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*o - 74*o - 24*o + 32)*(19*o**2 - 19*o**2 + 3*o**3).\nAnswer: -9*o**4 + 96*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(6\/5*(-1050)\/(-90))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 267*v**2 + 2901*v + 5366. What is m(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 6*d**2 + 2*d**2 + 0*d**2 + 3*d**2 - d to the form x*d**2 + z*d + r and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, 684, 13\/7 in increasing order.\nAnswer: -0.26, 13\/7, 684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79353*a**3 + 158712*a**2 + 79365*a + 6 = 0 for a.\nAnswer: -1, -2\/26451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*s**2 - 67*s**2 - 37*s**2 + 14 + 155*s**2 as y + f*s**2 + t*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 24*o**2 - 117*o - 2. Let v be b(6). Let r be (-3)\/2*(v\/105)\/8. What is the nearest to -9 in -5, 0.1, r, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134328 and 696?\nAnswer: 134328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**3\/6 - 9*k**2\/2 + 2*k. Let i be v(-7). Let a be (i - 88\/(-42))*-3. What is the biggest value in 0.5, a, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 4:47 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 3*h**2 + 3*h - 3. Suppose 6 = -5*n + 16. Let m be l(n). Let b be m - (-17 - -1*2). What is the greatest common factor of 126 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 151*l.\nAnswer: -l*(l - 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*g = 6 + 8, 2*q + 6 = -3*g. Suppose z = -q*z - 4. Let j be 1 + ((-22)\/(-18))\/z. Is j greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/5 - -15 - (-20)\/(-4). Which is bigger: -72\/85 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 203 + 327?\nAnswer: 52a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y, 0*s + 2*s - 28 = y. Let w be s*(-5)\/10 - 0\/(-3). Let l = 68 + w. Calculate the remainder when l is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5037 and 4054647.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12922602 and 38346?\nAnswer: 12922602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**3 - 2*d**2 - 2*d - 3. Let l be f(-2). Suppose 4*a - 156 = -4*q, 2*a = -q - 0*a + l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*u**4 + 414 - 414 + (4*u**3 - 3*u**3 - 3*u**3)*(-2 + 2 - 2*u) + 2*u - 2*u - 3*u**4 + 2*u**3 - 2*u**3 + 9*u**4.\nAnswer: 23*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3703 - -3700. Let v = -689\/5 + 137. Sort v, -3\/7, 3, i.\nAnswer: i, v, -3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4511 - 1476. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*g + 2*g = 10, 3*w = 2*g - 4. Let u = 2 + w. Suppose -1 = a - 2*a - l, l = 2*a - 2. Solve -5*o = 4*j + 17, u*j + a + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.3 - -10.448. Let q = w - 2.2. What is q rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4249 (b) 1\/11 (c) -5.9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11 = a, 3 = -a + 3*c + 2. Suppose n = -n + 42. What is the tens digit of (-93)\/a + (-6)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*f + 43, -2*f + 50 = 5*s + 3*f. Suppose 0 = -2*o + 5 + s. Suppose -3*r + p + 5 + o = 0, p - 1 = -2*r. Solve x + r = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1471\/65, -1\/3?\nAnswer: -1471\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c = 6. Let v be (9\/5)\/(4 - 185\/50). Factor v + 0 - 10*z**c - 1 + 5*z**4.\nAnswer: 5*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7587 is divided by 550?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472\/19824*-2*42\/72.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54118 divided by -46.\nAnswer: -27059\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 12 - 2*d - 5*d**2 + 4*d**2 in the form p*d**2 + r*d + y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16686 and 540?\nAnswer: 166860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 2, m: 2, a: 7, u: 2}. What is prob of sequence auf?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*m - 22, -2*m - 4*l - 7 = 5. Let c be (m + -1)\/((-3)\/(-45)). Solve -2*j = 3*j + c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 5, -1680\/19, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28218, 112957, 254188, 451911, 706126, 1016833?\n\"Answer: 28246*z**2 + z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/580 and 1\/3480.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -2*l**3\/3 + 5*l**2\/2 - 3*l. Let x be n(2). Let c be ((-3)\/(-6))\/(x\/18). Put c, 2, -4, 1 in ascending order.\nAnswer: -4, c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 3*n**2 + 2*n**2)*(-n**2 + 5 - 5) + 3*n**4 + 6*n - 6*n - n**4 + 4*n**4 - 2*n**4.\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(5\/(10\/4)). Let g(f) = -809*f**2 + 9*f - 9. Let n(l) = -810*l**2 + 8*l - 8. Let h(b) = q*n(b) + 3*g(b). Is h(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times 8.29\nAnswer: -1.4922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 0. Let q be (-4)\/(8\/m) + -58. Let d = 58 + q. Solve 0 - d = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58435 is divided by 14595?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*q**2 - 5*q\/2.\nAnswer: 5*q*(4*q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/5 - 26618*q**2\/5 + 88578048*q\/5 - 88551432\/5 = 0.\nAnswer: 1, 6654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 6:10 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111542697 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.01915 (b) -4 (c) -6 (d) -0.5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35466375193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -7*o**5\/10 - 2*o**3\/3 + 8*o - 8. Let m(f) be the first derivative of x(f). Find the second derivative of m(c) wrt c.\nAnswer: -84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3 + 11, 5*b + t - 2727 = 0. Suppose g - 2*j - 195 = 0, -5*g - 5*j = -b - 385. Is g a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*r**3*y + r**3*z - 10*r**2*y**2*z - 3*r*y**2*z - 55*r*y**2 + r*z - z wrt r.\nAnswer: -42*r*y + 6*r*z - 20*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400312 divided by -22.\nAnswer: -18196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/56448 and 179\/2520.\nAnswer: 282240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18475?\nAnswer: 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5 - (-48 - -5)) - (55 - (19 + 28)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:24 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 2*v + 3. Let d be r(-3). Let u be (-3)\/(-6) + 759\/22. What is the tens digit of d + -7 + 4 + u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6)*b)\/(b**(1\/4)\/b*b)*b\/b**(-7)*b*b**(-2\/11)*b*b*b assuming b is positive.\nAnswer: b**(861\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r + 5*r)*(0 - 3 + 4).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -14*i**2 - 568*i - 139. What is g(-40)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-153)*((-288)\/3)\/4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/((-9)\/88) - 4?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/9753 + 9755\/19506. Which is the nearest to -0.2? (a) g (b) 3 (c) -1\/121 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 14*t = 16. Solve 6 = -k + 4*y, -3*k + t*y - 4 = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(1 + 3)*-2. Suppose 11 = 4*w - d. Suppose 210 = 2*x + w*x. Calculate the greatest common divisor of 28 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3121139.05 rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-78)\/1456 + 81\/(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 728 and 392?\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/540 - g**4\/216 - 9*g**2. What is o in n(o) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -239. What is the hundreds digit of ((-27588)\/y)\/(1\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 21 + 201. Let n be (-122)\/(-5) + 4\/(-10). Calculate the highest common factor of k and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43943, -88763, -133583?\n\"Answer: -44820*a + 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -174 and -31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kci when three letters picked without replacement from {k: 6, c: 3, i: 6}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/9)\/(1\/(-9)). Suppose u*y + 5 = y, 311 = 5*v + 4*y. Calculate the remainder when v is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-20))\/(5\/5*33\/88)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m - 10, -a - m - 9 = 0. Suppose -3*q - 2*q - 10 = 0. Let o = q - a. Solve 3*h + 9 = -6*x + 3*x, -3*h = -o*x - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) - 1638\/(-30). Let a = -180 + h. What is the units digit of (-4925)\/a + 4\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4976, 9911, 14848, 19787?\n\"Answer: j**2 + 4932*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.5 + -8.5. Let d = -992\/11 + 90. Which is the closest to 1\/4? (a) -0.5 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**3 + 10*n**2 + 29*n + 32. Let o(g) = -55*g**3 + 110*g**2 + 320*g + 350. Let i(y) = 65*h(y) - 6*o(y). Factor i(w).\nAnswer: 5*(w - 4)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-6)\/4*5)\/((-3)\/4) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -82\/5085 > 1974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 637*x**2 + 3*x + 3. Let w be c(-2). Let a = -3565 + w. Round a to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 2*w - 25. Calculate m(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.519 months in years?\nAnswer: 13.04325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.89 + -8.89. What is the third biggest value in j, -2, -2\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 12 = 2*v. Let q(x) = 9*x + 7. Let l(d) = 4*d + 3. Let h(w) = -7*l(w) + 3*q(w). Let y be h(v). Is y <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6))**13\/(p**(-2\/3))**(-36) assuming p is positive.\nAnswer: p**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 18 = -7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**5 - j**3 - j**2. Let c(q) = -20*q**5 - 11*q**3 - 11*q**2 - q. Let z(o) = 2*c(o) - 22*h(o). What is the second derivative of z(p) wrt p?\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-3)*o**(-4\/7)\/o)\/(o**(-3\/8)\/o**(-4\/7)))\/((((o*o**(-4)*o)\/o*o)\/o**(3\/8))\/(o**(-2\/3)\/(o*o*o\/o**(-2)))) assuming o is positive.\nAnswer: o**(-89\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, q: 1, r: 5, z: 1}. Give prob of sequence irzq.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 27*f**2 + 16*f - 15. Give h(-14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 266205 = -5*s + 41208, -2*s = -4*d - 300022. Let i be (-6)\/9 - (-10)\/6. Let h be d*i - (-4 + 0). Round h to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -769\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -61858691*c**2. Let t(j) = -2*j**2. Determine t(n(m)).\nAnswer: -7652995304466962*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 19772*v + 7624078\/5.\nAnswer: -2*(v - 77)*(v + 49507)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2436*c**4 + 5*c + 10?\nAnswer: 29232*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*v + 27*v - 98496. What is the highest common factor of v and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 312.3371 nanograms in tonnes?\nAnswer: 0.0000000000003123371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14126, 14128, 14130, 14132, 14134?\n\"Answer: 2*l + 14124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -5*l**3\/3 + l**2\/2 + l + 1. Let p = 54 + -55. What is r(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 284077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 126910*l**2 - 2537400*l.\nAnswer: -2*l*(l + 20)*(l + 63435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 152*x**2. Let w(s) = -8*s. What is n(w(i))?\nAnswer: 9728*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32777 - -1?\nAnswer: 33000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, -44 in descending order.\nAnswer: -2, -13, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1941 + -1937. What is the smallest value in 1\/5, r, -1, 9\/13, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-10) - -4)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2245378, 2245158, 2244938, 2244718, 2244498, 2244278?\n\"Answer: -220*s + 2245598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 11253 = 5397. What are the prime factors of w?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235 - -235. Sort 4, s, -1.\nAnswer: -1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18\/17, 2\/9 in descending order.\nAnswer: 3, 2\/9, -18\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1108.1 + -1108.3. What is the nearest to a in -8.1, -4\/7, 4\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, v: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 396052711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/256 and -53\/1432672?\nAnswer: 11461376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3001034342 + -12?\nAnswer: -3001034404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**5\/15 + 11*d**4\/24 + 4*d**3\/3 + 2*d**2 + 5*d. What is the first derivative of g(p) wrt p?\nAnswer: 8*p + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-40))\/((-2)\/20). Solve 8*i - 3*i - 8 = -2*u, u + 5*i - d = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11122180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuunnunnnn. What is prob of picking 3 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 405*b**2 + 3*b + 25. Let v(h) = 270*h**2 + 3*h + 18. Calculate 5*p(s) - 7*v(s).\nAnswer: 135*s**2 - 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 + 3*v**4 + 0*v**4 + (8*v**3 - v + v)*(-9*v - 14*v + 2*v).\nAnswer: -166*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -957?\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 90, 95, 106, 129, 170, 235, 330?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 79*u = -84*u - 3907, -n - 3*u = -981. What is the remainder when n is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 13 = -3*f - 5, 4*f = -3*z + 9. Suppose -6*u + f = -4*u. Suppose 0 = -w + 4*j + 133, -u*w + 6*j + 431 = 2*j. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -1229*u**5\/5 - 172*u**2 + 1683. Find the second derivative of w(s) wrt s.\nAnswer: -14748*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {u: 3, n: 1, w: 9, e: 6}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 times 0.113?\nAnswer: -5.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8713 + 0.1713. What is the smallest value in -2\/5, -9, 1\/5, -3, j?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.5 (b) 2 (c) -150 (d) 0.1 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 5*z - 24. Let h be r(12). Calculate the highest common divisor of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 78.99892 millennia?\nAnswer: 947987.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10750691*g**3 - 5375638*g**3 - 5375040*g**3.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 divided by 9?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 1\/24*l**4 + 0 + 0*l**3 - l**2 + 0*l. Let v(y) = 3*y. What is t(v(z))?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(4\/9)*w*w**(2\/21))\/((w*w\/w**(-5\/2))\/w*w*w*w**(-2\/3)) assuming w is positive.\nAnswer: w**(-289\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98613?\nAnswer: 3, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30704 is divided by 195?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 5:01 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/13 (b) -2\/15 (c) 3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 2. Let z(p) = -2*p**2 + 6. Let l(m) = -3*x(m) + z(m). Let v(o) = -2*o - 2. What is l(v(w))?\nAnswer: 4*w**2 + 8*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 29.19316nm?\nAnswer: 0.00000000002919316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/2 of a week?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/1122384 and 49\/16080?\nAnswer: 5611920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-128 + 118 + (-53 - 2) - 0).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 17*z - 3*z + 8*z)*(-2*z**3 + 2*z**3 - 2*z**3) - 7 - 2*z**4 + 2*z + 7 to the form o*z**2 + r*z**4 + g*z + u*z**3 + h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/12 and 127\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155394400 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 - -29. Let z be (-2)\/(2 + o\/9). What is the second derivative of 0*y - 17*y**5 + 9*y - 6*y**5 - z*y**5 wrt y?\nAnswer: -520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.11 - -14. Let x = w - 0.63. What is x rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f + 18*f + 79*f to u + n*f and give n.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 28*r - 7. Let d be w(-8). Suppose -d = -2*a + 25. Is 37 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*s - 9 = 0, -5*r + 4*s - 3*s + 15 = 0. Suppose -4*o = -r*o, o - 17 = -y. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152016 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 0)\/(8\/808)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8807354.\nAnswer: 2, 4403677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvcvjjvcpcpv. Give prob of picking 1 v and 1 j.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 - 7068*k + 14140. Determine o(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 1111 - 1111 + 2222 + 3*l**2. Let n(h) = -8*h. Determine t(n(a)).\nAnswer: 256*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b - 5?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 267 and 192?\nAnswer: 17088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63407 is divided by 170.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 23 = 2*o, 5*g + 9 = -5*o + 11 - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + o + 3801055 = 2*o, -3801055 = u + 5*o. Let n = u + 1491055. Round n to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -7. Let r = b + 10. Let u = 7 - r. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*k - 958*k = 16305 - 3905 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (2 - -3) + 7 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -347\/3 + 117. Let v = -1.9 + 2. Suppose 9*x - 11*x - r = 0, x + r = -2. Which is the nearest to z? (a) 2\/9 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-66 - (-48 + 53)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:42 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:21 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3\/5 + 100*t**2 + 84448*t\/5 + 2476864\/5.\nAnswer: -4*(t - 229)*(t + 52)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7 - 5. Suppose 0 = -g*i - 2 + 5. Which is the nearest to -0.1? (a) -2\/15 (b) i (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**2 + 23*p + 25. Let k(a) = 5*a**2 - 16*a - 17. Let i(n) = 7*k(n) + 5*u(n). Find the first derivative of i(x) wrt x.\nAnswer: -10*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5003258448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4*u + 6 = 0, -5*a - 26 = -5*u + 4*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 9*p**5\/5 - 18*p. What is the units digit of m(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-3*1\/2). Let n be k*((-220)\/25)\/(-2). Let b = -104 + n. Is -59 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*a + 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2 + 3\/(3\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 228?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7717\/2819 or -2?\nAnswer: -7717\/2819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 23*z**2 - 18*z - 49. Let y be i(-11). What is the highest common factor of y and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -299, -492, -819, -1286, -1899, -2664, -3587?\nAnswer: -4674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61222 (base 7) in base 2?\nAnswer: -11101000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35253091 to the power of 1\/2, to the nearest integer?\nAnswer: 5937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -13*b**2 - 7*b + 7. Let y(j) = -4*j**2 - 2*j + 2. Let q(c) = 2*p(c) - 7*y(c). Let m(g) = 2*g. Give q(m(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1276*q**5 - 515*q**3 + q**2 - 10112795*q + 2.\nAnswer: -76560*q**2 - 3090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3222, -2 in increasing order.\nAnswer: -3222, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-5))\/((-10)\/25). Suppose -2*i + t*i = 56. Solve -4*b - i - 2 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*f - 4, -8 = -0*f + 2*f - 4*x. Suppose 0*h + 3*h - 561 = f. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 11, 15, 31, 65, 123, 211, 335?\n\"Answer: t**3 - 3*t**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.6361 - 116.3669. Let k = b - -0.003. Let y = -123.0142 - k. Round y to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 30*x + 2. Let u(l) be the third derivative of l**5\/120 + 55*l**3\/3 + 91*l**2. Let c(b) be the first derivative of u(b). Give c(f(y)).\nAnswer: 30*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -564499, -564498, -564497, -564496, -564495, -564494?\n\"Answer: r - 564500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*m + 3*x, x + 8 = -4*m + 3*m. Let a be m\/21 - -111*(-18036)\/7. Round a to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**9\/1512 + p**8\/525 + p**7\/2100 - p**6\/450 + p**3 - 4*p. Let j(d) be the second derivative of t(d). Factor j(b).\nAnswer: 2*b**2*(b + 1)**2*(5*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/11636163 and -173\/10962.\nAnswer: 23272326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255162 divided by 39.\nAnswer: -85054\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/38*21 - -1. Let k be 2\/6 + (-7)\/12. Let j = 5772 - 5772. Which is the nearest to j? (a) -1 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/(-3))\/(1\/3). Let r = 5 - p. What is the units digit of (0 - (-9)\/(-6))*r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 33, -4 in increasing order.\nAnswer: -4, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 51*d**3 - 7839*d**2 + 23895*d.\nAnswer: 3*d*(d - 59)*(d - 3)*(d + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**3\/4 + 115*c**2\/4 - 55*c\/2 = 0. What is c?\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 61110239\nAnswer: 61110219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 5. Let d(m) = -2*m - 8. Let b(u) = 8*a(u) + 5*d(u). Let p(n) = 6*n**2. What is b(p(i))?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*c - 6 = 2*r, 4*c + 8 = -r. Let a = -80 - -82. Suppose -q + r*m + a = -2*m, 2 = q + m. Solve 0 = 4*v - q*k - 14, v - 9 + 1 = 5*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15))\/((-8)\/(-60)*-9)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*m + 2442, -3*l + 2*l + 496 = -3*m. Let o = 505 - l. Suppose 0*g + g = 0. Solve 5*w - o + 0 = g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0177513 to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/41888 and 65\/28.\nAnswer: 41888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 7)\/(1\/(-1)). Let j(f) = 6*f**3 - f**2 + f - 1. Let r be j(x). Let v be (r\/(-10))\/((-2)\/12). Solve -2*q - 25 = v*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1093431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3)*1)\/((-24)\/36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-45)\/(-7) - 0 - 15\/35 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 1770*f**2 + 55800*f.\nAnswer: -3*f*(f - 620)*(f + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 653 - 651. Solve k*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 6. Let r be z(6). Let o(m) be the third derivative of m**4\/4 - 4*m**3\/3 + 10*m**2. Is o(r) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -667930.0479 - -668782.1. Let w = u - 852. What is w rounded to three decimal places?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-3263\nAnswer: -1631.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-19))\/(o**(1\/25)*o) assuming o is positive.\nAnswer: o**(-451\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*((-6)\/45*(34 - 29))\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 243 = -2*s. Which is bigger: -29 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7582 and 0.361.\nAnswer: 2737.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 23 = -45. Suppose 2*c - 40 = -4*j, a*j + 3*j = 4*c - 106. Solve 4*q + 12 = c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 8 + 2. Suppose 0*k + 380 = s*k. Suppose h = 5*h - k. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 524 + -526 + (1 - 1 - 28 - 0)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.034 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v + 3*v**2 - 5*v**2 + 2*v**2 - 3*v**2 to the form s + r*v + b*v**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1 - -36)\/(1 + 0). Put p, -2, -3 in ascending order.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k. Let m(n) = -961 + 7*n + 441 - 5*n - 1813. Give l(m(o)).\nAnswer: 6*o - 6999","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and -3460.\nAnswer: -3454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 256997?\nAnswer: 1\/256997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 - 3 + 0*b**3 - b**3 - 6 + 8*b. Let s = -1240 - -1245. Let m be z(s). Solve -2*i + m = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3)\/(1\/6*-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/52 and -73\/244.\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14862282 and 111858?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -1 + 0*r**3 - 32\/15*r**5 + 0*r**4 + 0*r - 35*r**2. Let k(q) = q. Give k(a(p)).\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -391*f**7\/210 - 29*f**3\/2 - 430*f**2. What is the first derivative of s(b) wrt b?\nAnswer: -1564*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 + -86. Suppose -10*w = -d*w - 20. Let v(z) = -9*z - 4. Suppose 2*n + 8*n = 70. Let b(q) = 17*q + 7. Give n*v(x) + w*b(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**2 + g - 3. Give m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 102879\/14 + 3\/(-6). Let t = f - 1442. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 704960 or 704964?\nAnswer: 704964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = d - 372. Let g(v) = 9*v**2 - 28*v - 29. Is g(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 506 - 1360?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 142*q - 1. Let p be x(1). Suppose 14*f = 11*f - p. Let k = 46 + f. Which is bigger: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2787359, -5574717, -8362075, -11149433, -13936791?\n\"Answer: -2787358*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96666 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + c + 15, -93*n + 95*n - 5*c = 35. Put n, 16, 8, 1 in decreasing order.\nAnswer: 16, 8, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12024 > 13608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*v = 62*v - 312*v + 98*v - 2142 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y = -29*y - 18. Suppose -d - 1 = y*z - 10, 3*d = -2*z + 11. Let b = 36 + -31. Calculate the remainder when b is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100268051 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 60. Let j(x) = x**3 - 3*x**2 - 11*x + 22. Is j(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -10. Let q = h - -19. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 6) to base 2.\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 6. Let h be (l - -4)*(-40)\/6. Find the second derivative of h*o**3 - 146*o**3 + o + 0*o wrt o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -1 - 2 - 4. Let i(j) = 3*j + 15. Let v be i(u). Suppose -5*a - 10 = v, -h = 4*h + 2*a + 4. Solve 2*q + 2*q = h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.594 + -0.594. What is the third smallest value in 0.014, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*h + 26 = 0, 8*r + 14 = 3*r + 4*h for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 69 = 251. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39910085?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 17, p: 3}. What is prob of picking 2 p?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/270 - 5*s**4\/54 + 8*s**3\/9 - 38*s**2 - 2*s. Determine t so that f(t) = 0.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1112*i + 5105*i + 56169 - 323700 for i.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1516 and -103\/5306.\nAnswer: 10612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 - 158*n**2\/5 - 619*n\/5 - 462\/5.\nAnswer: -(n + 1)*(n + 3)*(n + 154)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/2 - (-9)\/(-18). What is the highest common factor of s and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1125246785*t**2 - 29955386*t + 2.\nAnswer: -2250493570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 11 = k, 3*j - 4*k = j. Suppose 0 = 3*q, 3*r + r - 2*r + 5*q = 0. Suppose r = 206*u - 205*u - 6. Solve j*b + b = -u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1600 + j - 1600.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276125722 and 1418.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 1\/32*s**5 + 0*s**3 - 3*s**2 + 0*s + 0 - 1\/80*s**6 + 1\/560*s**7 - 1\/32*s**4. Let j(l) = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1606, -1634, -1686, -1768, -1886?\n\"Answer: -g**3 - 6*g**2 - 3*g - 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105.4 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c8 + 1?\nAnswer: 1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*323\/570*-20?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/7 and -19\/610?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37471)\/2491 + 1*-4 + 22\/517.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 3*c - 12. Let a(d) = -2*d**2 + d. What is 2*a(j) - n(j)?\nAnswer: -2*j**2 + 5*j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*f = -29, 11 = -a + 7*f - 3*f. Calculate the lowest common multiple of 30 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 13*f**2 + 7*f + 6. Calculate o(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109547 is divided by 437.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k - 1. Suppose -5*h + 4*y = y, -4*h = 3*y. Suppose p + 17 = 4*p + w, -4*p - 2*w + 26 = h. Is 4 a factor of c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 - 1592\/(-16). Suppose m = -4*z + 12, 3*m - z = -m + 14. Suppose -3*p = -m*p + q. What is the greatest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f2 + 59f?\nAnswer: 1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153*w**3*z**2 + 15*w**3*z + 183*w**3 - 6*w with respect to z.\nAnswer: -306*w**3*z + 15*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*x = -0*x - 7, -5*x = -3*k + 31. Let y be 192\/(-9 - 15) + 11. Solve -11 = -y*c - k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3 - 323*o**2 + 7*o**3 + 307*o - 2*o**3 + 3 - 7*o**3 + 5*o**3 wrt o?\nAnswer: 12*o - 646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 110122 and 110058 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 451 + 1080 = 0 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3\/4 + 165*o**2\/4 + 175*o\/2.\nAnswer: -5*o*(o - 35)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -21 + (-128934)\/(-133) + 4\/7. Let i = 72 - -1. What is the greatest common factor of b and i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42600, 42598, 42596?\n\"Answer: -2*o + 42602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 53.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = 3*i. Solve i*o + 25 = -3*y, -4*o + 5*o - 23 = 5*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 5*f**2 + 58*f - 10. Let z be s(-9). Suppose -41*j + z = 2*j. Calculate the greatest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.1 + -25.12. Let w = -15.72 - h. Round w to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 3:02 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 686381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4512265 is divided by 279?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*j + 6 + 3, j = 5*b + 15. Let f be -2 + 4 - (-2 + j). What is the second derivative of -f*s + 3*s + 3*s**2 - s**2 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -5 + 1547)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**3 + 7*k**3 + 15*k**3 + 12*k**3 - 48*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-505)\/(-15))\/(4\/12). Let i = h + -94. Suppose 0 = -i*v + 2*v - 5*m - 10, 4*v + 3*m = -3. Solve 0 = 5*w - v*c - 8, 0 = 3*w + 2*w - 5*c - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90*6\/60)\/(12\/(1716\/11)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1536 + -533. What is the highest common divisor of r and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18377726 and 12793?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 + 31*g**4 - 222*g**3 + 32*g**2 + 1184*g.\nAnswer: g*(g - 4)**2*(g + 2)*(g + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 489 - 847. Let i = 26 - l. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 9. Calculate h(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 39 = 2*x - 242, x = 2. Let t = b + -55. What is the highest common factor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350 and 168?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/35)\/(-64*15\/210)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 3.1, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/3 - 13*f - 42 = 0. Calculate f.\nAnswer: -3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 4*r + 2. Let w be y(-3). Let h = -3 - -10. Are w and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.23 - 29.97. Let k = v - -35. Round k to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2281276690 plus 29?\nAnswer: 2281276719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 8*r**2 + r + 4. Let k be j(-8). Let p = 4 - 7. Which is the third smallest value? (a) k (b) p (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 353 - 88. Let w = n + -261. Solve -11 = -w*u + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15382373*z**2 + 2*z + 5. Let f(n) = 2*n. Give v(f(o)).\nAnswer: 61529492*o**2 + 4*o + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 170619 + 170619 + 120*i**3 to the form k + m*i**2 + d*i**3 + u*i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 5*l**3\/6 + l**2\/2 - l. Is x(2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95933230*d**4 + 142095527*d**2 wrt d.\nAnswer: -2302397520*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -349 (b) -263 (c) -0.3 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let q(y) be the third derivative of -y**5\/20 + y**2. Give q(x(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2 - 1 - 4*w - w**2 - 1 as z*w**2 + i + m*w and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2 + 23932*r + 95696 = 0 for r.\nAnswer: -11962, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2056 - -2671. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -39*u. Let x(v) = 11*v. Suppose 10 = -4*c - 5*d + 127, -5*c = 3*d - 143. Let l be ((-144)\/c + 0)\/((-12)\/42). Calculate l*x(g) + 5*w(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.9 or 1\/2?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 185 + 621 = 5*o, o = -3*z + 84. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 186 and 242.\nAnswer: 22506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, 5, -4, 858, 8 in decreasing order.\nAnswer: 858, 8, 5, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 453 divided by 14\nAnswer: 453\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - 3 - -4 - 1427*-2 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 51572.\nAnswer: 361004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 40 = 56. What is the remainder when n is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 419599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1098 and 1830?\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44.944 - 45. Let l = t - 0.034. What is l rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8398469063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-5*(-8)\/(-20)*1). Solve u*t = t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/21848 and -1\/5462?\nAnswer: 21848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 4. Suppose b + 12 = 4*b. Let g(w) = 6*w**2 - 1. Let t be g(1). Let a(y) = -7*y + t*y - y + 5. Calculate b*r(m) + 3*a(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 214 + -213.8. What is the closest to w in 5, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - r - 1398 = 0, -d + 2*d + 3*r = 706. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 17*y. Let w(z) = -407*z. Determine 143*j(p) + 6*w(p).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -15*t**2 + 56*t + 9. Calculate n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8062 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60\/18043 or -1?\nAnswer: -60\/18043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 704*h - 4116. Calculate i(-169).\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*q - 20*c**4 + 4*c**3*q + 60*c**2*q - c*q wrt c?\nAnswer: 24*c*q - 480*c + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 114 = -2*f + 100, w + 3*f + 25 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.00145441 and -0.3.\nAnswer: -0.30145441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79467494 rounded to 3 dps?\nAnswer: -0.795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 24 + 0*d - 4*d)*(-2*d + 3*d + 0*d).\nAnswer: -4*d**2 - 33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002886879 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 + 28*g**2 + 10*g - 228. Calculate the remainder when q(-10) is divided by 41.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k + 54 + 55 + k - 26 - 10 in the form p*k + s and give s.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2910650 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(2 + 1) + (-51)\/6. Which is bigger: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/134 and -17\/96480?\nAnswer: 96480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 578163929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 69. Suppose -21 = 27*m - 28*m - 5*k, q*m + 5*k - 99 = 0. Calculate the lowest common multiple of m and 20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, u: 10, h: 2}. What is prob of sequence hzhz?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 46b - -85c9?\nAnswer: 8a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2530 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23128, -19455, -15776, -12091, -8400, -4703, -1000?\nAnswer: 2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2\/5 - 186*t\/5 - 2883\/5 = 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*-14 + (-1891)\/(-279)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 + -1 + (3 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 + -5 + 10\/(-2). Let j be -21000*q\/3*650. What is j rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6102 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(25\/15)\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4193 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3 + 799740*x**2 - 31979203380*x = 0. Calculate x.\nAnswer: 0, 79974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2))\/(17 + -6 + (-103)\/8). Let 2\/5*b**2 - h*b + 0 = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34235\/7 + 4919. Let m = 67 + -39. Let s = d - m. Which is the nearest to 1? (a) s (b) -5\/2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 4)*(-z - 3 + 3) to the form r + s*z and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/2)*g*g**(1\/5)\/g*(g*g**(1\/5))\/g**(1\/5))\/((g**3*g)**(-6))**(-23) assuming g is positive.\nAnswer: g**(-5533\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r**3 + 2*r - 1. Let z = -465 - -466. Calculate c(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3740 divided by 2\nAnswer: -1870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (397 + 256 + 110)*(i**3 + 1 - 1).\nAnswer: 763*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -38, -3\/10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - -5 - (-27 - -20))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2105\/579 + 6\/193. Let o(f) be the first derivative of -5 + r*f**3 + 0*f + 0*f**2 + 1\/4*f**4. What is the third derivative of o(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 412*b + 11955. Let n be q(-29). Suppose 0 = -4*k - 16, -262 = -6*z + z + 3*k. Solve -n*a = 3*a + z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 255.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-3)*(-39)\/26*(-2354)\/856.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 114\nAnswer: -26\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14, -1064 in ascending order.\nAnswer: -1064, -14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*y**2 - 47*y wrt y.\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 5*w**2 + 4*w + 4. Let t be s(-3). Suppose 5*q + v + 1 = -1, -5*v - t = 2*q. Suppose -2*f + 55 + 127 = q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 3:22 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 50 - 47 = -4*x, 32 = i + x. Solve 13*j - i = 34 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m**2 + 10*m + 5. Let p(x) = -15*x**2 + 18*x + 9. Let q(b) = -9*k(b) + 5*p(b). Let y(u) = 3 + 2*u - 3. Determine q(y(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -21214?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 92*f - 6379. Calculate d(69).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 597, 1320, 2311, 3558, 5049, 6772?\nAnswer: 8715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 15 = 5*q. Suppose 0 = -3*b, -q*b + 9 = 5*y - 1. What is the derivative of 3 + 4*f**y + 11*f**2 + 3*f**2 + 5*f**2 wrt f?\nAnswer: 46*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**7*r))\/r**(-11)*r**(1\/5)\/((r**(-1\/8)\/r)\/r) assuming r is positive.\nAnswer: r**(253\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 2576*c**3 - 2578*c**3 - 44 + 8*c**2 - 8*c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Let h(j) = -3833*j - 26. Give h(i(l)).\nAnswer: -3833*l**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2934 + 20536\/7. Which is the closest to v? (a) 2 (b) -0.05 (c) 4\/7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = 4*x - 90. Let u be (-2)\/(-10) + x\/30 + 5. Solve 4*l + 21 = 5*n, u*l + 2 = 5*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/7, 1\/22, 29, -0.1 in decreasing order.\nAnswer: 29, 1\/22, -0.1, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 18*h + 9. What is the tens digit of z(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7982 + -4398. What is the highest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/11, 3, 130, 2\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -171 - 270733?\nAnswer: -271014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 5*x**2 + 19*x - 9. What is the tens digit of l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**3 - 16*r**2 - 2*r + 11. Let d(t) = 8*t**3 - 15*t**2 + 10. Let a(c) = 5*d(c) - 6*h(c). Give a(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43427510 divided by 2\nAnswer: 21713755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = 4*s, -56 = -3*s - 5*d - 25. Suppose s*g = -g + 6. What is the third derivative of 5*n**2 + n**6 + n**6 - g*n**2 wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-5 + -5 + (985600016 - 6). Suppose -48*i + k = -34*i. Round i to the nearest 1000000.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*k**2*w + 323*k*w**3 - 9671*k + w**3 + 477*w**2 + 831*w - 6 wrt k.\nAnswer: -22*k*w + 323*w**3 - 9671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91\/2 of a litre?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/69 in -1, -0.4, 1, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2818 is divided by 61.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:36 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -0.181, -3351\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 15*h**4\/16 - h**3\/2 - 15*h**2\/8 + 3*h\/2 - 5. Factor f(j).\nAnswer: 3*(j - 1)*(j + 1)*(5*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1086\/155 + -56\/31. Let c = 43339\/6 + -7105. Let h = 245\/3 - c. Find the common denominator of w and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*t**2 + t**3 - 5 - 18*t**2 - 5 + 27*t**2 in the form x*t**3 + o*t + c*t**2 + i and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 65. Suppose -g = -c*w + 13, -3*g - 4*w + 31 = 2*g. What is the third biggest value in 2\/3, 0.1, 0, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008523483 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 15. Let u be 0\/(n + 1 - -2). Is u <= -3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 d when three letters picked without replacement from dddddudduuuuuduuudd.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -35. Let k be 2\/(-8)*g\/6. Let j = 1.56232 + -1.36232. What is the second biggest value in j, k, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 16 + 46 = 0. What is the units digit of (l\/12)\/(25\/(-75))*-210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -54*r + 158*r - 61*r - 17 - 33*r. Determine d(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 6*h + 58. Let k = h - 39. Let q = 334 + -201. What is the highest common factor of k and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 7 + 23. Let z(o) = -15*o - 39. Let r(m) = 2*m + 12. Let n(k) = -3*r(k) - z(k). Let y(j) = -14*j - 4. Determine l*n(u) + 5*y(u).\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = s - 4*s. What is the smallest common multiple of 12 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*g = -204, -n + 3*g + 18 + 43 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*g = 10, -5*o - 2*g = -5*g - 19. Calculate the greatest common divisor of 100 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -5*v + 109. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27413*v - 13716*v - 13697*v + 3 - 37*v**3.\nAnswer: -37*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 0.728?\nAnswer: 0.05824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 - -176. Solve 4*b - 5 = -p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1438800 and -127\/60480.\nAnswer: 362577600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3*i)**45*i**(4\/3)*i\/i**(1\/8))**(-15) assuming i is positive.\nAnswer: i**(-21865\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -792*a - 111667. Give w(-141).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*s - 3205, 0 = -11*d + 13*d - 2*s - 6398. List the prime factors of d.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c + 5. Suppose 0*p + c*p = 0. Is p greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44657 is divided by 220.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15943265.62 + 15943120.6200071. Let a = 145 + s. Round a to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33, 42, 51, 60, 69?\n\"Answer: 9*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36, -138, -352, -714, -1260, -2026, -3048?\n\"Answer: -6*r**3 - 20*r**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 + 0*j**3 - 4*j**3)*(-161*j + 54 - 27 - 27).\nAnswer: 161*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*r**5 + 28*r**4 - 2227*r**2.\nAnswer: 1500*r**2 + 672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207526111?\nAnswer: 13, 53, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6807 + -2491. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1295*v - 8768*v - 2 + 2.\nAnswer: -10063*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*z - 19 = 0, -z - 15 = -2*d - 3. Calculate the remainder when 17 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45720537?\nAnswer: 3, 61, 229, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/660 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 + 6*s - 4. Give b(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1548\/(-47601))\/((-90)\/11685).\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2593 <= -3293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by -5802.\nAnswer: -8\/967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/(-11) + (3 - (-4 + 2)). Suppose -u = w + 3469998, -4*w + j = -3*w. Round u to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:53 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p - 18. Let n be (-10 + 1)\/((-9)\/12). Let c be a(n). Calculate the greatest common divisor of c and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4 = 2. Let m(g) be the third derivative of g**5\/60 - g**4\/24 - g**3\/6 + 15*g**2 + 2*g. Determine m(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13120844?\nAnswer: 2, 11, 298201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 17*j = 198. Suppose 27 + 15 = 2*g. Let h = -12 + g. What is the remainder when j is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 9. Let f(u) = -2*u - 6. Let k(y) = -2*y - 7. Let c = 52 + -114. Let z = c + 67. Determine g*f(t) + z*k(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6*y - 1240 = 0. What are the prime factors of y?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + (-55 - -74) + -102?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -51*n + 2. Let y = 4 + -6. What is the hundreds digit of z(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 490c19a - -4?\nAnswer: 490c1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/58888 and 65\/5365736.\nAnswer: 91217512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24982, -99951, -224906, -399853, -624798, -899747?\nAnswer: -1224706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3679 (b) -3 (c) 20 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -51*b + 60. Let q(f) = 12*f - 14. Let k(n) = 7*a(n) + 30*q(n). Let p(j) = -27*j**2 + 7*j**2 - 5*j + 11*j**2. Determine p(k(i)).\nAnswer: -81*i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 + ((-532)\/8)\/7. What is the third smallest value in -1\/2, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2363 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 3.5, 1, 0.4 in descending order.\nAnswer: 3.5, 1, 0.4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6834 + 268*k - 6834)*(-2*k - 2 + 2).\nAnswer: -536*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -13. Solve s = 4*b - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-31)\/(-4))\/(17\/136). Suppose -z + f = -34. Suppose -4*l = 2*l - z. Solve -t = -6*t - 10, -2*t = 4*a + l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7129 - -107021\/15. Calculate the common denominator of -20\/21 and b.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219615 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -112*v**5\/5 + 61*v + 133. Find the first derivative of b(q) wrt q.\nAnswer: -448*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:50 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204)*2*6 - sqrt(204)) + sqrt(204))\/(sqrt(12) + 1*sqrt(12)*-3) - 4*(sqrt(2448) + sqrt(2448) + -1 + 0))**2.\nAnswer: -816*sqrt(17) + 176884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4102.51 to the nearest ten.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l - 1378. Calculate c(-92).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -22, -1\/11, -1272, -0.1 in increasing order.\nAnswer: -1272, -22, -2, -0.1, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.043 + 29.957. Let r = u + -32. Which is the third smallest value? (a) r (b) 5 (c) 0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 520 + 0.6858091\nAnswer: 520.6858091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -134\/9 in -0.5, 53971, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -543, -571, -629, -723, -859, -1043, -1281, -1579?\n\"Answer: -j**3 - 9*j**2 + 6*j - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6\/5 (b) -1\/2 (c) 3 (d) 27 (e) 0.1 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29417, -29409, -29411, -29429, -29469, -29537, -29639?\n\"Answer: -h**3 + h**2 + 12*h - 29429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7060 + 9844. Calculate the highest common factor of m and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u + 127 = 5*j, 227 = 4*u + j. Calculate the greatest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 + 61*u**2 + 221*u - 15. Determine f(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -678 + 88300155?\nAnswer: 88299477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 569*m + 20482. Determine r(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2158, 8815, 19918, 35473, 55486?\nAnswer: 79963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -487213 - 106.\nAnswer: -487319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/34320358 and -15\/14.\nAnswer: 240242506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 18*b**2 - 3. Let a(u) be the third derivative of u**5\/20 + 186*u**2 + 2*u. Give m(a(x)).\nAnswer: 162*x**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660 + 132 = 132*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1139*y**6 + 13*y**3 + 84123*y**2 wrt y.\nAnswer: 136680*y**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -36. Suppose 216 + 312 = b*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-10)*(-1862)\/(-114). Factor 504\/5*t**2 + 32*t - x*t**4 + 16\/5 + 392\/5*t**3.\nAnswer: -(t - 2)*(7*t + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 14. Let m be 6*(-4)\/(-16) + i. Let -2 - 4*r - m*r**2 - 1\/2*r**3 = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggdgggsgsg. Give prob of sequence ggg.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022 plus 4508?\nAnswer: 4507.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**2 + 4*s - 2. Let d be k(-3). Let f be d\/7 + 2\/7. Is f smaller than -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -6. Suppose -o = o - j. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 9, -0.08, 0.\nAnswer: -0.08, 0, 1\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4127414025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -514\/7 or -39?\nAnswer: -514\/7","meta":{"dup_signals":{},"source":"comparison__pair_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: Sort 206, -31, -21.\nAnswer: -31, -21, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34\/11 + 260\/77. Let v be (-33)\/45 + (-2)\/(-5). Which is the closest to v? (a) 5 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from pyry?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2797 + 25141\/9. Suppose 11 = c + 16. Which is greater: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -6, 2*h - 114 = 5*z - 135 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 65.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-3))\/(21\/(-504)). Solve 3*g + 1 = -q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000563144362 to 7 dps.\nAnswer: 0.0005631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/23923 and 8\/5599?\nAnswer: 263153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1108*r**2 + 2*r - 2088.\nAnswer: 2216*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*q**2 + 0*q**3 + 4 - 3 - 93*q**4 + 2*q**3 + 63*q**2 in the form v*q**4 + i + o*q**3 + s*q**2 + t*q and give v.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4583247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5.21*-380.9\nAnswer: 1984.489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/5*v**5 - 48\/5*v**4 + v + 2*v**3 + 0 + 24\/5*v**2 = 0.\nAnswer: -1\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from nzznn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c - 4*c = 290. Suppose 15 = 3*s, -6*r + r + 3*s = -190. Calculate the remainder when r is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2 = -50*u + 45*u - 30, 0 = -g - 86*u - 41*u - 512 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221796 by 1212.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = z + 2206, 1838 = 3*d - 4*z - 4782. Suppose q = -3*q + d. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 199 + -34. Suppose -s = 2, a + 2*s = 109 + l. Suppose -4*v + 51 = -3*w - 450, 0 = -2*v - 4*w + a. Calculate the remainder when v is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)*v**(2\/5)*v)**39 assuming v is positive.\nAnswer: v**(338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25\/2 + 13. Let l = 22.17 - 22.67. Let p = -9.5 - -9.9. Which is the closest to w? (a) l (b) p (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/18)\/((-2)\/(-3)). What is the remainder when (-2 + -48)\/((-4)\/6) is divided by 52*((-4)\/8)\/n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20516509?\nAnswer: 13, 1578193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p = -22*p + 176 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -38*m. Let x(u) = -126*u**2 - 190*u - 11. Determine -5*n(r) + x(r).\nAnswer: -126*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2\/9, -2\/15, -0.18, 2, 12.\nAnswer: -13, -2\/9, -0.18, -2\/15, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*p**3 + 146*p**3 - 411*p**3.\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.4 + -6. Let j = -1.6 - x. What is the third smallest value in -2\/11, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21 - 14 - (-36)\/(-6). Solve -13 - q = 7*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 139075.\nAnswer: 139075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 - -0.9. Let k = q - 0.1. Let g = -908.1 + 908. Which is the second biggest value? (a) 0 (b) k (c) -3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000051899025 rounded to seven decimal places?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 77, 130, 225, 374, 589, 882, 1265?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-72 + 11 + 34).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q - 104. List the prime factors of (-842)\/78*-9 + 4\/q.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, -1, 4 in descending order.\nAnswer: 147, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(((-5)\/(-35965))\/(7 + -15 - -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121733250 and 750.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 35 = 5*u, -1750*c + 1752*c + 3*u - 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.5, -5, 0.3, 269\/273, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:09 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*x - 49*x - 5*u + 5, -3*x + u = -7. Suppose 4\/5 - 1\/5*i**x + 3\/5*i = 0. Calculate i.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 10. Let w(s) = -4*s - 6. Let j be w(m). Suppose 2*g - 2 = -5*p - 2*g, -2*g - j = -5*p. Solve -a - 3*a + b + p = 0, -3*a + 1 = -b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719 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: Express -18*f + 2 - 4 + 19*f - 2*f**2 + 1 in the form r*f**2 + l + c*f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-12) - (-1539048)\/72 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136175 and 7735?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-30)*2)\/1. Let v = 1\/7 - 4\/7. Sort p, v, -3 in ascending order.\nAnswer: -3, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 - -0.05. Let d = 0.005 + s. What is d rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7*h = 172. Let l = -30 + h. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 o, and 1 e when three letters picked without replacement from {r: 1, e: 1, c: 1, q: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 3*l**2 - 1\/120*l**6 + 0*l**3 - 1\/24*l**4 + 0*l + 1\/30*l**5 + 0. Determine c so that o(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55791 rounded to 3 dps?\nAnswer: -0.558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 67709, 135846, 204031, 272264, 340545?\n\"Answer: 24*n**2 + 68065*n - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90563114?\nAnswer: 2, 17, 29, 53, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00088305 rounded to five dps?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/7)\/u*u)**(-2\/93))**(4\/21) assuming u is positive.\nAnswer: u**(-32\/13671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-878)\/(-6146)*(-616)\/8*1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 836 + -838. Sort -4, i, -0.4, 1.\nAnswer: -4, i, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 6*j - 4*w + 20, -3*j + 5*w = 25. Suppose -r + 2*p + 3 = j, -3*p - 7 = -3*r + r. Find the first derivative of 6*s**4 - r - 3 + 6*s**4 - 5 wrt s.\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516*m - 1155*m - 13*m**3 - 1335*m**2 - 520 - 455*m - 736*m - 12*m**3 = 0. What is m?\nAnswer: -52, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 4330 + -630. Is 100 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-70)\/(-15) - 8)\/(2\/450). Does 5 divide ((-82)\/10)\/(3*10\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 16. Let t = 218 + -309. Let d = 119 + t. What is the remainder when d is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5. Suppose -c + 4*a + 347 = 4*c, -3*c = i*a - 186. Let k = 40 - c. What is k rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (19 - 6 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 8}. What is prob of picking 3 y?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*v - 1267865, 130*v = 126*v - c + 1014279. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Suppose -2*y - 5 = 2*h + 7, h - n*y = 10. Let v be h\/7 - 36\/(-84). Is v <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5))**36 assuming j is positive.\nAnswer: j**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 10. Suppose -2*t = 2*q - 3*t - 30, -4*q - 5*t + 32 = 0. Let l be s(q). Let i be (-3)\/5 - (-12)\/(-20)*-1. Solve i = -l*g + g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {m: 5, a: 4, p: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*a - 67, 90196*b + 18*a = 90191*b + 62 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(5 + 2*sqrt(396)*-5 + 1 + sqrt(396)*-1 + sqrt(396) + 5))**2 + 5.\nAnswer: -21120*sqrt(11) + 635541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v - 8. Let a(c) = -2*c + 4. Determine 5*a(p) + 3*x(p).\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:14 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26232425 divided by -5246485.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvvcvmvcccmmmmvcvvcc. What is prob of picking 1 m and 3 v?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbgbbggbgg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 32858, 0, 7, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/(464\/3480*(-2)\/180) a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-12 + (30 - 17)). Solve 8 = 4*q - 62*b + 58*b, h = -q + 2*b + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 969 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15607, -8, 0.\nAnswer: -8, 0, 0.15607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-15)*12\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/(-4) + 2\/(-4). Let t = c - 13. Solve t = -q + 3*n + 16, -q + 0*n - 2*n - 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g = -5. Suppose 3*p = 4*f + 11, -4*p - 1 + 9 = -4*f. Let o = g - f. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -1)\/(6\/(-33)). Suppose c + 3 = 0, -3*z = 2*z - 4*c - q. Calculate the greatest common factor of z and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = 0. Let b be (-2 + y + 1)*-3. Solve b*x = -7 - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 4*j**2 + 2*j + 1. Let a be q(2). Let f = a + 4. Let o be 8\/(-6) + -1 + 3. What is the smallest value in f, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-30))\/((-149)\/298)*(-300)\/560.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 37\/2. Let h = -6 - -6.3. Let x = h + 0. Is y at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 divided by -4?\nAnswer: -445\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by 3.\nAnswer: -112\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 0. Let m = 44792 + -44792.5. Let i = 28 + -28.44. What is the third smallest value in i, m, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5 + 5920*m**4 + 1215538*m**3 + 4791048*m**2 + 4767336*m = 0?\nAnswer: -189, -2, 0, 3153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3335*t**4 + 4475.\nAnswer: -13340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 94*a + 53. Let f be h(-23). Solve f*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-4) - 3*-3. What is the first derivative of b*u**3 + 2 - 6*u**3 - u**3 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 9*r**2 + 9*r. Let h(q) = -2*q**2 + 44*q - 52. Let n be h(21). What is a(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-180))\/(27\/30).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1510\/7 + -216. What is the smallest value in k, 5, 8, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13792348039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + (-94)\/(-18) + 215\/45. Solve 4*g = s - 7, 4 = 3*g - u*g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237 + 282. Suppose -5*d - 4*m + f = -10*d, 0 = 5*m - 25. Let l(t) = -1 + 4*t - 2*t - 3*t. What is l(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52554 + -2522689\/48. What is the common denominator of -1\/224 and t?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 3936.\nAnswer: 19680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -35, -89, -104, 3\/32?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(10\/50)\/1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -243\/7. Let f = 2.0229 - 0.0229. Let m = -3.93 - 0.07. Put m, v, f in increasing order.\nAnswer: m, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4799.\nAnswer: 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*w - 3*m + 3, -5*w - 3*m = 6. Solve w*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + 2221?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 7*f**2 + 7*f + 6. Let i be g(-5). Let u = 24 - i. Solve 3*v = -4*x - v - 40, u*x = 4*v + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 11*v + 10*v - 25*v = 43, -44*v = -5*n + 123 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 106515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:11 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1) + 1 + -6. Let b = j - -8. Solve -3*s + 0*s = b*g - 25, 4*s = g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -14512?\nAnswer: -14506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) -3 (b) -4 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.48 + -130.48. Let j = b - -269. Let f = -140.236 + j. Round f to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -10) + -15 + 5 - (12 + -25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 554497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 19 = -j - 2*j, 12 = 4*j. Let z be 92400001\/x + ((-21)\/(-6) - 4). Suppose -6*p + z = -4*p. What is p rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 = 5*m, -4*m + 6 + 27 = 5*u. Let t = -94 + 146. Suppose -u*v - 4*s = -t, -v = -4*v - 5*s + 39. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 1:15 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 123, 475, 1185, 2373?\nAnswer: 4159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**3 + 31*q**3 + 2*q**2 + 11*q**3.\nAnswer: 34*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 54, -2, 3 in decreasing order.\nAnswer: 54, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777270?\nAnswer: 2, 3, 5, 13, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 384*a**2*j*v - 738*a**2 + 80*a*j*v - 5*a*j + 76*j*v + 71 wrt v?\nAnswer: 384*a**2*j + 80*a*j + 76*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*w + 5*a + 7, 0 = 5*w + 2*a + 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 909*f - 919. What is the units digit of u(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.46, -10\/3, 4, 1\/4, -95?