diff --git "a/data/dm_maths/full_data_1/10755_11255.jsonl" "b/data/dm_maths/full_data_1/10755_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10755_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u(x) be the first derivative of -2*x**5\/5 + 13*x**4\/2 + 80*x**3\/3 - 391*x - 3598. What is the derivative of u(t) wrt t?\nAnswer: -8*t**3 + 78*t**2 + 160*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1172 and 87\/28.\nAnswer: 8204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29429567.\nAnswer: 17, 47, 36833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722090 to the power of 1\/2, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a hour in minutes?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*s**4 + 136*s**4 + 37*s**4 + (2 - 2*s - 2)*(11*s**3 + 16*s**2 - 16*s**2).\nAnswer: 126*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 27*h**2 - 18*h. Let j be g(10). Suppose 56*d - 51*d - j = 0. Calculate the greatest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*10*4\/240*-14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*(n*n**10*n*n)\/n)*n*n**6*n*(n\/n**(-16))\/(n\/(n**(-8)*n)) assuming n is positive.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289543686 to the nearest integer?\nAnswer: 17016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -11\/5, 2\/9, -1 in ascending order.\nAnswer: -11\/5, -1, 2\/9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/18 - (-2574)\/81. Let z(m) = -2 - 2*m - 6 + v. What is the least common multiple of z(0) and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 335*m - 34935. Determine g(104).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 80 + 29 = 3*y, 5*l = -2*y + 78. Suppose -l = 5*j + 114. Let r = j - -51\/2. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (sqrt(52) + 3))*-6*4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 + 1478*a**2 + 826642*a + 4362*a**3 - 826642*a - a**4 + 594*a**2 + 2579*a**2 wrt a.\nAnswer: -24*a + 26172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 66 = -v - 4, 64 = 3*l - 4*v. Let g(z) be the second derivative of -5*z**3 - 12*z**2 + 64529*z. Let j(o) = o + 1. Give l*j(f) + g(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -154.3654 and 4.\nAnswer: -617.4616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 0.0914.\nAnswer: -0.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 597 - -31. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 539, 540, 541, 542?\n\"Answer: t + 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 - -992.647.\nAnswer: 847.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*u - 74, -2*g = -5*u + 2*g + 178. Calculate the highest common divisor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/357? (a) 3 (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47.9796 and 9.\nAnswer: 431.8164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**(-9)*(x\/(x**(-1)\/x)*x)**25 assuming x is positive.\nAnswer: x**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 34073.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1958044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10588860259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7296 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*z + 1)*(-3 - z**4 + 3) + z**2 - z**5 - z**2 + 3*z**4 - z**4 + 2*z**5 + 2 + 0*z**4 - z**5 - z**3 + z**3.\nAnswer: 2*z**5 + 2*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*((s*s**1)\/s)\/s*(s\/(s**(-1)\/s))\/s*s*s**3\/s**(2\/9) assuming s is positive.\nAnswer: s**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 90325 - 90325.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 51*v - 137. Let t(d) = -1634*d + 4386. Let x(z) = 129*q(z) + 4*t(z). Let m be x(3). Is 40\/31 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1119*a = -198*a + 12552*a + 757*a + 967640 for a.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftkttftikkkfmfiifk. Give prob of sequence ftkf.\nAnswer: 5\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871 is divided by ((-3312)\/(-230))\/(((-4)\/2)\/(-10))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5.59, -3\/20, -0.1, 3 in decreasing order.\nAnswer: 3, 2, -0.1, -3\/20, -5.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -66. Suppose t = n - 5*n + 3*c + 415, 4*n - 409 = -3*c. Suppose 19 - n = -2*y. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.466 - 0.434. Round q to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 9549434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 1112 + 67. Suppose 0 = 5*v - 2*i - h, 4*v - 6*v + 5*i = -418. What is the greatest common divisor of 19 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/17275 + 17388\/1952075. Which is the biggest value? (a) -6 (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 7*t**2 + 6*t + 5. Let f be z(-6). Suppose 0 = -4*d + f*r - 7 - 6, -10 = 5*d - 5*r. Let j(p) = p - 3 + d. Let a(m) = m**2. Calculate j(a(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000059587 to seven decimal places.\nAnswer: 0.0000596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3 + 2388*u**2 + 28440*u + 85104 = 0 for u.\nAnswer: -1182, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 2 = -3*n. Let c(o) = -6*o + 86. Let y be c(14). What is the third derivative of -8*u**y - n*u**6 + 13*u**2 + 7*u**6 wrt u?\nAnswer: 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 4:26 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d + 0*d - 12*d)*(-61 + 61 + 65*d) - 7 + 6*d**2 + 7.\nAnswer: -1424*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 47 + 9 = 0. Let n(k) = k - 2. Let q be n(2). Suppose o*d + d + 130 = 5*r, 4*r + d - 79 = q. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, r: 1, i: 2, z: 1, v: 7, n: 4}. Give prob of picking 1 z and 3 n.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 9:03 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuyuuuuuuyuuyyuyuu. Give prob of picking 2 y.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 6*u**2 - 7*u + 6. Let x be p(4). Suppose x = -0*z + 5*z. Put -1, z, 5 in increasing order.\nAnswer: -1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as 2\/3412933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 4:51 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 2*(sqrt(121)*3)\/sqrt(11)*-6*-3)**2.\nAnswer: 864*sqrt(11) + 128320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*p + 1 = 8, -n + 5*p + 1 = 0. What is the remainder when 14 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -23\/2. Let y = -30582.2 + 30582. Which is the nearest to 0? (a) w (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1187*s + 1003*s - 1860*s + (-4 + 3 - 1)*(2*s + 4 - 4) - 3*s + s + 3*s.\nAnswer: 327*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3074.64 times -9?\nAnswer: 27671.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 + 70 - 111)*(-2*f - 2*f + 2*f) + 2*f + 2*f - f + (0 - 4 + 2)*(-3 - f + 3) + 0*f + f + f - f + 6*f - 3*f.\nAnswer: -63*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*o + 3*m + 6, -o - 3*m = 0. Suppose -o*b + 8 - 2 = 0. Suppose 0*j = -j + b. Solve -4*x - 2 = j*z, -11 - 3 = x - 4*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.6 (b) -4 (c) -8\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/116448 and -51\/896.\nAnswer: 3260544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/12 - 4\/16. Suppose 0 = d*n + 4 - 2. Is n greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.479 + -0.021. What is the closest to 2 in 5\/3, d, -0.05?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 - 5*s - 1. Suppose 1874*d - 1872*d - 66 = 0. Suppose -3*z + 3*y = -d, -3*z - z = y - 19. Let h(a) = 3*a**2 - 4*a - 1. Give z*h(u) - 5*x(u).\nAnswer: -2*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 4, 137, 176 in decreasing order.\nAnswer: 176, 137, 4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1537.\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 11. Let x be 1\/(u\/(-6) - 1). Is -3 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 17\/5. Let q = 0.06 + -1.06. Let u = 0.4 + -0.7. Which is the closest to q? (a) u (b) 3\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbob when four letters picked without replacement from {m: 3, o: 2, t: 9, b: 4}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 64. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 16. Let d = l - 15. Let f(g) = 2*g - 8. Let t be f(d). Solve -2*c = -3*c - t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 130\/(-14) + (-2)\/(-7). Let k = d + 11. Suppose -2*w = 5*q - 45 - 6, k*w - 2*q - 16 = 0. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 1:48 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**5)\/b*b**(1\/10)\/b assuming b is positive.\nAnswer: b**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 7171341*t**3 - t**2 - 2481854*t**3.\nAnswer: 4689487*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*v + 2*y - 22, 4*v - 3*y + 63 = 0. Let k(h) = h**2 + 11*h - 2. Let p be k(v). Calculate the highest common factor of 20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/13 - -19\/91. Let z = -0.09 + -2.91. Let w = 1 - 2. What is the closest to q in 0, z, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2643 + 1287 - 39*n**2 + 45*n**2 + 1356.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 2. Let w(z) = -5*z + 9. Let g(o) = -9*u(o) - 2*w(o). Calculate the smallest common multiple of 11 and g(9).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.4 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91462 and 8221052?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:48 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:08 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010.712 years to millennia.\nAnswer: 1.010712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -18653 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j - 100*j**3 + 98*j**3 - j + j**4 + 2*j**2 + 2 to the form x*j**2 + t*j**4 + v*j**3 + h*j + n and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 13. Let c be j(-10). Suppose 107 = 5*q - 2*p, 2*q - 3*p = 31 + c. Calculate the remainder when 66 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(2*(sqrt(192) + 2*sqrt(192)) + sqrt(192) + sqrt(192) + -2 + 2)*-4*-6)**2.\nAnswer: 254803968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74812, -74824, -74850, -74896, -74968, -75072?\n\"Answer: -u**3 - u**2 - 2*u - 74808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 11*h**2 + h. Let c(m) be the second derivative of -m**3\/6 + 12*m. Calculate c(l(a)).\nAnswer: -11*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 + (-2)\/9. Suppose 0*r - 90 = 5*r + 5*v, -5*v + 25 = j. What is the units digit of (-8)\/(-20) + r\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(48) - (sqrt(3) + 5 + sqrt(3)*4)) + -1.\nAnswer: -6 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68017318.\nAnswer: 2, 61, 557519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 13*c. Let j(q) = 259*q + 1841. Let b be j(-8). Let w(l) = -495*l. Determine b*a(n) - 6*w(n).\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 6*n**2 + 2*n. Suppose 3*p - 16 = -4*l - 0, 11 = 3*p - l. What is the remainder when o(-5) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 42 + 36 - 119 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*d = 55*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 47, 1, 229, -1, 5, 2.\nAnswer: -1, 1, 2, 4, 5, 47, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (697 - 660 - (-23 + -2)) + (1 - (-1 - -2)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 336, 503, 674?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173 or 174?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -2*a - 41, a + 9 = 3*l - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0026 + -2.7874. Let z = w - -1.79. Let r = 28\/3 + -86\/9. What is the third biggest value in r, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 18*p + 5. Determine v(-20).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*z - 2518 = 71*z + 478 + 638 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 7 = -12*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4 + (-2*sqrt(121))\/sqrt(11))**2*-6 + 1 + -5)*3.\nAnswer: -1089 - 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/19430136 and -173\/16191780.\nAnswer: 97150680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*v**3 - 193*v**3 + 384*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2. Let p(x) = 2434534*x**2. Calculate y(p(t)).\nAnswer: 11853911594312*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2937802.3 to the nearest 1000.\nAnswer: 2938000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*(-4)\/(-3)*87\/29?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 34 = -2*t - w, t = -4*w + 1. What is the highest common divisor of 81 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.269 + 0.269. Let t = 19 + -77\/4. What is the nearest to 1\/5 in z, t, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*w - 2225 = -1285*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1989 and 2295.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 272481263\/720 - 378446. Find the common denominator of d and -149\/300.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*w + 27. Suppose 0 = 4*t - 2*g - 6, -3*t + 2*g - w*g - 23 = 0. Do -1\/61 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85918016 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: Express 4*z + 2680*z**2 - 4*z + 5 - 2359*z**2 as s*z + a*z**2 + l and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-261)\/(-1624))\/(38\/((-2432)\/(-144)))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/20559 and 38\/2189.\nAnswer: 4091241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-60)\/9))\/((-18)\/(-16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + 0.21. Let k = 19.9 - 19.74. Let c = d + k. What is the smallest value in -0.01, -2\/5, c, 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4, -7*x - 1 = -10*x + 4*f. Solve -36 = x*h - 48 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v**4 - 27. Let q(p) = -99*p**4 + 270. Let l(n) = 2*q(n) + 21*s(n). Differentiate l(r) with respect to r.\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231606?\nAnswer: 2, 13, 85831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 4*p**2 + 4*p**2)*(74 + 96 + 291 + 130)*(5 - p - 5).\nAnswer: -2364*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - o - 84 = 101, 4*j - 4*o = 188. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 88*g + 970. Give b(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103172 = -2809*c - 38565 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.07 + 0.17. Let w = j - -1. Suppose 0 + 27 = 3*t + 4*v, 0 = -4*t + 2*v + 14. What is the third smallest value in w, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.72 + 18.949. What is the second biggest value in 1, b, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/518315 and -51\/27671?\nAnswer: 34727105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-7)\/21 - 0. Let s be v\/21 + 11883\/1071. Which is greater: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26905 is divided by 6671.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -314, 0, 5, 1298 in descending order.\nAnswer: 1298, 5, 3, 0, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*2\/(-16))\/((-38)\/152)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v - 8. Let l be b(-10). What is the highest common divisor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.08, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*t**2*v**2 - t**2 + 144*t*v**4 - 11*t - 146*v - 13559 wrt v?\nAnswer: 6*t**2*v + 576*t*v**3 - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from gnnggugnnuiuuiu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 + 2204. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4235.846 milligrams to nanograms.\nAnswer: 4235846000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 15\/(-10) - -4. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 3:50 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 147 = -5*q. Let t = 124 + -73. Calculate the highest common divisor of q and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 796491 and 1008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*k = -954, 3*k + 230 = 3*q - 2*q. What are the prime factors of q?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24, -29, -12, 39, 136?\n\"Answer: 2*x**3 - x**2 - 16*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iizzzzzzzzzi. Give prob of picking 3 i.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -6154.\nAnswer: 24616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.034442 and 130.4702.\nAnswer: 130.504642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*s**5 - 12*s**2 + 32245*s wrt s?\nAnswer: -360*s**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2256 and 2115?\nAnswer: 33840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.127 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, f: 6}. Give prob of picking 2 f.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/8)\/f*f**6*(f*f\/f**(-1\/4))**(-2\/101))\/(f*f**(-3\/4)*f*f**(-2\/3)*(f\/(f\/f**(-1\/3)*f))\/f**(-1\/4)) assuming f is positive.\nAnswer: f**(4105\/808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 u, 1 r, and 1 s when four letters picked without replacement from {a: 2, u: 2, s: 9, j: 1, k: 2, r: 2}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 14 = 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32644\/91 + 2510\/7. Which is the nearest to 2\/3? (a) k (b) 8 (c) 0.02 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23399 (base 11) to base 15\nAnswer: 9eeb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -22 + 18 + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 36 = -3*w, -14*n + 17*n - 3*w = 48. Let t(b) be the first derivative of 18*b**4 + n + 9*b**6 + 20\/3*b**3 + b**2 + 108\/5*b**5 + 0*b. Factor t(z).\nAnswer: 2*z*(z + 1)*(3*z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 8*j**7\/21 - 6*j**6\/5 + 2*j**5\/5 + 8*j**4\/3 - 4*j**3 + 2*j**2 - 2*j. Suppose n(i) = 0. Calculate i.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -539609\/10 + 53949. What is the common denominator of 23\/(-3)*(-3)\/22 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5557014*s**3 - 34*s**2 + 35331*s - 1 wrt s.\nAnswer: -33342084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 76\/((-12008)\/7347)*4\/6\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 40 = -2*c - 2*c, -6 = -4*j - 2*c. Let z(t) be the second derivative of 2*t**2 + 1\/3*t**4 + 1\/20*t**5 + 0*t**3 + 0 + j*t. Determine z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*n - 14, -28 = -2*k - 4*n - 0. Is k\/(-21) + (-10490)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227989 is divided by 329?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17737*y**3 - 71195*y**3 + 17827*y**3 + 17814*y**3 + 0 + 17818*y**3 + 0.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-825)\/25 + 38 + -31.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10253, 41029, 92321, 164129?\n\"Answer: 10258*f**2 + 2*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143 - 143 + 14*k)*(16*k - 16*k + 7*k**2)*(1 + 0 - 2)*(284*k - 183*k - 142*k).\nAnswer: 4018*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*216\/27?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 167, -4, 4, 2, 7, -1 in ascending order.\nAnswer: -6, -4, -1, 2, 4, 7, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 46 = -x, x - 25 = -3*n + 5*x. Suppose -222 = y - 227, -2*z + 4*z - 2*y = 24. Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -14*c**3 - 2*c + 3. Let i be r(1). Let a be (12 + i)\/((5\/(-2))\/(-5)). Put -4, a, 5, 2 in ascending order.\nAnswer: -4, a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-531)\/708)\/(((4\/4)\/(-4))\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995 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: What is the next term in 1884, 7568, 17024, 30240, 47204?\nAnswer: 67904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 1, w: 2}. What is prob of sequence ww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - s - 13. Determine i(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-5)\/((-15)\/(-6))). Suppose -4*s - p + 12 + 15 = r, 2*p = -2. Suppose b - s = 4*v, b - 2 = 3*v + 4. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.138? (a) 1\/111 (b) -3\/4 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 38775219 to the nearest ten thousand.\nAnswer: 38780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6215*u - 7579*u - 4092 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 33. Let w(i) = -3*i - 10. Let q be w(z). Solve -5*u + h + 20 = 0, -q*h = -2*u - 2*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 18 (c) 1\/6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -12. Suppose -2*l = s*u - 12, -10 = -l + 3*u - 6*u. Solve 2*q = q - l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2950 is divided by (77 - 74) + (-18)\/(-4 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -24*s**3 - 9*s**2 + 13*s + 24. Calculate x(-2).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 24 = -2*r, 0 = 5*f - 35*r + 37*r - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3*s**3 + 5314664*o**3*s**2 + o*s**3 - 52*o*s + 2552*o wrt o.\nAnswer: 12*o*s**3 + 31887984*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + -6 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 98 = 8*x - 8*x + 2*x, 0 = 19*x - 76 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10981 (base 12) to base 16.\nAnswer: 5671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 173 and 538?\nAnswer: 93074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -3*z**2\/2 + 32*z + 283. Calculate k(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o = y + 38, 0 = 3*y - 6. What is the lowest common multiple of o and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842279761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2580 is divided by 210?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 50*t + 3. Suppose 13*p + 26 - 37 = -4*z, -4*p + 5*z = 34. Determine j(p).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(5200) - sqrt(52)) + (sqrt(208)*4 + sqrt(208) - sqrt(52)))\/(6*sqrt(100)*2 + sqrt(100) + -1*2*sqrt(100)).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 + 139. Calculate the highest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 2 - 2)*(-1 + 0 - 1) + 6 + 4 - 3)*(w - 3*w + w) to the form m*w + n and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) - (-301)\/21. Let f be (-21)\/p*10\/(-3). Let y(r) = r**3 - 2*r**2 - 9*r + 12. What is the tens digit of y(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/2))**(-5\/6)\/((j\/j**(-1))\/j)**(-26))**(-7\/2))**(-8\/9) assuming j is positive.\nAnswer: j**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/7 - 16\/(-56). Solve -5*f = -i*m + 1, 3*f - 2 - 1 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/12 + 97*u**2. Let z(g) = -10*g. Calculate z(n(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**4 - 624*n**3 + 27596*n**2 - 307296*n - 2306880 = 0.\nAnswer: -5, 36, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17980 - -17980.2. Let s = 1 - 0. What is the third biggest value in k, -1\/14, s, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -82, 3, -4305?\nAnswer: -4305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**36)\/i**(2\/47))\/((i\/(i**(-1\/40)\/i*i))\/i**(4\/11)) assuming i is positive.\nAnswer: i**(-717677\/20680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 53*h**2 + 50*h**2 - 105*h**2 - 54*h. Let w(z) = -3*z. Calculate b(w(s)).\nAnswer: -18*s**2 + 162*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -70, -37790.\nAnswer: -37790, -70, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -6 - 18) + (-266 - -243)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1264, 1284, 1314, 1348, 1380?\nAnswer: 1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4382, 0, 6, 4, -3, -489 in decreasing order.\nAnswer: 4382, 6, 4, 0, -3, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8279.\nAnswer: 17, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -v, 13*t - 14*t - 1383 = -2*v - 1391 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 687 and 12824.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56842856*h**4 + h**2 + 1181*h - 43 wrt h.\nAnswer: 1364228544*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78122 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 14*x - 6. Let n be d(-9). Suppose -3*g + n = -0*g. Let w = g - 8. Solve 3*r - 1 = w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306318512?\nAnswer: 2, 17, 73, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 2*o + 7*o)*(4 - 2 + 0)*(-4 - 1 + 4) + o - o - 2*o + 1 - o - 1 + (0*o + o + 0*o)*(-3 + 1 + 1) + 2*o + 2*o - 3*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1836 and -0.15.\nAnswer: 275.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4 + 35*t**3 + 414*t**2 + 2052*t + 3672 = 0.\nAnswer: -17, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-18) + (-958)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 13*k**2 + 10*k + 18. Let r = -33 + 21. What is the tens digit of v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p - p - 7 - 3*p**2 + 13 = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -19 + 22, 2*n = -4*w + 10. Solve w*s + 14 = 5*t, -3*t + 2*s + 0 = -8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 376 from -0.311043.\nAnswer: -376.311043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3899 + -3894. Let v be (-14)\/(-4) - 2\/4. Solve g*w + v*c = 7, 5*w + 0*w - 4*c + 21 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -20*y + 178. What is the units digit of i(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -14, 48, 124, 208, 294, 376?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/(-5))\/((-1)\/5). Let j(i) = 1728*i**2 + 3411*i + 9. Let p be j(-2). What is the highest common divisor of s and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - -3) + -2)\/(945\/135)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 5*p - 10)*(-2 + 3 + 0)*(2*p - 3*p + 3*p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 5*p = -4. Suppose 5*r + 4 = -p*s, -4*r + s + 1 = -2*r. What is the units digit of (r\/(-2) - -2)*(-231)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5497.926 + -5505. Let b = a - -0.394. What is b rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300.43 decades in millennia?\nAnswer: 33.0043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-1128)*68 - 1\/2. What is the smallest value in 1\/3, -3, m, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 195, 325, 493, 717, 1015, 1405, 1905?\nAnswer: 2533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2*u**3 + 8170782*i**2*u**2 - 578*i**2*u - 2*i*u - 585*u - 15 wrt u?\nAnswer: 6*i**2*u + 16341564*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2183*k + 338. List the prime factors of t(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532539.642 rounded to the nearest one thousand?\nAnswer: -533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0262 + 0.028203. What is t rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-17)*o**(-14)\/o)**(2\/53) assuming o is positive.\nAnswer: o**(-64\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2560 - 2470. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 250, 2\/3, 1, 3, 0.3, -0.306, -27?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -172, -259, -346, -433, -520?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r - 2. Suppose -2*b + 7 + 19 = 0. Suppose b = -5*h - 22. Let m(u) = -5*u + 2. Let c(q) = h*m(q) - 6*g(q). Find the first derivative of c(n) wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 - f**5 + 2*f**5 - 2*f**5 - f + f + (-2*f**2 + 5*f**2 - 4*f**2)*(f**3 - 3*f**3 + 4*f**3) - f**5 - f**5 + f**5.\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.23 + -0.16. Let i = 4\/1969 + -3998\/29535. Let n = 4 - 1. What is the second smallest value in q, i, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1280615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 8 + 2*j**3 - 2*j**2 - 10*j**4 - 3*j + 5*j - 4*j as m*j**4 + z*j**3 + n*j**2 + q + w*j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 3. Let q be z(5). Suppose 0 = -3*b + 7 + q. What is the units digit of -4*((-3)\/(-2) - b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r + 5*k, -7*k = 3*r - 6*k - 15. Let p(a) = 40*a. Let y(g) = 1479*g. Let q(i) = r*y(i) - 221*p(i). Let w(u) = -7*u. Calculate w(q(h)).\nAnswer: -238*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/((-13)\/94029)*-1. Suppose s - 259 - 964 = -2*t, -r = -2*s + 3*t. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79.37 - 80. Let f = h + -114.37. Let q = f + 106.1. Round q to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(32)*4)\/sqrt(2))\/(5*sqrt(968)*-2).\nAnswer: -2*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/55 in -24, 18, 4, 2\/15, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 2, s: 9, w: 1}. What is prob of picking 1 d, 1 s, and 1 i?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43604 - 43640 = 3*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2219, -2489, -2759, -3029?\nAnswer: -3299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8095099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 4:48 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5552174 * -0.13\nAnswer: 721782.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 z when three letters picked without replacement from zuzzuz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/9)*m**(-6))**(-35)\/((m*m*m**(-2))\/(m\/(m*m**(-3\/4)*m*m))*m**(-2\/11)\/m**(-4\/7)) assuming m is positive.\nAnswer: m**(502115\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 11 - 2. Suppose o*a = a. Suppose 4*c + 3*t - 9 = c, a = -2*c - t + 3. Solve c = -3*j - 4 + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (-1 + 3) - -1. Let m be j\/(-3)*(-6 + 3). Let h(o) = -o + o - m*o + o. Let r(a) = -4*a**2. Give r(h(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16789 is divided by 8232?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 337718.4 to the nearest one hundred.\nAnswer: 337700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**6\/21 - 4*y**5\/35 + 4*y**3\/21 - y**2\/7 + 79. Factor l(p).\nAnswer: 2*p*(p - 1)**3*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 370*u + 3895. What is i(113)?\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132332 (base 5) in base 14?\nAnswer: 1505b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 20*m**2 - 21*m - 15. Let w be (-1)\/(2*4\/(-24)). Suppose -54 = -0*u + 3*u + w*v, 5*u + 97 = 2*v. What are the prime factors of o(u)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4340 by -4.\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Suppose 4*s - 20 = j, 2*s = 3*p - s + 9. Let n(h) = h + 2. Let i be n(4). Solve 0 = p*g - 2 - i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 900, 2460, 4678, 7554, 11088, 15280?\nAnswer: 20130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104 + 64?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 4, -3, 2, -74.\nAnswer: -74, -5, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 9:01 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/72 + 1 + (-81)\/(-4). Let u be (-1)\/(3\/(-9)) - (4 - j). Solve 4*o - u = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, c: 3, b: 12}. Give prob of sequence czzz.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - 3*d**2 + 40*d**2)*(-56*d**2 - 17*d**2 - 9*d**2).\nAnswer: -2706*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 3*t - 347*t**3 + 5*t + 348*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*n = 6, 4*r + 3*n = 25 + 8. Suppose 11*q - 20 = r*q. Suppose -3*i = 5*v - 12 - 3, -4*v + 12 = 0. Solve -2*z - 3*d + 6 = z, i = -q*z + d - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j\/((j\/(j**2\/j)*j)\/j))\/j)*j**(-5))\/(j**(-5)*j\/(j**(-3\/2)*j)) assuming j is positive.\nAnswer: j**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t. Let x be 1 + (t\/2)\/(-2). Which is the second biggest value? (a) -2\/13 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19116 and 194346.\nAnswer: 1166076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/8)\/(42\/(-224)). Let g(j) be the first derivative of 3 + 14\/5*j**5 + 0*j**3 + 0*j**q + 3*j + 0*j**2. Differentiate g(h) with respect to h.\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 1, -2, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 4*t**2 + t - 3. Let d be c(3). Suppose -d - 9 = -b. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 0 - sqrt(288)*-2)**2.\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*59811286\nAnswer: -29905643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2. Let h(m) be the first derivative of -7*m**2\/2 + 4. Calculate l(h(v)).\nAnswer: 147*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4027 by 6.\nAnswer: -4027\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40, -41, -44, -49, -56, -65, -76?\n\"Answer: -z**2 + 2*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**3 - 1. Let h(w) be the second derivative of -2*w**5\/5 + 223*w. Calculate 4*h(f) + 3*u(f).\nAnswer: -5*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:26 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = -3*s, 2*i = 2*s - 13 + 5. Suppose -56*z + 55*z + 28 = s. Suppose z = l - 4*q, -3*l = 5*q - 6*q - 73. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86*h**2*t - 882*h**2 - 16*t wrt t.\nAnswer: -86*h**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 43\/(-9) - (-18)\/(-81). What is the common denominator of (-39)\/35*x\/2 and -93\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 298 - 283. Solve -5*o + 2*o = -v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 113104548 a multiple of 1171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-4)*8\/(-5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u - 25 = -45*u. Suppose -u*f - f = -4074. Suppose 5*y - f = b, -5*y + b - 4*b + 663 = 0. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/5*n**3 - 3\/5*n**5 + 0*n + 3\/5*n**2 + 0 + 9\/5*n**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 639 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 82 = d - 1497, 0 = 3*t + d - 2369. List the prime factors of t.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 11 - 10*n**2 - 15 - 3.\nAnswer: -12*n**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -0*w - 6. Which is the closest to -9? (a) 1 (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + (-1*sqrt(468) - sqrt(468)))\/sqrt(12))\/(-2*sqrt(300)).\nAnswer: sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**8\/2520 - 83*c**7\/1575 + 92*c**6\/45 - 32*c**5\/3 - 341*c**2. Factor a(n).\nAnswer: 2*n**2*(n - 40)**2*(n - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-2 + 4 + 1)*((2 - 3 + 3)*(-4 - 2*n + 4) + (-3 + 6 - 5)*(84*n - 36*n + 108*n) - n + 0*n - n).\nAnswer: -954*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z - 5. Let l(i) = i - 2. Let p be l(4). Is z less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - b**2 + 6*b - 5. Give u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381481?\nAnswer: 381481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*o. Let w = -3539\/27 + 131. Which is bigger: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1268359 and -6341793\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3586628, 7173261, 10759896, 14346533?\n\"Answer: x**2 + 3586630*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 22*y - 25 = -3*q, 0 = 3*q - 4*y - 17. Let v(w) = -3*w + 28. Determine v(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {g: 4, i: 6, a: 7}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + o - 39971 = -5*j, -5*j - 2*o = -49963. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -2*o - 18*n - 135 - 37, -68 = o + 2*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 23 - 23)*(3*f**2 + 2*f**2 - 2*f**2).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f + 14*f + 0*f - 12*f**2 - 9*f**3 = 0. Calculate f.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -154 (c) -2 (d) -2\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*h - 3*b, -4*b - 25 = -5*h - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1032 and 86?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r**2 - 9*r + 21. Let t(s) = 5*s**2 - 4*s + 11. Let a(y) = -4*b(y) + 7*t(y). Let k = -117 + 123. What are the prime factors of a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 less than -205392?\nAnswer: -205394.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 107*b - 100. Let w be r(1). Solve -f = 5*t + 6, -w*t + f = -3*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = j, j - 6 = l - 6*l. Suppose -n - l = -2*n. Solve -3*d - 7 = -n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/6)\/(2\/(-4)). Suppose 366 = o*h + 10. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-103)\/(-1)*(-5)\/(-20)*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8136.7578 + 8138. Let a = 0.0682 - r. Round a to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 + 336*w + 13177. Determine d(-31).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/988 and 7\/196144.\nAnswer: 3726736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 360?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = b + 5*j, 3*j = 0. Let u(f) = f**2 - 6*f - 2. Let c be u(b). Let p be c*(-3 - (-9)\/6). Solve 2*x - p = 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 25029299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.17, -1\/5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - 0.22. Let t = -15\/4 - -25\/4. Which is the smallest value? (a) j (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:05 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14325298.\nAnswer: 2, 13, 550973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 70*v**2 + 214*v + 14980. Calculate k(-70).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20120, -80491, -181118, -322007, -503164, -724595, -986306, -1288303?\nAnswer: -1630592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.0172*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o*o\/(o*o**4)*o*(o*o\/o**0*o)**(-4\/23))\/((o**(1\/2)\/o)\/o**(-1\/17)*(o**0)**(-1\/11)) assuming o is positive.\nAnswer: o**(-845\/782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2202000 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298 = 43*n - 20 - 284 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16432 and 10.\nAnswer: 82160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 27 - 11)*(2*x**2 + 3*x**2 - 6*x**2)*(x + 3*x - 2*x).\nAnswer: 108*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {h: 6, b: 13}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 3*h - 4, 5*v - 19*h + 22*h = -8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/61 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a9 - 2?\nAnswer: 4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 29 = -4*z, 5 + 6 = -3*r - 4*z. Let l(h) be the third derivative of h**4\/24 + 7*h**3\/2 - h**2. What is the lowest common multiple of l(r) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/97857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*v**2 + 37 + 100*v**3 + 2*v**4 - 8*v**4 - 279 - 157 + 79 + 176*v = 0 for v.\nAnswer: -2, 2\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 2, t: 1}. Give prob of picking 1 t and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(99) - sqrt(99)*-2) + sqrt(99) + -4)**2*3.