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 2 + 24 - 1. Let y be (-3 + g\/3)*2. Suppose y*d - 5*d - 282 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310.3968ml to litres.\nAnswer: 0.3103968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**6\/600 - t**5\/12 + t**4\/120 + 5*t**3\/6 - 687*t**2. Factor f(o).\nAnswer: -(o - 1)*(o + 1)*(o + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 48d0d?\nAnswer: -48d0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p = -240 + 270 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 80)\/(-2)*(6 + 2). Suppose 0 = -12*q - q - h. Let t = 51 - q. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 694 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dudd when four letters picked without replacement from {u: 1, d: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4545 (base 6) in base 11?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 7.779?\nAnswer: -2.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2426.18 + -0.38836.\nAnswer: -2426.56836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d3 + -1?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/121 + -490\/363. Let b = 220 + -229.32. Let g = -6.32 - b. Sort -2, v, g.\nAnswer: -2, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -715, -1630, -2901, -4522, -6487, -8790?\nAnswer: -11425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*v - 3*v - v)*(5 - 3 + 4) to the form l*v + x and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x - 234 = -4*i, 18 = -291432*x + 291430*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*r + 1 + 6 - 9 + 15*r in the form q + a*r and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1032\/13 in 0, 2\/7, 39\/2?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5466, 12, -3 in decreasing order.\nAnswer: 5466, 12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*j = -100*j - 2444 + 764. What is the remainder when 278 is divided by j?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 + 0.746.\nAnswer: 118.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13 - 408\/30 - (-2928)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3 + 1510*v**2 - 177752*v + 519720 = 0.\nAnswer: 3, 142, 610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12\/24 + (-19)\/2 - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000253143413 to seven decimal places.\nAnswer: 0.0000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-952)\/510*40\/(-28).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2 - 71942*b + 149221 with respect to b.\nAnswer: -2*b - 71942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 9 = -3*a, 5*a + 3*s - 14 = 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 809053 to the power of 1\/2, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - ((-44 - -19) + (50 - 55))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Let p(u) = u**3 + 15*u**2 + 18*u - 101. Let s be p(-13). Let a(b) = -b - 2. Let n be a(-5). Solve -4*i + n = -5*h - 2, -s*h = -4*i + y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + q + 0)*(3*q - 6952072 - 483*q**3 + 6952072 + 4*q**2 - 4*q**2 - 2*q**3 + (-1 + 4 - 1)*(q**2 - q**3 - q**2)).\nAnswer: -487*q**4 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-1) - (-22 + 21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 11*l + 4*z = -2578, -l + 516 = -z. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86689991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 499 in -5, -4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 686213.\nAnswer: -3431065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11102011 (base 3) to base 13\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + 12. Calculate the greatest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2700734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)\/((i*i*i**(-1\/15))\/i))\/(((i**(18\/11)*i)\/i)\/(i**(2\/35)*i)) assuming i is positive.\nAnswer: i**(-10987\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -15 - 1200. Suppose a = -t + 6*t. Let n = -21 + t. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3596 is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6311? (a) -4\/5 (b) -0.2 (c) 5\/3 (d) 12 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (61*w + 45*w - 34*w)*(1 + 0 + 0)*(2*w**3 + 18*w**2 - 2*w**2 + 6*w**2 - w**3) as v*w**2 + t*w**3 + l*w**4 + b + x*w and give t.\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 32*q**3 + 11*q**2 - 47. Let h(m) = -11*m**3 - 4*m**2 + 16. Determine -4*g(w) - 11*h(w).\nAnswer: -7*w**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 6*v + 3. Let c be l(6). Let s be (-69)\/(-18) + (-259)\/(-222). Let k be -2*(0 - 6\/(-4)). Sort s, c, k in descending order.\nAnswer: s, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 11. Suppose 18*i - 20*i + 18 = 2*s, -20 = -5*i. Sort s, z, 0.2, -1 in decreasing order.\nAnswer: s, 0.2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -324 - 319 + 1297 + 1249*l - 323 - 329 to t + a*l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 18*y**2 + y - 2. Let h be z(18). Suppose 12*q = h*q - 4. What is the remainder when 77 is divided by 3 + (-2)\/q + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 778*b.\nAnswer: -b*(b - 778)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - -49. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b93 (base 12) to base 13.\nAnswer: -a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + ((-2*sqrt(156)*5 - (sqrt(156) - 4*(sqrt(156) + sqrt(156)*2)))\/((1*sqrt(36)\/sqrt(3) + sqrt(12) - sqrt(12)) + (sqrt(96)*2)\/sqrt(8)))**2)*3.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**2 + 2*y + 4. Let u be k(3). Let b = -34 - u. Calculate the remainder when 68 is divided by 2\/(60\/b + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.67, -3, -0.3, -1\/4.\nAnswer: -3, -0.3, -1\/4, 1.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 3*t - 5*t + (-t + 4*t - 2*t)*(16 - 9 - 232)*(-10 + 0 + 52) to p*t + k and give p.\nAnswer: -9452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65799002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2500632 divided by -6\nAnswer: -416772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2. Let g(t) = 6*t + 8. Give g(k(s)).\nAnswer: 18*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 38229304?\nAnswer: 38229304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*g - 70304 = -41756 for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 2888*x\/7 - 17256\/7.\nAnswer: -2*(x + 6)*(x + 1438)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -89353*r**3 - 7*r**2 - r - 2. Let q be x(-6). Round q to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 263121*g - 263122*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -13, -3 in increasing order.\nAnswer: -13, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = 7*t - 15*t + 120 - 56, 10 = 2*t - 3*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-2 + 8)) + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001598294 to 7 dps.\nAnswer: -0.0001598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*q - 64, 10 = 4*t - 10. Suppose 7*o = q*o - 124. Differentiate -32 - o - 5*r + 75 - 31 with respect to r.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 74*t**3 + 1 + 0*t**2 - t + 45*t**3 + 42*t**3 + 7*t**4 to l*t**3 + z + d*t + g*t**2 + p*t**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/17 - 3\/(-6)*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**19*((c**(-5)*c)\/c*c*c)\/c*c*c*c**(2\/9) assuming c is positive.\nAnswer: c**(155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/50)\/((-3)\/(-15)). Let k = 4.8 + 0.7. Let r = -6 + k. Which is the third smallest value? (a) p (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75218 (base 10) to base 3.\nAnswer: -10211011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22.58 or 27550?\nAnswer: 22.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdrswwdrsrswdddrsdw. Give prob of sequence rdds.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 1\/4*t**4 + 0*t**5 + 0*t**2 - 1\/30*t**6 + 2 + 1\/3*t**3 + 6*t. Let z(r) be the first derivative of s(r). Factor z(u).\nAnswer: -u*(u - 2)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*o = 311*o + 1308 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 5*m - 3. Suppose 5 = 3*d - 4, 0 = 4*q + 5*d - 3. Give r(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 9 - 4*y - 4*y.\nAnswer: -8*y + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 3*z**2 + 4*z + 4. Let n be a(4). Differentiate 0 + n - 2*f + f - 1 wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 2\/13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 + 40 - f + 49 - 11*f**2 - 133 as s*f + d*f**2 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 720038766 to the power of 1\/2, to the nearest integer?\nAnswer: 26834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 171*v**3 + 2*v**2 + 3*v - 4. Calculate the smallest common multiple of 12 and w(1).\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 32*z + 13. Let u(c) = -58*c - 23. Give 5*j(p) + 2*u(p).\nAnswer: 44*p + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -52.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y - 4. Let d(v) = v**2 + 2*v - 5. Let b be d(2). Suppose 0 = 5*j - 2*s + 27, b*s + 13 = -3*j + 1. What is c(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.3, -1\/8, -1\/7, -1173, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203*y**2 - 1610*y?\nAnswer: 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*f - 10 = 0, -3*h - 2236 = -f - 2216 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 32*g - 3*n - 88 = 0, 0 = -g - 19*n - 303 - 91 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 530, 793, 1020, 1199, 1318, 1365, 1328?\nAnswer: 1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 8892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sszz when four letters picked without replacement from sszszszsszszzssz?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54149*f = 54146*f + 36 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -31*y - 170. Calculate the remainder when j(-10) is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 3 + (-7 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -1\/735*y**7 - 2\/21*y**3 + 0*y + 2*y**2 - 1\/84*y**6 + 0 - 3\/70*y**5 - 1\/12*y**4. Factor c(i).\nAnswer: -2*(i + 1)**3*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.30385 times -11.6\nAnswer: -3.52466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.365072 less than or equal to -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -0.4, 4, 6, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 2*x)*(-1 - 1 + 0)*(4 - 3 - 4).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25768819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 16749 - 11741 = 0. Does 35 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (87 - (-98842)\/(-1022)) + 4 + 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 284 - 306 = 3*g, -g + 6 = 0. Let p(l) = -l**2 - 8*l - 33. Calculate p(r).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -5 (c) 3\/325\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:54 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1317 and 12?\nAnswer: -15804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r - 4. Let y be l(-4). Suppose 5*z = 4*o - y, 3*o = -o - 3*z. Factor 0*j**5 + 4*j**o + 0*j**5 - 2*j**3 - 2*j**5.\nAnswer: -2*j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*x - 8 + 98. Solve 3*q + 4*m - 7 = x*m, 2*q - m = 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 532\/9 - 59. Which is greater: 2\/7 or f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/24)\/((-1)\/2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) -1 (c) -0.1 (d) 43 (e) 1 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.55238 < 0.516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1432 less than -1381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**8\/50400 + y**7\/6300 + y**6\/1800 - y**5\/15 + 4*y**2. Let u(t) be the third derivative of c(t). Factor u(w).\nAnswer: 2*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 35 = -5*y, 4*y - 15*j = -11*j + 12. Let u = 20 - y. Calculate the greatest common divisor of 30 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 66. Let l = 30713 + -30712. Let f(t) = -1. Calculate l*n(g) - 6*f(g).\nAnswer: -g + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y - 9*y + 4*y - 10*y. Let m(b) = -2*b. Calculate f(m(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 287936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 14*z**2 - 16*z + 9. Let l be w(15). Let o(p) be the second derivative of -p**4\/12 - 3*p**3\/2 - 6*p**2 + p - 40. What is o(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 28*v - 31*v + 22 - 10. Let n be k(2). Let x(r) = 2*r**2 - 10*r + 7. Let t(o) = 2*o**2 - 9*o + 6. Calculate n*x(c) - 7*t(c).\nAnswer: -2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.7, -214, 0.043, -2\/3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113829 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 7 = 0. Let w = j + 18. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*d = 3*c - 88, -286 = -9*c - 284*d + 297*d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29855 and 0.5?\nAnswer: -14927.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 - -87. Let z be (8 - 18\/8) + b\/12. Let s(r) = -13*r**2 - 6*r. Let h(n) = 27*n**2 + 13*n. Give z*h(d) + 13*s(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7273 - -7272.7. Which is the nearest to 30? (a) k (b) 5\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 s when three letters picked without replacement from snsnssnsns?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let j(x) = -7*x - 21. Determine j(w) - 5*n(w).\nAnswer: -2*w - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*m**4 - 88*m**3 + 3*m + 3866 wrt m.\nAnswer: -996*m**2 - 528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 divided by 475?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/15 - (-112450386)\/346855. Let r = u - -1\/69371. Let o = r + -325. Find the common denominator of -14\/9 and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-2)\/1))\/((-21)\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 93\/13, 0.1, -4, -12, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4 + sqrt(432) + -1 + sqrt(432))*1)**2*-1.\nAnswer: -5259 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by -3 - (((-5)\/5)\/1*29 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*c - 48 = 0, 6*c + 4 = v + 3*c. Let a = v + 18. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -16 - 9 - 7 + 0 + 22*a - 6*a. Suppose -5*j + 12 = -4*j. Let f be s(j). What is the greatest common factor of 40 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/54364800 and -47\/375.\nAnswer: 271824000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10864 and 45784.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/390 - 2*f**4\/13 + 92*f**2. Factor s(g).\nAnswer: 2*g*(g - 24)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -37*i. Let x(f) = -190122*f. Calculate t(x(v)).\nAnswer: 7034514*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 2:18 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -159, -200, -273, -378, -515, -684, -885?\n\"Answer: -16*b**2 + 7*b - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -369 + 811. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 151 + 57. Let r be (-1)\/(-459)*(-185055)\/o. Let j = r + 1\/306. Calculate the common denominator of j and 93\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122107?\nAnswer: 23, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 863\/3500 + 3\/875. Which is the closest to -13? (a) 5 (b) 7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b + 121. Give y(18).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.4 + 6. Let u = 0.1 + z. Let g = -0.2535 - 3.7465. Which is the biggest value? (a) g (b) u (c) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/3*6\/2. Suppose 120 = -q + n*q + 4*y, -3*y - 148 = -4*q. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 13*w - 4. Let x(d) = 2*d - 1. Let k(n) = v(n) - 6*x(n). Give k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3 + 12218*j**2 + 1834183*j + 1821966 = 0 for j.\nAnswer: -12066, -151, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -352.\nAnswer: -1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 19. Let r = u - 5. Sort 0.5, r, 8 in decreasing order.\nAnswer: 8, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 2:05 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1966 and -67\/10?\nAnswer: 9830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**5\/20 - r**4\/4 - 5*r**3\/6 - r**2\/2 + 1286*r. Let o(n) = n**3 - n**2 - n - 1. Give -3*o(m) + t(m).\nAnswer: -2*m**3 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 5 (c) 3\/17 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - -12416615?\nAnswer: 12416644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**5\/20 - c**4\/3 + 7*c**3\/6 + 3*c**2\/2 + 2*c. Calculate n(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + z = -0*z + 5, 1 = z. Let n(m) = 4*m - 4. Let p be n(y). What is the greatest common divisor of 36 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 1, 14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3959649 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -3*s. Suppose -3*t + a - 11 - 3 = 0, 40 = -s*t - 4*a. Let o(y) = -3*y - 9. Give o(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f**2. Let v(i) = 0 + 334*i + 0 + 52*i - 95*i. Calculate d(v(j)).\nAnswer: 592767*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 4*h. Suppose 21*a - 10 = 16*a. Let x be f(a). Let z = x + 63. What are the prime factors of z?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256779634?\nAnswer: 2, 31, 443, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 11 - 5. What is the second derivative of -3*d + d**u + d**3 - d**2 + d**2 wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.104 - 107.986. What is z rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*w + 89*w = -73*w - 5*p - 23, -2*w = 4*p + 4 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960 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: Let g(k) = 4*k**2. Let v be g(2). Let h = v + -2. Calculate the remainder when 264\/6 + -6 + 3 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-4 + 5 - 4)*(-3*w**3 + w - w).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 3:22 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 731*r + 753*r - 46710 + 138718 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 5) to base 16.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 55\/(-11)*8\/(-10). Let d(k) = k**3 + 8*k**2 + g*k**2 - 4*k - 4*k**2 - 10. Calculate the remainder when d(-8) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-236)\/(-52))*710\/(-994).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4)**27)**14 assuming o is positive.\nAnswer: o**1512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*m + 44, -15*y = -11*y - m - 25. Do y and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -9*5\/(-15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 2:17 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0041762617 to five dps.\nAnswer: 0.00418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 49\/2*(6\/(-3) + 4). Let r = y - 47. Suppose -7*t + 45 = r*t. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 18*o + 58*o + 50*o.\nAnswer: 91*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.66, -0.5, 0 in decreasing order.\nAnswer: 0, -0.5, -1.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925244469 to the power of 1\/2, to the nearest integer?\nAnswer: 43878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 212 = -5*o - 193, o + 3*r + 7 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 2. Let t(o) = o - 3. Let j(y) = -3*n(y) + 2*t(y). Suppose 2*h = 5*h - 3. Let v(s) = h - 2*s - 1. What is j(v(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 4. Let q be w(-6). Let a be q\/8 + 18\/8. What is the third derivative of 2*m**2 + 2*m**4 - m**a + m**2 wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*y - 1, 15*y - 10*y - 6 = -2*b. Suppose -2*r = 5*p - 307600025, -b*p + 12*p + 5 = 0. Round r to the nearest 1000000.\nAnswer: 154000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(539) + 3)**2.\nAnswer: 70*sqrt(11) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p + 2*p**2 - 5*p)*(-17*p**2 + 33*p**2 + 24*p**2) to r + b*p**3 + d*p + n*p**2 + q*p**4 and give q.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Let v(m) = 1 + 30*m + 13 - p*m + 7 - m**2. Is v(21) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 65*b**2 + 210*b**2 + 332*b**3 - 100*b**4 + 56*b + 4 + 218*b**3 + 475*b**4 = 0.\nAnswer: -2\/3, -2\/5, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 342 - -74. Calculate the greatest common factor of 26 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 467 and 2?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.045458 - -3645.4698\nAnswer: 3645.515258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 42459 = -3*c. Let u = -311301\/22 + c. Let o = 8733\/16 - 546. What is the common denominator of o and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -14, 3, -3 in decreasing order.\nAnswer: 7, 3, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4500421?\nAnswer: 37, 121633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 13834100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25770*v + 25770*v - 43408*v**3.\nAnswer: -43408*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -175*(69 - (-335892)\/(-4830)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*r**2 - 2*r**3 - 88 + 0*r**2 + 79 wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w - 1. Let o(u) = -u + 65. Let p be o(68). Let f(i) = 25*i - 3. What is p*f(d) + 8*g(d)?\nAnswer: -11*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*v**5\/3 - 658*v**4 - 115268*v**3\/3 - 274464*v**2 + 23535360*v + 9455616 = 0. What is v?\nAnswer: -72, -2\/5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153026320*a**2 - 167816612*a wrt a.\nAnswer: 306052640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 0*b + 0*b)*((13*b + 202*b - 41*b)*(0 - 1 - 1) + (0*b + 0*b + b)*(-5 + 3 + 3)).\nAnswer: -694*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**12\/f**12*(f\/(f*f**11*f))\/f**(1\/7))**(6\/11))**(-6) assuming f is positive.\nAnswer: f**(3060\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5073.587l to millilitres.\nAnswer: 5073587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1866 + 1854. Is o at most 2.48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 74.\nAnswer: 51.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-10))\/(9\/(-120)). Let m be 3\/9 + i\/21. Which is the second biggest value? (a) 0.3 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 17*o - 19. Let i be w(16). Let u = i - 1. Is 10 a factor of u + 4 + -3 + 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 3:00 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + z**2 - 10. Let m be w(0). Let s be m\/(-5) + (-22)\/6. Let r = -3.7 - -0.7. What is the third biggest value in s, r, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {r: 1, p: 2, s: 1, i: 2, a: 1, x: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.663 - -0.063. Round x to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 13 - 3 + k**2 + 9 in the form q*k + h*k**2 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (3 + 4 + 2). Let w be r\/15 + 5\/((-50)\/(-108)). Solve 0 = -w*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, -32, -1 in descending order.\nAnswer: -1, -32, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332540, 665647, 998754?\nAnswer: 1331861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3951 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45447870?\nAnswer: 2, 3, 5, 13, 116533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*r - 254 + 364 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-105248)\/715)\/184)\/4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjb when three letters picked without replacement from {b: 1, y: 2, i: 1, j: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -18, -74, 2, 34 in descending order.\nAnswer: 34, 2, 0.5, -18, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.32, 2, -2, 3\/7.\nAnswer: -2, -0.32, 3\/7, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 19*h + 147. What is x(-11)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 74771507 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 149664989 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8.3+41004.9\nAnswer: 40996.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {n: 5, v: 13}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:02 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45541624657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.389827 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjfa when four letters picked without replacement from {r: 4, a: 1, j: 5, x: 3, q: 1, f: 3}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 + 668*j + 563. Give p(135).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r + 11 + 7 - 5*r + (-4 - r + 4)*(-3 - 2 + 3) + (-1 - 3 + 6)*(-3 - r + 3).\nAnswer: r + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -559, -1265, -2253, -3523?\nAnswer: -5075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 1, l: 1, y: 1}. Give prob of picking 1 l and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -422*p**2 + 3*p - 2. Let c(v) = -1266*v**2 + 11*v - 8. Give 2*c(t) - 7*f(t).\nAnswer: 422*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 15*u + 701. Calculate l(-35).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 0*x + 7*x in the form v + g*x and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-13520)\/(-165) - 66\/(-1089) is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 258 - 390. Let s = g + 132.00743. What is s rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.03, 36486, -0.02, 3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18744543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w - 113 = -122. Let h be 3*13 - (-9)\/3. Suppose -5*j = -2*d + 26, -2*d + 6*d - 5*j - h = 0. Solve -d = -u + w*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 31. Suppose -2*h - 151 = -q*c - 3*c, h = 5*c - 261. Suppose 2*a + 5 = c. Solve 0 = 2*b - 5*b - 5*n - 32, -b - 5*n = a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/43?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 19. What is the remainder when 6 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nine tenths of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 - 4*d**2 + 4*d**2)*((3 + 1 - 2)*(2*d + 3 - 3) + 0*d - d + 3*d + 0*d - 5*d + d) in the form o + w*d**2 + a*d**3 + f*d and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -164*t + 84*t + 82*t + 1. Give z(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/88 (b) 1\/5 (c) -368\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -5*p + 25, 3*b - p + 365 = 0. Let t be ((-72)\/b)\/((-6)\/(-20)). List the prime factors of (1\/1)\/(t\/32).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 8*k**2 + 7*k + 5. Let g = -18565 - -129926\/7. Calculate the common denominator of f(-4) and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*r + x = 64*r - 1, 2 = -2*r + 6*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/7*d**4 - 62\/7*d**3 - 152\/7*d**2 - 102\/7*d + 36\/7 = 0.\nAnswer: -3, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/20 and 103\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u + 84*u + 75*u.\nAnswer: 148*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 72997 (base 15) to base 3\nAnswer: 200110100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*u = 100 + 71. Which is the nearest to 0? (a) u (b) 2\/9 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 1403.5 + -1376. Which is the fourth smallest value? (a) -0.6 (b) 0.5 (c) -0.5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.1 - -51. Let r = 6 - h. Put 0.2, r, 0 in increasing order.\nAnswer: 0, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31229417 is divided by 104?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 39*(-3)\/(-39) - (-1*2)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8449\/6 or 1407?\nAnswer: 8449\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-4)\/40 - 2\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141 + 561\/4. Let w = -1 - n. Let h = 3 - 5. Put h, w, -3\/8 in decreasing order.\nAnswer: w, -3\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102357776 a multiple of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 4:58 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*f = -23, 12 = 10*r - 6*r - 4*f. Solve t = -2*j - r, 9 = 3*j - 4*t + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + 8.01. Let b(s) = s - 4. Let r be b(5). Suppose -4*i + r = -3*q + 5, -i = q + 1. Is i not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 q when three letters picked without replacement from buibqbiqbbbuiqb.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35483 is divided by 8707.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6628\/5 + -1316. Factor b**4 - 16*b - 12\/5*b**3 + l - 96\/5*b**2.\nAnswer: (b - 6)*(b + 2)**2*(5*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 8*h**2 - 13*h - 14. Is q(-8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 30*j**2 + 6*j + 9. Let x be m(-5). What is the remainder when 16\/56 - (x\/(-21) - -1) is divided by -3 + -2 + 3 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*j + 144, 5*k = 4*j + 59 + 118. Let h = -34 + k. Solve h*w + w + 7 = 5*y, 5*w = -15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31731, 63452, 95173?\n\"Answer: 31721*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 90\/(-50) + (-5)\/25. Suppose 2*g = 3*g - 3, -4*x = 4*g + 4. Let p be (d - 1)*x\/6. Solve 4*m = p*m + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1775\/1125 + ((-260)\/(-36) - 7)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {a: 5, p: 2, y: 1, w: 3, z: 3, o: 6}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2047 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/3))**(1\/7))**(-19)*(((k**(1\/2)\/k)\/k)\/((((k*k**(1\/3)*k*k*k)\/k)\/k)\/k))**50 assuming k is positive.\nAnswer: k**(-998\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41558 + -8?\nAnswer: -41567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0048 * 47\nAnswer: -0.2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d*(d*(d\/((d*d*d\/d**(24\/13))\/d))\/d)\/d))*d)\/(d**(-39)*d))**(4\/25) assuming d is positive.\nAnswer: d**(404\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 3, 20, -10 in descending order.\nAnswer: 20, 3, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 43 = 2*m - 3*m, 0 = 4*m + 5*d + 137. Let w be ((-40)\/m - 2) + 0. Sort w, -2\/7, -1 in descending order.\nAnswer: -2\/7, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-four fifths of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g - 3. Suppose 7*r = 2*r - 15. Suppose 2*x = -a + 49, -x - 3*a = -0*x - 27. Calculate the remainder when x is divided by y(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1842 divided by 67?\nAnswer: -1842\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d + 24. Suppose 24 = 4*p - 2*k, k - 4 = -0*p - 2*p. Let j = 3531 - 3525. Sort p, d, j in descending order.\nAnswer: j, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - ((-2)\/1)\/(-2). Solve 5*j = b*r + 4, -3*j + 9 = -2*r - 2*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-13)\/q*(q*(q**(1\/5)\/q*q*q)\/q)\/q*(q**(1\/4)\/q)\/((q\/q**(2\/33))\/q) assuming q is positive.\nAnswer: q**(-9563\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -5*n + 55, -50*n - 2*z - 19 = -53*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(112) + 3 - (sqrt(112) + -2 + sqrt(112)*-3))**2.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -203.64599 to 0 dps.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svq when three letters picked without replacement from ogooqsoov?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -10. Let j(b) = -b**3 + 2*b**2 - 8*b + 3. Let v be j(z). What is the common denominator of -121\/6 and v\/24 - (1 - 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 39597695?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-90)*(-18)\/24\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385374851.\nAnswer: 385374851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9 - 3.39. Let x = -0.11 + j. Let g = x - 1.40000009. What is g rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 315585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3154794 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/21)\/(-5)*(693\/(-414))\/11?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c. Let p(k) = 28*k**3 - 8*k. Calculate -8*g(f) - p(f).\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:23 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + (3 - (4 - 2)) - (-19 - (-12 - 1)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*j = 3, -15 = 5*u + 5*j - 20 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j + 6 = -58*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = 3*n, -2 = -5*n + 3*n - u. Let w be n\/8*0 + 190000. Round w to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847*t - 36051 - 2064 = 0 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -14)*(-74)\/(-6). Suppose -j = -5*j + u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/12)\/(4\/136). Let g = f + 80. Put -1, -261, g in ascending order.\nAnswer: -261, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - i - 5 = -19*z, i + 1 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -3, 0.3, 0.04, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(72)\/(3*sqrt(9))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2 + 2041944*j - 347461274928 = 0.\nAnswer: 340324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**2 + 217*o + 494. What is b(-26)?\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2 + 2 - 26\/(-4). Suppose 1748 = 11*d - l*d. Suppose -833 = -2*y + d. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-15) + 7407\/135. Suppose -2*u = 3*u - o. What is the remainder when 31 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 21\/(-20)*(-18)\/(-7).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-28))\/(121\/(-1694))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22596, -90395, -203394, -361593, -564992?\n\"Answer: -22600*z**2 + z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 34*s\/3 + 440\/9.\nAnswer: -2*(s - 4)*(s + 55)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39019999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1559\nAnswer: -3\/1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -15506.63.\nAnswer: 1550.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 11. Calculate z(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 8 - 4. Solve i + 13 = -3*g, -6*i = -a*g - i + 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y. Let j be y*2\/(4\/2). Suppose -2*k - 14 + 84 = j. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -529*v - 549*v + 1087*v - 2*v**2. Suppose 2*n - 11 = -1. Determine h(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2 - 2)*(1 + 0 + 0) + 14*j + 5*j + 9*j - 3*j + j - 4 + 0*j.\nAnswer: 24*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1) + -2 + -9. Let s = -9 - g. Suppose 1 = -w + k - 1, 0 = w + s*k - 10. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 1494*x**3 + 182262*x**2 + 6946306*x + 86920548.\nAnswer: -2*(x - 858)*(x + 37)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p + 18*p + 27*p)*(194 - 194 - 35*p**4).\nAnswer: -1995*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7301*v - 226331. What is t(-31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Suppose 0 = q*s - 1 - 15. Let o(j) = -s + 0*j + j + 2. What is o(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2245*j**2 - 2237*j**2 - 2235*j**2 - 2240*j**2 - 6 + 8962*j**2.\nAnswer: 5*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23124140?\nAnswer: 2, 5, 13, 19, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/(12\/2). Let t be ((-6)\/(-8))\/((-39)\/(-8)). Which is the closest to 2\/7? (a) t (b) k (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/2 (b) -0.148 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42309?\nAnswer: 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.4 - -33. Let i = r - -3.1. Let w = 2.3 + i. What is the second biggest value in 2, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12532971 to the nearest integer?\nAnswer: 3540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gknggngkkkttgngnggt. What is prob of sequence kn?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 102725828 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*v = 681 - 509. Let h(g) = g**3 + g**2 + g - 1. Let b(d) = 41*d**3 + 6*d**2 + 6*d - 6. Give v*b(u) + 6*h(u).\nAnswer: -35*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w + 19*w - 25 + 18*w - 55*w.\nAnswer: -w - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1032 (base 6) to base 12\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 + 2431. Let b = s - 1343. Is 2\/3 + b\/9 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/13, -2, -1\/11218, 1\/232 in ascending order.\nAnswer: -2, -1\/11218, 1\/232, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 29.56356\nAnswer: 118.25424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 36 = -3*y, -3*l - 731*y + 732*y = -12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-30) - ((-11368075)\/(-75))\/(-6 - -1). What is l rounded to the nearest 100?\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2677 + -96.463\nAnswer: -96.1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12100 - -2?\nAnswer: 12102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 + 121.721. What is w rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 4*h**2 + 10*h - 10. Let f be b(3). Solve f*l + 3*z = -15, -3*l - z = -0*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39690384 is divided by 287.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/360 - l**5\/24 + l**4\/6 - 3*l**3\/2 + 3*l**2. Let f(y) be the first derivative of w(y). Calculate f(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*3\/(-42))\/((-17)\/34)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 5:54 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 0.1, -5, -105\/26, 4?\nAnswer: -105\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 6*z**2 + 2*z**2. Let o(m) = 7*m - 3*m + 5*m - 7*m. Calculate o(i(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -33.7. Let q = -3.995 - 0.005. Which is the smallest value? (a) q (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t - 32. Let r be 0 + (-2 - -2) - (0 - -1). Let c(w) = -w - 1. Let v(y) = r*g(y) + 3*c(y). What is the derivative of v(b) wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/77*1 + 14\/44\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8878.364 - -11.636. Let f = y + -8835.61. Round f to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174 and 4.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 0.1. Let o be -3 + 1*(3 - 1). Let l = -3.2 - 0.8. Which is the third biggest value? (a) o (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -34. Suppose -2*r + 7*s - 4*s = -3, 2*r = -4*s - 4. Suppose r = -2*i + 97 - 95. Solve q*w + d = -2, -5*w - 5 = -d + i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.078 (b) 0 (c) 690\/7 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-76)\/133 + (-428)\/(-1484). Let o = q + 59\/583. Let b = 7.91 - -0.09. Which is smaller: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -26*l**4 + 22226*l**3 - 347268*l**2 + 1342144*l + 214784 = 0.\nAnswer: -2\/13, 8, 839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1090*b + 547*b + 538*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddgdgodooogggoggoo. Give prob of sequence gddd.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -164250*c**2. Let t(x) = -2*x + 3. Give t(n(q)).\nAnswer: 328500*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*l - 67893490 = -67895442 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 10\/4)*-2. Let w = 2179\/74 - 59\/2. Which is greater: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -3.6 (b) -0.2 (c) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3076532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 0.3. Let h = y - 5. Suppose 148 = -83*w - 267. Which is the third biggest value? (a) 10\/3 (b) h (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - -0.68. Let p = a - -0.3. Let t = 1.1 - p. What is the closest to -2\/7 in -5, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 <= 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 262691519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 + 2*x**2 - x + 1. List the prime factors of o(-2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:42 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 5. Let r(j) = 14*j - 42. Let x(c) = -119*c + 357. Let g(k) = 42*r(k) + 5*x(k). Let o(y) = 4*g(y) + 18*z(y). List the prime factors of o(10).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -38, 48 in descending order.\nAnswer: 48, 0.4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 30. Suppose 0 = -0*n - 5*n + 15. Suppose n*z = -2*z + 225. What is the greatest common factor of z and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-10\/11)*h**(1\/5)*h*h\/(h*(h**(1\/2)\/h)\/h) assuming h is positive.\nAnswer: h**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 - 17.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**3\/(t\/(t**(-2\/39)\/t)) assuming t is positive.\nAnswer: t**(37\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -1.6 (c) -1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*j + 5. Let u = j - 5. Solve 7 = u*f - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2)*-2 + (sqrt(2) - 2*sqrt(72)))**2 + 3 + 0 + sqrt(32))*-1.\nAnswer: -345 - 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 23808009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = 8. Let h(f) = -n*f + 2*f**3 + f**3 + 3*f - 2*f**3. Let c be (-3)\/2*12\/(-9). Determine h(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.8 at most as big as 1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6460967 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7889 less than 447?\nAnswer: 447.7889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 1 - 2*t + 0 - t. Suppose 0 = 4*u + 35 - 11. Does 2 divide c(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 150*a**2 + 540*a + 520.\nAnswer: 5*(a + 2)**2*(a + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a day in hours?\nAnswer: 948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 447*n + 109058. What is r(-244)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 14, k: 5}. What is prob of sequence kkdk?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 1. Let s be p(5). Let c(k) = 5*k**2 + 12*k + 3. Let z(l) = -14*l**2 - 36*l - 10. Let v(g) = -17*c(g) - 6*z(g). What is the tens digit of v(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107220 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(5 + -4*(sqrt(125) - sqrt(125)*3))*-5*-3)**2.\nAnswer: 90000*sqrt(5) + 1805625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -1064.\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 168*x + 87. What is the tens digit of y(43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-1))\/(-6))\/(12\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -10. Suppose -2*x + n = -4. Is x a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6437*j - 76. Let h(c) = -c - 5. Determine 30*h(w) - 2*v(w).\nAnswer: 12844*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 5) to base 9\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 2*v**2 - 12*v**2 + (-2 - 2*v + 2)*(2*v + 4*v - 3*v) - 2*v**2 + 3*v**2 + v**2 + 3*v**2 - 4*v**2 + 0*v**2.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -278316 divided by 92772\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12659948 and 48?\nAnswer: 151919376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7. Let w(y) = -y - 11. Let u(f) = -8*h(f) + 5*w(f). Let m(g) = -g**2 + 4*g. What is -3*m(r) - 2*u(r)?\nAnswer: 3*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5872*r**5*u**3 - 11*r*u**3 - 872*u**3 wrt r?\nAnswer: 117440*r**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58786293 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 + -62. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1008)\/308 - (-6210)\/(-99)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*f + 378 - 2021 - 1133 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 7*m**2 + 7*m**2)*((3*m + 2*m**2 - 3*m)*(0*m - 4*m + 2*m) + m**3 - m + m + 0*m**3 + 3*m**3 - 5*m**3).\nAnswer: -55*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3125801, -3125798, -3125795, -3125792?\nAnswer: -3125789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 282.4+-136\nAnswer: 146.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8067?\nAnswer: 3, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwswwww. What is prob of picking 3 w?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -699591.6288 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, 2, -4643, -3 in increasing order.\nAnswer: -4643, -185, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4928 divided by -176\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -126. Suppose 0 = -5*t + d. Calculate the remainder when 23 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014609 to five decimal places.\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 6*p**2 + 8*p + 6. Let y = -1 + 2. Suppose 2*s + q = 3*q + 8, q = 3*s - 4. Let t(j) = -j**2 + s + 0 - y - j. Determine m(b) + 6*t(b).\nAnswer: -b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yam when three letters picked without replacement from {s: 1, m: 2, a: 9, y: 8}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14867*x - 242 wrt x?\nAnswer: -14867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2*172\/1806)\/((-2)\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98 or -99?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11212221 (base 3) in base 9?\nAnswer: 4787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79a (base 14) to base 4.\nAnswer: -113210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttxtxttxtt. Give prob of sequence txx.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1682795 - 1682795 + 12*t**3 - t**2.\nAnswer: 12*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13863051 and 1908?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 17*j + 46. Let b be z(-4). Let k be 5\/(-20) - 15\/b. Determine h, given that -9\/4*h**3 - 3\/4*h + 0 + 3\/4*h**4 + k*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004881 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 4 - 10*i**2 - 8.\nAnswer: -10*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 11*j - 22. Let m be l(12). Let a = 66 - 33. Let i = m + a. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88829823 divided by -3?\nAnswer: 29609941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545789 is divided by 272855.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 64\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (384\/36)\/(3\/(81\/12)*30\/40)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 19 - 2 - 14 - 17\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1872, 8111, 18530, 33135, 51932?\n\"Answer: z**3 + 2084*z**2 - 20*z - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513841 is divided by 2839.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44417791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - 5*l - l - 5*l + l + 2*l + (4*l - 5*l + 2*l)*(-3 + 1 + 3) - l - 3*l + 2*l + (-l + l - 3*l)*(0 - 2 - 9).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 12 = -2*t. Let p be (48\/(-224))\/(3*t\/8). Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 52359*m + 7 + 52342*m + 5.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 12*c + 5. Let r be m(6). Suppose 6*b = 7 + r. What is the highest common factor of b and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/20 + i**4\/2 - i**3\/2 - 5*i**2\/2 + 3*i. Let p be o(5). Let d(h) = h - p + 0*h + 5. Let x(f) = 3*f**2. Give d(x(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -23*v + 188. Let w be (v + -20)*378\/(-8). What is the greatest common factor of 27 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 0*s - 3*s + 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4100 - 1695. List the prime factors of b.\nAnswer: 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (0 + -2 + -4). Let s be (p - 1)*2\/3. Solve 5*o = o - j + 10, s*j = 5*o - 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8308572, 16617167, 24925762, 33234357, 41542952, 49851547?\nAnswer: 58160142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 + 199. Let i = -188 + c. Let z = i - -85. Is z smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84119 and 1708.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1683 - 886. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/9 + 264\/27. Suppose -2*y = 3*y - o. Suppose y*r + 4*p = 102, 2*r + 2*p + p - 101 = 0. What is the greatest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, e: 1, f: 2, u: 5, g: 3, k: 1}. Give prob of picking 3 u.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b + 3*b - b - 7*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*n + 2748, -4*n = 3*d + 522 + 1544. Let q = d - -2204. Suppose 3*c - 839 = q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p. Let d(q) = 2*q**2 - 5. Let s(j) = 2*j + 6 - 3*j + j - 2*j**2. Let f(y) = -6*d(y) - 5*s(y). Give f(x(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2 + 4 + 0 - 2 + (-2 + 3 - 2)*(-2 - 3 + 4) + 0 + 3 - 4)*(236*t + 230*t + 3 - 491*t).\nAnswer: -25*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 404*f + 61206 + 2\/3*f**2.\nAnswer: 2*(f + 303)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22464 and 26752.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(21)\/sqrt(3) - (sqrt(7) - (sqrt(42) - sqrt(378))\/sqrt(6)))*-5.\nAnswer: 5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 19*c**2 + 77*c - 38. Determine p(8).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-11235*u + 5622*u + 462 + 5615*u).\nAnswer: 2*u + 462","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbllqzbnqlqqqpnzbzq. What is prob of picking 2 l, 1 p, and 1 q?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:51 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94695.\nAnswer: 3, 5, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-38)*h\/(h\/h**(-8)) assuming h is positive.\nAnswer: h**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -9 - 0*(-6)\/(-42). Let l(s) = s**2 - 8*s. What are the prime factors of l(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-14112)\/20)\/(9\/(-45)). Suppose n = -36*z + 39*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1216)*-3)**2 + sqrt(1216) + -1).\nAnswer: -32829 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 + 0.2. Let r = -0.3 + 0.8. Let g = 0.06 - 2.06. Which is the nearest to -1? (a) g (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 17*h**2 - 16*h + 1. Let j be n(-16). Let x be 3\/j - (3 + (-1 - 1)). Solve -r - 3 = -k, 4*r + 6 = 3*k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*i - 12, 4*i + 18 = -3*o - 2. Let h = o + 8. Suppose 5*w - 3*s - 64 = -s, 4*w - 68 = -h*s. What is the remainder when w is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001110 (base 2) in base 12?\nAnswer: -23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 21, -1, 8 in ascending order.\nAnswer: -2, -1, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 453, 627, 799, 969?\n\"Answer: -i**2 + 177*i + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31430.\nAnswer: 2, 5, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i + 93. Let r be w(-10). Suppose r*h - x = 16, -2*x - 3 = -1. Which is the smallest value? (a) -0.1 (b) h (c) 3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1566? (a) 2\/13 (b) -2\/7 (c) 1491\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s**2 + s - 13. Let d(v) = 7*v**2 + 9. Let z(w) = 7*d(w) + 5*m(w). Give z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 12*y + 8. Is v(-18) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 60 - 57 = 3*n, 4*n + 28 = -4*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 4. Let j(l) be the second derivative of 5*l**3\/6 - 15*l**2\/2 + l. Suppose 62*q - 60*q + 25*q + 108 = 0. Give q*j(h) - 15*p(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2905*-0.334\nAnswer: -970.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 813844.9 centimeters in micrometers?\nAnswer: 8138449000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -4\/9, -0.5, 1\/6 in descending order.\nAnswer: 1\/6, 0.13, -4\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 - 490*y**2 - 733*y**2.\nAnswer: -1214*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 697.8 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2)*s**(-2\/3))**49\/(s**(-2\/11)\/(s*s**(1\/3))*s\/s**1*(s\/(s**8*s))\/s) assuming s is positive.\nAnswer: s**(4120\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 3*u. Let h(z) = z**2 + 0*z - u + 7*z - 2*z. Let n be h(-6). Solve -n*p = 12 + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m - 18*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a - a - 5*a + 7*a. Let k(u) = 3*u + 6. Let m(n) = -9*n - 17. Let s(o) = 17*k(o) + 6*m(o). Give s(i(t)).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78046125*v**2 - 282725420*v wrt v.\nAnswer: 156092250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(228)\/(sqrt(60)\/sqrt(5)).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (-35 - -53 - 15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 - 60*r**4 + 180*r**3 + 70*r**2 - 825*r + 630 = 0 for r.\nAnswer: -2, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 19*u**2 - 65*u + 12. Determine i(22).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5017*a - 5034*a - 3, 0 = -3*a - 4*q - 57 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-623 - 435 - 519)*(0*x - 2*x + 0*x + (1 - 2*x - 1)*(-1 + 1 + 1) - 5*x - 2*x + 4*x + (4 - 2 - 4)*(-3*x + 2*x + 3*x)).\nAnswer: 17347*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1547*s - 240929 = 4056*s for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-12)\/(-80)*2)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1281.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 99729713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a908 + 435?\nAnswer: -a4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 37, -0.3 in descending order.\nAnswer: 37, 2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-48))\/((-2)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203385800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122820 and 27600.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342308 is divided by 1240.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4850\/5 + (1 - -2). Let y = n + -666. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2 - 6, 2*j - 76 = 5*r. Let y = -55\/2 + j. Let g = 142 + -145. What is the second biggest value in y, g, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 108496384 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -108, -103, -96, -87?\n\"Answer: t**2 + 2*t - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-45))\/(-6 - (-89)\/15). Factor 3\/2*a**5 + 33\/2*a**4 + 24 + 84*a + 129\/2*a**3 + 219\/2*a**k.\nAnswer: 3*(a + 1)**3*(a + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*d**2 - 6*d**3 + 6*d**2 + 2*d**2 wrt d?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18687329*h - 18687329*h + 9*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205 - 201. Solve -d*m - 10 = -18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*t**3 + t - 243*t**2 - 2*t + 245*t**2 + 72*t**3 to j*t**2 + l*t + p + h*t**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*i**5 - i**4 - 516*i**3 - 146*i + 46.\nAnswer: -420*i**3 - 12*i**2 - 3096*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (87\/12 + -7)*-2 + (-1485)\/(-6). Calculate the greatest common divisor of 703 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 2 = -11*y + 15. Suppose -3*i - i + i = 0. Factor 4*r**y + 0*r + i - 4\/3*r**4 - 8\/3*r**2.\nAnswer: -4*r**2*(r - 2)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 32 = -3*b. Let i = 250 + -255. Calculate the lowest common multiple of -6 + 2 + -2 + i + 38 and b.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + b + 5*b)*(2 - 1 + 0) + 6*b - 2*b - 2*b + 3*b - 2*b + b + (6*b - 4*b - b)*(-1 - 1 + 3) + 2*b + 0 + 0.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*p - 111*p + 6839280 = -11*p. Is p a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 4, e: 3, m: 2}. What is prob of sequence oejm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjj when three letters picked without replacement from {f: 3, p: 2, a: 1, j: 3, n: 2, y: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 3\/20*f**5 + 12*f + 0 - 6*f**2 + 0*f**3 + 0*f**4. What is the first derivative of d(s) wrt s?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -61, -94, -129, -166, -205, -246?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.95 + 48.05. Let n = 46.9 - c. Let h = -2.1 - n. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196736 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -24*y**3 + y**2. What is the tens digit of q(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4158250 or 4158283?\nAnswer: 4158283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -69. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*r = -8, -5*h - 5*r = 11 + 9. Is -1 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*y - 32 - 66*y + 9 - 263*y - 214*y)*(-y**4 + 3*y**4 - y**4).\nAnswer: -500*y**5 - 23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (11\/33)\/(124\/(-3596)*2\/6)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 30*c**2 - 23619*c + 34904321. Let z(u) = -23*u**2 + 17714*u - 26178238. Let h(s) = 10*v(s) + 13*z(s). Determine q, given that h(q) = 0.\nAnswer: 2954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -19*o. Let x(u) = -20*u. Determine -3*f(q) + 2*x(q).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 - 637\/4. Which is the second biggest value? (a) p (b) -3 (c) 2\/7 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*i + 15 = 0, -2*y - 3*i + 15 = -2*i. Suppose 3*d - d = y. Find the first derivative of 0*t**3 - d + 4 + t**3 wrt t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, -19, -82, -187, -340, -547?\n\"Answer: -b**3 - 12*b**2 + 16*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13750, -27530, -41332, -55156, -69002, -82870?\n\"Answer: -11*c**2 - 13747*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/15)\/b**(-24)*b\/(b*b*b*b\/(b\/(b\/(b\/(b*(b\/((b\/(b*b**0))\/b))\/b)))))*b**(-4) assuming b is positive.\nAnswer: b**(239\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 33 - 5*t + 21\/2*t**2. Differentiate y(i) with respect to i.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + sqrt(55)\/sqrt(5) + -2).\nAnswer: 8 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2252049 by -750683.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 32 = -25*w. Suppose -16 = -4*o - 2*i, -3*o + 3*i - 2 = 4. Factor 2\/11*b + 6\/11*b**3 + 6\/11*b**o + 0 + 2\/11*b**w.\nAnswer: 2*b*(b + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6048\/324 - (-2 - -20). Suppose 0*a + 8\/3*a**3 + 10\/3*a**4 + 0 + s*a**5 + 0*a**2 = 0. Calculate a.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43436.5 - -1.27.\nAnswer: 43437.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q - 9*q - 10 + q + 21 + 6 in the form n + w*q and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254709492 to the nearest integer?\nAnswer: 15960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 6012\/10)\/(4237\/(-190) - -22). What is the greatest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.13 take away -34.56?\nAnswer: 29.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -120*b + 14. Let s be x(-2). Let l = -95 + s. What is the remainder when l is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1, 240, 0.8, -4, 5, 66, -0.4?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 14. Let p be 93\/((j - -12)*(-6)\/(-48)). Solve -p + 108 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3349743.6 plus 6.08?\nAnswer: 3349749.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229899314 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 17298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15690 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -568, -1964, -4692, -9196, -15920, -25308?\nAnswer: -37804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/6)\/a)**(-23)\/(a\/(a*a**(-2)*a))**(4\/15) assuming a is positive.\nAnswer: a**(189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 12*z**2 - 11*z + 16. Suppose 5*i - 6*i = -27. Let t = 38 - i. Is h(t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26644 is divided by 2421?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -493 and -493 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-2 + (-3)\/(-3). List the prime factors of (-3 + (1 - y))*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -549.1 + 549. Which is the biggest value? (a) 0.2 (b) 5\/3 (c) 5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2411988 + 2411988 - 5191*l.\nAnswer: -5191*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14964 - -14968. Solve -4 = -4*g + 2*s - 2, g - k*s = -17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -2*h**2 + 2\/3*h**3 - 1 - h. What is the remainder when 14 is divided by m(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103356 or -413423\/4?\nAnswer: -103356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1442593?\nAnswer: 37, 127, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + n = -31, n = -37 + 31. Let r(k) = 4*k**2 + 13*k - 3. Let z(d) = 2*d**2 + 7*d - 1. Give a*z(b) + 2*r(b).\nAnswer: -2*b**2 - 9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -40*b. Calculate j(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1773686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/17 (b) -1 (c) -2\/959 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 179566 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -120*j + 6. Let r = -13 - -10. Let x(l) = -239*l + 12. Let k(q) = r*x(q) + 5*h(q). Is k(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -262.82 + 263. Let s = u - 0.179999913. What is s rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181399140 to the nearest 10000.\nAnswer: 181400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -579 by -1457.\nAnswer: 579\/1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.4 + -16.4. Let k = -14 - q. Does -1\/2 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0681 * -7.41526.\nAnswer: 0.504979206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/60 + 5*k**4\/24 - k**3\/2 - k**2. Let c = -164 - -167. Suppose 0 = 5*v - c*v - 6. Determine r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**5\/7 + 24399*f**4\/7 - 3*f**3\/7 - 24399*f**2\/7 = 0?\nAnswer: -8133, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*a - 227*a + 78*a + 75*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 16209 = -r + 16334, -3*r - 25 = i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 5*s - 9. Let o be w(3). Let m = 943 - 943.3. Which is the fourth biggest value? (a) o (b) m (c) -0.089 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**5\/60 + m**4\/8 + 3*m**3\/2 - m**2\/2 - 1. Let f(i) be the second derivative of o(i). Is f(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187009534 divided by -2.\nAnswer: 93504767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50700 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 960768671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37041*v**2*x**3*z**2 + 2*v**2*x*z**2 + 712797*v**2 + 6183*v*x**3 - 2*v*x**2*z**2 + 9*v*z**2 + 4*v wrt x?\nAnswer: -222246*v**2*z**2 + 37098*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40308205?\nAnswer: 5, 7, 67, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97*b**2 - 25.\nAnswer: 194*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*u**2 - 1 + 2*u + 7 + u**2 to the form v*u + a*u**2 + t and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149290691?\nAnswer: 11, 1289, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 77*j - 74. Determine m(38).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2 (b) -1\/8 (c) -1.4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-13 - 0) - 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -324 - -4862\/15. Which is the third smallest value? (a) 5\/2 (b) x (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5 = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v**3 + v**2 + 3*v + 4. Give n(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (-3322)\/(-121) + 4\/22?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77389 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, o: 2, y: 1, x: 6, r: 2}. Give prob of sequence oxxy.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -20. Is 4 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + 1*sqrt(98))*-4 + 5)**2.\nAnswer: -616*sqrt(2) + 1689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*((sqrt(528) - -1*sqrt(528)*4 - sqrt(528) - sqrt(528) - sqrt(528) - sqrt(528) - sqrt(528))\/sqrt(12))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/135019 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32804352 a multiple of 1356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-10)*(c**0)**(3\/5) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -332 + 494. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 176, 177, 180, 185, 192, 201, 212?\n\"Answer: c**2 - 2*c + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000359869 rounded to 5 decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1156 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213700910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2\/9 (c) -135.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1522\/23 + 1135903\/17204. What is the common denominator of y and -11\/4?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 13*q**3 - 2*q**2 - 2*q + 2. Suppose -42 = -x - 2*r - 46, -2*r - 6 = 0. Let a(v) = 90*v**3 - 15*v**2 - 15*v + 15. Determine x*a(b) - 15*h(b).\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + 0*l)*(0 - 3*l - 2 - l).\nAnswer: 8*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58679?\nAnswer: 58679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -33*z. Let u(k) = -3*k + 2. Let a(p) = -16*p + 11. Suppose 4*s + 4*b = 3*b + 39, 5*s = 2*b + 65. Let c(o) = s*u(o) - 2*a(o). What is y(c(n))?\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 1. Let n(x) = -669*x + 2. Calculate -3*c(m) + n(m).\nAnswer: -666*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2314 and 2759.\nAnswer: 71734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(68))*-4.\nAnswer: -8*sqrt(17) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61889*p = -61952*p + 3213 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (7 - 3) - (161 + -177).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/787750 and 8\/25?\nAnswer: 787750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(-1*sqrt(6)) - 2*sqrt(1700))**2 + -1 + -2.\nAnswer: 7494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40.2 at least as big as 0.56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obi when three letters picked without replacement from obiiiiiiio.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -30, -2, 3055 in ascending order.\nAnswer: -30, -2, 0, 3055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -204 + 35?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 2)\/(2\/121). Let w = v + -62. Let g = -0.69 + -0.31. What is the closest to -2\/5 in g, w, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h - h)*(-h**2 + h**2 - h**2) + (1 - 47*h - 1 + 4*h)*(0*h**2 - 6*h**2 + 5*h**2).\nAnswer: 45*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 9 = 5*t + 5*x, -t + 4*x - 6 = 0. Let w(l) be the second derivative of 0 - t*l - 1\/6*l**3 + 0*l**2. Let v(h) = -14*h**2. What is v(w(p))?\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2. Let i(w) = -w - 2*w + 5*w. Let t(s) = s. Let p(q) = -i(q) - 2*t(q). Give v(p(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 392\/(-606) + (-22)\/(-33). Let k = b - -184\/909. Let a(i) = i - 14. Let w be a(10). What is the biggest value in -5, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, 4, -4 in ascending order.\nAnswer: -12, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2757*g + 99272. Determine c(-36).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27182608993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -2. Solve -4*u - 3*g = -35, 0 = 2*u + 3*g + k - 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 0*v**2 + 0*v + 41 - 4\/3*v**3. Let h(d) = -22*d + 22*d + 2*d**2. Determine q(h(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.08 (c) -5 (d) -0.2447\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 3*j = -5*w + 196, 3*w = j + 42. Let l be 40\/(-15)*j\/4. Suppose -s - s + l = 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d - 6*d, 5*d = 2*c - 91. Let r = c + -43. Let m be ((-3)\/(-42) + 0)*2. Which is bigger: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027850036 to four decimal places.\nAnswer: -0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*((-27)\/6 - -3). Suppose p*u - 12 = 5*u. Suppose 7*l - 204 = u*l. Calculate the greatest common divisor of 34 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*v - 12, 24 = 5*t - 2*v + v. Let s be (1 + t)*3\/3. Suppose s*f = 2*h - h + 354, -5*f + 4*h + 351 = 0. What are the prime factors of f?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.28, 1, 3, -1\/8, 0.154, -3, -4\/25?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -76.47 * 0.2\nAnswer: -15.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*h**2*t**3 + 1172*h**2*t**2 + 339*h*t**3 - 2*h*t wrt h.\nAnswer: -24*t**3 + 2344*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29472, 44381, 59290?\nAnswer: 74199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 13*j - 32. Let w be q(-9). Suppose 292 = 5*g + 3*f, -5*g + f + w*f + 260 = 0. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648)*4*-6*3)\/(sqrt(64) + (sqrt(64)*-2 - sqrt(64)) - sqrt(20)\/sqrt(5)*-4))**2.\nAnswer: 52488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -47. Let t(s) be the first derivative of 1\/3*s**3 + s**l + 0*s + 1. What is the second derivative of t(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 99005267579?\nAnswer: 99005267578.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 10) + 19 + -1 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -81073 - -3.02\nAnswer: -81069.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 5. Suppose 0 = -5*h + 2*r + 31, 2*r + 3*r + 10 = -h. Give a(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 76987*s - 230952.\nAnswer: -(s - 76984)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*i - 4 - 13*i)*(3*i**4 + 13*i**4 - 6*i**4).\nAnswer: -90*i**5 + 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -47. Let u be ((-3)\/(-9))\/(1\/(-9)). Sort u, 4, t in decreasing order.\nAnswer: 4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -766, -765, -758, -745?\n\"Answer: 3*f**2 - 8*f - 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 31638*b + 3 - 63266*b + 7 + 31634*b.\nAnswer: 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2979, -6337, -9695, -13053?\n\"Answer: -3358*w + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 375\/10 - 6\/(-4). Suppose 5*p - 4*y = -188 + 568, y - 5 = 0. Let l = p - s. What is the highest common divisor of l and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 7*f = 33 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 29*t + 134. Let r be d(-10). Calculate the greatest common factor of 99 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = 0. Let m(v) = 2*v - 4 + 3*v + n*v + 3*v. List the prime factors of m(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2109 - 1254. Suppose k + 4*k = z. Suppose -d - k = -4*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-810)\/(-39) - 63\/(-273). Solve -4 = -g*v + 25*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -63. Let g(n) = 16*n + 186. Let i be g(-13). Let j = i - t. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + s)*((-3 + 4 + 1)*(63*s + 18*s - 8*s) + 2*s + 0*s - 3*s).\nAnswer: 145*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - 2*p)*(-1 + 2*p + 1)*(6*p**2 - 15*p**2 - 6*p**2).\nAnswer: 60*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -158*l**3*v - 6672575*l**3 + 44154*l*v**3 + 1 wrt v.\nAnswer: -158*l**3 + 132462*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55016771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 291 + -288. Let q = -4 + 12. Let u be (-8 - -5)\/((-6)\/q). Solve h = -s*h - u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*l**3 + 2205*a*l**2 - 1891144*l**3 - l**2 + 598 wrt l?\nAnswer: 12*a - 11346864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/16)\/(-1)*(-3)\/(3\/(-25))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5606 + -5649. Sort -3, f, -20 in ascending order.\nAnswer: f, -20, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 4*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*d*g + 337477*d + 5861179*g wrt d.\nAnswer: 6*g + 337477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let d = q + -1.5. Suppose -2*x - 2 = -4*i, -3*x - i = 8 + 9. Which is the third biggest value? (a) -0.4 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107235*x**2 + 3*x - 95?\nAnswer: 214470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 5*d + 4. Suppose y + 2 = 4, 0 = -4*q - 4*y - 4. Let t be a(q). Is -2*31\/t + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 1134*l - 6876.\nAnswer: 2*(l - 573)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 409, 276, -75, -752, -1863, -3516, -5819, -8880?\n\"Answer: -18*q**3 - q**2 - 4*q + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 21*j - 144. Calculate the remainder when q(-27) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163500 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4539*i**3 - 10*i**2 + 2*i - 1389. Let d(b) = 22696*b**3 + 55*b**2 - 11*b + 6948. Let m(k) = 11*a(k) + 2*d(k). Differentiate m(s) wrt s.\nAnswer: -13611*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/17)\/l*l**(-1\/5)*(l*(((l*l\/(l\/(l*(l**(-2)\/l)\/l*l))*l)\/l)\/l*l)\/l)**28*l\/((l*l\/(l**(-1)\/l*l))\/l)*l**3*(l**(1\/3))**(-36) assuming l is positive.\nAnswer: l**(-3322\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - ((-4 - 5) + 6)) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.96905 to 1 decimal place.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138\/299)\/((-90)\/(-10920)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*j**2 - 7*j**2 + 1 + 3*j + 40*j**2 - 25*j**2 as y*j + r + u*j**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence didr when four letters picked without replacement from {c: 1, i: 2, b: 3, r: 1, d: 9, q: 2}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/831 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/132 - 155\/(-22)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 12. Let z be x(8). Is -4 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17 - -0.01. Let k = -0.06 - y. Is 2\/7 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1148547, 1148476, 1148357, 1148190, 1147975?\nAnswer: 1147712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -81*n - 21. Let k be p(5). Let r = 429 + k. Solve 3*w = -r*s + 9, 0*w = w - s - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1047 - -2208?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 2508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0.5, -3\/2, -11, -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1256088 and 139\/4044.\nAnswer: 423301656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*k**3 - 11*k**2 + 16*k**2 - 23*k**2 - 3*k**3 in the form s*k**2 + r*k + y + v*k**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1296)*5 + sqrt(1296))\/((6*sqrt(8) + sqrt(8))*2))**2*-3.\nAnswer: -157464\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = -4*j. Let y be (-45)\/6*6\/(-9). Let x = 4 - y. Sort j, x, -5 in decreasing order.\nAnswer: x, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1579, -5685, -12515, -22069?\nAnswer: -34347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3549, 28479, 96145, 227913, 445149, 769219, 1221489?\n\"Answer: 3561*m**3 + 2*m**2 - 3*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147914 at least as big as 147912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.1795 + -0.1795. Let s = -10.08 + 10. Let w = 0.58 + s. Which is the fourth smallest value? (a) 0 (b) w (c) m (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/(-72))\/(1\/1167). Suppose 0 = 4*x - j + 78. Suppose 3*v = -2*v + x. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41210 and 190200.\nAnswer: 2472600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131283 less than or equal to 1131282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + u - 11, -u = -3*i + 42 - 13. Suppose q + 7*l - 16 = 10*l, -4*q = -4*l - 64. Calculate the lowest common multiple of i and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 1580*y = 1583*y + 18, 0 = -5*c - 5*y - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23305 divided by -36.\nAnswer: -23305\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2\/9 - 7478968*y\/9 = 0. What is y?\nAnswer: 0, 1869742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 5660776.\nAnswer: -5\/5660776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 686516 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7*6\/(-12). What is the smallest value in -3\/2, 0.4, 0.32, v?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9*p)**(1\/4) assuming p is positive.\nAnswer: p**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 9 = 23. Let a be s\/9 - (-232)\/72. Solve 0 = a*o - 1 + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130322 (base 7) to base 11\nAnswer: -17186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3834?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 - (7 + -6 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/33107630 and 21\/2527300.\nAnswer: 331076300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8929237 to the nearest integer?\nAnswer: 2988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*i = 96, 0 = -0*i + i + 1. Let y = -2\/2651 + 29187\/34463. Find the common denominator of y and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 317501 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) 4\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmhhhhjj. Give prob of sequence mh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 296*j - 625*j + 11819 - 3043 + 8990 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 4. Let a be u(0). Suppose a*b + 5*t - 19 = 0, -5*t + 0 = 2*b - 17. Find the common denominator of -99\/10 and (1 + b)\/((-4)\/63).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 9:30 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (-5)\/(15\/(-18)). Let f(m) = 2*m - 4*m + j*m. Let i(k) = -2*k**2. Determine i(f(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47c1 - -53?\nAnswer: -476b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4614386 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 78114 (base 11) to base 9\nAnswer: 182336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30498)\/14508 - (-2)\/(-31)) + 2. Sort 164, -0.3, j.\nAnswer: -0.3, j, 164","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a53 (base 16) in base 10?\nAnswer: 10835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -23*j**4 - 6*j. Let k(w) = -w**4. Let m(v) = 2*k(v) + u(v). What is the second derivative of m(s) wrt s?\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 less than 641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/4)\/((-3)\/(-30)). Solve -32 = -4*z + 7*h - 11*h, -5*z + j = 2*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h - 12. Suppose -7*y = -11*y, b = 3*y + 9. Solve h*o + b = -7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -14. Let u(n) = -n**3 + 8*n**2 - 7*n - 10. Let q be u(k). Let b be 4\/q - 69\/(-60). Is b greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, l: 2, d: 1}. Give prob of picking 1 l and 2 r.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 10*w - 6664. Suppose 15*g - w = g. List the prime factors of g.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4. Suppose h*n - 84 = 3*r, 3*n + 71 = -4*r - 16. What is the units digit of 1\/4 + (-66)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 14. Suppose 4*n = 1 + h. What is the lowest common multiple of n and 7 - ((-1)\/(-3) + (-8)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(48) - sqrt(3888)).\nAnswer: 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17349, 1, 21 in descending order.\nAnswer: 21, 4, 1, -17349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.618 and -0.3.\nAnswer: 0.1854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-567624)\/(-22))\/6 + 6\/(-33). Suppose j = 8*x - 76. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 160 = 4*g, -2*g + 132 = 4*f + 2*g. Is 7 a factor of f*1\/(-4)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*t = -12, -3*t = -3*s - 5 + 11. Suppose -2*u + 44 = -5*g - 24, -2*g - 120 = -s*u. What is the remainder when 69 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 1, c: 1, f: 3, e: 6}. Give prob of sequence fffe.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1981 - 778. Are 1202 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 (base 9) in base 2?\nAnswer: 100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 r when three letters picked without replacement from {r: 3, c: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + sqrt(7) + sqrt(7) + -2 + 5 + sqrt(63) + -3*sqrt(21)\/sqrt(3) + sqrt(63) + 0 - (5 + 4 + 1*sqrt(63)\/sqrt(36)))**2.\nAnswer: -66*sqrt(7) + 991\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/2070*-9)\/(7\/((-28)\/(-3))).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -12*y**2 - 50*y - 1. Let c(l) = -7*l**2 - 24*l - 1. Give 5*c(o) - 3*j(o).\nAnswer: o**2 + 30*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29706702541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m, m + 0*m = 5*w - 537. Suppose -4*o + w = -o. Let l = o - 21. Calculate the remainder when 24 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*m + 20. Let o(x) = x**2 - 22*x + 57. What is o(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 489 and 150938?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15403 - 3021. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i - 4*c - 4, -3*c = -5*i + 10. Let k(h) be the first derivative of 0*h - 1\/2*h**2 - i. Let o(q) = q. Give o(k(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**4\/7 + 4*c**3\/7 + 4*c**2\/7 - 37. Factor j(r).\nAnswer: 4*r*(r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10088451 or 10088461?\nAnswer: 10088461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, -311, 0, -2 in descending order.\nAnswer: 141, 0, -2, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 40 + 7 = 0. Let w be (-44)\/h*(-1 + -2). Suppose -x + 3*x - 2 = -3*d, -40 = -5*d + w*x. Solve -p - d = -5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -d + 2*k - 6, 4*d + 13 = 3*k. Let a = 10 + d. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 3*f**2 - 3. Let g(j) = -2*j**3 + 2*j**2 + 2. Let u be (-6 - 12\/(-4)) + 5. Give u*r(y) + 3*g(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 29. Let q be 28\/d - 4\/2. Which is the closest to 1? (a) 3 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.411 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 + 13*f + 4. Let x(m) = 11*m**2 - 27*m - 8. Let o(j) = 9*h(j) + 4*x(j). Let i be o(9). Which is the biggest value? (a) -1\/4 (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 640 - 497. Calculate the smallest common multiple of h and 3.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 530, 940, 1448, 2054, 2758, 3560?\nAnswer: 4460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3)\/(1176\/56)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*b - 4*g + 198, 2*g + 247 = 3*b. Suppose -14*o + 589 = b. Suppose -10*q = -q - o. Solve q*p = 4*t, p + 10 = -5*t - 4*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**6 - 13*c**5*w + 2*c**2*w + 17*c**2 + 6*c*w wrt c?\nAnswer: -1080*c**3 - 780*c**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -307 + -0.07?\nAnswer: -307.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m**3 - 276*m**2 + 35*m + 106. Calculate h(25).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:26 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 346745.5 millimeters in meters?\nAnswer: 346.7455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(2)*6)\/((2*sqrt(6))\/sqrt(3)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orsosxoovxaxax. Give prob of sequence oaxv.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/3 + 20*b**3\/3 + 131*b**2\/3 + 304*b\/3 + 64 = 0.\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010 - -12?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3444248 is divided by 250?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 272*x**2 + 306*x**2 + 0*x + 16*x**2 + 0*x as u + j*x**2 + k*x and give j.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/12)\/((-1)\/2). Let 1\/5*n**p + 1\/5*n + 2\/5*n**2 + 0 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 105 = -3*b. Let s(y) = -y**2 - 20*y + 25. Let n be s(b). What is the second derivative of -2*w**4 - 5*w**4 + 8*w + 3*w**n - 2*w wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.11 (b) 0.2 (c) -84 (d) -1 (e) 1\/4 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15123, 30408, 45697, 60990?\nAnswer: 76287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 7*y + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17294, -17293, -17292, -17291?\nAnswer: -17290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((5 - 10) + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -265*q**4 + 263*q**4 - 178*q**3 + 175*q**3 + 11*q**2 as g*q**3 + a + m*q**2 + k*q**4 + d*q and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 99313 in descending order.\nAnswer: 99313, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23918 = -1843*k - 58935 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 11\/4 (b) -89 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 0*f**3 + 109 - 1\/2*f**2 - 119*f - 43\/4*f**4. What is the first derivative of r(a) wrt a?\nAnswer: -129*a**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -6*(sqrt(147) + sqrt(147) + -1 - sqrt(147)) - -5*(sqrt(147) + -2))**2 - (-6*((-1 + sqrt(432))**2 + sqrt(48) + -1) + 3).\nAnswer: -120*sqrt(3) + 2605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, p: 4, b: 2}. Give prob of picking 1 b and 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/37410 and -61\/6235.\nAnswer: 37410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6258? (a) -0.1 (b) -2 (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -4\/597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*a - 20*a**4 - 136*a)*(0 + 1 + 1) + (2*a**3 - 6*a**3 - 12*a**3)*(3*a - 2*a + 0*a) + 2*a**4 + 5*a**2 - 5*a**2.\nAnswer: -54*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*c - 45 = 4*l, -3*c = -2*l - 30. Let x = 9 + l. Let f = x - -3. Let a(m) = m**3 + 3*m**2 + m - 3. Determine a(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 89 - 69 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1922, 0.279 in decreasing order.\nAnswer: 1922, 4, 0.279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l + 74149 = -42059. What is l rounded to the nearest one hundred?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1131 + -675. Suppose -5*d + a = 2*v, -v + 215 = -0*d - 4*d. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 88668?\nAnswer: 88668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from gggggbgbg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 9:11 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2\/3, 0.5, 163, -4 in ascending order.\nAnswer: -4, 0.5, 2\/3, 1, 4, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -25*h**2 + 10*h + 11. What is n(-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -427, 5, 0.3 in descending order.\nAnswer: 5, 0.3, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 5.86\nAnswer: 5.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -2919 and 0.5.\nAnswer: -2918.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6135.3 - -6134.70678. Round q to 2 dps.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2806)\/(-1769))\/(12\/174).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 124 = -5*h, 4*b - 92 = 4*h + 36. Suppose b = -2*t - t. Let f be (13 - -2*1)\/(18\/t). Is f at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215 and 662071.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**7\/840 - c**6\/60 - c**5\/120 + c**4\/6 + 4*c**3\/3 - 4*c. Let u(m) be the second derivative of t(m). Calculate u(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c91 (base 16) to base 10\nAnswer: -3217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000308608 to six dps.\nAnswer: -0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 280492361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -4*y**9\/63 - y**8\/84 - 29*y**5\/20 + 153*y**2. Find the third derivative of p(j) wrt j.\nAnswer: -3840*j**3 - 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/5, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 3, 21643\/12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/9 - 3\/36)*-1. Are i and -1418 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 279 - 267. Which is the fourth smallest value? (a) -0.8 (b) -2\/3 (c) o (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c6df - -79?\nAnswer: 7c758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/((-28)\/(-12))*-21*5 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6963, 13921, 20879?\n\"Answer: 6958*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -605 + 607. Solve -7*d - 1 = -4*d - 5*u, -4 = o*d - 5*u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 600854966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**9\/216 + o**6\/90 + 3*o**3 + 3. Let u(x) be the third derivative of i(x). What is the third derivative of u(r) wrt r?\nAnswer: -840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 3 - 28 - 18*a**3 - a + 5*a**3 in the form h*a**3 + p*a + j*a**2 + x and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 2*j**2 - j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427181439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16623, 16688, 16747, 16800, 16847?\n\"Answer: -3*u**2 + 74*u + 16552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -263 - -248. Let y = h + 21. Solve -3*u + 4 = 4*j, -j + 2*u + y = -6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/30)\/(4\/(-10)). Suppose 0 = -4*d + 5*h + 21, x*h - 4*h - 10 = 0. List the prime factors of d - (-1 + -29 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 48*f**3 + 20*f - 20. Calculate o(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 944155573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 313, -4, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/213342 and 23\/2784916?\nAnswer: 258997188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -16*h**2 + 67*h - 12 = 0?\nAnswer: 3\/16, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**3 - b**2 + 5*b + 1. Let o(k) = k**3 - k. What is j(r) + 5*o(r)?\nAnswer: -2*r**3 - r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -594 + 613. Suppose -p*f = -5883 + 1456. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -60. Solve -n*q + 6 - 3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139792560833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14866 + -14774.83. Let z = s + -91. Let l = 2\/75 - -217\/300. What is the closest to -2\/7 in z, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -252, 2529 in descending order.\nAnswer: 2529, 1, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 2. Let j be (-3)\/((9\/(-2))\/(-3)). Let r = 0 - -1. Let d(c) = -c**2 + 1. Calculate j*d(i) + r*g(i).\nAnswer: 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 x, and 1 o when three letters picked without replacement from {w: 2, j: 10, x: 2, g: 2, n: 1, o: 1}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2122 - 849. Suppose 4*w = 523 + p. Let z = 809 - w. Round z to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 512, 538, 584, 650, 736?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q**2 + 5. Suppose 0 = 3*j - 28 + 91. Let h = j + 26. Suppose 0 = -h*d - 0*d. Determine f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b. Let x(i) = -241*i**2 + 2 + 23*i**2 + 242*i**2 + 158*i**2. What is t(x(w))?\nAnswer: -728*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/12 - -1\/4. Let m = 2.6 + 0.4. What is the second smallest value in l, m, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 11\/9, -2\/7, -4416?\nAnswer: -4416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/5, -28, -5 in decreasing order.\nAnswer: -14\/5, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7006 + -4621. Let c = y - 2520.9. What is c rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*h + 5, -h = 3*l - 0*l - 15. Differentiate -20*s**3 + 7*s**3 - 26 - 7*s**3 - l with respect to s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 + 0)\/((-6)\/33) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 180156*b - 180159.\nAnswer: 3*(b - 60053)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2 + 240 + -10 + 12 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1551.2 times -310\nAnswer: -480872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -52 and -1580013270?\nAnswer: 1580013218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-5*s**2 + 60*s**2 + 64*s**2)*((-2*s + 0*s + 0*s)*(s + 2 - 2) - 1 + 1 + s**2 + 5*s**2 - 9*s**2 + 0*s**2).\nAnswer: 1190*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -202703 + -1?\nAnswer: -202704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10221410 - 3?\nAnswer: -10221413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.5 - -1.5. Let o = 61 - 58.3. Let k = o - 0.7. What is the smallest value in k, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Let j(p) = -p**3 + 3*p**2 + 4*p + 3. Let f be j(4). Suppose -r + 4*x - 2*x = -35, k*r - f*x = 72. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/9513 and -39\/457681?\nAnswer: 4119129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20918 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 - 24\/(-10). Calculate the common denominator of -15\/4 and (-2)\/d - 108\/(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/90 + j**4\/9 - 7*j**3\/27 - 4664*j. Factor w(u).\nAnswer: 2*u*(u - 1)*(u + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106399, 212802, 319207, 425614, 532023, 638434, 744847?\nAnswer: 851262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10049\/23 + 437. Let b = 0.6 + 0.4. Let j = b + -1. Is j bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 23*f + 639. Determine v(-33).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.001505 - 0.0027673. Round b to four decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(49)*-1)\/sqrt(7)*1)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 1. Suppose 10 = 3*c - k*t, 0*c + 19 = 4*c - t. Calculate the greatest common divisor of c and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4796)\/109)\/((-8)\/(-20)*5).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28.3 in 2, 3, 0.07, 0, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25118, -201022, -678622, -1608812, -3142486, -5430538, -8623862?\n\"Answer: -25149*u**3 + 46*u**2 + u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 105674200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 12*n**2 - 7*n + 10. Let m(x) = -x**2 - 47*x - 463. Calculate the remainder when g(11) is divided by m(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/43? (a) -1\/2 (b) 3\/16 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*p = 169*p + 936. Suppose -100*m + p*m = 884. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35580\/17 - -106774\/51. Factor -4\/3 + z*r**4 + 2*r**3 - 2*r + 2\/3*r**2.\nAnswer: 2*(r - 1)*(r + 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*h - 245 + 255, 0 = -4*h - 5*y + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 0 = 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3. Let p = 5577\/65518 + 6\/1927. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29567016 is divided by 14783486.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*k + 8*k - 240. Calculate the remainder when (-2)\/(3\/(81\/(-2))) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197 + 181. What is the remainder when (12\/o*34 - 5)*-16 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -7 - 3\/4*j**4 + 0*j - 3*j**3 + 0*j**2. Let f(b) = 0. What is b?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhyhhkhhikhhkkhkk. What is prob of sequence hyi?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235226701 to the nearest integer?\nAnswer: 15337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -113*d + 4*u - 336, -d - 9 = 2*u - 0*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255971415, 255971413, 255971411, 255971409, 255971407?\nAnswer: 255971405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 149555360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (5 - -3 - 9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35659*k - 191 + 181 - 36248*k to q*k + z and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - -0.0354.\nAnswer: 0.0454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*s = -4097 + 3558 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, o: 7}. What is prob of picking 1 o and 3 s?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/12 - 19*m**3\/6 + 3*m**2 + 3*m. What is the smallest common multiple of s(-19) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -33. Let m(r) = 12*r**f - 1 + 25*r - 47*r + 24*r. List the prime factors of m(2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r - 175. Solve 15 - 11*f**2 + r*f + 10*f**2 + 11*f**2 = 0 for f.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18684 by 18.\nAnswer: -1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -53511 divided by 6775?\nAnswer: -53511\/6775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*d**4 - 12*d**5 - 430*d**2 - 583*d**2 + 9*d**5 - 1725*d**3 - 862*d**2.\nAnswer: -3*d**2*(d - 25)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 3871698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 0.12 (c) 5 (d) 0.5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 174 - 48. Suppose -64 = -a + p. Calculate the remainder when a is divided by -4*(-33)\/(-12)*-2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, c: 9}. Give prob of sequence eec.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqqccqbbcqcqc. What is prob of picking 2 c and 1 q?\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233881\/7 + 33411. Which is smaller: t or 2329?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6*s - 9 = -7*s, -s = 5*u - 13. Solve -5*v - 16 = u*p, 4*v - 8 = 3*p - 30 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + b - 103 = 0, 0 = -2627421*y + 2627418*y + 3*b - 99 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r + 3. Let n(i) = i**2 - 7*i + 7. Let h be n(6). Let m be 8 - (-2 - (h + -4)). Is 19 a factor of q(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/3)\/(6\/(-9)). Suppose -k*l = -1387 + 43. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -463 + 461. Suppose 2*f + 1 = 5. Let o(i) = 14*i - 5*i + 1 + f. What is o(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 698*c**2 - 2*c - 168. Determine m(0).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6741485 and 1425.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(12)\/sqrt(6))**2 + 5.\nAnswer: -60*sqrt(2) + 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3964306646.\nAnswer: 2, 41, 48345203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 6*x + 2. Let y(t) = -2*t**2 - 10*t + 8. Let v be y(-6). Let j be p(v). Solve 2*q = -0*q + j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-14)*2\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*k**3 - 3*k**3 + 5*k**3 - 2*k**3 + k**3 - 2*k**3 + (-2 + 0 + 0)*(-3*k**3 + 4*k**3 + 0*k**3) + 0*k**3 + k**3 - 2*k**3 - 3*k**2 + 3*k**2 + 5*k**3.\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*c + 87882388017*c**2 + 46*c - 87882388020*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 2*c**3\/3 - 11*c**2\/2 + 10*c + 37. List the prime factors of b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9482.26 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34082, 136433, 307018, 545837?\n\"Answer: 34117*d**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 456 by 3.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - i + 9. Let r(w) be the third derivative of -1\/60*w**5 + 0*w**4 + 0 - 1\/3*w**3 + 0*w + 2*w**2. Give 2*k(j) + 9*r(j).\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 7 = 51. Suppose b - 31 = -4*q. What is the second derivative of -6*m**2 - 25*m - q*m**2 + 3*m**2 + 2*m**2 wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 5:48 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 2*h**2 + 2*h + 1. Let q be x(-2). Solve z - q + 2 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207 - -205. Sort m, 3, -7, 4 in increasing order.\nAnswer: -7, m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028222 rounded to 6 decimal places?\nAnswer: 0.000282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/2238 and -31\/2082.\nAnswer: 776586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -2, 0, -13 in increasing order.\nAnswer: -13, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.62 - 223.2978\nAnswer: -226.9178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k**2 + 27 - 12 - 13 - k. Calculate w(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1552920 divided by 12\nAnswer: 129410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, e: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -41297 to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36053 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58, 56, 54?\n\"Answer: -2*x + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*m + 3*a**2*p**2*x + 3*a**2*p + 4*a**2*x + a*m*p*x - 8*a*p**2 - 2*a*p*x + m*p**2 - 12*x wrt a?\nAnswer: 4*m + 6*p**2*x + 6*p + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y + 12. Suppose -y*x = -x - 98. Factor -s**3 + 49*s + 3*s**3 - 4*s**2 - x*s.\nAnswer: 2*s**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 11103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1746*n**2. Let u(t) = -2*t. Give c(u(r)).\nAnswer: -6984*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358066.\nAnswer: 2, 179033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5464031 + -11?\nAnswer: 5464020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 10*r - 66. Let b = 79 + r. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/5)\/j**(-7)*(j**(-1\/2))**(-2)*((j**(1\/2)*j)\/j)**(2\/51)\/(j**(-2\/7)\/j)**(2\/59) assuming j is positive.\nAnswer: j**(891301\/105315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -61, -78, -89, -88, -69, -26?\n\"Answer: q**3 - 6*q**2 - 6*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d + 71. Let g be v(-7). What is the nearest to 0.1 in 1\/10, -3\/2, g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9695966 to the power of 1\/2, to the nearest integer?\nAnswer: 3114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2820652 and -0.12?\nAnswer: -338478.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155939 or 155952?\nAnswer: 155939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 divided by 399891?\nAnswer: -115\/399891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(78)\/sqrt(54) - (sqrt(13) + (sqrt(13) + sqrt(13)*1 + sqrt(13))*1))**2 + -4 + 1.\nAnswer: 1528\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12013806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 3:25 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102 - 105)\/((-810)\/(-702))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 27*d**2 + 1. Let f(g) be the third derivative of 2*g**5\/15 - 8*g**2 + 127. Give f(z(i)).\nAnswer: 5832*i**4 + 432*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 28 = 5*m - 2*d, -2*m + 11 = -d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 98*(-8 - (-135)\/18)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2 = -3*b + 2*o, 2*b - 2*o - 2 = 0. Let l(n) = -4*n**2 - n**2 - n + 7 + b*n**3 + n**3. Let k be l(5). Are k and 4\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3*(0 - 1))\/(750\/(-362250)). Sort -3, d, -2, 3 in descending order.\nAnswer: 3, -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2315 - 2316. Which is the closest to h? (a) 0.02 (b) 19 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -459 + 884. Suppose 5*n - 1 = c - 0, -4*c = n + 4. Suppose 4*y + 3*l - g = -n*y, y - 120 = 2*l. What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 419 + -420.5. Let h = p - -1.6. Which is smaller: h or -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 3*u + 1. Let s be x(2). Let n(f) = f**3 + 28*f**2 + 26*f - 23. Let i be n(-27). Suppose r - s*g = -4*g + 383, -i = -2*g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/4 - 8*v**3\/3 + v**2\/2 + 10*v + 2. Calculate the remainder when (2 - 0) + 35\/(7 - 0) is divided by q(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 249 - 309. Let t = -62 - x. Suppose -2*q = j, 4*q = -2 - 2. Sort j, 3, t, -3 in increasing order.\nAnswer: -3, t, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*t**3 - 781*t**3 + 391*t**3 - 6.\nAnswer: -6*t**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 + -314339?\nAnswer: -314305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 7*x - 1. Suppose 0 = 5*v - v + 24. Let p be q(v). Suppose p*f - 90 = -0*f. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-3)\/2) - -4. Let s be (-5)\/((0 + -2)\/m). Solve 0*k + 2*k = -5*j + 10, 5*k = s*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 47 = -67. Suppose -z*w + 24 = 5*u, u - 5 = -3*w + 2*w. Solve u*f = f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/15 - 1\/15. Which is the nearest to m? (a) 0.5 (b) -1\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*b**2*y**3 - b**2*y + 35*b**2 - 1048*b - 8*y**3 wrt b?\nAnswer: -52*y**3 - 2*y + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26119 plus -5?\nAnswer: 26114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*k + 3024. What is k rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4 + 2 - 5 + 0 + 5*b. List the prime factors of n(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*d + 27890209*a**3 - 2*a**2*d + 11686*a**2 + 102 wrt a.\nAnswer: 12*d + 167341254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24000, 45380, 66760?\n\"Answer: 21380*g + 2620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1247568*m**5 + 7767*m + 13 wrt m?\nAnswer: 24951360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8590)\/(-40) + 10\/8. Let n = -2 - -7. Suppose -c = -n*s - 3*a, -3*s + 183 = s - a. Calculate the greatest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35933669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552698 is divided by 30699?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -j - 9. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 10:34 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 8:20 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39036 - 39197. Which is the closest to -0.1? (a) -1\/6 (b) 2\/33 (c) 2\/11 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 74617 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 11 = -y, 2*s - 32*y + 16 = -28*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -508113 (base 9) to base 11\nAnswer: -196301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70 + 17 - s - 15904*s**2 + 67 + 15902*s**2 wrt s.\nAnswer: -4*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42376455536 minus 0.04?\nAnswer: -42376455536.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 22. Let t = w + 16. Let u = -4 - t. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 11*m = 13900. Suppose m = 16*o - 6*o. What are the prime factors of o?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -25. Calculate the remainder when 2\/6 - (-65)\/3 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 28 - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6316 smaller than 5435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 2*n - 6. Let w(q) = -4*q**2 + 2*q**3 + 4*q - 4*q + 3*q + 2. What is the remainder when w(n) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**10\/3360 + g**9\/1008 - g**8\/1120 - g**4\/2 - 2*g. Let j(l) be the third derivative of q(l). Factor j(a).\nAnswer: -3*a**3*(a - 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21\/14702 (b) -1\/5 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpppkpkprpppkgppkpg. What is prob of picking 1 k and 3 g?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20038674.\nAnswer: 2, 3, 571, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -251 and -247 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4)*0 + (-2)\/2. Let x(k) = k**3 + 4*k**2 + 2*k + 1. Let w be x(-3). Sort 2, w, p.\nAnswer: p, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -1\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 2. Let b be h(5). Calculate the greatest common factor of 27 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (8 - 19))*(-2)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/9)\/(8646\/3537)*924\/(-16)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27565303 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 4384266 and 1151478?\nAnswer: 5406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869882?\nAnswer: 2, 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 1. Let g be m(5). Suppose g*w + 0*w = 156. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4865.2 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 257*g - 20 = -260*g, -4*g + 20 = -14*j - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*k**3 + 148*k**2 + 288*k + 80 = 0. What is k?\nAnswer: -10, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-14)*-2)\/((-13)\/((-572)\/(-22)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 1787, 1, 2, -5, 0 in descending order.\nAnswer: 1787, 6, 2, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*16\/20 + (-174)\/42?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37 - 10.2.\nAnswer: -10.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101009?\nAnswer: 101009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/12 + 3*z**2 - 38*z. Let g(j) be the first derivative of s(j). Let n(m) = -3*m**2 - 8*m**2 - 5*m**2. Give n(g(t)).\nAnswer: -64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let d(l) = 4*l + 150. Let t be d(-37). Which is the second biggest value? (a) -2\/5 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199752*d + 199577*d + 7700 = 0 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-376*d**3 + 5 - 2 + 3*d + 381*d**3)*(4*d - 6*d + 4*d) in the form c*d**2 + w*d**3 + y*d + k*d**4 + l and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 9*s - 2. Let f = -26 + 18. Let d be w(f). Let i(r) = 8*r - 9. Does 13 divide i(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13.1 and 150134558760.\nAnswer: 150134558746.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 12*l**2 + 4 + 0 - 7 + 2 + 1.\nAnswer: 12*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.9 - -8. Let l = -0.15 - -2.25. Let t = l - 5.1. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2937, -2944, -2961, -2994, -3049, -3132, -3249, -3406?\nAnswer: -3609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 66 = 5*x, -24 = -3*x + 4*o + 11. Let d = 13 - x. Which is greater: d or -8\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i**2 + 7*i**3 - 4*i**2 - 6*i**3 - 2*i. Let f be r(7). Let m = -317 - f. What is m rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) - ((sqrt(72) - sqrt(8))\/sqrt(4) + sqrt(2) - sqrt(2)))**2 + sqrt(6)\/(sqrt(3) + sqrt(3)*1 - sqrt(3)).\nAnswer: 2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20212 + 10211001?\nAnswer: 10120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17488c (base 13) in base 8?\nAnswer: -2157544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*q - 14*q + 5*g - 5, -3*q + g = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.191 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - ((-3)\/(-3))\/1. Let p(w) = 11 + 8*w - 3*w - c*w. Give p(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6350920 divided by -1270184\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddxxxsybybxyd. Give prob of picking 1 y, 1 s, and 1 b.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4657 + 13*l + 4657)*(0 - 2 + 4) to the form k*l + m and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -11111202010?\nAnswer: 11111201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 12. What is the second smallest value in -0.4, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-338 - 1)\/(3 - 15\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*c + 2*g - 42, 3*c - 27 = 3*g. Factor -3*a + 7*a - c*a - 4 - a**2 + 0.\nAnswer: -(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(2 + -2 + 1). Suppose 0*g - g = 5*s - 68, m*g - 28 = -s. Let n = s + -12. Solve -2*b + n = -2*z + z, 4*b + 3*z = 27 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -619\/27 + 23. Let z = 1220 - 14717\/12. Calculate the common denominator of z and h.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4884 and 396?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 2*w - 4. Let f be m(3). Which is the smallest value? (a) -0.7 (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, -2\/13, 2, -2, 346?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*i, 5*i - 25 = 22*n - 17*n. Let f be 1\/(-2)*0\/n. Solve -u = -f - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0725974 years?\nAnswer: 0.000725974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (52\/(-12) - -1)*((-3345804)\/20)\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 7:30 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3561349.\nAnswer: 11, 323759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.3 - 0.3. Let c = -107 - -108. Let o = x + c. Put o, -1\/2, -1\/5 in increasing order.\nAnswer: -1\/2, -1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, t: 3}. What is prob of sequence tcc?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 582769?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from cnznlz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/3 of a week in hours?\nAnswer: 4088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n, -5*n + 8 = 4*p - 20. Suppose 3*k + p = 14. Suppose k*t = -2*i + i + 7, 5*i + 3*t = 18. Solve 4*j + 4*m - 6 = i*m, -3*j - 4*m + 11 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 33.7\nAnswer: -3.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3786 - 5?\nAnswer: 3781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - 3*h**2 + h**5 + (-6*h**2 + h**2 + 3*h**2)*(209*h**3 + 19693*h**2 - 19693*h**2) + 14*h**5 - 4*h**5 - 6*h**5.\nAnswer: -413*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/7 + 68480*w**2\/7 - 17871002*w\/7 - 17939480\/7 = 0. Calculate w.\nAnswer: -34499, -1, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 15 - (11 + (14 - 14) + -10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(448))**2*1*1 + -4.\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + ((sqrt(95)*2*-2 - sqrt(95) - sqrt(95)) + sqrt(95) - sqrt(95)) - (sqrt(95) + sqrt(95)*2 + sqrt(95))*-2)\/((sqrt(20)*-4 - sqrt(5))*-5))**2.\nAnswer: 19\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = -252 - 106 + 118 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17257*l**2 + 9029*l**2 + 8205*l**2.\nAnswer: -23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 6. Let k(l) = l**2 - 4*l + 3. Let c be k(6). Let f = 833 + -828. Suppose 4*v + c = -f*p - 4, -p - 29 = 5*v. Determine t(v).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 225 - 211 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4540 divide 2229380620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 6*b. Let r(x) = -1. Let v(f) = -q(f) - 3*r(f). Let i be v(5). Let j be i*((-6)\/4 + 0). Solve -u - 19 = -j*p - p, 5*p = 2*u + 26 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 + 7*x**2 - 7*x - 3. Let g(a) = a + 5. Let y be g(-9). Let i be o(y). Let k(l) = -9*l - i*l**2 + 10*l**2 + l. Determine k(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3 = -b + 4*i, -b = i - 11. Solve 96 = b*y + 9*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38446, 38448, 38450, 38452, 38454?\nAnswer: 38456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1303\/63 + 425\/18. Suppose -4*j - w + 37 = 0, 3*j + 4*w = 13 + 5. What is the common denominator of c and 314\/36 + j\/(-45)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 142 = 5*k. Let h = k + -18. Suppose -4*t = 2*b - 96, 0 = 5*b + t + 41 - 272. What is the remainder when b is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101011 (base 2) in base 4?\nAnswer: -12223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1079, -961, -761, -479, -115?\n\"Answer: 41*c**2 - 5*c - 1115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4392071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -334 - -266. Let m(j) = -6*j - 9. Let w be m(9). Let b = w - r. Solve 2*s - 7*s + 2*f = -b, -s + 3*f = -14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2936 and 22.\nAnswer: 32296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1118 and 827060?\nAnswer: 35563580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - y + 11 = -b, -5*b + 18 = 2*y. Let j(q) = -q - b*q - 11*q. Let n(a) = 3*a**2. Calculate n(j(l)).\nAnswer: 768*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 5*f = -45, 3*u + 1053 = -17795*f + 17678*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d - 28 - 17*d - 11*d**2 + 2*d - 4*d**2.\nAnswer: -15*d**2 + 4*d - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -11*n**6\/120 + 2*n**5\/15 + n**3\/3 - 23*n**2. Let w(q) = 4*q**3 - 3*q**2 - 1. What is 3*a(g) + 8*w(g)?\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 368.4935 and 5.\nAnswer: 373.4935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55974, 55981, 55992, 56007, 56026, 56049?\n\"Answer: 2*x**2 + x + 55971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1\/4))**47*(k*k\/(k\/k**(2\/7)))**(4\/11) assuming k is positive.\nAnswer: k**(25477\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 + 0*j**2 + 11*j**2 + 29 - 29.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004065 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**24*d)\/(d\/((d**(-27)*d)\/d)*d) assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 15 = -2*v - 17, 2*v = 4*c - 26. What is the highest common factor of c and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1 - 3) - (-53 + 41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 2*j - j - 2*j + (-j + 3*j + 0*j)*(4*j - j - 5*j) + 183*j**2 + 1629 - 1629.\nAnswer: 177*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -31 + 1. Suppose 0 = 3*v + 9, 43 - s = 3*t - 5*v. Suppose -7*k + 6*k = -t. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r + 18. List the prime factors of g(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2679\/4 less than -671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = 0, 4*x - 86 - 112 = 2*k. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 353b51 - -6b?\nAnswer: 354000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = w - 10, 67*w + 4*a + 64 = 71*w. What is the biggest value in w, -0.08, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/3787 and 3\/154.\nAnswer: 83314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 10 = 50 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y - 0. Let l be 0\/(2\/(y - 1)). Solve -s = -l*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*j - 23, 1 = 2*i + j - 2. Let x(c) = -24*c**2 - 3*c - 8. Let d be x(-3). Let m = d + 226. What is the remainder when m is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b - 8*b - 18*b - 12283 + 45*b.\nAnswer: 2*b - 12283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2, -0.5, -1, -69, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*3\/(-18)*93. Suppose -4*z + 9 = -u. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*a**4\/3 - 3568*a**3\/3 + 53105*a**2\/3 - 92450*a\/3 = 0. What is a?\nAnswer: 0, 2, 215\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - 21*g - 14. Let k be v(6). Solve 0*z + 20 = k*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -z - 15, b - 12*z - 1 = -9*z. Suppose 32 + 3 = 5*o + 4*v, 3*o + 3*v = 24. Suppose -4 + 34 = o*p. What is the highest common divisor of p and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 + 7*h + 3. Let w = -1 - 2. Let r be x(w). Which is smaller: -3\/17 or r?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 179466, 1, 2, 0 in ascending order.\nAnswer: -1\/2, 0, 1, 2, 179466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2397)\/94 - -26)\/(-19 - -2)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6479825*b**4 - b**3 - 6*b**2 + 54*b - 1755 wrt b?\nAnswer: -155515800*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -9\/2*b**2 - b**3 + 9\/20*b**5 - b + 1\/2*b**4 - 3. Let y(p) = -8*p**3 - 5*p**2 + 5*p + 8. Calculate -5*m(f) - 6*y(f).\nAnswer: 3*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 10 - 19. Suppose -4*k - 4 = -4*t, 4*t + t + 3*k = m. Solve -2*a + t*a = 2*x, -a + 5*x = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a0081 - 2?\nAnswer: 4a007a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 3*r**2 + 2*r - 6. Let f(k) = 4*k**3 - 12*k**2 + 9*k - 25. Let g(c) = 2*f(c) - 9*m(c). Calculate the least common multiple of 18 and g(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3985 by 23.\nAnswer: -3985\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**3 - m + 1. Let f(b) = -66*b**3 - 61*b - 6. Determine -f(j) - 6*o(j).\nAnswer: 48*j**3 + 67*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90796 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -2*h + 464. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1645 - 1762. Is -1\/26 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let y = 3 + -5. Which is the closest to y? (a) -0.5 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -71, -120, -185, -272, -387, -536, -725?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 - 3.23. Let o = -0.37 + l. What is the third biggest value in 2, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + ((2 + (sqrt(475) - (sqrt(475) + 0)) + 5 + sqrt(475) + -1 + 4)*1)**2.\nAnswer: 100*sqrt(19) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122554827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 3. Let h be t(-5). Solve 0*a - h = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490 = -11627*v + 11529*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k, -5*m = -3*k - 105. Let d be m\/9*(3 + -2). Are d and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**23\/(l*l**(2\/37)))**(1\/25))**(1\/4) assuming l is positive.\nAnswer: l**(203\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 461033, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1)*k)**22*(k**(-1))**(1\/6) assuming k is positive.\nAnswer: k**(395\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3)*m)**(6\/5)\/((m**(-1)\/m*m*m)\/m**(-4\/3)))**(-27) assuming m is positive.\nAnswer: m**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 2. Let h(q) = -1. Let d(p) = 2*a(p) - 3*h(p). Let g be d(-8). Solve 2*i + i = g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(4) + -4 + 1*sqrt(135)\/sqrt(5))**2 - ((-1 + sqrt(27))*-4 - (sqrt(81)*2)\/sqrt(3))) + 0.\nAnswer: -30*sqrt(3) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9694563 grams in micrograms?\nAnswer: 969456.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14136.\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 11 - p**3 + 18 - 2 + 208*p**4 to g + d*p**2 + n*p**3 + r*p + q*p**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a meter in centimeters?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 3*x + 750. Suppose -24*n = -9*n - x. Suppose t + t - 4*j = 10, 5*j - n = -t. Calculate the remainder when t is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 25 + 21 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 46. Find the third derivative of 3*w**i - 145*w**3 + 1011*w + 1049*w - 2108*w wrt w.\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 28*g + 17 = -26*g, -g + 7 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/110 and (7 + 537\/(-90))\/(2\/9)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -507*y**4 - 1251 wrt y?\nAnswer: -2028*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29610 is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180693 and 18921.\nAnswer: 67037103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5\/11 - 122*b**4\/11 - 373112*b**3\/11 + 5112758*b**2\/11 - 15099595*b\/11 - 5615100\/11 = 0 for b.\nAnswer: -340, -1\/3, 5, 9, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93? (a) 2 (b) 7 (c) -2\/5 (d) -31 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 394 (base 14) to base 13\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(-1 + sqrt(1053) + 0)**2 + ((sqrt(1053)*-1)**2 + sqrt(1053) + -5)*-4).\nAnswer: -108*sqrt(13) + 18924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12))\/(5\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 - 9*x - 12. List the prime factors of v(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h. Let d(a) = -25*a + 1 + 15*a - 3 - 45*a. Give n(d(r)).\nAnswer: -55*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/9, 0.4, 0.2, 0.19 in ascending order.\nAnswer: -2\/9, 0.19, 0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1220 + -452. Let s = 782 - g. Calculate the least common multiple of s and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b - 25, 4*y - 3*b - 1 = 0. Solve 3*j = -j + y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103100310 - -11100?\nAnswer: -103034210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.998026 rounded to one decimal place?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/43180 and 131\/420.\nAnswer: 906780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.29663mg to kilograms.\nAnswer: 0.00003129663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2405 + 2410. Let k = -16.14 + 0.14. Which is the biggest value? (a) k (b) 5\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -221 - 4*q**5 + q**5 - 4*q + 221 wrt q.\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(32\/(-8))\/(-60)*(-57)\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/11, -20, -0.1 in decreasing order.\nAnswer: -0.1, -2\/11, -0.4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = -2*g, 17*l - 21*l + 3*g + 5 = 0. Is 14 a factor of 278 - (16\/(-7) - l\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164190.\nAnswer: 2, 3, 5, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 67. Solve 8*y - q*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 23289280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u + 7*u - 14*u)*(20 - 41 + 21 + 14*u).\nAnswer: -224*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7946 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**3 + 4*r**2 - r + 10. Give z(-3).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3161?\nAnswer: 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((2 - 4) + 1). Solve -9 = -t*g - 0*g + 2*r, 0 = -3*r - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124*q**3 + 98 wrt q?\nAnswer: -372*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 667 + -655 + (32 - (6 + 0)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (402\/18 - -21)*(18\/(-3) + 414\/115)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 427310 and 112450?\nAnswer: 2136550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:17 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 8*f - 7*f. Suppose -z + f*q + 141 = 5*q, -z + 156 = 4*q. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1120366*d + 560066*d + 560301*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 132*y + 31. Let t(i) = 65*i + 13. What is -4*a(d) + 10*t(d)?\nAnswer: 122*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23716, -94907, -213558, -379669, -593240, -854271, -1162762?\n\"Answer: -23730*i**2 - i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**2 - h + 3. Let v be b(12). Suppose -5*s + 95 = 5*q, 0*q + 3*s = -q + v. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqwc when four letters picked without replacement from qqqqqqwcwq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - 47*d + 95. Calculate t(-25).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2963 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 659453578 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 8. Let z = 7 - 5. Solve 0 = -3*y - z*y + h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42664610 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19553 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 0*k = 138. Calculate the highest common factor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 39 + (11 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 3:26 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -127, -112, -91, -64?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 - 10558*r**3 - 4 + r**2 - 414*r**3 + 5.\nAnswer: -10972*r**3 - 3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1273 + -1277. What is the third biggest value in n, 0.2, 28?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**3 + 4*o + o**2 - 5*o + o wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.557 rounded to zero decimal places?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltp when three letters picked without replacement from ttpttvvltlvlt?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2294155533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -34, -27, 8, 83, 210?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45548169?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 6408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00145335724 rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 206156271 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 890 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcxxdv. What is prob of sequence vxd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3147 (base 8) to base 16.\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.568263 milligrams to kilograms.\nAnswer: 0.000007568263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 0.5 (b) -1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**2 + 658*v + 348. Calculate m(-131).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*w + 23, 0 = -3*w + 11430 - 11445 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 9*y - 274. Calculate the greatest common divisor of 36 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(16))\/(sqrt(200)*-2) + (sqrt(800) - ((-3 + sqrt(50))**2 + sqrt(50))).\nAnswer: -59 + 451*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 443037 and 463267?\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 68. Let v be (-72)\/(-5) - y\/(-90). Suppose 0 = -3*f + 5 - v, -3*f = 2*w - 83. What is the remainder when 89 is divided by w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6681, -6446, -6067, -5538, -4853, -4006, -2991, -1802?\n\"Answer: c**3 + 66*c**2 + 30*c - 6778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40, 81, 140, 223, 336, 485?\n\"Answer: a**3 + 3*a**2 + 25*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 4*z, -4*x - 3*z - 1 = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + (-4*(sqrt(832) + 0) - sqrt(832)) - ((sqrt(832) + 3)**2*-1 - sqrt(832)).\nAnswer: 24*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 - 79*u**2\/4 + 61*u - 41.\nAnswer: -(u - 2)*(u - 1)*(u + 82)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -59043, -58990, -58901, -58776, -58615, -58418?\n\"Answer: 18*c**2 - c - 59060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**4 + 7*g**2 + g + 3 wrt g.\nAnswer: 24*g**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 + 26*j**2 + 31*j + 4. What is y(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwyhihihuw. What is prob of sequence whh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:59 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4b (base 16) to base 12\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 2*b - 44. Give a(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 620*j**2\/7 + 626*j\/7 + 6\/7.\nAnswer: 2*(j + 1)*(310*j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50768 - -3?\nAnswer: 50772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/26*(-708)\/(-354).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269505 is divided by 414.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*v**3 + 18*v**3 - 349*v**3)*(23 - 23 + 3*v).\nAnswer: -1077*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 0.3, -0.4, 2\/3, -297\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {x: 1, p: 1, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**8*b**(-6\/11))**(-47)\/((b**(-2\/3))**(-2\/45)*(b*b*(b*b**(2\/9))\/b)\/(b*b\/b**(5\/2))) assuming b is positive.\nAnswer: b**(1045097\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -382 divided by -63\nAnswer: 382\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64516631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f**3 - 10*f**2 + 5*f - 63. Is a(-16) a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*o = -13*r + 184*o + 45, -2*r + 2*o + 10 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + 2100?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from {w: 1, o: 1, h: 1, a: 2, f: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243 + 506. Suppose -j*x + 250*x = -4927. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 55 = -8*j. Put j, 5, -5, 6 in descending order.\nAnswer: 6, 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 30 = 4*j, -3*j + 7*j - m - 26 = 0. Let q = -9 - -18. Suppose q = -3*r + 6*r. Solve 0 = 5*w + n - 1, 3 - j = -w - r*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -18\/19, 11, 0 in ascending order.\nAnswer: -4, -18\/19, 0, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 754 + -742. Solve z - 4*x + 12 = 0, 0*z + n = -2*z + 4*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 15*p**2 - 19*p - 18. Is 30 a factor of v(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*g + 7732861 - 7719990 = 0 for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 2, p: 2, k: 1, w: 1}. What is prob of picking 1 p and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**4 + 182 - 2*t**4 + 8*t + 4*t**4 + 2*t**2 - 188 as z*t**4 + o*t**3 + w + f*t + y*t**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(63\/(-24)))\/(2295\/(-1785)). What is the nearest to i in -0.3, -265, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127 + 130. Let u(p) be the first derivative of -1\/16*p**4 + 0*p - 1\/4*p**w - 1 - 1\/4*p**2. Factor u(f).\nAnswer: -f*(f + 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**2 - 6*t - 4. Let l(n) = n**2 - n - 1. Let s(f) = 8*l(f) - p(f). Factor s(w).\nAnswer: 2*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - ba615?