\nAnswer: -432*sqrt(11) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -0.3, -4, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6390 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15365508?\nAnswer: 2, 3, 37, 34607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w**2 + 1052*w + 682. Determine v(76).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 - 1390 = -375*i - 3594 - 7727 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*z**4 + 15*z**4 + 3 + 12 - 5*z**4 wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a - 1 - 10*a**3 + 7*a**3 - 7*a**2 + 2*a**3. Let r be x(-6). Solve -r*t - 12 = j, 2*t + 2*j = 3*j - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/123112 and 67\/10279852?\nAnswer: 20559704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**5 - 5*q**4 + 208180*q**2 - 32707*q - 8915.\nAnswer: -20*q**3 - 60*q**2 + 416360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8 + 630*q - 39*q.\nAnswer: 591*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -4. Let n(f) = f - 3 - 3*f**2 - f**3 - 3*f + 0*f**3. Let l be n(-3). What is the greatest common divisor of l and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23\/776 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16106141?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -224*q - 18103. Determine l(-81).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/((y*y\/(y\/(y\/(y**(3\/7)\/y))))\/y))**23)**(1\/44) assuming y is positive.\nAnswer: y**(-23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 1, -0.5, -437 in increasing order.\nAnswer: -437, -0.5, -0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*i - 120, -5*v = -4*i + 2*i + 80. Let l be (-140)\/i - 1\/(-2). Let k be 5\/l*36\/(-30). Solve -k*d + 25 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (-1827)\/58) + (-6)\/(-4). Suppose 4*s = -2*a + 362, -5*s + 177 = -3*s - 3*a. What is the highest common factor of q and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:21 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 + 5?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 4*d + 6*d)*(-2 + 1 + 2) + (-d - 3*d - 38*d)*(7 + 0 - 2).\nAnswer: -211*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 7:08 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**7*j*(j*((j\/(j*j\/j**(1\/2)*j))\/j)\/j)\/j)\/(j\/j**(-1\/8)*j*(j*j**(-1\/5)*j)\/j))**(-20) assuming j is positive.\nAnswer: j**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 55033?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 10100?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33842863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 7 + -10 - (24 + -17)) + 84 + 1?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 1 + 5\/2*g**2 + 5\/3*g**3 - 4*g. Let q(j) be the first derivative of u(j). What is the derivative of q(i) wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 330\/4*(240\/(-9) - 4). Let m = w + 5357. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3588 plus -3?\nAnswer: 3585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/7 + 610*w**2\/7 + 4544*w + 62048.\nAnswer: (w + 28)**2*(w + 554)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11279898 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-7) - (-4)\/((-16)\/(-12))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d**5 + 15*d**4 + 7611*d**3 + 149772*d**2 + 1035468*d + 2222640 = 0 for d.\nAnswer: -14, -21\/2, -4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76))**2 + -4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4320205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1010000100101?\nAnswer: -1010000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3520068552 to the nearest integer?\nAnswer: 59330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25\/3 (b) -1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*z + 144147 = 140339 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/13)*a*((a**(-1\/8)\/a)\/a)\/a)\/(a**(2\/11))**(-42))**(-2\/157) assuming a is positive.\nAnswer: a**(-6041\/89804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 2*v + 6, -5*n - 6 = -3*n + v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1867561487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -11*d - 2424. Let y = d - -463. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98437*5\nAnswer: 492185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 - 22*n**3 + 14*n**3 + 7*n**3 + 4*n**2 + 2. Determine f(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538660 = -26*z - 129966. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h - 4 = 0. Let j = 6 + h. Suppose -d - 3 = 0, -39 = -3*g + j*d - 3. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(1200\/(-625))*((-21)\/(-20))\/(-7)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/99)\/((-20)\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 51, -6277, -80 in decreasing order.\nAnswer: 51, 4, -80, -6277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3 + sqrt(405))**2 - (2*sqrt(405) + -1)) + (2*(2*sqrt(405) - sqrt(405)) + sqrt(405) + sqrt(405) + 0 + -5 + -1)**2 + -1.\nAnswer: -468*sqrt(5) + 6922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 + 2174*x\/9 - 2192.\nAnswer: 2*(x - 9)*(x + 1096)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -14087?\nAnswer: 14086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -174\/5. What is the nearest to s in -4, -3\/4, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*t**2 - 74*t**2 + 2*t**5 + t**3)*(-1 - 1 - 1).\nAnswer: -6*t**5 - 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 152 = -4*v. Suppose 92*n - 103*n - 99*n = 2860. Let q = v - n. Calculate the smallest common multiple of q and 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 - -7a92?\nAnswer: 8017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8675087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/3 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*v - 42. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -26*g - 2. What is the tens digit of q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3375791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(7*b - 3*b - 3*b)*(-22*b + 24*b - 39*b)*(47 + 5*b + b - 4*b).\nAnswer: -74*b**3 - 1739*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -419\/1833742 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nen when three letters picked without replacement from ttnennnnntnnnnnne?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + d + 1. Let q(a) = -3*a**3 - 6*a**2 + 2*a. Let m(o) = -2*i(o) + q(o). Suppose 123*z - 61*z = 63*z + 6. Determine m(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7334592 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1701210 is divided by 12986.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**3\/3 - 5*i**2\/2 + 3*i + 14. Calculate g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/32243589 and 55\/1939464.\nAnswer: 257948712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 5*t + 8, -2*r - t - 4 = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 14, s: 1}. What is prob of sequence serr?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 9 + 2*n + 16 + 15 in the form w*n + h and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-247)\/988)\/((-65)\/(-24))*26.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -421*s**2 + 10*s**2 - 184*s + 40*s**2 + 182*s - 545*s**2 to the form c + d*s + t*s**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.02 - 2.98. Let i(n) = n**2 - 3*n + 1. Let p be i(2). Sort u, 1, p in ascending order.\nAnswer: u, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:32 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*i - 49 - 35, j = -2*i - 24. Is 5 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.016 and 4.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 410 = 3*y - 1, 520 = 4*y - 4*g. List the prime factors of y.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 4*q + 9*q = 14*c - 36 - 105, 0 = -4*q - 108 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2. Let f(d) = 89*d - 12*d**2 - 9*d - 67*d - 8*d**2. Give f(k(m)).\nAnswer: -20*m**4 - 13*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2765*s + 100519 - 103284 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 + 1 - 5*i + i**2 + 4*i - 5*i**2 + i**3. Let t be r(-4). Let f = -2 - -3. What is the closest to f in t, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 70?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-12)*l**(-20)*((l*l\/l**(-1\/2))\/l)**5 assuming l is positive.\nAnswer: l**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:46 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18925606 by 18925606.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (1 + -21 + -5)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 11*n**2 - 28*n - 182. Calculate s(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.4, -0.66, 0.8, 13, -1\/14?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -87. Let a(c) = -c**3 - 4*c**2 - 2*c + 4. Let d be a(-5). Let g be d\/54 + (-1)\/2. Is g at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65062*l**5 - l**3 - 487*l**2 + 657011954*l?\nAnswer: -1301240*l**3 - 6*l - 974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 3.9, 0.2, 2\/7 in increasing order.\nAnswer: -3\/2, 0.2, 2\/7, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*f + 279*f + 14 - 906*f - 38*f**2 + 364*f.\nAnswer: -38*f**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from byvbbbbbd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*f + 44*f + 9. Suppose -3*r = f*r - 486. Is 27 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + r + 1)*(20 + 23 - 74 + 16 + 7 + 6398*r).\nAnswer: 6398*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2274604 + 2?\nAnswer: -2274602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*-19087.\nAnswer: 324479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73308 and 280596.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -2) + (-136)\/16.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332610*5.\nAnswer: -1663050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 433106 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -3, -2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*m + 6*m - 2 + 6)*(8*m + 0*m + 2*m) + (-2*m**2 + 0 + 0)*(-1 + 2 + 0).\nAnswer: 178*m**2 + 40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = d, 116*d - 20 = 4*n + 119*d. Let m(t) = -7*t + 2. Let v(k) = k + 1. Give n*v(j) + m(j).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i**2 + i + 3 - 5 + i. What is the units digit of v(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k - 1390. Let z(u) = 6*u. What is z(a(i))?\nAnswer: 48*i - 8340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 130.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/6 - -1)*3. Let i(w) = 3*w**2 + 4 - 3 + 3*w + 0. Calculate the remainder when i(r) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/5 - 30*c**4 + 2736*c**3\/5 + 2888*c**2\/5.\nAnswer: 2*c**2*(c - 38)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 j, and 1 e when four letters picked without replacement from {e: 5, j: 3, a: 1, d: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*n**2 + 64*n**2 + 52*n**2 as g + r*n + w*n**2 and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41 + -5406?\nAnswer: -5447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f + 4. Let n = -11 - -58. Let x = n + -44. Let j(q) = -8*q + 3. Determine x*m(d) - 4*j(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*t - 338*t + 686*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/15)\/d)**(-19) assuming d is positive.\nAnswer: d**(-38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 2)*(-2*c - 5*c - 6*c) + (2*c + c + c)*(-3 - 3 + 11) to the form m*c + i and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:55 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33\/3 - (-21)\/(-63)*-108609.\nAnswer: 2, 19, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**3 + 108*a**2 + 225*a + 132.\nAnswer: 3*(a + 1)*(a + 4)*(5*a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z, 0 = n - 0*n - 4*z - 28. Calculate the remainder when n is divided by 1\/(-2)*3*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 14 = j + 4*j, 3*j - x + 14 = 0. Let n be 0*(j\/2 + 1). Which is greater: n or -3\/10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 18 + n**3 + 7*n - 3 - 12 - 8*n**2. Let c be z(7). Let f be 20 + 10 - (-3 + (4 - 3)). Solve -4*k = 4*m + f, 6*k - c*k - 8 = 5*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2032331 (base 4) to base 9.\nAnswer: 13485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1330477*t + 837344 wrt t?\nAnswer: 1330477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*-4*140\/60.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26400834 is divided by 85.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3685928*d**2 - 26*d + 17. Let g be v(-13). Let u = g + -213039219419\/342. Let x = u + -9210\/19. Calculate the common denominator of x and 143\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2974418, -11897642, -26769678, -47590526, -74360186?\nAnswer: -107078658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -4.7. Let r = 0.3 + n. Let t = 0.627 - 2.627. What is the third biggest value in -0.05, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 176 + 0\/(2 + 1). Let n = -109 + s. Suppose -5*j - 3*v + v = -n, v = 3*j - 38. Calculate the remainder when j is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-1 - -10) + -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phen when four letters picked without replacement from {o: 1, e: 2, h: 6, n: 3, p: 4, c: 3}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230245?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246 by -123.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4722345 less than or equal to -4722340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1. Suppose 3*o = -3*q - 9, 0 = 4*o - o - 3*q - 15. Let k(i) = 7*i + 5. What is o*k(a) + 2*p(a)?\nAnswer: 7*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(36) - sqrt(252)\/(sqrt(112) + sqrt(7)))\/sqrt(12) - (5*sqrt(15)\/sqrt(5) - (3 + (sqrt(3)*-1 - sqrt(3)))**2).\nAnswer: -81*sqrt(3)\/5 + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*i + 3 = -3*z, -4*i + 13 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1)\/(3\/15). What is the common denominator of 71\/20 and ((-4)\/48)\/(g\/(-9))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -358.77 + 357. Let p = -3.77 - q. Which is smaller: p or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -295\/6 - -2053\/42. Is 14 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649273 is divided by 1002?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 129*f**2 - f + 129.\nAnswer: (f - 129)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.816 rounded to two dps?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 7:08 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 e when three letters picked without replacement from {g: 17, e: 3}?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 82, 146, 224, 316?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n\/n**6)))**9)**32 assuming n is positive.\nAnswer: n**(-1152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*v + 4*j, -5*j - 31 = -2*v - 4. Let m = -13 - -11. Let z = 5 - 3. Which is the closest to 1? (a) v (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035.754 rounded to the nearest 10?\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 + -0.02. Which is smaller: -0.3 or j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -129078?\nAnswer: 129076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 6. Let w(i) = 1. Let q(j) = -j**2 + j - 1. Let a(h) = p*w(h) - 2*q(h). Determine z, given that a(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebbeebezz. Give prob of picking 1 z and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - -1 - 12\/4. Let w be (3\/(-6))\/(1\/j). Suppose 13 = 4*u - w. Solve -g = -u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*d**3 - 165*d**3 + 80*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a factor of 2388840539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(3\/7)*u)**10 assuming u is positive.\nAnswer: u**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4032\/(-98))\/24)\/(-9*(-7)\/(-42)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15120 and 23364.\nAnswer: 9812880","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 i when four letters picked without replacement from riciiciiiciiiccii.\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12\/6887 (b) -0.11 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/915, 0.12, -52\/11, 2 in descending order.\nAnswer: 2, 0.12, -2\/915, -52\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**4\/4 - 4*v**3\/3 - v**2\/2 + 3. Let i be o(-4). Solve -4*q - i = -0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -419, -522, -539, -470?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.5, 0.1, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*a**3 + 130*a**3 - 53*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 16*d. Let k(y) be the third derivative of 9*y**5\/20 - 303*y**2. What is l(k(z))?\nAnswer: 432*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 896008 and 78772?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -189*c**2 - 173*c**2 + 64*c**2 + 1 - 2*c - 3*c**3 + 2*c**3 + 34*c**2 in the form h*c + j*c**3 + g + m*c**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42845, -85705, -128577, -171461, -214357?\n\"Answer: -6*d**2 - 42842*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 7*a**2 - 5*a. Let m be r(5). Calculate the remainder when 41 is divided by (-4)\/98*-7 - m\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djx when three letters picked without replacement from jdxpdjddjddddpjjdpj.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154418347\/3586 + -473676\/11. Calculate the common denominator of f and 17\/14.\nAnswer: 25102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 12:40 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d - -3?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9717 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 21. Does 4 divide c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1269, -4848, -10739, -18948, -29481, -42344, -57543, -75084?\n\"Answer: -f**3 - 1150*f**2 - 122*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -17\/55?\nAnswer: -17\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.61250998 to two dps.\nAnswer: 7.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151 + -161.88. Let h = x - 0.12. Let k = h - -11.5. Which is the biggest value? (a) 4 (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(7) + (-2*sqrt(7)*1 - sqrt(7)) + (-1 + sqrt(7) + -2)**2 - (0 + ((-2 + sqrt(175))*5 - sqrt(175))**2).\nAnswer: -2879 + 392*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 28\/12 + ((-352)\/72 - 48\/108) + 66\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6257 by -2.\nAnswer: 6257\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -126463*v - 1 + 3*v**4 + 6*v**3 - v**2 + 126462*v + 0*v**2 in the form l*v**3 + a*v**4 + y*v + k + o*v**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*j - j + 49, -4*j + 12 = 0. Suppose -3*i = 2*i - 120. Let r be y\/i + 9\/12. Is r > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6394 and -113513.\nAnswer: -725802122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4435677.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -50. What is the closest to -1 in q, 5\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:07 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 - 30*o. Let z(p) = -p. Let w be 2*4\/(-8) - 0. What is w*m(r) + 30*z(r)?\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**3*p)\/p)\/p)**(2\/99)\/(p**(-3\/7)*(p\/p**(-3\/7))\/p))**(1\/11) assuming p is positive.\nAnswer: p**(4\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38271413 to the nearest integer?\nAnswer: 6186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 22. Suppose -112 = -4*s + 4*t, 0*s + 5*t - 85 = -4*s. Calculate the remainder when s is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 8:24 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13086 - -23431. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*m + 0*m - 21*m)*(-m**3 + 5*m**3 - m**3) to the form l*m**2 + c + n*m + p*m**3 + f*m**4 and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*p = -x + 13, -5*p - 45 = -5*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - 4*z**2 - 5*z + 14. Let w be r(2). Solve 2*p = 6*p + w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4cd571 (base 14) to base 10\nAnswer: -2649039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.19, 1, -42, 5, 0.077, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m**3 - 6*m**2 + 6*m - 20. Let q(h) = -90*h**3 + 55*h**2 - 55*h + 180. Let n(i) = -55*a(i) - 6*q(i). Differentiate n(g) wrt g.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bb859 - 306?\nAnswer: -bbb61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 487340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1894, -2434 in decreasing order.\nAnswer: 1894, 5, -2434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25566717 is divided by 133.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 855872.\nAnswer: -3\/855872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - 423345.\nAnswer: -423344.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 27. Suppose -195 = 11*c - 442 + 126. What is h(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 14*d + 90. Let n(f) = -28*f - 180. Let b(w) = -6*n(w) - 13*r(w). What is the remainder when b(-9) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42b06 (base 15) to base 8\nAnswer: -635423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2 + h + 1. Give k(4).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**3 - 224*z**2 - 16*z - 83. Let y(h) = 8*h**3 - 225*h**2 - 19*h - 82. Let k(i) = -6*v(i) + 5*y(i). Find the second derivative of k(n) wrt n.\nAnswer: -12*n + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.8912 weeks in minutes?\nAnswer: 200503.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - b - 3*b)*(-3 - 3 + 3)*(-3*b**2 - 3689*b + 3689*b).\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -94, 2, 151, 11, 0.\nAnswer: -94, -4, 0, 2, 11, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 3036 = 43404. What is i rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-3)\/((-6)\/(-12)*-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 172*i - 168.\nAnswer: -4*(i + 1)*(i + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 + 5571738*v + 7761066085161 = 0. What is v?\nAnswer: -2785869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*f**2*o - 621*f*o**2 + 11*o**2 - 2*o + 60 wrt f?\nAnswer: 60*f*o - 621*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053 (base 6) in base 3?\nAnswer: -100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.097*-0.4264\nAnswer: 0.0413608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*a + 2)*(-7*a**2 + a**3 + 7*a**2)*(-1 - 3 + 5)*(-3 + 1 + 3)*(-18 + 1 - 19)*(-7 + 3*a + 7).\nAnswer: -216*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 321, 6, -10, -4, -2 in ascending order.\nAnswer: -10, -5, -4, -2, 6, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 432 or -5?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-2)*(1 - (6 - 1)). Suppose 29*a - n*a = 3707. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 c when three letters picked without replacement from rggoogcgr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caanccabacaann. Give prob of picking 3 n.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 - 0.2392. What is v rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c**2 - 7*c**2 - 7*c**2 + 4*c + 6*c**3. Let g(k) = k**2 - 2*k**3 + k**3 + 0*k**2. Let o(z) = 12*g(z) + s(z). Factor o(m).\nAnswer: -2*m*(m + 1)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*b + 831, 0 = s + 3*b - 27 - 144. Suppose 10*r - 2*r = 376. Suppose 2*x = 19 + r. What is the greatest common divisor of s and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -186\nAnswer: 7.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-4))\/l*l**(-2\/9))\/(l**(-2\/7)*l*l)**(-24\/11)*(((l\/(l\/l**(-2\/7)))\/l)\/l**(3\/7))**45 assuming l is positive.\nAnswer: l**(-53794\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001178555 to seven dps.\nAnswer: 0.0001179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1920144 divided by 12\nAnswer: -160012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291935055.\nAnswer: 3, 5, 107, 181891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*q + 133*q + 131*q + 0*q**2 + 40*q**2.\nAnswer: 40*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 + z**2)*(3*z**3 + 2*z**3 - 6*z**3) + 3*z**2 - 3*z**2 - z**5 + (z**2 + 8 - z**2 - 3*z**2)*(-24*z + 5*z**3 + 24*z).\nAnswer: -17*z**5 + 40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -112*y - 419. What is m(-6)?\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -63. What is the third biggest value in g, -15, -0.5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3409*s - 4435. Is x(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -53. Find the third derivative of 3*k**2 + 10*k**6 + 2*k**5 - u*k**5 + 1 + 4*k**2 - 3*k**6 wrt k.\nAnswer: 840*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106192 a multiple of 689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -5. Suppose -4*h = 2*r - 4, -46*h + 50*h - 4 = 5*r. Sort 0.1, g, 4, h in ascending order.\nAnswer: g, 0.1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2426776 and 21582.\nAnswer: 21840984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403 + 1341*o + 915*o - 561*o - 400.\nAnswer: 1695*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let n be f(-3). Find the second derivative of -2*y**n + 4*y - 3*y - 3*y**3 + 6*y**3 wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 14*m**2. Let w(l) = -5703 - 5701 + l**2 + 11404 + 4*l. Determine t(w(n)).\nAnswer: 14*n**4 + 112*n**3 + 224*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 438*l**2. Let c(o) = -2*o - 5867. Determine c(x(m)).\nAnswer: -876*m**2 - 5867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b46 (base 16) to base 12.\nAnswer: -3a85a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -917 greater than -21085\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 19\/5 (b) -0.2 (c) -126 (d) 5 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 9) to base 14\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7000, 13409, 18666, 22195, 23420, 21765, 16654, 7511?\n\"Answer: -96*f**3 + 7081*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaccbcbaaaaa.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2. Let b(y) be the third derivative of -y**5\/60 - 4*y**2. What is b(r(i))?\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 61*y**2 - 1015*y - 2523.\nAnswer: -(y + 3)*(y + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -2\/23 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6*s*s*s\/(s**(-12)\/s)*s\/s**1*s\/s**8 assuming s is positive.\nAnswer: s**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/3 + 506*q**3\/3 - 20975*q**2 - 96900*q + 1300500 = 0. What is q?\nAnswer: -10, 6, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eupp when four letters picked without replacement from cepxuxxuup.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026604416 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1573))*-6.\nAnswer: -66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-3\/20)*v*v**(3\/8)*v\/(((v\/v**21*v)\/v)\/v*v) assuming v is positive.\nAnswer: v**(179\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -248, 5, -566, 4, -5 in descending order.\nAnswer: 5, 4, 2, -5, -248, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocofooooof. Give prob of sequence ooo.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 7*m**2 + 4*m - 1. Let u be t(-8). Find the third derivative of 0*z - u*z**3 + 0*z + 4*z**2 + 29*z**3 wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -5)*(-3)\/(432\/(-6))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - 4*(sqrt(1573) + 1))**2 + -5 + (sqrt(208)\/sqrt(4) - (sqrt(13) + sqrt(78)\/(sqrt(6)*-1))) + -3.\nAnswer: 266*sqrt(13) + 14165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 2, p: 10, s: 6}. What is prob of picking 1 z and 3 p?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 32940 = 5*k, -o = -28 + 27. Let b be (-3 - 2)*(-4)\/10. Suppose -5*r + b*p - 1988 = -k, -4*r = p - 3687. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*p - 30*p + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = v - 7, -2*b + 2*v + 3 + 7 = 0. Suppose h + b = 9, 3*f - 15 = -3*h. Put -1, 5, f in descending order.\nAnswer: 5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 5*y**2 + 6*y + 2. Let d be c(5). Suppose -22 - d = -3*a. What is the highest common divisor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 76\/(-5) + (-7)\/(-35). What is the tens digit of (-20574)\/(-45) + 3\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40592 divided by 1126?\nAnswer: -20296\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 4. Let r be i(-1). Solve 4*f + 13 = m, r*m - 3*f - 7 = f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.28 - -2.72. What is the biggest value in -5, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.81 or -1252591?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/146448 and -47\/6.\nAnswer: 146448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 27 = 3. Let k = s + 26. Calculate the greatest common divisor of 54 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -278 + 278. Sort d, 1\/9, 12 in ascending order.\nAnswer: d, 1\/9, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13850\/(-15512)*(-192)\/(-40).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8 or 2711160?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 78 - (103 - 107 - 0)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 + 3*k + 1137*k**2 + 1414*k**2 - 2*k**3 - 2558*k**2 as d*k**2 + t*k**3 + u + i*k and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1203177 and 278913?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 8.0000028. Round j to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from aababxa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, -2, -3 in increasing order.\nAnswer: -5, -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20\/24*84\/280\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*b + 61 + 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 m when four letters picked without replacement from mgmggmmmgmmmmgmgmmg.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:53 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1695 - -160181.733.\nAnswer: 160181.9025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -156573600 rounded to the nearest 1000000?\nAnswer: -157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 10*4\/10. Is 5 + (o - -149 - 0) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2. Let q(f) = f**2 - f - 17. What is -14*n(m) - 2*q(m)?\nAnswer: -2*m**2 + 2*m + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-55)\/(-1) - (-1 + 3). Suppose -51*y + g*y = 44. What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -2*b. Suppose -10 = -3*c + o, b*c = o + 20 - 0. Let r = 7 + c. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 5 + (0 + 2 - (-34 + 41)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8) - 34\/(-4). Let a = -132350 + 132386. What is the greatest common divisor of o and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6061, -12034, -17861, -23470, -28789, -33746?\nAnswer: -38269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27280 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -5 (c) -1\/5 (d) 0 (e) -29947\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 1\/30*w**5 + 0 + 0*w - 2\/3*w**3 + 5*w**2 - 1\/120*w**6 + 1\/8*w**4. Is 8 a factor of u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 bigger than 410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512671 (base 9) to base 16.\nAnswer: -4a2c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 2. Let i be w(3). Let b(x) = 22*x + 517. Let t be b(-22). Solve -i*q = 4*c + t, 16 = -c + 3*c - 4*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28534, 57030, 85520, 114004, 142482?\n\"Answer: -3*n**2 + 28505*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(2\/3)*h\/h**(-2\/17))\/(h\/(h**(-1)\/h)*h**(-8)\/h))\/(h*h\/h**3*(h\/(h*h\/h**(-6)))\/h*h**7\/(h*h\/(h*h**(-1\/2)))) assuming h is positive.\nAnswer: h**(1219\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - 0 - -3) + -13 + 111. Let l = y + -98. Let u be 2\/(-4) + (-47)\/26. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 302.647273 to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -19\/2*z**2 - 67\/3*z**3 + 132 - 1\/4*z**4 - 2*z. What is the second derivative of f(x) wrt x?\nAnswer: -6*x - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/14))**5\/((w**(-6)*w)\/w*w**14))**(1\/23) assuming w is positive.\nAnswer: w**(-107\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27664 = 764*g + 370*g + 71890 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from rjjjejjmjjjmjm.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31455, 62938, 94383, 125772, 157087?\n\"Answer: -3*i**3 - i**2 + 31507*i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 391. Let a(y) = 2*y - 388. Determine -6*a(f) + 5*x(f).\nAnswer: -2*f + 373","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 2 - 2*z + 4*z + 6 - 5*z. Suppose -5*v - 10 + 0 = 5*t, 4*v - 5*t - 10 = 0. Let p be m(v). Sort 5, p, -1\/5 in descending order.\nAnswer: 5, p, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -8, -5, -7, 3 in descending order.\nAnswer: 3, -5, -7, -8, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Suppose 6 = k*i - 6. Find the third derivative of 2*u**6 + u**6 - 2*u**2 + i*u**2 wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = 5*q. Suppose -2*v + 2*t + 0*t = 16, 4*v + t + 22 = 0. Does 15 divide -1 + v*(q - 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-79)\/(-66)*-4*(-3)\/2)\/(80\/880)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 271512547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -5, 0, -142, 27 in decreasing order.\nAnswer: 27, 1, 0, -2, -5, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 66 = -56 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22553 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 260*v. Let a(k) = -29*k - 255. Let j(c) = -5*c - 45. Let g(i) = -6*a(i) + 34*j(i). Determine g(z(o)).\nAnswer: 1040*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 47 = -2*u, -50*q + 53*q - 2*u = 27 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0.596672?\nAnswer: -5.596672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -58742 to the nearest 100.\nAnswer: -58700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 7:50 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2460, 4918, 7376?\n\"Answer: 2458*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 924960 divided by -23124.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -59. Suppose -2*x - x = c + 5, 0 = -2*c - n*x - 8. Which is smaller: -8\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2678800 to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -10*q + 5*q + c, -4*c - 3 = -3*q. What is the greatest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1752 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28*1 + (4 - (3 + 1)). Suppose -5*x + 41 = r, 4*r = r + x + 75. Let l = r + p. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 - 2.4. Let r = 0.5 + l. Sort 0.1, 3\/5, r in descending order.\nAnswer: 3\/5, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.285646 to 2 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7318*x + 7465 + 6503 = 6650*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 6*r + 1. Let y(p) = -3*p + 1. Let s be (-4)\/(0 + (-4 - -2)). Let f be y(s). Calculate the remainder when i(f) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2570*o - 1. Let g(c) = 1230*c + 2. Give h(g(r)).\nAnswer: -3161100*r - 5141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 123*u**3 + 8*u - 61*u**3 - 60*u**3 + 4. Let n(l) = l**3 + 3*l + 1. Suppose 4*h + 53 - 85 = 0. Let o = 6 + -9. Determine h*n(i) + o*q(i).\nAnswer: 2*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122050 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/6)\/((-4)\/(-8)). Put -4, v, -2 in increasing order.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*x = 164*x + 17278 - 6462 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.1, 0.1, 1\/4, 0, -231, 0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 4*g**6\/9 - 22*g**5\/15 + g**4\/6 + 26*g**3\/9 - 5*g**2\/3 - 4*g\/3 - 2. Suppose h(t) = 0. What is t?\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + ((sqrt(78) - (sqrt(78)*1 + sqrt(78)))*-5)\/((sqrt(60)\/sqrt(5))\/sqrt(2))*-3.\nAnswer: -15*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4630541 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603488 is divided by 25097.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:55 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {z: 3, o: 3, u: 3, h: 5, w: 2}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131528 divided by 1604?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 c when three letters picked without replacement from {l: 3, c: 1, n: 2, k: 2, r: 6}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -12*(-10)\/45?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223 - -235. Solve 2*n + 2*n = -t, 0 = -2*p - n + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**2\/7 - 450*r\/7 - 16875\/7 = 0.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cooi when four letters picked without replacement from iocqoco.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/6 + 241028*i\/3 + 482053\/2 = 0. What is i?\nAnswer: -482053, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**3 + u**2 - 68*u + 138. Determine f(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234610956 a multiple of 4237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) -1 (c) -0.3 (d) 0.3 (e) -1454\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/8*((-590)\/(-472) + (-49)\/36) and -3\/952.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -761, 4, -0.1, 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*n = 47, -4*m = -3*n + n - 36. Let o be ((-6)\/2)\/((-2)\/202). Suppose -3*g + 60 = -o. Calculate the greatest common factor of g and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t, 3*s - 61*t + 66*t + 20 = 0. Sort 14, s, 0.4 in ascending order.\nAnswer: s, 0.4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8191.015m in millimeters?\nAnswer: 8191015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12223 is divided by 1730.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 32 + 22*a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6*-33 - 4. Suppose -8*d + b*d + 3 = 0. 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 prob of picking 1 f, 1 t, and 1 b when three letters picked without replacement from {t: 1, b: 3, f: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 64, 202, 418, 706, 1060, 1474, 1942, 2458?\n\"Answer: -m**3 + 45*m**2 + 10*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from gojgojogrjkjjjjjkj.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45738 is divided by 11434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624633708.