\nAnswer: -ba618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 17 - 13 = 0. Is (74\/(-4))\/((-3)\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = -2*k + 5, -5*z - 5*k + 25 = 0. Suppose -3*d + z*d - 4 = 0. Factor -12 + 14 - d + c**2 - c.\nAnswer: c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - (22 - 6) - (-14 - -1)) + 8?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 212758.5ug?\nAnswer: 0.0000002127585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 786 - 444. What is the highest common divisor of i and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n + 25 = 0. Let i = 19 + n. Suppose -2*z + 4 = -3*t - 10, 0 = -4*z + 2*t + i. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29626560*d**3 - 40380707*d**2 wrt d.\nAnswer: 177759360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21866 (b) -14\/3 (c) 1 (d) 3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.908 - -0.092. What is the third biggest value in l, 0, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60167 is divided by 3538.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.009 + -0.155. What is w rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 967 * -117.\nAnswer: -113139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:23 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28313.39389 + -187746.1555. Let h = o + 216061. Let r = 1.45 - h. What is r rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - 54\/(-12) - 79\/(-2) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -2\/7, -12, -99?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52*h + 15*h - 24*h)*(1 - 1 + 2*h)*(-6 - 19 - 16) in the form g*h**2 + p + f*h and give g.\nAnswer: 5002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-33)*(1 - 73)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(28)\/sqrt(4) + sqrt(7)*1*6)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508564027.\nAnswer: 17, 29915531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13355695*q**3 + 5407707*q**2.\nAnswer: 80134170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 2*i)*(631*i**4 + 774*i**4 + 559*i**4).\nAnswer: 1964*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142708?\nAnswer: 2, 35677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94 (base 13) to base 15.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 9 (c) -2\/7 (d) -19 (e) 211 (f) -5\/2 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39468 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 107.61 and -0.6.\nAnswer: 107.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17410, 17370, 17330, 17290, 17250?\nAnswer: 17210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n + 10*n - 13*n + 45*n - n.\nAnswer: 54*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-21)*3*1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1299837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 50*b + 1. Calculate o(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 40611*n + 40612.\nAnswer: -(n - 40612)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -95 - 173. Let p be (-4)\/(-24) + i\/(-12). Let m = 18 - 30. Is m at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 84*g**3 + 6*g**2 - 8*g - 3. Let a be m(-6). Let f = a + 393353\/22. Calculate the common denominator of f and (6 - -1)*(-5)\/(-8).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21102 (base 3) in base 12?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/112035 and 64\/176055.\nAnswer: 1232385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 42*z**3 + 250*z**2 + 160*z - 266. Let c(i) = -10*i**3 - 63*i**2 - 40*i + 67. Let n(l) = 25*c(l) + 6*s(l). What is n(38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -22. Let t be (-1)\/(-5) - 12\/h. Let a be 13\/((-2)\/2*t). What is the greatest common divisor of 39 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1))**(-2\/37)*(z**(-2\/5)*z*z)**(-2\/13) assuming z is positive.\nAnswer: z**(-16\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -4322 in decreasing order.\nAnswer: -1, -12, -4322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllttllltlllttlt. Give prob of sequence tlll.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, -7, -84, -163, -244?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 637\/916?\nAnswer: 637\/916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*r + 100 = 4*x, -2*r + 128 = 3*x. Solve h + 36 = x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 + -5 - 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5032 = 115*t + 21*t. Solve 23 + t = 15*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 19 - 36 + r - 18 - 22.\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 6. Let b = x - 6. Let m(z) = -5*z - 1. Calculate m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -1)\/(1*6\/(-3)). Which is the closest to k? (a) 3\/7 (b) 2\/21 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 + -71612.\nAnswer: -71612.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/5, 1\/3, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 774.93 + -770. Let b = y - 2.93. Suppose -1 = -4*o - 93. Which is bigger: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.22 + -58.78. Put 1\/7, 0.2, u, 4, -2 in increasing order.\nAnswer: u, -2, 1\/7, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.303 + -0.003. Which is the closest to 1\/5? (a) -0.5 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.4 + 11. Which is the nearest to 2\/5? (a) -0.5 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.508069815 rounded to one decimal place?\nAnswer: 19.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-2))\/((-3)\/18). Let j = f + -2. Let d(w) = 14*w + 11. Let g be d(-1). Sort j, g, 2.\nAnswer: g, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {e: 2, h: 2, w: 1, r: 1, p: 6, b: 5}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((980\/(-21))\/(-14))\/((-2)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 121 + 137 = 0. Let b(f) be the first derivative of -f**4\/2 - 2*f**3\/3 - 2*f**2 - 3*f + 48. What is b(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-1\/6))\/u))\/(u**(-1\/4)\/u)*(u**(-2\/3))**(-28) assuming u is positive.\nAnswer: u**(253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29829 is divided by 2288.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8.91+-57\nAnswer: -65.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.6402 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121905 and 324.\nAnswer: 487620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 380 and 18?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1299*q. Let b(y) = -1848*y**2 + y + 1. Calculate b(j(o)).\nAnswer: -3118317048*o**2 + 1299*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23000 + 30110?\nAnswer: 113110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4 + 4 + -1). Put 1, j, 2 in descending order.\nAnswer: 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -22932*k - 3990167. Give i(-174).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 1912*l - 1909*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -18*r - 26. Find the common denominator of c(-2) and 25\/(-40) + (-2)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a centimeter?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1242, -1250, -1274, -1320, -1394, -1502, -1650, -1844?\nAnswer: -2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w + 12. Let y(o) = -o**3 - 7*o. Let l be (-2 - -3)\/(1 + (3 - 3)). Let s(v) = -v**3 - v. Let r(t) = l*y(t) + w*s(t). Solve r(a) = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*d - 3)*(-60*d + 60*d - 24*d**2).\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(0 - (-2)\/(-14)). Let x(o) = -o**2 - 6*o - 7. Let t(p) = -p - 1. Let n = 170 + -173. Let z(f) = n*t(f) - x(f). What is z(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h - 2. Let s be o(2). Suppose 0 = -6*w + w - r + s, 3*w = 3*r + 6. Suppose -w*b + 17 = 2. Solve -b*m + 2*a + 8 = -7, 4*m = 5*a + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2)*(-5)\/10. Suppose 3*h = -h + 12. Let s(l) = u - h*l + 2*l + 0. Let p(w) = w. Give s(p(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -35. Suppose -x*m = -d + m + 133, -m = d - 133. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**2\/2 + 122. Let q(b) = 391*b**2. Give p(q(n)).\nAnswer: 391*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 5*j**2 - 6*j + 4. Let f(i) = -i + 7. Let v be f(13). Let p be h(v). Suppose -p*k = -878 + 230. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651259 at most 651257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 6*s**2 + 5. Let i be p(4). Let q = 2 - 0. Suppose 3*a - 88 = u, -23 - i = -2*a + q*u. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33648 - 33121. What is the nearest to -1 in 2\/5, -3, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 5*y**2 + 6*y - 5. Let q be j(4). Let v(m) = 42 + m**3 + 35 - 79 - m + 403*m**2 - 406*m**2 + 0*m**3. Calculate v(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.2 - 6. What is the nearest to -0.1 in -4, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**(-9)\/b*b)))\/b**10)**(-1) assuming b is positive.\nAnswer: b**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhff when four letters picked without replacement from {o: 2, f: 2, l: 1, m: 3, h: 2, a: 10}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by 1394\nAnswer: 141\/1394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(-4\/9)*(w**5)**31 assuming w is positive.\nAnswer: w**(1403\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:34 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -69?\nAnswer: -10.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 516096.\nAnswer: 2580480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + 4. Let w = -74 + 83. Calculate the remainder when o is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b + b + 9*b + 2*b + 3*b - 4*b - 6 + 6 - b + (-3 + 1 + 3)*(2 - b - 2) - 3*b + 3*b - 2*b + (-b - 2 + 2)*(0 + 3 - 2) in the form t*b + x and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(5\/3))**(12\/13)*z**(1\/9)\/(z**19\/z) assuming z is positive.\nAnswer: z**(-1805\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 7*f**2 - 7*f - 3. Let r be b(-6). Suppose 3*g - 3*n + 4 = -11, r*g + 19 = 5*n. What is the units digit of 1\/(g\/(-42)*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24978*w + 1 - 3 + 12459*w + 13307*w.\nAnswer: 788*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/798*(-3)\/8. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450523.3685 rounded to the nearest ten thousand?\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*r - 3*v - 0, -5*v = -r + 2. Find the third derivative of 242*n**3 - 2*n**2 + 0*n**r - 2*n**4 - 240*n**3 + 7*n**2 wrt n.\nAnswer: -48*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.6 - -38. Let b = g - 1.4. Which is greater: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose -173 = -d*x + 101. What is the remainder when x is divided by (2 - 9) + 260\/(6 + 4) + 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Let n(b) = 3*b**3 - s + 9*b**2 - 2*b**3 - 10 + 0 - 12*b. What is the units digit of n(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**2 + b**3 + b**2 + 4 + 0*b**2 - b. Let k be q(5). Put k, -4, -2 in increasing order.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 11*a**2 + a - 9. Let r be w(11). Suppose r*l = 3*l - 20. Solve 0 = 3*q + q - l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -989300 divided by -25?\nAnswer: 39572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-20) - 5274\/(-5). Let n = -654 + u. Let a be (-282500)\/(-5 + 0)*n. Round a to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**5\/30 + q**2. Suppose -14 - 10 = -6*l. Let w(x) = l*x**2 - 12*x**2 - 3*x**2. Determine w(z(u)).\nAnswer: -44*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g + 171. Let f(m) = 59*m + 854. Let a(j) = -2*f(j) + 11*r(j). What is the units digit of a(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r**4\/5 + 120777*r**3\/5 + 231552513*r**2\/5 + 29601230895*r + 42268573278\/5 = 0 for r.\nAnswer: -1917, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = -2*h, h - 5*h + 4*l = -4. Let g be (-28)\/h + (18 - 16). What is the greatest common factor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*w**2 - 12 - 17 + 29 as s + v*w + q*w**2 and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**5\/60 + g**4\/4 + g**3\/2 + g**2. Determine z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 4 - 7*p + 2 + 3 + 6*p. Let o(f) = 14*f**2 + 14*f - 10. Give -12*c(i) - o(i).\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**4 + 2 + 2 - 8 + 2*o**2 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.604 + 59.735. Round s to 1 dp.\nAnswer: 36.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 39*j**2 + 83*j + 39. Calculate w(-41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.83 + -0.17. Which is the closest to q? (a) -0.2 (b) 2\/15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -28*o**5\/5 - 2179938*o**4\/5 + 6695726*o**3\/5 - 4827192*o**2\/5 + 311432*o\/5 = 0.\nAnswer: -77858, 0, 1\/14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102 + 33 + 23)*(-4*u + 15*u - u).\nAnswer: -460*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -70b4677?\nAnswer: -70b4674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -404.4, -5 in increasing order.\nAnswer: -404.4, -5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 3.5 (c) -2\/3 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 32\/(-14) - 94\/(-329)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61257 is divided by 1303?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2.7. Sort d, 0.03, -0.1 in ascending order.\nAnswer: -0.1, 0.03, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 6*r**2 + 0*r**2 - 272 + 5*r**2 + 2523.\nAnswer: 2*r**2 + 2251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*r + 5*n + 41, 3*r - 14 = -2*n. Let d be (-4)\/(-1) - (-9 + r). Suppose j - 20 = 4*p + 3, p + 20 = 5*j. Put 1, p, d in increasing order.\nAnswer: p, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 4*m + i + 27, -245*i = m - 291*i - 97 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 1179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzpeqmp. Give prob of sequence mpp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -53413 and -53408 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 71 - 335 + 90 + 28*a**2 + 88.\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 6*k - 50. Let a = 22 + k. Is ((-10228)\/a)\/(2\/3 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*x - 29 + 74 = 0, -2*x = 338*r - 30 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2547861037 rounded to the nearest one million?\nAnswer: -2548000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 11*j + 10. Determine h(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4209787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(325) - (sqrt(325) - 2*sqrt(325))*4)*-1 + 1 + ((sqrt(325)*-2 - sqrt(325)) + -4 - sqrt(325))) + -5.\nAnswer: -45*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25053892 and 0.1?\nAnswer: 2505389.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x - 76. Let m be u(8). Let r(v) = -9*v - 30. What is the least common multiple of 262 and r(m)?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25 - (-2)\/(-3 - -2). Calculate the highest common factor of g and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 6088 + 7032. Suppose l = 5*a + 5455, -4*l + 2*l + t = -3*a. Let v be (-525)\/a + (-3)\/6. Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 33224*s - 265672. Determine y(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -3 + 4 - sqrt(26)\/sqrt(32).\nAnswer: 1 + 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5666310233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(3) + sqrt(30))*4)\/(1*sqrt(1210)).\nAnswer: 8*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11691969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = -3*t, -4*t + 0*n - 2*n = -6. Let c(b) = -t - 27*b + 44*b + 1. Let z(h) be the third derivative of -h**4\/12 + 30*h**2 - 3*h. What is c(z(u))?\nAnswer: -34*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8318, 10411, 12490, 14549, 16582?\nAnswer: 18583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 865040 and 1232.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c = u - 305654 + 305548, -3*c - 19 = 2*u for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 90447.2924 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 255, 264, 293, 342?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 8*w**2 + 2*w - 8. What is a(-6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 5:46 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -97.0646 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 divided by -300?\nAnswer: -151\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 1508*o - 1505*o + 10, 0 = 2*z + 10*o + 20 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 22 = -20*p + 50 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let j be g(-3). Suppose 0 = j*b + 12, -7 = 3*l - 5*b - 33. Is l\/(-2)*-11 - 0 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnmrqrrrr. What is prob of sequence rrq?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.06262ml in litres?\nAnswer: 0.00106262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 y when three letters picked without replacement from {c: 2, n: 1, m: 3, j: 4, y: 3, b: 3}.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d - 3. Let u be h(-3). Let n be (-2)\/(-3)*u\/(-12). Which is smaller: n or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -m - 2*z + 4, 2*m + 3*z = 9. Suppose -5*o + m*o = -38. What is the greatest common factor of 133 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-64) + 799\/(-272)*-19.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*g = 5 - 1, i - 5*g = -2. Let k(b) = 8*b + 3. Give k(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bddbbbbbb?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-11)*3*96\/(-144)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/3)\/w)**(-4)\/(w**(-1\/2)*w)**(1\/30))**(-30))**(-8\/13) assuming w is positive.\nAnswer: w**(316\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 22. Let a be u(-12). Let r = -7 - a. Let w = 104 + -104. Solve -r*t = -w*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = p - m, -4*p - 2*m + 13 = 5. Let u be (p - -3) + 7 - (-4 - -9). Solve -f - 2*v - 15 = -5, 0 = -4*f - u*v - 31 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 - 8429*w**4 + 125*w**3 - 18303094*w**2?\nAnswer: 60*w**2 - 202296*w + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4 + (1*sqrt(425) + sqrt(425) - sqrt(425) - sqrt(425)) - (4 + (sqrt(425)*-1 - sqrt(425))))**2 - (-3 + 1*sqrt(425) - (4 + sqrt(425) + -1))**2)*2.\nAnswer: -320*sqrt(17) + 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 - 18*t + 18*t)*(18 - 101 + 139 + 1196).\nAnswer: -6260*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1349*t + 13. What is d(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -4 (c) -0.3 (d) -3\/133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 11:52 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) 5 (b) -2.31 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-567)\/(-35) + (-3)\/15. Calculate the greatest common divisor of 80 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:56 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-25)*(-2)\/(-6)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 12*h + 2. Let p = 19 + -8. Let c(d) = 59*d + 10. Let s(m) = p*z(m) - 2*c(m). What are the prime factors of s(2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/3)*r)**(3\/23)\/(r**(2\/3))**(14\/5) assuming r is positive.\nAnswer: r**(-674\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*v + 2*v + 34, -3*v = 12. Let w = -5 - j. Suppose 3*k - 4*k = -w. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 534 - 521. Suppose -t*n = -2*n - 59191. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from ajx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 3)*(1 + p - 1) - 3*p + 5*p + 0*p + (-1 - 3*p + 1)*(0 - 3 + 2).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/39722 and 105\/1102.\nAnswer: 21886822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 5*n**8\/784 - 2*n**7\/35 + 6*n**6\/35 - 13*n**5\/70 - 5*n**4\/56 + 3*n**3\/7 - 87*n**2. Suppose a(f) = 0. What is f?\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*f - 126. Calculate the highest common factor of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7436 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1377 and 29376.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11747 less than -11701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9622 - 1694 = 4*g. Let o(w) = -g*w + 7*w**2 + 3 - 5 + 0*w**3 - w**3 + 1984*w. Calculate o(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n**2 + 3 + 1\/3*n**3 + 2*n. Calculate s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -534, -1126, -1774, -2478, -3238, -4054?\n\"Answer: -28*a**2 - 508*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -15*d - 7. Let k(z) = 6*z + 17. Let n be k(-5). Let o(s) = -7*s - 3. Let c(l) = n*o(l) + 6*q(l). Give c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*k - 1036*k + 829*k = 1860 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1000970 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from hanjr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 411.8629 millennia?\nAnswer: 411862.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149 by -1.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 9 + 4)*(-1 - s + 3 + 3*s) as z*s + a and give z.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6554 and 32092?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 18*g - 4. Is 13 a factor of (46\/138)\/(g\/2274)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 + -2 + 0 + 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -0.4, -3\/13, 2\/5?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 78*p**2 - 358*p - 1. Is m(-52) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 18370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 5*w = 4*g + 16, -w - 12 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -8*t**2. Let m(h) = -4*h - h + 4*h + 0*h. Determine y(m(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9222610 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/624 and 31\/13728?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v**2 + 3 - 28*v**3 + 9*v**2 + 21*v**3 + (-v + 2*v**3 + v)*(2 + 2 - 2).\nAnswer: -3*v**3 + 2*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t**3 + 86 - 58 - 30.\nAnswer: -46*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -96517, -193059, -289629, -386239, -482901?\n\"Answer: -2*r**3 - 2*r**2 - 96522*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let k(p) = 4 - w - 3*p + 4*p. What is the units digit of k(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 0*j = 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39780.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 38. Give y(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001121 - 1202?\nAnswer: 222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 21 = 3. Sort -1\/7, i, 2 in decreasing order.\nAnswer: 2, -1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -13*u**2 + 51*u + 82. Let s(f) = -3*f**2 + 2*f - 2. Let v(x) = -n(x) + 4*s(x). Factor v(r).\nAnswer: (r - 45)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.26, 11\/2, -1.4?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (282 - -6)*(0 - 14). Let u = 37372 + h. Suppose 0 = -l + 12660 + u. Round l to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -48997?\nAnswer: -48993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5623842, -11247686, -16871528, -22495368?\nAnswer: -28119206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + u = y + 4, -3*u + 10 = -5*y. Let q(f) = f**2 - 5*f - 1. Let n be 6*((-28)\/12 - -3). Let h be q(n). Sort h, y, -15 in increasing order.\nAnswer: -15, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.388568 rounded to two decimal places?\nAnswer: -78.39","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175697 or -175698?\nAnswer: -175698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 3:02 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + 13. What is the smallest common multiple of z and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/168 and -95\/12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 314262 - -23?\nAnswer: 314315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1260 + -779. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 811 divide 37680180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1501 to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -30) + -4 - -26 - 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4*x + 23 + 313, 4*s = x - 348. Suppose -12*l - 226 = -1294. Let v = s + l. Solve a + v = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15131877443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27003.9 and -3.\nAnswer: 81011.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1127, -1706, -2675, -4034, -5783, -7922, -10451?\n\"Answer: -195*k**2 + 6*k - 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.156238*-2.\nAnswer: -0.312476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 28889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 12*r + 18*r = -49*r - 1827 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501447 - 501898 = 11*h for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4 + -3 + 1 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1007 + 993 - p**3 - 2000.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7876 and 5016877.643.\nAnswer: 5016878.4306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11835199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k + 14. Let n be z(22). Suppose 5*c - 78 - n = 0. What is the remainder when 143 is divided by c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 35. Is -2 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -1631045?\nAnswer: 1631060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -314 greater than -315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-6)\/4*-2. Suppose 0*t - t = -x. Suppose 120 = t*w - w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z + 7 + 0*z**2 - 6*z**2 - z**3 - 2*z. Let b be (-1)\/((-88)\/(-28) + -3). Let w(f) = -2*f**3 - 14*f**2 + 18*f + 119. Let x be w(b). Determine q(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(70\/7)*12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2857\/4317 + 7\/1439. What is the common denominator of -37\/9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.66 to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from spdwxdx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3167 divide 705819334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1110 + 1090 + (9 - 0) + (3 - (-69 + -3))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5329786.373 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.893 at most as big as -17.173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -0.5, 0.11, -1\/28, 225, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44983, 180068, 405245, 720508, 1125851, 1621268?\n\"Answer: -d**3 + 45052*d**2 - 64*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + ((-7 - -47) + -73 - -9).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 - 9*f + 5. Let p be w(-5). Let v be (-13)\/(-5) + 2 + 65\/p. What is the second derivative of -2*l + 8*l + 35*l**2 - 18*l**v wrt l?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 bigger than 3222\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -121201212 (base 3) in base 7?\nAnswer: -50366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 19. Let d be (-87)\/(-4) + 2\/8. Let c be (-1)\/3 + d\/30. What is the second smallest value in -3, t, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 4*p + 2. Let g(i) = -5*i**2 + 19*i - 10. Let l(h) = -2*g(h) - 11*t(h). Let q(f) = f**2 - 7*f + 2. Give 5*l(m) + 4*q(m).\nAnswer: -m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133227.\nAnswer: 3, 113, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/49 (b) 792\/17 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 279.1 + -294.1. What is the third biggest value in 3\/5, -0.4, 1, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 + -133. What is the derivative of o - 78 - 6*l**3 + 0*l**3 wrt l?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4847*c - 654*c - 100*c - 4894*c to the form u + w*c and give w.\nAnswer: -10495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fppcccpospc. What is prob of sequence ocp?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1) + (-1)\/1. Suppose -4*w = -3*t - 10 + 13, -2*w = -t + 3. What is the nearest to g in 2, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296 and 2220?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 8:11 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) - 1970\/(-8). Let d = -138 + g. What is the units digit of (-1)\/(-4) - d\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 3 (c) 0.04 (d) 450 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 42*x**2 - 68. Let c(s) = 21*s**2 - 32. Let i(d) = 7*c(d) - 3*k(d). Let u(t) = -4*t**2. What is i(u(j))?\nAnswer: 336*j**4 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5105?\nAnswer: 5, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -59*m - 290. Let o be t(-5). Solve 87*r - 85*r + 16 = -4*i, -o*r + 4 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 6:52 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2923752 to the power of 1\/2, to the nearest integer?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -4, 0.13, 5\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*5\/(-8)*2. Let t = -1.368 + 1.268. Which is the third biggest value? (a) -2 (b) h (c) t (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 3, o: 1, b: 1, f: 6, a: 1}. What is prob of picking 1 a and 2 y?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10065 and 30.\nAnswer: 20130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 15*f = 123 + 629, -5*b + 4*f = -4155. Calculate the remainder when b is divided by 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22\/23 in 2\/3, 24, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-2 - (-6 - -6). Let d = 0 - -5. Let y = -0.161 - -0.061. What is the closest to 1 in z, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 65305.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -404, -403, -398, -389?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:58 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -490000 rounded to the nearest 10000?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.47 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 - 1. Let b be d(-1). What is the remainder when 3\/b - 1452\/(-20) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -1, 20, 61, 128, 227?\n\"Answer: z**3 + z**2 - 3*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 14) to base 8\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = 0. Suppose -b + 2 = -q*b. Suppose -5*o + 51 = -2*k + 11, b*o - 16 = -3*k. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 = -10*p + 535. Let j(h) = -2*h + 6. Calculate j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -1\/9 (c) 0.7 (d) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 13*p + 16. Let y be a(11). Let r = 1265 - 1264.7. Put r, y, -1\/5 in decreasing order.\nAnswer: r, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/((-4774)\/504)*30*(-14)\/252\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377393 is divided by 100?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1025745 and -57\/350.\nAnswer: 10257450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193 - 6. What are the prime factors of q?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 * -4376.\nAnswer: 656.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/24*-4*-3. Solve 7*i**2 + 2*i**c - 2*i**2 + 2*i + i**2 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -160b?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 + -48. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127720833 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*l**2 - 110*l**2 + 2 + 5 - 3998*l**3 + 3952*l**3 - l in the form p + i*l**3 + b*l + v*l**2 and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(6) + -3 + ((sqrt(50)*-3)\/sqrt(10))**2.\nAnswer: sqrt(5) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/159702 and 59\/167847.\nAnswer: 8935167198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -19. What is the smallest value in p, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 9*a**2 + a + a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**4 + 0*b**2 + 1\/6*b**6 + 0*b**5 + 1 + 0*b + 76\/3*b**3. Find the third derivative of h(j) wrt j.\nAnswer: 60*j**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 558821434 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 0. Let c = 10 - u. Let d(z) = z**2 - 4*z + 1. Calculate d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + f**2 + 5*f. Let z be h(5). Let l = z - 119. Does 28 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2964*v**3 - 5811*v**3 + 1947*v**3 - 6285*v**3.\nAnswer: -13113*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22344258 to the nearest integer?\nAnswer: 4727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -255213000 to the nearest one million.\nAnswer: -255000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*l + 129712 = 7*b, 103773 = 4*b - l. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 4*h**2 - 1. Let d(c) be the third derivative of -3*c**2 + 0*c**3 + 5*c + 0*c**4 + 0 - 1\/12*c**5. Give v(d(i)).\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13 - 4.87. Let t be 2 + (-3)\/(54\/75). Let v = t - -235\/114. Which is the nearest to -0.1? (a) v (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 82842?\nAnswer: 248526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-225))\/((-5)\/(-150)*12)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/5*(0 - -1)*(-40)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102066 or -102067?\nAnswer: -102067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/5 - -1)\/(90\/(-300))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*l + 17 = 0, 3*p + 3*l = 9 + 6. Let f be (2 - 172)*1\/(p + -4). Calculate the highest common factor of 34 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-8)\/(-6) - 1). Let c(q) be the third derivative of -2*q**2 - 1\/120*q**5 + 0 - 1\/240*q**6 + 0*q + 0*q**l + 0*q**4. Let c(f) = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1112, -1, -5, -18, -4, -2, 0 in descending order.\nAnswer: 1112, 0, -1, -2, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**(-1)*l**(-2)\/(l**(-1\/3)*l)*((l**(-3\/7)\/l)\/l**(-4))\/(l\/l**1)**(-35) assuming l is positive.\nAnswer: l**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8*812\/(-1015))\/(3\/12)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43667579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/471150 and 1\/540?\nAnswer: 942300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5772 and -0.08.\nAnswer: -0.046176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + -2 + 0 - 4 - 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-1 + 0 + 6 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x. Let d be p(2). Let m(t) = -2*t**3 + 13*t**2 - 5*t + 5. What is the smallest common multiple of m(d) and 37?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - v + v)*(4 - 3 + 0) + (4 - 2 - 1)*(2*v - 2*v + 2*v) - 3*v - 3 + 3 as r + a*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**5 + 2436*a**4 + 19611*a**3 + 56496*a**2 + 68844*a + 29520 = 0.\nAnswer: -3, -2, -1, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 1 - (3 + -26). Let k = y + -23. What is the units digit of (-24)\/15*190\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.067 and 0.46.\nAnswer: 0.03082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2. Let d(f) = 5*f**2 - 8*f + 8. Let o(g) = -3*g**2 + 5*g - 5. Let z(r) = -5*d(r) - 8*o(r). Calculate u(z(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 = -r, 2*n - 6 = 2*r - 3*r. Let q = 7 - r. Suppose -t - 5*o + 28 = -0*t, 4*t + 3*o - 61 = 0. What is the remainder when t is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 2601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - o + 141 = 157, 4*w = -3*o. Suppose -12 = -3*l - 0*l. Solve 24 = -w*h - 4*p, p + l = 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 s when four letters picked without replacement from {s: 8, v: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15344244 - -31?\nAnswer: -15344213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88044, 347151, 778996, 1383579, 2160900, 3110959, 4233756?\nAnswer: 5529291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 3 = -14. Solve -5 - r = y + 2*m, -4*m - 16 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 5*d = -15*m - 37, m - 2*d = 10. Let y(h) be the first derivative of h**4\/4 + 3*h**3 + 11*h**2\/2 + 18*h - 2. Calculate y(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 76 = 3*t. Let j = 25 - t. Let b be 1\/(12\/j - 0). Is -1 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as 142742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 - 312 = 9*v. Solve 4*a = -v*m - 6, -4*a - 31 + 7 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**5\/5 + 978*t**4\/5 - 982*t**3\/5 - 978*t**2\/5 + 196*t = 0.\nAnswer: -490, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**3 + 6*o**2 - o. Let g(z) = -z**3 - z. Let s(p) = 6*g(p) + x(p). Let i be s(-7). Suppose i*y - 380 = -5*y. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1350 or 1346?\nAnswer: 1350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12550 divided by -5?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 84?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(24\/10 + -2). What is the remainder when (-222)\/(-9) + s\/(-3) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*b - 33 + 7, 2*b + 34 = 4*z. Is b less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1495492 rounded to three decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + m. Let g(i) = -7*i**2 - 5*i - 5. Suppose 2*b = 7*b + 25. Let v(o) = b*r(o) - g(o). What is the first derivative of v(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, p: 2}. Give prob of sequence prrr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17020749, -34041498, -51062247, -68082996?\n\"Answer: -17020749*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -753 - -525. Let i = y - -380. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85030 times -5\nAnswer: -425150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 + 1.21. Let s = l - -0.49. Which is the nearest to 0.05? (a) -2\/3 (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 24*s + 28. Determine m(-10).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-3)\/(-2) + 1. Suppose d*k = 2*k + 48. What is the remainder when k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10583.\nAnswer: 19, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 135*b + 3358. Determine n(-25).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 2*n + 78 = 0. What are the prime factors of 1 + -3 + (182 - n)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46461061 + -2?\nAnswer: 46461056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-62)\/(-8))\/(7\/28). Suppose 0 = 4*v + 17 + r. Let j(w) = -w**3 - 10*w**2 + 17*w + 5. Is j(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -216, 6, -4, 8, 111 in decreasing order.\nAnswer: 111, 8, 6, -4, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -43895694.9 to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 962092 + 720652 + 570275 = 97*y. What is the lowest common multiple of y and 11?\nAnswer: 255497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**(-19))*c**(-2\/33) assuming c is positive.\nAnswer: c**(-629\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29925812 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*a = -2 - 3, 0 = -2*a - 4. Suppose 2*v - i*d = 207, -7*d + 2*d = 25. Suppose 0 = -3*m - 3*s + v, 3*s + 44 = -3*m + 4*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a + 1. Let b be y(1). Suppose -b*n = -4*q + 11, 8 = 4*q - 6*n + 2*n. Which is greater: q or -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -u + 8. Let i = u - 11. What is the units digit of (52\/i)\/((-22)\/(-33))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 109*v**2 - 1. Let x be i(-1). Let w be 16\/(-24) - 38\/(-3). What is the highest common divisor of w and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nznznn. What is prob of sequence nnzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -783, 63 in increasing order.\nAnswer: -783, -2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, d: 11}. Give prob of picking 1 d and 3 x.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 509*z - 2 + 515*z - 1026*z. Let j(v) = v**2 - v - 1. Give -10*j(b) + 5*r(b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 132*j**2 + 1117*j - 432. Calculate p(-140).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (17 + -22 - 13) + 15 + -15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-8)*68*(-13)\/78.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 7*f + 1. Let o(d) = 119*d**3 - 15*d**2 + 37*d + 3. What is -5*j(n) - o(n)?\nAnswer: -119*n**3 - 2*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*g = -4, 0 = -2*a - 4*g - g + 4. Let h be 216\/102 + a\/(-17). Solve 3*j + 10 = -h*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -6. Sort -12, -3, v in decreasing order.\nAnswer: -3, v, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 459 - 1369*h**4 - 1379*h**2 - 459 wrt h.\nAnswer: -32856*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271792.2kg to tonnes.\nAnswer: 271.7922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.28, 1\/3, -3 in descending order.\nAnswer: 1\/3, 0.28, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7666430 + -134?\nAnswer: -7666564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -38065\/3 < -12689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - f**2 - 5*f)*(-f**2 + 2*f**2 + f**2 + (23 - f - 23)*(-4 + 3 - 1)*(7*f + f + 15*f)) to j + k*f + p*f**4 + c*f**3 + m*f**2 and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1452) - (-1 + sqrt(1452))) + (sqrt(12) + -1 + sqrt(12))*-4 + sqrt(12) - (-5 + (sqrt(12) - (sqrt(12) + sqrt(768)*1))))*3)**2.\nAnswer: 360*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((((l**(2\/9)*l)\/l*l)\/l*l)\/l)*l\/l**(2\/11)*(l*l\/l**(-1\/9)*l)\/(l**(-4\/5)\/l))**(-38) assuming l is positive.\nAnswer: l**(-122398\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 3671558.\nAnswer: 3671557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 + 31 = 5*r. Let g = 3 - 8. Let f be 198\/10 - 1\/g. Calculate the greatest common divisor of f and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 10}. Give prob of sequence eee.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22\/(-6) + 4)*51. Solve -h = 5*y + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t - 4*x - 6 = 0, 2*t - 15 = -5*x. Let d = 4 - 1. Let a(s) = -2*s - 4 + 7*s - d*s. Calculate a(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29\/7 - -123\/28. What is the closest to -2.1 in l, 5, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**3 + 18*w**3 + 13*w**3.\nAnswer: 57*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 158313163 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or 10225?\nAnswer: 10225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.144ml to litres.\nAnswer: 0.078144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -31*v**3 - 7*v**2 + 7*v + 7. Let p(d) = -15*d**3 - 3*d**2 + 3*d + 3. Let j be (1 - 12\/10)\/(2\/(-30)). Give j*x(r) - 7*p(r).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 19*c**3 - 55*c**2 + 17*c - 37. Let a(o) = 6*o**3 - 20*o**2 + 6*o - 13. Calculate -11*a(p) + 4*j(p).\nAnswer: 10*p**3 + 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 8*d**2 + 9*d**2 - 9*d**3 + 3*d**2.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -224301900 rounded to the nearest 1000000?\nAnswer: -224000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.9607114 weeks?\nAnswer: 9683.970912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 7*v**2 - 12*v + 11. Let m be s(8). Let b = m + 20. Suppose -3*u = 10 - 4. Is b smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 - 91. Suppose -4*g = -2*w + y, -w - 8*g - 11 = -3*g. Is w at most as big as 2\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, 1, 2\/7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 7*p**2 + 7*p + 6. Let a = -9 - -15. Let d be u(a). Suppose -r - 163 = -5*r - 3*j, r - d = 5*j. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {p: 1, a: 2, m: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.93 + 12.53. What is o rounded to 0 decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -6*f + 72. What is the third derivative of -88*a**2 - 10*a**5 + 77*a**6 - 45*a**6 + 47*a**6 + f*a**5 wrt a?\nAnswer: 9480*a**3 - 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 122 and 0.018.\nAnswer: 122.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3241*i**2 + i. Let d(c) = -2*c. Give d(f(k)).\nAnswer: -6482*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**2. Let t(p) = 2*p + 6. Let j(m) = -2*m - 5. Let g(q) = 6*j(q) + 5*t(q). Calculate c(g(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -6\/11483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -288, 118, 5 in increasing order.\nAnswer: -288, 5, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10425 - -114?\nAnswer: -10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-8))\/((-2)\/8). Solve 2*g - 11 = o, -2*o + 3*g + 16 = -p*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 2*m - 5, -2*j - 847 = 3*m - 835 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 4*i**2 - 2*i. Let h be ((-2)\/(-7) - 215\/(-105))*-3. Let j(b) = 4*b**3 - 13*b**2 - 7*b. Determine h*c(x) + 2*j(x).\nAnswer: x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65448 and 235734.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 = -6*l - 440. Suppose l*z - 17*z = -140. Solve 5*a - 5*t - 25 = 0, -a = -3*a + 3*t + z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) 1\/156 (b) -5 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*a + 3*p, -2 = 4*p + 18. Suppose a*i = 3*q + 375, 2*i + 2*q + 0*q - 150 = 0. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3988611 or 5?\nAnswer: -3988611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*j + 68. What is the remainder when j is divided by 15\/(-25) - (-212)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1209737000 to the nearest one million.\nAnswer: -1210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 69339791 >= 69339799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423784?\nAnswer: 2, 52973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57\/175 + 1\/25. Let z be ((-4)\/(-2))\/20*(-132)\/11. What is the second biggest value in s, -0.5, z, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a decade in months?\nAnswer: 2700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/10356 and 187\/9656970.\nAnswer: 19313940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 77, 288, 859, 1970, 3801, 6532, 10343, 15414?\n\"Answer: 30*i**3 + i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 79?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 + 2. Let z(c) = 4*c**3 - 12*c**2 - 124*c - 27. Let u(t) = -3*o(t) + z(t). Calculate the remainder when u(21) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373264?\nAnswer: 2, 41, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = l - 196. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3866 + 3866 - 21161*g + 2491*g)*(-3*g**2 - 2*g**2 + 3*g**2) in the form s*g**2 + u + z*g + b*g**3 and give b.\nAnswer: 37340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2)*1 - sqrt(2)) + (sqrt(200) - (-1 + sqrt(200))))**2 + 1 + -1 + -2 + 3.\nAnswer: -6*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 + 88. Let u(c) = -2*c + 5. Let d be u(b). What is the third derivative of -34*y**4 - 16*y**2 - d*y**2 + 4*y**2 + 3*y**4 wrt y?\nAnswer: -744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-8)*-6*(-16)\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**4 - 9*c**3 - 35*c**2 + c + 10. Let y(l) = 3*l**4 - 3*l**3 - 12*l**2 + 3. Let q(w) = 3*j(w) - 8*y(w). Let q(x) = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 2) to base 4.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 >= 1703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101110222212112222 + 11?\nAnswer: -101110222212112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 20 - 28*g**2 - 7 + 2*g**2 - 2*g**2 - 2*g**2 + (-4*g**2 + g**2 + 2*g**2)*(-3 + 3 + 1) + 0*g + 0*g - 2*g**2.\nAnswer: -33*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -106106 - 1?\nAnswer: -106107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 1583536 = -9*k. Is 0 + -2*k\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*a**3 + 260*a**3 + 119*a**3 - 97*a**3.\nAnswer: 474*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*l + 51*l = 20. Let o(a) = -2*a**3 - 6*a**2 + 10. Let j be o(l). Solve 5*x = j*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -263 + 1744. Let h = -641 + b. List the prime factors of h.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2952 + -2959. Put a, -0.3, 6 in ascending order.\nAnswer: a, -0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 5. Let o(s) = -1 + s - 5*s - 8 + 1. Let v(d) = -5*o(d) + 8*u(d). Let w(x) = x. What is v(w(m))?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 308 = 2*y. Let p(s) = 2 - 3*s - 2 + 2. Let b be p(-3). What is the highest common factor of b and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6278 - 13978. Round b to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(375))\/(sqrt(75)*1) - (((sqrt(20)*1)**2 + sqrt(30)\/sqrt(96))*1 + 3).\nAnswer: -23 - 9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/84709 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**2*o**4 + 101*h**2*o**2 - h**2 - 248*h*o**4 - 16*h*o**2 + 204*o**4 - 5*o**2 wrt o?\nAnswer: -24*h**2*o - 5952*h*o + 4896*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 2, -2, 6, -539, 15 in decreasing order.\nAnswer: 15, 6, 4, 3, 2, -2, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 366 and 132.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 442401 (base 6) in base 2?\nAnswer: 1001000000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvriqqqq. Give prob of sequence qrq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 8) to base 4\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)\/(32\/64). Let o be ((-12)\/5 + v)\/(1\/(-10)). Let r = 5 + 2. Solve 3*s + o*u - 30 + r = 0, s + 5*u - 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1175 and 3378313?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(200) + 2) + (sqrt(200)*-1*4)**2)*5.\nAnswer: -50*sqrt(2) + 15990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2306323 is divided by 115314?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 497282496 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(3)*-1)*-2 + -5*(sqrt(3) + sqrt(12)\/sqrt(4)) + -5)**2.\nAnswer: 140*sqrt(3) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((9 - 2 - (-8 + 11)) + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -465113, -465116, -465119?\n\"Answer: -3*y - 465110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.489 * 5\nAnswer: 2.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*m + 7. Let f(n) be the third derivative of n**5\/30 + n**4\/24 + 188*n**2 + 1. Is 16 a factor of f(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -610516300 rounded to the nearest one million?\nAnswer: -611000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6628.\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + -11982?\nAnswer: -11965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let v = 6 - u. Solve 2*k + 0 = -x - 2, -2*x = -v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*n + 154 + 13*n - 25*n**2 + 14*n - 30*n with respect to n.\nAnswer: -50*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = 6*q. Suppose -2*r + f + 122 = 4*f, -5*f = -q*r + 244. Let k = r + -55. Solve p + 3*x - k = 5, 0 = -4*x + 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40968, 81912, 122832, 163716, 204552, 245328, 286032, 326652?\nAnswer: 367176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3896, -7676, -11456, -15236?\n\"Answer: -3780*v - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 3 (b) 4 (c) -2\/9 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 3. Let u(l) = 4*l + 5. Suppose -5*a - 8*f - 15 = -6*f, a + 3*f - 10 = 0. Determine a*n(k) - 3*u(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3507385 and -8.\nAnswer: -28059080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102292\/44 + (-14)\/(-77). Calculate the greatest common divisor of t and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15166*b - 1 - 15166*b - 28648*b**2 in the form u*b**2 + t*b + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*z = -z - 700, 0 = 2*s + 3*z - 345. What is the greatest common divisor of 406 and s?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -624*k**3 + 4*k**2 - 67*k. Let v(h) = -1872*h**3 + 13*h**2 - 216*h. Determine 13*m(j) - 4*v(j).\nAnswer: -624*j**3 - 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -259 - -507. Let s be u\/64 - (-1 - -5). What is the third smallest value in 11, 5, s?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2351*d - 2. Let r(u) = 2940*u - 1. Determine y(r(l)).\nAnswer: -6911940*l + 2349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 109*c**2 - 259*c - 66. What is d(52)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12618114?\nAnswer: 2, 3, 17, 123707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x - 1. Let d be t(-2). Suppose -d = 2*b - 7*b. Let h = -4 + b. Let y(j) = -j**2 + 1. Let p(u) = u**3 - 4*u**2 + 2. Calculate h*p(s) + 2*y(s).\nAnswer: -s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)*f\/f**(-3\/4))**(7\/4))**(17\/2) assuming f is positive.\nAnswer: f**(1547\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14470, -27286, -40102, -52918?\nAnswer: -65734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5739 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2140 by -5.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-7))\/(((-756)\/98)\/9)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3046239276 to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -89112, 1, 640 in descending order.\nAnswer: 640, 2, 1, -1, -89112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from mgggbgggmgggmm?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 136 = 772. Let o = v - -233. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 255*k**2 + 35*k - 5. Let o(p) = -764*p**2 - 112*p + 16. Give -16*c(b) - 5*o(b).\nAnswer: -260*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -116. Let v = x + 14. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10\/103 - -568\/515. Let x be -4 - -2*(-15)\/(-6). Let z be ((-74)\/(-56) - x) + (-10)\/(-40). Put i, 2\/5, z in decreasing order.\nAnswer: i, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:21 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 720\/7 - 2206\/21. Let c = 20\/7 + g. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -l - 54. Let x(k) = -11*k**3 - 4*k**2 - 2*k. Let c be x(-2). Let g = c + l. Solve -m - 2*m = g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/((-225)\/(-114)) - 13 - (-3 - (-310)\/110)\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 18 - 2. Let z(q) = q**3 - 3*q**2 - 5*q + 6. Let v be z(y). What is the second derivative of -b - 14*b**3 - v*b - 4*b wrt b?\nAnswer: -84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s - 37. Let o be x(15). Solve 2 = -o*v + 7*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (105\/(-63))\/(3\/9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*u - 90867 = 0, i - 37039 = -u + 53853. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 889 = i, 112 = 5*c - 2*i + 1000. Let a be (-4)\/(14\/4 - 3). Is (c\/a)\/(1\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1275 and (12\/(-18) + (-111)\/(-45))\/(6\/(-4)).\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(1\/(-2)))\/1. Let u(t) be the first derivative of -3\/2*t**2 - t + w. Calculate u(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.937 + 2.937. Which is the closest to j? (a) 0.1 (b) 3\/8 (c) 0.08 (d) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -108*o**2 + 12*o - 109. Let l(f) = 107*f**2 - 10*f + 108. Let y(m) = 6*l(m) + 5*s(m). Find the first derivative of y(w) wrt w.\nAnswer: 204*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 121939 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/8, -57 in decreasing order.\nAnswer: -3\/8, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l = t + 18*l - 15, l = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/232029 and -49\/24?\nAnswer: 1856232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.46, 3?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -t - 133 + 139, 4*b = -2*t + 16 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, 27\/2, 2\/15.\nAnswer: -5, -0.2, 2\/15, 27\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -2*v**5\/165 - v**4\/132 + v**3\/11 + 452*v**2. Let b(f) = 0. What is f?\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 195\/21 + (-8)\/28. Let l = n - 7. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**5\/5 + p**4\/4 - 5*p**3\/3 + 3*p**2\/2 + 2. Factor s(v).\nAnswer: v*(v - 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2 + 12. Solve -t*i - 4*h - 10 = 0, 7*h - 2*h = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Solve 0 = -s + 2*g - 3, -5*s - k*g + 4 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -913.10333277 - 0.04\nAnswer: -913.14333277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00544462 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 5*u + 11. Let j(n) = n**2 + 2*n + 4. Let y(i) = 8*j(i) - 3*t(i). Calculate y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(45)\/sqrt(3))\/sqrt(3) + 1 + sqrt(20)\/sqrt(4) + (5 + 6*sqrt(500))**2 + 4.\nAnswer: 602*sqrt(5) + 18028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040146499 rounded to 4 dps?\nAnswer: 0.0401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -384 + 563. Let h = r - 179.067. Round h to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 1:41 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -5. Let p be d\/(-10) + (-118)\/(-10). Suppose 5*i - 192 = i. What is the highest common divisor of p and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(75\/30*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -6*k + 150. Suppose 0 = -5*u + k, 0 = 2*q + u - 1 - 6. Solve -3*i + q = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0 + (1 - 3 + 1)*(3 - 3 + 1) + 2 + 5 - 2)*(-354*h - 87*h**2 + 372*h - 6*h**2) in the form q*h + n + u*h**2 and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16929429 is divided by 1919?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/30*24\/((-936)\/(-325))\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*u - 570, -6*u + u + 2*g = -976. Suppose -5*d = -u + 34. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/3, 1086?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*w + 5. Suppose -w*s = s. Suppose s = -6*g + g + 90000. What is g rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123.243 milliseconds in seconds?\nAnswer: 2.123243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:04 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*s**5 - 25*s**2 - 21*s + 8*s**2 - 11 - 3010*s**5 + 3*s**6 + 11*s**2 wrt s?\nAnswer: 360*s**3 - 177480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p - 48 = 9*p + p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 16\/5, -0.1 in decreasing order.\nAnswer: 16\/5, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -24*g**2 + 1018*g + 10502. Calculate q(51).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697538.4ml in litres?\nAnswer: 697.5384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 greater than 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*h = 181 - 667 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 8*g**2 - 4*g + 1. What is b(-7)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4770.34714 to the nearest ten.\nAnswer: -4770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.6 - -5.8. Let x = b - 8.29. Let q = 0.48 + x. What is q rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 1374 - 1940 - 7594 = 125*b for b.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4156*i**3 + 4*i**2 + 6*i - 4*i**2.\nAnswer: -4156*i**3 + 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210 + 399. Let u = -45 + b. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -3249\nAnswer: -1299.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 3*y + 2*h, 0 = 4*y + 2*h - 8. Suppose y = b + 4*b - 92165. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 47*q + 143. Give g(-16).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132 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: Let i(k) = k + 160. Let l(m) = 29*m**2 + 4*m + 4. Let s(u) = -79*u**2 - 11*u - 11. Let a(d) = 11*l(d) + 4*s(d). What is a(i(x))?\nAnswer: 3*x**2 + 960*x + 76800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - 4*c + 1. Let v be a(1). Suppose -o = -v*o - 15. Suppose k = -y + o, 2*k = -2*y - k + 27. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 16.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015303 to six decimal places.\nAnswer: 0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -39, -68, -119, -198?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**2\/3 + 2608*g\/3 - 5264 = 0.\nAnswer: -658, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-8))\/(-13*8\/(-104)*1)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (-17 + 11 + 25).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 0.2, -2847?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 258, 264, 266, 258, 234, 188, 114?\n\"Answer: -y**3 + 4*y**2 + y + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -89.3*-2003.9\nAnswer: 178948.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + q - 29 + 20 in the form o + d*q and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*q**3 - 814 - 4*q**4 - 101*q**3 + 15*q**3 + 26*q**3 wrt q?\nAnswer: -16*q**3 - 363*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 86*q + 827. Let p be g(75). Solve 3*k = p*h + 22, -h - 18 = -k - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 1)*(2*s**4 + 9*s - 12*s**2 + 12*s**2) + (-5*s - 3*s + 6*s)*(-s**3 - s**3 + 0*s**3) to the form a*s**3 + m + i*s**2 + y*s**4 + d*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.3, -2, 17.2.\nAnswer: -2, 3.3, 17.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (315\/(-70))\/(6\/16) + (2 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599286.\nAnswer: 2, 3, 99881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40, -46, -50, -52, -52?\n\"Answer: o**2 - 9*o - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Let n(l) = -l**2 + 7*l + 4. Let c be n(7). Suppose h*w - c*w - 4*v + 44 = 0, -2*v - 2 = -w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2148 - -2148. Let v(w) be the second derivative of -4\/5*w**5 - 1\/21*w**7 + 19*w + 7\/15*w**6 - 8\/3*w**4 + q*w**2 + 0 + 0*w**3. Factor v(a).\nAnswer: -2*a**2*(a - 4)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((73\/511)\/(18\/21))\/(3\/15).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1156, -1142, -1116, -1072, -1004?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 + 3*h - 3. Let g(u) = u. Let m be (-2)\/(-8) + (-2946)\/(-3928). Give m*i(l) - 4*g(l).\nAnswer: -5*l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 10 = -3*n. Let x = 4 + -4. Let s = 91.4 + -91. Which is the nearest to n? (a) s (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2 - 49268770*x - 49268772 = 0?\nAnswer: -1, 24634386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073 times -140639?\nAnswer: -10266.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1582.97669 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1482 and 101759502.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33684.966 days to weeks.\nAnswer: 4812.138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 177\/885 + (-1)\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*z = -34773, -46*i - 34803 = -48*i - 3*z. List the prime factors of i.\nAnswer: 2, 3, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + m - 21, -4*r + 29 = 3*m - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15499, 3, -166 in decreasing order.\nAnswer: 3, 2, -166, -15499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 2*x - 2. Let a be p(-6). Let t = -361 - -246. Let l = 269 + t. Calculate the greatest common divisor of l and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 divided by -1.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(704)*1)**2 + 5*sqrt(704)*-2.\nAnswer: -80*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 3, y: 1}. Give prob of picking 1 g and 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357261, 357217, 357173, 357129, 357085, 357041?\nAnswer: 356997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*y - 1338*y - 773*y - 34*y - 2562*y as x + u*y and give u.\nAnswer: -4941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/(-75) + (-38)\/(-30). Suppose 0 = -4*n + 8. Determine f, given that -d + 0*f + 2\/3*f**n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*g + 308 - 32 - 29 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -31*x + 46*x + 49*x. Let i(v) = -v**2. What is i(u(c))?\nAnswer: -4096*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 4)*(-16*t**4 + 6*t**4 - 20*t**4) to l*t**2 + b*t**4 + o + v*t + f*t**3 and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -912, 122, 4, 2, -5 in decreasing order.\nAnswer: 122, 10, 4, 2, 1, -5, -912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 194 = -6*x - 2*t, -x + 87 = -3*t. Calculate the greatest common divisor of 68 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3838957499 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126.01 + -126.02. Which is the closest to -0.4? (a) 0.1 (b) 3 (c) p (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 + -117. What is the nearest to -5 in 1, s, 1\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(612)*2 + -5 - (sqrt(612) + (sqrt(612)*1 + sqrt(612))*3))*-5)**2 + 5.\nAnswer: 7500*sqrt(17) + 383129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012551 rounded to seven decimal places?\nAnswer: -0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29205759.61 and -0.01?\nAnswer: 29205759.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v + 42. Let s be c(-9). Suppose 3*g = s*g - 84. Suppose -21 = -r - 5*x + 69, 2*r + 2*x = 212. Calculate the remainder when r is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(246\/4059).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 908788 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(2\/197)\/(a\/(a\/(a**9*a))*a**(2\/7)))\/(a**(-7\/3)\/a**(-9))**(-2\/39) assuming a is positive.\nAnswer: a**(-1606006\/161343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8989469ms in minutes?\nAnswer: 0.000031649115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -8) + 45 + 12.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/9 and -0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 56*g - 12. Let p(t) = -63*t + 10. Let c(q) = 4*p(q) + 3*x(q). Let f(z) = z**2. Calculate c(f(m)).\nAnswer: -84*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuk when three letters picked without replacement from kugzpufk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 + -6. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.80907kg in milligrams?\nAnswer: 30809070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + q - 176 = 0, 255 = -3*c - 5*q + 2*q. Let h = c + 41. Let z = h + 89. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91668 - 35701. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 != -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) -1\/2 (c) -2\/3 (d) 0.332 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*w**2 + 1132*w**3 + 69*w**2 + 67*w**2 - 36*w**3.\nAnswer: 1096*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {v: 1, j: 1, h: 1, i: 1, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - d - 397 = 3*d, 2*d - 139 = -v. Let m be (-30)\/v + 824\/(-18). Let y = -26 - m. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + (-4 - -4) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-74)\/(-14) + (-4)\/14. Suppose -z - 200 = -x*z. Suppose -3*l = -2*l - 2*t - 22, 2*t = -3*l + z. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/17 + 3386*r\/17 - 96376\/17.\nAnswer: 2*(r - 28)*(r + 1721)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27154*n*z**3 + 115*n*z**2 + n*z - 878*z**3 + z**2 - 50840 wrt z.\nAnswer: -162924*n - 5268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*q + 34*q - 2856. Suppose 5*m = -2*f + 6*f - 308, -20 = 5*m. What is the greatest common divisor of f and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3024)\/(-81))\/56 + (136\/(-6))\/(-2). Put 25, x, 0 in descending order.\nAnswer: 25, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6221.772 months in decades?\nAnswer: 51.8481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10132323232 (base 4) in base 10?\nAnswer: 1175278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*s - 2677532 = -1002824. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 2*i - 4. Let q be x(-6). Let k(n) = n**2 - 8*n - 44. Let o be k(14). What is the greatest common factor of q and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 less than or equal to -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72732747923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -551, 7, 1\/5, 7\/4 in ascending order.\nAnswer: -551, -4, 1\/5, 7\/4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30\/1133 - -100357\/18128. Let i be (-2 - -8)*14\/4. Find the common denominator of k and 111\/(-4)*(-7)\/i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 850\/(-120) + 6?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, a: 5, u: 3}. Give prob of picking 3 u and 1 a.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t + 42 = 0. Let r(p) = 2*p**2 + t*p - 14*p. Let w(a) = -5*a**2 + 6. Let y(f) = -9*f**2 + 11. Let b(v) = -11*w(v) + 6*y(v). Calculate r(b(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*l**5 + 1006*l**3*r - l**2*r - 2*l**2 + 120*l - 29*r wrt l?\nAnswer: 5700*l**2 + 6036*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*f = -r + 104, 0 = -f - 2. Let g = 640 + -635. Calculate the highest common factor of g and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-139)\/(-6) - (-5)\/(-30). Let k = x + -5. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 395, -3\/13, 2\/5, 1\/3, 9286?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 11*k - 8 = -15*k, 0 = -4*q - 5*k + 23 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.9 + -7.90000314. Round x to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeaaeeee. What is prob of sequence eea?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 24. Suppose 0 = -p + 3*s - 2, 2*p - v = -3*s - 2*s. Let l(o) = 11*o - 174. Let z be l(16). Solve -z*r - 15 = r + p*h, -4*h = -r + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 130, 125, 152, 229, 374, 605?\n\"Answer: 3*b**3 - 2*b**2 - 20*b + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+-0.057745\nAnswer: 0.002255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132440)\/(-7310) + -8 + -10.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79534.\nAnswer: 2, 7, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 597.1903ml?\nAnswer: 0.5971903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, r: 2, h: 4}. Give prob of sequence pppp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50041121 (base 6) in base 13?\nAnswer: 3a274b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -263149 and -0.39.\nAnswer: 102628.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, i: 9}. Give prob of sequence ji.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and -31.88.\nAnswer: -4.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.840508mm to kilometers.\nAnswer: 0.000000840508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (914 - -36)*(-2)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 - 4 - 4*n**2 + 4*n**2.\nAnswer: -6*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/22, -2\/7, 0, 8\/195 in increasing order.\nAnswer: -2\/7, -1\/22, 0, 8\/195, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -54578, -6, -15 in ascending order.\nAnswer: -54578, -15, -6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*m - 78, -2*d = -4*m + 103 + 9. Suppose 31*o - 5 = m*o. Suppose -o*j + 2*s + 18 = -2*j, 3*j = 4*s + 12. Solve 5 = -j*v + 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 43 + 49 = 0. Let k be (9\/4)\/(g\/(-160)). Let s = k - 598\/5. Which is smaller: 12 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -678.00001272 - -678. Round x to seven dps.\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 932182603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -47\/2. Suppose -2*w + 12 = -6*w. Let m be -5 + (-130)\/(-20) + (-2)\/4. Which is the closest to y? (a) 3 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1243*o - 70772 + 70772 + 4*o - o + 0*o + (o + o + 0*o)*(-2 + 3 - 2) + 1 - 2*o - 1 + 4*o + 0*o - 2*o.\nAnswer: 1244*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*r + 4*r**3 + 4*r)*(-2*r - r + 4*r) + 3*r**4 + 27*r**4 + r**4)*(-8*r + 68*r + 26*r).\nAnswer: 3010*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/98, -0.1, -3.\nAnswer: -3, -0.1, 15\/98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 37. Let f be -12*(h - 9\/2). Suppose 2*v - 1363 = f*j - 3*j, 2771 = 4*v + 3*j. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -17. Let j = q + 15. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96587289.\nAnswer: 3, 31, 167, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/1313 + -1646\/321685. Let b = q - -108\/1225. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25780000 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127488 is divided by 53.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 2*m**2 + 5*m + 2. Let w be z(-3). Suppose -400 = -39*i + 31*i. Let j = i - w. Calculate the smallest common multiple of j and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.1 - 15.21. What is the second biggest value in 0.1, h, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12758443?\nAnswer: 19, 151, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 6:30 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 7*k**2 + 7*k. Suppose 0*p + 29 = w + p, -w = -3*p - 49. Suppose 6*s - s = 20. Suppose 5*f + 25 = -6*m + m, -5*m - w = -s*f. Determine z(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, 4, -6957 in decreasing order.\nAnswer: 4, -3, -18, -6957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3255829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/25 (b) 4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-7)*4\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyytyngynynnnynnn. What is prob of picking 1 g and 3 n?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from heiheehuuheuhh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37733\/2910 - (-32)\/60.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from qknhzkozkzhz.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182222*u**2 - 91098*u**2 - 91114*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 16*n + 29 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1606 (base 7) to base 12.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 113, 200, 305, 428, 569?\n\"Answer: 9*y**2 + 60*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmtmmzctmmx. Give prob of picking 1 t and 1 m.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -153, -8, 0, 7, -4 in descending order.\nAnswer: 7, 0, -4, -8, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -19. Sort -8, -2, k.\nAnswer: -8, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-three eighths of a gram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*v, -u - v + 9 = 4*v. Let l(h) = h + 6*h - 2*h - u*h. Let p(c) = c. Calculate -4*l(d) + 5*p(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 7:41 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 4*v**2 - 2*v + 1. What is g(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18591222.4 rounded to the nearest 100000?\nAnswer: 18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + z**4 - 4*z**4 + 2*z**4 + 3*z**4 - 3*z**4 + (9*z + 6 - 6)*(13*z**3 - 10*z**3 + 83*z**3) to g*z**2 + v*z + y*z**4 + w + u*z**3 and give y.\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -311251066716503 - -311250683582885.000191. Let k = 383133396 + l. Let t = k - -222. What is t rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2481*f - 2255*f - 3390 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 7. Let z be n(5). Suppose 5*g + 0*g = 215. Let t = g - 24. Solve -w + 2 + 0 = 2*d, -4*w = -z*d - t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 9. Let v(w) = -3*w - 9. Let n(x) = -5*s(x) + 6*v(x). Is n(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-15)\/(-54))\/(3\/(-27)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/338 + 155\/4732. Let n = 0.245834 + 0.154166. Is n less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - q**5 - 3*q**5 + (-q**2 - q**4 + q**2)*(0*q + 2*q - 4*q) - 22*q**5 + 10*q**5 - 24*q**5 - q**5 + 2*q**5 + q**5.\nAnswer: -37*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2779778 divided by -5?\nAnswer: -2779778\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + 5*s**2 - s**2)*(0 - 3*s + 0) + 2*s**2 - 6*s - 97 + 97 - s**3 in the form x + j*s**2 + l*s**3 + k*s and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - k + 3*k + 513 = 475, -a + 2*a + 22 = -2*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 220. Let g be m(43). Let i = -0.14 + -0.56. Let z = -0.7 - i. Put -6, z, g in ascending order.\nAnswer: -6, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3805 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 - -0.3. Suppose -5*h + 0*h + 25 = 0. Suppose -3*j = -h*j + 6. Which is the second biggest value? (a) 5 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14*u**3 - 75*u**2 + 253*u + 1403. What is a(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-1179.\nAnswer: -117.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0*k**3 + 0 + 18*k**2 - 2\/3*k**4 + 0*k + 7\/60*k**5. What is the second derivative of p(f) wrt f?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oozzocooccczo. What is prob of sequence zo?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*f - i, i - 13 = -0*f - 2*f. Suppose v = 3*v - f*g + 3, 2*v + 4 = 4*g. Let k(z) = -z**2 - 5*z - 6. Calculate k(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*p - 57 - 30*p - 411*p**2 + 24*p wrt p?\nAnswer: -822*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -149869.3061999 and -0.6.\nAnswer: -149869.9061999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 34910978177 + -3\nAnswer: 34910978174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/15)*z*z**(7\/2))\/((z**(-1\/4)\/z)\/z**(3\/10)) assuming z is positive.\nAnswer: z**(431\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.4 (c) -2 (d) -2855\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3)\/d)**(-32)\/(d**(-2\/3)\/d)**(-35))\/((d*d**(-2\/7)*d\/d**(-1\/2)*d)\/((d\/(d*d**(-1\/3)))\/(d**(-3\/4)\/d))) assuming d is positive.\nAnswer: d**(-4099\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 20046350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6824?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**9)\/w*w*w)\/(w\/((w**(1\/11)*w)\/w))*(w*w**(-1\/2))**(-2\/17)*(((w**(2\/29)\/w)\/w*w)\/(w\/(w**(-2\/23)\/w)))\/(w\/w**2*w*w**(-6)) assuming w is positive.\nAnswer: w**(-621887\/124729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9370)\/(-65) - (-16)\/(-104). What is the highest common factor of t and 1224?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -2 + (-176 + 180 - -112)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-428 - -436) + (-2 - 1 - 0) - -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 346\/1300685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 66*f**2*x + 2011118*f**2 + 17633*f*x - 3*f - x + 5 wrt x?\nAnswer: 66*f**2 + 17633*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90201, -180424, -270657, -360900?\nAnswer: -451153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**3 - 4*y**3 + 0*y**3)*(2 - 1 - 3) + 145*y - 717*y**3 - 362*y + 108*y + 109*y to x*y**3 + r*y**2 + c + q*y and give x.\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1009 - -1010. Solve 3*a = 5*o - 2, -2*o + 3*o = 2*a - h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t. Suppose 9*q + 35 + 10 = 0. Let w(i) = 3*i. Let r(j) = q*f(j) + 3*w(j). Let g(u) = 5*u. Give 4*g(h) + 15*r(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/13, -5, 1, 0.5, -0.1 in decreasing order.\nAnswer: 1, 0.5, -0.1, -12\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**3 - 28*x**2 + 44*x + 12. Let g be i(8). What is the greatest common factor of 378 and g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a millennium in months?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 22. Let o(b) = 43*b**2 - 19*b**2 - 23*b**i. Let k(m) = -m**2. Give k(o(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 9:03 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-6)\/(-44)*1*((-1568)\/(-48))\/49)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-9)\/(-108)*9\/40*(-80)\/96.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - y. Let p be g(1). Suppose 3*t + 4*x - 21 = 0, 0*t + 4*t - x - 28 = p. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*i - 590, 3*f + 172 = 2*i - 215. What is the remainder when 1238 is divided by i?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 154985389?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 9*s + 4*s = 0, 0 = -2*w + 4*s. Suppose w = 4*y - 14*y - 60. Let x be 10\/(-2 + 0\/2). Is x not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -5, -5, -3, 1, 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164*l**4 + 2*l**3 + 89*l**2 + 360702*l wrt l?\nAnswer: -1968*l**2 + 12*l + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*x + 20 = -546*x, 2*g - g = -2*x + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 5:06 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/4 and (-2)\/(-10) - (-1445)\/(-350).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 24*p - 40. Let n be u(2). Solve z + 0*f + n = -4*f, z - f + 3 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1133701567 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.2 - 13.2. Let o = 3 - x. Let d(s) = -s**2 - s + 1. Let p be d(1). What is the third biggest value in o, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p**2 + 40*p**2 + 10*p - 48 - 5*p - 5*p.\nAnswer: -p**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275730047 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 16*z. Let d(o) = -28*o + 25*o - 14 + 14. What is c(d(p))?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44298 by -14766.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(833)*2 + -5)*-1)**2.\nAnswer: -2240*sqrt(17) + 53712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*i + 5*g + 3, -i = 3*g - 12. Let n = 2 - 0. Let m(w) = -2*w + w - n + 0*w. What is m(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 2*(-1)\/2. Suppose w + 5*a = 8, u = 2*w + w - 5*a + 16. Sort w, 5, -1 in decreasing order.\nAnswer: 5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*9\/12*392\/(-147)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -0.38, -0.6, 2\/19, -109?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 2 (c) -7\/2087 (d) 0.8 (e) 2\/17 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4425 (base 6) in base 10?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163689221*d**2*j + 9*d*j - 12*d - 17363*j + 6 wrt d.\nAnswer: -327378442*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -112*((-2)\/(-8) + -1). Suppose 2*b - f = -0*f + 58, -3*b + x = -3*f. Let r = 1498 - 1488. Calculate the greatest common factor of b and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2. Let b(c) = 5*c**2 + 3*c. What is b(p(g))?\nAnswer: 80*g**4 - 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 8*h + 3. Let d = 51 - 19. Let n(g) = -3*g + 104. Let f be n(d). Calculate p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -152 + 0*(-1 - 0). Let k = -62 - d. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b + 3. Let q = 20 + -20.3. What is the closest to q in 3\/7, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53837, -53901, -54007, -54155, -54345, -54577, -54851?\nAnswer: -55167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.70116 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3\/8 - 777*d**2\/2 - 50811*d\/8 + 82845\/2 = 0. What is d?\nAnswer: -21, 5, 1052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 s when three letters picked without replacement from ffffefeffeoffefse?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-460)\/828 + (-26)\/(-63))*(1 + -4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/3)*f)\/f)\/f)**(1\/9)\/(f**(-3\/2)\/(f\/((f**2\/f*f)\/f)))*(f**(1\/12)*(f**(4\/5)*f)\/f)**(-44) assuming f is positive.\nAnswer: f**(-10109\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2623*r - 1301*r + 3*r**4 + 5*r**3 - 1312*r in the form y*r**4 + j + k*r**2 + a*r**3 + g*r and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 30 + 10. Suppose 4*i - 3*z = 48, 4*z = 3*i - r*i + 46. Suppose -3*f = -i - 21. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/5 + 101*b**2\/5 + 5364*b\/5 - 35604\/5 = 0?\nAnswer: -43, 6, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 533403 (base 7) in base 14?\nAnswer: 259aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1976 + 2816. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227, 36, 58, -76, 4 in decreasing order.\nAnswer: 227, 58, 36, 4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3)*i)**11\/(i*i*i**1*i*i*i*i**(-1\/3)))\/((i**(-1\/4))**14*(i*i*i*(i\/((i*i**(-1\/2)*i)\/i))\/i)**(2\/95)) assuming i is positive.\nAnswer: i**(55\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8964371219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2035 rounded to the nearest 10?\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -448433.41796 + -182948.58248. Let i = u - -631402. Let b = i + -20. Round b to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 975741 + j + 975741 - 3*j**2 - 53*j**2.\nAnswer: -56*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1676 - 4958\/3. Calculate the common denominator of d and -23\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -537*h**3 - 9*h**2 + 4*h + 870743.\nAnswer: -1611*h**2 - 18*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.93 minus 38148238891?\nAnswer: -38148238866.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286254513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k + 6. What is the remainder when 29 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13707?\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8*x**3 + 22*x. Let h(p) = p**3 - 3 + 3 + 3*p. Let u be (2\/(-6))\/(918\/(-121176)). Let k be (4\/6)\/(3\/(-27)). What is k*r(t) + u*h(t)?\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 3, i: 7, t: 4, z: 4, r: 1}. What is prob of sequence rpz?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -10) + (3567 - 3540).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40986*j - 1484*j - 2559*j.\nAnswer: 36943*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1842 and -205.1?\nAnswer: 204.9158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 3*n - 4*n)*(-2*n - 1 + 1) + 93*n - 52*n**2 - 93*n)*(-10 + 7 + 12).\nAnswer: -432*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2 - 2*k. Let m be t(-1). Let h(w) = 4 - 16*w**3 - 4*w**2 + m*w**3 + w - 2*w + 9*w**3. What is h(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -15*n - 19. What is t(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1322 (base 13) to base 15\nAnswer: c22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 461 times 237\nAnswer: 109257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2750657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1643092 = 41*q + 1642067 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -413444243 (base 5) in base 12?\nAnswer: -6a16a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i + 9. Calculate a(6).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b4 - 3da?\nAnswer: -88e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4089763\/893385 + 1\/19853. Let n = j - -24\/5. Let p be 2\/4 - 1\/2. Put -4, p, n in descending order.\nAnswer: n, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d - 395. Let n(a) = -2*a + 131. Give 8*n(y) + 3*s(y).\nAnswer: 2*y - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 12. Let m be a(4). Let r = -2\/63 + 193\/126. What is the third smallest value in r, m, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1509342.985 to the nearest 1000.\nAnswer: 1509000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 782432?\nAnswer: 1\/391216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4*x - h**4 - 28262699*h**3*x + 6366*h**2*x - 106*x - 3 wrt h?\nAnswer: 24*h*x - 24*h - 169576194*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 6:40 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86890 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 - w - 2. Is c(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 4. Let c be f(0). Suppose -c = -m, -2*n + 4*m = -n + 18. Is n at least as big as -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698 = 5*o + 633 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 87343\nAnswer: 14\/87343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(1\/2)*h*h**(-5\/2)*h assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = c + 888, 3*t = -3*c + 811 - 3445. Let o = c + 1990. Let s = o + -152. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11, -1\/10, 1\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(19))**2 - sqrt(19)) + 4 - sqrt(209)\/(1*sqrt(11))) + (((sqrt(95) - sqrt(95)*1)*5)\/sqrt(5))**2 + (1*((sqrt(475) + sqrt(475) + 1)*-6 + 2))**2.\nAnswer: 478*sqrt(19) + 68439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 9783*r**4\/4 + 655*r**2\/2 + 9739. What is the second derivative of p(y) wrt y?\nAnswer: 58698*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1066312, 1066113, 1065916, 1065721, 1065528, 1065337, 1065148?\n\"Answer: a**2 - 202*a + 1066513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38)\/(-4) - 3\/6. Let h(y) = -y**3 + 9*y**2 + 2*y - 13. Let o be h(i). Factor -16*m**4 - 2 - 16*m**2 + 4*m**o + 2 + 0*m + 4*m + 24*m**3.\nAnswer: 4*m*(m - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f**3\/9 - 33496*f**2\/3 - 3484802*f\/9 + 233660\/3 = 0. What is f?\nAnswer: -10014, -35, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 324331391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -4 - (-1 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2470 is divided by 307.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 640*i + 735. Let c(j) = -159*j - 184. Let u(b) = -15*c(b) - 4*n(b). Find the first derivative of u(m) wrt m.\nAnswer: -175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-1))\/(11\/(-242)). Suppose -5*t + 61 = -64. Let z = t + -5. What is the highest common divisor of z and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (176\/(-396))\/((-4)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -619*u**3 - 2*u**2 + 13*u + 36. Let v be z(-5). Let d(o) = -v - 3*o + 77296. Let c(r) = 16*r**2 - 5*r. Calculate c(d(b)).\nAnswer: 144*b**2 + 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2428*a. Let j(i) = 1170*i**2. What is w(j(v))?\nAnswer: -2840760*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 0, 4*b - m - m - 280 = 0. Suppose -5*t + 7 = -2*u + 35, 3*t = -4*u + 56. What is the greatest common divisor of u and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0758 and -5.\nAnswer: -0.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2*p + 1, 269*g - 7*p - 66 = -273*g + 547*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*n + 167*n = -5824 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 327, 0.3, 2\/761.\nAnswer: -1\/6, 2\/761, 0.3, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, c: 7}. What is prob of sequence wwcc?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/151, -0.1, 46\/7, 2\/79, 17 in ascending order.\nAnswer: -0.1, -2\/151, 2\/79, 46\/7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13144276?\nAnswer: 2, 19, 97, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29542961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 + 1185*m**2 + 12139*m - 48307. What is w(-582)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -29, 61, 277, 661, 1255, 2101, 3241?\nAnswer: 4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2614469 smaller than -2614469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153.337563s to days.\nAnswer: 0.0017747403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/40*4 - (2 + 1). Solve k = 7*f - 11*f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -52. Is u < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 507, 1087, 1743, 2481, 3307, 4227, 5247, 6373?\n\"Answer: t**3 + 32*t**2 + 477*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 902 and 30206.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c - 11a?\nAnswer: -ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142\/710*0\/(-1) - (9 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - -8459037264?\nAnswer: 8459037318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16\/24*(-18)\/((-18)\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.4. Let g = 0.17 + -0.27. Let k = g - b. Put 1, k, 1\/4 in decreasing order.\nAnswer: 1, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -820 (base 10) to base 11.\nAnswer: -686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 967411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -116667 divided by -4023?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 35685462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from fqqfqqqfqqffqqfqfqq.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01918 to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -230 + 168 + 0 + 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132.1 + 608.7063.\nAnswer: 476.6063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 26. Suppose 0 = -r + 4*r + 3*i - 822, -n = 2*i. Is (-8)\/28 - r\/(-21) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33270+-42.68\nAnswer: 33227.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12778 is divided by 6385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*s - 13293 - 4820 = 0, -3*n = s - 18097. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*z + 79*z + 87*z + 80*z - 444*z + 90*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2567500 to the nearest 10000.\nAnswer: -2570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2 and -53\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4730822 from 455.\nAnswer: 4731277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 1. Let g(k) = -1671*k**2 - 19*k + 5. Let b(f) = g(f) + 6*t(f). Find the second derivative of b(z) wrt z.\nAnswer: -3354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/100 and 526433\/62700 - 11 - (-24)\/9.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(17) - -4*sqrt(34)\/sqrt(2) - (-4 + 1*sqrt(17)))*-4*4)**2.\nAnswer: 73728*sqrt(17) + 663548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/56896845 and 68\/4527.\nAnswer: 170690535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than or equal to 158\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2 + 5952*a - 741028 = 0. What is a?\nAnswer: -6074, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**2\/2 + k + 1183. Let y be (-3 + 2 - -2) + -1. Calculate x(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -3*v - 288. Suppose 0 = -4*d - 2*d + v. Calculate the highest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 957, 3183, 7513, 14649, 25293, 40147?\nAnswer: 59913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 66071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 869\/632*-136 + 89?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1420 - 1417. Suppose 13 = -5*m - 52. Let z = m + 13. Solve -5*g - x*d + 4 = z, 4*g - 2*d - 16 = 2*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206*j**2*p**3*r - 2*j**2*p**2 - j*p**2*r**2 - 2*p**3 - 2*p with respect to r.\nAnswer: 206*j**2*p**3 - 2*j*p**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i**2 + 54*i - 11. Let w(n) = -9*n + 2. Let x(j) = 6*w(j) + y(j). Suppose 2*c = 5*g - 3, 0 = 4*g + 3*c - 4 - 3. What is x(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6881702561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-38 + 34)*(-538)\/4.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcru when four letters picked without replacement from onuuorocunoncrnnn?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*l - 2*l - 35. Solve l*o = 15 - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Let u be 1 + y - (-2 + 1). Suppose 12 = 5*g + 2. Is g at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(325) + -1 + sqrt(325))*-6 + 2*-1*-2*sqrt(325) + -2.\nAnswer: -40*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, i: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 7*v + 2. Let k = -98 + 103. Calculate f(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3847*y**2 + 6043*y**2 - 3132*y**2 + (0 - 3 + 1)*(y**2 - 4*y**2 + 2*y**2) to the form r*y + w + u*y**2 and give u.\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvvaeannveannaahaa. What is prob of picking 1 e and 3 n?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k**2 + k + 51. Let p be d(0). What is the highest common divisor of 68 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -806 divided by -3?\nAnswer: 806\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6513052.2999955 - 6513055. Let v = 2.7 + f. Round v to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4012635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q + 78. Determine m(-26).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7571356 - -12?\nAnswer: 7571370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 3*i - 28. Let r be c(-4). Suppose -3*v + 870 = z, -4*v = -2*v + 2. Suppose -9*x = -r*x - z. What are the prime factors of x?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6787 is divided by 261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y + 2373 = 59*y. Suppose o + 3*q - 363 = 6*q, o = -5*q + y. Is 59 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 15, 5*j - 20*n + 25*n = -35 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1014948 divided by 338316\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:31 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, g: 7}. Give prob of picking 2 g and 1 q.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3000) - 2*sqrt(3000))*1)\/((sqrt(110)*-1*4 - sqrt(110))\/sqrt(11))*5.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866522 is divided by 32092.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Let v(a) be the first derivative of a**6\/180 + 2*a**3 - 5. Let x(f) be the third derivative of v(f). What is x(o(h))?\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 823, 1854, 3297?\nAnswer: 5152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 1\/6*x**6 + 0*x**5 + 0 + 0*x**4 + 4*x - 3\/2*x**2 + 0*x**3. Find the first derivative of u(z) wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 248\/(-186)*(-2 + (-295)\/(-20))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12 = -3*o. Is o\/8 + 1035\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -388.28.\nAnswer: -385.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81.686 - -11.686. What is the closest to 3\/10 in -4, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 254 + -257. Let c(f) = 2*f**3 + 9*f**2 - 3*f + 5. Let u(x) = -x**3 - 5*x**2 + 2*x - 3. Determine i*c(b) - 5*u(b).\nAnswer: -b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxbb when four letters picked without replacement from {b: 3, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = -69. Let s = 18 - -8. Let k = q + s. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -39*d**3 - 8*d**2 - 14*d - 9. Let l be j(-1). Solve -l*s = -30*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (-101 + 76)) + (-3 + 3 - -110).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 223, 930, 2111, 3772, 5919, 8558?\n\"Answer: g**3 + 231*g**2 + 7*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 3*s - 8, -227*u + 230*u = 3*s - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(14)\/(sqrt(7) + (sqrt(7) - (sqrt(847) + (sqrt(847) - (sqrt(847) - 2*sqrt(847)))))) - (sqrt(144)*1)\/((sqrt(32)\/sqrt(4))\/sqrt(4)))**2.\nAnswer: -1870*sqrt(2)\/31 + 93963\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6122706 or 6122705?\nAnswer: 6122705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*sqrt(110)\/(sqrt(10)*-1) + -3).\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + 1 + 4 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -11*f - 650. Let w be (-9)\/6 - f\/(-10). Suppose 0 = v - x + 5, -5*x + 21 + 2 = -4*v. Sort 5, v, w.\nAnswer: w, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21414922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55\/16 - 339\/80. Let j = -0.06 - -3.06. Let m = 1.09 - 0.09. What is the nearest to m in 0, r, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5 + -7)*898\/(-4) is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 0. Let m = 577 + -586.18. Let p = m + s. What is p rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850700063?\nAnswer: 263, 3234601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36264001*a**2*p + a*p + 89521*a - 2*p - 77 wrt a?\nAnswer: -72528002*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/59 + 307\/354. Let d = 1.53 + 52.47. Let t = d - 56. Put t, m, 0 in decreasing order.\nAnswer: m, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114400 (base 8) to base 10.\nAnswer: -39168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55573 or -55569?\nAnswer: -55573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*o - o - 9, 45 = 3*c + 3*o. Solve -5*u = 2 - c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 14*i + 54. What is the hundreds digit of ((-4)\/i)\/((-22130)\/3162 + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (19 - -8 - 19) - (-48 - -43)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -4\/3*y**3 - 3*y**2 - 49 - 4*y + 1\/4*y**4. What is m(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 2:31 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 5*j + 3. Let r be x(-5). Suppose 8 = h - 4*t, r*h + 29 = -2*h - 3*t. Calculate the common denominator of 3 - h*2\/(-5) and -85\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2445 - -194. Let t = -1742 + l. List the prime factors of t.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*m - 599891 = 91485. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8807\/15 - -587. What is the common denominator of f and 41\/17?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 25, 15, -11, -59, -135, -245, -395?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 2*q**2 - 8*q**2)*(4 + 4 - 5)*(6*q**2 + 6*q**2 + 11*q**2).\nAnswer: -483*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 27 = -7. What is the first derivative of -8*s**v + 2*s**4 - 15 + 7 + 6 wrt s?\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3460 (b) -1\/5 (c) -22\/15 (d) 4\/7 (e) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (4\/2 - 0). Find the third derivative of p**2 - 6*p**4 + p**2 + 0*p**2 + 2*p**d wrt p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*m = -33*m + 187 + 1043 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 29. Calculate g(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 17*w - 158. What is the units digit of t(29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1229182 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l - 2. Let x = 0.06 + 1.94. Let w = 62 - 65. Which is the nearest to x? (a) w (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217654.701 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + w - 314, 21*w = 5*x + 19*w - 505. Calculate the remainder when 407 is divided by x.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32477.38ms to seconds.\nAnswer: 32.47738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3.07. Let p = r - -0.13. Which is the third smallest value? (a) 2 (b) p (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3447 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.002 + -5.398. Let r = -0.2 + 5.2. Let l = d + r. What is the closest to -1 in -1, l, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ltyfdds.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 98\/(-7)*2\/(-7). Suppose -1973 = 5*k - t*i + 33511, -2*k - 5*i = 14220. Round k to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1031 - 561. Let y = 130 + w. What is y rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 56*w**2 + 98*w - 156.\nAnswer: 2*(w - 1)*(w + 3)*(w + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3*z**3 + 13*a**3*z**2 + 2*a**3 + a**2*z**2 - 3*z**3 + 171*z wrt a.\nAnswer: 24*z**3 + 78*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 - 20. Calculate the remainder when o is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5\/11 - 4*q**4\/11 + 8*q**3\/11 + 16*q**2\/11.\nAnswer: -2*q**2*(q - 2)*(q + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-86416)\/(-792) + 1 + 4\/(-6). Let j be 874\/8 - 1\/4. Let r = j - y. Find the common denominator of 45\/17 and r.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**2 + 3167*m - 13461. What is g(-356)?\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/16)\/(1\/4). What is the closest to -1\/5 in 0, 0.11, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55.82959l?\nAnswer: 55829.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -796445739 and 29731.\nAnswer: -796416008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 1422149392009.\nAnswer: 1422149392004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 1232*q**2 + 51090*q - 153. Give v(-655).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 - 56*w**2 - 5*w - 8. Give j(-14).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 507441539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5094 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w - 315709 = -7*w - w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1299*w**4 + 5*w**3 + 606*w**2 - 8*w + 2?\nAnswer: -31176*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -2 (c) 10806\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c - 41*c + 60 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-8*j + 5*j - 9*j).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2791, 2789, 2787, 2785, 2783, 2781?\n\"Answer: -2*m + 2793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003656799 to seven decimal places.\nAnswer: -0.0003657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/9 + 653*a**2\/9 - 40040*a\/3 + 546884.\nAnswer: (a - 78)**2*(a + 809)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 54*z - 55*z = -327, 120*g - 118*g - 3*z = -57 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*g + 13, -4 = 5*g + 6. Solve o*k = -0*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/4, -2, 2.1, -3\/2, 3\/7?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (41 - (-8 + 13 + -1))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 864\/64*12\/162?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 5 - 1 - 1. Let m(u) = 214*u**3 + u**2. Let j be m(f). Let d = j - -42. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:25 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 divided by 5?\nAnswer: 173\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**2 - 6*n**2 + 2*n**2)*(n + 2*n - n) - 6*n**3 - 6*n**3 + 23*n**3 in the form o + t*n**3 + u*n**2 + s*n and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u\/(u**(2\/7)*u)*u)\/u**(-1))**(-23\/2)*(u**(-1\/2)*u\/(u**6*u))\/(u\/u**(2\/9)*u**(-3\/7)) assuming u is positive.\nAnswer: u**(-3847\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5148*b**3 - 2393*b**3 - 2748*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/7*(-42)\/12. Sort t, -10.2, 1\/2 in decreasing order.\nAnswer: t, 1\/2, -10.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2275*y = 327*y + 39030 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, e: 4, n: 2}. What is prob of sequence nn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545.515 rounded to the nearest 10?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27034397 to the power of 1\/2, to the nearest integer?\nAnswer: 5199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/(-75) + (-5)\/(-15). Let q = 12\/25 - z. Is q > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29695.21 to the nearest ten.\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 2*s + 0*s**3 + 0 + 1\/12*s**4 + 0*s**2. Factor v(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 899 = 4241. Suppose -l = -a + r - 2*r, r + 567 = a. Suppose -a - 470 = -6*p. List the prime factors of p.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 - 58*r**2 + 43*r - 35. Calculate the remainder when y(-30) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46462 = -210*x - 42052 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -886449371 and -0.0361.\nAnswer: -886449371.0361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -149, 5, -11.\nAnswer: -149, -11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5205*g**2 + 46900*g + 486. Calculate c(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v = 23315 + 17363. Is v a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14498 - 3333 + 7112)*(1 - 3*j - 1) to the form s*j + t and give s.\nAnswer: 32157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 13512\/2655 - (-6)\/(-10). Let s = 4\/177 + i. Calculate the common denominator of s and -19\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85522 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -563761 and 0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 2, -38, -67845, 4 in increasing order.\nAnswer: -67845, -38, -3, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*w**2 + 84 + 388*w**2 - 210 - 2*w - 222 wrt w.\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 100\/(1 + (-4)\/5). Calculate the greatest common divisor of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (8\/7)\/((-6)\/(-21))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -38*f + 23 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m + 4. Let h(u) = 5*u + 45. Let z(o) = 3*o + 6. Let k(i) = -h(i) + 6*z(i). Calculate -2*k(v) - 5*r(v).\nAnswer: 9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**13*n**(-9\/7))**22 assuming n is positive.\nAnswer: n**(1804\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**5\/5 + l**4\/4 + l**3 - 5*l**2\/2 + 2*l + 14. Find i, given that t(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*i - 85*i + 32 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 - 3 + y**3 - 3*y**2 + 0 in the form n*y**3 + i*y**2 + x*y + c and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 3. Let f be z(8). Suppose -f*w + x = -263, -2*w = 5*x - 10 - 79. Suppose -2*d = -d - 2, -w = -2*u + 2*d. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 77? (a) 0.2 (b) 0.1 (c) -19 (d) -2.21 (e) 3\/4 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -80, 1248, 0.1?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v**2 + 1 - 2*v**3 + v**3 + 10 + 1 - 7*v. What is r(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-2)\/(-5)*-1. Let g be (-1)\/((v\/13)\/2). Let j(d) = -2*d + 51. Let o be j(24). Solve g = o*x - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/10 - (12\/10)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 13004*f - 468139. Give y(36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 215755 + 183?\nAnswer: 216048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13239 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: What is 311 (base 13) in base 3?\nAnswer: 201022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 7) in base 4?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2720804574475 and 0.053.\nAnswer: -2720804574474.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3762 and 513?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w - 2\/5*w**7 - 119*w**2 + 0*w**6 + 1\/30*w**5 + 0 - 3*w**3 + 0*w**4. Find the third derivative of u(l) wrt l.\nAnswer: -2016*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 600\/36*(8 + (-204)\/30)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 60*f + 97. Let b = 52 + -50. Let o(u) = 15*u + 24. Let x(h) = b*y(h) - 9*o(h). What is the derivative of x(g) wrt g?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i\/i**8*i)\/i*i)\/i**(-16)*i**(-7)*i*i\/(i\/(i\/((i\/i**16)\/i))))**(3\/2) assuming i is positive.\nAnswer: i**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 2*(sqrt(152)*-2 + sqrt(152)) + sqrt(152) + sqrt(152))\/(sqrt(8) + 1*sqrt(1152)).\nAnswer: sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 46 + 8*q**2 - 27 - 26 - 10 to s*q**2 + j*q + o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(56)\/(sqrt(12)\/sqrt(6)))\/(sqrt(4) + sqrt(24)\/(sqrt(36)\/sqrt(6))).\nAnswer: sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**2 - 3*t**2 + 4*t**2)*(4 - 4 + 2*t**2) - 4*t**4 + 0*t**4 - 2*t**4 to u*t + g*t**2 + p*t**3 + k + h*t**4 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1 (b) 0.4 (c) -23.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*b - 207*b - 85*b = 31*b - 27738 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -2*u, 12 = -q + 4*q. Which is bigger: u or 2\/781?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 2. Let h(n) = -2*n - 9. Let s be h(-10). What is the units digit of g(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/6 + 5*y + 27. Let q(z) = 26*z**2. Calculate b(q(f)).\nAnswer: 1352*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*n**3 + 10*n**3 + 3*n**2 - n**2 wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.056, 2, -1\/11?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/6 - j**3\/2 - j**2\/2 + 7*j\/6 + 1 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 + 1.3. What is the second biggest value in -14, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7. Let d(x) = -47*x - 44. Determine -d(c) + 6*h(c).\nAnswer: 47*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34106, 34129, 34152, 34175, 34198?\n\"Answer: 23*r + 34083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-1*(152 + -156). Put -56, 2, -4, j in decreasing order.\nAnswer: j, 2, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4017067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3044 - -1114100?\nAnswer: 1120144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-7) - (-13)\/(1092\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80215925 rounded to four dps?\nAnswer: 0.8022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 7 - 4*f**2 - 22.\nAnswer: -4*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f + 5 - 5)*(0*f**3 + 2*f**3 - 3*f**3) + (-3 - 2*f**2 + 3)*(2*f**2 + 0 + 0) in the form n*f**3 + q + y*f + c*f**4 + i*f**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - -3. Let c = -9.16 + -2.14. Let l = c + z. What is the closest to 1 in l, 2\/7, 1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**1\/(v\/v**7) assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103? (a) -2\/19 (b) -3 (c) 2 (d) -816 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 15 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9320*k - 18678*k - 828 = -9335*k for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 20. Suppose h = -b*h + 156. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112902493\/10825086 + 10\/76233. Let n = 5\/71 - f. What is z in -3*z**2 - 15\/2*z**4 + 0 + 0*z + n*z**3 = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**3 - 2*o**2 + 6*o. Let q(l) = 12*l**3 - 3*l**2 + 13*l. Determine -13*i(v) + 6*q(v).\nAnswer: -6*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -0.72 (c) 2\/17 (d) -2 (e) 5 (f) 0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113120300 divided by -5953700.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 916, 943, -1 in ascending order.\nAnswer: -1, 916, 943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 59*y**2 + 754*y - 14. What is the remainder when 1122 is divided by a(-40)?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -376 + 4?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 32*r = 74*r - 3658 for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 31805.\nAnswer: -2226.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1911 divided by -1911?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 11:52 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10941315 is divided by 2150.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011 - -12001221?\nAnswer: 12020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3))**(-3\/2))**(-2\/29)*(r*((r\/(r**(-2\/3)\/r*r*r))\/r)\/r)**(-1\/38)*(r**(1\/5)\/r)\/(r**(-5\/4)\/r) assuming r is positive.\nAnswer: r**(37967\/33060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = 0, -h + 2*a - 12 = 12. Does 8 divide -3 + (3 - 5 - h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 774 - 493. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1132, 2\/11, -1\/4?\nAnswer: 1132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 183391555 to the power of 1\/2, to the nearest integer?\nAnswer: 13542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c = 60. Suppose -4*j + c = -0*j. Suppose -w - 2*w = 0. Solve 5*d - j*l - 17 = 0, w*l + 14 = 4*d - 2*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.049, 0.2, -1379 in decreasing order.\nAnswer: 0.2, 0.049, -5, -1379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - (4 + -26 + 16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 80\/13 - (-4)\/(-26). Suppose 40 + o = 2*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 39 = -11*b. Let p(s) be the second derivative of 3*s**2 - 2*s**2 + 557*s**5 - b*s - 559*s**5. Differentiate p(w) with respect to w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1094715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*p + 8*p + 2*p**3 + 20*p + 126.\nAnswer: 2*p**3 + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-3)\/(-12)*(-2)\/81. Let d = x - 250\/567. Put d, 0.4, 1, 2\/27 in ascending order.\nAnswer: d, 2\/27, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 371 = 3*l + o, -4*l + 757 = -o. Let d = l + -73. List the prime factors of d.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 + 10*o + 8. Let m(q) be the third derivative of -1\/24*q**4 + 0 - 1\/6*q**3 + 0*q - 8*q**2 - 1\/60*q**5. Give 8*m(x) + z(x).\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1, 0, 70, -128\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/(1\/12). Let v(f) = f + 14. Calculate the remainder when 22 is divided by v(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000109941666 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2))**2\/(f*f\/f**7*f\/f**4))**(5\/9))**29 assuming f is positive.\nAnswer: f**(580\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (416\/3744)\/((-56)\/(-4662))?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.055? (a) 1\/12 (b) 2\/9 (c) 3\/2 (d) -7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6930 - 25710 = -3*t. Let o be (2\/5)\/(17\/t). Let l be (-2 - -50)*2\/3. Calculate the highest common factor of l and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4 - 2)*165\/(-75)*-10.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23320141 to 4 decimal places.\nAnswer: 0.2332","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 205 + 27 + 8 = -12*h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4500 is divided by 206?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83.31 + 80.31. Let k = 70 - 487\/7. Which is the nearest to k? (a) -4 (b) y (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1017 - 1015. Solve -4*h + m = -a, -2*a + 4 + 1 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2591764 divided by -7\nAnswer: -370252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 72*d - 1. Let b(y) = 3*y**2. Give l(b(v)).\nAnswer: 216*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 = 3*k - 0*k, 6 = 3*k - 3*a. Suppose 4*o = -k*o + 21. Let c(r) = -r**3 + 4*r**2 - 2*r + 4. Let b be c(o). Sort 0.4, 3\/7, b.\nAnswer: 0.4, 3\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20348143 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**3 - 11*v**2 - 109. Let h(y) = 14*y**3 + 34*y**2 + 329. Let s(n) = 4*h(n) + 11*z(n). Find the first derivative of s(x) wrt x.\nAnswer: 3*x**2 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 s, and 1 k when three letters picked without replacement from {k: 1, j: 1, i: 1, y: 1, s: 2, e: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2244, -49, 2 in decreasing order.\nAnswer: 2, -49, -2244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 13) to base 4\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*x + m - 6, 4*m = -5*x - 22. Let y(v) = 25 - 8 - 17 - 27*v**3 - 2*v. What is the units digit of y(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (137\/(-685))\/(1\/5)*21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*v + 180*v - 51552 = 142*v for v.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11200110 (base 3) in base 9?\nAnswer: 4613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 252357693.8 to the nearest ten thousand.\nAnswer: 252360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -514 divided by -7?\nAnswer: 514\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 15) to base 12.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(240) - -4*(sqrt(240) + 1*sqrt(240))))\/(-6*(sqrt(45) + sqrt(720))))**2 + -1.\nAnswer: 167\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1 + 0)*-4. Suppose 5*v + f - 18 = 0, 5*v - k*f - 3 = -0*v. Differentiate -3*d + 3*d - 2*d**v - 2 - 1 with respect to d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s + 16*s = -95200. What are the prime factors of s?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -34. Let q be ((-2)\/3)\/((-1)\/12). Let x be 4*(t + 10\/q). Let s(h) = -4*h - 1. Let b(m) = -7*m - 1. Give x*s(y) - 3*b(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 3*m**2 + 4*m + 1. Let g be q(3). Let t = -93\/2 + 17. Let w = g + t. Calculate the common denominator of w and 32\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -918 + 30962*c - 30963*c + 187.\nAnswer: -c - 731","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/15 - -4)\/(4\/10). Suppose 1 = -g*v + 149. What are the prime factors of -2 + (-4)\/12*-3 + v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(2624\/(-2460)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/8 and (321 - 323) + (-334)\/(-36).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n - 16 = 0. Let t(q) = q**3 - 3*q**2 - 3*q + 6. Let v be t(n). Let p(k) = k**2 - 11*k + 3. Let c be p(v). Is c at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-2)\/sqrt(5) + (sqrt(13) + 2)*-6 - (1 + -1*sqrt(1300)).\nAnswer: -13 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 462984613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -11, -0.4, -4\/7, 19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 21 + 5*t - 4*t - 44 + 15 + 20. Let r(b) = 2*b + 18. What is -8*g(d) + 5*r(d)?\nAnswer: 2*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 + (-2 - 11) - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0318 in 2\/5, 5, 0.23, 0.12, -0.3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 27.32445?\nAnswer: 109.2978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26225174*d*t**4 - 332*d*t**2 - d*t - 14*d + t**2 + 29*t wrt t?\nAnswer: -629404176*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 257 + -169. Let y = x + -88.0000087. What is y rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251828?\nAnswer: 2, 157, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/12252142 and 13\/9?\nAnswer: 110269278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23 + -22 - (-442)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4 - 3*n**3 + 14*n**2 + 48*n + 32 = 0.\nAnswer: -4, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 43*k**2 - 85*k**2 + 3*k**4 + 23*k**2 - 1 in the form a*k + p*k**2 + y*k**4 + w*k**3 + m and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115 - -122) + (-11 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:03 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31970051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 215051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let z(l) = l**3 - 9*l**2 + 12*l + 16. Let k be z(7). Let u be (k\/(-21))\/(4\/6). Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 4. Let f(y) = y**3 + 2*y**2 + 4*y + 3. Let r be f(-2). Let j be c(r). Calculate the remainder when 35 is divided by j\/3 + 70\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -22*p + 70. Determine h(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gigiggig. Give prob of sequence iii.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -75629860752\nAnswer: -75629860753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -38*i. Let m be p(1). Let v = m + 42. What is the highest common divisor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 - 77. Let q(x) = -x**3 + 8*x**2 + 5*x - 42. Let v be q(j). Let f be 2\/30*(-3)\/2. What is the nearest to v in -1, f, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1, 26, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2025\/3600*10*(-6)\/(-135)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 4\/3)\/(3\/(-9)). Suppose 0 = 9*g - 15 - 12. Suppose -o - 3 = f + 1, -f - 4 = -g*o. Put r, o, -9 in ascending order.\nAnswer: -9, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/(-6)*78\/4. Suppose 2*d - r = 5*b, 2*d + 4*b - 41 = 41. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + q + 12587. Let k(j) = -2*j - 8. What is k(t(o))?\nAnswer: -6*o**2 - 2*o - 25182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a76a (base 11) in base 5?\nAnswer: -23021231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h - 17*h + 10*h.\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -5 - (-5 - (4 - (0 + 11)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2947500.24 to the nearest 1000.\nAnswer: -2948000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -974 + 218 = 3*k. Let o be 1\/((-1)\/55*35\/k). What is the highest common factor of 44 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - (0 - (6 - 3)). Let q(j) = j**2 + 3*j - 1. Let w(x) = 11*x**3 + x - 1. What is the remainder when w(1) is divided by q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-78)\/65)\/(4\/(-130)). Suppose 4*t - 53 = -3*w, 0 = 5*t + 5*w - 21 - m. Calculate the highest common factor of t and 1411.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666214578 to the power of 1\/2, to the nearest integer?\nAnswer: 25811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12186 - -4119. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274638 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 20 + -30 + 9 + (-1 - -13)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 48?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 1, -3, 27 in ascending order.\nAnswer: -25, -3, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 18 - 48 = 0. Let w = 5 + n. Let d(y) = y**3 - 10*y**2 - 9*y - 17. Let q be d(w). Solve 0 = -q*s + 2 - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1 - 0) + (-2 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - 2*o**3 - 2*o**3)*(-2 - 1 + 0)*(0*o - 4*o + o).\nAnswer: -45*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, -6, -1, 10, 27, 50, 79?\n\"Answer: 3*x**2 - 10*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*x + 41, -5*j + 2 = -2*j - 2*x. Suppose -h + 635 = -j*n, -4*h + 4*n + 2109 + 419 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-15*(-6)\/(-54)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*k - 4*k**2 + 177*k - 509*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -94, -211, -328, -445?\n\"Answer: -117*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**3*v + 1802*h**3 - 1224*v**2 wrt v.\nAnswer: 2*h**3 - 2448*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (442\/5)\/(1\/(-5)). Let n be y\/(-5) + (-14)\/35. Let f(o) = -o**3 + o + 8. Let q be f(0). What is the greatest common factor of n and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 1:53 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*x + 3593, 36*x - 32*x = -2*m + 1458. What is the highest common divisor of m and 515?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6961\/3 or -2320?\nAnswer: -2320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269486 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 364199, 364089, 363979, 363869?\n\"Answer: -110*q + 364309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 3162075?\nAnswer: 3162075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*r**4 - 57*r**4 - 28*r**4)*(3143 - 3143 + 140*r).\nAnswer: -5180*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, -3\/4, 5\/12?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -18. Suppose 29 = -0*c - c. Let x = c - -41. Calculate the remainder when x is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 152858, 152866, 152876, 152888?\n\"Answer: s**2 + 5*s + 152852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 31 = -2*g, -4*u + 20 = 2*g + 4. What is the highest common divisor of g and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5\/5 - 16*z**4 + 392*z**3\/5 + 7072*z**2\/5 + 20864*z\/5 + 3584 = 0.\nAnswer: -4, -2, 20, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/(-2)*(-9 - (-408)\/28) and -12 + (-1)\/5*10\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a**3 - a**2 - 6*a + 6. Let v(k) be the first derivative of -3*k**4\/2 - k**3\/3 - 7*k**2\/2 + 7*k + 818. Calculate -7*c(u) + 6*v(u).\nAnswer: 6*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 0 - 1 + 18 - 3*w. What are the prime factors of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/4 and (-6)\/21 - 794\/308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161104510 by -16110451.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 110 + 5)*(-i + 7*i + 5*i)*(31 - i**3 - i**2 - 31)*(-i - i + i).\nAnswer: -1584*i**5 - 1584*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5613*z**2 - 11*z - 166. Let n be k(7). Round n to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3 - 6409\/3045) + ((-2489)\/(-95) - 28)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4367 - 4366.7. Which is the closest to 3? (a) -4 (b) 2\/7 (c) x (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*o - 257 + 34*o - 248*o.\nAnswer: -317*o - 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 + 3*h + 7. Let t(s) = 7*s**2 - 7*s - 12. Suppose -25*u - 100 = -5*u. Let r(b) = u*w(b) - 3*t(b). Give r(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 30190016227.63.\nAnswer: -30190016227.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 227128 and 121040?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/24 and -59\/157782.\nAnswer: 631128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 217524, 4 in ascending order.\nAnswer: -2, 4, 217524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 95048.7 years?\nAnswer: 9504.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.0065.\nAnswer: -0.0325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -61846 (b) -2\/15 (c) 1\/10 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q - 38. Let v be (-5 + 66\/12)*-1*10. Let f be r(v). Suppose 5*s - 12 = 2*s. Do f and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 + 22*q - 19. Determine p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9166*l**2*s**3 - 124969*l**2 - 3*l - 9*s wrt s.\nAnswer: -27498*l**2*s**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -3*p**5\/40 + 3*p**3\/4 - 3*p**2\/2 + 7*p - 56. Let x(w) be the first derivative of l(w). Find o, given that x(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -5, -1.8, 0.1201?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053 is divided by 100.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*y + 1, 4*y + 7 = -4*o - 5. Let d(j) = -j**3 + 3. Let m be d(0). Sort m, y, -3 in ascending order.\nAnswer: -3, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*p - 2*n, 72*n = -3*p + 68*n + 18 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2 + 1 - 13*i + 1 + 3. Is s(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f - 19*f = -5*o + 25, 2*f - 11 = -3*o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 41 = 42*t + 105 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/(sqrt(72) + (sqrt(72) - 3*sqrt(72))))\/(-1*sqrt(75)*3).\nAnswer: sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15133301 by -9.\nAnswer: -15133301\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0358 + -0.5358. Let f = 0.11 - -2.89. What is the nearest to 0 in f, 5\/8, -3\/7, m?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/15))**(4\/13)\/((q*q\/q**(-12)*q*q*q*q)\/q*q**(-2\/7)))**(-13) assuming q is positive.\nAnswer: q**(22759\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2011 is divided by 668.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.892 (b) -0.01 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*c*q**3 - 3*c + 2*q**3 + 29 wrt q.\nAnswer: 66*c*q**2 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -2*sqrt(99) - sqrt(99))**2 + -3.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 45. Suppose 3*q - 60 = 3*p + 6, -5*q = -4*p - 108. Let w be n(q). Put -10, w, -3 in ascending order.\nAnswer: -10, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 72*p - 16. Let r(n) = -23*n + 5. Let z(u) = -2*b(u) - 7*r(u). Suppose 4*x - 2*x = -5*w - 1, 3*w + 1 = -x. Calculate z(x).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 450 + 55a?\nAnswer: 9aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.381 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -58, -62, -68?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 10*k**2 + 10*k**2 - 22*k**2 + 11*k**2 - 96*k**2 + 82*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -47, -84, -135, -206, -303, -432, -599, -810?\n\"Answer: -q**3 - q**2 - 27*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 25*n**2 + 79*n - 105.\nAnswer: (n - 1)*(n + 5)*(n + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28473767.\nAnswer: 7, 131, 31051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/40 and -61\/188.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/16054 and -49\/10.\nAnswer: 80270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 11. Let x be f(8). Suppose -7*i + 4 = -x*i. Let a(r) = -i*r + 0*r + 11 + 3*r - 3. Determine a(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247931 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 863, 5537, 17803, 41459, 80303, 138133, 218747, 325943?\n\"Answer: 633*a**3 - 2*a**2 + 249*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(8\/5))**(8\/5)*(w\/w**(2\/43))**48 assuming w is positive.\nAnswer: w**(51952\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 2378528, 4 in decreasing order.