\nAnswer: 2, 3, 59, 882251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -331\/6 + 55. Sort a, 23, 0.5 in descending order.\nAnswer: 23, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/10302 and -62\/56661?\nAnswer: 113322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 92223*d + 4150023. Determine v(-45).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -297 + 4453\/15. Let k be (-4)\/14 - -1 - 1. Let y = 2 + -4. Which is the nearest to -1? (a) k (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 11*h + 347 = 0, -4*y - h - 4572 = -0*h - 4549 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-3 + 1) - -3 - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5222230170 to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.107, -1\/5, -0.1, -327 in descending order.\nAnswer: -0.1, -0.107, -1\/5, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 270*l - 78*l + 213*l + 76*l - 87*l to the form j*l + f and give j.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-48 - (-3 + 9 + -15 + 3)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 281426984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*h - 215 + 229 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101116 - 6?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1172*z**3 - 1393*z**2 + z + 3. Let s(t) = t**2 - t - 3. Let a(w) = p(w) + s(w). What is the third derivative of a(o) wrt o?\nAnswer: -7032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98a (base 11) to base 6\nAnswer: -5255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - a**2 + a - 1. Let g(w) = 4*w**3 - w**2 - w + 2. Let v(p) = -4*f(p) - 2*g(p). Solve v(q) = 0 for q.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/10 + 1693*w\/10 + 3394\/5 = 0. What is w?\nAnswer: -4, 1697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 5*c**2 - 4*c - 6. Determine y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41367016 + -65678048.5. Let i = -24311162.499947 - r. Let k = i + 130. Round k to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22666 - -22665.96. What is the closest to 1 in -1\/7, y, -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 270*n**3 - 12*n - 10*n + 1 + 23*n as u*n**2 + o*n**3 + a + s*n and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -360.9 - -310. Let z = o - -2.9. Is 0.1 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1807 + 2611. Suppose -x - 626 = -11*g. What is the smallest common multiple of g and 6?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -2) + 6 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1167, 3560, 7201, 12096, 18251, 25672, 34365, 44336?\n\"Answer: h**3 + 618*h**2 + 532*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z - 6. Let o be (-8)\/z*(-3)\/(-6). Suppose 4*a = 16 - 0. Solve -a*f = -o*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -17133.3?\nAnswer: 17133.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1288122 and 58551.\nAnswer: 1288122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 - 9*p**2 + 17*p + 11. What are the prime factors of c(7)?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4039 - -19) + -9 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + 35 + -27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 253 + -181. What is the remainder when b is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93290 = -3*w + 2*j, -2*w - 5*j - 62225 = -0*j. What is w rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5 - 325*t**4\/2 - 179*t**3 + 693*t**2\/2 + 104*t - 106 = 0. What is t?\nAnswer: -53, -2, -2\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -17*g + 2. Let v be h(1). Let k be ((-8)\/6)\/((-5)\/v + 0). Is (-3003)\/k - (-6)\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/18 + (-124)\/72. Let g = -15 - 4. Let d = 22 + g. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + 55395?\nAnswer: 55418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1812 or 2948?\nAnswer: -1812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 2.74 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.9 + -40. Let p = -3.9 + s. Let q = -23.4 - -23.7. Which is the nearest to p? (a) -1\/6 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334202 + -32?\nAnswer: 334120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5\/3, -5, -2655?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -16, -31, -64, -121, -208?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 35*q**2 - 816*q + 218. What is x(23)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g**3 - 9*g**2 - 387*g - 6. Let p(t) = 11*t**3 - 10*t**2 - 391*t - 7. Give 8*b(i) - 7*p(i).\nAnswer: 3*i**3 - 2*i**2 - 359*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o**3 - 7*o**2 + o - 7. Let k(q) = -18*q**3 + 11*q**2 - 2*q + 11. Let i(p) = -8*h(p) - 5*k(p). What is the units digit of i(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**9\/2160 + c**5\/30 + 5*c**4\/6 + 7*c. Let j(n) be the third derivative of z(n). What is the derivative of j(w) wrt w?\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - m - 1. Let f be x(-2). Does 7 divide 14*f*25\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:56 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8248*j**2 + 2929108 - 2929108 to y*j**2 + t + s*j and give y.\nAnswer: 8248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -10, 6, 36, 86, 162, 270?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 2*v + 3. Let a be j(3). Let c(f) = 0 + a - f. Let l(k) be the second derivative of -k**3\/2 + 2*k. Calculate c(l(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**4\/24 - v**3\/3 - 1. Let t(s) be the third derivative of p(s). Let b(k) = 11 + 9 + k - 18. What is -b(u) + 4*t(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**6\/2520 + g**5\/280 - 11*g**3\/6 - 2*g. Let o(v) be the second derivative of h(v). Suppose o(r) = 0. What is r?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -29, 0.1, 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*q**3 - 197*q**3 + 99*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 319, 2, -10, -133, 4 in ascending order.\nAnswer: -133, -10, 2, 4, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*f = -10, 0 = -3*q - 2*q + 2*f - 86. Is -17 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7474, -14939, -22402, -29863, -37322, -44779?\n\"Answer: z**2 - 7468*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 651 and 34503?\nAnswer: 34503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 + 1285*j**2 + 110 - 110 - 731*j**2 as h*j + v*j**2 + y*j**3 + m and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 15 = 20*o. Let g = 106 + -76. Let i(d) = d**3 + g*d + 2 + 21*d - 49*d - o*d**2. Give i(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -374, -373, -382, -407, -454, -529, -638?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2332*0.1\nAnswer: 0.02332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2229*3.\nAnswer: 6687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from {k: 2, s: 4, c: 2, a: 1, o: 2, z: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5101423 + 5?\nAnswer: -5101414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 56395 times 1775\nAnswer: 100101125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -8\/7*z**7 + 0*z + 0*z**5 + 0*z**2 - 3*z**3 + 0*z**4 - 7 + 0*z**6. Find the third derivative of v(a) wrt a.\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.039369 * 0.2\nAnswer: 0.0078738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/52 and ((-16)\/(768\/(-306)))\/(6\/(-4)).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from {u: 2, q: 7, z: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4671, 4621, 4485, 4221, 3787, 3141, 2241?\n\"Answer: -7*x**3 - x**2 + 2*x + 4677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 i when four letters picked without replacement from vivvvvivvvivvivvvvv.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 - c**3 + 0*c**3)*(47 - 6 + 4).\nAnswer: 90*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119 and 98.\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 - 9 = -5*l, -3*l = 2*o - 18. Suppose 16 = 2*h - o*h. Which is the second smallest value? (a) 0 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*d - 5338 = -319 + 8051 + 1218 for d.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6404 (base 13) to base 14\nAnswer: -50a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -5)*11\/3. What is the units digit of (-2)\/5 + g\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 14. What is n in 15*n**2 + 3*n**3 + 0*n**3 - 15*n**r - 3*n**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 155.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((238\/51)\/(-14))\/(2\/48).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -5. Let a(t) = -4*t**3 + 8*t**2 - 13*t + 37. Let q(v) = v**3 - 2*v**2 + 3*v - 9. Let f(i) = -2*a(i) - 9*q(i). What is the tens digit of f(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:18 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 327 divided by -3\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + 16 + -32 + -21.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*y**4 + 342550*y**3 - 3*y**2 - 159*y - 22987 wrt y.\nAnswer: -168*y + 2055300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182152 (base 16) to base 4.\nAnswer: -12002011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 4 - 2)*(1 + 4 - 2)*(-4*o**3 + 6*o**3 - 3*o**3 + (2*o**3 + 3*o - 3*o)*(-2 + 4 - 3) + 2*o**3 - 5*o**3 + o**3 + 0*o**3 - 4*o**3 + 2*o**3).\nAnswer: -441*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2096.393297 to one dp.\nAnswer: 2096.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/3))**1*(g*(g\/g**(1\/17)*g)\/g)**(1\/22) assuming g is positive.\nAnswer: g**(-229\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 9\/264764, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5 + 50*d**4 - 144*d**3 + 142*d**2 - 47*d = 0.\nAnswer: 0, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + 3027?\nAnswer: 2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/11, -0.09, 1\/63?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 282 = -2*n, -4*n - 2*u = -5*n + 144. Suppose n = -65*v + 67*v. Let k = -64 + v. Solve -1 = k*r + 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 2*o**2 - 4*o. Let z be n(-3). What is the hundreds digit of 110 + -5 + 12\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5 + 15. Suppose -5*v + z = -6*v, m - v = 23. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 285 and 186468.\nAnswer: 17714460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 14 + 18 = 0. What is the second smallest value in 4, -0.2, n, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 95, 81, 67, 53, 39, 25?\n\"Answer: -14*l + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -239463.4785403 and -2.\nAnswer: -239465.4785403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {e: 1, m: 6, g: 4}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 366287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:14 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34730, -34729, -34728, -34727?\n\"Answer: m - 34731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 5638. Let c(x) = -2*x**2 - 3*x + 8. Determine t(c(f)).\nAnswer: 4*f**2 + 6*f - 5654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -5, 0, -86 in increasing order.\nAnswer: -86, -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -9 (c) -2 (d) -14.8 (e) 1.6 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.091840099 and 0.71?\nAnswer: 3.381840099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 2*5 - (-60 + 56). Solve 4*x - 11 = x - 2*b, 0 = 5*x - 5*b + s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0645836 and -0.5.\nAnswer: -0.4354164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -427935, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 12*f. Let b(y) = 73*y**3 - y**2 + 48*y + 762. Let r(s) = b(s) - 4*l(s). Differentiate r(u) wrt u.\nAnswer: 219*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 274*h - 19723. What is v(72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 153*d**2 + 292 + 65*d**2 - 292.\nAnswer: -88*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-5))\/((-1)\/(-95)). Let v = h - 17. Let n = v - 30. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3971?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371\/(-7 + 14 - 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4696 is divided by 1547?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**3 - 2*f**2. Let o(v) = -6*v**3 - 4*v**2. Give 3*o(j) - 7*y(j).\nAnswer: 3*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659837788.\nAnswer: 2, 1447, 114001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254476.\nAnswer: 2, 113, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*s + 16 + 9, 0 = 2*s - 2. Let p be (6 + 0)*2\/h. Suppose -f - 28 = -p*f. Calculate the highest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13))**(-2\/29) assuming u is positive.\nAnswer: u**(26\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165062719 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334240?\nAnswer: 2, 5, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 1. Let g be j(-7). Let k = g - 43. Let p = 30 + k. What is the highest common divisor of 10 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 2, q: 2, k: 1, p: 1}. Give prob of sequence qq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1097670.9 to the nearest one thousand.\nAnswer: -1098000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 303012 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*h + 104*h + 34*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2))\/((-15)\/60). Suppose -3*l = d - 24, -2*d - s + 24 = -4*l. What is the greatest common factor of d and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 42 = 12*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 756, 3040, 6860, 12228, 19156?\n\"Answer: 2*m**3 + 756*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (-2 - (-38 + 3))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/22 + (-4)\/22. What is the derivative of -a**4 - 2 + 0*a**2 + h*a**2 wrt a?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55319*a**5 - 429*a - 52 wrt a?\nAnswer: -1106380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - -65. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5*y**2 - 3 + 98267*y - 4*y**2 + 24881*y.\nAnswer: y**2 + 123148*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 29 - 20. Does 39 divide (19404\/(-35))\/i*(-20)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31922.\nAnswer: 2, 11, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 2. Does 11 divide (-222)\/d - (-9)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57679976 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jus when three letters picked without replacement from {w: 3, u: 4, j: 4, x: 3, s: 3}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 906 = y + 3*f - 527, 0 = -5*y + f + 7245. What is the highest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -8*n - 5*y + 583387, -4*n + 2333460 = -2*y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 2 + -8 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -114. Calculate the remainder when 191 is divided by t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612310 equal to 1612307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119\/6 - -100\/3. Suppose 4*n + 0*n - 4*m + 36 = 0, 0 = -n + 3*m - 13. Calculate the common denominator of ((-70)\/(-49))\/((-11)\/n) and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1142 + 1084 + 61 - 3292 - 2061 - 684)*(-4 + 4 + 2*z) to f + n*z and give n.\nAnswer: -12068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/208 + 669*1\/39 - -1. Let n(d) = d**3 - 18*d**2 - 4*d + 60. Determine n(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 2 + -2 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -2 + -3 + 12. Let i(n) = n**2 - 10*n + 9. Let a be i(v). Let m be a\/(28\/(-12)) - 0. Put m, 5, -9 in ascending order.\nAnswer: -9, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 126 = 4*d. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 11 = 2*d - 12, 0 = 4*p + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 1886 = -14*i. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5140525 (base 7) in base 9?\nAnswer: 1136454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5521272234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -308138, -308144, -308150, -308156, -308162, -308168?\n\"Answer: -6*a - 308132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-35)\/(-10))\/7*-8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuuuujjuuujuu. Give prob of sequence jjuj.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 191.1 + -196. Let b = d + 4.89999543. What is b rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213101 (base 5) in base 9?\nAnswer: 10874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 139*m**3 + 1305*m**2 + 3969*m + 3996.\nAnswer: -(m - 148)*(m + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Let t(g) be the third derivative of 4*g**2 + 0*g + 0 - 1\/10*g**5 + 0*g**3 + 1\/120*g**6 + 5\/24*g**4. What is t(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -10*a - 21 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8868\/22145 + -2\/4429. Sort 35, n, 0 in decreasing order.\nAnswer: 35, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155015 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y + 2. Let l(f) = 14*f + 3. Let p(i) = -7*d(i) + 5*l(i). Differentiate p(n) with respect to n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, 7, 18, 33, 52?\n\"Answer: 2*l**2 + l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:58 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1477 - -860. Let v = d + 618. Calculate the lowest common multiple of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -2. Let r = -5\/19 - -73\/133. What is the second biggest value in n, r, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -5. Let k = 3.1 + s. Let q = -8 - -8.4. What is the closest to k in 0, -4, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**4\/4 + 51*q. Let y(x) = -x**3 - x**2 - 2*x - 2. Let b be y(-2). Let r(o) = -96 + b*o**2 + 96. Calculate r(p(a)).\nAnswer: 54*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:02 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaja when four letters picked without replacement from jaaja?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 855?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 205, 139, 37, -107, -299, -545, -851?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g - 5. Let h be o(-2). Suppose 14*c - 11*c - h = 0. Find the first derivative of 86*q - 1 - 80*q + c wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116220 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, -134, -375?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1318, -3955, -6592, -9229, -11866, -14503?\nAnswer: -17140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = b + 13, 0*b - 2*b - d = 40. Let i be 12\/(-42) + 58500\/b. What is the tens digit of i\/(-56) + (-6)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1 - 4*u + u + 0*u - 2*u. What is the units digit of h(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (0 + -1) - -6. Suppose 0*a - 2*a = 0, g - y = -3*a. What is the first derivative of -2*h**4 - 2 - 1 + g wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(6) - (sqrt(6) - sqrt(216)\/sqrt(9))) + -2.\nAnswer: -2 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxnhxccxuuohh. What is prob of sequence nu?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -12. Suppose u*c = c. Does c = 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -5*n + 392. What is the least common multiple of n and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-7720404.\nAnswer: 3088161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-14) - 132\/(-336). Sort -5, g, -0.5 in ascending order.\nAnswer: -5, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 4*r + 2. Let o be y(4). Suppose 15 = -3*n, -3*k + 855 = 2*k - n. Suppose k*w + 10 = 175*w. Solve 0 = -s + 1, -s = q + w*s - o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12)*a\/a**(-2) assuming a is positive.\nAnswer: a**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 8:55 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 628 by 52781.\nAnswer: 628\/52781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*k + 196*k = 36 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.94 - -0.06. Let u be (-4)\/40 - 99\/(-90). Suppose 5*f - u - 4 = 0. What is the fourth smallest value in f, 1\/2, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*s**2 + 54*s**2 - 18*s**2 + (0 - 1 + 0)*(s**2 - s**2 - 2*s**2) in the form b*s + u*s**2 + x and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 7*h + 10. Let y be u(8). Differentiate 12*w**4 - 1 - y - 14*w**4 + 1 wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*h = -83, 4*i + 2*h + 116 = 6*h. Suppose -11*j + 237 = 721. Is (-34812)\/j - (-6)\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 0.531534?\nAnswer: 3.468466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by 321.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 14. Let b(p) = 3. Let w(k) = -5*b(k) + t(k). Let h(d) = 2*d - 2. Let c(x) = 2*x - 3. Let y(r) = -3*c(r) + 2*h(r). Calculate -6*w(v) - y(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 365899163 a multiple of 2209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus 17.4253?\nAnswer: 9.4253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-33)\/((-4752)\/1800)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1518093 + -762136. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*j - 124 = 0, -2*j + 36 = 5*l - 147. Calculate the remainder when (-10)\/l + (316\/28 - -1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 544 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.008746 * -0.1.\nAnswer: -0.0008746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/(-24) - (-2)\/(-3). Let b(o) = -o**4 - o**2 - o - 1. Let x(f) = -2*f**4 + 3*f**3 - 4*f**2 - 6*f - 3. Let n(z) = d*x(z) - 3*b(z). Factor n(q).\nAnswer: q*(q - 1)*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*w**2 - 52*w**2 + 10*w**2 - 15*w**2 to the form j*w**2 + q + l*w and give j.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w - 4 = 0. Is 3\/((-12)\/(-362))*w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89471 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -1b?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*(474 - (-2 + -2)). Let g = s - -133. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 37*v**2\/2 - 4. Let n = 19 + -6. What is the remainder when h(1) is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 o, and 1 z when three letters picked without replacement from {o: 11, c: 4, z: 4}?\nAnswer: 176\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**5\/5 - 3*k**4\/4 - k**3 - k**2\/2 - 3. Determine y so that w(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/3 + 7*d**2\/3 - 85*d\/3 - 91\/3 = 0.\nAnswer: -13, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -103541 or -103544?\nAnswer: -103541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Factor 6*a**5 - a**3 - 4*a**4 - a**3 + b*a**3.\nAnswer: 2*a**3*(a - 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1561, -881, 0.2 in ascending order.\nAnswer: -1561, -881, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-8 + -23 + 25) - (1 + -31 - -2)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor 11437924*s**2 - 9090816*s + 1806336.\nAnswer: 4*(1691*s - 672)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 7*v**2 + 2*v + 8. Let w be b(6). Let r = w + 32. What are the prime factors of (3 - 2)*r + -2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4521*d + 32*d**3 + 16*d**3 - 4522*d + 2*d**4 + 3 + 3 to the form z*d + o + c*d**2 + m*d**3 + v*d**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 580 and 1580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -132 + 301 + -110 + -6?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1169 - -1172. Let x(p) be the second derivative of 0 - 1\/20*p**5 + f*p + 1\/2*p**4 - p**3 - 3*p**2. Give x(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 775, 754, 731, 706?\n\"Answer: -j**2 - 18*j + 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/1)\/4 + 12. Let s(g) be the first derivative of g**4\/2 + 11*g**3\/3 - 9*g**2\/2 - 8*g + 69. Let x be s(-6). Which is greater: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*n + 29 = 0, 107*b - 104*b + 4*n + 7 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -401.311 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -634 - -634. Which is the closest to f? (a) -0.2 (b) -1\/2 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120540989753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*c - 16. Let r be c*(0 - (-2)\/8). Solve 5*l = 3*m - 8 - r, -5*m = l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + w. Give q(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w - 5*w - 5 + 0*w)*(-3*w + 0*w + 4*w).\nAnswer: 4*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 35) + (0 - 7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((1 - 0) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305568572.\nAnswer: 2, 41, 1863223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000457 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*(a*a*a*a**(-8))\/a))\/(a**(1\/9)\/a)*(a**(-1))**(-47) assuming a is positive.\nAnswer: a**(494\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9999374 millimeters?\nAnswer: 999.9374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 8. Let y be d(3). Let n(m) = -45*m - 2. Let t be n(y). Let s = 155 + t. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16740 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 19. Suppose -19*w + p = -24*w. Is w greater than -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-11 + 22) - (10 + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 4*k = -6. Let m(q) = 0 - q + 4 - 6*q + 6*q. Let g be m(k). Solve 3*l - 7 = -3*s + 2*l, -4*s - 2*l + g = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -6?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 1 + 16*q + q**2 + 33*q - 48*q as c*q**3 + r + y*q + w*q**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.809 + 0.809. Let i = 8 + -5. What is the closest to 4 in -2\/11, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*v - 231*v + 510*v + 2059*v.\nAnswer: 2249*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*z - 18 = 46 + 27 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(300) + sqrt(75) + 4.\nAnswer: 2 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvdlllnlnlbn. Give prob of picking 2 l and 1 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.46979 + 389.54021. Let q = m - 392. Let u = 0.01 - q. Which is the closest to u? (a) -3 (b) -0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1479, -3539, 32 in decreasing order.\nAnswer: 32, -1479, -3539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2071814?\nAnswer: 2, 389, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c**2*w - 609*c**2 + 7*c*w wrt w?\nAnswer: 4*c**2 + 7*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64231757.\nAnswer: 64231757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**3 - 5*c**2. Suppose 0*b = 3*b + 15. Let a(r) = r**3 - r**2. Let f be 2\/(-4) - 18\/(-4). Suppose 0 = -q + 5*q - f. What is b*a(i) + q*x(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -3)\/(3\/18*1). Let a(l) = 54*l. Let n(m) = -18*m. Let d(t) = 5*a(t) + 16*n(t). Is d(o) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -521?\nAnswer: -5\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*t - 14. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1 (b) -3\/8 (c) -4\/1417\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9605b0 (base 12) in base 3?\nAnswer: -11110010211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 137 = -2*q + 4*x, 3*x - 230 = -2*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*q + 1 + 178*q - 249*q - 586*q - 298*q.\nAnswer: -781*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 16*g**2 - 36*g - 217. Calculate q(-20).\nAnswer: -1097","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -16*b - 665. Let r be v(-40). Let j(l) = l**3 + 26*l**2 + 23*l - 50. Give j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50205 and 90369?\nAnswer: 451845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r + 40. Let i be a(9). Suppose -i*q - 18*q = -14520. Does 66 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*d - 1972*d - 8355 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 90 (b) 0.2 (c) 3 (d) -2 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9 = -3. Let h be -2 + 12 + -6 - 0. What is the third derivative of y*f**2 + f**2 + h*f**5 - f**2 - 2*f**5 wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -8 (b) 0.5 (c) -7878\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -26, -4190, -1, -9 in decreasing order.\nAnswer: 4, -1, -5, -9, -26, -4190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -352, -528?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -8. Calculate the remainder when t is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1065 and 36423?\nAnswer: 182115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 525.8848 - 526.1647971. Let s = 0.28 + i. Round s to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n - 28. What is the least common multiple of 11 and o(-7)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 143 = -a, -7950*a + 7945*a + 155 = 5*w. Suppose -2*k = -0 - 4. Suppose k*c = -c. Solve 0 = 5*h + 4*o + w, 5*h + 2*o + 24 = -c*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.16 (b) 56146 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3041315*k**3 + 11*k**2 + 29*k + 467 wrt k.\nAnswer: -18247890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) -0.2 (c) 2\/9 (d) -112 (e) -0.4 (f) 0.3 (g) 0.192\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeqqwqmqm. Give prob of picking 2 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1036293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*(-51)\/1904*1092\/(-7).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2321\/60 + -193\/5. Let d(c) be the first derivative of -3\/10*c**5 + 6 + x*c**6 + 0*c**2 + 0*c + 1\/4*c**4 + 0*c**3. Factor d(z).\nAnswer: z**3*(z - 2)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.964 + 36. Let q = 0.0488 - g. Round q to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.29 * -3.\nAnswer: 6.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 337 and 368186317.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -594037572 divided by 6?\nAnswer: -99006262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.7 + 0.7. Let r = 4 + -13. Let l = r + 14. Which is the second smallest value? (a) 3 (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -75622358 and -75622357 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 917422 = -3*j + 2*k, 0 = 2*j - 3*k - 611613. Let q = j + -159808. Round q to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2. Let j(w) = -828723*w**2. What is z(j(a))?\nAnswer: 686781810729*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1601*j**2 - j**3 - 404*j**2 - 394*j**2 - 403*j**2 + 2*j**4 - j - 34 - 402*j**2 to f + i*j**4 + q*j**2 + a*j**3 + x*j and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:37 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1024404km in micrometers?\nAnswer: 102440400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -17564823?\nAnswer: 17564820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -310238 rounded to the nearest 1000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**3\/3 + 5*y**2 + y + 1. Let n be f(10). Let h be -4*(n + 3 - 5). Solve 0 = 4*s - 3*s - h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 0*(-2)\/(-4). Let f(a) = 6*a - 3. Let l(j) be the second derivative of j**3\/3 - j**2\/2 + 7*j. Determine y*f(h) - 17*l(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 4*a - a + (0 + 0 + 3*a)*(4 - 4 - 7) - 6*a + 3*a + 5*a + (-5*a + 2*a - 4*a)*(-1 - 4 + 4).\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(-6*(sqrt(19) - sqrt(114)\/sqrt(6))*4 - ((sqrt(114)*4 + sqrt(114))*1)\/sqrt(6)))**2 + 2.\nAnswer: 60*sqrt(19) + 1911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 84 - 4. Let f = 4 + -1. Suppose f*c - 5*c = -76. What is the remainder when c is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, t: 8, u: 1, h: 2}. Give prob of sequence ltt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(10\/(-8))*31. Suppose -2*n = 4*k + 2*n - p, n + 21 = k. What is the highest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1232.41 and 362?\nAnswer: 446132.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22121001 (base 4) in base 5?\nAnswer: 2330221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1726, -4?\nAnswer: 1726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.5 - -16. Let f = -16.5 + 17. Let j = k + f. What is the third biggest value in j, 5, -0.06?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145991*x + 9 = -4*s - 145992*x, s - x = 19 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - 37. Let d = -37 + j. What is the greatest common factor of d and 160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/((-1674)\/36))\/(1\/(-3)*-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 34 + 2 = 0. Let o = 20 - t. Let n(j) = j**2 + 2*j + 2. Let s be n(-2). Solve s*v - o*v = -8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*4 + -1)*(-14 - (-1219)\/69)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 3488, -173.3?\nAnswer: -173.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570894871 to the power of 1\/2, to the nearest integer?\nAnswer: 39635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2566010 = 5*z - 5*o, 2*z + o = -o - 1026412. Let l = z + 1013204. Suppose -t - l = -6*t. What is t rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10668427*s**4 - 148350*s - 6 wrt s?\nAnswer: 128021124*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 f when four letters picked without replacement from {f: 1, v: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 913655192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*d**2 + 685*d**3 + 1664 - 1624 - 1717*d**3 - 1913*d**3 + 723*d**3 wrt d?\nAnswer: -13332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1006 by 9455.\nAnswer: 1006\/9455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 7*b**2 + 114*b - 850. Give x(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4 = -3*c, 3*c + 3*o - 1 + 7 = 0. Let w be (0 - (-15)\/(-20)) + 6\/6. Do c and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10887892225 and -1917.\nAnswer: 10887890308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1080, -5750, -13514, -24372?\nAnswer: -38324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w\/w**(-1))\/w)))\/((w\/w**14)\/w)*w**(-4)*(w\/(w*w*(w**(4\/5)*w*w)\/w*w))\/w assuming w is positive.\nAnswer: w**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 3*t + 11*g + 12, 18 = -t - 5*g. Which is the closest to -1? (a) 0.4 (b) t (c) 1\/5 (d) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/10 or 6?\nAnswer: 53\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - 12. Let i = w + 31. Solve 0 = -4*y + i - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -4. Let u(c) = -24*c - 740. Let r be u(-31). Let d be (2\/(-6))\/(2\/(-12)). Put y, d, r in descending order.\nAnswer: r, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 1744.42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54 - -1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(171) + 2)*-6.\nAnswer: -18*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 788 + -785. Suppose -2*u + 5 = 1. Suppose y - u = b, -5*y + 3 = -b + s*b. Calculate the highest common divisor of 4 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2643, 64, 4, 3, -7\/8?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**3 - 8023 - 8*w**3 + 18624 + 410 + 14078 as q*w**3 + p*w + s*w**2 + l and give l.\nAnswer: 25089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -20108 equal to -261405\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -222339 divided by -160?\nAnswer: 222339\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) + -4)) + -5)**2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 202804*s - 3853637.\nAnswer: (s - 202823)*(s + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knhznz. What is prob of sequence hnzz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4286*j**2*u**3*w - j**2*w + j*u**2*w + u**3 - 2*u*w + 915*w - 5 with respect to j.\nAnswer: 8572*j*u**3*w - 2*j*w + u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:51 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-1)))\/n**(4\/3))**(-48) assuming n is positive.\nAnswer: n**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 1. Let u(a) = 2*a**2 + 2*a + 3. Let h be (-16 - -12 - 261\/(-1))\/(-1). Let x = h - -255. Determine x*u(b) + 6*k(b).\nAnswer: 2*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4168392 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a hour?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000473556095 rounded to 6 decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/36 + 17\/(-306). Let h = 4.08 - 0.08. Sort -0.2, -3\/5, h, x.\nAnswer: -3\/5, -0.2, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*y**3 - 7*y**3 - 7*y**3 - 2*y**2 to o*y**3 + q + a*y + c*y**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -100066, 3\/4, -53 in ascending order.\nAnswer: -100066, -53, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 562881.4ng?\nAnswer: 0.0005628814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -12*t**4\/7 + 3009*t**3\/7 + 12945*t**2\/7 + 2184*t + 3060\/7 = 0.\nAnswer: -2, -1\/4, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 655710760*b - 122221079 wrt b?\nAnswer: 655710760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldslldsbddlddxs. What is prob of sequence ssl?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129 - -124. Let t be (-108)\/135*l\/2. Solve t*w + 3*w - 3*h = -15, -3*h = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-16 + 34 - 23) + 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 12:14 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 5, -2\/3, 0.04, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 755*q + 25030. Calculate y(32).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -47*c**6\/60 - c**4\/4 + c**3\/2 + 3*c**2. What is the second derivative of s(x) wrt x?\nAnswer: -564*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/6718 + 68854\/36949. Find the common denominator of o and -62\/5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8175541 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1112221000011 (base 3) to base 8\nAnswer: -3113620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 2. Let o be y(0). Sort 3, o, 12.\nAnswer: o, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.756 and 64285.\nAnswer: 64284.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -3040019?\nAnswer: 304001c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 29 = -109. Let u be (-33)\/(-15) - (-4)\/j. Solve -3*i - 1 = -5*p, 2 = -3*p - u*i - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -159. Let a = y - -63. Let v = -843\/5 - -168. What is the closest to v in -2\/3, -2, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*v + 28863531 = 28901186 for v.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 2.4421\nAnswer: -15.5579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -9, -2 in ascending order.\nAnswer: -9, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5 + 16 - 38*z - 50*z**5 - 10 + 17*z**5 wrt z.\nAnswer: -660*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*q - 2566 = 0, -q - 629 = -2*d + 404. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 294 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 143*c + 1276. What is f(-11)?\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/28*(-17 + (-1771)\/(-115)). Let 0*x - 2\/7*x**5 + 0 + 0*x**3 - d*x**4 + 0*x**2 = 0. Calculate x.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1\/8, 1\/2, -5 in increasing order.\nAnswer: -5, 1\/8, 1\/2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.26 (b) -7 (c) -15 (d) -2.58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/9)\/a)\/(a*a\/a**29) assuming a is positive.\nAnswer: a**(245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/33 (b) 4\/3 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130364219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/15)\/(-3 - (-99)\/30). Suppose -d*v = v - 10. Suppose v*f - 60 = -4*f. What is the highest common divisor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 435890000 to the nearest one million.\nAnswer: 436000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j - 6*j**2 + 0*j - 2 - 5*j to the form k*j**2 + u + r*j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-85)\/(-20) - (-2)\/(-8). Suppose r = d + 65, -g*r = 3*d - 372 + 98. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 22*p + 117. Let o be m(13). Let l(y) be the second derivative of 7*y + 1\/3*y**3 + o + 0*y**2. Let d(j) = -2*j**2. Determine l(d(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3 + t**2. Let h be b(-1). Suppose -8 = -2*w + h. Let m be (-22)\/(-6) + 2\/w. Solve -c = m*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**3 + 78720*w + 219206 wrt w.\nAnswer: -6*w**2 + 78720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 11:26 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -31. Let i = k + 10. Suppose -3*t + 15 = -9. Calculate the greatest common divisor of i and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233 + -1.2\nAnswer: 231.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397*b - 107*b + 47363561 = -143*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -19*o**4\/24 - 61*o**3\/6 - 2*o**2 + 1023. Calculate s(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101101001100 - -100?\nAnswer: -1001101101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3313.667ng in tonnes?\nAnswer: 0.000000000003313667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*sqrt(12)*-2)\/sqrt(6) + (sqrt(98) + 1)**2*-5).\nAnswer: 164*sqrt(2) + 990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1969*k*w**3 + 6*k*w**2 + 2*k*w - 1022*k + 19361*w**3 - w**2 + 59*w - 17 wrt w.\nAnswer: 11814*k + 116166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 8*s**2 - 6*s - 4. Let m be n(7). Suppose 3*c + 135 = m*g, g + 2*c = 6 + 27. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -40*u + 39*u - 0*i + 2*i + 33, 0 = -24*i - 768 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10730119 is divided by 507.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 13*h - 1. Let w be g(-13). Let f be 2 + 6 + w + -3 + -25. Let z = f - -21. Solve z = d + 3, r - 4*d - 15 = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2114*y**3 - 2*y**2 + 4*y - 7372?\nAnswer: 6342*y**2 - 4*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 18*j**5\/35 + j**4\/2 - 4*j**3\/21 + 5. Determine m so that z(m) = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 3*m - 6, 4*n + n - 9 = 2*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.456619 and -0.3.\nAnswer: 0.1369857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 3*d**3 + 0*d**3)*(-4*d + 3*d + 0*d) + (-3*d - 3*d + 4*d)*(-2*d**3 + 5*d**3 - d**3).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 76 - 11 - (1 - -5)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 - 2*k**4 + 2*k**4)*(-k - 5 + 2 + 4).\nAnswer: 3*k**5 - 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24383811.36 - -1763939552.64. Let x = m + -1788323344.99999966. Let y = x + -19. What is y rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -25*d - 47. Let l(j) = -7*j - 13. Let f(z) = 5*i(z) - 18*l(z). Suppose -c - 2 = -2*c. Let m be c\/6 + (-32)\/6. Give f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3732.155778 to one dp.\nAnswer: -3732.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -55, -0.166, -570\/11?\nAnswer: -0.166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 6. Let p(f) = -3*f + 13. Let u(m) = 2*p(m) + 5*t(m). Let d be u(-7). What is the third derivative of -4*a**4 + 0 + 2*a**4 + 0 - d*a**2 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2528410 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2\/9 + 284*k\/9 - 94\/3 = 0?\nAnswer: 1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 6, 83*s - 82*s = -v - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:18 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 4. Let h(r) = 9*r**2 - 5*r + 1. Let m(s) = 90*s**2 - 51*s + 9. Let f(g) = 21*h(g) - 2*m(g). Let o be f(0). Calculate a(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((50*s + 83*s - 55*s)*(-6 + 2 + 2) - s + 0*s - s)*(3 - 3 + 2).\nAnswer: -316*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*d**4*f*g + 3*d**3*f - 4*d**2*f + 36*d*f*g - d*f + f - g wrt d.\nAnswer: 504*d**2*f*g + 18*d*f - 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2577*i**3 + 27*i**2 + 21*i + 17. Let g(p) = 1933*p**3 - 21*p**2 - 16*p - 13. Calculate 9*g(v) + 7*j(v).\nAnswer: -642*v**3 + 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -59. Let y(z) = -7*z + 1. What is the least common multiple of y(-3) and (-1430)\/(-14) + u\/(-98)?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - l - 76. List the prime factors of i(11).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 7:56 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1656*j = 4483*j + 9147*j + 1421598 for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 49f3 (base 16) to base 15\nAnswer: 5921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - l. Suppose 3*t - 6 = 4*t. Let i(x) = -31*x**2 - 6*x. Let c(z) = t*k(z) + i(z). Let v(r) = -2*r**2. Determine c(v(a)).\nAnswer: -100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 1, d: 1, u: 2}. Give prob of sequence jiud.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 521 - 541 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*j - 3 - 16, -5*j = d + 1. Let h(a) = -2 + 6*a + a**3 - 3*a**2 - 2 + 0. Let o be h(d). Calculate the greatest common factor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -57*p**2\/2 - 100*p + 74. Differentiate b(m) wrt m.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8223426 is divided by 186?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10407 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 421433145 by 11390085.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 2*z + 4\/3*z**3 - 3 - 1\/4*z**4 + 0*z**2. Determine l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(((-99)\/(-36))\/(-11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + k = 269114 - 268994, -k - 348 = 3*l for l.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/4 - 66*m**3 + 2178*m**2 - 31944*m + 175692.\nAnswer: 3*(m - 22)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27791 - -6516?\nAnswer: -21275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 6*j**2 + 4*j - 1. What is m(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.24 + 0.1. Let z = 0.06 - u. Which is the smallest value? (a) z (b) 3\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 19, 11.4.\nAnswer: -3\/4, 11.4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*d + 8 = -5*k, -12 = -d + k. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Suppose 3*m = 4*d - 2, -4*d - 5 = 2*m - 17. Suppose r - d = 1. Suppose r*v + 12 = 7*v. What is z(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17980 and 5394.\nAnswer: 53940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 609079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**5\/60 + 38*k**2. Let j(d) = -4*d**2 + 2*d**2 + 6*d**2. Calculate j(f(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15210)\/(-490) + -32 + (-42282)\/(-1323).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aohhorahararo. Give prob of sequence haha.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -0.1. Let o = -9 - -9.4. What is the second smallest value in o, q, -4\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 48 = 40. Let y be -302 + 1 + -1 - 1. What is the common denominator of l and -3 - 2*y\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -10. Let v(l) = -158*l + 1. Is v(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 8*n**2 + 6. Give h(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 4:57 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 509 (b) 5 (c) 0.3 (d) -4 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 524*b*h**2 + 225*b*h wrt h.\nAnswer: 1048*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3125755 rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33557 - 4328749\/129. Let i = 6\/43 - v. Let w(j) = -j - 9. Let h be w(-9). Put -2\/5, i, h in descending order.\nAnswer: h, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21101.701122664 + 20.858931336. Let t = -21153.56 + b. Let h = 31 + t. What is h rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1967419714, -1967419713, -1967419712, -1967419711, -1967419710?\nAnswer: -1967419709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 156421487 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 2\/11 (c) 1.6 (d) -0.3 (e) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 19 - 6 - 10 + 18*w. Let t be (-3)\/15 + 170\/(-25). Let g(y) = 8*y + 2. What is t*g(b) + 4*o(b)?\nAnswer: 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 4*u**2 + 33*u + 21. Let d be t(-10). Is d - 5\/((-5)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Calculate the common denominator of -35\/2 and 95\/8 + (-1 - y).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**7\/126 - x**6\/90 - x**5\/30 + x**4\/18 + x**3\/18 - x**2\/6 + 8*x. Factor i(a).\nAnswer: (a - 1)**3*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.64 - -0.34. What is the nearest to 1\/4 in m, 1\/4, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(931) - 4*(sqrt(931) + sqrt(931) + sqrt(931)*2) - (5 + sqrt(931)*-2)))**2 - (sqrt(931)*3 + 2 - 1*(-2 + sqrt(931) - sqrt(931))**2).\nAnswer: 14539*sqrt(19) + 2517826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/5, 2, -0.04, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 12*m**2 - m - 9. Let u be t(-12). Suppose 0*c = -u*c + 24. What is the remainder when 15 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u + 21*u + 5*l = 23, 4*l = -5*u - 23 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.67, -5, 2, 5?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1121, -2\/17.\nAnswer: -1121, -2\/3, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -10, -36, -72, -118, -174?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10821426 divided by -9086\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 114963 + -5*(-6)\/(-10). What is t rounded to the nearest one thousand?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/47 and -36\/2491.\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 + 20*t.\nAnswer: -2*t*(t - 50)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -141 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*b + 44*b - 52*b**4 - 5*b**4 - 4*b**4 + 26*b**4 + (4*b - b - 4*b)*(4*b**3 - b**3 - b**3).\nAnswer: -37*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -877*t + 863*t + 2915*t in the form h + p*t and give p.\nAnswer: 2901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, a: 3, u: 2, l: 1, h: 1}. Give prob of sequence tuuh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q + 2. Let a(v) = -4*v + 2*v - 4*v - 3. Let t(y) = 47*y**2 - 6 - 81*y**2 + 5*y + y**3 + 42*y**2. Let o be t(-7). Determine o*m(u) + 5*a(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w - 1160 = -h - 26*w, 0 = -4*h + 2*w + 4620. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 (base 16) in base 4?\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i - 415 - 192 = 199. Let q(l) = l**2 - 8*l + 9. Let b be q(6). Sort i, 5, b in decreasing order.\nAnswer: 5, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8159104ml to litres.\nAnswer: 0.0008159104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 11 - 251. Let c = y + 235. Suppose 8*m - c = -0*m. Solve 4*n + 2*a = -5 - m, -2*n + 5*a - 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/(-2)*(-95)\/(4560\/24576). Calculate the highest common divisor of 144 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u\/u**4))\/u*u))\/u*u**(2\/3)*u)\/(u**(-1\/4))**(-8) assuming u is positive.\nAnswer: u**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = -167. Suppose 9*u - c = 157. Calculate the highest common factor of 90 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.038 * 0.07\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01507 to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115.72 minutes in seconds?\nAnswer: 66943.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1012.\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 smaller than -83984\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -7. What is the units digit of c\/(-1 - (-4)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 7*r - 5*r**4 - r**2 + 3*r**4 - 81*r - 5*r in the form p*r**3 + g*r**4 + o*r + f*r**2 + v and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.76 times 214\nAnswer: -376.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1. Let j(g) = 5*g**3 + g**2 - 2*g + 16. Give j(s) + 7*z(s).\nAnswer: 5*s**3 + s**2 - 2*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-208*h + 90*h - 147*h)*(-4 + 4 + h)*(-3 - 1 + 6) to j*h**2 + g*h + k and give j.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.88 + 0.88. Let l = -37 - h. Which is greater: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 31. Suppose -4*n - 18 = 38. Let a = k + n. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 5. Let u(a) = a**2 - 1. Suppose -4*z = p + 14, -2*p - 11 + 7 = 2*z. Let n be 2*-5*(p - 6\/4). What is n*u(b) - f(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/63)\/(472\/(-413)). Let v = -4.23 - -0.23. What is the nearest to 2 in 0.5, -5, v, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635435.\nAnswer: 3, 5, 36343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0 (c) -0.4 (d) -1\/4 (e) -2\/2779 (f) 121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 0, 0*j + 2*j = -3*p - 90. Let h = -144 - p. Let l = h - -114. Solve l = 2*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -41. Let n = 81 - d. Let h = n - 18. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15736739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nannanaanannnaaunnu. What is prob of sequence uua?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15612 + -33c?\nAnswer: -15950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = -g + 2*g. Suppose g = -5*q - 1077. Let m be (q\/(-70) - 4)*40. Is m smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 20*h**2 + 14*h + 19. Let p be c(-19). Let t = p - 70. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2987 and 103.\nAnswer: 2987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 0*l**4 - 4*l**2 - 4\/3*l**3 + 0*l**5 + 0 - 13\/105*l**7 + 0*l + 0*l**6. Find the first derivative of j(u) wrt u.\nAnswer: -104*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**2 + 2*m + 2*m - 4*m.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 274489463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68058, -68072, -68086, -68100?\n\"Answer: -14*w - 68044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 2*f**2 + 9. Let s(z) = z**2 - 4. Calculate 9*s(n) + 4*v(n).\nAnswer: 4*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38586723 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: Let l(g) = 10 - 10 + g**2 - 3*g**2. Let x = 651 + -57. Let q(y) = 13*y**2 - 594*y + x*y - 2*y**2. Calculate l(q(s)).\nAnswer: -242*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -104239, -104234, -104231, -104230, -104231?\n\"Answer: -n**2 + 8*n - 104246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-118)\/(-12))\/(28\/4). Let d = g + 2\/21. Which is the smallest value? (a) d (b) -3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 - -32. Let a = z - -131. Suppose 2*x + v + a = 6*x, -3*x = -2*v - 63. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 917.129 + -867.17. Let f = -0.041 - l. Let j = -49.9954 - f. What is j rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9\/27 + 394\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/((-8149)\/(-261) - 29).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(114)*-2 - sqrt(114)))\/sqrt(600).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15039 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 142193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 13*v - 3. Let i be 4\/(5\/5) - 3*3. Let k(o) = -42*o + 10. Let r(p) = i*k(p) - 16*w(p). What is r(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-25)\/4)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -5*s**8\/48 + 22*s**7\/21 - 19*s**6\/24 - 83*s**5\/6 - 40*s**4\/3 + 80*s**3\/3 - 134*s**2 + 1. Find p such that n(p) = 0.\nAnswer: -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 18\/12)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 - (-1 + (1 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from nfnncaannnfnnafnnnf.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 269505801?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(-5)\/(100\/(-8)). Suppose p*t = 5*y + 144 - 42, 4*t + 2*y - 180 = 0. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4575.546 milliseconds to nanoseconds.\nAnswer: 4575546000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 10*k + 4. Let h be w(9). Let l = 2 - 7. Let o = h + l. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(153) + 5)**2 - ((3*sqrt(17) + -5)**2 + sqrt(17) - sqrt(51)\/sqrt(12)).\nAnswer: -sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20525744 divided by 6.\nAnswer: -10262872\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -44 - 36. Calculate the greatest common divisor of r and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - h**5 + 4*h)*(1 - 3 + 0)*(5 - 1 - 2).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 greater than or equal to 11.557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 127*s**2 - 8*s + 123. Let h be p(5). Calculate the highest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 8) in base 9?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/15 + 10\/(-3). Suppose 4*o = a + 6, 3*a = -0*a - 5*o + 16. Let z = -10 - -10. Put b, a, z in descending order.\nAnswer: a, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*n - 15, -2*n + 12 = 5*r - 6*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12819229 = 87*v - 66199465 - 18190749. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33\/5? (a) 2\/3 (b) 5 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (105\/(-175) - 0) + (-27658)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 1331.\nAnswer: -1330.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 225091824 divided by -3?\nAnswer: -75030608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12 = 3*o. Suppose 2*y + o*x = -0*y + 28, -4*y = 5*x - 52. Suppose -12 = 4*c + y. Let p(q) = 2*q**2 + 6*q - 7. What is p(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4610820.\nAnswer: 2, 3, 5, 76847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b - 12 = -247. Suppose -7*k + 3*g + 2831 = -3*k, -3531 = -b*k - 4*g. List the prime factors of k.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*y = 2*j + 82*y - 20, -4*j - 3*y + 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2917.93 - -2918. Are p and 10\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97588\/7 + -13918. Let g = 901\/35 - v. Factor 4\/5*q**4 - 7\/5*q + 1\/5 + 3*q**2 - g*q**3.\nAnswer: (q - 1)**3*(4*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 236*i**3*u - 381146*i**3 - 2934*i*u - 5 with respect to u.\nAnswer: 236*i**3 - 2934*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 - -97.93. Let f = n + 0.07. Which is smaller: 2\/9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**4\/4 + 8*b**3\/3 - 5*b**2 + 2*b - 21. Give u(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26\/(-702)*-6 - 1364\/(-18) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8520891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, z: 3}. What is prob of picking 1 m and 3 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - 4*2\/(-4). Sort 5, i, -5 in ascending order.\nAnswer: -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 134 or 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70897155 is divided by 1415.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.494 + 46.906. Let h = q - -10.6. Let k = h + -70.7. What is k rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-130)\/10)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + -37?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*b + 4*f - 74, 12 = 3*f. Let d = -14 - b. Solve -2*c + a - 3 = 2, d = -4*c - a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0648313 to 4 decimal places.\nAnswer: 0.0648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1762035 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 (base 10) in base 7?\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/2)\/(3\/93). Let r = 6 + d. Suppose w = 2*z + 12 + 1, -4*w + r = -5*z. Solve -2*j = -0*x + w*x - 5, -4*j + 4*x - 40 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141 + 144. Let j(d) = 6*d**3 - 1 - 4*d**2 + 0*d**3 + 0*d**l - 7*d**3 + 5*d. Give j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-280)\/(260\/30 - 9). Is -2\/5 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2394)\/1995)\/(3\/15))\/51.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4585032748 to the power of 1\/3, to the nearest integer?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from aabbbaaaabaaaaaaba?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-352)\/220*(-5)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**8\/1680 + y**6\/90 - 7*y**3\/6 + y**2. Let u(k) be the first derivative of a(k). Find the third derivative of u(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-2)\/2)*1. Let c = -15 - -11. Calculate the lowest common multiple of 6 and -9*i\/(-8)*c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 - -134. Suppose -408 = 59*j - 67*j. What is the greatest common divisor of j and a?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -40*o**2 - 16*o + 16. Let b(d) = 13*d**2 + 5*d - 5. Let j(z) = 16*b(z) + 5*r(z). Let p(i) = -i. Determine p(j(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0, -1, 137 in ascending order.\nAnswer: -16, -1, 0, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6*r - 17. Give y(10).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 570097*m**2 - 5*m - 10. Let q be y(-21). Suppose q - 79152872 = 27*s. Round s to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - d - 68 = -0*x, 4*x - 56 = 4*d. Calculate the remainder when 6\/(-8)*(2 - 94) is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*81\/45)\/(8\/(160\/(-6))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**4\/2 + 93*c**3\/4 - 195*c**2\/2 + 321*c\/4 + 135\/2 = 0.\nAnswer: -1\/2, 2, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**3 - 6*n**2 - 9*n - 5. Calculate g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (45\/18)\/((-2)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5673 + 44595. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -995 divided by -199\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 1146465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 24\/11, 4, 410 in descending order.\nAnswer: 410, 8, 4, 24\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461778637?\nAnswer: 11, 53, 2507339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 7 - 10 = -3*g, 0 = 4*g + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -485*w - 2155 - 755*w + 2155 in the form c*w + q and give c.\nAnswer: -1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -188.87815 + -0.22185. Does 0.2 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkloyoo. Give prob of picking 1 o and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848101256.\nAnswer: 2, 106012657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1296))\/(-1*sqrt(8)*1) - -2*(-4 + sqrt(98) + 2).\nAnswer: -4 + 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 385283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 2*x = -5*l - 23, -x = -1. Suppose s + 4*c = -0*c + 81, -l*c = -s + 108. Is s a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 3*f**2 - 5*f. Let p = 639 + -636. Let k(b) = 0*b**p - 30*b**2 + 14*b**2 + 13*b**2 + 11*b + 10*b**2 - 5*b**3. What is -4*k(q) - 9*r(q)?\nAnswer: 2*q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/12*((-36)\/15)\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -0.4, -5, 15, 10, -5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 400520 in -69, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 193446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17456 and 14?\nAnswer: 122192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7055, -14207, -21371, -28553, -35759, -42995, -50267?\nAnswer: -57581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2280\/(-969))\/((-48)\/136) + (-9 - -1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*i - 43*i + 78*i - i**4 - i**2 - 5 + 3*i**3 to the form m*i + v*i**2 + c + h*i**4 + u*i**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.3 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 1\/4, -3.302, 0.6, -1, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**1)\/f**(-1\/16))\/(f**(-7)\/f*f**10))**(-14\/3) assuming f is positive.\nAnswer: f**(-7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 210 + -3.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 7*q + 30 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + ((-106 - -101) + -25 + 1 - -21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -50*m**6\/3 - 61*m**2\/2 - 8. What is the second derivative of x(g) wrt g?\nAnswer: -2000*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 + 6*l**2 - 4*l - 6. Let a be m(-3). Put -4, 0, a in descending order.\nAnswer: a, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3643069992?\nAnswer: 2, 3, 151794583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89913937 to the power of 1\/2, to the nearest integer?\nAnswer: 9482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 390.4 - 76.4. Let a = -312.886 + k. Round a to 2 dps.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*o - 21*o - 18*o - 16*o as q*o + j and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168800 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7440842?\nAnswer: 2, 3720421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2 - (-4 - -12). Let w = k - -14. Differentiate -w*i - 1 - 1 - i + 0 wrt i.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*w + 4*u, 3*w - 4*u - 43 = -12. Let s(c) = -c**2 + 6*c - 4. Calculate s(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h - 9 = -9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 153303435 + 0.4.\nAnswer: 153303435.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130931?\nAnswer: 311, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -52 - 31 - -8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.14 - -17. Let x = k + 1.14. Which is the nearest to 2? (a) x (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*l = 124*l + 40 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-1178))\/((-17)\/51)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vszzzuszuuuuussmm. Give prob of picking 1 v, 1 m, and 1 z.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -20*n - 35. Let k(t) = 11*t + 17. Let c(i) = 5*k(i) + 2*y(i). Let p be c(-1). Solve 0 = -d + 5*h - 6*h, p = d + 2*h + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14077*a + 32*a**2 - 2 - 30*a**2 - 14080*a + 4*a**3 as r*a**3 + g*a + f + t*a**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39016201 divided by 25?\nAnswer: 39016201\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 97 = -2*r + 21, 3*r + 2*c - 193 = 0. Suppose 0 = 4*g - r - 29. Let i(l) = -20*l. Let y be i(-3). What is the greatest common factor of y and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unuuunybbnnbnvb. Give prob of sequence ybu.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/(64\/(-448)).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34563 <= 34240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 271*g**2 - 940*g - 1819. Calculate b(-132).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 3. Let v = -22 + 40. Suppose 5*a - v = 7. Suppose -n - 6 = -4*k, a*k = 2*n + 14 - 2. Calculate o(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 21*h**2 + 2*h. Let f(r) = 34*r**2 - r - 35*r**2 - 2*r + 3*r. What is f(v(t))?\nAnswer: -441*t**4 - 84*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 5:01 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from oozogzoozzz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198615 by 66205.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*q - q = 2, -3*q - 16 = -2*n. Suppose 5*k - 5*g = 3*k - 1, n*g = -k + 4. What is the remainder when 61 is divided by 18 - (k + 4)\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3010233 (base 4) to base 13.\nAnswer: 5967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, r: 4, k: 3}. What is prob of picking 3 h and 1 r?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 2*g - 5, b + 5*g + 626 = 646 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5966600, -5966594, -5966588?\n\"Answer: 6*f - 5966606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 131*r**2 + 21. Let s be g(-3). Let h = -546 + s. Is h a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2321*k**2 + 190278*k - 190278*k to the form g*k + u*k**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -12*z - 6117. Let w(r) = 5*r + 3059. Calculate 3*p(n) + 7*w(n).\nAnswer: -n + 3062","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33993483 is divided by 1180.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.541877nm in micrometers?\nAnswer: 0.003541877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -13, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, -8, 2\/5, 93, 513, 5?\nAnswer: 513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/4, 7\/3, 1 in decreasing order.\nAnswer: 7\/3, 1, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42308090895 plus 0.2?\nAnswer: 42308090895.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.04052 centuries in decades?\nAnswer: 400.4052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1531 + 1537. Which is the second biggest value? (a) 1 (b) s (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -216017 not equal to 2\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-48)*8816\/(-58).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345 by 345.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*f + 3*w, 0 = -2*f - 4*w - 0*w + 16. Let d = 459728\/7 - 65903. Let i = 228 + d. Which is the closest to 1? (a) i (b) -4\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 445*d**4\/6 + d**3\/2 - 2*d**2 - 20*d. Let y be m(1). Suppose 0 = -0*l + 7*l - y. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.8 less than -0.04171349?\nAnswer: 6.75828651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) 5 (c) -6\/5 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2*p)**(-10)\/(p\/p**30*p*p\/(p*p*p**(8\/9))*p) assuming p is positive.\nAnswer: p**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7598.\nAnswer: 2, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 1 = c. Let f(j) = j - 10. Let u be f(c). Suppose 0 = 6*g - 5*g - u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338840399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -9*m - 11. Let q be (4\/2 - 1)*m. Let g(u) = -2420001*u**3 + 4*u + 3. Let s be g(q). Round s to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/9 (b) 0.4 (c) 5 (d) 14.5531 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (82\/4)\/((-53)\/(-424)). Calculate the greatest common divisor of 41 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4 - 8. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-2\/9)\/q)*q*q**(-2\/19)*q**4\/(q\/q**(-1\/3)))**(10\/7) assuming q is positive.\nAnswer: q**(8180\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122 divided by -51?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 10:43 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167 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 3203 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -222?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -198258, -198259, -198260?\n\"Answer: -f - 198257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 2. Suppose 0*l = -5*l + 30. Suppose -l*w + z*y = -w - 240, -w + 2*y + 44 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98584*d**2*m**3 - 1431*d**2 + 4*m**2 - 2 wrt m.\nAnswer: -591504*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 2855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 204?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13687295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2 - 3*s + 1. Let q be g(-3). Let t = -15 - q. Calculate the remainder when t is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132656 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6*z - 298710 + 298716 = 0, -5*c = -z - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5*q + 15, -16 = 27*q - 30*q + 2*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 - 6*b**3 - 9*b**3 + 13*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2375891, -4751771, -7127651, -9503531?\n\"Answer: -2375880*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 15) in base 14?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79390228 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -26*i**3 + 33*i**2 + 24*i + 25. Calculate the remainder when p(-7) is divided by 189.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 10*z**2 - 9*z - 12. Let i be t(11). Let q = i - 11. Put q, 0, 3 in decreasing order.\nAnswer: 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2))\/m**(2\/5)*(m\/(m\/(m\/(m\/(m*m*m**0)))))**(1\/26)*(m**(-2)\/(m**5\/m))\/((m**3*m)\/m**(-2)) assuming m is positive.\nAnswer: m**(-606\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 4*m**3\/3 - m**2\/2 + m. Let p be o(5). Suppose 23 = -2*g + p. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q. Let i(j) = j + 3. What is i(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0059752094 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + -4 + 2 + 0. What is the highest common factor of v and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 x, and 1 k when three letters picked without replacement from xuauxuuuxkalxuku?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49069986 by -16356662.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958810.\nAnswer: 2, 5, 95881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9996 and 14484?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 + -10)\/(3\/(-20970)). Round l to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 2. Is 11 a factor of l(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15723 + 25724. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from hlhhllrhlhlll?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*s + 25. Suppose 0 = u - s*z - 30, 5*u + 0*z = -5*z. Solve 4*o - u = 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37030068\/102739 - 3\/102739. Let g = w + 361. Let z be (4 + -4)\/(0 + 2). Does z = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-4))\/(-3)*(-6)\/36.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -18*m + 4. Suppose 0 = -5*o - 4*l + 5*l + 14, 3*o + 2 = -2*l. Calculate the smallest common multiple of o and i(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-426)\/(-36))\/(2\/(-4)) and -35\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -11.5. Let j = 0.2 + -0.2. Which is bigger: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.007 + -29.007. Sort -5, 3, v.\nAnswer: v, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -555 + 8510. Suppose -4*x + x + 2*z = -y, z + 2651 = x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2299)*-1 + sqrt(2299))**2 + (sqrt(2299)*-1 - sqrt(2299) - sqrt(2299))**2*-5.\nAnswer: -103446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 39*x + 5. Determine d(-7).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 10) to base 12.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 8baf?\nAnswer: -8baf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by ((-72)\/(-12 + -6))\/((12\/16)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5639 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13466 - 936 = 35*l. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 1860*b**2 - 29568*b - 118016.\nAnswer: -(b + 8)**2*(b + 1844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 2*w, 1 = 2*b - w - 0. Let h be b\/4 + (-35)\/28. Let d(a) = 1. Let u(q) = -q**2 - 5. Let n = -3 + 0. Calculate h*u(s) + n*d(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 662 divided by 331.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -36. Let a be 33 - (2 + -2)\/(-4). Let v be 6\/4 - a\/22. Solve v = -l*i + 6 - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*b**2 - 7*b - 2*b - 13 + 6*b + 5*b.\nAnswer: 29*b**2 + 2*b - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137161 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -m - 5*g - 0, 25 = 5*g. Solve m*v + 5*v + 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*a + 776*a + 228*a.\nAnswer: 656*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**2 + 412*k + 724. Let j be h(-44). Solve -j*b - 311 = -391 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -331807 or -5640712\/17?\nAnswer: -331807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/20 + j**4 + j**3\/3 + 29*j**2\/2 + 3*j - 1. Let r be g(-12). Sort r, 0, 90 in ascending order.\nAnswer: 0, r, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4)*1 - (sqrt(20) - -4*(-5 + sqrt(20))) - (4*(sqrt(80) - (1*sqrt(80) - sqrt(80))))\/(sqrt(16)*2))**2.\nAnswer: -400*sqrt(5) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 3*t**2 + t. Let g(w) = -5*w**3 - 13*w**2 - 4*w. Let q(f) = 2*g(f) + 9*y(f). Let z(j) = -2*j**3 + 4*j**2 + 2*j - 1. What is 4*q(b) - z(b)?\nAnswer: -2*b**3 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/((-30)\/(-4)))\/(2948\/13266))\/((-6)\/16)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6895*-5.\nAnswer: 34475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6)*-4)\/((-7)\/3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 301533332?