\nAnswer: 2378528, 4, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 16*x + 7. Let d(u) = -20894*u + 10457*u + 10445*u + 4. Calculate -5*d(w) + 3*s(w).\nAnswer: 8*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 518 and 1232.\nAnswer: 45584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 + 102\/18. Suppose -3*b = 9 + s. What is the closest to -4 in b, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110*w**2 - 4*w - 891.\nAnswer: -220*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-245)\/196)\/(160\/(-5120)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 1. Let y(v) = -v**2 + 4*v + 2. Let x be (-11 + 9)\/(5\/(-10)). Suppose -2*w = -6, -2 = -x*j + 2*w - 4. Determine j*y(c) - 3*d(c).\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 132375 - 3?\nAnswer: 132372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2508*j - 206*j - 561*j = -4985*j - 766764 for j.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 32*c**2 + c - 43. Is t(-31) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3779088?\nAnswer: 2, 3, 131, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34230798146 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866 - 2085 = 670*v + 9779 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*k**4 - 121*k**3 - 436*k**2 + 3863075*k wrt k.\nAnswer: 720*k**2 - 726*k - 872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*g - 41, 2*g + 3*h + 3 = 31. Solve 3*t + 32 = g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -4 + (0 + 4)*-2. Let p(y) = 8*y - 8. Let u(k) = -7*k + 8. Let l(m) = z*u(m) - 6*p(m). Calculate l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-8))\/(20\/32)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -58\/7, -3, 4, -1.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 64 = 4*n. Let y = 33 + n. Calculate the remainder when 27 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-220)\/6 + 4\/6. Let x = -15 - o. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + i + 19, -o + 8 = i. Let s(r) = o*r + 4*r**3 - 13*r + 3 + 0 + 2*r**3 + 3*r**2. Let n(c) = 11*c**3 + 5*c**2 - 7*c + 5. What is 4*n(w) - 7*s(w)?\nAnswer: 2*w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(832)*6 + sqrt(832)*-2 + -2)**2.\nAnswer: -704*sqrt(13) + 402692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 + 249. What is the remainder when q is divided by ((-2)\/5)\/((-2)\/170)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*2\/4*-4. Suppose 5*b - 4 = k*r + 15, -b + 4*r + 7 = 0. Let a = 5 - b. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 47, 37, -843 in descending order.\nAnswer: 47, 37, 2, -843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1252165, 2504335, 3756505, 5008675, 6260845, 7513015?\n\"Answer: 1252170*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {i: 4, n: 7, u: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(1539))**2 + 4 + sqrt(1539) + -5.\nAnswer: 45*sqrt(19) + 1547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*(-612)\/(-918).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+5694\nAnswer: 5694.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2798*j + 2093*j**4 + 2798*j + (2 - 2 + j**2)*(0*j - j**2 + 0*j) to the form i*j**2 + z*j**4 + m*j + c + g*j**3 and give z.\nAnswer: 2092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4\/7*b**2 - 24\/7 + 4\/7*b = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 10731 (c) 0 (d) 0.5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 7) in base 16?\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 20*s**2 - 136*s - 35. Calculate r(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:29 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1. Let f(d) = -9*d**2 - 2. Give -f(p) + 2*h(p).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.531, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3 + 3)*(-3 + 4 - 3) + 3*m + 6*m - m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-5))\/((-7)\/((-35)\/(-2))). Solve 10 = y*f - 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = 6. Let j = k + -1. Let t be (43\/(-516))\/((-1)\/1). Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, -12, 3, -5, 1\/2 in decreasing order.\nAnswer: 3, 1\/2, -2\/23, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -73. Let y(k) = 3*k + 5. Let r(s) = -7*s - 11. Calculate t*y(j) - 6*r(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e6d7 - -9d?\nAnswer: -e639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*x**3 - 44\/5*x**2 + 76\/5*x - 36\/5 = 0. What is x?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1*88\/4620?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4\/5 - 97*t**3\/5 - 768*t**2\/5 - 468*t\/5 = 0. What is t?\nAnswer: -6, -2\/3, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -1\/6*p**3 + 0 - 1\/5*p**5 + 0*p**2 - 1\/12*p**4 + 51*p. Let h be m(-1). Solve h = 2*v - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36843 or 36844?\nAnswer: 36844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/60 and 37\/140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**3 - 56*b**2 + 17*b - 15. Calculate s(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 4 + 30. Let f = 26 + -27. Put -6, -7, p, f in increasing order.\nAnswer: -7, -6, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 2*n + 1. Let p(y) = 16*y**3 - 146*y**2 + 16*y + 20. Let o be p(9). Let q(a) = -a - 1. Give o*l(g) + 3*q(g).\nAnswer: -2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 4*v**2 + 8*v**2 + 3*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iffifihjahihh. Give prob of sequence fja.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -20278*x + 141939. Calculate i(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34360 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -73*m**3 - 279. Let t(n) = 8*n**2. Determine t(b(p)).\nAnswer: 383688*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 441 (b) 0.05 (c) -0.1 (d) 2\/3 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4881)\/52064)\/((-6)\/(-8))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kohhwhkkyy. Give prob of picking 1 k and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -74427 and -32533.\nAnswer: -106960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/18 + -4\/9. Suppose -105 = -5*a + 2*p - 7*p, 3*a - 57 = -p. Calculate the common denominator of a and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 25*j + 749. Determine r(-33).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2917, -3058, -3435, -4162, -5353, -7122, -9583, -12850?\nAnswer: -17037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219*h**3 - 17*h + h + 17*h)*(-5 + 1 + 1).\nAnswer: 657*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 3 + 3)*(-7035*m - 9684*m - 324*m) - m**2 - 3*m + 3*m to the form q*m**2 + i + l*m and give q.\nAnswer: -17044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1100*k + 20667. Calculate h(19).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5931 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-4) + (-9)\/12. Suppose -b + 6*b = s. Suppose b = -4*i + 5*i - 20. Calculate the greatest common divisor of i and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1063 + 1?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 not equal to 249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**3 + 17*t**2 - 4*t - 11. Let i be r(-5). Let q = i - -1174. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, b: 11, v: 1, t: 5}. Give prob of picking 1 b, 1 t, and 1 v.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)\/(n**(-6)\/n)*n**3\/(n\/(n\/(n*n**(-2\/17)\/n))) assuming n is positive.\nAnswer: n**(87\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 4. Let s(p) = -p + 3. What is 4*m(r) + 5*s(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23677 and 0.4.\nAnswer: 23677.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-33 - -51) - -17?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 92.5848km?\nAnswer: 92584800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7704 and 34440?\nAnswer: 11055240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46135441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 22 - s**3 + s**3 + 21*s - s**3 - 25*s**2. Let y be 92\/(-4) - 90\/30. Is 19 a factor of p(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 10, -1, -0.5, -2\/3, 0.087?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b8c - 4a?\nAnswer: -1bd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 + 17*o - 1. What is the hundreds digit of l(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 + 74 - (64\/9 - 1)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**2*r + 85*d**2 + 55479*d*r + 2253*d + 48*r + 3 wrt r?\nAnswer: -2*d**2 + 55479*d + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 447509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpdp when four letters picked without replacement from pvpdppppppvddddpd.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -16*f**3 - f**2 + f - 1. What is the units digit of l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -1)\/(0 + -1). Suppose 5*i + w*i = 50. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.123161\nAnswer: 0.0123161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -68323827 divided by -22774609\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430368267.\nAnswer: 3, 7, 41, 191, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 792.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 979 + -951. Let b = 20 + -10. Calculate the remainder when s is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzszmzzzzzsmznnn. Give prob of sequence ssm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**4\/4 - 2*v**3 + v**2 + 4*v - 3. Let x be g(-6). Is (92\/(-6))\/(x\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.94 - 1. What is the nearest to 1 in i, 5, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356685*c**2 - 118734*c**2 - 118977*c**2 - 4*c**3 - 118974*c**2.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291856.\nAnswer: 2, 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*i - 6, 7*h = 10*h - i - 17. Solve 5*m = h*x - 0 - 3, 5 = 5*x - 5*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -1112111?\nAnswer: 1112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*m**4 - 914105*m**3 + 4641901285*m**2 + 2580538205*m - 7221525430 = 0. Calculate m.\nAnswer: -14\/9, 1, 10157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11011111101101000001000 (base 2) to base 5\nAnswer: 3334032222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*v**3 + 12*v + 28*v**3 - 56*v**2 - 12*v**4 + 4*v**4 - 12*v**5 = 0 for v.\nAnswer: -3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13266 by 134.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 14*n = -60. Let q be ((-1)\/(-2))\/(1\/(-14)). Let o = q + n. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 105574 and 77.\nAnswer: 105651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) - (-18 + 2886\/(-91)). Solve 14*a - 34 = b for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*-1*sqrt(17) - sqrt(102)\/((1*sqrt(60))\/sqrt(10)))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 - 16*i**3 - 9*i**2 + 15*i**3 - 3*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4*f + 10, 3*f + 52*l = 54*l + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/3 and 1\/1335.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25107520 = 53*z + 10290843 - 11185282. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1165 by -6.\nAnswer: -1165\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-792)\/(-21) + 1\/((-5)\/(-15)). Let p = n - 1189\/28. What is the nearest to 0 in p, -3, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13637 * -0.87\nAnswer: 0.1186419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -12. Let y = 14 - m. What is the smallest common multiple of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 221*n**3 + 4*n**2 - 4*n + 8. Let j(i) = 1325*i**3 + 25*i**2 - 25*i + 50. Calculate -4*j(l) + 25*y(l).\nAnswer: 225*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 18*d - 6. Let r(n) = -12*n + 4. Let t(h) = -5*f(h) - 8*r(h). Let s be t(3). Suppose -2*u = 2*u - s. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s - j + 499, 2*s = 3*j + 495. Let n = s - 594. List the prime factors of 2*(n\/(-6))\/5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**3 + n**2 + 5*n - 12. Calculate s(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/59)*m*(m\/(m\/m**14))\/m*m*(m*m**5)**(-8) assuming m is positive.\nAnswer: m**(-1949\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16\/20*(-3)\/12*(-20)\/(-50)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1219 + 1227. Suppose -3*x + 4*x - 79 = 0. Suppose d*r - x - 17 = 0. Solve r + 4 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 67. Suppose -2 = 4*g - m. Solve -5*u = -g - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*i + 1281*i - 473*i = 353*i - 12782 for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-84)*(-324)\/(-342))\/(38\/133)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*2\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/5)\/((-2)\/10). Let j = -1 + u. Let f = j + 21. What is the remainder when 22 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 - 5*z - 7. Let i be r(7). Let v = i + -11. What are the prime factors of 4887\/v - (-2)\/5?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j + 2. Let g(v) = 2*v + 2. Let y be g(-2). Let c be m(y). Let r be 64*(-4)\/32*-6. Calculate the highest common divisor of r and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -86, -132, -178, -224, -270?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2002478 = -169*v - 721458. List the prime factors of v.\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/2*-1 + 3. Let w = m + 28. What are the prime factors of (1\/w)\/(8\/(-352))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/7, -2, 33, 0.05, 3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*x + 6200 - 2172 = 0 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/4 - 57*f**2\/4 + 105*f\/4 - 51\/4.\nAnswer: 3*(f - 17)*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-4) + 0)*-24. Let r(w) = 2*w**2 - 9*w. Let b be r(6). Calculate the highest common factor of b and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -546*y**2 - 434*y - 217. Let z(c) = 5*c**2 + 4*c + 2. Let w(g) = 2*l(g) + 217*z(g). Let d(s) = s + 270. Give w(d(p)).\nAnswer: -7*p**2 - 3780*p - 510300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {p: 1, m: 1, y: 1, s: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18010, 17959, 17908, 17857, 17806, 17755?\nAnswer: 17704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 187168560*o - 187168557.\nAnswer: -3*(o - 62389519)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101 - -100?\nAnswer: 10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(312)*1)\/sqrt(6))\/(sqrt(44)\/(sqrt(33)\/sqrt(3)))*-3)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-437507.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldlbldllc. What is prob of picking 2 l?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2600 and 6782945?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 7*t**2 + 2*t + 7. Let b be r(7). Let p be (1\/3)\/(7\/b). Solve 3*q + 3 = 0, 4*q - p + 10 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*j + 12 = 74*j, -c - 3*j = -410212. What is c rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let b = -6 + 15. Suppose -4*v - 8 = -u*n - 30, 0 = 3*v - 3*n - b. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 1:57 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*(-3 - 27\/(-21)). Suppose -4*d - 6 + 38 = 0. Let n be v\/((60\/d)\/(-5)). Solve n - 3 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**4*w**2 - 665730*i**3*w**2 - 2*i**2 + 2*i*w**2 - 2039*i*w - 14*w**2 - 1 wrt i?\nAnswer: 96*i*w**2 - 3994380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*(-3)\/27*-30\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 - (14 + 17 - 259)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13553, -23966, -34383, -44804, -55229, -65658, -76091?\nAnswer: -86528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 41, 103, 199, 335, 517, 751, 1043?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -3 + -16 - (-6 + (15 - 1) + -69)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.6667998 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 53611 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 369972672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 5*n + 26, 14*n = 3*g + 16*n + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 11 + -22 - -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 5\/31 (c) -1\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/366 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, k: 5, l: 1, j: 4}. What is prob of picking 2 k, 1 j, and 1 b?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) -14 (c) 55 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 3:55 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1405*q**2 + q**3 - 7*q**3 + 1381*q**2.\nAnswer: -6*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.9166m in nanometers?\nAnswer: 38916600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 497*d + 17. Suppose -103 = -9*a - 13. Is o(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h*h*h)**(-1\/16)*(h\/h**1)**29 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2) - 0)*(-16644)\/(-438)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3331466*c - 167444.\nAnswer: -3331466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 125739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15632 or -15630?\nAnswer: -15630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -7*x**3\/6 - x. Let r(v) = -7*v. Let t(p) = 2*d(p) - 3*r(p). What is the remainder when t(7) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 3*r + 0*r)*(20 + 15 - 34).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*a**2 + 15148\/3*a + 0 = 0 for a.\nAnswer: -3787, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4162\/17 + 245. Let f = 2622.4 - 2622. Which is the closest to d? (a) -3 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 196*z + 23*z - 4 + 4 in the form g + k*z and give k.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from {z: 1, j: 1, l: 1, p: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182422?\nAnswer: 2, 197, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 3218*x + 2*x**2 - 3*x**4 + 3218*x - 4 to k + n*x**2 + s*x**4 + p*x**3 + h*x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*l**2 + 14*l**2 - 15*l**2 + 22*l**2 to i*l**2 + z + g*l and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -31747.\nAnswer: -4\/31747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/7? (a) 1497 (b) 5 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1306 at most as big as -1305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 8*d**2 + 8*d + 4. Let k(x) = -4*x**3 + 31*x**2 + 31*x + 15. Let w(m) = 2*k(m) - 9*o(m). Let u be w(11). Solve -8 - 12 = u*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.6 - 106.6. Let y = -13929825 + 13929911.000119. Let u = q + y. What is u rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 4. Suppose -4*g - 2*r = -6, 2*g + 7 = 5*g + w*r. Let j = 10 + g. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133739410 - 3*f - f - 133739410.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + -49. Suppose 0 = -4*x + 5*f + c, -5*f + 3*f = x - 5. What is the smallest value in 1\/3, x, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5624 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9710 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = -2*g - 4, 5*g + t = -4. Suppose -h = 3*n - 3*h - 7, g = -5*n - 3*h - 1. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**2 + 380*p + 8 + 0*p**2 + 7 - 38 + 0 wrt p?\nAnswer: 4*p + 380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 + 56*l**2 - 16*l**2 + (148 + 148 - 289)*(-l**2 + 4*l**2 - 4*l**2).\nAnswer: 37*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + 0*d - 44*d**2 + 2*d.\nAnswer: -39*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2110021112 (base 3) to base 7\nAnswer: 260603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3 - 1648*n**2 + 304128*n + 14929920 = 0. What is n?\nAnswer: -40, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -377*y**3 + 4*y**2 - y + 2450.\nAnswer: -2262*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13191 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35898068 less than -0.336?\nAnswer: -35898068.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7747?\nAnswer: 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2392086?\nAnswer: 2, 3, 398681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12230 (base 4) to base 6\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1353 + -835. Let p = u - 517.98. Sort 8\/3, -1, 0.4, p in descending order.\nAnswer: 8\/3, 0.4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 993.963 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = -2*w - 13*w + 429624. What are the prime factors of w?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from 0.518.\nAnswer: -13.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*h + 264*h + 199*h - 552*h + 258*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2471119 is divided by 3160.\nAnswer: 3159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 149, 336, 607, 968, 1425, 1984, 2651?\nAnswer: 3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 6*k**2 - 2*k**2. Let r(f) be the first derivative of 2*f**3\/3 + 22. What is x(r(d))?\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -0.72, -10 in ascending order.\nAnswer: -10, -0.72, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {e: 2, r: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -945 by 5.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**2 - 2*k**3 - 437*k + 78 + 438*k - 2*k**2 + (4*k**2 + 0*k**2 - 6*k**2)*(-1 - 2*k + 1) to m*k**2 + x*k + n*k**3 + l and give l.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(192)*4)\/sqrt(12))\/(sqrt(512)\/sqrt(4) + sqrt(56)\/(sqrt(28)\/sqrt(4))))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 20. Let m = -33 + 36. Suppose -m*o - 68 - 10 = 0. Sort i, o, 4.\nAnswer: o, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1360 by -186.\nAnswer: -680\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13345 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*j - 24, 0 = -4*j + 2*l - 130 + 104 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 2754*x + 1896129.\nAnswer: (x + 1377)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 29*k = -759. What is the second derivative of 12 - 194*s**4 + k*s**2 + 389*s**4 - 193*s**4 - s wrt s?\nAnswer: 24*s**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*y - 5*y - 17*y - 72*y**2 as q*y + i*y**2 + u and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7043 + 0.02.\nAnswer: 7043.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14586, -14290, -13798, -13110, -12226, -11146, -9870?\nAnswer: -8398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**5 + 243*d**2 + 16*d**6 + 12*d**6 - 17*d**6 wrt d?\nAnswer: 1320*d**3 + 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2113914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -2*v - 8, -3*v + 4 = -6*v + 2*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/79 or -1?\nAnswer: -6\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22121220 (base 3) to base 14\nAnswer: -2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -421625*r**5 + r**3 + 2*r**2 - 2238117*r.\nAnswer: -8432500*r**3 + 6*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 6*t = -2*s + 1426, -s = -5*t - 743. Is 718 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4539147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/((-420)\/16)*1\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 3 - 19*s - 5 in the form n*s + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2330123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 8*h**2 + 6*h + 8. Let r be b(7). Suppose -r = -x - 7. Let l(p) = -p**2 - 10*p - 7. Calculate l(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 11250*z - 2048931 + 22*z**2 - 4279194 - 27*z**2 = 0.\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -47*(-11 + (-77 - 5))?\nAnswer: 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4 = -6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1719270*d**2*r**2 + d**2*r - 13*d**2 + 2*d - 193*r - 2 wrt r?\nAnswer: 3438540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4766.\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**4\/12 + 7*f**3\/6 + f**2\/2 + f. Let s be u(7). What is the units digit of s\/3 + 88\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*p - 3*u, -2*u - 4 = -0. Let q be (7 + -8)*(p + -1). Find the second derivative of 2*f + 0*f - 2*f**2 + q - 1 wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 1, t: 3, f: 3, z: 5}. What is prob of sequence zfct?\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3))**(-28)*d**(-2)\/((d\/d**7)\/d) assuming d is positive.\nAnswer: d**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7464\/(-65310)*(75\/(-2))\/(-5)*(-56)\/(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68738546 to the power of 1\/2, to the nearest integer?\nAnswer: 8291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-9 + (14 - (0 + 12) - -23)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 1\/2*c**3 - 3*c**2 + 5\/2*c = 0. What is c?\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 15 + 33 - 35 + 0*c - 8*c. Let b be d(9). Suppose 2*v - 6*m = -3*m + 19, 2*m = -3*v + b. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38165 (base 13) in base 2?\nAnswer: -11001010001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3185 and 91.\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 17 + 3 - (3 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2815952 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/60 + x**4\/24 - 11*x**3\/6 - 50*x. Let r(w) be the second derivative of u(w). Calculate r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 - 37 - (-1 - -9)) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*x - 1066, -o + 176 + 93 = -x. Let p = 264 - o. Solve 0 = b - p*t - 2*t - 9, -27 = -4*b + 5*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 0 + 0*k**3 + 0*k**4 - 52*k**2 - k + 1\/20*k**5. Let h(w) = 19*w**2. Determine m(h(i)).\nAnswer: 1083*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*n - 174 + 195 = 0, 5*n + 35 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 4*f**3 - 2*f**3 - 3*f + 50 - 18*f - 22 as m*f**2 + r*f + j*f**3 + p and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 205 (base 6) to base 13\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30238?\nAnswer: 2, 13, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1374*u - 138932 + 42828 = 52288 for u.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*k = -2*k + 242, -4*u + 440 = 5*k. Suppose u*r - 114*r - 623 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 27913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**3\/3 - 4*m**2 + 24*m - 11. Let x be u(6). What is the highest common divisor of 30 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7106.\nAnswer: 2, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -16*s**2 - 2*s + 12. Let t(r) = r**2 - 1. Calculate -l(d) - 10*t(d).\nAnswer: 6*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56650 is divided by 7749?\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 5:37 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 36.72. Let i = a - 61.72. Let l = -81 - i. Is -1 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2156853 (base 10) to base 14\nAnswer: 40204d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35053 + 35053. Let w(h) = h**2 + 4*h - 17. Give w(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2744 and 466921?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 11*c + 2. Let z be j(11). What is the remainder when (49 - z\/2) + 1 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 4*u + 1 - 3*u - u. Let d(f) = 3*f - 2. Calculate 2*d(g) + 3*o(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102461557*o*y + 750351504*o wrt y.\nAnswer: -102461557*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1177*g**3*u**4 + 948494*g**3*u - g**2*u**2 - 981*u**3 wrt u.\nAnswer: 28248*g**3*u - 5886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.776 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*l + 8159917, -5*c + 2860323 = 2*l - 5299599. Suppose 60*o - 56*o - 16 = 0, -4*o - c = -y. Round y to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1300 (base 9) to base 4\nAnswer: -33030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 - -119. Sort -0.5, r, 1\/8, 3 in ascending order.\nAnswer: -0.5, 1\/8, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -390*o**3 + 6*o**2 + 7. Let p(i) = 390*i**3 - 8*i**2 - 9. What is -3*p(u) - 4*w(u)?\nAnswer: 390*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1108*i - 138*i - 16 - 34.\nAnswer: 970*i - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3 - (-8)\/((-24)\/(-63))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1749 + 6949\/4. Calculate the common denominator of 2\/6 + (-952)\/126 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0002271 years to months.\nAnswer: 0.0027252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2422 - -1.2232. Sort -4, q, 2\/3, 8.\nAnswer: -4, q, 2\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5109561 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -27*s + 34*s. Let j be 0\/(-10) + (-2)\/s. Which is the second smallest value? (a) -0.4 (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/(-48))\/(((-18)\/6)\/(-12))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from zzfzzzzzzazzzzz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*d**3 - 357*d**3 - 338*d**3.\nAnswer: 29*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 92*d**2 + 2*d - 181. Let g be t(92). Solve 0 = -5*b - 4*y - 30, -1 - 14 = g*y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3\/2 + 7677*q**2\/2 + 341415*q = 0.\nAnswer: -7587, -90, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-4)*-5*(-3)\/(-105)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01964 + 0.08036. Which is the third smallest value? (a) 5 (b) -0.018 (c) z (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**5 - 15*x**4\/2 - 15*x**3 - 23. Let u(w) = 0. Calculate w.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - 6) + -4 - -18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*m + 6 - 16, 2*f = 5*m - 25. Let j be (-46)\/11 + (-6)\/(-33). Which is the closest to -0.2? (a) j (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 171\/114*14\/3. Let r(y) = w*y - 10*y**2 - 87 - 68 + 165 + y**3. Determine r(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 13*u**2 - 9*u - 10. Let l(c) = c**3 + 31*c**2 + 30*c + 14. Let q be l(-30). Calculate y(q).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s - 4. Let a be (-7)\/(-9) - 10\/(-45). Is a less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(684)).\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 2) + 2 + 178\/1. Let b = r + -100. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**2*z**2 - 47756*t**2*z - 8*t**2 + 67*t*z**2 + t*z + 420*z**2 - 13 wrt t?\nAnswer: -4*z**2 - 95512*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 733 + -736. Let a(m) = -6*m - 2. What is the lowest common multiple of a(-5) and -1 + (-48)\/(-36) - 41\/o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w + 5*w - 6*w + 9*w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -679025.9 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8663*k - 86621. Determine o(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 597610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y*z + 21062*y - 26374*z wrt y.\nAnswer: z + 21062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94.941 - -95. Round u to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7)*x**20*x*x**(-18)*x**(-16) assuming x is positive.\nAnswer: x**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/12 and 44\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(315)\/(sqrt(5)*-1) - (sqrt(756) + sqrt(756)*-1)\/sqrt(12))*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.5 - -15. Let g = j - -4. Let f = 0.1 + -0.3. What is the closest to 1 in 1\/4, g, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 16, 26, 36?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4 + 2. Suppose -5*p + z*p + 3 = 0. What is the biggest value in p, -1\/9, -4\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16713420 to the nearest integer?\nAnswer: 4088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 20789.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/15)\/((-3)\/10). Suppose 6 = s*p + 2. Solve 0 = v - p - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**2 - u. Let h(n) = 29*n**2 + 3*n. Let p = -20 - -18. Let v(x) = p*h(x) - 9*l(x). List the prime factors of v(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83705361 - 24405361. Round z to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/49 and 55\/63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 13*v**2 - 324*v + 376. Determine k(-26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26740685*j**3 - 178*j + 252.\nAnswer: -160444110*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41.1926 + -0.0074. Let v = -17.4 - k. Let c = 24 - v. What is the closest to -2\/23 in -0.5, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*x = 218*x + 94*x - 281 - 1559 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 8*k**2 + 9*k - 1. Let c be r(-5). Solve 0 = d + 5*g + 1 + 7, -2*g = c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/356440 and -121\/3118850.\nAnswer: 12475400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 - -101010000010?\nAnswer: 101010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*l = 21, 0 = -0*n - 3*n + l + 3. Solve -2*k - 1 = -5*j, -10 = n*k + 2*k - 2*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a day in minutes?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88601 is divided by 112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*a - 47 wrt a?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 21\/5, 0.3, 11\/9, 3\/4?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31897 is divided by 15944.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/29))**(-42) assuming h is positive.\nAnswer: h**(84\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -574? (a) 11 (b) -0.4 (c) -3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1167.77454 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -62. Suppose -5*a - 2*b + 2443 = v, 2*b - 3*b + 4 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 + 18 - 5)*(0*u + 4*u - 3*u) as s + l*u and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 15*i**2 + 12139*i - 169747. Determine s(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 3*n**2 + 3*n - 4. Let l be r(-4). Suppose -i - 3*i + 32 = l. What is the highest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.3 (c) 0.09 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/11, -3\/7, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/288 and 83\/8148.\nAnswer: 195552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5904 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**5 + 0*m**5 - 3*m**5 + (-4*m + 0*m + 5*m - 2*m**2)*(4*m**3 - 16*m**3 - 3*m**3).\nAnswer: 31*m**5 - 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11477 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1222012?\nAnswer: 1222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.1. Let j = -4.5 + 5. Let k = -0.36 + 0.46. Which is the closest to k? (a) 1 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, -243, 3 in increasing order.\nAnswer: -243, -5, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-2)\/(-108)*-3*-3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 698392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38714111 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 10 = -3*v, 3*h + 23 = 4*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9359.9nm to kilometers.\nAnswer: 0.0000000093599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2. Suppose j - 1 = -s, -3*s + j + 14 + 1 = 0. Suppose 3 = 5*y + 4*b, s*y = -b - b. What is q(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pprmrpsqqxxm. Give prob of picking 1 m, 2 x, and 1 r.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/45, -13, 17, 0.067?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161*i**4*s**2 + 2*i**3*s**2 + 9*i**3 + 9*i**2*s + 2*s**2 wrt i.\nAnswer: -3864*i*s**2 + 12*s**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -35 - (-8 + -10 + (6 - 8 - -17))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239622722 to the nearest integer?\nAnswer: 15480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3.5. Let s = 35 + -34.9. Which is the closest to s? (a) y (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170\/4012057 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 - 13*b - 2. Let f(k) = -2*k**2 + 7*k + 1. Let i(v) = -5*f(v) - 3*n(v). Let g be 0\/(-3) + -1 - 4. Let a = g + 8. What is i(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 664 and 7826070.\nAnswer: 31304280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/24 + q**3\/2 - 3*q**2\/2 - 7*q. Let v(w) be the first derivative of i(w). Let y be v(3). Solve 7*b - 4*b + 3 = y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-69)\/(-5) + 5\/25. Suppose m = -l + 3*l. What is the lowest common multiple of l and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*k**2 + 23*k**2 - 13*k**2)*(1 + 0 + 0)*(10 + 6 - 6).\nAnswer: 540*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -41. Suppose j = -i + 261. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**5\/3 - 32*k**4\/3 + 16*k**3\/3 + 104*k**2\/3 - 148*k\/3 + 56\/3 = 0. Calculate k.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 356*a**5 - 1887*a + 1816. Find the first derivative of o(y) wrt y.\nAnswer: 7120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38605*f**2 + 39747 wrt f?\nAnswer: 77210*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -13*d - 2. Give r(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 83 + 8*p - 8*p + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let h be (7 - 6\/(-2))\/2. Let f(d) = 0*d - h*d - 2*d. Calculate f(t(o)).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**3 - 2. Let n(l) = -19*l**3 + 3. Let r(i) = -4*n(i) - 9*z(i). Differentiate r(c) with respect to c.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f = 8*f - 44 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843988 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.5 - 20. Let g = -35 - -36. Which is the third biggest value? (a) -0.1 (b) -5 (c) g (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7907*t + 236. Let j(d) = -11861*d + 337. Give 10*c(o) - 7*j(o).\nAnswer: 3957*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162532597?\nAnswer: 17, 31, 308411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 241055433 or 241055434?\nAnswer: 241055433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 12) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 3\/4. Let v be (-56)\/(-24) + 1\/(-3). Suppose -v*i + 0*i = 0. Which is the closest to i? (a) -0.4 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5009, 4958, 4897, 4844, 4817, 4834, 4913, 5072?\nAnswer: 5329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 0. Let k = -95 + 100. What is the smallest value in k, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94 or -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 42475.59 weeks?\nAnswer: 25689236832000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196 + -119. Calculate the remainder when l is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 112, 169, 238, 325, 436, 577?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21 - 3)*(-9256)\/(-267). What is the greatest common divisor of 48 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62374, -249449, -561232, -997723?\nAnswer: -1558922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 133\/2 - 125\/2*w.\nAnswer: (w + 1)*(8*w - 133)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 8*n + 6*n)*(0 - 1 + 0) to a*n + c and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 317*u + 320. Determine v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209364 and 584?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/(-40))\/(4\/1936). Let w = y - -169. Which is the second smallest value? (a) w (b) 1\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -2, 2\/21, 1, -3461, 5, -4 in ascending order.\nAnswer: -3461, -4, -2, 2\/21, 1, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + k - 20, -t - 5*k - 14 = -5*t. Solve -1 = h - t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.82 + -5?\nAnswer: -155.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -19*i + 2. Let p(q) = -1. Let a(u) = -6*p(u) - y(u). Differentiate a(t) with respect to t.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:31 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125.138 - 0.138. Let n = x - 208. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 - 153. Let d be (-20)\/g + 8\/6. Suppose -d*u - 23 = -81. Is u less than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(832) - sqrt(832)) + 3 + sqrt(832) - (sqrt(117)\/(sqrt(9) + (sqrt(900) - sqrt(900)*1)) + 3))**2 + -5.\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g - 12. Let n be i(5). What is the highest common factor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(4\/3)*a**(4\/5)*a**(-2\/5)\/((a*a\/a**(2\/23))\/a))**(-34) assuming a is positive.\nAnswer: a**(-21352\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 121905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010001 (base 2) in base 16?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 25*g**3 + 3*g**2 - g. Let s = 57 - 56. Let n be x(s). Let t = -22 + n. Solve -3*j = -z - 5, 2*j + 4*z = -j - t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q - 120. Suppose 4 = -u + 14. What is the highest common factor of u and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 8. Suppose i = 2*h - 7, 5*h - a = 4*h + 2*i. What is the units digit of (-36)\/(-3)*2\/h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -10, 0, 23, -5 in decreasing order.\nAnswer: 23, 1, 0, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1740, 1749, 1772, 1815, 1884, 1985, 2124?\nAnswer: 2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/19))**(15\/7)*x**16*x**(-16) assuming x is positive.\nAnswer: x**(45\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 55663 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1820 and -0.045.\nAnswer: -1820.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -91508, -91581, -91654, -91727?\n\"Answer: -73*i - 91435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 11 - -2 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1586*m + 904 = -1594*m. Sort -14, m, 0 in descending order.\nAnswer: 0, -14, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**5 - 3*u**4 + 4*u**3 + 6*u**2 - 6*u. Let j(h) = h**5 + h**4 - h**3 - h**2 + h. Let f(k) = -d(k) - 6*j(k). Factor f(a).\nAnswer: a**3*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871 divided by 264?\nAnswer: 871\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 220, 1680, 4368, 8284, 13428, 19800, 27400?\n\"Answer: 614*q**2 - 382*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1153, 1157, 1173, 1207, 1265, 1353, 1477?\n\"Answer: c**3 - 3*c + 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgigzkzaggrggzzkrz. Give prob of picking 2 k.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -37?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, x: 1, r: 3, m: 4, f: 1}. Give prob of picking 1 x and 1 u.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + 193 + -186\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 2, l: 5, i: 1, g: 1, y: 3}. What is prob of picking 1 i, 1 l, and 1 y?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 24651*p**3 + 654*p**2 - 654*p**2 + 24642*p**3.\nAnswer: -9*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 899, 946, 1003, 1076, 1171, 1294?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrrzrrzzrrz. What is prob of sequence zz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -6. Let i = y - -5. Solve -i = 5*m + 3*r - 23, 0 = -m - r + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + 4\/(8\/(-6)). Solve l*x - m + 18 = -4*m, m - 1 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from {d: 1, e: 2, t: 7}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*x - 4, x - 46 = 5*b. Let a(h) = -h**2 - 9*h. Let f be a(b). Let r = 6 + -2. Is f less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 949 + -714. What are the prime factors of 50624\/36 - (-5 + z\/45)?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168515 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 1\/4, 2, -527, 0 in increasing order.\nAnswer: -527, 0, 1\/4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-496)\/868)\/(9\/7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4 + (-3075)\/20 + 5. Let a = 271 + u. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -7*n**3\/3 - 25*n**2\/2 + 7*n. Let r be f(-2). Solve r*i - 2 = -2*w + w, 2*i + 2*w = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 887.259 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 3, o: 1, c: 4}. What is prob of sequence okc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -2*s**6\/5 + 9*s**2 - 23*s. Differentiate n(v) with respect to v.\nAnswer: -48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 7*y**2\/2 + 9*y - 8. Let c be w(-1). Solve -c*t + 4*t + 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 234, 201, 166, 129?\n\"Answer: -w**2 - 30*w + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*(g\/(g**(-11\/5)\/g))\/g)\/g)\/(g*g\/(g*g**(-3\/13)*g)*g)*g*g**(-6)*g**(-15)\/g*g)**(3\/11) assuming g is positive.\nAnswer: g**(-3321\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -2*v - 360. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 95 and -0.560415752.\nAnswer: 94.439584248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141495*f + 141495*f + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11026867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 1\/6 (b) -1 (c) -2 (d) 283 (e) 18 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/10 + 80\/25. Let j = g - 5. Suppose -18 = 5*t - h + 8, 22 = -4*t + 2*h. What is the biggest value in j, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164087 and 7085575?\nAnswer: 77941325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 + -2.7. Let j = 7.9765 + 0.0235. Which is the nearest to 2\/3? (a) t (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559693478 to the nearest integer?\nAnswer: 23658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 + 9. Let t(v) = -2*v**2 - 4. Determine -3*r(q) - 5*t(q).\nAnswer: -2*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1000011100110001010101?\nAnswer: 1000011100110001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1879142 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533227469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27414163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 23, 60, 121, 212, 339, 508, 725?\n\"Answer: q**3 + 3*q**2 + 3*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(sqrt(405)*1 - -1*sqrt(80)) - (sqrt(20)\/sqrt(2)*4)\/((sqrt(2) + sqrt(2)*2)*-2)).\nAnswer: 4 + 236*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 12459.\nAnswer: 99672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440)*1 - sqrt(440))\/sqrt(11) + sqrt(480)\/(sqrt(12) - sqrt(12)*-2 - sqrt(12)) + sqrt(40))\/(sqrt(40)\/(sqrt(80)*-3 - sqrt(5))*-5))**2 + -2.\nAnswer: 1481\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 44*p - 41 = 0, -4*p + 201 = -5*x + 210 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43726886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 125 - -10*(-6)\/(-12). Let c = w - 132. Let r = 1.1 - 1. What is the smallest value in c, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.743001 litres to millilitres.\nAnswer: 3743.001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644235 divided by 908?\nAnswer: 644235\/908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12125 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 26. Let z be (-2*(-153)\/(-68))\/((-2)\/(-4)). Calculate b(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.67 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppsowpfspsofps. Give prob of sequence fo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 64 = 6*t. Calculate the remainder when 236 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7846 minus 364633552?\nAnswer: -364625706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 9 = -3*n + 3*j, 3*n + 13 = -2*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 34. Calculate the smallest common multiple of 4 - -1*(-8)\/y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 145*x - 26. Let j be l(5). Let w = j + -493. List the prime factors of w.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 11*c - 27. What is the units digit of w(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**7*v)))\/v*(((v*(v*v*v\/v**12*v*v)\/v)\/v)\/v)\/v)\/((v*v\/(v\/(v*v*v\/v**(-8)))*v)\/v**(-7)) assuming v is positive.\nAnswer: v**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (3 + (4 + -3 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 0.03 (c) -0.05 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 1, -2, -18, -1.\nAnswer: -18, -2, -1, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3552 divided by 48\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 825058842?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3710574.\nAnswer: 2, 3, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**14)\/(p*p**7) assuming p is positive.\nAnswer: p**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/(-27)*30\/(-4) - 175\/(-35)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 2082.\nAnswer: -11\/2082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*o - 693*o = 7 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) + (4*sqrt(170))\/sqrt(10)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -835739.9 rounded to the nearest ten thousand?\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -274 + 275.99. Round f to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -678+-1.2\nAnswer: -679.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.3 - -0.7. Let u = 72.2 - 78. Let j = z + u. What is the closest to -2 in -0.3, -4, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 21*k + 95. Let r be g(-16). Let z = -223 - r. What is the greatest common divisor of 36 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 245, 244, 245, 248, 253, 260?\n\"Answer: q**2 - 4*q + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 5, o: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 235 - 332. Let k = s - -101. Let t be (1 + -4)*2\/9. Which is the smallest value? (a) t (b) k (c) -0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.3, 11, 5\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -285*a**2 + 489*a wrt a?\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -446 + 320. Let n = 131 + q. Which is the third smallest value? (a) -3\/5 (b) 14 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 621 divide 3935898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 2:32 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 5:58 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/241? (a) 0.1 (b) 4\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 215? (a) -5\/9 (b) -5 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*w = p, 2*p + 112*w - 116*w + 40 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = -r, 5*r + z + 2*z - 9 = 0. Suppose -2*v = -5*f - 4, 0*v - 2*f = 3*v - 6. Suppose 2*n - 1 = 1. Solve -a - n + v = r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 905*s**2\/2 - 3632*s + 7272.\nAnswer: (s - 4)**2*(s + 1818)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24.27*3\nAnswer: 72.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i**2 + i - 1. Let y = 20372 - 20367. Let v(h) = -h**2 - h. Determine y*v(g) + p(g).\nAnswer: 3*g**2 - 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*r, 3*q - 5*r - 2887 = -817. Suppose 10*y - q = 5*y. Suppose -5*f + y = 3*t, -5*t + 97 = 2*f + 27. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -439*k**3 + 6*k**2 - 33*k - 120. List the prime factors of b(-3).\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gffggfgfgf. Give prob of picking 2 g.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5590905 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(351)*-5)\/sqrt(9))\/(sqrt(108)\/sqrt(4)*-1).\nAnswer: 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 0. Suppose -y - y - 12 = 0. Let g = -7 - y. Sort g, a, 3 in ascending order.\nAnswer: a, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1524\/77 in 4, -2\/3, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpppcpppppp. What is prob of picking 2 p and 1 c?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 = -2*a, -3*b + 1 = -3*a - 5. Let d = -119\/10 + 23\/2. What is the closest to d in b, 1\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 9\/2 (b) 4 (c) 2\/7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -0.2 (b) -38 (c) -2\/13 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*v + 0 - 5 = 0, 5*v = 0. Let x be (9*1\/(-2))\/(w\/144). Let l = x + -411. What are the prime factors of l?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.0964 to one dp.\nAnswer: 266.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -29\/9, 7, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 11.3 (b) -2 (c) 0.02665 (d) 1\/3 (e) 0 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10642, -21143, -31642, -42139, -52634, -63127?\n\"Answer: n**2 - 10504*n - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-12))\/((-10)\/4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, and 1 x when three letters picked without replacement from tmxttmmimiixtxxzxtkx?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/((-10)\/(-15)). Let z = n + 1. Is 4\/51 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 150 = 3*m, 200 = 2*p + 2*p + 2*m. Calculate the remainder when 109 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -249*w + 1877. What is v(9)?\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = -h - 46, -4*k + 5040*h = 5041*h + 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 6:23 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -23*c**3\/2 + 125*c**2\/2 + 148*c. List the prime factors of t(-11).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 66*o - 58*o. Suppose -5*x = -3*i - i + 5549, 3*i - 4185 = -o*x. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 1\/270*m**6 - 1\/18*m**5 + 11\/36*m**4 + 0 - 20\/27*m**3 + 8\/9*m**2 - m. Find d such that i(d) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/6*6\/7. Solve 5*f = m + 8, 14 = 4*f - 2*f - g*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s + 6. What is the remainder when 53 is divided by 35\/14*56\/s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320\/(-200)*(-4)\/(64\/(-84))\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + m + m - 3*m. Calculate the smallest common multiple of 12 and l(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = -4 + 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txtm. What is prob of picking 1 x and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*g - 13*g + 11*g. Let o(s) be the third derivative of -4*s**2 + 1\/24*s**4 + 5\/6*s**3 + g + 0*s. Let i(j) = -j - 4. Calculate 6*i(w) + 5*o(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v + 5. Let m be (1*(-8)\/(-6))\/(((-133)\/21)\/(-19)). Let w(l) = -6*l + 5 - 1 + 0. Give m*b(x) - 5*w(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 h when four letters picked without replacement from {l: 2, h: 2, k: 5}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zggp when four letters picked without replacement from {g: 4, p: 5, z: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, c: 8, g: 1, b: 7}. Give prob of sequence fbb.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from {t: 2, e: 2, r: 1, h: 1, g: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -942.95 - -918. What is p rounded to 0 dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23139.18 hours to nanoseconds.\nAnswer: 83301048000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24\/5, -0.3, -1\/4, -2, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(8\/9)\/d))\/((d\/d**4)\/d) assuming d is positive.\nAnswer: d**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 183\/(-63) - (-46)\/18*(-735)\/1715.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 22. Suppose -134 = -5*p + g*z, -5*z + 8 = p - 2. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*c**2*q**2 + 14*c**2*q + 196*c**2 - c*q**2 + 12*c*q - 832*q**2 - q + 3 wrt c.\nAnswer: -40*q**2 + 28*q + 392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6 - 6 + 10 + k + 29*k**2. Let a be p(1). What are the prime factors of 0\/2 + -2 + a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*b = 3*h + 109, 0 = -2*h - 3*b - 55. Let j be 4\/(-14) + h\/(-7). Suppose -j*s + 28 = 2*r - 2, 5*s - 55 = -5*r. Solve -u - s = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + ((sqrt(14) + sqrt(2016) + sqrt(2016)*1 + sqrt(2016))\/sqrt(2) + -1 + -4)*-1 + -2).\nAnswer: -4 + 74*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -244, -253, -274, -313, -376, -469, -598, -769?\n\"Answer: -k**3 - 2*k - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7125.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*-1*(sqrt(180) + 5 + 5)*3.\nAnswer: 600 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 2*j**6\/105 + 8*j**5\/7 + 400*j**4\/21 + 345*j. What is d in z(d) = 0?\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)*a)\/a)\/(a**(3\/2)*a*a))\/((a*a**(-2\/15))\/(a*a**(2\/3)*a*a)) assuming a is positive.\nAnswer: a**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354b8 (base 12) to base 16.\nAnswer: -1178c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47\/105 - 1\/21. Let g(v) = 7*v**3 + 3*v**2 + v + 2. Let k be g(-2). Let h be 10\/25 - k\/(-10). What is the second biggest value in h, l, 15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-7 - -14) + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8075 is divided by 197?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (20 - 12) + -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6573686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 2. Let z = n + 24. Let z + 0*i**2 + 1\/5*i**4 + 0*i + 0*i**3 = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 242 - 877\/4. What is the common denominator of o and 89\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41, -301, -1055, -2567, -5101, -8921, -14291, -21475?\n\"Answer: -44*s**3 + 17*s**2 - 3*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -1\/2, -10\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -528, -556, -614, -714, -868?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -35*q**2 + 16*q + 17. Let m be f(5). What is m rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13908 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 461 = -118. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 390391007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -7. Suppose 4*m - 1 - 15 = 0, -y = n*m - 18. Is 4\/(-1)*1\/y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162 - -162.17693. What is u rounded to three decimal places?\nAnswer: 0.177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14251 + -27695. Let a = -80849977\/6010 - 1277\/601. Let o = a - b. Find the common denominator of 145\/18 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/9*(-48)\/(-200)*5. Find j, given that 4\/7*j**4 + 4\/7*j**i + 12\/7*j - 8\/7 - 12\/7*j**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 1, -108 in decreasing order.\nAnswer: 1, -4, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f - 4*f)*(5430*f - 5660*f - 1211*f - 3822*f - 13027*f).\nAnswer: 54870*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 640\/9 + -3274\/45. Let s = 16\/9 + w. Let l = -4\/67 + 304\/603. Which is the third biggest value? (a) s (b) -0.06 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - u + 24. Let z be x(0). List the prime factors of z\/(-4) + 3 + 9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - g = 2*t + 2*g + 16, -5*t - 5*g + 10 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*g - g - 4*g - 10*g + 1 - 2 to a + d*g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7669 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*l + 14, -4*l - 6 = -q - 6*l. Is (-1042 - 0)*q\/40*-6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0093? (a) 2\/3 (b) -13 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 16*r + 49 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 12:14 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 334*((-63)\/70)\/(6\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 618\/(-16) - 12\/32. Let r = f - -41. Suppose 3*b - 4*b + 228 = r*z, -1092 = -5*b + 2*z. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:33 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6 = 4*q - 14, -4*x = -3*q + 6. Suppose x = 4*c - 28. Let h be 14\/3 + c\/21. Solve i - 1 = -h*d + 4, -1 = -i - d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 51*y - 51*y. Let j(z) = 4*z. What is j(q(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n - n)*(1 + 6 - 2)*(-12 - 12 + 19).\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4 - 15*n - 16*n + 1 + 11*n. Let i(z) = -7*z - 1. Let k(x) = -11*i(x) + 4*p(x). What is the derivative of k(j) wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k**5)\/(k**0*k*k**(-2\/9)) assuming k is positive.\nAnswer: k**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -24, 2\/5, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40087*j*x**3 - 5*j*x**2 - 6*j - 3*x**2 - 56 wrt x?\nAnswer: -240522*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8 = -3*b + 3*s, 2*s = -b + 10. Let d = 0 - -10. Solve -o - 4*x - d = 0, b*o + o = -2*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*c - 701, 4*d - 2836 = -7*c + 3*c. Let k = d - 706. Calculate the remainder when 67 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3205121 (base 6) in base 15?\nAnswer: 31634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6493.218 less than 22?\nAnswer: 6515.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -688, -1024, -1308, -1534, -1696, -1788?\n\"Answer: b**3 + 20*b**2 - 403*b - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -118826.58.\nAnswer: 8317.8606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15807 is divided by 13391?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3850\/3 (b) 2\/7 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*v + 587*v + 1049 = -683*v - 33781 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 16118 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*q = -105, -2*q - 76 = 4*o - 6*q. Let u = o - -97. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -0.3, 3, -0.157, -6, -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1718\/(-280) + ((-900)\/(-270) - (-128)\/(-42)))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/3)\/((-5)\/(-15)). Suppose -2*d = 2*d - x. Suppose 4 = -3*u - d*z, 0 = 4*u - 3*z + 6*z + 9. Is 0 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2529999, 7, -1 in descending order.\nAnswer: 7, -1, -2529999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 + 0*o**3 - 2*o**3 + (0*o**2 + 0*o**2 - 2*o**2)*(o + o - 4*o))*(68 + 72 - 187*o - 140) to i + s*o**3 + y*o + q*o**4 + w*o**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = s - 27, -4*s - 3 = -p - 3*s. Let q = p - 1. Which is the smallest value? (a) -2 (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 109 = 4*t, 2*t = 6*a - 3*a + 47. Suppose 5*g = 6 - t. Is -1 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 946 divide 49905623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 334004*c + 2004036. Give i(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:39 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 368*i - 3*i**3 - 11 - 26*i**2 + i**3 - 102*i.\nAnswer: -2*i**3 - 26*i**2 - 470*i - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(1\/2))\/c)\/(c*c\/(c*c**18*c)))\/(c\/c**(-1\/3)*c**5) assuming c is positive.\nAnswer: c**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 732 divided by 4.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 43602026?\nAnswer: 43602021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 f when three letters picked without replacement from nnpppppnnffnppp.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -590 (b) -0.4 (c) -3 (d) -305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1519 = -3*c, -3*c - o = -8*c + 2523. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/431 and (8 - 7)*(-64)\/(-112).\nAnswer: 3017","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32179 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 16, i: 2}. What is prob of sequence cci?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 9. Let j = -4.7 + m. Suppose -12*g - 15 = 35*g - 203. What is the nearest to g in j, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-196)*6*10\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r\/((r**0\/r)\/r)*r*r*r*(r\/((r**5\/r)\/r))\/r*r*((r*r*r**(2\/9))\/r)**(-8\/17)*r**(-1\/3)*r**(-1)\/r*r**(4\/9)\/(r*r**(2\/9)) assuming r is positive.\nAnswer: r**(118\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 8:30 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1892572341.\nAnswer: 3, 11, 41, 109, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 4 - 4618*c + 4624*c + 4. Calculate the remainder when 79 is divided by o(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) - (-112)\/6. Let a be ((-4)\/z)\/(1\/12) - -3. Sort -2, a, 0.2 in descending order.\nAnswer: a, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*4\/(-7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409 - -700. Let o = -291.4 + m. What is the biggest value in 8, 3, 2, o?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13168, 26638, 40108, 53578, 67048?\nAnswer: 80518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5.4*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 9320412642495.\nAnswer: 9320412642496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 2, -21\/8, -1, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {w: 7, a: 3, e: 2, f: 5}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(612))*1*-5 + 1)**2 + -4.\nAnswer: -360*sqrt(17) + 15332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -982.7 + -66.3. Let v = b + 624. Let m = v + 422.01. What is m rounded to 1 decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2 - 32*p + 2322 = 0.\nAnswer: -43, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.08 or -4020?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*v - 0*v - n, 8 = -v - 3*n. Let t(l) = l**2 + l - 12. Let g be t(v). Is g - -228 - 3\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.98, 2, -0.03, 0.5, -97, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*b + 36*b**3 - 52*b**3 - b**4 + 0*b**4 wrt b.\nAnswer: -12*b**2 - 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*(13 - 75). Suppose -112 = 24*l - f*l. Suppose -5*i + 82 = -2*u - 270, -3*i = -5*u - 196. What is the greatest common factor of l and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -11*k - 26. Let g(y) = 120*y + 285. Let s(o) = -4*g(o) - 45*h(o). Let q(a) = a + 3. Let j(f) = 10*q(f) - s(f). Let d(x) = -38*x - 1. Give j(d(i)).