\nAnswer: -301533325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183 - 1643\/9. Which is greater: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/4)\/((-1)\/(-12)). Solve 0 = -4*c + 2*q + q - 5, 0 = -c + 4*q + t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-24)*(-4)\/20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 48 - 11*v**2 + 375*v - 374*v in the form w + d*v + m*v**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26953710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -0.2266, 5, -124?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12311 (base 12) to base 11\nAnswer: -17568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35126172 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 - ((3 - 5) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 3:40 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 11:38 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-152 + 242 - (7 + -4))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 681521, 681519, 681517, 681515?\n\"Answer: -2*b + 681523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 320 - 185. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2\/(3\/((-78)\/4)). Let b be ((-4)\/10)\/(y\/(-390)). Suppose 0*k + 0*k - b*k = 0. Solve 5*p - 4*p = k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 529*j**6\/6 + 571*j**3\/3 - j - 1066. Find the third derivative of p(t) wrt t.\nAnswer: 31740*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1539, 1537, 1535?\nAnswer: 1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in -0.009, -1\/2, -5, -0.1, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -33, 4\/7, -79, 2\/3, -0.1, -1\/5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81576633 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425654423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let a be (-94 - -2)*u\/(-4). Let x = -24 + a. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -26. Let v(b) = b**2 - 4*b - 1. Let f be v(p). Let g = -208 - -2290\/11. Is g less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**2 + 2*r**3 - 5*r**2 + (2 - 2 - r)*((-r - r + 4*r)*(r + 2*r - r) + 16*r - 16*r + 3*r**2).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**13)\/(w*w*w**(-1\/34)*w) assuming w is positive.\nAnswer: w**(-509\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269585736 divided by 906.\nAnswer: -297556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, x: 3, o: 1, p: 4, h: 1}. What is prob of sequence xxpf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkikikkkuukiiukukkk. Give prob of picking 2 u and 2 i.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/35062 and -23\/44?\nAnswer: 771364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -176.6 - 0.4. Let k = s + 182. Which is the closest to 0.1? (a) 0.16 (b) k (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 6042?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5820)\/(-14))\/(-1)*840\/(-90)?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 22 = 4*z, -2*s = 4*z + 2*s - 36. Suppose -48 = -z*u + 3*u. Let c be ((-2)\/6)\/((-4)\/24). Solve 5*h - u = c*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (20060\/(-12) + 8 + -5)\/(2\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 286.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*v - 200 = 0, 5*u + 4*v + v = 280. Let b = -103 - -208. Calculate the greatest common divisor of b and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 546255475 and -4.\nAnswer: 546255471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.186 (b) 0.125 (c) 0 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 3*v + 4. Let o be -2 - (0 + 6)*-1. Let m be r(o). Solve -m = 3*k + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 171247234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o - 293 - 301 - 165 + 152 + 3*o to the form q*o + i and give i.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + w - 5. Let b be t(0). Let l be (-2 - (-368)\/224)*-14. Put b, -4, l in ascending order.\nAnswer: b, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -6*y - 5. Suppose -20 = -4*o + 12. Solve 0 = 2*z - 8, 3*l - 2*z = -y*l - o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1063830 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2378543 is divided by 10041?\nAnswer: 8867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v + 25 - 148 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a - 11 = 75*a + 4*y, -4*a = -3*y - 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38345.8657 - 38348. What is a rounded to 2 dps?\nAnswer: -2.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -12. Let b = -56 - -36. Let w be (-2228)\/b - (-3)\/5. What is the highest common factor of f and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*j - 12. Let p be 2\/10 + 28\/j. Solve 8 = p*z - z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 14796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 + 5*t - 1. Let b(m) = m**2 - m. Let x(u) = 5*b(u) + r(u). Suppose 527*w - 312 - 742 = 0. Let a(h) = h**2 + 3*h - 2. What is w*x(n) - a(n)?\nAnswer: n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 + -3.29. Let r = o + 3.19. Which is the third smallest value? (a) 4\/3 (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 4 = -20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 + 23*o - 52. Let i be z(7). Let x be 4\/(-6) - 35\/(-3). What is the greatest common factor of i and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*g = -45. Let z be (-3)\/g*(2 + -2). Let x(f) = -3*f + z*f**2 + 4 - 1 - 1 - f**2. Give x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 736 (base 16) to base 5\nAnswer: 24341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = -9. Suppose 2*x - v*x + 4 = 0. Let p(n) = -n**3 + 4*n**2 + 4*n + 3. Calculate the remainder when p(x) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2))\/(29 + -28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 15) to base 9.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 5*g**2 + 2*g - 9. Let f be y(5). What is the hundreds digit of (f + 566\/(-10))\/(3\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 200 - 200.81. Let z = -1.19 + i. Which is the closest to z? (a) 2\/3 (b) 0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 9, -3.\nAnswer: -3, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 130. Let z be p(35). Let g be (-14)\/(-3) + z\/36. Factor 0*d - 4\/11*d**2 + 0 + 2\/11*d**g.\nAnswer: 2*d**2*(d - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110101010001011101001 (base 2) to base 15.\nAnswer: 50d913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 28 = -20. Let z(a) = 3*a**3 + 8*a + 4. Let i(y) = 5*y**3 + 12*y + 6. Let s(u) = d*z(u) + 5*i(u). Find the first derivative of s(w) wrt w.\nAnswer: 3*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 80?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = y + 14 - 3, -3*z = -y - 7. Suppose 15 = 3*d, 0 = 5*w + d - 5*d + 10. Suppose w*o = o + z. Solve 0 = -0*a + 4*a + o*g + 32, -19 = -2*a + 5*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9408 divided by 588.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1706 (base 15) to base 14\nAnswer: -1b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361, -371, -385, -403, -425, -451?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614072.\nAnswer: 2, 59, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 - 95*a**2 - 6*a - 204. Calculate l(32).\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*w - 15 = 0, -149*w + 146*w + 27 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2510*v**4 + 14*v**2 - 32*v + 4. Let i(q) = -2508*q**4 + 14*q**2 - 24*q + 3. Let l(j) = -4*i(j) + 3*k(j). What is the third derivative of l(t) wrt t?\nAnswer: 60048*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z = 2*w - 9, w + 2*z = -3. Suppose 36 + 90 = w*d. Suppose 4*o - u = d, 4*o + u + u - 48 = 0. What is the remainder when 64 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 + 80.0131. What is l rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*15\/(-5)*(13\/3)\/(112\/336)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*k = -0*k + 1860, 2*d - 1240 = -k. Suppose 2*r + 114 = d. Calculate the highest common factor of r and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*h - 56 = 0, -7 = 3*h + 5. Suppose -j - 3 = 0, -5*y + 0*j = 2*j - 229. What is the remainder when y is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 m when four letters picked without replacement from lmmmmmlmmlmmmmm?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1438 - 1433. Let j = 73 + -102. Let f = j - -7. Which is the second smallest value? (a) 4 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 111 = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1175 and -3\/3158165.\nAnswer: 15790825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2531 - 3785. Let n = 2529 - p. Let l = -41666\/11 + n. Calculate the common denominator of -19\/8 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -158*o + 157*o - 77. What is the nearest to 0 in o, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 135 from -5836358.\nAnswer: -5836493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*u - 3 - 3 = 0, 2*r = 4*u - 54. Let a = r - -8. What is the units digit of -1 - (31 + -3)*a\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6529 by 192.\nAnswer: 6529\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*l - 6765 + 8425 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.485 + 616.315. What is s rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251 (base 8) to base 11\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -380143498 - 144011\nAnswer: -380287509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjd when three letters picked without replacement from dddddjdjjjjdddjddhjd.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**6\/6 - 6*t**2 + 14. What is the second derivative of h(k) wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.233 to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2743*a. Let o(b) = -2*b - 63. Give t(o(z)).\nAnswer: -5486*z - 172809","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.82+0.1848032\nAnswer: -0.6351968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 135, 145, 157, 171, 187?\n\"Answer: o**2 + 7*o + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 342, 4, -49 in descending order.\nAnswer: 342, 4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -128114, -254956, -381798?\n\"Answer: -126842*t - 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 - -10) - -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ocooocoooccccoccco?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -21*d - 448. Let i be j(-22). Solve -o - 19 = -i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/126 - 480\/(-252) - (7 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-14)*(-6)\/1. Suppose -14*y + 17*y - q = 0. Suppose -5*l - t = 3*t - 26, y*l - 4*t = 16. What is the smallest common multiple of 40 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/189 and 41\/14.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from cnvczckevzek.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (180\/135)\/(2\/6). Suppose 16 = 5*y - 14. Suppose -4*t + y*m = 4*m - 2, 5 = 3*t + 2*m. Solve -n*d = t + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 278297, 556555, 834803, 1113035, 1391245, 1669427, 1947575, 2225683?\n\"Answer: -o**3 + o**2 + 278262*o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-1)\/(-9))\/(3\/(-2))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72 times 10485984?\nAnswer: -7549908.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -13*v**5 + 3*v**3 + 6*v**2 - 247*v + 1. Let k(s) = s**5 - s**3 - 2*s**2 + s. Let p(t) = a(t) + 3*k(t). What is the second derivative of p(y) wrt y?\nAnswer: -200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47285, -186161, -417621, -741665?\nAnswer: -1158293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1238, 9841, 33178, 78617, 153526, 265273, 421226?\nAnswer: 628753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20\/84*7*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*a + 99*a + 27 = 0. Suppose a*q - 27*q + 18 = 0. Put q, 3, 5, -5 in decreasing order.\nAnswer: 5, 3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/77144?\nAnswer: -1\/77144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 926371 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02247 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g**2 - 13*g + 1. Let s be p(4). Suppose -3*d - 13 = s. Let f be 1*(-3 + d\/(-5)). Solve -4*l = 4*r - 32, 2 = 5*l - 2*r - f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - (13 + 121))*13\/(-3). Let g = x - 608. Solve -4*u = g - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 44 = -2*n, -4*n + 89*f + 16 = 78*f - 84 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32467 is divided by 4921.\nAnswer: 2941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*d + 4*s, s - 3 = -0*s. Suppose -2*w - 46 = -5*f, 0 = -0*f + d*f + 2*w - 26. What is the tens digit of (4 - f) + 6 + 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5923, -11506, -17089, -22672?\nAnswer: -28255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.3. Let h = 2973.3 - 2974. Which is the closest to g? (a) -1\/7 (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324094022.\nAnswer: 2, 7, 23149573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 + 3*d + 2. Let n(o) = o**3 - 7*o**2 + o - 9. Let x be n(7). Calculate the remainder when y(x) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 19 + (-49 + 51 - 5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1936872 is divided by 968401.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -65 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 353+29108\nAnswer: 29461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0348 - -0.3.\nAnswer: 0.3348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7868\/(-562)*24\/14)\/((-6)\/14)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11.6 times -19\nAnswer: 220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 3\/2*k**2 + 111*k - 17\/80*k**5 - 1\/40*k**6 + 1\/168*k**7 - 3\/16*k**4 + 0 + 2\/3*k**3. Find p such that j(p) = 0.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25777.954 + -25805. Let q = 27 + n. Let m = 2.354 - q. Put m, 2\/11, -1\/4 in increasing order.\nAnswer: -1\/4, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 26*p - 136. Give u(11).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 16*n**2 + 1. Give y(-2).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 478*f - 3*f**4 + 26*f**3 - 476*f - 31*f**3 + 7 - f**2 to the form z*f**4 + m + u*f**2 + l*f**3 + j*f and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 5:33 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3100 - 3172 = -12*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -17)*(-14)\/(-42). Suppose -5*h = -2*f + 3, h - 2*h = -1. Let b be (f\/3)\/1*3. Solve -m = b*d - 15, 3*d + 3*m - l = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10386092 is divided by 1385.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*u + 9. Let w(r) = r**2 + r - 3. Let t be w(6). Let f = u + t. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 4)\/((-1)\/5). Let q = -5 + f. What is the third biggest value in -4, q, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 4. Let h be d(-2). Let k = h + 37. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/18 and (-51)\/(-6) + (-3)\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 27*f**2 + f + 4. Let j(n) = 25*n**2 + 2*n + 3. What is 6*j(b) - 5*v(b)?\nAnswer: 15*b**2 + 7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-3 + 4\/2). Let v be k\/(-25) + 169\/20. Let a = 2999\/35 - 427\/5. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0*z**4 + 26*z**2 - z**4 + 1 - 3 in the form m*z**4 + x*z**3 + r*z + l*z**2 + i and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 19*n + 166. What is y(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -66*m**3 - m**2 - 2*m - 1. What is the units digit of r(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 6. Let n be j(3). What is the hundreds digit of 2\/(-12)*n*274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 662*z - 8638. What is y(13)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/16 - (-69)\/(-12). What is the remainder when ((-15)\/m)\/((-1)\/(-2)) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 28 = 4*w, 0*w + 15 = 3*w. Suppose -6*j = -y*j - 4310. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 324*k**3 - 616*k**2 + 1296*k + 2528.\nAnswer: -4*(k - 2)*(k + 2)**2*(k + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202830 is divided by 3073.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2402809 + -3476023. Let u = g + 1073213.7600005. Let a = u + 0.24. What is a rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 6*b - 3*b)*(2*b**4 - 4*b**4 + 0*b**4) + (3*b**4 + b**2 - 4*b**4 + b**2)*(6 - 4 - 4)*(14*b + 30*b - b).\nAnswer: 88*b**5 - 172*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5371*h + 12 + 2*h**2 - 5371*h.\nAnswer: 2*h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 3*f**2 - 3*f - 1. Let g be z(-3). Suppose 2*o = -3*d + 8, 0 = 5*d - 3*o - g + 1. Suppose 0 = -y + 5 - 0. Sort d, y, -2 in descending order.\nAnswer: y, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 - b**4 + 2*b**4 + (-14*b - 2*b - 4*b)*(b**3 + b - b) to the form r*b**4 + m + o*b**2 + d*b**3 + s*b and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*b. Suppose 0*f - 3*f + 15 = b. Suppose -3*n - 2022 = -0*n - 4*d, 0 = f*n + d + 3347. Round n to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - b**2 + 10*b**2 - b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000695 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -0.5, -3, 0.3, -681 in decreasing order.\nAnswer: 0.3, 2\/13, -0.5, -3, -681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.696798 and 0.2?\nAnswer: 0.3393596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224 + 222. Let j = 0.3 - 0.8. Let q = 0.3 + j. Sort -0.07, c, q in increasing order.\nAnswer: c, q, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-4))\/((-9)\/(-36)). Suppose 5*y + o = -4*n, 0*n + n - 7 = -4*y. Find the second derivative of 0*b**3 + 3*b - 2*b**3 + 6*b + 0*b**y wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1038, 1033, 1024, 1011, 994?\n\"Answer: -2*q**2 + q + 1039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**2\/2 + 15*z - 5. Let c be k(-7). Suppose -c*y + 36 = -7*y. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 123*x**2 - 7126*x - 1850. Calculate z(166).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -23*d - 84. Let c(p) = 2*p + 8. Let r(g) = -21*c(g) - 2*m(g). Let s(t) = 743*t. Calculate s(r(v)).\nAnswer: 2972*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**5 + 2035583*w**4 + 34893826*w**2?\nAnswer: 120*w**2 + 48853992*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 3811?\nAnswer: -2\/3811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 5969.\nAnswer: -29845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.9. Let b = 1\/5298 - -10591\/26490. Let j = -18.4 - -18. Sort b, k, j.\nAnswer: j, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1440\/(-51480))\/((-15)\/(-1170))\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153*o**2 - 16 wrt o.\nAnswer: -306*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 2 - 16097*p + 13 - 1.\nAnswer: -16097*p + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 525 + 1 + (3 - 7). Suppose 5*h = b - 187. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4991)\/230 + 22)\/(-9 + (-1976)\/(-220))\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - p + 16. Let c(m) = -m**3 - 2*m**2 + 3*m. Let k be c(-3). Calculate the least common multiple of n(k) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 6*w + 9. What are the prime factors of (-2)\/((-8)\/(-2060)*w)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 - 7)*(a - 8*a - a) + (2 - 9 + 0)*(2*a - 2*a + a) to the form f*a + v and give f.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.4 - -4. Let n = -2.5 - x. Which is greater: 1\/4 or n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {q: 1, y: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*x**3 - 45*x**2 + 178*x**3 - 1501*x**2.\nAnswer: 4*x**3 - 1546*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2441, 4881, 7321, 9761, 12201?\nAnswer: 14641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdp when three letters picked without replacement from gdogcddcgpopddpodocp.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 405?\nAnswer: 13770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8691801593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(1\/12 + (-6)\/8). Suppose s - 4*p = 132, -5 = -2*s + n*p + 267. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48488 or 48487?\nAnswer: 48488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1550 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -20*i**2 - 6834*i + 8894. What is h(-343)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -639?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3105, 24, 0, 2 in descending order.\nAnswer: 3105, 24, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/9 - 20560*l**2\/3 - 16232162*l\/9 - 26539520\/3 = 0 for l.\nAnswer: -256, -5, 31101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/p**20*p)\/(p**(2\/17)\/p))**10)**(-26\/3))**(-36) assuming p is positive.\nAnswer: p**(-854880\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1501 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(-3) + 5 + 11 + 2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 517 and 752?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/9 - -1)*(-23 - -20) - 312\/(-99).\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a - 16. Suppose b - 3*b + 22 = 0. Let k be x(b). Suppose 0 = -3*p - 5*o - k, -o + 2*o + 5 = p. Solve -d = 2 - p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -4)*(-4 + -2). Let g be -3 - -5 - y\/(-21). Suppose 2\/7 - g*w**3 - 2\/7*w**2 + 2\/7*w = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 2*m + 2. Suppose n = 2*a - 18, -2*a + 6 = -2*n - 10. Suppose 3*g = 8*g + a. Let w be q(g). What is the highest common factor of 22 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*k - 25*k**2 + 59*k**2 - 20*k**2 - 6*k**2 - 28*k.\nAnswer: 8*k**2 + 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -345 - 8. Let a = j - -335. Which is smaller: a or -118\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3349 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -23*i**3\/3 - 25*i**2\/2 - 49*i - 1. What is the units digit of y(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 1\/42*h**7 - 36*h + 0*h**2 + 0*h**6 + 0 + 31\/6*h**3 - 1\/4*h**4 - 5\/4*h**5. Find the third derivative of g(l) wrt l.\nAnswer: 60*l**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 p when three letters picked without replacement from {p: 3, a: 15}?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + 62. Let w = 491 - l. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 3*o**2 + 44*o + o**3 - 42*o. Let s be l(-2). Suppose 2*k = 4*f - 28, -2 = -s*k + 6. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 58760326.583.\nAnswer: 58760326.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165181 is divided by 1856.\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 49*b - 326. Calculate s(51).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 1:35 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)\/j)**(-45)*(j*j\/j**(2\/5))**21*(j**2\/j**(5\/3))\/(j**1\/j*j)**1 assuming j is positive.\nAnswer: j**(5351\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 3*h + 4*h. What is the second derivative of 8*a**3 - a**3 + a - h*a wrt a?\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 150 + 58 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1447 divide 16481708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7026465\/7 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 39 + 4*y + 8 - 4*y. What is the tens digit of k(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*t - 4*t + t)*(0*t - 3*t + t) + t**2 - t + t)*(-2 + 5 - 1) + t + 3*t**2 - t in the form c*t + f*t**2 + y and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4*s = 23, 4*s - 35 = -5*g - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 6 = 3*a - 4*a, 12 = 5*a - o. Suppose -92 = -2*s + 5*z, 0 = -0*s - a*s - 2*z + 78. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253094 a multiple of 751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 176 + -5?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -444315 - -1?\nAnswer: -444314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 times -690331\nAnswer: -158776.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 17.2197704?\nAnswer: 13.2197704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 254200?\nAnswer: -254153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -549*o**6\/40 + 1763*o**5\/20 + 3*o**2 - 190*o. Find the third derivative of w(j) wrt j.\nAnswer: -9882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrywmrycymhh. Give prob of sequence mmw.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/8*q**4 + 111\/8*q**2 - 15\/4*q**3 - 45\/2*q + 27\/2 = 0. Calculate q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*sqrt(288) + -2)**2*4.\nAnswer: -248928 - 6912*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {s: 1, x: 2, f: 1, n: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141596918 is divided by 670.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9612 and 43521?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*r + 254, 64 = -2*r + 3*r + x. Let y = 62 + r. Let a = y - 86. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/(13950\/(-54))*(-495)\/(-66)?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 1:11 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 5:12 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/26 in -5, 1, -0.594, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29800 and 36505?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**3*u**2*w - 25*f**3*u*w + 2*f**3*w + 2*f**2*u**2 + f**2*u*w - 2*f*u**2 + 25*u**2*w wrt f?\nAnswer: -6*u**2*w - 150*u*w + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:57 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(396) + (-1*sqrt(396) - sqrt(396))*-2 - (sqrt(396) - (sqrt(396)*-1 + sqrt(396) + 5))))**2 + 5.\nAnswer: 144*sqrt(11) + 6350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-17)\/102)\/(8\/(-177)) and -3\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -21) + (3 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 3220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 - 877 - 157)*(-f**2 + 3*f**2 - f**2)*(f**2 + 0*f + 0*f).\nAnswer: -922*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86086, -344630, -775638, -1379110, -2155046?\n\"Answer: -86232*r**2 + 152*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a30674 (base 11) to base 9.\nAnswer: 3102505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5508)\/(-24)*4\/9. Is 102 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2634296 - -0.0563?\nAnswer: -2634295.9437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 67738, 67760, 67782, 67804, 67826, 67848?\n\"Answer: 22*z + 67716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 3*c**3 + 0*c**3 + (-4*c**2 - c**2 + 3*c**2)*(2*c - 5 + 5) + c**3 + 0*c + 0*c + 2*c**3 - c**3 - 2*c**3 + (c**2 + 0*c + 0*c)*(-11*c + 6*c - 23*c).\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(-14) + 32\/56)\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + 2*c)*(3 + 1 - 2) + (13 - 5 + 2)*(-c - c + 0*c).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 8, 4, 2\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-1)\/(-8)). Let h(u) = -23*u**2 - u + 6*u - 22*u**2 - 44 - 10*u + 46*u**2 + 46. Determine h(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v - 1. Let h(p) = p**3 + 8*p**2 - 6*p - 7. Give -h(t) + 6*x(t).\nAnswer: -t**3 - 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9*(10 - 7). Suppose -13 = -3*i + l. Let u(s) = -s**2 - 8*s. Let n be u(-8). Solve f = -n*f + i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0549 + -168581?\nAnswer: -168581.0549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5965205317 + -0.067\nAnswer: -5965205317.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 2\/145803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 divided by 23915?\nAnswer: -1232\/23915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 6)*2\/4. Let p = j + 20. Suppose -s - 2 = -15. Calculate the remainder when p is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 1\/5, 4, 79, -15\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-8) - (6\/(-3))\/(-4). Suppose 4*s = j, 0*f = -3*f + 4*s - 3. Let d = 2\/13 + 9\/26. Which is the closest to f? (a) d (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3*a + 15 = 0. Let k = a - -4. Let j be 0 + (23 - k) + 2. Calculate the greatest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 104*f - 102*f - 29, 31 = 5*x + 8*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 49478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30572 divided by 2\nAnswer: 15286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 297598?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6\/y)\/y*y*y*y**(-1))**(-1\/3)*(y\/y**0)**(-7\/6)\/((y**1*y*y)\/y)**(-28) assuming y is positive.\nAnswer: y**(319\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, q: 2, a: 1}. Give prob of sequence qr.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*d - 32880*d**2 + 32878*d**2 + 50*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 1.9. Let v = f - 3. Let m = 0.6 - 0.5. What is the biggest value in m, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 405317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/88 and 2 + (2\/14 - 35\/14).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -81. Let s = f - -51.2. Let o = 0.2 - -3.8. Which is the smallest value? (a) -4\/9 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 32*t - 39. Let v(a) = -27*a + 40. Give 5*n(k) + 6*v(k).\nAnswer: -2*k + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/((r*r**(-1)*r)\/r*r)*r)\/r))**(-48)*r*r**(-1\/4)*r*r**2)\/((r*r*r\/(r*r**0))**23*(r**(-1))**(2\/99)) assuming r is positive.\nAnswer: r**(-35731\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -18. Let w be p\/3 - (3 - 5). Which is the nearest to -1? (a) w (b) 0.1 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, 6, -22, 5 in ascending order.\nAnswer: -22, 4, 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -108. Calculate the remainder when 184 is divided by q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187\/156 + -7\/52. What is the fourth biggest value in -5, 1, -26, x?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 84 = 5*h. Let u = -10 + h. Suppose -12 = -5*l - p + 4*p, -2*l - p = -7. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -10d0?\nAnswer: -10c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2966)\/(-7415)*((-197)\/318 - (-6)\/9)\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125945291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 6:24 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnebbetnt. Give prob of picking 1 e and 1 n.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027462973 to six decimal places.\nAnswer: -0.000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 3*y + 5*z + 14, 3*z + 10 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2*o + 5*o)*(17 - 2 - 2) - 81*o + 42*o + 11*o + 2*o - 4*o + 4*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 47*d**3 - d**2 - d + 1. Let v be h(1). Suppose 3*t + v = t. Let u = t - -45. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 4*r**2 + r + 1. Let v be w(4). Solve 0 = v*f - 15 - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 8*a - 1. Let h = -18 - -27. What is the units digit of v(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - e?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 139607236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 7:02 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - g = -4*g + 81, 4*g = -5*w - 405. Let i = w + 255. Let u = i - 95. Is u equal to 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = -h, 2*n = 2*h + 2*h + 24. Differentiate -5 + 4*g**2 - 3*g**2 + 2 + 0*g**n wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126027?\nAnswer: 3, 11, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21199249*x**5 + 20546197*x**2 wrt x.\nAnswer: -1271954940*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185158743.\nAnswer: 3, 7, 11, 19, 42187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c + 48. Give v(-13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**3 + 25*j**2 - 9*j - 21. Let n be 4\/6 - 31\/(-3). Let q(u) = u**3 - 5*u**2 + 2*u + 4. Let r(t) = n*q(t) + 2*k(t). Does 7 divide r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -260*b - 569 - 913 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 13*k**2 - 15*k - 11. Let h be v(-14). Is 41652\/27 - (-1)\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.166, 5, 17, -3 in decreasing order.\nAnswer: 17, 5, -0.166, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - 3 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x + 12. Sort -2, x, 2 in descending order.\nAnswer: 2, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 342*j - 153 with respect to j.\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310212 - 11?\nAnswer: 310201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + v + 35 = 0, -2*v - 10 = -2*s - 0*s. Let r(l) = -8*l**2 - 183*l + 33. What is the lowest common multiple of (2 - s\/3)*-60 and r(-23)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*q + 8*q. Let s be -3 + 13 + (-4)\/q. Let a = s - 5. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*-2)\/sqrt(12) + sqrt(25) + (sqrt(1600) - sqrt(1600)*-2))\/(6*(sqrt(5) - sqrt(180)*-1))*-4.\nAnswer: -46*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**4\/4 - 2*c**3\/3 - 4. What is the units digit of l(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6*(-10)\/5)\/((-20)\/(-25)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(2\/15))\/s)\/((s\/s**(-5))\/s))**11)**(16\/7) assuming s is positive.\nAnswer: s**(-12848\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/13 - 50*o**2\/13 + 2*o\/13 + 50\/13 = 0. What is o?\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/240 and -133\/384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 20\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8859460*d**3*x**5 - 60*d**3 - 514*d**2 + 2*d*x**4 - 6*d*x**2 wrt x?\nAnswer: 531567600*d**3*x**2 + 48*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 156654?\nAnswer: 55\/156654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**2 - 1044*a + 35 + a**3 + 1032*a - 21*a**2. Let u be n(5). Which is smaller: u or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -334094, -2, 4, -13 in increasing order.\nAnswer: -334094, -13, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1806)\/1290 - (-78)\/(-5))*(3 - 2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-252)\/49)\/(-4))\/(290\/(-50) + 6). Which is the smallest value? (a) 2\/11 (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4*s - 36, 0 = 2*s + 2 + 6. Let m = 3928 - 27553\/7. Let r = 59\/7 + m. What is the closest to d in -4, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/((31347\/(-270))\/43)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -66300.40457 to the nearest integer.\nAnswer: -66300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*v**3 - 7*v**3 - 2*v**3)*(-1 + 1 - 2) - 3*v**3 + 0*v**3 + 2*v**3 to z + l*v**3 + o*v + b*v**2 and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -63\/5, -0.4 in decreasing order.\nAnswer: -0.05, -0.4, -63\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4500\/(-1000)*(-4)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.3, -42 in descending order.\nAnswer: 0.3, -0.3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -1\/4 (c) -12.31 (d) 2\/5 (e) -2\/11 (f) -0.3 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.9 - -1.9. Let b = -11 - w. What is the nearest to b in 0.1, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 0.03 (c) 3\/254 (d) -2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 225, 390, 603, 846?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 0*v + 6*v + v**3 + 3*v**3. Let y(k) = 4*k**3 - k + 5. Let z(p) = -p**3 - 1. Let r(l) = -y(l) - 5*z(l). Determine m(f) - 6*r(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-2 + 4)**2.\nAnswer: -192*sqrt(13) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484, 785, 1292, 2095, 3284, 4949?\nAnswer: 7180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/6)\/2)\/(48\/(-96)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1242262675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:04 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 a when four letters picked without replacement from {c: 2, a: 7, l: 6}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -964, -1960, -2952, -3940, -4924, -5904, -6880?\nAnswer: -7852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 5:44 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 0 + (542 - 591)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 3*j = -9*x - 27, j = -5*x + 33 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6726880 (base 9) in base 12?\nAnswer: -1267039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10041*z + 10037*z = 3*m + 8, -5*m = -3*z + 23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1312801879 is divided by 442.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 = 32*t - 58 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 0.0374?\nAnswer: 0.4374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l + 30. Let k be j(5). Let o = -1.66 + 2. Let v = -0.14 + o. Sort k, 0.1, v, 5 in descending order.\nAnswer: 5, v, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4008025 (base 9) in base 16?\nAnswer: -2086a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1296 times 0.5\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/65)\/((-22)\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 o when three letters picked without replacement from ttptnepotpftf?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/393 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 6, f: 6, n: 1, b: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-23)\/(-1104)*-18)\/(47\/4))*3?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**6\/40 + n**3\/6 - n**2 + 18*n + 2. Let y(d) be the second derivative of a(d). Let u(j) = -3*j**2. Give u(y(i)).\nAnswer: -243*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 598777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1718 - -1724. Let y(z) = 0 + 3 - 6*z**2 + z**2 + 0 - 5*z + z**3. Give y(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -26295.\nAnswer: 525.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*1*(0 + (-5)\/(-10)). What is p in -1\/3*p**o + 2\/3 + 0*p**2 + p = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/47268 and -7\/78780.\nAnswer: 236340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t - 3. Let k be l(2). Let n = 169 - 168. Let g be ((-1)\/5)\/(4\/10). Which is the nearest to n? (a) 2 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -77, -158, -239, -320?\n\"Answer: -81*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 9 = -2*v + 3*v, 0 = -4*x + 5*v + 29 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 1\/5 (b) 32 (c) 3\/2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 1)*3 - (-1488)\/3. Let s be (q\/(-17))\/(-2 + (-3)\/(-2)). What is the greatest common factor of s and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Suppose s*y = 14 + 34. Suppose 5*z = -4*c + 23, 0 = 4*z - 5 - 7. What is the lowest common multiple of c and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - 2*w**3 + w**3 + (4 - 5 + 3)*(-136925 + 136925 - 569*w**3) + 3*w**3 + 3*w**2 - 3*w**2 to v*w**2 + m*w + c + u*w**3 and give u.\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3322037 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 876280094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52751 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 13)*(2 + 3 - 7)*(0 + 0 + 2*y)*(17 - 17 - 13*y**2).\nAnswer: 988*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 791*q + 10305. Determine f(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133012313 + -102?\nAnswer: -133013021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*w - 6, w - 3*w + 35 = 5*g. Suppose 0 = 3*d - g, -3*l = -7*l + d + 41. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11043612 and 1332.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12820752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -4, -1.6, 0.03212, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12687090 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 901936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.145 + -7.129. Which is the smallest value? (a) 0.3 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.08 or 3582910?\nAnswer: 3582910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -335*n + 110899. What is t(331)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {d: 1, k: 1, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 8917371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -520, -779?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 15*v - 5. Let r be z(4). Let x = -30 + r. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1041 + 1989. Calculate the smallest common multiple of v and 18.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15503 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3))\/((-4208)\/(-306132))\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -15*l + 16*l, -1 = f + 2*l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/30 - 648*t**2. Let p(m) = 67*m. Calculate c(p(w)).\nAnswer: 8978*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - y + 0)*(-3 + 3 - 4) - y + 0*y + 3*y - 2*y - y + 4*y + (5*y - 2*y - y)*(-3 - 3 + 4) - 6 + 2*y + 6.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-6) - 161\/(-14)*(3 + -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3586)\/(-4401)*24\/22.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -11\/69398?\nAnswer: -11\/69398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - i**2 - 1 + (2*i - 2*i - 3*i)*(i + i - 3*i) - 3*i**2 - 2*i**2 + i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, 0.3, -128645, -333?\nAnswer: -128645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 884921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -162478\nAnswer: -162473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5406.\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 547, -4, 237, 2 in decreasing order.\nAnswer: 547, 237, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 2}. Give prob of sequence kkw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61121?\nAnswer: 61121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -0.911. Let v = 2.611 + m. Which is the closest to -0.3? (a) v (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -414 or -0.2?\nAnswer: -414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 3*b**2 - b + 5. Let k(h) = -h + 1. Let x(n) = -k(n) + u(n). Let q be x(3). Solve -3\/5*y**q + 1\/5 + 2\/5*y**2 - 1\/5*y**5 - 2\/5*y**3 + 3\/5*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 12140960*w\/3 + 18425363715200\/3.\nAnswer: 2*(w - 3035240)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2811*h*r - 2*h + 172*r + 4 wrt h.\nAnswer: -2811*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8141*j = -8134*j + 133 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 1. Let i be z(4). Let w be 23*(i - 0 - 2). Suppose 4*g - 189 + w = 0. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8336 + 0.1664. Which is the closest to -6? (a) j (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 16) in base 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 397 - 11?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**3*o**2 - 415*c**3 + 36*c**2*o**2 + 2*o**2 wrt o.\nAnswer: 6*c**3*o + 72*c**2*o + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, -3, 0 in increasing order.\nAnswer: -3, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 78*z - 18. Let r be x(0). Let w be (-20)\/40*(1 + -11). Put w, r, 6 in descending order.\nAnswer: 6, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 1 = 7*p. Does 10 divide 1*(-1 - p) - -10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.4593 + 0.0593. Let c = -8 - -8. Which is smaller: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*y**5 - d*y**3 - 46*d*y**2 - 64*y**6 + 3*y wrt y.\nAnswer: -60*d*y**2 - 6*d - 7680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 4:00 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9685267ml in litres?\nAnswer: 0.0009685267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3)*g\/(g*g**(-5)*g))**(1\/22)\/((g\/g**(1\/3)*g)\/g**0*(g\/(g**(-7)*g))\/g**(2\/5)) assuming g is positive.\nAnswer: g**(-1304\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:03 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5 + 3 = -5*o, 8 = 5*o - 4*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 14*v - 10. Let c(g) = g**2 + g. Let u(k) = -b(k) - c(k). Let h be u(-12). Sort 0, h, -1 in descending order.\nAnswer: 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*i + 155*i + 1332 = 0. Find the second derivative of -21*k + 52*k - 126*k**3 + i*k**3 wrt k.\nAnswer: 576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 68*f**2 - 136*f + 310. Let q be p(-70). Solve -119*n + 124*n = q for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -546, -538, -516, -474, -406, -306?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000472648 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46671 and 48657?\nAnswer: 2286879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2. Let p(c) = 7*c - 25. Let v(y) be the second derivative of 13*y**3\/6 - 49*y**2\/2 - 30*y. Let q(o) = 11*p(o) - 6*v(o). What is q(x(d))?\nAnswer: -d**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -616, -618, -620?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513, -1206, -1885, -2544, -3177, -3778, -4341, -4860?\nAnswer: -5329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 1. Let z = -27 + 28. Let g = z + j. Which is the biggest value? (a) -1\/2 (b) g (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3449, -3487, -3551, -3647, -3781, -3959?\nAnswer: -4187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13930806, -27861655, -41792502, -55723347, -69654190, -83585031, -97515870?\n\"Answer: u**2 - 13930852*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 5*m + 8, t + 2*m + 3 = -0*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107734290.\nAnswer: 2, 3, 5, 3591143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**4\/30 + j**3\/3 + 4*j**2\/5 + 5*j. Determine a, given that q(a) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**3 - 2*s**2 - s. Let t be h(-1). Which is the smallest value? (a) 5 (b) -2\/13 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -16*q. Let s be j(2). Let g = s + 59. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1073 divide 2564305856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17828, -35646, -53432, -71156, -88788, -106298?\nAnswer: -123656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 4*p + 7. Let b be d(-5). Suppose b*l + 2*z - 36 = 0, l + 5*z - 16 = 3*z. What is the lowest common multiple of l and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11200 + 1112201?\nAnswer: 1130001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 11:20 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 881273.2 centimeters?\nAnswer: 8812732000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51266 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 - 155. Let r be 12\/10*20\/6. Let t be (r + i\/(-2))*4. Solve -3*w = 4*g - 1, -4 = w + w - t*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -31*t**2. Let x(w) = -15*w**2. Give -6*p(h) + 13*x(h).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120570?\nAnswer: 2, 3, 5, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0)**(-1\/7))**5 assuming w is positive.\nAnswer: w**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 120, 276, 432, 588?\n\"Answer: 156*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -63598471*d. Let h(b) = -6*b. Give u(h(r)).\nAnswer: 381590826*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 210 + 184 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -49\nAnswer: 68.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 + 6. Let t(v) be the first derivative of -8*v**3\/3 + 17*v + 349. Calculate 17*c(m) - 6*t(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10335 (base 11) in base 8?\nAnswer: -35302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4305\/8 + 21541\/40. Which is the closest to -0.1? (a) 12 (b) -5 (c) g (d) -0.131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 132, -3, 2 in descending order.\nAnswer: 132, 9, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3\/y**(-5))\/((y*y\/((y*y*y*y**(-3\/2)\/y)\/y))\/y*y*y**(1\/3)*y) assuming y is positive.\nAnswer: y**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {s: 1, q: 1, c: 1, z: 1, o: 1, r: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86609 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 340*r**2 - 10*r + 13. List the prime factors of c(2).\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j + 340*z + 92 = 4*j + 343*z, 3*z = -5*j - 20 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41868593?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*b = -55, t - 3*b + 31 = 3*t. Let c(m) = -m**3 + 7*m**2 + 12*m - 8. Is 8 a factor of c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1039, -3, -5, 0.5, -0.5.\nAnswer: -1039, -5, -3, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i. Suppose -3*d = -m - 12, 0 = 5*m - m + 12. Let j = d - 0. Let l(f) = 5 + 4*f**2 - j - 2. Determine z(l(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 373635 + 47?\nAnswer: 373704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -15\/4 (b) -2\/269 (c) 8 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, z: 7}. Give prob of picking 4 z.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*a + 9*a + 14*a)*(-a + 1 - 1 + (-2 + 3 + 1)*(-3 + 2*a + 3) + a + 3 - 3) to o*a + d*a**2 + j and give d.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**4\/8 - 11*j**3\/3 + 9*j**2. Let g be h(9). Solve -d - 2 = -g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 402 - 398. Which is the closest to 9? (a) i (b) 0 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = u + 14 - 1, -2*u = 5*z - 34. Solve u = r + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t. Let l be (-1 + -6 + 5)\/((-2)\/100). Let q(b) = 38*b**2 - 14 + 14 + l*b**2. Determine q(g(h)).\nAnswer: 552*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4) - (-105)\/100)\/(59 - 90904\/1540)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-7)\/42 + (-21)\/(-9). Let i be (3 + 1)*22\/4. Calculate the greatest common factor of w and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**4*z*z)\/z*z*z*z*z**(-1\/9))\/(z\/z**(2\/7))**44)\/((z**(-3\/2)\/z)\/(z**(7\/2)*z*z)*(z\/z**(-1))**(-34)) assuming z is positive.\nAnswer: z**(3368\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10\/9 (b) -2\/33 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.352 from 21701018.\nAnswer: 21701018.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = g + q - 7, g = -2*q + 26. Calculate the remainder when 62 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166079 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -52720000 rounded to the nearest 1000000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f**5 + 6038*f**4 - 12153*f**3 - 42392*f**2 - 24208*f = 0. Calculate f.\nAnswer: -6052\/7, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90.6 + -59. Let b = 32.97 - o. What is b rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 483110280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwcwwhhhhhhwhwwwhhhw. What is prob of picking 1 w and 2 h?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.13 (b) -273 (c) -0.4 (d) -4 (e) 0.11 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77 + 19 - -57)*54?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 - -199. Sort -10, 5, y.\nAnswer: -10, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 4*v + 4*v)*(-235 + 72 + 2 - 145) in the form w*v + t and give w.\nAnswer: -1530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 0*q - 11 = 52, 2*a = 17*q - 0*q - 559 + 208 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -m + 95, 0*m + 2*m = 4*l - 62. 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 a = -173 + 26. Let i be -2 - 7\/(a\/40). Let u be (-234)\/36 - (3\/6 + -2). What is the second biggest value in 0.5, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**7\/840 + c**6\/180 - c**5\/30 + c**4\/8 - 7*c**3\/3 + 2. Let n(y) be the third derivative of b(y). Calculate n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6595\/14 - 32933\/70. Let p = 0.03 + 0.27. Which is the fourth biggest value? (a) 0.5 (b) r (c) p (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**3 + a**3 - 2*a**3)*(400 - 355 - 4693*a - 43) to t + b*a**4 + k*a**2 + u*a**3 + f*a and give b.\nAnswer: -9386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11204, -11335, -11466?\n\"Answer: -131*k - 11073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1006, -3822, -8490, -15010, -23382, -33606, -45682?\nAnswer: -59610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/55*1218\/(-812)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*d**4*u - 281478*d**3 + 2*d**2*u + 3*d - 305*u + 68 wrt d.\nAnswer: -480*d*u - 1688868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(6*sqrt(9)*-1) + -2.\nAnswer: -2 - sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) -3\/5 (c) 3\/2 (d) 0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(3\/((-18)\/4)). Suppose -s*d + 3*q + 2*q = 8450, -5*d = 4*q + 14034. Round d to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.246709 - 334800.\nAnswer: -334800.246709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**5\/20 - d**4\/2 - 3*d**3\/2 + 4*d**2. Factor i(k).\nAnswer: -3*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -41*w**2 + 0*w**5 + 0*w + 0 + 0*w**4 + 7\/40*w**6 - 5\/2*w**3. Differentiate h(t) with respect to t.\nAnswer: 63*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/5)\/u**(2\/9))\/(u**(1\/3))**(-3\/8)*(u**(-2\/7)*u*u*u*u**0*u)**(2\/25) assuming u is positive.\nAnswer: u**(-12601\/12600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f + 60. Let u(b) = -25*b - 122. What is 5*a(i) + 2*u(i)?\nAnswer: 5*i + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -4\/7, -4\/5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + 1.19. Let j = -120.7889 - -119.648837. Let u = j + d. What is u rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16035 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/6 + -279 + 275?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067268999?\nAnswer: 3, 2851, 124783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkoooooooooooooooooo. What is prob of picking 2 o?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/233076 and 119\/6?\nAnswer: 233076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4215 (base 7) in base 2?\nAnswer: 10111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -15.32\nAnswer: -61.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) -3 (c) -0.2 (d) -10 (e) 0 (f) -6\/25 (g) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7592077 centuries to decades.\nAnswer: 7.592077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2738 + 1472. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1.6, -1\/9, 0.21?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1828080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2546 + -779.3546. Let a = j + 712. What is a rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**3 + 8*h. Let t(b) be the third derivative of b**6\/60 + b**4\/8 - 14*b**2. Let y(f) = -14*t(f) + 5*v(f). Factor y(u).\nAnswer: 2*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 151 = -j, 2*j - 7 = 3. Let i = 1 + t. Calculate the highest common divisor of i and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**6\/720 - 11*i**4\/12 - 6*i**2. Let q(w) be the second derivative of x(w). Determine q(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, 39, 60, -1, -2\/11 in descending order.\nAnswer: 60, 39, 0, -2\/11, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 - c - 1. Let t be i(-1). Suppose 46 = 30*j + 13 + 3. Solve -t*v = j - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556e (base 16) in base 12?\nAnswer: 107a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/120*(-30)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let l(x) = -16338*x. Give l(r(s)).\nAnswer: 16338*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 5, 10, 0.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111011011110100001 (base 2) in base 16?\nAnswer: -bb7a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/170*1\/(-6).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfpf when four letters picked without replacement from {f: 4, m: 3, p: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56\/5 - 514\/45. Let r = -342 + 138. Let s = r + 207. Which is the nearest to 3? (a) o (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from kkffakkkwwkaafkk.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -835 + 97 = -3*s. Calculate the remainder when (-2 + 1)\/((15\/(-5))\/s) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:30 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 2*k - 6. Let n be f(6). Let b be (-4)\/n - 4\/(-18). Suppose 4*d + 6 = 2. Which is smaller: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -308621 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24986724 and 96138?\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*d - 8358 = -5*d, -f = 4*d - 2079. Calculate the greatest common divisor of f and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 19. Let o(x) = -5*x - 12. Let z be o(-6). Solve 5*m + u = 12, l*u - z = m - 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 115825, 231629, 347433?\n\"Answer: 115804*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-5 + 4 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -f + 5*o, 3*o = 2*o - 3. Suppose g - 3309 = 2*k - f*k, g + 1662 = k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.010916 - 0.010916. Let h be (-4)\/39*(-3)\/2. Which is the third smallest value? (a) t (b) 4 (c) h (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or 150?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t*t**(-7)\/t)\/t))\/t**(-2\/3)*(t**(-2\/17)\/t)\/t**(-4) assuming t is positive.\nAnswer: t**(589\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 48. Let u = 25 + -23. Let f be ((-28)\/(-2))\/((-12)\/(-6)). Solve -20 = -2*w - 4*c, -w + u*c + a = f*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 - 78*q - 495. Determine p(-6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 4*z + 25. Calculate the smallest common multiple of j(8) and 45.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32508\/(-387))\/(3\/(-9)*-4)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.9 - 2.9. What is the biggest value in n, 24, 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - -92. Let v = 107.3 - o. What is the third smallest value in v, 10, -1\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**4 - 3*b + 1\/20*b**5 - 4*b**2 + 7\/6*b**3 + 0. What is the remainder when k(-11) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20*((-8)\/12 - (-7)\/6). Let a be 15\/(-25) + 1 + 36\/y. Solve -16 = -4*m, 0 = -a*t - m - 1 - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144 + 148. Suppose -7*d - 3*k = -3*d - 29, 12 = h*k. Solve 0 = 6*r - 2*r - q + 3, -5*r = d*q + 35 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3\/4, 514, 0, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 15, 9, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 327?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18166, -18150, -18134, -18118, -18102?\nAnswer: -18086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7.3. Which is the closest to 1? (a) 0.1 (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (192\/(-32))\/(3\/(-2)). Let i(s) = 4*s. Let v(w) be the third derivative of 5*w**4\/24 - 2*w**2. What is c*v(g) - 6*i(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1394 = -7*q + 370. What is the greatest common divisor of q and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -279 - -489. Let z be 4\/8 + (f\/(-4))\/(-5). Let w(l) = 2*l - 16. Let u be w(z). Solve -2*t = t - u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, -192, -876, -2262, -4584?\nAnswer: -8076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d2bd + 4?\nAnswer: 3d2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 1507 - 1501 - 2*f**2)*(-3 + 2 + 2).\nAnswer: -2*f**2 - f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 682 and 558.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4 + 11. Let g be 1\/(-36) + j\/28. Let d = 1.1 + -5.1. Which is the closest to -0.1? (a) g (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 3*y**2 - 73*y + 36. What is h(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**4 + 0*n**4 + 2*n**4 - n**4 + 6*n**4 - n**4 + (n**3 - 2*n + 2*n)*(1 - n - 1) + n**2 + 2*n**4 - n**2 + 3*n**4 + 4 - 4.\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 254*r**2 - 17*r + 3. Is i(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 993 divide 3942443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 6 + (17396 - 17368)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veeeev. What is prob of picking 1 e and 1 v?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 45. Let v = -18 - w. What is the remainder when 29 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -13. Let y be (-80)\/14 + (-2)\/p. Is y at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 7*g**2 - 6*g - 15. Suppose 8*j - 28 - 12 = 0. Let q be c(j). What is the third derivative of -q - 38*h**2 - 6*h**2 - 33*h**4 + 5 wrt h?\nAnswer: -792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4867182?\nAnswer: 2, 3, 173, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -173c6 (base 14) in base 4?\nAnswer: -32100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300 by 60.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 155*w**2 - 8*w + 14. Let j be v(6). Suppose -2*o = -2*p + j, o - 13851 = -5*p - o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22e (base 15) to base 12\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/590654520 and -173\/1710.\nAnswer: 590654520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 54*r. Let w(s) = -37*s**2 - 2. Determine o(w(b)).\nAnswer: -1998*b**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzzrzzrzrzzzrzz.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 3}. What is prob of picking 1 j and 1 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -339625 or -336994?\nAnswer: -339625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(-10)\/o)*o))\/o**(-15) assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxxqnqbxnqqxxfq. Give prob of picking 1 n, 1 q, 1 f, and 1 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 6\/(-4))*(13 + -13). What is the closest to 0.1 in s, -126, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l + q = -1, 3*l + 15 = 3*q. Let h be l\/1 - 172\/4. Let j = h + 76. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -13*j**2 - 972*j - 713. What is a(-74)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in -423, -5\/7, 0.4?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 34. Let f be z(-12). Let w be (-1)\/f + (-1809)\/(-3510). What is the biggest value in -4, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-12)*42\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9243 + 68163 = 4*a. Suppose -11*i = -21163 - a. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 38. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 416 and 1392912.\nAnswer: 36215712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 1112. Let x(m) = -2*m - 1111. What is -3*c(p) - 2*x(p)?\nAnswer: p - 1114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 + 175. Calculate the least common multiple of q and -1 + (-5)\/(-5)*19.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/9 + 4298*d**4\/9 - 2199854*d**3\/9 + 2191262*d**2\/9 + 2199856*d\/9 - 2195560\/9 = 0?\nAnswer: -1, 1, 838, 1310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(25)\/sqrt(5) - (sqrt(320) + -3)**2).\nAnswer: -245*sqrt(5) + 1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -459846*g + 1839338. What is u(4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/11 or -1?\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7e66ca (base 15) to base 3.\nAnswer: -102101011210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1384524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Suppose 0 = -0*k - 4*k + 8. Suppose -h + 158 = 3*v, -2*h + d*v + 324 = -k. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2377.8753ns to minutes.\nAnswer: 0.000000039631255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, g: 4, j: 3, p: 1, z: 5, o: 6}. What is prob of picking 3 o?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.091 - 0.009. What is the closest to a in -1\/2, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -42. Suppose -r = -4*x - 2*a - 2, x = 3*a - 3. Let m = 96 - 56. What is the remainder when m is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/4844 and 137\/1956630.\nAnswer: 27392820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/(-196)*2\/8*-2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9409 + 6655.3221.\nAnswer: 6657.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/60 and 41\/192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*p, 3*p = -3*g + p + 17. Suppose 52 = -7*u + 108. Solve g*o + u = 7*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9169284850 to the nearest 100000.\nAnswer: -9169300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(567)*1 - sqrt(567) - sqrt(567))**2 + 2 - ((2*sqrt(567)*-2 - sqrt(567) - (sqrt(567)*-2 + sqrt(567) + -2)) + -1).\nAnswer: -1129 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*(-1 + sqrt(704)) - sqrt(704)) + 3 + (2 + sqrt(704))**2 + sqrt(704)).\nAnswer: 144*sqrt(11) + 4272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2092*r + 12560. What is z(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ussgxugsuxs. What is prob of picking 1 g and 1 x?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 + v**3)*(-2 + 1 - 1) + (4*v - 2*v - 3*v)*(-2*v**2 + 3*v**2 + 0*v**2) + 5*v**3 - 3*v**3 + 0*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/17077528 and -20\/93.\nAnswer: 51232584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:05 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 8. Let w be n(0). Let f be -1 + (-3)\/((-6)\/32). Suppose -5*q = f, -2*i - q = -8 - 21. What is the highest common divisor of i and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*-1 - (sqrt(8)\/sqrt(4) + 3))**2.\nAnswer: 30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**2. Let x(j) = 39*j - 9*j - 22*j - 16*j. What is m(x(b))?\nAnswer: 512*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 2*q**3 + 610*q - 2*q**3 - 609*q - 1. What is g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91538402*o**2 - 54210121 wrt o.\nAnswer: 183076804*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, j: 1, l: 2, p: 4}. What is prob of sequence pz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 6*a**2 + 6*a - 3. Let x be s(-7). Suppose 4*l + 0 - x = 0. Let c(j) = -1 - j + 3*j + l. Let i(g) = 2*g**2. Calculate i(c(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 34 - 2*a + 32 + 12 to the form g*a + z and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/21 (b) 45917 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 43*s**2 - 45*s - 70. What is k(44)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 1.08349.\nAnswer: 1.28349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 317086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 914 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/6)\/(-9)*178. Let n = i + -1. Let z = n + 8. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 4 + 10)*120. Suppose 11*t = 6*t + a. Suppose w + 3*w = t. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 531 - 42. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:09 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = 0, -19*x + 17*x = -3*s + 7689. List the prime factors of s.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 846.6858 meters?\nAnswer: 846685800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1\/7 (c) -3 (d) 1\/3 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24393480 > 24393481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 369, 1457, 3271, 5811, 9077, 13069, 17787?\n\"Answer: 363*u**2 - u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (172\/10)\/((-20)\/(-50)). Let b = i + 12. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7626.05 to the nearest 10.\nAnswer: -7630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i**3 - 56*i**2 + 2352*i - 11637. Calculate q(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/((-4)\/(-16)*2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.05 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/297 + 398\/297. Solve 2\/3*g**4 + 0 + 2\/3*g**2 + 0*g + z*g**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101304 to the power of 1\/2, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81515054?\nAnswer: 2, 19, 197, 10889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/30? (a) 6 (b) 0.4 (c) -0.5 (d) -2 (e) 142\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6658193.\nAnswer: 6658193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 930.9 to the nearest integer.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 544.9999768 + -545. Round u to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2383?\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -926*y**2 + 397.\nAnswer: -1852*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15785, 15700, 15615, 15530, 15445?\n\"Answer: -85*d + 15870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 5, 7, 0, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15 - 8.15. Let m = 112 + -119.7. Let r = m - u. Which is the nearest to -3? (a) 0.4 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132511 (base 8) to base 16\nAnswer: -b549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*c**2*d + 5*c**2 - 197*c*d - 3270*d + 173 wrt c.\nAnswer: -156*c*d + 10*c - 197*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*i**5 - 33\/4*i**4 - 33*i**3 - 36*i - 57*i**2 + 0 = 0 for i.\nAnswer: -4, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from memememeemeemeemmeme. What is prob of picking 2 m?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1027 or 1026?\nAnswer: 1026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -172*o**2\/9 - 552*o + 640.\nAnswer: -4*(o + 30)*(43*o - 48)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 3. Let x(m) = -2*m - 2. Determine 3*n(d) + 5*x(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.8, 0.03076, 4, -1\/6, 0, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 28 = -4. Suppose -15*u = -c*u + 110. Let a = 10 + u. Solve 0 = y - a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/150*(-42 - -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.991 - 0.009. Let q = -4.88 - 0.12. Let a = h - q. Which is smaller: 0.012 or a?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -12*k**2. Let z(x) = 2*x**2 - 68. Determine z(h(a)).\nAnswer: 288*a**4 - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -757826092*g - 57862718 with respect to g.\nAnswer: -757826092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 + 1 = 0. Let a be 20\/8*54\/q. Calculate the common denominator of 23\/10 and a\/(-20) - (10 + -13).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f**3*o*p + 27*f**3 + f**2*o - f*o*p - 4*f*p wrt p?\nAnswer: -3*f**3*o - f*o - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6297732 is divided by 401?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 + 151*x**2 + 100*x + 104. Let y be f(51). Let r(n) be the first derivative of 0*n + 1\/18*n**4 + 0*n**3 - 18 + 0*n**y. Solve r(u) = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 164*s**2 - 189*s - 3336. Calculate h(5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-32) - (-34)\/8. Suppose 2*k = 2*d - 4*d - 14, 16 = -d - l*k. Let u = -0.68 - 0.32. Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2. Let t(s) = -943*s**2. Give g(t(n)).\nAnswer: 3556996*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**2 - 184 - 16 - 43.\nAnswer: -16*g**2 - 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-2 + 32 + -28 + (4 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215002 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20705268.6 seconds?\nAnswer: 239.6443125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4540 + -47215?\nAnswer: -53755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**5\/6 - 395*a**4\/2 + 74215*a**3\/6 - 471995*a**2\/6 + 85100*a + 529000\/3 = 0.\nAnswer: -1, 4, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-22)*(12\/8)\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/11 - 20*g**4\/11 - 14*g**3 + 12*g**2\/11 + 720*g\/11 = 0.\nAnswer: -4, -3, 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -3*c**5\/40 - 3*c**4\/8 + c**3\/4 + 9*c**2\/4 - 29*c. Find h, given that l(h) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -53. Let o be q*2 - (125\/(-5) + 2). Calculate the greatest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/4 + 12*d**2 - 12*d - 192.\nAnswer: 3*(d - 4)*(d + 4)*(d + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 + (-594)\/6)*98\/(-42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.96, 3, 0.06, 26, -3\/2 in increasing order.\nAnswer: -3.96, -3\/2, 0.06, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -13, -2, 120, 89, 1 in descending order.\nAnswer: 120, 89, 1, -2, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/81)\/((-2)\/18). Solve -2*j + 10 = 0, -s*j - j = 2*k - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - z - 5, 5*k = -z - z + 16. Let f = 23 - 7. Suppose -f = k*q - 2. Let v(w) = -4*w + 7. Let j(y) = -5*y + 8. Calculate q*v(l) + 6*j(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1257 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -7. Suppose -4*g + q + 10 = 3*q, 2 = 2*g + r*q. Solve -13 = -3*s - g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 2276124.\nAnswer: 2276124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19*1)\/((-74019)\/(-13458))?\nAnswer: 38\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and -124.\nAnswer: -161.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1524604100 to the nearest one million.\nAnswer: -1525000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**4 + 15*i**3 - 11*i**2 + 3*i. Let z(v) = 16*v**3 - 12*v**2 + 4*v. Let j(l) = -4*d(l) + 3*z(l). Determine a, given that j(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 7*w**2 + 3*w - 2. Let f be b(-6). Let y = f - 1. Suppose v = 2*v - 3. Calculate the highest common divisor of y and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 268*s**2 + 37270*s - 371. Determine r(369).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*k + 59*k - 148*k + 92*k.\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 18 = -x. Suppose -m + 24 - 27 = -v, -3*m + 15 = 3*v. Suppose 3*w + v*a - 516 = -w, 0 = -a + x. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, 4, 0.\nAnswer: 0, 4, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 926288 (base 13) to base 8\nAnswer: 15010647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -257 + 6*z + 122 + 135. Let k(h) = -h + 1. Let j(v) = -6*v + 5. Let t(b) = j(b) - 5*k(b). Give q(t(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-3) - -7 - -1*1. Let -4*z**4 - 16*z**5 - 2*z**4 + 10*z**4 + 16*z**k + z**2 - 5*z**2 = 0. What is z?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 144*p + 66)*(-6 + 5 - 1) - 2*p + 0*p + 3*p.\nAnswer: -287*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*r**5 + r**4 + 356*r + 2?\nAnswer: 800*r**3 + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {o: 5, u: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1495.9 - -1566. Let h = x + -49.8. Let n = h - 20.3000137. Round n to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10402563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*h = 2*h + 6, -u - 1 = -2*h. Let q = u - 5. Solve -6*g + 2*g = -s - 6, -5*s = q*g + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**3 + 4*m**3 - 14*m**3 + (-2*m**2 + 3*m**2 - 3*m**2)*(-72 + 58*m + 72 + (-2 - 1 + 5)*(3*m + 3*m - 4*m)) + 4*m**3 - 13 + 13.\nAnswer: -137*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23\/73 - 4\/219. Which is the closest to 1\/2? (a) n (b) -0.5 (c) 1\/144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r + 26 = 110 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-13) - (-168392)\/(-403). Let a = s + 737. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - -0.19. Let o = p - -11.89. Let z = 12.00007 - o. Round z to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -68418, -68407, -68396, -68385, -68374?\n\"Answer: 11*u - 68429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(5) + sqrt(5) + sqrt(10)\/sqrt(2) + sqrt(5) - sqrt(5)))\/(sqrt(48)*-3).\nAnswer: -sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32691523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -9*r**4\/2 - 4990*r**3\/3 + 1948*r**2 + 1112*r - 4581. Factor q(g).\nAnswer: -2*(g - 1)*(g + 278)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -696874*z**2 + 696872*z**2 - 996 + 1026.\nAnswer: -2*z**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544027 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnqnqqn. What is prob of picking 4 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/12 + (-2)\/(-4))\/((-1789)\/(-5367)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**15*((t**(2\/3)*t)\/t)\/(t\/(t*t*(t*t\/t**(-1\/8))\/t)) assuming t is positive.\nAnswer: t**(-293\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -15.5, -1, -2.7, -10, -2 in decreasing order.\nAnswer: -1, -2, -2.7, -10, -15.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 - 0. Let n = m - -2. Which is the nearest to 0? (a) -5 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Let o(l) = l**3 + 2*l**2 - 2*l + 1. Let p be o(1). Let j(i) = p*i + i + 4*i - i. Calculate u(j(x)).