\nAnswer: 190*i + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p*(p\/(p*p**3\/p)*p)\/p)\/p)**(-23\/3)*((p*p*p\/p**(-9))\/p)**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 3*o - 19. Let i(j) = -7*j**2 + 7*j + 39. Let r(m) = -5*f(m) - 2*i(m). Let w be r(7). Let k = 12 - w. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**4 + 0*d + 10*d - 24*d**2 + 9*d**3 + 2*d + 6*d**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204 + 412010?\nAnswer: 411301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:58 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-10)*(0 + 2). Suppose 0 = o - n*o + 8. Suppose -5*p = -2*z - 8 - 4, o*p - 7 = -z. Put -3, 4, z in decreasing order.\nAnswer: 4, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 2*t - 32, -2*n + 18 = 2*t - 20. Solve 0 = 5*w + t, 4*w + 22 = -2*c + w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*m + 0)*(-5 - 6 - 7) + 3*m + 6 - 6.\nAnswer: -33*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110799334 by -71.\nAnswer: 1560554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let p(v) = -11*v + 3. Let l be (-2)\/20*(-76)\/(-342)*-45. Determine l*p(x) + c(x).\nAnswer: -10*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23082921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2757.412ml in litres?\nAnswer: 2.757412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20227029, -20227065, -20227133, -20227239, -20227389?\nAnswer: -20227589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 5*v + 5. Suppose 0 = 4*c + 5*w - 4, 4*c + 3*w - 5 = -c. Let i(m) = -m. Let t be i(c). Let d = 3 - t. Give z(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 - 1. Let l be t(-1). Let u = l - 5. Let o be ((-12)\/10)\/(u\/(-6750)). What is o rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.66? (a) 4 (b) 40 (c) -2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -203*s - 11. Let b(g) = 1017*g + 56. Let x(l) = 6*b(l) + 33*t(l). What is the tens digit of x(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i**2 + 2*i - 1. Let q be g(1). Let r(k) = -165*k**2 + 335*k**2 - 169*k**2 - 2 + 8*k. Determine r(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -16*x**2 + x. Determine r(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkqkttgtkkkttt. Give prob of picking 1 t and 1 k.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 - -2.54. Let f = -0.04 + l. Which is the second smallest value? (a) f (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10832 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 296032*i**2. Let a(x) = 4*x**2. Calculate a(j(u)).\nAnswer: 350539780096*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1377) + -5 + sqrt(1377))*5)**2 + 4 + (sqrt(1377) + 2 + -1)**2 + sqrt(1377).\nAnswer: -4473*sqrt(17) + 139707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 30*z - 1. What is u(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 154321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, n: 4, g: 1, v: 1, w: 3, b: 4}. Give prob of picking 1 b, 1 w, and 1 v.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358188.\nAnswer: 2, 3, 19, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 868791 - -89 - (-4 - -17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 14*t - 27. Determine l(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 20, 0.5, 2\/23, 0.1, -32.7?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 1. Let w = 32 + -24. Let a = 43 - w. Let g = -38 + a. Calculate z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4100*l - 11059 - 44141 = 55500 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/20 + f**4\/6 + 55*f**2 + 767*f. Find the third derivative of o(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 30*f**2 - 118*f - 673. Determine m(24).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*j - 495*j + 243*j + 2*j**2 in the form z*j**2 + u + r*j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -713787652 - 3.09.\nAnswer: -713787655.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 892741390 to the nearest one million.\nAnswer: 893000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 11:13 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19)\/4 + (-5)\/20. Let p(r) = 3*r**2 + 4*r**3 - 2*r**2 - 3*r**2. Let d(c) = -12*c**3 - 5*c**3 + 13*c**3 + 5*c**2 - 5*c**3. Determine a*p(u) - 2*d(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -100*n**2 - 8. Let c(f) = 99*f**2 + 10. Let p(b) = 4*c(b) + 5*s(b). Let v(k) = k**2. Give p(v(t)).\nAnswer: -104*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 11 = -1. Suppose -4*b - 25 = -x*w, 2*w = -4*b + 3*b + 2. Suppose 0*z = -w*z + 12. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q. Let p be ((2 + -2)\/(-2))\/2 - -17. Let g(y) = -y**3 + 19*y**2 - 31*y - 56. Let w be g(p). Calculate r(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 l when three letters picked without replacement from rilli?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4599583208?\nAnswer: 2, 11, 52267991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 41 = -49. Let c be t\/12*(-2)\/(-20). Which is smaller: 0.5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 1560949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 26*j + 8. Let g be y(23). Let i = -21 - g. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -12, -9, -16, -39, -84, -157?\n\"Answer: -d**3 + 4*d**2 + 2*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) 4 (c) -659\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 3*k**2 - 5*k**2)*(1 - 1 - 3)*(-1 - 5 - 4).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + j - 11*j)*(0*j + j - 4*j) to the form q + l*j**2 + v*j and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*j + 551, 24*t = -5*j + 29*t + 985. Let p = -132 + j. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by -513?\nAnswer: -28\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*w**5 + 4*w**3 - 446*w**2.\nAnswer: 240*w**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 1)*(2*o + 1 - 1) + 7*o - 7*o + 7*o + 0*o - o + 3*o as d*o + j and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 27*w**4 + 9*w**2 - 5. Let g(i) = 27*i**4 + 8*i**2 - 6. Let t(q) = -5*g(q) + 6*v(q). What is the third derivative of t(k) wrt k?\nAnswer: 648*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 39 + 121. Let n = 17 - 9. What is the greatest common divisor of n and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147200.36 less than -27166.8?\nAnswer: 120033.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**2*p**2 + 3*o**2*u + 6*o*p**2 + o*u - 16*p**2*u + 8*p wrt u.\nAnswer: 3*o**2 + o - 16*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 2. Let v(u) = 15*u - 15. Let m(l) = v(l) - 5*w(l). Let t(b) = -b + 2*b - 2 + 0 + 4*b. Determine 2*m(x) - 5*t(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 300511774 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24, -2, 30 in descending order.\nAnswer: 30, 3, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 9*z**2 + 34*z + 29. List the prime factors of x(-13).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**2 + 1. Let m be o(-1). Suppose 3*h + g = -4, -3*g - 7 - 5 = 5*h. Which is the closest to h? (a) -0.1 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - n**3 - 2*n**3 + (0*n + 0*n + n**2)*(-2*n - n + 4*n) - 2*n**3 + 2*n**3 - 2*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + g - 4*g - 464*g**2 + 930*g**2 - 467*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101010001000 - 10100001010?\nAnswer: -10111110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(144) - -1*sqrt(144)) + sqrt(144))\/sqrt(6))\/sqrt(12))**2 + ((sqrt(600) - sqrt(24))\/sqrt(4) + sqrt(6))\/sqrt(3).\nAnswer: 5*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 11 + 18. Let t = l - -30. Let j(k) = -t + k**2 - 34*k**2 + 1. Let u(w) = -2*w**2. What is u(j(i))?\nAnswer: -2178*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 738, -30, -798, -1566?\nAnswer: -2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220463 by -6547.\nAnswer: 220463\/6547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from zhzzzzhhzzh?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2718, 4, -13.444?\nAnswer: -2718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -609?\nAnswer: 243.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17326, -34651, -51978, -69307?\nAnswer: -86638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by 47\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**3 + 25*z**2 - z - 3. Let y(h) = h**3 - 8*h**2 + 1. Let v(m) = -2*r(m) - 7*y(m). Calculate v(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2*sqrt(297)*-6)\/((sqrt(77) + -2*sqrt(77))\/sqrt(7)))\/(sqrt(225)*-1 + (1*sqrt(90))\/sqrt(10)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:57 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**3*v**2 + 41865*i**3*v - 3*i**3 - 2*i**2*v - 2*i**2 + i*v**2 - 1530*v**2 + 955*v wrt i?\nAnswer: -6*v**2 + 251190*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.05 (b) -1.5 (c) -2\/7 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-38)\/6 + 0)*-3. Let p = s + -8. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2447 or -2453?\nAnswer: -2447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/105541 and 21\/727?\nAnswer: 76728307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39784 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 29*n - 40320. Let k = n + -469. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*a**2 + 126*a**2 + 740*a**2 + 807*a**2 - a**3.\nAnswer: -a**3 + 1185*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 267 - 174. Let z = 92.907 - y. Let h = z + -0.517. Round h to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110010212020 + -112212?\nAnswer: 1110010022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20962801 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -73, 0.02 in descending order.\nAnswer: 7, 0.02, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112468 is divided by 7956?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 13*j = 312. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1 (c) 4 (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from {m: 1, t: 6, z: 7, x: 3}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 36 = 2*s. Let v = s + 32. Let o(l) = -2*l - 7. Let y be o(-6). Which is smaller: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -63 + 234. Let c = -41 + t. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a93ae - -c?\nAnswer: 1a93ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2068148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180141310?\nAnswer: 2, 5, 31, 581101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97530\/25141 or 4?\nAnswer: 97530\/25141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.8905 - -693.\nAnswer: 708.8905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 3*r + 4*r)*(0 + 4 - 3) + 1 - 1 + r + (5 + 3 + 0)*(-r + 6*r - 3*r) - 17 + 17 + 12*r.\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.51556ml to litres.\nAnswer: 0.00551556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/21 - 13\/(-3). Sort c, 0, 0.6 in increasing order.\nAnswer: 0, 0.6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -g. Suppose 2*a = 5*o - 0 - 6, -3*o = 2*a - g. Solve 0 = -h + a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 3:21 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -386*j**2*z + j**2 - 99*j*z - 2*j + 13346*z + 48 wrt j.\nAnswer: -772*j*z + 2*j - 99*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138 - 108) + (-6 - -1 - (16 - 20)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 8. Let b be y(-4). Suppose -12 = -b*x - 0*x. Find the second derivative of -6*d**x + d + 3*d**3 - d**3 + d**3 wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 19446966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56405326.\nAnswer: 2, 28202663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/19894 and 117\/2129050?\nAnswer: 432197150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*y = 1107, -31*i + 1810 = -26*i + 5*y. Let b(v) = 90*v**2 - 4*v - 4. Let p be b(-2). Which is bigger: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4438365 + 9?\nAnswer: 4438374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4797, -4711, -4639, -4587, -4561, -4567, -4611, -4699?\nAnswer: -4837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6067.\nAnswer: 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 17*n**2 + 36*n - 28. Determine b(-14).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 7*o**2 + 8*o - 9. Let b be m(6). What is the third derivative of 13*z**2 - z**3 - 9*z**3 - 13*z**3 - b*z**2 wrt z?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)\/t)**(5\/8)\/(t**(1\/4)\/(t\/(t\/t**(2\/15)))))**(-8\/17) assuming t is positive.\nAnswer: t**(164\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -272*j**2 + 8936 - 17875 + 8937 to the form x + t*j + f*j**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28853, 57705, 86557, 115409, 144261, 173113?\n\"Answer: 28852*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*l = -488, -47*n + 2*l + 232 = -45*n. Suppose 5*u - 146 + 21 = 0. What is the remainder when n is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11536 + 1633 + 16343 = 248*w. Solve w = o + 123 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 42?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 26 = 3*s, -5*s + 2*d = -2*d + 26. Let i(t) = -t**2 - t - 1. Let k be i(-1). Which is bigger: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59.7 + -63. Let g = -0.7 + r. Suppose 0 = o - i + 5*i - 11, 2*o + 3*i = 7. What is the third biggest value in o, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 47519961 = -3*m, 4*m - 7216637 = -5*i - 70576574. Let s be 1\/6 - m\/72. What is s rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 21*p**2 + 3*p - 24. Let b = -119 + 123. Is c(b) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1060)\/(-75) + (-2)\/60*4. Suppose k*g - 7518 - 3724 = 0. Does 58 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 1:49 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 7566 - 1406. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - a + 0*a**3 - 5*a**2 - 2 + 0*a**3 + 0. Does 14 divide t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzxxzzzzzzzzxzzzzxz. Give prob of picking 4 x.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621306 to the power of 1\/2, to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r + 48. Let t(h) = h**2 + 2*h. Let i be t(-2). Suppose i = -q - j + 24, 4*q + 5*j - 99 = -3. Calculate the highest common factor of q and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72 - (61 - 12)) + (-2 - -128) - 7.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-23)*v*v**(-14))\/(v**(-15)\/(((v\/(v**26\/v)*v)\/v)\/v*v)) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 + 35 + 32 + -99.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 2, m: 2, v: 1, j: 1, b: 1}. What is prob of sequence kj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 23*w + 10*w - 13 + 2*w**2 as g*w + d + x*w**2 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*y - 227 - 93 = 0, 0 = 4*f - 3*y - 299. What are the prime factors of (-2 + f - -3) + 5?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**2*m**3*y**2 - 421*f**2*m**3*y - 49*f**2*m**2*y - f**2*y**2 + f**2*y + 2*f**2 + 3*y**2 wrt m.\nAnswer: 12*f**2*y**2 - 2526*f**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7026932 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -324.\nAnswer: -11\/324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -362 + 181. Let v = l + 308. Let m = v - 90. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5330)\/(-5740)*42\/(-234)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 6 + 95*o + 19 to the form d*o + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = -3*q + 20, -5*q - 118 = 23*k. Solve 0 = -a + 3*m + 3, 5*a - q*m + 5*m - 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/2070)\/((-1)\/9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 2*c**7\/63 - 4*c**6\/45 + 2*c**4\/9 - 2*c**3\/9 - 8*c. Factor u(z).\nAnswer: 4*z*(z - 1)**3*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 2, 3\/11, -7693, 30?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.6 + 2.72. Let r = 1924 + -1926. What is the nearest to a in 5, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 4*o**2 - 2*o - 6. Let b be d(-4). Suppose 0 = -j + h + 61, b*h - 1 = 3. What is the common denominator of (-98)\/(-12) - 14\/j and 81\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(w - 4*w - 2*w) + 5*w - 4*w - 3*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/60 - v**4\/2 + v**3 - 10*v**2 - 5. What is l(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5122 is divided by 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, 49, 329, 881, 1795, 3161, 5069?\nAnswer: 7609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 15 = -2*k - 1, -3*k + 2*a = -10. Suppose k*v - 144 = -164. Sort v, -4, 2, -2.\nAnswer: v, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j**2 + 9*j + 1. Let z(m) = m**2 - 1. Let n(o) = v(o) - 3*z(o). Let h(i) = -3*i + 50. Let l be h(18). List the prime factors of n(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/(34*3\/12)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196515729 is divided by 723.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b**2 - 7*b + 7*b)*(-7*b + b - b).\nAnswer: 70*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 16 = z. Suppose -5*c + 55 = 2*r, 2*r - 3*c - 48 = -c. Suppose -r*j = -z*j - 300. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -296*j - 597. Let a be f(-2). Let y(r) = 9*r**2 + 2*r - 4. Let c(z) = 17*z**2 + 3*z - 7. Determine a*y(d) + 3*c(d).\nAnswer: 6*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 722993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191664649 to the nearest integer?\nAnswer: 13844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 953966\/(-143)*2\/(-720). Let w = p - 992\/55. What is the common denominator of 26\/9 and w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7658909989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 15*v + 3651. What is the lowest common multiple of f(90) and 9?\nAnswer: 15003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/12*(-4)\/(-6). Sort 2, -29, y in ascending order.\nAnswer: -29, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 7. Let g be 66\/(-561) + 104\/17. Let q(n) = -n - 6. What is g*q(i) + 5*d(i)?\nAnswer: 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4*q + 5 + q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20023322113 (base 4) in base 9?\nAnswer: -4030611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, j: 1}. What is prob of picking 3 d and 1 j?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006848 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s*u**2 - 2*s*u - 5588*s - 363*u wrt u?\nAnswer: -2*s*u - 2*s - 363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -1 + 9. Solve 0 = 4*t + s, h + 5*t + 10 = -0*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 3*t**2 - 3*t - 5. Let x be h(-3). Put -1, x, 0 in increasing order.\nAnswer: -1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/313? (a) -4 (b) 1 (c) 4\/7 (d) -70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.06 (c) 81 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 21*f = -3. Let y be 171 - ((-30)\/(1 + -7) - 5). Sort 4, y, f in descending order.\nAnswer: y, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1152112 divided by -104.\nAnswer: 11078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 2*o**3 - 11 - 3 - 3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 43892*j - 87785\/2.\nAnswer: (j - 87785)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-24)*f\/((f\/((f*(f\/(f\/(f**8*f*f*f))*f)\/f*f)\/f))\/f)*f**(-8\/3)\/(f**(-3)\/f) assuming f is positive.\nAnswer: f**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**3 - 49*z**2 - 246*z + 1.\nAnswer: -6*z - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110869308, -221738617, -332607926?\nAnswer: -443477235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 12*d - 2*d)*(0 - 2*d + 0) + (0*d + d - 4*d)*(3*d + 4*d - 6*d).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15587.44 years to decades.\nAnswer: 1558.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1107, -2215, -3323, -4431, -5539, -6647?\nAnswer: -7755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -2*a**3\/33 + 1596*a**2\/11 - 1273608*a\/11 + 693. Solve t(i) = 0 for i.\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose 0 - n = -j, 2*v + 3*j = 10. Suppose 4*w - 4*q = q + 125, 0 = -v*w - 2*q + 40. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 + 128 = 3*w, 2*w = -5*t + 15. Solve -3*n = t*f - 34, 0 = -3*f + 2*n - 9 + 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 20*u**2 + 2*u + 13. Let f(o) = -81*o**2 - 3*o - 19 - 37 - 6*o + 5. Let q(w) = 2*f(w) + 9*z(w). Find the first derivative of q(b) wrt b.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(28) - sqrt(3) - sqrt(3)) + sqrt(3))**2 + ((-1*sqrt(3))**2 + sqrt(3))*3 - (sqrt(363) + (sqrt(363) + -4*(sqrt(363) + 2) - sqrt(363)))**2.\nAnswer: -13285\/4 - 525*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 568003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.4 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20461289?\nAnswer: 107, 191227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22\/7 (b) -2.9 (c) -0.4 (d) -6\/43 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 18*h**2 + 30*h - 29. Let f be t(-16). Let x be 4\/f + (-10)\/6. Suppose -4*m + m = 9. Which is the closest to 0.1? (a) m (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b - 1. Determine k(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, 2.3, -2\/3, 2\/21 in decreasing order.\nAnswer: 5, 2.3, 2\/21, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.28 + 0.72. Let s be 5 + ((-14)\/84)\/(2\/62). Which is the nearest to 1.8? (a) s (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 4958.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h - 23. Let v be c(7). What are the prime factors of (0 - 1)\/(18\/v) + 392?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 333 and 0.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1588 and 7940?\nAnswer: 7940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*q**2 + 3*q**2 + q**5 + 4*q**5 wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2 = 3*n + 13, 2*n = r - 4. Suppose -4*j - 18 = -3*o, 3*o - 2*o - j = 6. Let k be o\/19*(-4)\/(-12). Are k and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 915*b**2 + 0.\nAnswer: -915*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*z + 384 - 406, -5*z + w + 26 = -5 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*w**3 - 56*w**3 - w**4 + (2*w + 4*w - 5*w)*(-8*w**3 - 9*w**2 + 9*w**2) + 269 + 32*w**4 - 269.\nAnswer: 23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/27 and -83\/216598848?\nAnswer: 1949389632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389 >= 815346\/587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16867, -16868, -16869, -16870?\nAnswer: -16871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9230 - 8610. Is l > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 472 - 474. Which is bigger: -32\/31 or y?\nAnswer: -32\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 1, n: 3, v: 1, u: 1, c: 5}. What is prob of picking 1 f, 1 v, and 2 c?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3379*k**3 - 979.\nAnswer: -10137*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 20 - 17 - 4*j**2.\nAnswer: 2*j**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v. Let w be v\/(-2) - (0 + 2). Let t be (1 + 0)\/((-1)\/w). Let c(k) = -k**3 + 2*k**2 + 2*k. Determine c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 7045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 7 + 5*u + 2 wrt u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-2 + 21\/6). Suppose -h*k - 1 = -3. Is (k + 1)\/2*83 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3924, 3925, 3926, 3927, 3928, 3929?\nAnswer: 3930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19895 + -5526. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 5)*(a + 3 + 0*a - 2*a) in the form g + b*a and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3967 - -3972. Let c(o) be the third derivative of 0*o**3 + 0*o**7 + 0*o + 0*o**a - 1\/8*o**4 - 1\/112*o**8 + 0 + 1\/20*o**6 + 9*o**2. Factor c(x).\nAnswer: -3*x*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-476)\/(-63)*48\/(-32))\/(2\/1)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -4, -3, -7\/6, 12\/2833?\nAnswer: 12\/2833","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195455?\nAnswer: 5, 13, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-35))\/((-66)\/14). Suppose -w = o - 1 + 3, 8 = o - w. Let f be 0*(o\/(-2) + 2). Which is greater: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u**3 - 68*u**3 + 3*u**3.\nAnswer: -104*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 732 - 720. What is the highest common divisor of x and 507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 12 = -u. Let t(k) be the third derivative of -k**4\/8 - 7*k**3\/6 + 19*k**2. Is 11 a factor of t(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 559 - 524. Suppose 0 = -c*i - 24 + 304. Solve 7 = i*t - 17 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*m**4 + 3180*m**3 - 9*m**2 - 17*m - 111280.\nAnswer: 432*m**2 + 19080*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 + 585\/8. Suppose -7 = 5*l - 2. Which is the closest to l? (a) 3\/8 (b) q (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3078 + -2103. Suppose 2*h - 185 - x = 0. Let u = h + -249. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0*k + 1 + k**2 + 2*k - 5*k**3 - k. Let r be j(-2). Suppose -33 - r = -4*b. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 118*p**2 + 119*p + 475. Let f(g) = 13*g**2 + 13*g + 50. Let i(h) = -57*f(h) + 6*o(h). Calculate i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(288) - -3*sqrt(288)) + 2 + 0 + sqrt(5) + sqrt(5) + -1*sqrt(80))**2.\nAnswer: -47*sqrt(5)\/6 + 13349\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*p**3 + 23*p**3 - 40*p**3 + (0 - 2 + 3)*(p**3 - p**3 - p**3) + p**3 + 0*p**3 - 3*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1130*u - 4 + 568*u + 538*u)*(2*u - 5*u + 2*u) to the form q + b*u**2 + g*u and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -84\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -6907.\nAnswer: -1\/6907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 269365231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 7*d**6\/60 + d**5\/60 - d**3\/6 + 3*d**2\/2 - d. Let s(v) be the first derivative of c(v). Is s(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (0 - 0\/(-1)). Let k = -3 + b. Suppose k = v - 9 + 3. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -23\/3, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - 5*t + 7. Let f be x(5). Let a = f + 92. Round a to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451721386 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 231 + -368. Let r = 298 + u. Let s = 160.999903 - r. Round s to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*h**3 + 40*h**3 + 2*h + 1 + 6 - 86*h**3 in the form a + x*h**3 + w*h**2 + v*h and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11*d - 9. Let n be f(-2). Suppose -2*i = l + n, 3*i + 30 - 12 = -l. Let x(g) = -g**2 + 6 + 3*g**2 + 5*g - g**2. Calculate x(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21653421?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336211.\nAnswer: 336211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q + 20 = 16*q. Let f(m) = m**2 - 79*m - 69. Let r(d) = 2*d**2 - 80*d - 70. Let x(i) = q*f(i) + 4*r(i). Is x(-32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 4*g**2 - 5*g - 1. Let j be h(-5). Is 3 a factor of (j - 2) + 2 + 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + (1 - 0) - (-21 - -37)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y - 18*y - 56 = -y. Put -4, y, -3349 in decreasing order.\nAnswer: y, -4, -3349","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 + 6*l**2 + 0*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/70 - k**4\/14 + 4*k**2\/7 - 168*k. Factor g(y).\nAnswer: -2*(y - 1)*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -749*n**2 - 15 + 749*n**2 - n - 2*n**3 to the form w*n**2 + h + k*n + c*n**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333 and 2178264.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 + 5*f + 201. Let c(v) = -v**2 + 2*v + 100. Determine 5*c(d) - 2*t(d).\nAnswer: d**2 + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3436550, 3436487, 3436386, 3436253, 3436094, 3435915?\n\"Answer: m**3 - 25*m**2 + 5*m + 3436569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36066 plus -1165823?\nAnswer: -1201889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 2\/91, 557\/3 in increasing order.\nAnswer: 2\/91, 25, 557\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkjuiukhjuhiu. What is prob of picking 1 j and 1 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 4, 250, 0, 5, 36 in ascending order.\nAnswer: 0, 1, 2, 4, 5, 36, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 18050000 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-14)*(-36)\/(-5)*25\/50\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 69 (base 13) to base 15\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -59556.9 + 5058?\nAnswer: -54498.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 + 7*k**3 - 15*k**3 + 6*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1120, -4, -0.02, 0.2 in ascending order.\nAnswer: -16, -4, -0.02, 0.2, 1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**12*j**(1\/3)*j)**(-46) assuming j is positive.\nAnswer: j**(-1840\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 16*o + 15 = -18*o, 5*o = 4*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(25\/20) + 53. Find the second derivative of 66 + 58*k - z*k**4 - 54*k - 61 wrt k.\nAnswer: -588*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**7\/l)*(l*l**13*l*l)\/l assuming l is positive.\nAnswer: l**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f + 56. Let a = f + 64. Which is bigger: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3146 + -984. Suppose 2*v = 2*j + f, 0 = -2*v + v + 1. What is j rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.07 in -6, 4, 1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-175))\/(-1 + 9 - (-1604)\/(-200)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 + -100. Which is the biggest value? (a) 5 (b) -0.03 (c) q (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**8\/1344 - a**7\/280 - a**6\/480 + a**5\/80 + a**4\/48 - 28*a**2. Determine f, given that x(f) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 3:33 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 + 1. Let v be -2 + 3 + (0 - -1). Let x = -97.099 - -96.599. Which is the closest to 0? (a) v (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/5))**(-2\/11) assuming x is positive.\nAnswer: x**(-6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 + 2260*r\/9 - 638450\/9.\nAnswer: -2*(r - 565)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 253 = -3*f. Calculate the remainder when f is divided by 38.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Suppose q*y - 5*o - 145 = 0, 3*o - 130 = -2*y - 2*o. Suppose -y = -5*i - 15. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*1)\/(sqrt(144)*3).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 + 2. Let t be (-1)\/(14\/(-6) + 2). Let i = t - 3. List the prime factors of j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/61)*f**6 assuming f is positive.\nAnswer: f**(368\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5487*d**2 - 15809*d**2 + 6482*d**2 + (-2 + 1 - 1)*(4 - 4 - 2*d**2).\nAnswer: -3836*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from kkqqjbqjbqcpkkj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/6 + (-2405)\/1332 and 3 - (740\/384 + -1 + 3)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + o + 22 = -0*f, 5*f - 28 = -o. Suppose 1083 = 8*s - f. Calculate the greatest common divisor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1511736 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.5, -2\/5, 11 in descending order.\nAnswer: 11, 10.5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 9*w**2 + 12*w + 12. What is h(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 722 and 123454.\nAnswer: 44566894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a = 63. Suppose -5*c + 3*c = p - 36, 0 = -5*c + 5*p + 90. Suppose c*h - 402 = 12. Which is bigger: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-1)\/(-9)*3. What is the highest common factor of 3 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqgjqilgqglgggqq. What is prob of sequence liqg?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/725 - 7036\/224025. What is the common denominator of k and 16\/33?\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/7, -3, 2\/7, -207, -1.7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 1005.9501?\nAnswer: 31184.4531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9 + 2*i + 6 - 6. Let j be n(6). Suppose -257*y + 259*y - 54 = 0. What is the greatest common divisor of j and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 + 0.5. Let u = 0.22 - n. What is the third smallest value in -3, 1\/8, u?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - 17*c - 520*c**3 + 17*c - 86*c**3 as n*c**3 + a*c**2 + p + j*c and give n.\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 142095, 283537, 424979, 566421, 707863, 849305?\n\"Answer: 141442*l + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/15 - j**4\/3 + 11*j**3\/6 + j**2. Let q be ((-15)\/(-12))\/(2\/8). Is b(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 34 = 4*f, 1664*k - 4*f = 1668*k - 40 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -94. Suppose 0*m + 3*m = -g*m. Suppose -5*i + 0*i + 2*w + 11 = m, 0 = 2*i + 2*w + 4. Is 4\/39 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 2*r - 7. Let l be q(-5). Suppose 3*u = -5*d - 86, u = 2*u + 2. Let j be d\/(-56) - (-444)\/14. What is the greatest common factor of j and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1133300 + 12203222?\nAnswer: 11003322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966880 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-4))\/((-110)\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/35)\/((-1)\/15). Suppose -5*x + 3*l = -54, -2*x + l - s = -3*x. Calculate the highest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**6\/180 + 9*f**3 + 2*f**2 - 3. Let j(w) be the first derivative of n(w). Let m(h) = 6*h**2. Give j(m(b)).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -203*c + 206*c + 4, m - 4*c = 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 5. Let k = 1.06 - 6.06. Let f = k - j. Which is the closest to 1\/4? (a) -3\/4 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346 - h**2 - 118 - 111 - 117.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-7)\/(-84)*0)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 760402.\nAnswer: 23\/760402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 7*k = 23*k - 999. Suppose -4*z + z = -15. Suppose 2*a - b - 52 = 2*b, z*a - 4*b = 116. What is the remainder when k is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 39*p - 30. What is r(-15)?\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3099 = 14*c - 2151. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9396065085?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90587247 to the power of 1\/2, to the nearest integer?\nAnswer: 9518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -540, -837, -1132, -1425, -1716?\n\"Answer: i**2 - 300*i - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**3)**(2\/135)\/(u\/u**(-1\/3)*u)**34 assuming u is positive.\nAnswer: u**(-10702\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.59 - -0.4?\nAnswer: -186.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11290*s**2*z**3 - 25*s**2 + 83*s*z + 38421*s wrt z?\nAnswer: 33870*s**2*z**2 + 83*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21a (base 13) to base 4.\nAnswer: 11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = 5. List the prime factors of w + (-3 - (0 - 8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3249 divided by -171.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.5 (c) 56149 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence momb when four letters picked without replacement from higghhghgghgbmmo.\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 32. Suppose 0 = -72*g + 76*g + x. Is (-132)\/(-2) - (0 + g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -553438488 divided by -284106\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.81679 rounded to two decimal places?\nAnswer: 7.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1475664*s**4 + s**3 - 78806*s**2 + 2*s + 77.\nAnswer: -35415936*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*i - 10353*c - 60053*i wrt c.\nAnswer: i - 10353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*i - 606 + 626, -5*s + 31 = 3*i. Factor -2\/3*a - 2\/3*a**s + 4\/3.\nAnswer: -2*(a - 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/3 + (2 - 6). Let o(t) be the third derivative of r - t**2 + 1\/24*t**4 + 0*t**3 + 0*t. Let c(j) = -2*j**2. Give c(o(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -207119, -414361, -621603?\n\"Answer: -207242*m + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*u - 14. Suppose -4*d + 142 = -2*d + 4*f, 2*f = 4. Calculate the remainder when d is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45986, 46031, 46088, 46163, 46262, 46391?\nAnswer: 46556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(3\/3) - 3. Let o(b) = b**2 - 7*b + 7. What is o(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(153) - (sqrt(153) + 0) - sqrt(153))**2 + sqrt(17) + 3*sqrt(17) + 1).\nAnswer: -770 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*l**2*n**4 + 3379*l**2*n**2*p - 66272*l**2*p + l**2 - 2*p with respect to n.\nAnswer: 68*l**2*n**3 + 6758*l**2*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53351 (base 9) to base 16.\nAnswer: -89d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiod when four letters picked without replacement from {i: 2, e: 2, o: 1, d: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 271*d**2 - 617*d**2 - 420*d**2.\nAnswer: -2*d**3 - 1308*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*h = 10*h + 770 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032354127 rounded to 5 decimal places?\nAnswer: -0.00324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -967.655 - -21.3?\nAnswer: -946.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75.5 + -216.4. Let x = -141 - b. Suppose 5*j = -0*d - 5*d, -2*d = -4*j - 12. What is the closest to x in 0, 5, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -j + 2*j + 6, 2*j - 15 = 5*o. What is the common denominator of (j - 2)\/(1 - (-117)\/(-93)) and -23\/13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994473.\nAnswer: 3, 47, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 579656 (base 13) to base 10\nAnswer: 2077250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v - 8 - 190 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7980 and 263970?\nAnswer: 10030860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(3\/4)\/c)\/c*(c*c*c*c**3)\/c)**(-5))**(-38) assuming c is positive.\nAnswer: c**(1425\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*v - 3 + 15 = 0, 0 = 4*a + v + 4. Suppose a = o + 72 - 1960. List the prime factors of -1 - (-2)\/6 - o\/(-24).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.14 (c) 1\/70 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -25*o**3 - 3*o**2 - 3*o - 5. Suppose 5*j - 22 = -42. Is s(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1400797?\nAnswer: 31, 73, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 632307333?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 6. Let u be b(-5). Suppose 7*t - u*t = 2*i + 30, 0 = -5*t + 4*i + 50. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + 3 + sqrt(567) + 0 + -4)**2.\nAnswer: -3408 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14\/9 (b) 10 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -5*a**4\/12 - 23*a**3\/6 - 6*a**2 + 110*a - 2. Solve q(o) = 0.\nAnswer: -4, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0 + 0*v**4 + 3*v**2 + 0*v + 1\/12*v**5 + 2\/3*v**3. What is the first derivative of i(a) wrt a?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-300)*-15*(-1)\/(6\/(-10)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/11, -31, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-8)\/12)\/(7 - (-510)\/(-72)) and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.3 + 26.3. What is the second smallest value in 1\/14, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 + 16 + (0 - -3). Suppose -20*x + p*x + 10*x = 0. Suppose 160 = 8*r - x*r. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66 and 29.\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 7 - (-4)\/4. Let c be 20 - (4*d)\/(-3). Suppose 6*t + c = 10*t. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -4*p + 4*g, p - 3*p = -3*g - 119. Let f = p - -65. What is the remainder when f is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*k - 51*k - 61*k - 29*k + 245*k - 53*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/7))**(-46)*(o\/(o\/((o**(-3\/8)\/o*o)\/o)))**(2\/27))**2 assuming o is positive.\nAnswer: o**(-14981\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -54. What is the units digit of ((-36)\/(-12))\/(f\/164)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 310\/(-39) + 32\/4. Let d be (12\/135 + 0)*(-5 - -10). Put t, d, -0.4 in decreasing order.\nAnswer: d, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 25*n + 30360 = 0. Let q = -522 + n. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8719 * -31.\nAnswer: 270289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62097 - -111062. What are the prime factors of c?\nAnswer: 5, 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.2, 1\/8, 0.1, 3\/7, -0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - g**2 - 8*g - 5. Let q be i(4). What is the greatest common factor of 693 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -358. Is n a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189957592 and 13940.\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-60))\/(5\/1875*-3). Suppose -746129 = -y*t + 59421. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 183.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -47. Let z(u) = 4*u**2 + u - 1. Let f be z(1). Suppose 2*y = -b + 2, 4*y + 4*b + 1 - 5 = 0. Put l, y, f in ascending order.\nAnswer: y, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(9 - 8)\/1. Let p = 0.2 - -0.1. Let s = -9 + 6. Which is the second biggest value? (a) j (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3588, 14526, 32756, 58278, 91092?\nAnswer: 131198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -1, -5.611?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 1\/12*j**5 + 0*j**2 - 5\/2*j**3 + 87*j + 0 + 10\/9*j**4. Let d(a) = 0. What is a?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 1, r: 2, b: 1, c: 2, o: 4}. Give prob of sequence jof.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 j, and 1 c when four letters picked without replacement from cmcjjyyffffcymym.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -17*b**3 - 4*b**2 + 1. Let g(k) = 35*k**3 + 7*k**2 - 1. What is -3*g(s) - 5*u(s)?\nAnswer: -20*s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 18 = 2*r, 4*r = -v - 3868 + 3882 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000090039 to seven dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:59 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (43 + -16 + -44 - (0 + -11))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1962868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*o + 1910 = 5*f + 77*o, 0 = -4*f + 4*o + 1528. What is the greatest common factor of 5539 and f?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300124 (base 5) in base 2?\nAnswer: -1001111011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o. Suppose 0 = -z + v + 8, 0 = -3*z + 4*z - 5*v - 8. Let x = z - -2. Solve o*g + 2*g = x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*2\/3. Suppose -4 - v = 5*o. Is (-267)\/6*(o - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = -3*c. Let h be c\/(-35) + (-635)\/(-7). Suppose h = g + 13. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 41*r - 17*r + 53106. Calculate the least common multiple of 10 and r.\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-30) - 421\/(-5). Differentiate -c*y**2 + 84*y**2 - 30 + 4*y**4 + 0*y**4 wrt y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27346\/(-242))\/113*1*1*-59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t - 109 = -389 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (2 + (6 - 8)) - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 - 28 - 132 + d**2 - 80 + 4*d**2 + 108.\nAnswer: 5*d**2 - 263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 326456496 to the nearest integer?\nAnswer: 18068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/10, 0.2, 0.7, -2\/23 in descending order.\nAnswer: 1, 0.7, 0.2, -2\/23, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.1 (c) -2\/7 (d) 4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235 is divided by 385?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-22)\/8)\/((-5)\/20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589757782 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 43365*i - 216950.\nAnswer: 5*(i - 5)*(i + 8678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -12249 + 12319 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11622303.5999745 + 11622307. Let v = 3.4 - d. Round v to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 9.\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1096021\/309 - 3547. Let p = -287\/3399 + c. Let y(w) = -w**2 - 3*w - 1. Let s be y(-2). Is s >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {g: 2, i: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**3\/6 - 7*l**2\/2 - l. Let r be h(0). Let n = r + 12. Solve 40 = 5*o - 0*c + n*c, -3*o - 2*c = -20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = -24. Let u(n) = n**3 - 6*n**2 + 2*n + 8. Let b be u(y). Let d = b + -8. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 4*i**2 + 8. Determine n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 617544 - 1a?\nAnswer: 617528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -295.932 times -0.008?\nAnswer: 2.367456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77 - (-4630)\/60)*(0 + 6\/25)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13749640 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -287, 4031, -1, 4, -2 in ascending order.\nAnswer: -287, -2, -1, 4, 4031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 10:55 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/5924180 and 143\/41469260.\nAnswer: 41469260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3))**(-19\/3))**(1\/13)*(r**(-1\/4))**13\/(r**2*(r**(-2)\/r)\/r) assuming r is positive.\nAnswer: r**(-661\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 7*f**4\/3 - f**2\/2 - 2498*f. Calculate c(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*5740\/((-1512)\/54)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 15, 1438 in decreasing order.\nAnswer: 1438, 15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1394228 - 1548458.2. Let u = -154247.50097 - b. Let g = 17.3 + u. What is g rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 6 - 4)*(4*j**2 - 4*j**2 + j**3)*(-55*j - 4 + 17*j + j) to the form w*j**3 + y*j**2 + i*j**4 + o + u*j and give i.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 552*s**2 - 3535*s - 91. Calculate c(6).\nAnswer: -1429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414476958?\nAnswer: 2, 3, 7, 9868499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 84370066283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.1 greater than or equal to -1.29997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 592*o**3 + 2295*o**2\/2 + 868*o. What is the derivative of l(g) wrt g?\nAnswer: 3552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7))**(4\/17))**(-3\/7) assuming a is positive.\nAnswer: a**(24\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-317)\/(-16167)*1275\/(-60)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44312343 to the power of 1\/3, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12168432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 337667532*w**2*y**2 - w**2*y - w**2 - 122*w - 984*y + 4 wrt y.\nAnswer: 675335064*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -19. Let b(i) = -2*i + 13. Let t(n) be the second derivative of n**3\/6 - 3*n**2 - 7*n. Let m(o) = j*t(o) + 6*b(o). Let y(g) = g**2. Give y(m(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -4657590.\nAnswer: 41918310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -63. Let y(z) = z**3 - 6*z**2 - 7*z + 2. What is the smallest common multiple of y(7) and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -14*c**2 + 11*c + 1. Let r(d) = 3*d**2 - 2*d. Let h(m) = -2*q(m) - 11*r(m). Differentiate h(z) wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 10*f**3\/3 - 11*f**2 + 6*f - 95. Let c(h) = h**2 + h + 1. Let d(i) = -6*c(i) + q(i). Factor d(a).\nAnswer: 4*a*(a - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*z - 0*z - 3*y, 5*z - 11 = -y. Factor -6*m - 2*m - m + 3*m**4 + 9*m**z - 6 + 3*m**2.\nAnswer: 3*(m - 1)*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3895.9 * -4\nAnswer: -15583.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -l + 3*l - 17, -3*l = -s + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186028802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v**3 - v**2 - v + 1. Let w = -87 - -86. Let c(j) = -j**3 - j**2 - j. Let u(h) = w*q(h) + c(h). Calculate u(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4\/7, 2\/9, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1953\/820 - 3\/164. Let x = f + 77\/30. Let z = -2\/105 + 37\/105. Which is the second smallest value? (a) 0.4 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y + 0*y)*((3 + 1 - 2)*(-4*y**2 + y**2 + y**2) - 529*y + 41*y**2 + 529*y)*(4 + y - 4).\nAnswer: 74*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -0.2182?\nAnswer: -4.2182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -956*j**3 - 335*j**3 + 104*j**3.\nAnswer: -1187*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/6)\/(20\/(-30)). Let x = -10 + t. Let h be (18\/10)\/(6\/4). Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 48836 + 20808 = 0. Suppose 4*w - o = -1079. Is 5\/((-30)\/w)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 806043184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 365.7 - 81.5632868.\nAnswer: 284.1367132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3948 + 4?\nAnswer: 3951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -332*b**5 + b**3 - 8*b**2 + 23?\nAnswer: -19920*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = 3*w, -17*w + 6*w + 30 = -m. Solve -m*z - 27 = -2*s - 12, -5*s - 4*z = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56549 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 325*i - 647. Let k be n(2). Solve k*g - l - 14 = -19, 0 = -2*g + 3*l + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 3, 5\/6, -4, -6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -51 + 0*k - 2*k - 2*k + 28 + 39. What is y(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 24077 + 5127 = -4*y, -2*y - 5842 = -l. Let i(w) = -2*w + 3*w - l + 5839. Let p(c) = -10*c + 6. Determine -6*i(d) - p(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 59*p + 3457. What is n(-58)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 357, 358, 359, 360, 361?\n\"Answer: b + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/(-4*(-31)\/(-1860))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 392 - 391.96. Let q = 0 + 0.1. What is the nearest to q in a, 1\/2, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1791871 divided by 2\nAnswer: -1791871\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l + 4. Suppose 0 = -2*m - 3*m + 10. Suppose -k + m*i = 8, 3*k - 7*k = 2*i + 22. Let j(h) = -h + 1. Let v = 70 + -68. Give k*j(c) + v*f(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 - 1 = -26*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 185072 = -3*v + 208564, 2*a + 3*v - 262423 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 43*l**2 - 2*l - 1. Calculate z(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*u - 89, 4*a + 56 - 4 = 4*u. Let g be (-2)\/(u\/(-4))*(-2 - -12). Calculate the highest common factor of g and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2234.063 - 2235. Let n = -0.93701628 - x. Round n to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 21*o**5\/20 - o**4\/6 - 14*o**3 + 4*o**2 + 19*o - 9. Find h, given that d(h) = 0.\nAnswer: -2, 2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + v**3 - 4*v**3 + (19*v**2 - 43 + 43)*(-58 + 58 - 9*v).\nAnswer: -176*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k = -88*k + 56*k - 224 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x = 2*f - 48*x - 34, 3*f - x = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 592079\/30 - 19742. What is the common denominator of q and 59\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 114.618.\nAnswer: 114.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + -1*(-1 + -1*sqrt(684) + 2 + ((sqrt(684) - (sqrt(684) + 0)) + 2)*-4))**2.\nAnswer: 120*sqrt(19) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 5*a + 5*a)*(10 - 30 + 16)*(0 + 1 + 1)*(-3*a + 4*a + a).\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-21 + 6 + 0) - -11.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h + 12 = 0. Suppose 2*g + 2*j = 8, -5*g + 19 = -0*g + h*j. What is the smallest value in 2\/13, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04218 and -912.\nAnswer: 38.46816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 315 + -317. List the prime factors of (-16620)\/(-24) + (5\/c)\/5.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -131*g**2 + 696*g - 7. Determine w(6).\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itttttitttti. What is prob of sequence iitt?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -10 - ((-3)\/1 - 23). Suppose 2*d = -3*d - 5*k + 125, -8 = 4*k. What is the highest common divisor of p and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s + s)*(-3 + 0 + 1 + (-3 - 4 + 3)*(-2 - 1 + 0)).\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -23. Let k(t) = t**2 + 2*t - 1. Let n be k(a). Suppose 5*s = 23 + n. Calculate the highest common divisor of 154 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3 - (5 + -1 + (-9 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -14. Let q = -6 + 7. Suppose 0*j + q = j. Solve -d = k - j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(45)*-2 + sqrt(45) + sqrt(180)\/(3*sqrt(4) + sqrt(4)))**2.\nAnswer: 61605\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 6070*y - 200600.\nAnswer: -5*(y - 1180)*(y - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5. Let b(r) = 4*r - 6. Let u(j) = -7*j + 12. Let o(y) = 5*b(y) + 3*u(y). Suppose 0*c = -52*c + 208. Calculate c*o(k) - 5*f(k).\nAnswer: -4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t**3 + 10151*t**2 + 7*t + 18. Let m(a) = 7*a**3 + 5076*a**2 + 3*a + 7. Calculate 2*i(r) - 5*m(r).\nAnswer: -r**3 - 5078*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 13 - 6 + 8 + 4 - 5*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 7 + 35*a**3 + 0*a**2.\nAnswer: 35*a**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y + 36. Let n(k) = k**2 + k. Let q be n(1). Let b(p) = 40*p + 1. Let h be b(q). What is the highest common divisor of y and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126022443 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/53739 and -55\/9?\nAnswer: 53739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 494673397 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 168 = 3*o. Let k be (-18)\/(-24)*o\/(-9). Suppose -k + 112 = 11*p. Solve 2*f - 6*f + 3*g - 5 = 0, -5*f - p = -3*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4471 = 3*l - 2825. Let p = -722 + l. What is p rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-6)*a)\/a**(1\/16))**(20\/11))**19 assuming a is positive.\nAnswer: a**(12065\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y + 2 = 0. Let d be 2\/(-3)*(y - -8). What is the common denominator of 93\/(-154) + d\/(-14) and 57\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(6\/5)\/((b*(b\/(b\/(b*b**(-1\/26)))*b)\/b)\/b) assuming b is positive.\nAnswer: b**(31\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - s**2 + s + 12. Suppose 3*q - d = 0, 0 = -6*q + 2*q + 4*d. Let g be f(q). Solve 0 = -5*w - 8 - g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5457\/(-51) + 54.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*s + 70, 2*c - 42 = c - 4*s. Suppose 0 = 5*a - 64 - c. What is the remainder when 34 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108068929675504 - 0.6.\nAnswer: 108068929675503.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 2696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.44 - 3.3. Let a = -4.14 + c. Sort -16, -1, a.\nAnswer: -16, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52020722 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99)*-5 + 0)**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, 5, -2, -12, 2\/11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 34605 = 34*a - 749229. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8616482617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = 1. Let c = -2 - -6. What is the remainder when c is divided by 5 + 1 + 0 + w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = 5*c - 3376. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 > 514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5547025?\nAnswer: 5, 11, 23, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 - 241*p**2\/3 + 485*p\/3 - 81.\nAnswer: -(p - 1)**2*(p + 243)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, i: 3}. Give prob of sequence ri.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20130310 + 1101?\nAnswer: -20123203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - y. Let q be a(0). Let o be (0 - 1) + (q - -1). Let l be 567\/28 + (-1)\/4. Solve o = -3*t - t + l, -10 = -4*c - 2*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - -7038282423?\nAnswer: 7038282422.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-323)\/(-51))*((-84)\/(-88))\/7?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 96*b**4 + 67*b**4 + b**3 + 28*b**4 - 3 + 9*b**2 to the form i*b**4 + t*b**2 + w + j*b + r*b**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {t: 2, j: 1, o: 7, c: 4, m: 2, k: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 - -47. Let n = -16 - f. Differentiate -5*p + n - p + 40*p wrt p.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 606265.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/10 - 13006811*h\/10.\nAnswer: h*(h - 13006811)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -563 + 85587\/152. Find the common denominator of -36\/133 and g.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(6)\/sqrt(3) - (sqrt(96)\/sqrt(4))\/sqrt(12))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465 is divided by 64?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/315)\/((-5)\/4 + 1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 8790*l**2 - 52712*l + 70272.\nAnswer: -(l - 8784)*(l - 4)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 4.003255.\nAnswer: -12.009765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112 - (-55 - (-8 - (-12 + 31)))?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1267.1 - 1321. Let x = m - -54. Put -3\/4, x, -3 in descending order.\nAnswer: x, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69847 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 14*o**5\/5 + 25*o**3\/3 - 47. What is the third derivative of a(c) wrt c?\nAnswer: 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(9 - 2 + 2)*(2 + 3 + u - 2).\nAnswer: 9*u + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 - 50. Suppose 2*u + 2*n - 36 = 0, u + n = 3*n + 12. What is the highest common divisor of f and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, 10, -85, -2, 5.\nAnswer: -114, -85, -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14264979671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(2*w - 2 + 2) + (-2*w + 0*w + 0*w)*(2 - 4 + 0)*(-1 + 1 - 2) in the form j + c*w and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a week?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**6\/168 - k**5\/280 - k**4\/14 + 17*k**3 - 83. Let s(i) be the third derivative of c(i). Factor s(q).\nAnswer: 3*(q - 1)*(5*q + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -11*i + 6*i + 7*i. Let r(k) = -2*k. What is r(l(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325, 331, 337, 343, 349, 355?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/9)\/(6\/9). Which is the closest to d? (a) -4 (b) -0.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1204 or 1205?\nAnswer: 1204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - d**3 + 3*d**3)*(2*d - 1 + 1) - 4*d**3 + 0*d**3 + 4*d**4 + 5*d**3 + (0*d**3 - d**3 - d**3)*(-15*d + 8*d + 5*d).\nAnswer: 10*d**4 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*n**2 - 14*n**2 - 7*n**2 - 15*n**2 - 17*n**2 - 17*n**2 + 32*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -19. Solve 0 = -m*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2572990 and 23128.\nAnswer: 10291960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p + 1 = 0. Let x be (p - -1) + (7 - -14). What is the greatest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -46. Which is greater: w or 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 3 + 2 + 3*i)*(2*i - 2 + 2 + (-2*i + 1 - 1)*(1 - 2 - 1)).\nAnswer: -12*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhdhmmhhmmhmhnmhhhh. What is prob of sequence mhnm?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000235932255 to seven dps.\nAnswer: 0.0002359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 6:59 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 21*v + 9. Let z(f) = 5*f + 2. Calculate -2*m(t) + 9*z(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(114)*4)\/(-5*(sqrt(6) - (sqrt(6) + (sqrt(24) - sqrt(6))))).\nAnswer: 2 + 8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 8573.41 to the nearest one hundred.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/13 and 59\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7800*v**4 + 5077*v**2.\nAnswer: -187200*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -71, -0.1, -2 in ascending order.\nAnswer: -71, -2, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/219175 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 417, -1, -2\/9, 105, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 258, 0.3, 209\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -418 take away 0.3?\nAnswer: -418.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 505570 and 381122.\nAnswer: 24772930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 13. Suppose f = -g - 2*r - 142, -r + 150 + 445 = -4*g. Let y = -103 - g. 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: Expand (-q - 2 + 2)*(-2*q - 2*q + 3*q) + 3*q**2 - 2*q**2 + 5*q**2 + q**2 + 3*q**2 - 15*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579639 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*y + 2 - 1, -4*o + y - 18 = 0. Let c = o - -8. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273706, 547411, 821116?\nAnswer: 1094821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-3*1\/(-3). Suppose 0 = b*m + 10. Let u be (2\/(-4))\/(m\/450). What is the greatest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**3 + 5*v**3 - v**3 + (-25 + 25 - 7*v**2)*(2 - 2 + 2*v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 12*x**2 - 11*x + 5. Let m be u(11). Solve 0 = -5*z - 0*z - m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/42)*x*x*x**(-9))\/(x**(-47)\/(x\/(x\/(x*x**44*x)))) assuming x is positive.\nAnswer: x**(3613\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 - 856 - 1520 = -404*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5\/7 + 9*h**4\/7 - 3*h**3\/7 - 33*h**2\/7 - 36*h\/7 - 12\/7 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q - 45. Let n(v) be the third derivative of -v**3\/6 + 3*v**2 - 33*v. Give i(p) - 45*n(p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:58 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 276\/13, 3, -45, -5, 0.1, 4?\nAnswer: 276\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 2)*(58 + 2*l - 58).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-16) - (3 - 10\/15)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*k + 26*k - 51*k + 14*k**2 in the form v + n*k**2 + o*k and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-32)*26\/(-455)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 12430640.\nAnswer: 3\/6215320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*r**2 - 251*r + 251*r - r**2 - r + r - 4*r**2 + 2*r**2 + 0*r**2 + (5*r - 5*r + 2*r)*(-2 + 2*r + 2).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*1\/(-3)*2. Solve -6 = -b - j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 = -0*s + s, -3*s - x + 5 = 0. Suppose -4*h = 1 + 7. Let y be h - -2 - 1 - -6. Which is the smallest value? (a) y (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**7\/840 + x**6\/40 - 9*x**5\/40 - x**4\/24 - 2*x**2. Let o(a) be the second derivative of s(a). Find r, given that o(r) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -348 + 624. Let p = -181 + x. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 2*v + 13. Let i be k(-2). Let g = 3296305\/55006 - -9\/3929. Let s = g + -119\/2. Which is the closest to i? (a) 5 (b) 1\/6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*d + 107*d + 0*d**2 - d - 208*d + 3*d**2.\nAnswer: 3*d**2 - 272*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -218 - -235. Suppose -77 = f*j + 42. Let o(z) = z**3 + 8*z**2 + 8*z + 4. Let a be o(-7). Sort 2, a, j in decreasing order.\nAnswer: 2, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395964031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0387386 and -0.17.\nAnswer: -0.1312614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 34104 + -187372.6\nAnswer: -153268.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43535, -87068, -130601, -174134?\n\"Answer: -43533*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73409, -146837, -220287, -293759?\nAnswer: -367253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d - 41*d + 480 = 0. Suppose 0 = 77*i - d*i + 708. Let u = 499\/2 - i. What is the common denominator of u and -101\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + -7 + 13 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -874 + 729. Suppose -2*l + 717 = l. Let d = l + k. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32975 - 4?\nAnswer: 32971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1238291?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 338584.6 millimeters?\nAnswer: 338.5846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2. Let b(n) = -4*n**2. Calculate b(f(z)).\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gppguppplg. Give prob of sequence lu.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from meqmvvvv. Give prob of sequence vemm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - -4055510?