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.26 + 9.26. Let s = 548 + -544. Let k be 0*(-3)\/9 + -1. Which is the nearest to 0? (a) k (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 6, h: 7, q: 1}. Give prob of picking 2 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*m = -14 + 29, 5*m - 3 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2698033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 48. Suppose -h - 15 = 2*h. Which is the second smallest value? (a) h (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81\/2 of a century?\nAnswer: 4050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8b1 (base 16) to base 14\nAnswer: b4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:19 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1008*r**3 - 6*r**2 - 239*r + 5. Let t(c) = 505*c**3 + 3*c**2 + 120*c - 2. Let k(f) = -5*t(f) - 2*u(f). What is the second derivative of k(z) wrt z?\nAnswer: -3054*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 800593 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 52*v + 15. Let t(m) = 58*m + 11. Calculate 2*b(i) - 3*t(i).\nAnswer: -70*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 13, a: 6}. Give prob of picking 4 a.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34841*y**2 + 4*y - 3675251.\nAnswer: 69682*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + y + 40. Suppose c + 316 = 2*w, -13 = -2*c - 5. Let j = 160 - w. Give g(j).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1847616 to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6980935\/112 + -62329. Let y be ((-1)\/4)\/((-14)\/(-51)). Let o = m - y. Find the common denominator of -43\/10 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5700275 + -70349.58?\nAnswer: -5770624.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:42 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5)\/(n**(1\/14)*n*n))\/(n*n**(1\/3))**(3\/20))\/((((n*n*n**9*n*n)\/n*n*n)\/n**(-6))\/((n\/((n**(2\/15)\/n)\/n))\/(n**1*n))) assuming n is positive.\nAnswer: n**(-4411\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -177326, -20, -5, -3, -4 in descending order.\nAnswer: 5, -3, -4, -5, -20, -177326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*x + 51*x + 292 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*q - u - 6, 2*q = 4*u + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 135*d**2 + 4. Let w(n) = 13635*n**2 + 405. What is -405*v(u) + 4*w(u)?\nAnswer: -135*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/2)\/(7\/28). Let h = 2 - 7. Let j(a) = -6*a - 2. Let d be j(h). What is the greatest common divisor of d and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 7)*(0*s**5 + 5*s**5 + s**5) + 10*s**3 - 10*s**3 - 7*s**5.\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 58 + -26 + (1 + -4 - -15)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-113)\/(-28) - 22\/77)\/((-66)\/(-176))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1173 = 568535*v - 568558*v for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k + 120 = 0. Let p be (34\/8)\/(6\/k). Which is smaller: 18 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -13\/1038.\nAnswer: -1, -13\/1038, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:58 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1515273 rounded to three dps?\nAnswer: 11.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1060.55.\nAnswer: 212.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 68 - (55 + -55 - -31)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -32.6\nAnswer: -97.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1614, 7088, 16422, 29616, 46670?\nAnswer: 67584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155 - 157. Let k be (-18)\/12*f\/(-3). Let d(y) = -2*y + 21 - 7 - 15 - 19*y**2. What is d(k)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 95 = -4*w. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2266, -9074, -20422, -36310, -56738, -81706?\nAnswer: -111214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 - (6 - 13)) - 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1383146*m**6 + 2*m**5*o - 455990*m**2*o + 4*m*o wrt m.\nAnswer: -165977520*m**3 + 120*m**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.27 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26852349 is divided by 67?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*1*(-120)\/160\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/(-30) + 4)*(-98)\/28*(-2760)\/(-126)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -20*t + 39. Let o(h) = -7*h + 14. Let i(f) = 6*b(f) - 17*o(f). Suppose -m + 4*m - 12 = 0. Calculate i(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.694, -3?\nAnswer: 0.694","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 620, 3, -30 in ascending order.\nAnswer: -30, 3, 620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**4\/5 + 58*y**3\/5 + 113*y**2\/5 + 56*y\/5 = 0.\nAnswer: -56, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 846540, 1693083, 2539602, 3386091, 4232544, 5078955, 5925318, 6771627?\n\"Answer: -k**3 - 6*k**2 + 846568*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8345 or -216953\/26?\nAnswer: -8345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.332 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)*p**(-2\/3))\/(p**(2\/3)\/p**(2\/15)) assuming p is positive.\nAnswer: p**(-44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. Suppose -3*w + 138 = -4*x + 38, -j*x = 3*w - 93. Suppose -5*t = -5*g + 9 - 54, 2*t + g = 21. Calculate the least common multiple of t and w.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 5*d = p + 9, 5 = -5*p + 5*d. Find the second derivative of -29*f**2 - 7*f - 109*f**3 + 112*f**p - 31*f wrt f.\nAnswer: 18*f - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 110037 = 13*o - 11547. What is the thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*p**2)*(0 - 2*p**2 + 0) + 3*p**4 + p**4 - 8*p**4 - 4*p**4 + 10*p**4 + 5*p**4.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.4 - -4. Let o = 2 + 1. Suppose -3 = -2*h + o. What is the second biggest value in a, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 4685230305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -239*y**2 - 246*y**2 + 736*y**2 + 107*y - 237*y**2 - 3*y in the form b + d*y**2 + t*y and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 9. Let y be r(3). Let f(p) = -p**3 - 13*p**2 + 13*p - 14. Suppose 15 = -2*a - 13. Let g be f(a). Solve -3*x - y = 2*z - 0*z, g = 4*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 - 1)*(3*w**2 - w**4 - 3*w**2) + 7*w**4 - 2*w**4 - 3*w**4 - 6*w**4 + 38*w**4 + 3*w**4)*(5 + 5 - 4)*(5*w - w - 3*w).\nAnswer: 234*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 5*w + 27. Let q be l(-8). Calculate the greatest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17304 and 114478320.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 10) in base 7?\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let m = 4 - k. Solve -m*y - 10 = -4*b, b + 25 = 4*b - 5*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2374639.\nAnswer: 19, 124981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3085690 to the nearest integer?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2817 is divided by 122?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 37 = -j - 5*b, -j = -3*b + 16. Solve 4*r + 1 = j*r, -3*m - 3*r - 12 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 12*o + 8. Let u be a(-7). Calculate the least common multiple of 23 and 2 + 1 + 3\/u*-12.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(2 - 6*m - 2)*(-7 + 3 + 2)*(-3 - 3 + 4).\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 298 = -4*n + 353. Let g(c) be the first derivative of -3\/10*c**n - 19 + 0*c**2 + 0*c + 0*c**4 + 1\/2*c**3. Let g(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**8\/1680 - i**7\/280 - i**6\/120 - i**5\/120 + 4*i**3\/3 - 3. Let b(a) be the third derivative of m(a). Factor b(u).\nAnswer: -u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37, 97, 197, 337?\n\"Answer: 20*p**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chhlcllll. 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 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - 0.016. Let x = o + 10.306. Let v = -19 + x. Round v to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o - 34. Is 9 a factor of y(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10*b**2 + 3*b - 25. Let g(s) = -20*s**2 + 5*s - 54. Calculate -3*g(r) + 5*i(r).\nAnswer: 10*r**2 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2381*j. Let k(h) = -3*h**2. Calculate z(k(a)).\nAnswer: -7143*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108750339 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(-7))\/(1\/1). Is 18 a factor of (3\/2*-34)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142 + 0 - 29\/((-58)\/12).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 843, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apistaastasaassa. Give prob of picking 2 s, 1 i, and 1 a.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77557671*q**3 - 16867*q**2 - 26119 wrt q.\nAnswer: -465346026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47630 less than -5?\nAnswer: -47635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2278797.8 - 0.06?\nAnswer: -2278797.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/892940 and 1\/308.\nAnswer: 68756380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s + 2322767 = 92*s - 6188927. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 2. Let d be j(3). Suppose -2*q - 4 = -d*q. Suppose y - 2*y + q = 0. Calculate the smallest common multiple of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 7. Suppose -4*o = -5*l + 1, 0 = o - l - l - 2. Let r be p(o). Find the third derivative of r - 3 - i**2 + 5*i**3 wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3))**46*(f\/(f\/(f\/(f*f*f**(-12)))))\/f**4 assuming f is positive.\nAnswer: f**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c2b389 (base 13) in base 10?\nAnswer: 4537425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-10*(-8)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 75 = -200. Suppose 3*l + 8*t - 4*t - j = 0, -4*l - t = -56. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1984494 by -2.\nAnswer: 992247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42.8 - 33. Let x = -5.8 + d. Which is the second biggest value? (a) 3 (b) x (c) 6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:53 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115999 (base 12) in base 9?\nAnswer: 6126510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80773236 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: Convert -1a (base 11) to base 3.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 262*p**3\/3 + 3*p**2\/2 + 2316*p - 3653. Find the first derivative of f(l) wrt l.\nAnswer: 524*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 3 + 4)*(-5 - 1 - 4)*(10 + 10*c**2 + 2 - 14).\nAnswer: 900*c**2 - 180","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 13490?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 521269820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 4*r**2 - r + 3. Let x be z(4). Let w be (x\/(6 - 1))\/(-1). Which is smaller: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -273*z**2 - 96*z - 7*z**2 + z + 7*z wrt z?\nAnswer: -560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*t**3 - 10*t**3 - 2 - 18*t**3 - t as i*t**3 + b*t**2 + c + d*t and give i.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*((-133)\/(-399))\/(1 - (0 + 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (0 - (-4 - -7 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0*s**6 + 7\/24*s**4 - 65*s**2 + 1\/21*s**7 + 0*s + 0*s**5 + 11\/2*s**3 + 0. What is the first derivative of g(c) wrt c?\nAnswer: 40*c**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 - 114.5. Let q = 1.5 + i. Which is the nearest to 2\/3? (a) 0.5 (b) q (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 244012?\nAnswer: 244022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4294 in -0.4, -2\/7, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsgiigigkigb. Give prob of sequence gg.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*a - 4*x, a = -3*a - x + 7. Let j(f) be the first derivative of -2*f**2 - 18*f + 11. Let p be j(-6). Solve -15 + p = a*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15223560 rounded to the nearest one hundred thousand?\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6120 = -2425. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen halves of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/3 + (-4)\/(-12). Let n = 2 + 0. Find the second derivative of u*h**5 - 9*h**2 - 4*h + 9*h**n wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = -2. Factor 4 + 3*i**3 - 4*i**3 - 6 + h*i**3 - i + 2*i**2.\nAnswer: (i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + 10 + 41 + -74?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17.79008ng?\nAnswer: 0.01779008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -445 + -102. Let w = -547.0000001838 - c. Round w to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 623\/(-178)*(-10)\/7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:43 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/2)\/r)**20)**(-3) assuming r is positive.\nAnswer: r**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2158, -4284, -6414, -8548?\nAnswer: -10686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 2*v - 5*v. Let n be -5 + (7 - 3) + (v - -3). Suppose -243 = -2*t + 5*h, 0*t + 2*h = -n*t + 278. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 - 188 + 139)*(0*r - 5*r + 2*r + 2).\nAnswer: 333*r - 222","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heceneeeeeensesne. Give prob of sequence se.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 4*s + 3. Give k(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/317 + 5452\/2853. What is the common denominator of m and -80\/99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = 231 - 242 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 16. Let n be (12\/(-15))\/(b\/(-15)). What is the remainder when (n - -96) + 15\/(-5) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 3. Let x(z) = -4*z + 5. Let a(d) = -7*v(d) - 5*x(d). Let q be a(-9). Solve q*f - k - 20 = k, 3*f = -3*k + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5153\/220598 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 20*z**2 - 18*z - 26. What is v(21)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547892092?\nAnswer: 2, 11, 12452093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by -33\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooooosoooo. What is prob of picking 1 s and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -487903, -1951742, -4391519, -7807234, -12198887?\nAnswer: -17566478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -5128\nAnswer: 25\/2564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 + 5*k**2 - 9*k**2. Let b(f) = 10*f. What is b(u(l))?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 43. Let x be p(0). Suppose -v + x - 18 = -5*u, 0 = 2*u + 10. Sort -5, -2, v.\nAnswer: -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 + -2)\/(2\/55*-1). What is the highest common divisor of 30 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2015\/11 - 183. Sort t, -1\/2, -3\/5 in decreasing order.\nAnswer: t, -1\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/28 and -31\/15719132.\nAnswer: 110033924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -45399343 divided by -11?\nAnswer: 4127213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3 + (-4 + 0 + 3)*(5 + 1 - 4) + 4 + 0 - 2)*(-2 + 2 - 1)*(-9*j + 27*j - 13*j)*(-4 - 5*j + 4).\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/18 - 261\/81. Let x be (-2)\/6 - 7\/r. Calculate the remainder when 63\/x + 4\/(-8) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - d)*(-3 - 1 + 6) - 11*d + 18*d + 17*d + d + 0*d - 4*d in the form l*d + m and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 817762 and 13112?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -141 - (-3 + 5 + 1). Let t = 269 + a. Let j = -82 + t. Calculate the remainder when j is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1.9. Let h be (2\/1404)\/((-22)\/1419). Let y = h - 1\/52. Is y bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(1323) + sqrt(1323) + sqrt(1323)*-2)*1)\/((sqrt(135)\/sqrt(5)*2)\/sqrt(3)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(y + 8*y - y)*(-255*y**3 + 112*y - 112*y).\nAnswer: 2040*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v**2 - 13*v. Let q(c) = 4*c**2 + 6*c. Suppose -d = -3*d - 26. Let h(a) = d*q(a) - 6*o(a). Let j(l) = -6*l**2. Give j(h(s)).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 214?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -25. Suppose 189 + 11 = 4*f. Let j = f + g. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7364416 divided by -3682208?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 - 23*o**2 + 17*o + 26. Let w(n) = n**3 + 8*n**2 - 6*n - 9. Let t(u) = -4*b(u) - 11*w(u). What is t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/2 + 5*t**3\/6 + 5*t**2\/2 + 3*t. Let y(z) = -3*z**2 - 3*z - 3. What is 3*r(l) + 5*y(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + 3.9?\nAnswer: -95.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + (1 - -2 - 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221.25 + 220.95. Which is the smallest value? (a) 3 (b) -0.04729 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 192*x + 1495 - 29190. What is the least common multiple of 70 and x?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0 + 2*t**2 - 4 + 15*t + 10 + 8*t. Let a(p) = -p**2 - 8*p - 2. Give 8*a(h) + 3*q(h).\nAnswer: -2*h**2 + 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 11, 19, 31, 47, 67, 91?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1 = -h, 2*q = 3*q - 5*h - 23 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:37 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*z - 27763 = -38628 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - 1 + 4 + 93*k - 49*k - 43*k in the form p + g*k**2 + f*k and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24740 - 5333. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 64 (b) 3 (c) 4 (d) -2 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.672 + 4.328. What is the third biggest value in 0.3, 1, u, -78?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79746734 - -79746662.999762. Let k = 71 + c. What is k rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (30 - 17) + -7 + -26 - 55?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < -57902.246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -83\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(68) + 0 + 0)**2)*6 + -1.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -9 - 3. Let k = 10 + x. Factor 7*m**2 - 3*m**2 + 5*m**2 + k*m**3 + 2*m.\nAnswer: m*(m + 1)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1692767\/349020 + 1\/17451. Calculate the common denominator of i and 23\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-99)\/(-15))\/((-33)\/(-385)*7). Let d = -4 - -1. Put d, t, -1 in increasing order.\nAnswer: d, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4055 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*i - 12105, -5*i + 3*w = -8287 - 11902. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -115693.\nAnswer: 21\/115693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256*o**3*s**3 - 1175*o**3*s**2 + 5*o**2*s**3 + 11*o - s**3 + 500*s wrt o.\nAnswer: -1536*s**3 - 7050*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 12. Let f be j(-16). Solve 0 = z - 4*v - 3, f*z = -8*v + 3*v - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1146994817?\nAnswer: 1146994817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54450863\/4 or 13612716?\nAnswer: 54450863\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63750.25 hours in microseconds?\nAnswer: 229500900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -12 - (-8)\/(3 + 5). Which is greater: y or -13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*-521.\nAnswer: 26050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 40.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u - 26. Let l(o) = -o - 3. Determine 6*l(d) - q(d).\nAnswer: -18*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-35))\/(0 + 1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 26. What is d(-23)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2144 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, -2, -62 in descending order.\nAnswer: 11, 2, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -52*d - 2. Suppose -240*g + 30 = -237*g. Let c(q) = 6*q**2 + q**2 - 16*q**2 + g*q**2. What is z(c(h))?\nAnswer: -52*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5 = -2*t, k - 4*k - 9 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(-1*sqrt(24)\/sqrt(2) - sqrt(12)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -28 (b) 4 (c) 0.034 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 3. Suppose -4*b + a = -0*b + 22, a - j = b. Let u = 3 - b. What is the greatest common factor of u and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x - 1. Let g(m) = m**2 - 3*m - 3. Let k(r) = -g(r) + 3*u(r). Let w(t) be the second derivative of 7*t**3\/6 + t. Give k(w(i)).\nAnswer: 98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 14. Let d be p(10). Solve 18 = d*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 - 2132211?\nAnswer: -2133002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - 6*v**2 + 3*v + 2. Give b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.16. Let u = j - 0.36. Let x = 0.3 - 0.5. Sort 5, x, u in decreasing order.\nAnswer: 5, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19912 = 2564*o + 8292 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(162)*1)\/sqrt(9) + sqrt(18))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/6 + x**2\/2 + 182*x. Let j(b) = -1. Give -2*j(g) - o(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000846231 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -9.5.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h - 15*h - 39*h)*(703*h**2 + 106*h**4 - 703*h**2).\nAnswer: -4134*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 778, 1621, 2526, 3493, 4522?\n\"Answer: 31*d**2 + 750*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-36) - 260\/(-56)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4293 and 156933?\nAnswer: 1412397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -9.8. Which is the nearest to t? (a) 2 (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = 12*b - 18*b. Suppose 0 = -7*s + 187 - 33. Calculate the highest common factor of b and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -4168257907.\nAnswer: -4168257906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5512.0328 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*k + k - m, 86 = 4*k - 2*m. Let n(q) = 6*q**2 + 0*q**2 + 35 - 15 + 4*q - 17. Let y be n(-1). Solve -y*c - 1 = k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 749282 or 749280?\nAnswer: 749282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 794143, 794141, 794139, 794137, 794135?\nAnswer: 794133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m - 49 = 26 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2883 and -2576?\nAnswer: -7426608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:29 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + l**2 + l)*(-4 + 5 + 10 + (-1 - 3 + 3)*(2 - 1 - 2)) as r*l + y + g*l**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230808.\nAnswer: 2, 3, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 3. Let a(k) = -4*k**2 + 6. Let z(u) = 6*a(u) + 13*x(u). Let i(m) = m**2 - 1. Suppose -8*h = -13*h - 30. Determine h*i(o) + 2*z(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j**2 + 3*j + 5. Let w = 39 + -41. Let b be q(w). Let m = b - -41. Solve -6*y = -2*y + m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -72.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**2\/4 - 114045*o - 16874553\/4 = 0.\nAnswer: -152023, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 12*u + 8, 9*o - 17*o - u = -13*o - 3*u + 92 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 349\/1140 - 3\/76. Factor 2\/15*h**2 + 2\/15 + k*h.\nAnswer: 2*(h + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (4 - 8) + 10. Suppose 10*d = 13*d. Let z be (d*(-3)\/(-12))\/1. Solve -y = -q*k + 1 + 11, z = -2*y - k + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/5)*(m*m*m**(-2)\/m*m)\/m*m\/m**(3\/7)*(m*(m\/(m**(5\/4)*m)*m*m)\/m*m)\/m*m*m**(1\/3)\/m**4*m**0*m**1\/m*m assuming m is positive.\nAnswer: m**(-649\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*h - 5 - 12 = 0, -2*l + 4*h = -16. Suppose 0 = l*y + s - 7, 0*y - 27 = -3*y + 4*s. Calculate the least common multiple of (-1 + 5)*(y + -1) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.019 - 5.019073775. What is d rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.075 - 5.125. Let k = 20.8 - s. Let z = 25.99999492 - k. What is z rounded to seven decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2100, 16871, 56976, 135081, 263852, 455955?\n\"Answer: 2111*h**3 + h**2 - 9*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmz when four letters picked without replacement from czjbccmziczmjmbccc?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586*m - 1765*m + 592*m + 587*m + 34*m**2.\nAnswer: 34*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 9209 and 9209 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*n = 726*n - 351*n - 1408 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269859, 269858, 269857, 269856, 269855, 269854?\nAnswer: 269853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 3*c**2 + 0*c**2)*(-4*c - 3*c + 6*c) - 586*c**3 + 259*c**3 - 325*c**3.\nAnswer: -650*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 111112081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 75 = -5*z, 0*s + s = z + 15. Let m = z + 30. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/50 and 2\/11 - (-4108)\/880?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.452 + 3.382. Let r = x - -0.07. Which is the second smallest value? (a) r (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1343499082 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6319*g = -6638*g + 42427 for g.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6 = -3*h, h + 0*h = y. Let p = 33 + -27. What is the second derivative of 2*o**4 - 5*o + y*o - p*o**4 wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - c**3 + c**2 - 35 - 4*c**2 - 39 + 14*c**3.\nAnswer: 12*c**3 - 3*c**2 - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 11. Suppose 0*g - g = 4*l + 10, 11 = -2*g - 5*l. Let x = g + c. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxxm when four letters picked without replacement from xmxprxxp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert daf71 (base 16) to base 14.\nAnswer: 194bcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-80)*-5)\/(1 + 245\/(-220)) + -5\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000359664119 rounded to seven decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2)\/x*x*((x\/x**(-8))\/x*x)\/x*x)\/(x\/x**(-6)*x**(6\/13)))**12 assuming x is positive.\nAnswer: x**(162\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 743636 - 743635.7900002. Let a = -43 + 43.21. Let u = a - g. What is u rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1255, 4782, 10595, 18694, 29079, 41750?\n\"Answer: 1143*c**2 + 98*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49802506 and -8.\nAnswer: 398420048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/6 - (-18)\/27. Let n be 1\/2*20\/s. Let w = 53.3 - 53. What is the closest to 0.1 in -3, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiodoiooodi. Give prob of sequence ido.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t + 48*t = -35. Let o(u) = -29*u - 49. What are the prime factors of o(t)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987579.2 millilitres to litres.\nAnswer: 987.5792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*d + 6*d**4 + 26*d)*(2 - 4 + 3) - 6*d**4 + 4*d**4 + d**4 - 2*d**4 + 4*d**4 + d**4.\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1317 and 26392888.55.\nAnswer: 26391571.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.23 * 4443.\nAnswer: -134311.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 67?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001000101111011111 - -10110?\nAnswer: -1001001000101111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.5 - 4. Let v = 0.1 - a. Let x = 1 - 1.1. What is the nearest to x in -3\/7, 2\/13, v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/23)*a**(2\/125) assuming a is positive.\nAnswer: a**(-329\/2875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 30*w + 4*o = -468, 0 = -2*w - 2*o + 206. Suppose -q - 6*b + 5*b = -23, -5*b = -4*q + 137. What is the remainder when w is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10107529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + -1.75. Let w = x - 3.95. Which is the closest to -0.1? (a) 2 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 10 - 4*c + c)*(-6*c + 0*c + 4*c).\nAnswer: 4*c**2 + 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let o = 95\/64 + -143\/64. Suppose -4*g + 14 = 2. Which is the closest to x? (a) o (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 0 + 0*h**2 - 1\/4*h**4 + 56*h + 0*h**3. Let v(t) = -42*t**2 - t. Determine g(v(o)).\nAnswer: -5292*o**4 - 252*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/310 - 3\/31. Let m = -3362.5 - -3362. Which is the smallest value? (a) j (b) -5 (c) 5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1498 = -5*t - z, 2*z = 4*t + 371 - 1575. Let j = t + -296. Solve -j*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 6. Find the third derivative of 2*r**2 - r**2 - 2*r**c + r**2 + r**3 wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -782*l**2 - 3*l + 8. Let j(u) = -390*u**2 - u + 3. Determine -2*g(p) + 5*j(p).\nAnswer: -386*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s + 2. Let t(o) = -6*o - 2. Determine -3*h(y) - 4*t(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -7*n**2\/2 - 6*n + 6. What is the derivative of j(y) wrt y?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 + 7468a2?\nAnswer: 746881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141717 and 11.\nAnswer: 1558887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let m(g) = -g**2 + 5*g - 5. Let t(j) = 3*j**2 - 18*j + 18. Let a(r) = 18*m(r) + 5*t(r). What is h(a(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10674\/(-30243))\/((-1)\/102)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w + 1163 = 3*j, -j + 876 = 3*w. Suppose w + 174 = 5*m - 3*g, 5*g + 20 = 0. Calculate the highest common factor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 44 = 38. Let l(d) = 2 - d - d + 3*d**2 + 5*d. What is the remainder when 78 is divided by l(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/9 - 404*p**2\/9 + 4*p\/9 + 404\/9.\nAnswer: -4*(p - 1)*(p + 1)*(p + 101)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - sqrt(405)) + -2 + sqrt(45) + 5 + 1)**2.\nAnswer: -24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*k**2 - 2*g*k*l**3 - 4*g*k*l**2*s**3 + 2*g*k*s**3 - 2*g*l**3*s**2 + g*l*s**3 + 14*k**2*l**3 + 19*k**2*s**3 wrt k.\nAnswer: 4*g + 28*l**3 + 38*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -7. Let r = m + 17. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.483709 - 0.066.\nAnswer: -2.549709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14*(-42)\/(-24)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - q - 1. Let w be l(1). Is 38\/(2\/(-6) + w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140103, -560396, -1260887, -2241576?\nAnswer: -3502463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -2)*(-1)\/(-10) - 1. Let p = 354 + -2833\/8. What is the third smallest value in v, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156281045 divided by -156281045\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221 (base 4) to base 13.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2608 + 99. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.113 litres in millilitres?\nAnswer: 63113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 3*a**2 + a - 1. Suppose -h - 21 = -5*o, -3*h - 2*h = -2*o + 82. Let i = -14 - h. Let q be 9 - 7 - 2\/(-4)*i. Determine c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203762156 divided by -2\nAnswer: 101881078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 + 76 - 8)*(0*g - 2*g + g + (2 + 11 - 2)*(-2*g + g + 2*g)).\nAnswer: 1540*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*l = -28*l - 1500. Suppose -5*z = -5*t - 265, 4*t - t = -2*z + 121. Let s = l - z. Solve 4*d - 54 + 18 = s*w, -d - 4*w - 16 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1372931544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 4*s**4 - 3*s**4 + (-2 - 4 + 4)*(-4*s + 4*s + 3*s)*(-2*s**3 + 0*s + 0*s) - 1 - 2*s**4 + 1 + (0*s**3 + s**3 - 2*s**3)*(2*s + 0 + 0).\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 225 + 195. What is the remainder when g is divided by 136?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 94859883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*h - 53*h + 5*z - 2, 5*h - 2*z = 19. Put -13, h, 5, 13 in decreasing order.\nAnswer: 13, 5, h, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*j - j + 75*j.\nAnswer: -69*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*i - 29535, s + 4*i - 3846 - 2061 = 0. List the prime factors of s.\nAnswer: 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**6 + 2*m**4 + 5402*m**3 - 4790*m**2 - 2 wrt m.\nAnswer: 360*m**3 + 48*m + 32412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -15738 smaller than -173109\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*i + i - 3*i + (0 - 1 + 0)*(-3*i + 0*i + 2*i) + 3*i - 3*i - 2*i in the form u*i + l and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22744217 - -6558\nAnswer: -22737659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222930 and 380790.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 0 - 2) + 1. Let v = -3878\/11 - -352. Which is bigger: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4148, -4149, -4150, -4151, -4152, -4153?\n\"Answer: -m - 4147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 7*w**3 - 7*w - 70*w**2 - 76*w**2 - 82*w**2 + 232*w**2 in the form m*w**3 + h*w + v + a*w**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/5 + 41*u**4 - 3362*u**3 + 137842*u**2 - 109*u. Factor t(i).\nAnswer: -4*(i - 41)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 804 + -804. Put 2, -10, q, -1 in ascending order.\nAnswer: -10, -1, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 109. Let p(d) = 74*d**2 + 6*d - 4. Let b be p(1). Suppose 4*c + 36 = 2*u, 4*u - 2*c - 2*c = b. Calculate the remainder when a is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -62, -1, -639 in ascending order.\nAnswer: -639, -62, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5 (b) 23\/22 (c) 0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 + 5*c - 3. Suppose g + 4*g - 20 = 0, 0 = 3*d + g - 31. Let m(f) = 3*f + d*f**2 + 2*f - 7 - 7*f + 13*f. What is -3*m(i) + 7*p(i)?\nAnswer: i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 11. Suppose 0 = -3*z + 2*z - h. Let u(b) = b + 1. Determine u(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 430 + -287. What is the least common multiple of 104 and y?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 243 = -5*a, 2*i - a - 153 + 36 = 0. Suppose 4*b = 30 + 50. Let p = i - b. Calculate the remainder when p is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Suppose y*c - c = 0. Let z be (-13)\/(-28) - (-6 - (-4 + 33\/(-12))). Do c and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -2\/9 (c) 1\/36 (d) -2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14946998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11554220 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41724924.\nAnswer: 2, 3, 151, 23027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3 + 272*c**2 - 10458*c + 79380 = 0 for c.\nAnswer: 10, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 23607895213565?\nAnswer: 23607895213564.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + y + (0 - 1 + 0)*(-5*y + 2*y + y) + 4*y - 3*y - 3*y)*(-5 + 1 + 2)*(-3 - 3 + 4).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47547 and 1703916?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 25. Let t = -4 + j. Let z = t + -14. Which is the closest to z? (a) 0.3 (b) -5 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -184 (b) -1\/3 (c) 0.1 (d) 5 (e) 4 (f) -1.796\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - 2) + 4 - (-50 - -47).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + s. Determine i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2620*f - 2617*f + 15 = 4*q, 2*f = -2*q - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, -375?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(70) + -1*sqrt(70)*-3))\/((3*sqrt(480))\/sqrt(3)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237 - -361. Is 31 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*((-10)\/55)\/(1\/(341\/(-124)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5*p - 2*p + 12, 2*y - 3 = 3*p. Let l(r) = -9*r**y + 4*r**2 + 10*r**3 - 3*r**2. Let o(s) = 20*s**3 + 24*s**2. Calculate 24*l(n) - o(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 - (-5)\/6. Suppose 0 = -f + 29 - 22. Suppose f*n + 6 = 4*n. What is the nearest to n in -2, y, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2228 - 2228 - 1479*f.\nAnswer: -1479*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*b + 43309, 0 = -5*b + a - 0*a + 72191. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.1079511.\nAnswer: 0.02159022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109888383.\nAnswer: 3, 11, 269, 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 24 = 3*p, -2*r - 228*p + 225*p = 24 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3537\/28 or -126?\nAnswer: -3537\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/((-2240)\/(-900))*(-2)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(-184 + 184 - 8*z) + 2*z + z - 5*z + (83 - 60 + 38)*(-4*z + 3*z - 4*z) in the form b*z + h and give b.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 299531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 27085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51.38 and -9.\nAnswer: -462.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6360000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**2 + 27*p - 12.\nAnswer: -3*(p - 4)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 34*m - 176. Let b be d(-7). Let k be 15\/10 - (-78)\/4*3. Calculate the greatest common factor of k and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 3, l: 1, t: 9}. What is prob of picking 1 g and 1 t?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -176602?\nAnswer: -176605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 49 + 551. Suppose v*p - 4 = 54*p. Is (p + 786)*9\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 72 = 9*i. Let x(m) = -3*m - 8 + 0*m - 1. Is 16 a factor of x(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595035 and 2205?