\nAnswer: 4055452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*a + 2\/5*a**3 + 32\/15*a**2 - 32\/15.\nAnswer: 2*(a + 2)*(a + 4)*(3*a - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Let f = 5.54 - 5.94. What is the second smallest value in -0.3, f, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 13*u - 76. What are the prime factors of m(18)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and -12.75755?\nAnswer: 19.136325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**9\/896 - 9*t**8\/2240 - 3*t**7\/560 - t**6\/360 + t**3\/3 - 4. Let c(i) be the third derivative of p(i). Solve c(j) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5 + 8*q**4 - 2*q**4 + 0*q**4 wrt q.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 1, 5, -2\/3, -68\/7, -3338?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6840241060415 take away -7?\nAnswer: 6840241060422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 179988*(-2 + -2 + 5). Suppose -m - 2 = -5, 4*m + p = -3*c. What is c rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703623.\nAnswer: 3, 234541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (26 + (-6560)\/(-128))\/(7*-1)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.284 - 30.866. Let y = d + 0.15. Let v = 26 + y. Which is the third smallest value? (a) v (b) 3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*5*(-15)\/(-15). Suppose -4*r = -4*o - 80, -10 = -5*o + j. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40909959971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {s: 2, o: 4, y: 2, j: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4\/4 + 39*q**3\/4 + 3*q**2\/4 - 39*q\/4 = 0. What is q?\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -2. Let w(v) = -7*v - 5. Let r(x) = -4*x - 3. Let j be (-6)\/(-9) + 0 + 73\/3. Suppose m + j = 6*m. Calculate g*w(f) + m*r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2 - 17010*j + 51057 = 0 for j.\nAnswer: -5673, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14649, 14415, 13783, 12555, 10533, 7519?\n\"Answer: -33*z**3 - z**2 + 14683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152\/245 + -1\/49. Let a = 315565.4 + -315555. What is the nearest to 0 in 1\/6, a, g, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxmxdxmxpmm. What is prob of picking 4 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1247 + 1247 + 240*q**2 - 709*q**2.\nAnswer: -469*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3*sqrt(1944)*1)\/(sqrt(72)*1*4))**2.\nAnswer: 1215\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2. Let p(d) = -25*d + 5 - 5 + 9*d. Calculate p(n(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)\/(a\/(a\/(a*(a**(-5)*a)\/a))))**(-6) assuming a is positive.\nAnswer: a**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2196 and 1?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 151024847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/65 + -411\/455. Let z = -20 - -20. Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + 0)\/((-36)\/8 - -3). Let -17*v**3 + 11*v**3 + 14*v**3 - t*v**5 - 4*v = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*r + 5 - 1, r - 4*g - 1 = 0. Suppose -6*p + r = 7. Let h(i) = -2*i**2 - i - 1. Calculate h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 - -177?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.01879m in centimeters?\nAnswer: 7401.879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112.2 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*d = -19, 37*q - 2*d + 4 = 39*q. Let i(w) = -3*w**3 - 5*w**2 - 9*w - 6. Calculate the smallest common multiple of i(q) and 3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2262 = -3*m, 4*m + 0*i - 3052 = -5*i. Does 63 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125844 - 2479\nAnswer: -128323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q - 2*q - 2*q + (1 - 2 + 2)*(3 - 2*q - 3).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62653045 (base 7) in base 13?\nAnswer: 113306b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*j + 232*j = 440*j + 466*j - 7240 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 5.7\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321388 divided by -2?\nAnswer: 1160694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f - 8. Let x be v(-1). Is 4\/31 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*x - 744 = 415*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 2*x + 4, -j - j = 4*x + 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17478*k - 3 + 17481*k + 3. Let w(t) be the first derivative of -3*t**2 - 2. Let q be (-4)\/22 - (-120)\/55. Give q*w(c) + 5*r(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 + 2*y**2 - 4*y + 19. Let a(c) = -c**3 + c**2 - 2*c + 8. Determine -13*a(u) + 6*o(u).\nAnswer: -5*u**3 - u**2 + 2*u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*v = -50*v + 64 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 1, -3 in decreasing order.\nAnswer: 36, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1110393688 to the nearest integer?\nAnswer: 33323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 734548094 divided by 38660426?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4\/15474365, 3, 2\/7?\nAnswer: 4\/15474365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3594?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 54\/71, -2 in increasing order.\nAnswer: -2, 2\/9, 54\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -432\/11*k**2 + 108\/11*k**3 + 0*k - 1\/11*k**5 + 0*k**4 + 0.\nAnswer: -k**2*(k - 6)**2*(k + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14404*l = -14315*l + 89 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 296221 divided by 2\nAnswer: 296221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 30*h**2 + 4*h - 3. Suppose 3*c - 1 - 11 = 0. Is z(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**2 + 2*b + 1. Let l(j) = 17*j**2 + 4*j + 2. Let p(g) = 3*l(g) - 5*m(g). Let v be p(-1). Sort -5, 0, v, 4 in descending order.\nAnswer: v, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 5\/2*l**2 - 5\/3*l**3 - 1\/4*l**4 - 31 - 4*l. Let d be n(-6). Sort 2\/11, 3\/4, d in descending order.\nAnswer: d, 3\/4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 56*k**2 - 51*k + 310. Determine g(-57).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - w. What is the units digit of n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q = 10. Suppose 0 = -2*z + 14 + q. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -36*o**2. Let c(w) = 205*w**2 + 40. What is c(b(y))?\nAnswer: 265680*y**4 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/204 and -70\/663.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i + 9. Give p(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 73?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 65*r**2 - 500*r - 159. Give u(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 0*q**2 + 7\/2*q**4 + 1\/3*q**3 + 46*q + 73. Find the first derivative of f(z) wrt z.\nAnswer: 42*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.62737 millilitres to litres.\nAnswer: 0.01762737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/126 and -73\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 10840563.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -47, -85?\n\"Answer: -38*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003118 rounded to six decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*((j**6\/j)\/j)\/j))**4*(j*j*j*j**11*j)\/(j*j**(5\/9)\/j) assuming j is positive.\nAnswer: j**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.47 and 2641.\nAnswer: -1241.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -1, -4867 in increasing order.\nAnswer: -4867, -6, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3808.95 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -157, -358, -641, -1006?\nAnswer: -1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-four fifths of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22.3005 times -0.6\nAnswer: 13.3803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 21. Is k(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 take away 12204570527?\nAnswer: -12204570528.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opssosswosbk. Give prob of picking 1 p, 1 k, 1 o, and 1 b.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.61 + -6.71. Let c = 33.9 - i. Sort c, -5, -2, -1 in descending order.\nAnswer: c, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 244*m + 4017. Calculate the remainder when t(-9) is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*-2.0793.\nAnswer: -0.311895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.4 - -3. Let q = x - -4.399862. What is q rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b + 94. Let c(i) = i + 47. Let a(p) = 5*c(p) - 2*n(p). Suppose -171 + 66 = -5*t. Calculate the least common multiple of t and a(11).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43115, 43107, 43099, 43091, 43083?\n\"Answer: -8*z + 43123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 704 and 20?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**4\/12 - q**3 - 5*q. Let c be b(6). Let f(g) = -g**3 - g**2 + 3. Give f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) + 80\/(-14). Let u(s) = -s**2 - 4*s + 6. Determine u(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 88\/(-18)) + 79\/711. Let u = 0.1 + -0.1. What is the closest to u in k, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = 37*j + 144. Let b(h) = -h + 4. Determine b(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -325.1 - -307. Let k = j + 6.1. Are -2\/5 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/6*1\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 18*n + 3. Calculate j(17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:52 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 569344 to the nearest one thousand.\nAnswer: 569000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 14) + (2 - (0 + -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 617917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-130)\/(-429)*11)*4\/(-18)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/15 - 4*o\/5.\nAnswer: 2*o*(o - 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1054*s + 3167*s - 1057*s - 1538*s**2 - 1056*s. Let k(f) = 4*f. What is k(h(c))?\nAnswer: -6152*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 238.4 + -238. Which is the closest to 18\/13? (a) 5 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27845088943 and -15.6.\nAnswer: 27845088927.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -7, -1, -3\/8, -1011?\nAnswer: -1011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -385, -428, -449, -448, -425, -380, -313?\n\"Answer: 11*v**2 - 76*v - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 9.78253.\nAnswer: 11.78253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1135, -9864, -33555, -79690, -155751, -269220?\n\"Answer: -1247*t**3 + t**2 - 3*t + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 2256*w**3.\nAnswer: 4*w**3*(w + 564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 7163405.\nAnswer: 14326810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = 4*n. What is the common denominator of 22\/9 and n\/(-1) - 392\/(-48)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4620 + -5?\nAnswer: 4613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r - r + 0*r)*(2870*r**2 + 7*r**4 - 2841*r**2 - 10*r**4).\nAnswer: -24*r**5 + 232*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -223 or -3346\/15?\nAnswer: -3346\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245727 and 9747.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 238. Let x(n) be the first derivative of 2*n**3\/3 + 1027. What is q(x(u))?\nAnswer: 4*u**2 + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 9:55 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 5*f + 319*o - 320*o, -31 = -2*f + 3*o for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1723*m + 12392 + 10224 = -11754 - 90 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3884 = 2*w, 3*u - 4196 = w + 1630. Calculate the remainder when u is divided by 963.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-27) - (-2 + 2). Let z be (0 - -1)*(-34)\/(-85). What is the closest to -0.1 in z, -1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:32 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21002112220 + -1200?\nAnswer: -21002121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17 + (0 - 0) - 2. Suppose l - 2 = 3, -3*n + 3*l + a = 0. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -378, -521, -772, -1137, -1622, -2233, -2976, -3857?\n\"Answer: -s**3 - 48*s**2 + 8*s - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29580310 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 5*g. Let r(a) = a + 8. Let q be r(-11). Let t be c(q). Let i(b) = -b**2 + 9*b - 6. Calculate the lowest common multiple of 2 and i(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 24*s**2 - 5*s - 2. Let l(y) = -59*y**2 + 11*y + 5. Let x(r) = 5*a(r) + 2*l(r). Calculate x(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22113248 (base 9) to base 5\nAnswer: -10214244243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12191\/4560 + 4\/285. Let u = 511\/10 - 8\/5. Find the common denominator of u and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -82, 0.5, -8\/21?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/3 - 502*f**4\/3 + 31718*f**3\/3 - 23290*f**2\/3 - 490000*f\/3 - 625000\/3 = 0 for f.\nAnswer: -2, 5, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, v: 1, y: 1, e: 1, q: 3}. Give prob of picking 1 v and 1 o.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1203 - 110?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 6:52 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 1)\/1*1 - -51. Let v = -47 + y. Suppose -2*q = 4*r - 14, v*r - 2*r - 2*q - 31 = 0. Solve 21 = -3*b - 4*z, -r*b - 18 = -0*b + z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/16647 and 59\/15.\nAnswer: 83235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:48 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38, 70, 80, 68, 34?\n\"Answer: -11*m**2 + 65*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(4\/3))\/c**(-6))\/((c*c\/(c*c**(-2\/5)*c*c*c))\/(c*c\/c**(-3))))\/((c**(2\/7))**33\/((c**(-3)\/c*c)\/c*c**4)) assuming c is positive.\nAnswer: c**(298\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 + w**2 + 8 - 8 + 7*w as x*w + p*w**2 + u + g*w**3 + t*w**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 + 61*t**3\/2 - t**2\/2 - 61*t\/2.\nAnswer: t*(t - 1)*(t + 1)*(t + 61)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 509*j**4*u - 10*j**2*u**3 + 14877*j*u**3 - 3*u**3 wrt j?\nAnswer: 6108*j**2*u - 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - h + 5*h + 20, 4*u = -3*h - 15. Suppose u = -15*s + 5009 + 1996. What are the prime factors of s?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(33)\/sqrt(3))**2 - (sqrt(132)\/(2*sqrt(12)))**2 - ((sqrt(11) + -1)**2 + -5 - (0 + sqrt(11)*1)).\nAnswer: 9\/4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 7. Let m(f) = 7*f - 1. Let y be m(1). Suppose -3 - y = -3*c. Suppose c*u = 5*o, -5*u + 3 + 10 = -4*o. Give s(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40 + -4 - 2*1. Let t = -20 + p. Solve 0 = 5*d + 1 + t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 6*r + 5*r + 1205*r**2 - 572*r**2 - 631*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:37 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-18))\/(373\/1119)*(-252)\/(-49)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 986*a**3 - 3466*a - 115. What is the first derivative of f(p) wrt p?\nAnswer: 5916*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = g - 104 - 83, 0 = -5*g + 4*y + 946. List the prime factors of g.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w**2 - 282*w - 328015. What is v(-154)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - (-30 + -3 - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 362 + -367. Which is the second smallest value? (a) z (b) 3 (c) -3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 - (-72 - (-68 - -121))?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f = -13. Let q = 17 - f. Suppose o + 0*b = q*b + 18, -4*o = -5*b - 94. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + z - 4*z = -8, 0 = 5*b + 4*z - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 881310, 880937, 880564, 880191, 879818?\nAnswer: 879445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (355*y + 310*y - 126*y)*(4 - 6 + 0) to n*y + v and give n.\nAnswer: -1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 370 = 1463. Let g = 5 - 9. Let y be (-3 + (-70)\/8)*g. What is the greatest common divisor of y and r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1025464 and 6233.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -56*d**3\/3 + d**2\/2 + 15*d + 81. What is the second derivative of m(c) wrt c?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 8*l - 12 = 0. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*v + 18, -6*v = -5*v + 2*t - 8. Solve -102 + 78 = -v*g, 3*s = 5*g - 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9068*f**2 - 125*f + 500*f - 375*f to the form d*f**2 + q + l*f and give d.\nAnswer: 9068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8488 rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 4) to base 10.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*a + 5063 = 4*o, o + 2*a = 2534. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (45\/105)\/(7\/((-56)\/12)). Let c = -0.24 - 0.06. Let q = -8.1 + 0.1. What is the smallest value in c, z, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738603 is divided by 652?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -16*r**2 + 2028*r + 103. Determine t(127).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4*t**7)\/(t*t*t**3)**(1\/13))**(11\/4) assuming t is positive.\nAnswer: t**(759\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-1)\/31)\/((-96)\/13056*68).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -2\/47, -0.05, 3, 270, 5\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 16 = 3*n + 3*f, -f - 2 = -2*n. Suppose -3*g + 6*g = -n*x + 16, 28 = g - 5*x. Solve 2*p - 2 + g = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a factor of 6512052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -2\/19, 0.3, 249, 5 in descending order.\nAnswer: 249, 5, 0.3, 1\/7, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (21 - 14)*((-11580)\/(-9) + (-2)\/3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 16 + 10)*(2*u**2 - u**2 + u**2).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u - 123 = 0. Suppose 4*g - 47 - u = -4*l, -4*l + 112 = 5*g. Suppose -m - g = -2*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -234.0869 to one decimal place.\nAnswer: -234.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 - 0.625\nAnswer: -0.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511479553, -511479551, -511479547, -511479541, -511479533?\nAnswer: -511479523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23714059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*9*2\/4*13020\/(-2790)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 121222?\nAnswer: -121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 773 - 758. Solve -24*t + 87 - z = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 9 + 13 = 0. Suppose 2*d = -8 - 8. Let w = 24 + d. What is the greatest common divisor of c and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47.9999934 + 48. Round v to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 782, 759, 738, 719, 702, 687, 674?\n\"Answer: a**2 - 26*a + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 - d + 1. Let p(w) = 20*w**2 + 13*w + 25. Let r(i) = -6*b(i) - p(i). Let a(o) = -o**2 + 2*o + 10. Determine 7*a(u) + 2*r(u).\nAnswer: u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 110 = 2*l, 137*l - 133*l - 13*y - 280 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 61, -0.2, 3\/85, 9, 1\/5, 4\/25?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*s + 17 = 0, -60 + 50 = -2*b - 5*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - 5 + 5)*(-2 + 4 - 1)*(6*d - 2*d + 0*d).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + c - 1. Let h(n) = n**3 + 10*n**3 + 3*n**3 - 12*n + 12. What is h(r) + 12*i(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 2*m - 53. Let v(n) = -n + 11. Let h be v(11). Suppose 4*b - k = -3*k + m, b - k - 22 = h. Solve g + 0 = 4*l + b, g - 9 = 2*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*((sqrt(68) - 2*sqrt(68)) + 0 + sqrt(68) + 4*sqrt(68)*-2 + -1*(sqrt(68)*-4 + 2)))**2.\nAnswer: 1040*sqrt(17) + 27369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -572982, -572981, -572980?\n\"Answer: m - 572983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 32*h**3\/3 - 3603. Let z(r) be the second derivative of -r**4\/12 + 2*r. Calculate l(z(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.258, 8?\nAnswer: -0.258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -322 - -353. Let u(a) = 12*a - 137. Is u(m) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083600 to the power of 1\/2, to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011011 + -1110001011?\nAnswer: -10010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -2406.\nAnswer: 11\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4945 and 13545?\nAnswer: 311535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/121*(-20)\/(-50)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(171) + 1 + sqrt(171) + sqrt(171) + -1 + 3 + sqrt(171) + 1 + -3)**2 + -5.\nAnswer: 120*sqrt(19) + 2756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 19 = -4. Suppose -5*x + 3*x = -10. Sort f, 0, x in ascending order.\nAnswer: f, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrs when three letters picked without replacement from arlussuz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*b - 255*b + 182*b - 488 in the form j*b + o and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygu when three letters picked without replacement from {g: 1, d: 2, u: 1, y: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(891) - sqrt(891))*-1 + sqrt(891) + sqrt(891))**2 - sqrt(110)\/(sqrt(10) + sqrt(90)*-5).\nAnswer: sqrt(11)\/14 + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-2) + (-5576)\/369.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -40*w**2 - 13*w - 10. Let n(p) be the first derivative of -p**2 + 45. Let t(h) = -k(h) + 6*n(h). Differentiate t(d) with respect to d.\nAnswer: 80*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t + 562. Let z(u) = -28*u + 1687. What is 11*y(r) - 4*z(r)?\nAnswer: 2*r - 566","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9*w*(w**(-1\/3)*w)\/w*w*(w**(-2\/11))**13)**(-32) assuming w is positive.\nAnswer: w**(-8768\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 + -2)\/(4\/94)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 5*g**2 - 22*g - 5. Give r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 3*f. Let j = f + 8. What is the greatest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l**3 + 288*l**2 + 62*l + 22. Calculate the remainder when 384 is divided by g(29).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1339264 or 1339266?\nAnswer: 1339264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85441136?\nAnswer: 2, 11, 23, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-12\/5))\/t)\/t**(-1\/2)*(t\/t**(-23))\/((t**(1\/6)\/t)\/t*t) assuming t is positive.\nAnswer: t**(416\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c + 13. Give n(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -415*m**2 + 129*m**2 + 2 - 72*m**2 + 2*m to the form y*m**2 + n + w*m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0*f**6 + 2*f - 2\/3*f**3 + 149\/210*f**7 + 0 + 0*f**4 + 1\/20*f**5 - 104*f**2. Find the third derivative of d(z) wrt z.\nAnswer: 3576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 12*p - 32 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(6\/7))\/(s*s\/(s\/((s\/(s\/s**(-3\/2)))\/s)))*s*s*s*s**(1\/20)*s**(-1))**(7\/5) assuming s is positive.\nAnswer: s**(517\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 20395?\nAnswer: 6118.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.5, -0.5, -2, -2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 11 = -2*f, 2*f + 0*l = 2*l - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -337 - -436. Let w = c - 695\/7. Is -45\/8 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3, 3, -10\/13, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**1\/n*n)\/n)**18\/(n**(-3)\/((n\/(n*n**(-7)*n))\/n*n))*((n**(1\/2))**(-27))**(-7) assuming n is positive.\nAnswer: n**(243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39)\/(-26)*(-16)\/6. Sort 1, y, 2 in descending order.\nAnswer: 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - -89. Solve q = -2*o + 3 + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + 27 + (-50)\/15 + 4)\/((-3)\/(-72))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9579\/20 - 2596\/5. Let m = -40 - r. Let i = -6 - -10. What is the second smallest value in m, i, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (-2 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005044 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**3 + 68*s**2 - 224*s + 208 = 0?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -112, -174, -240, -310, -384, -462, -544?\n\"Answer: -2*b**2 - 56*b - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23657994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5 + 3. Suppose -16 = u*l - 98. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 11*z**3 - z**3 + (3*z + 56 + 109 - 104)*(-z**2 + 4 - 4).\nAnswer: 8*z**3 - 61*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.766399nm?\nAnswer: 0.000000001766399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.03005\nAnswer: 0.1202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -5. Let i = w + -40. Suppose -i*b = -6*b - 10800000. What is b rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -3*f**2\/2 - f - 6. Let d be g(5). Is 3 a factor of (-5)\/(10\/d) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/29140 and 69\/170.\nAnswer: 495380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 18726 = 2*q, q - 6 = -3. What is the highest common divisor of 65 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**3 - 16502*k**2*y**2 + 12*y**2 + 27070*y wrt k.\nAnswer: -6*k**2 - 33004*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1274*y + 1285*y + 22. Let i(b) = -2*b - 2 - 4*b + 5*b + 3*b. Give i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -0.1, 26, 0, 40 in ascending order.\nAnswer: -0.1, -0.05, 0, 26, 40","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(54)\/sqrt(6)) - (sqrt(612) + 4 + sqrt(17)))**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14545 = 9*r - 25815, 0 = 3*q - 4*r - 24216. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393958771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44531 is divided by 22254?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -4*i**5\/15 + 38*i**4\/3 + 52*i**3\/3 - 599. Factor h(z).\nAnswer: -4*z**2*(z - 39)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 + -166. What is the greatest common divisor of 15 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 210 - 324 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 39. Solve 4*m + u = 17, -2*m - 4*u + 3 = v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25, 4, -1.1, 1, 3\/4, 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 10*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*k - 258*k - 253*k - 262*k + 1278*k - 249*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 + 11*n**2 + 100.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/72*((-3060)\/525)\/(-34))\/(2\/(-69)).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1846 and 568?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -178955231\nAnswer: -17895523.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.1 + -82.1. Let v = n - -77.00094. What is v rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -135\/7 in 1\/148, 5, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5\/3 + 2*l**4 - 7*l**3\/3 - 2*l**2 + 8*l\/3 = 0?\nAnswer: -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-66)\/(-24) + 2\/8. Let p(d) be the first derivative of 0 - 2 + d - d**2 - d**2 - z. Differentiate p(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 4, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5902 (b) 1\/9 (c) 0.3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*v + v + 30 = 0, -34 = -5*r - 3*v. Let m(w) be the third derivative of 7*w**5\/10 + w**4\/4 - 5*w**3\/2 - 2*w**2 + 471*w. Is m(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 - -390. Suppose -4 = -4*j + x. What is the remainder when j is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*t - 0*t, 5*w - 4*t = 0. Let f = 16 + w. What is the units digit of (f\/3)\/(1\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -9*u**3 + 8*u**3 + 13*u**3 - 2*u**2 + u**2. Let j be 6\/(-9) - (-16)\/6. Let g = -1 + j. Give o(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -2 - (0 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35081625 and 12240?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -225*b**2 - 22*b - 38. Let p be q(-2). Is -894 equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-21)\/6 + 52\/2392*1955?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101010111 (base 2) in base 7?\nAnswer: -12646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 10*k - 3. Let q be m(8). Let v(l) = 0 + q*l + 26*l + 2 - 38*l. Suppose -b = 4, -7 = 2*g + 4*b + 17. Calculate v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29008.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -35. Let i = 73 + b. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1600353*i**3 - 207307*i**2 - 2?\nAnswer: 9602118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -3\/8, -15276?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 39. Let k = x + -20. Let z = 9.1 + -8.8. Put z, k, 0.1 in decreasing order.\nAnswer: z, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 135 = 163 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(85)*1 + -5*(-2*sqrt(85) - sqrt(85)))\/((sqrt(320) - sqrt(320)*2) + sqrt(320) - sqrt(320) - sqrt(320) - sqrt(605)*2).\nAnswer: -21*sqrt(17)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 7:33 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -188, -373, -558, -743, -928, -1113?\n\"Answer: -185*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2) - -2)*(-207 + 257) - -14\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5075, -10155, -15241, -20333, -25431?\nAnswer: -30535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5080*z**2 + 1120*z**2 + 2625*z**2 - 2*z + 4598*z**2 - 3357*z**2 in the form s*z + q*z**2 + j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525*o**2 - 242*o**2 - 1 + 1 - 214*o**2.\nAnswer: 69*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 7\/2*i**2 + 0 + 1\/6*i**3 - 2*i. What is z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 8. Let x be s(13). Let p be -4 - (-9)\/((-9)\/x). Sort 0, -19, p in increasing order.\nAnswer: -19, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.59 and -1239.\nAnswer: 731.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((6\/2)\/3)\/1. Let m be (-2 - -2) + (1 - k). What is the second derivative of i + i + m*i - 2*i**4 wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -36.5 (b) -2\/3 (c) -1 (d) 2 (e) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -181704742, -181704740, -181704738?\n\"Answer: 2*u - 181704744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41037605?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((169\/(-156)*-4)\/(1\/6))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76? (a) 4 (b) -2 (c) -1\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -2\/3 (c) 0.56 (d) -1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 1\/2*y**3 + 1\/60*y**5 + 11*y**2 + 0 + 0*y + 1\/12*y**4. Determine a(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 737 - -2?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 354*u**2 + 2832*u - 4. Give k(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, -5, -1 in decreasing order.\nAnswer: -1, -5, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122500 and 2352.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*c**2 + 46*c**2 + 2*c + 49*c**2 - 5*c**2 + 77*c**2 - 7 wrt c.\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*q + 2291654, -2*q - 495117 = -3*g + 879877. Round g to the nearest 1000.\nAnswer: 458000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29 - 18480953546.\nAnswer: -18480953545.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 26*r**2 - 14*r - 14. Let i(a) = -9*a**2 + 5*a + 5. Let p(l) = 14*i(l) + 5*q(l). Let s(u) = 14*u. Give p(s(c)).\nAnswer: 784*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*b - 2*b - 4*b to the form w*b + f and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 8*g**2 - 10*g + 14. Let f be j(-6). Let q be (f\/(-8)*2)\/(2\/(-5)). Which is the third smallest value? (a) -1\/2 (b) -27 (c) -2 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*m**4 + 5*m**2 + 139*m + 231382?\nAnswer: -108*m**3 + 10*m + 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 4 - (1 - 2). Suppose -s + 0*o = 4*o - 18, 2*o = -y*s + 58. Let j = 26 + s. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 162, 368, 588, 828, 1094, 1392?\nAnswer: 1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 16. Let i = -43.8 - -11.8. Let t = i + a. What is the second smallest value in -3\/2, 1\/4, t?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = w - n - 246, n = -4*w + 1023. Let i be (3\/(-2))\/(33\/110). Let o = w + i. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1285 and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2 + (-11)\/(-5)). Suppose 175638 + 4262 = n*t. Suppose 4*h - t = 4*p, 0*h + 18020 = -2*p - 4*h. Round p to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6646608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3115.\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 30979801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2066, 8325, 18756, 33353, 52110, 75021?\nAnswer: 102080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18976 and 41389028?\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 660774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(675))**2 + 4.\nAnswer: 24304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3186222000 to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.055 - -6.005. Let y = 4.76 - s. Which is bigger: 0.03 or y?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/3 - 251. Let c(f) = -2*f**2 + 34. Calculate c(r(u)).\nAnswer: -2*u**4 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 6*q + q**2 - 3*q**2)*(4*q - 3*q + 0*q).\nAnswer: -2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - a4d88?\nAnswer: -a4d89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.2 + -0.2. Let b = 12.7 - n. Put 3, -3, b in decreasing order.\nAnswer: 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 38\/14) + 2. Let n be (-1 - 0)*(-84)\/12 + -5. What is the nearest to j in -0.4, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -25*a. Let h(b) be the first derivative of b**2 - 8. What is g(h(c))?\nAnswer: -50*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142502 (base 7) to base 2.\nAnswer: -110101011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**8\/20160 - c**7\/3780 + c**6\/2160 + 3*c**4\/4 + 11*c. Let n(w) be the third derivative of k(w). Let n(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - 2*h**2 - 2*h. Let x be r(-2). Suppose 5 = x*w - 7*w. Let f(y) = 2*y + 4*y**2 - 2*y + 1. Determine f(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666537 is divided by 420?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67, -64, -57, -46, -31, -12, 11?\n\"Answer: 2*o**2 - 3*o - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 558 and 35463.\nAnswer: 6596118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 10*p - 44. Suppose -4*c + 2*c + p = 0. Differentiate 16 - 16*h**3 - 2*h**3 - c with respect to h.\nAnswer: -54*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 12:30 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -303\/337304?\nAnswer: -303\/337304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4 - -1 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -4)*1 - -2. Let r(m) = -8*m - 2. Let z be r(s). Let i be (-4)\/7*z\/132. What is the third smallest value in -4, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4950000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -437 or -436?\nAnswer: -436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 5*b - 3*b - 9)*(99 - 99 - 373*b**3).\nAnswer: 373*b**4 + 3357*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 1 = -5*q. What is the units digit of 4\/((-8)\/q)*-9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**(3\/14)*p)\/p))\/p**(-3\/4) assuming p is positive.\nAnswer: p**(43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 344107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 9:02 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18247 + -11719. Is 128 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -13.1. Let r = l + 0.2. Let w = -75\/88 - -8\/11. Which is the second smallest value? (a) -2\/17 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*l + 137, 3*l + t = 80 + 42. Let n = -44 + l. Calculate the common denominator of 30\/7 and -19*(2 - 4) + n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -11\/6*v**3 + 0*v**2 + 0*v**6 + 10*v + 0*v**4 + 0*v**5 + 0 - 1\/6*v**7. What is the second derivative of i(r) wrt r?\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2516 and -10557 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.852639056 plus -5?\nAnswer: -5.852639056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -356*k - 1073. Calculate v(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 114*x - 38*x - 44*x - 38*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/13)\/y*y*y*y*y**(-21))\/(y**(-2\/13)\/y*y**(-29)*y*y))**(1\/23) assuming y is positive.\nAnswer: y**(122\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(95) + -1*sqrt(95)))\/(2*sqrt(5)*-5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75697211*l**4 + 21768341.\nAnswer: 302788844*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18840 - -18869. Solve -r*n = 5*n + 238 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 2 - 5 - (-27 + 20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12542 + 47550?\nAnswer: 62312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**46*y**(-8)*y**(-2) assuming y is positive.\nAnswer: y**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 11 - 9 + 16 - 3*r**2 as u*r + p*r**2 + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 4*m, 0 = -12*x + 13*x + 3*m - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -100578, -201510, -302442?\n\"Answer: -100932*j + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*g = 185*g + 40. Which is smaller: -2328 or g?\nAnswer: -2328","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (12 - 9) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 133200 (base 4) to base 11\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -4639.\nAnswer: -4639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + r)*(10107382 + 6693*r - 10107382).\nAnswer: 6693*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.46 - 0.54. Which is smaller: q or 7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 362, 2\/9, 6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 2\/17, 34.5377?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -1\/2*p**3 + 1\/2*p + 0 + 0*p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 180\/13, 3, 14, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191545010*k**5 + 26*k**2 - 21596*k + 12?\nAnswer: -11492700600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 10:19 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000153 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o + 23*o - 360430000 = 48*o. What is o rounded to the nearest one million?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 10*f - 7. Let v be i(11). Let w = v + 1. Suppose -3*k = w*g - 0*k + 19, 2*k = g + 9. Put -2, g, -1 in descending order.\nAnswer: -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 379 + -1229\/3. Is k equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*p - 3032 = -68*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -370267.36 rounded to the nearest one hundred?\nAnswer: -370300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = w - 37, 3*m - w = -0*w + 26. Let j(a) = -a**3 - 6*a**2 - 5*a - 2. Let x be j(-5). Let g = 2 - x. Solve -4*t = -b, -g*t = -3*b - t + m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1339726844 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/2)\/(38\/(-57)). Suppose -284 - 73 = -r*o. Calculate the greatest common divisor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383575.965 rounded to the nearest ten?\nAnswer: -383580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 5*j**3\/6 + 27*j**2\/2 + 2*j + 1. Let a be g(-5). Solve -a*h + 1 = -7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*v - 292 = -876*v + 2824 + 1924 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56594 divided by 2766.\nAnswer: 28297\/1383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 37. Let c be (-37)\/(-7) - (-4)\/(-14). Suppose 0 = -x + c*x - 200. What is the greatest common divisor of o and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -293395588 + 4?\nAnswer: -293395584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1991 is divided by 1969?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 5. Suppose c - 3*c = 8. Let y be w(c). Suppose 0*f = -g - y*f - 8, -3*g = -2*f - 31. Calculate the greatest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/7)\/(y**5*y))\/(y*(y\/y**0)\/y*y*(y**(-1\/3)*y)\/y))\/(y**(-2)*(y**(-3)*y)\/y*y*y**(-3\/2)*y**(1\/7)) assuming y is positive.\nAnswer: y**(-73\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -11, -39, -87, -161, -267, -411, -599?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 2. Let i(y) be the first derivative of 11*y**2\/2 + 2*y - 4. Let h(v) = -5*v - 1. Let x be 0 + 0 - (1 - 4). Calculate m*h(r) + x*i(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Let p(u) = 53214*u - 362. Let n(l) = -592*l + 4. Let f(k) = 543*n(k) + 6*p(k). What is b(f(r))?\nAnswer: -4717584*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 44 = 164. Suppose -2*k + q = 2. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82940 divided by 377?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6784378 to the power of 1\/2, to the nearest integer?\nAnswer: 2605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 11.03\nAnswer: -55.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930804?\nAnswer: 2, 3, 7, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 6)*(-14)\/8. Suppose -4*d = -l*d + 67692. Let c = 14864 - d. What is c rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, n: 8, d: 3}. Give prob of sequence jjnj.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 255657, 255746, 255897, 256110, 256385, 256722?\n\"Answer: 31*g**2 - 4*g + 255630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7981*q**5*y + q**4*y**3 + 2*q**2*y**3 + 1195*q**2 wrt q.\nAnswer: 478860*q**2*y + 24*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/16)\/(3\/(-12)*-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, 23, 653, 3 in descending order.\nAnswer: 653, 23, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*f = 119*f + 1064. Let r = 538 - f. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 - (-5)\/(30\/562). Suppose -d = -p + z, 4*p - 70 - 295 = -3*d. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 1517*t + 1519*t - 140 = 3041*t, -2*p = 2*t + 38 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Work out -329 * 160.\nAnswer: -52640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 34) + -2 + 10 - (-8 + -2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217123 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.99 + 0.01. What is the closest to 1 in r, -2\/11, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 22*x**2 + 2*x + 114*x**2 - 33*x**2 - 6*x**2 - 12*x**2.\nAnswer: 41*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162*x**2 - 111*x**2 + 18*x**3 + x - 124*x**6 + 167*x**6 wrt x?\nAnswer: 5160*x**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 78496, 78505, 78520, 78541?\n\"Answer: 3*v**2 + 78493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3099256?\nAnswer: 2, 31, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7920000 = -i - 3*i. Suppose 8*f = 2*f + i. What is f rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3071 - 26*s**2 + 6140 - 3069 - 195*s**2.\nAnswer: -221*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 - u + 1. Let i be b(1). Let l(n) = n**3 - 4*n**2 + 2*n + 1. Let t be l(1). Solve t = m + 3*k - 9, -2*k + k = -i*m - 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30100618 bigger than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*z = -43050, -61509 = -3*g + 2*z - 18443. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from {m: 1, v: 1, r: 4, k: 2, u: 8, h: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2150 + -11?\nAnswer: 2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 407389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 26 + 4 = 0. Solve -5*i = -3*k - 26, -3*k + 4*k = 2*i - h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 90.93844 milligrams?\nAnswer: 90938440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-9) - (1 + -1964). Let m = -14102774\/7239 + -3\/4826. Let i = m + f. Calculate the common denominator of i and 119\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(1584) - (sqrt(1584) + (-5*-2*sqrt(1584))**2 + sqrt(1584)) - sqrt(1584)) + sqrt(1584) - (1*(0 + sqrt(1584)) + -4))*2.\nAnswer: -1267168 - 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y = 26*y - 0*y. Let b(j) be the third derivative of y - 1\/45*j**5 - 1\/180*j**6 + 0*j + 0*j**3 + 0*j**4 - 2*j**2. Factor b(d).\nAnswer: -2*d**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468 and 159199677.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 16. Let z(d) = 3*d + 14*d - 3 + 5*d - q*d. Let k(y) = 15*y + 5. What is -3*k(f) - 5*z(f)?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**20\/(f*f**(-2\/31))*f**(14\/3)\/((f\/(f**(-1\/23)*f))\/f*f) assuming f is positive.\nAnswer: f**(50668\/2139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 - 2.40003. What is z rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-12))\/(((-20)\/(-4))\/(-5))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + 0 + (-1 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -93 and 2287.\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.42639 millimeters to micrometers.\nAnswer: 12426.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452643687.\nAnswer: 3, 29, 293, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0688 + -50.9312. What is the nearest to 2 in -2, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6)*12 + -1. Suppose 0 = d*h - 8 - 2. Determine w, given that -5*w**3 + 1 - 7 + 2 + 8*w + 7*w**h = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 3*x + b + 13, 3*x + 3 = -3*b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13093*d = -13077*d + 50 - 226 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -585 + 579 + (-5 - ((18 - 13) + (-2 - 52)))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1775 - 8879\/5. Which is the nearest to z? (a) 1\/6 (b) 0 (c) 0.4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(704) + sqrt(704) + -6*(-1 + sqrt(704)))*-6*-5 + (6*((1 + sqrt(704) - sqrt(704)) + 2) - -6*(sqrt(704) - (3 + -2*sqrt(704)))))**2.\nAnswer: -1486080*sqrt(11) + 46990656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)*f*f**(8\/7)*(f**(1\/4)\/f)\/f**(-2\/57) assuming f is positive.\nAnswer: f**(-15277\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 + (-20 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 2. Let d be v(2). Suppose -4*p - 382 = -2*x, 5*x - 930 = 5*p - 0*p. Suppose x = 5*q + 71. Are d and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(-15)*(-380)\/6. Calculate the highest common factor of f and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 168380 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 174?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205463 or -210767?\nAnswer: -210767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5406)\/(-348687)*(-36)\/(-4)\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-1 + 1 + sqrt(320) + -2 + -2 - (sqrt(320) + sqrt(320)*4 + 0 + 1*(sqrt(320) + -3)))**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**6\/360 - 7*t**5\/120 + t**4\/24 + 3*t**3\/2 + 5*t**2. Let g(n) be the first derivative of q(n). Give g(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1000001110110010101000?\nAnswer: 1000001110110010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 178 + 126. Suppose 0 = a*k - 2041 + 141. What is the remainder when k is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -1. Let x be (-1)\/z*(-6 - 3). Put -1, -4, x in descending order.\nAnswer: -1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - 0. Let h(r) = 2 + 0 + 0 - 3 - 2*r. Let a be h(l). Calculate the highest common divisor of a and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 1) + (-3 - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 135 = -3*g - 7*z, 5*g - 225 = -5*z. Let p = -14 - -18. Suppose 2*c - 144 = -p*c. Calculate the remainder when g is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 44\/(-12))*(2 + 1). Solve -16*m = -n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 7*z**2 + 6*z + 11. Suppose 1 - 17 = 2*k. Let x be q(k). Calculate the greatest common divisor of x and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 48?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 639247992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 7*g - 14. Let b be k(10). Suppose -b = 4*h - 1444. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 147?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*g - 60*g - 16238 = 0. Is g a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9118*-45\nAnswer: -410310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1122 (b) 182\/5 (c) -3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4497847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(847) + sqrt(847)*-3 + sqrt(847) + 5 + sqrt(847).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-8))\/((-12)\/(-192)). Let q = -4 + l. Suppose 0 = 3*i + i - q. What is the smallest common multiple of 6 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 146?\nAnswer: -5\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88 (base 16) to base 14.\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 1. Let k be y(2). Suppose -34 - 15 = 2*b - 3*r, 121 = -3*b - 5*r. Let u = -23 - b. What is the greatest common factor of u and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3230 + -3191. What is the greatest common divisor of r and 7683?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 q when four letters picked without replacement from qqqqqqqqqqqqrqqqqqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -17*x + 137, -x = 1343*y - 1346*y + 34 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -0.1. Let g = v + -0.1. Let f = 8 - 4. Sort f, 5\/4, g in descending order.\nAnswer: f, 5\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -36. Suppose i*x - 4*x - 3*x = 0. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*j - 18, -j - 4*j = 5*u - 30. Let a = 8 + -5. Factor 4*c**3 + c - j*c**a + 2*c**3 - 4*c.\nAnswer: 3*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -161593028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*l - 4280 = -594*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1701572 decades to centuries.\nAnswer: 0.01701572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 298, -2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c - 2*c + (2 + 4 - 3)*(3*c - 11 + 11) + c + 2 - 2 - 263*c - 393*c + 756*c.\nAnswer: 108*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 121.0604 years?\nAnswer: 1452.7248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -1 + 0*v + 5\/4*v**4 - v**2 + 0*v**3. What is the second derivative of t(n) wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 47*z**2 - 170*z - 115. Determine k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2131 times -4\nAnswer: -8524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**5 - 4*p**3 - 214*p**2 - 2 wrt p.\nAnswer: -180*p**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 259.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38234751.4 rounded to the nearest one hundred thousand?\nAnswer: -38200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 93 + 2434aa?\nAnswer: 243592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-18) + (-560)\/(-252). Solve 6 = -p - 4*h, p - z*h = -4*h - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 671?\nAnswer: 5\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/5 (b) -5 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 328*s**2 + 383*s wrt s.\nAnswer: 656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, 179, 728, 1821, 3638?\n\"Answer: 30*j**3 + 2*j**2 - 31*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172622.\nAnswer: 2, 86311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26463913 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 the thousands digit of 186203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 122 = 142*l + 229 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/6*-2*679630\/(-90155).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**5\/20 - 5*v**4\/12 - 4*v**3\/3 - v**2 + 11*v + 25. Let r(h) be the first derivative of f(h). Is r(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26007*a**3*t**2 + 18805*a**3*t + 3*a**3 wrt t?\nAnswer: 52014*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 15*b + 27. Give l(-10).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -28*l**2 + 12*l. Let z(r) = -11*r**2 + 5*r. Let h(o) = o**3 - 11*o + 8. Let s be h(-4). Determine s*z(f) + 5*y(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4560, 9042, 13454, 17790, 22044, 26210, 30282, 34254?\n\"Answer: -u**3 - 29*u**2 + 4576*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3 - 26988*x**2 - 215568*x + 539120 = 0. Calculate x.\nAnswer: -6739, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -592730 and -0.5.\nAnswer: 296365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 3*v - 6. Let r be l(5). Suppose c = -r*c + 25. Suppose 0 = -5*f - 4*n + 81, -4*f + c*n = -3*f - 22. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.49168ns to seconds.\nAnswer: 0.00000002749168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/3 + 79*t**3\/3 + 1850*t**2\/3 + 15200*t\/3 + 12000 = 0. Calculate t.\nAnswer: -45, -20, -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*v**3 - 183*v**3 + 41*v**2 + 363*v**3)*(-6*v - 5*v + 3*v)*(0*v + 5*v - 3*v) + 2*v**5 + 0*v**5 - v**5.\nAnswer: -15*v**5 - 656*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26632551*a**4 + 79930112.\nAnswer: 106530204*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 1589?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 0 + 10 - 46*i - 7 - 6*i**2 + 1 + 47*i. Let r(g) = -3*g + 1. Let q be r(2). Let w(f) = f**2 + f. Let a(p) = q*w(p) - h(p). Determine a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-17 + -3 + 18).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**0)\/d)**(-1\/42)*d**8*d*(((((((d**(-9)*d)\/d*d)\/d)\/d)\/d)\/d)\/d)\/d*d*d)**(-8) assuming d is positive.\nAnswer: d**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2680, 2687, 2694?\nAnswer: 2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23539*m - 23539*m - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ddd (base 16) in base 3?\nAnswer: -1102120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -17 and 0.37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*o - 25. Suppose -11 = -o*z + d, -5*z - d = -5*d - 11. Suppose 11279 - 11349 = -14*q. Solve q*n + 15 = -2*p + 7*p, -n = p - z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 1638\/(-38) - 1. Suppose -4*h + 25 = k - 27, 128 = 3*k - 2*h. Let d = k + n. What is the biggest value in d, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326398621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 48*j**2 + 101*j - 49. Let x be r(50). Let p be (140\/x)\/((-42)\/3423). Round p to the nearest one hundred.\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97620 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:55 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -0.66051.\nAnswer: 0.66051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-265)\/(-106))\/((-1)\/4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -256, -1767, -5604, -12847, -24576, -41871, -65812?\n\"Answer: -180*m**3 - 83*m**2 - 2*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((2114\/3171)\/((-58)\/6)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 2. Let j be m(5). Let a be (1\/j)\/((-6)\/108). What is the greatest common factor of 24 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 110 = -5*r - 3*t, -5*r = 3*t - 90 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16751.3 + -16751. Which is the biggest value? (a) -1\/4 (b) -2\/15 (c) y (d) -692.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608398 and 672.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -291 - -490. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/s**(4\/5))**(-10) assuming s is positive.\nAnswer: s**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*w + 376*w + 375*w.\nAnswer: 1078*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0 = 2*l - 24, 2*l - 14 = -2*y. Suppose -3*g + y*o + 568 = 0, -3*o + 17 - 5 = 0. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 4:56 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 36*t**2 - 36*t + 34. Let f be o(1). What is the greatest common divisor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2126, -2119, -2110, -2099, -2086?\n\"Answer: n**2 + 4*n - 2131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -473\/5 (c) -1 (d) 3 (e) 0.3 (f) -0.06 (g) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -4, 0.02, 13?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -110?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30233313.\nAnswer: 3, 11, 19, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12124207.\nAnswer: 179, 67733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 84 - 376. Suppose 3*x - 3*z + 204 = 0, x + 2*z = 2*x + b. Let c be (18\/x)\/(2\/(-28)). Solve -r + t - c = -2*t, 5*r + 3*t = 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 + 530 = -125*p. Let o(g) = -6*g - 5. Determine o(p).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9304.521 days?\nAnswer: 803910614400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 + 250*g**4 + 3125*g**3.\nAnswer: 5*g**3*(g + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -19?\nAnswer: 20\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/1*9\/(-6). Suppose -o = -s*o + 8. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68270\/59 or 1156?\nAnswer: 68270\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 2*t + 4 + 14, -5*c - 2*t = -38 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6717*t**3 + 6717*t**3 - 1557*t**4)*(-5 + 2 + 0)*(-1 - 3 + 2).\nAnswer: -9342*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 100.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 16) in base 5?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b = l - 36*b - 23, -13 = l + 4*b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.81247 years to millennia.\nAnswer: 0.05381247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 - -55. What is the nearest to o in -0.1, -2\/11, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-2\/45)*d)*d*d**(-17)\/d)\/(d**(-1\/7)\/(d**3\/d)) assuming d is positive.\nAnswer: d**(-4981\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 191, -0.2, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Let x(p) = 7*p. Let v(b) = 112*b. Let d(m) = -4*v(m) + 63*x(m). Calculate r(d(q)).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 96*f**3 + 543. Let v(d) = 2*d**2. Give v(b(w)).\nAnswer: 165888*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**3 + 0 - 10*k - 1\/2*k**4 + 1\/20*k**5 - 2*k**2. Give y(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 88 - y**3 - 84 + 1767*y - 1756*y - 3*y**2. What is c(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -2*a - w - 11, 9 = 3*a - 3*w. Suppose -3*c - g - 10 = 0, 15 = -5*c + 10*g - 12*g. Sort a, 4, c, -2 in descending order.\nAnswer: 4, a, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 678867, 678868, 678869, 678870, 678871, 678872?\n\"Answer: p + 678866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-54)\/(-24)))\/(26\/(-39))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + r - 1. Let s(f) be the first derivative of 3*f**4\/2 + 5*f**2\/2 - 4*f - 3. Let o(h) = 4*c(h) - s(h). Find the second derivative of o(z) wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 542*n + 6503. Determine p(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, w: 12}. What is prob of sequence wwdw?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29981337.4 and -0.09.\nAnswer: -29981337.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14416.0015 + 14413. Let j = -3.5 - -0.5. Let o = i - j. What is o rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**4 + n**2 + n + 1. Let c(d) = 4*d**4 - 18*d**3 - 32*d**2 - 16*d - 2. Let u(j) = c(j) + 2*k(j). What is o in u(o) = 0?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*s**2 - 6245*s - 1040.\nAnswer: -5*(s + 208)*(6*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4 - 24*z**3 + 107*z**2 - 138*z + 56 = 0 for z.\nAnswer: -28, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**4\/2 + 5*d**3\/2 + 4*d**2 + 2*d = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9167 - -9171. Solve g = h*b - 20, 0 = -22*g + 24*g + 2*b - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-750)\/2625)\/(1\/35).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 832 = -41*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h = -31 - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 27 = 2*j. Let q be 5*(-1 - (-9)\/5). Let y = q + j. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 6*r**2 + 5*r**2 - 3*r + 255*r**3 + r**2.\nAnswer: 255*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 12) in base 14?\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, -1, -15\/79, -0.1, 51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 92, 224, 418, 680, 1016, 1432, 1934?\nAnswer: 2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -21*b - 401. Calculate the least common multiple of y(-21) and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25185, 461, 3 in decreasing order.\nAnswer: 461, 3, -25185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)**35)**(-2\/11)*(u**(3\/5)*u*u**1\/u*u)**(5\/14) assuming u is positive.\nAnswer: u**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14594, 14612, 14618, 14606, 14570, 14504, 14402, 14258?\nAnswer: 14066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*572\/8*4\/(-6)*-3 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s - 35. Let g be t(-4). Suppose -5*d = 3*k + k - 5, 5*k - g*d + 5 = 0. Solve 4*j + k*j = -4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4088 + 3914.9. Let m = 173 + j. Let v = -0.87 - -1. Which is greater: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 5. Let n(t) = -4*t - 4*t - 9*t + 14 + 26*t - 4. Give 5*f(p) + 2*n(p).\nAnswer: -2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2*l = -8, 5*l - 31 = 4*d - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3941 - 3941 - 2*j. Let r(c) = 0*c + c - 2*c. Calculate r(i(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/3366 and -29\/5256570.\nAnswer: 15769710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 15 = 0, 10 = 5*s - h - 2*h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 12.09. Let j = -0.0932 + 0.2932. Which is the nearest to 2\/5? (a) x (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2)*(-91)\/(-21)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 106 - 70. Suppose -3790 = -i*g - 1. Suppose 5*b - 2*n - g = 0, -5*n + 298 = 5*b - 102. Does 52 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -13*w**3 - 9*w**2 + w - 9. Suppose -30 = -7*u - 9. Let k(g) = -3*g**3 + 3*g**3 - 2*g**2 - 3*g**u - 2. Determine 9*k(c) - 2*x(c).\nAnswer: -c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*l = -12, -7*w = -2*w - 5*l + 20. Let t be -3 - (3 + w + -2). Let p be 1 - 0 - 0\/(-2). Which is bigger: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 25*f**2 + 3 + 2 - 84*f**2 to the form d*f + j + r*f**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3*l - 72, -f - l + 19 = l. Suppose 83 + f = -28*u. Let m = -6 - -9. Put m, u, 5 in descending order.\nAnswer: 5, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-320)\/72)\/(-10))\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((0 - (-3 + 3)) + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 361 - 362. Let y(q) = 5*q + 1. Let k(g) = 10*g + 3. Let u(c) = 2*k(c) - 5*y(c). What is u(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7*s + 3)*(-s - 3 + 3)*(0 - 4 + 3) in the form b + o*s**2 + x*s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*f**2 + 2880*f - 2880*f + 63 + 10)*(4*f - 2*f**3 - 4*f).\nAnswer: 40*f**5 - 146*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 11*a**2 + 3*a + 25. Let k = 48 + -59. Let h be v(k). Is (-13)\/52 + (-1482)\/h a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 + (-1530)\/63. Let d = 26 + k. Let o be d\/(-10) - (-564)\/20. Which is smaller: 29 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.52? (a) -8 (b) 19 (c) 4.1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 381, 583, 791, 1011, 1249?\n\"Answer: d**3 - 3*d**2 + 204*d + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*v**4 + 9*v - 9*v + (-3 - 4 + 6)*(v - v + 2*v**4) + 0*v**4 - 3*v**4 + 4*v**4 in the form d*v**4 + s*v + c*v**2 + p + q*v**3 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvp when three letters picked without replacement from pcv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 7*w**2 + 6*w - 5. Let r(m) = -2*m**3 - 9*m**2 + 4*m - 4. Let u be r(-5). Suppose 0 = 3*k + 2*x - 24, -4*k + x + 22 - u = 0. What is z(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 - -85. Let j be (-3)\/(-7) + (-320)\/z. Let o be 2\/(-4) + (-222)\/(-4). Calculate the greatest common divisor of o and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/20)\/((-7115)\/1280700).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**3 - 2*f**2 + 13*f - 16. Determine i(3).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 9:22 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/48667858 and 51\/399736.\nAnswer: 194671432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -381.\nAnswer: -152.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = -o, -2*x + 3*o + 1 - 4 = 0. Solve 2*d + 13 = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 5*x + 3*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 100?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*t + 3 = 327*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**6*(k\/k**(1\/5))\/k)\/(k**27\/k*k**(-15\/7)))**45 assuming k is positive.\nAnswer: k**(-5688\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 5*p + 15. Suppose 4*n - 10 = -2. Let m = n + p. Calculate the remainder when 18 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}