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, b: 3, z: 5}. What is prob of picking 1 z, 1 c, and 2 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {y: 3, g: 1, o: 4, f: 5}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-10) - (90\/(-4) - -2). Suppose -7*c - 70 = -u*c. Suppose 0 = -c*m - l + 71 + 63, 4 = -4*l. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1020956, -1021018, -1021082, -1021148, -1021216, -1021286, -1021358?\nAnswer: -1021432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1\/18*-2). Let f(c) = -c**3 + 5*c**2 + 5*c + 5. Let b be f(6). Let o be b\/((-2)\/6) - -2. Solve -l = -0*u - u - 3*x, o*u - 5*x = 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.54 + -1.6. Let b = -5.06 - k. Let j = b - -10.5. What is j rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 2*g + 1. Let p be w(-3). Suppose -3 = -9*a + 24. Suppose a*k + 65 = -10*k. What is the biggest value in p, -2\/7, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -2\/45, -2, 0.1?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 27*x**2 + 63*x - 147. What is q(29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2. Let k(n) be the third derivative of n**4\/24 + 10*n**2. Calculate k(v(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7036 by -37.\nAnswer: 7036\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -163 * 871\nAnswer: -141973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423\/1692 + 29\/(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454, -630, -798, -958, -1110, -1254, -1390?\nAnswer: -1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 87*j**2 - 11907*j - 1248. Give f(161).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207 - 232.4. Let r = -25.3 - t. Which is the third smallest value? (a) r (b) -9\/4 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2938 = 9*r - 4*r - 3*b, 3*r - 4*b - 1754 = 0. Suppose 2*a - 1080 = -r. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202*y**4 - 2*y**2 - 376*y wrt y.\nAnswer: 2424*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + b**2 + 1 + (-5 + 5 + 11*b)*(-3 + b + 3) + (3 + b**2 - 3)*(2 + 2 - 5).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171 - -174. Let n be (-258)\/(-54) - 2 - i. Sort -1, n, 0.\nAnswer: -1, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5299605, 5299603, 5299601?\n\"Answer: -2*h + 5299607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 45. Let u(w) = -w. Let l(g) = g**3 + 16*g**2 - 5*g - 10. Let n(k) = l(k) - 3*u(k). What is the remainder when n(t) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 33*x - 120 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*o - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**7\/105 - o**6\/60 + o**5\/30 + o**4\/12 - 5*o**2 - 1. Suppose g(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45025.38 nanoseconds?\nAnswer: 0.00004502538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 3963*t + 3966.\nAnswer: -3*(t - 1322)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1110 + 2*s**2 - s**4 - 2*s**3 + s**2 + 1128 in the form n + t*s**2 + c*s**4 + r*s + v*s**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-98)\/21*18\/42*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7891712891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = 1 - 71. What is the lowest common multiple of v and (6\/3)\/((-6)\/(-93))?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-5))\/(-2))\/((-1)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255 and 24270420?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 219*z**4\/8 + 172*z**3\/3 + 262*z**2. What is the derivative of y(j) wrt j?\nAnswer: 657","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/5)*d*((d**8*d)\/d)\/d)**(-2\/37)\/((d*d**(-1\/9))\/d**(-2)*(d*d**(2\/5))**(-32)) assuming d is positive.\nAnswer: d**(13834\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2 - 1 + 4. Let z(g) be the first derivative of -2*g - 1\/2*g**2 - 13. What is -3*a(p) - z(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 3 - 3)*(10 + 5 - 4) - 6*h + 2*h + 2*h + 4*h + 14 - 14 + (h + 0*h - 3*h)*(3 - 1 - 1).\nAnswer: -55*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71554583 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 32730633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9)*z)\/(z**7\/z))\/((z*(z*z**5*z)\/z)\/(z\/(z*z**3))) assuming z is positive.\nAnswer: z**(-137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 - 4*d**2 + 4*d**2 - 4*d**2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043577um in kilometers?\nAnswer: 0.000000000043577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1542.7 + 1543.2. Which is the closest to 1505? (a) -5 (b) 1\/10 (c) g (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5305211ug to milligrams.\nAnswer: 0.0005305211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u - 3 + 4*u**2 + 3*u - 4 + 2. Let x(p) = 2*p**2 - 2*p - 2. Give -2*c(z) + 5*x(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19651234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 + -71. Let x(m) = 9*m. Let o(d) = -4*d. Let q(h) = f*o(h) + 6*x(h). Let c(k) = -107*k**2. Give q(c(w)).\nAnswer: -214*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z**3 + 4*z**2 - 8*z - 11. Let d(v) = 32*v**3 + 11*v**2 - 23*v - 31. Determine 6*d(r) - 17*u(r).\nAnswer: 5*r**3 - 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 3:51 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = 5*l + 2, 2*p = 3*l - 14. Suppose 0 = g - l*g + 11. Suppose -3*f + 2*f = -4. Solve f = -5*o - g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -35\/51?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*i = 0, 0*i + 25 = -5*i. Let y(r) = -r**2 + 6*r - 4. Let j be y(f). Suppose -5*c + j + 24 = 0. Calculate the remainder when 8 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*v + 4 + 3 - 3 + v + (3 - 3 - 1)*(3*v - 3*v - 2*v) - 1 + 1 + 2*v + 0*v + 12*v - 2*v to c*v + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10858 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1381 and 18376967.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -24. Suppose 0 = -r*n - 2*n + 1432. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 7*g - 15*g - 68*g - 127*g.\nAnswer: -216*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 3. Let l(n) = 3*n**2 + n - 3. Let t(v) = 5*a(v) - 6*l(v). Let q be t(5). Let m be q\/4 - (-9)\/(-12). Solve z = m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22451 is divided by 583?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 2*c + 0*c)*(407*c - 362*c + 345*c) + 0*c + 2*c**2 + 0*c + (0*c + 0*c - c)*(-2*c - c + 4*c).\nAnswer: -1949*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11. Let h(q) = 16. Let a(n) = -5*h(n) - 7*y(n). Suppose -10071*s + 10068*s = 4*c + 5, c = s - 17. Let j(d) = d - 13. Calculate s*a(g) - 2*j(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 6. Let l(c) = 5*c + 46. Let f be l(-6). Let q(z) = 7*z + p*z + 6*z - f*z. Let w(o) = 11*o**2. What is w(q(u))?\nAnswer: 99*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035867 rounded to 6 dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/2552)\/(((-3)\/(-63))\/((-52)\/(-91)))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 73 = 7*t, -84*c = -84*c + 4*t + 28 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*x = 991, -2*q + 4*x + 89 = -419. Is 54 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*a*p**2*r + 588*a*r**2 - 74*a*r - 93*p**2*r**2 + 55848*r**2 wrt a.\nAnswer: 66*p**2*r + 588*r**2 - 74*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 + v - 1. Suppose -5*g = -7*g + 10. Let u(c) = -2*c**2 + c - 1. Give g*u(l) - 3*a(l).\nAnswer: -l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 10*l**2 - 9*l - 24. Let q be 72\/76*76\/8. What is n(q)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (2 - 3) + 92 + 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**6\/10 + 27*k**5\/20 + 15*k**4\/4 - 25*k**3\/2 - k - 27. Factor a(s).\nAnswer: 3*s*(s - 1)*(s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2 + 6*s + 3. Let n(y) be the second derivative of -5*y**4\/3 - 3*y**3 - 4*y**2 - 3400*y. Determine -5*n(t) - 14*x(t).\nAnswer: 2*t**2 + 6*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -40 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156 - -235. Let q = 97 - n. Suppose 34 = 3*y - h, q = -3*y + 6*y + 3*h. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 25079*p - 25080*p + 5 = 0, 3*p + 7 = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2178 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 621 + -625 + (1 - -46)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1668 - -3010. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*p - 25, 3*p - 12 = 3. Sort a, 10, 1 in decreasing order.\nAnswer: 10, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 2*s + 1. Let k(w) = 5*w**3 - 7*w**2 + w + 1. Let c(x) = h(x) - k(x). Determine y so that c(y) = 0.\nAnswer: 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/120*(-1)\/1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2927304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**8*d)\/d**(-7))\/(d**(-4\/9)\/(d*d**(-1\/9)*d)))**(-11\/3) assuming d is positive.\nAnswer: d**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:08 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4787 + 4787.043958. Let m = 0.044 - x. Round m to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2 + 4*z**2 - 5*z**2 - 3*z**2. Let u(m) = 4*m**2 - 3*m + 3. Let n(q) = -5*q**2 + 4*q - 4. Let x(o) = 3*n(o) + 4*u(o). What is b(x(t))?\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 4*u - 8. Let c be s(6). Let b(n) = 5*n - 5. Let a be b(2). Let w(g) = g - 2 - 9*g + 4*g + a*g. Let o(d) = -2*d + 4. Calculate c*o(r) + 9*w(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99597.\nAnswer: 3, 33199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1203 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 17 - (-1 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-1))\/(49\/((-98)\/(-75)))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140 + -224. Let t = a - -80. Sort -1, 3, t, -2 in descending order.\nAnswer: 3, -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2187 + 8?\nAnswer: -217c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -24*k**2 - 878*k - 377. What is m(-33)?\nAnswer: 2461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 5*v**2 + 2 + 5*v + 0 + 10*v**2. Let d be u(-3). Suppose d*c = 3*c - 620. What is c rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20410219?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -556 + -6282?\nAnswer: -6848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5540245004 to the nearest integer?\nAnswer: 74433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 4*q - 28, 51*q - 21 = 58*q for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-1 - (-1704)\/10) + 6\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-3)\/12)\/(2\/(-45)*-15))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 1 - 5*t**3 + 0 - 3*t + 4*t. Let c be w(-1). Is c > -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*h - 3*w + 2*w, -5*h = 5*w - 10. Let l(o) = -o**3 + 12*o**2 - 9*o + 8. Let j be l(11). Is 2\/(1\/j*h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 0.2, -0.3, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 2*m + 2*m + (-5 + 1 + 3)*(5 - m - 5) - 4*m + 10*m - 4*m + (-2*m - 2*m + 2*m)*((-6 - 1 + 0)*(2 + 8 - 1) - 6 + 2 + 3).\nAnswer: 132*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.5 and 1049207.\nAnswer: 1049208.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 2*q**3 + 0*q**3)*(2*q**2 - q**2 - 3*q**2) - 39*q**3 + 39*q**3 - 13*q**5 + (-q - 3*q - q)*(3*q**4 - 5*q**4 + q**4).\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(175) + sqrt(175))**2*4 - ((sqrt(175) + 2)*-1 + sqrt(175)).\nAnswer: -80*sqrt(7) + 2806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 86517108 divided by -21629277?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r**5 + r**2 + r. Let o(h) = 28*h**5 + 12*h**4 - 2*h**3 - 21*h**2 + 4*h + 12. Let u(t) = -3*n(t) + o(t). Determine y, given that u(y) = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12475973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -616?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21189 - 12324 + 54703 - 3*x + 7*x - 21190 + 2*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -141650, -141658, -141668, -141680, -141694?\n\"Answer: -p**2 - 5*p - 141644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 39. Suppose -1 + 10 = c. Calculate the remainder when n is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**3 + 3*l**2\/2 - 126*l + 756. Solve m(i) = 0 for i.\nAnswer: -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 159, 163, 167?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 336*y + 96*y + 121*y - 6 + 122*y.\nAnswer: 3*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2420 and 2200?\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22273186 and 1300624?\nAnswer: 178185488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 4*z - 3*z**3 + z**3)*(-3 + 4*z + 3) + (0 - 1 + 0)*(0*z**4 - 3*z**4 + 2*z**4) - z**4 + 4*z**4 - z**4.\nAnswer: -5*z**4 - 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.52 + -30.52. Let q = 59.4 + v. Let b = 28 - q. What is b rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-352)*68\/34.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*o + 20 = 0, 5*f - 19 = o + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213281 is divided by 7276.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1496\/3, 3, 1\/11, 21\/5 in increasing order.\nAnswer: 1\/11, 3, 21\/5, 1496\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 7*f + 6 + 0*f**2 - 3*f**3 + 3*f**3 - 2*f**2. What is the lowest common multiple of 12 and n(4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921 minus -21289?\nAnswer: 23210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2121*x = -42569 - 33787 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -696112 >= -696112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 - 50516*b\/3 + 16840.\nAnswer: -4*(b - 1)*(b + 12630)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a**2 + 2*a + 10*a**3 + 17*a**3 - 26*a**3 to t*a**3 + i + g*a + w*a**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1000000010001110101010?\nAnswer: 1000000010001110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36376774?\nAnswer: 2, 7, 2598341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99852 by 53.\nAnswer: -1884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16587, -132782, -448161, -1062318, -2074847?\nAnswer: -3585342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91678*g - 3*g**2 - 91678*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 39 = -4*n - 2*o, -n - 4*o - 39 = 0. What is the common denominator of n and 3*(-56)\/(-60) - 2\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12935353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2427.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Suppose -4*c + 0*c + 8 = 0. Let m(o) be the first derivative of 2*o**2 + 5*o**2 - 12 - c*o**2. What is p(m(l))?\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 17*g + 192. Does 12 divide a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 446\/9 (c) 2172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 2811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44968 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -794 and 1.61.\nAnswer: -792.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647983585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.21456698 and 8.5.\nAnswer: 8.28543302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 7*p**2 + 8*p - 5. Let y be u(8). Which is the nearest to -1? (a) -1 (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 239 = -431 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*m**5 + 18*m**4 + 2239*m**3 - 3717*m**2 - 9*m + 68.\nAnswer: -1500*m**2 + 432*m + 13434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 9. Let j be g(-6). Let x(w) = w**j + w**3 - 3*w**2 - 2*w + 4 - 4 - 4. Let y be x(3). Calculate the highest common divisor of y and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from xdpxpxxixpipi?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.815572 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532088, 535774, 539458, 543140, 546820, 550498, 554174?\nAnswer: 557848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osia when four letters picked without replacement from {i: 2, a: 1, s: 1, q: 2, o: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(143) + -2*sqrt(143))*6)\/sqrt(3564) + 1)**2.\nAnswer: 2*sqrt(13)\/3 + 22\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28309527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -286.39977251 + 286.4. What is i rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8211399*s**2 - 4105669*s**2 - 4105733*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 0*l**3 - 3*l + 1\/20*l**5 + 0*l**2 - 1\/12*l**4 + 0. Find the third derivative of m(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, o: 4}. What is prob of picking 2 l and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {g: 9, c: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Let f be (-8 - -11)*z\/(-12). What is the nearest to 2\/9 in -0.3, -0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 35. Let a be 3 + 0 - (u - 2). What is the second smallest value in a, 0, 11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55\/39 - -14\/13. What is the nearest to h in 3, -3\/8, -0.07?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418845 times 444?\nAnswer: 185967180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -729399*i**3*s + 2*i**2*s + 28*i**2 + 4*i*s - 28*s + 3 wrt i?\nAnswer: -4376394*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2930729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) + sqrt(187) + -1*sqrt(187)*-2 - sqrt(187)) - sqrt(187))\/sqrt(11).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 227334.1um in centimeters?\nAnswer: 22.73341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - 2*k**2 + 2*k**2 + (1 - 1 + 3*k)*(2*k - 7 + 7))*(-4*k + 5*k - 2*k).\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.315741465 plus 39?\nAnswer: 464.315741465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -n + 7, 4 = 2*n - 4*v - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - 3 - (65 + -47).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**4\/5 - 46128784*l**3\/5 - 265983089164824*l**2\/5 + 184515136*l\/5 + 1063932356659328\/5 = 0.\nAnswer: -11532196, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*z - 11*z + 16*z + 8*z + 928 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 249 + -244. Let u be g + (-7 - (-2 - 0)) + 11. Solve -2*o + 0*o + u*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkfhfbbdbff. What is prob of sequence kh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -143. Let s = q - 113.7. What is s rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/13, -14, -50, -4 in decreasing order.\nAnswer: 3\/13, -4, -14, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24589912.\nAnswer: 2, 29, 83, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -4)\/(2 - (0 + -1)). Suppose o = 14*w - 5*w - 57492. Let d = w - 16488. Round d to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11316860 to the nearest integer?\nAnswer: 3364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12020011 (base 3) to base 6\nAnswer: 25351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85833 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(684) + -1) + sqrt(684) - (sqrt(684) - (-1 + sqrt(684)*-2 + sqrt(684) + sqrt(684)))) + 4 + -2)**2.\nAnswer: -240*sqrt(19) + 17116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/(a**(-4)*a))\/(a**(-11)*a**(-9\/7)) assuming a is positive.\nAnswer: a**(156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 17, 2\/19, -11?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 - 18*f**2 - 18*f. Let x be r(-1). Solve 4 = -2*c + h, -h = -x*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:47 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**3 - 4*g**2 - g + 2. Let n(m) = -6*m**3 + 4*m**2 - 2. Let u(y) = -4*n(y) - 5*q(y). Calculate u(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 - -152. Calculate the remainder when 55 is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 = 0, 3*h - 588 - 32 = 4*w. Suppose 0 = -49*b + 5 + 191. Suppose 4*f + g = 5*g + h, b*f - 218 = -5*g. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x + 1. Let z(v) be the first derivative of 5*v**2\/2 - 3. Let t(l) = 3*p(l) + 5*z(l). Does 15 divide t(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -175\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**2 - 73*v + 73*v - 5*v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 4*b + 22, 4*h = -18*b + 16*b - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.610104698 to one dp.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 12*m**4 - 76*m**3 + 80*m**2 + 208*m - 320 = 0.\nAnswer: -5\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooeoeeoewow. Give prob of sequence wo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 - 11?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29045620 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 1. Let a = -7 + 9. Let f be p(a). Let u = 283 - 162. What is the greatest common factor of f and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -246*c - 333 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28138 + 53154. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa3d (base 15) to base 13.\nAnswer: 305bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 130*m - 64614. What is o(497)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3.5, -1\/8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 486 and 16038.\nAnswer: 16038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2.4. Let p = -4.6 + n. Which is the second smallest value? (a) 1 (b) p (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.691099 centuries to years.\nAnswer: 669.1099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 22*q - 17*q - 68, -q - 5*p = -28. Sort 0.078, q, 1 in decreasing order.\nAnswer: q, 1, 0.078","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73010 divided by -1043?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from zoddodgzzzdzogo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2517 + -2516.948. Let j = -34625.051918 + 34625. Let o = m + j. Round o to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3271183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:08 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 2*l - 7. Suppose 4*m + 149 - 136 = 3*k, -k - 4*m - 33 = 0. Let t(p) = -4*p**2 - 5*p - 15. Give k*n(y) + 2*t(y).\nAnswer: 2*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 2*v - 24. Let w be s(-6). Solve -k + w = 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) + 1*sqrt(77) + sqrt(77))*-1*-6)\/((sqrt(84) + 3*(sqrt(84) - 1*sqrt(84) - sqrt(84)))\/(-3*sqrt(24)\/sqrt(2))).\nAnswer: -162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + p - 7*p - 1)*(4 - 6 - 16)*(-3*p + 0*p + p).\nAnswer: -216*p**2 + 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -169c - 470?\nAnswer: -1b1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 + 64*z + 70. What is the least common multiple of 52 and m(22)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 1. Suppose k - 5 = s, -5*k + 2*s + 16 = -6. Let w be k\/(-12)*6\/2. Let x(m) = 2*m - 3. What is w*x(y) + 3*g(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582771750 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 11:56 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*1\/3 + 25984\/336 is divided by 47?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 65375.19 tonnes?\nAnswer: 65375190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186\/14 + 8\/(-28) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*i**3 + 320*i**2 - i*z - 4*i - 284*z + 3269 with respect to i.\nAnswer: 276*i**2 + 640*i - z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/308 and -69\/369248?\nAnswer: 2584736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, r: 4, b: 3, j: 1, v: 2}. What is prob of picking 1 r and 2 a?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2067 + -2068. Is h smaller than -49\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6100.6 and 2.234.\nAnswer: -13628.7404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.48 - 89151.\nAnswer: -89148.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5949971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5169.02 rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijhhjnjsnsnsssssizh. What is prob of picking 1 z, 1 n, and 2 h?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4\/4 - w**3\/3 + w**2\/2 + 9*w - 32. What is f(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, e: 1, c: 6, l: 3, o: 3, q: 4}. Give prob of picking 1 q, 1 c, and 2 o.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*l - p = 74*l + 1651, -4*l + 6590 = 3*p. What are the prime factors of l?\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*b**2 + 3 - 3 + 2*b**2 as t*b**2 + x + m*b and give t.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (2 - (-10 - 0))) + 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3888*b*q**3 - 152*b*q - 116*b + 4*q**3 - 2*q**2 wrt q.\nAnswer: -23328*b*q + 24*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -356.35 - -343. Let d = -13 - l. Let y = -0.05 + d. Do y and -1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 8035?\nAnswer: 803a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35482*n**3 + 18399*n**3 + 17063*n**3.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3928894 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-18)*288\/320*15\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15 + 0.14. Suppose -4*j + 0*j = 16. Sort 1\/2, w, j in decreasing order.\nAnswer: 1\/2, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1463881 and 0.1.\nAnswer: -146388.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 293 = -277*l, 48*r - 43*r - 23 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**8\/336 + 5*j**4\/24 - 3*j**2\/2 + 1. Let i(l) be the second derivative of y(l). Find the second derivative of i(r) wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 2. Let n(p) = 10*p**3 - 24*p**2 - 14. Let f(w) = 9*w**2 - 4*w**2 - 2*w**3 + 2 + 0 + 12 - 11. Calculate c*n(y) + 14*f(y).\nAnswer: 2*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/42 + 2383762\/(-777). Let x = -19 - h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -5. Let n = -25.155 - -26.155. Let l = -13.9 + 14. Which is the closest to n? (a) -0.4 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p**4 - 2*p**4 - p**4)*(2 + 2 - 3) - 37*p**4 + 793*p**4 + 34*p**4 to s + f*p**2 + t*p**4 + i*p**3 + b*p and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s - 1. Let w(j) = -9*j + 12. Determine 4*b(t) + w(t).\nAnswer: -21*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4)\/(3\/(-4)). Suppose 5*n + 4*g = 27, 21 = d*n + 3*g + 2*g. Differentiate n - 16*q**2 + 4*q**2 + 14*q**2 wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 77*c**2 + 125*c + 200. Give u(-40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.995285 + -7.46714. Let b = s + 0.462705. Let m = -10 - b. Round m to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from equhooeouuuuueuoh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = o - 15. Let f(v) = -5*v**3 + 3*v**2 - 2*v + 4. Let c be f(-3). Let n = 236 - c. Calculate the highest common divisor of o and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -101110000111000000010000101?\nAnswer: -101110000111000000010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1\/((-3)\/10)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1508, 3238, 5174, 7316, 9664, 12218?\n\"Answer: 103*w**2 + 1421*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1265 and 216997?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/27*2*3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -100731462 to the nearest one hundred thousand.\nAnswer: -100700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*(s**(-1\/7)*s)\/s)\/s)**20\/(s**(-7)\/s)**(-1\/8) assuming s is positive.\nAnswer: s**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171037.\nAnswer: 17, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1194184 by 1.\nAnswer: -1194184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120012222202000 + -11?\nAnswer: -1120012222202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7583431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 93721.46 millennia?\nAnswer: 9372146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170182807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 + 59 = 0. Let i(h) = -h**2 + 11*h + 2. Let u be i(p). Suppose u + 21 = a. Is 24 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*t, -5*t = 2*g + g + 35. Let c be (g + 1)*2\/2. List the prime factors of 3 + -7*(c - -3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/12, 58, 0.1, 1, 2\/7?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 + -0.15. Let b be -2*(-1 + (-8)\/(-10)). Put b, w, 4 in descending order.\nAnswer: 4, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 12. Suppose -5 = g - 51. Suppose -g = -5*u - 1. What is the remainder when m is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 w when four letters picked without replacement from {w: 2, h: 1, z: 10, r: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 3 + 1)*(-5 + 5 - 4*n) - 1 + 1 + n - 2*n - 1 - 1 + 1)*(1 - 1 + 2) to b + p*n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:23 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 17. Let r(w) = -1 - 26*w + 22 - 21*w + 48*w. List the prime factors of r(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/105)\/((-26)\/(-273))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - b. Suppose -2*w + 4*w + 124 = -5*r, 0 = 5*r - 3*w + 139. Let n = r - -28. Calculate d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3 = -5*k, -2*u = 3*k - 1391. Suppose -976 = -3*y + 4*b, b = 4*y - 619 - u. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 333.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2687*d + 1826*d - 38*d to the form s*d + i and give s.\nAnswer: 4475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**2 + 0*m**6 + 2*m**6 + 2*m**6 - m**6 wrt m?\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 415.\nAnswer: 11620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 9*g - 7. Determine x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 711309 and 69396?\nAnswer: 2845236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8621 = -14*x + 5211. Calculate the highest common factor of x and 1216.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*n - 111*n = 840. Solve -n*i + 8 = -52*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d**2 - 17*d + 22. Give y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177 - 6 + 1)*(3*w**2 - w**2 - 4*w**2 + (w - 2*w + 3*w)*(0*w - 6*w + 4*w))*((-5 + 6*w + 5)*(-3*w - 4*w + 5*w) + w**2 + 0*w + 0*w).\nAnswer: -12012*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -o + 3, -6*o + 10*o + 5*g = 11. Which is the closest to 1? (a) 3 (b) -9\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (12 - 0) + -5 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 133*g**2. Let u(s) = -4*s**2. Calculate l(u(m)).\nAnswer: 2128*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l - 32. Let m be (-1)\/(-4) + (-1)\/l. What is the third biggest value in m, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 189*m + 3894. Does 9 divide r(103)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1488 = -24*p - 47*p + 47*p - 38*p for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29146, -58309, -87472, -116635?\n\"Answer: -29163*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45602 + -1?\nAnswer: -45603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 4.008385.\nAnswer: 4.008385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-2)*(-6)\/(-9). Let g be ((-15)\/(-6))\/((-35)\/10 - -4). Suppose 2*u = 3*t + 3, -10 + 15 = -g*t - 3*u. Sort -2, t, -3, l in ascending order.\nAnswer: -3, -2, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -5, 25 = a - 50*t + 40*t for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 1 - 1 + (0 - 2 + 3)*(-1194 + 1194 - 40*y) - y + 2*y + y + 0*y + 0*y + 2*y.\nAnswer: -34*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 269, 529, 783, 1031, 1273, 1509?\n\"Answer: -3*t**2 + 269*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*g**5\/7 + 141786*g**4\/7 - 203326*g**3\/7 + 57096*g**2\/7 + 4568*g\/7 = 0.\nAnswer: -2\/31, 0, 1\/2, 1, 1142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 58, 60, 54, 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*f**2 - 1451*f - 1451*f - 1414*f + 4276*f in the form x + i*f + q*f**2 and give q.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*k**3 - 55*k**3 + 161*k**3 + 157*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5195, 2\/83, -5, -1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-198)*(-2 - 42\/(-15)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -4, -1, 1, -2469 in ascending order.\nAnswer: -2469, -4, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*u + 5*u + 308. Solve c - 4 = 3*m, -m = -5*m - 3*c - u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-3 - sqrt(13)) + sqrt(637)*2.\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002898040751 to 6 dps.\nAnswer: 0.002898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673.942 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -83*r - 1540. What is u(-20)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 + 3*r**2 + 3*r + 4. Give g(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g + 5*s = 1, 3*g - 4*s - 13 = 0. Suppose -g*o + 4 = -5. Solve -5*k + o*d = -35, -k - 3*k + d = -21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 9:16 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19646, -19663, -19692, -19733, -19786?\nAnswer: -19851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l + 27. Suppose -38*d + 43*d = -5*v - 55, -d - 5 = 0. What is u(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2483*u + 106646 = -106892 for u.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 5*w**4\/24 + 461*w**2. Let y(i) = i**3 - 3*i**2 + 3*i - 2. Let c be y(2). Let g be (c - 1)\/((-2)\/2). Determine o(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373379415317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 6205*i**2 + 1890520*i + 21553180.\nAnswer: 5*(i - 626)**2*(i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. Suppose -2*o + o = 2*q - 10, 2*o - 15 = -w*q. Suppose -a + 12 + 4 = o. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**5 + 114*h**4 - 544*h**3 + 642*h**2 + 549*h - 756 = 0. Calculate h.\nAnswer: -1, 1, 3, 84\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbb when three letters picked without replacement from ssssccbbscbscceb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 - 75054*g**2 + 7773477*g - 7698426 = 0.\nAnswer: 1, 103, 24914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 20*o + 229. What is t(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 - 32 + 38)*(3 + n - 3)*(4 + 1 - 4).\nAnswer: 115*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 201671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1195094, -1195431, -1195766, -1196099, -1196430?\nAnswer: -1196759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*z + 35. Let r = -5 - -6. Solve -2*d + z = r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002105118979 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232 and 348?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -18 - 14 - (-5 + 5 + -2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**4\/2 + i**2 + 27195. Let v(j) be the first derivative of -j**4\/4 - j**2\/2 - 1. Give -4*m(d) - 9*v(d).\nAnswer: d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -53*d. Let v = -42 + 49. Let x(i) = -5*i**2 + 12*i + 12. Let o(b) = 6*b**2 - 14*b - 14. Let q(y) = v*x(y) + 6*o(y). Give q(u(p)).\nAnswer: 2809*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6 + 175*m - 9 - 83*m - 8 - 91*m. Give n(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12456)\/(-720))\/173)\/((-4)\/90).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 284 - 278. Suppose z = -0*z - 15. Let c = z + 21. Solve c = -y*v + 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*m = -14, 6*m = 4*d + 2*m - 16. Which is smaller: 71 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcdcccddnk. What is prob of picking 1 k, 1 c, 1 n, and 1 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1651.7 and -61086?\nAnswer: 62737.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*i - 3*x, 0*i - 4*x + 41 = i. Suppose 3*q - 5*g = 34, q = 5*g + 7 + i. Solve -3*n = 2*r + 7 + q, -2*n - 14 = 5*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27379733*s**2 - 6283407*s wrt s?\nAnswer: -54759466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k = -45*k - 2*p - p, 4*k + 4*p = 48 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.39 - 1.33. Let a = l + 0.54. Let b = 754\/7 + -108. What is the second smallest value in a, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 7. Let d(m) = -4. Let c(r) = -5*d(r) + 3*t(r). Let b be c(1). Let j = 34 + b. Calculate the greatest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 24 - 2*w**2 - 3*w**2 + 22 - 6*w - 45. Let u(g) = -g**2 - g. Suppose -2*m = -2*p + 2*m + 18, -5*p + m + 9 = 0. Calculate p*j(t) - 4*u(t).\nAnswer: -t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3795 + 260 = 0. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 35024187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z. Let t(w) = 10*w. Let v(k) = -4*f(k) + 3*t(k). Let l(n) be the third derivative of n**5\/20 - 10*n**2. Give l(v(a)).\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 85841101 to the nearest 1000000.\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1012*v**5*z**2 - 2*v**3*z**2 - 7*v**2 + 65*z**2 wrt v?\nAnswer: -60720*v**2*z**2 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 1. Let z(i) = -16*i**2. Determine z(y(h)).\nAnswer: -144*h**2 - 96*h - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 11 - 31. Let p = -0.1354 + -0.0646. What is the biggest value in 6\/7, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-39)*r**6)\/(r*r**(6\/23)*r**(1\/2)) assuming r is positive.\nAnswer: r**(2035\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - ((sqrt(121) - sqrt(121)*4*2) + sqrt(121))) + (4*sqrt(121)*2 - sqrt(121)))\/(2*(sqrt(99) - (sqrt(99) + 2*sqrt(99))*5)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73\/205 - 10\/41. Let v(g) = -2*g**3 + 12*g**2 - 4*g - 15. Calculate the common denominator of v(5) and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3370 (base 11) to base 3.\nAnswer: 20002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9282)\/455)\/((-3)\/520)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -202. Suppose 363 + n = 4*v. What is the highest common factor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -20.9. Let q = 2.5 + h. Let g = q + 18.0000056. Round g to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684350171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*h**4\/3 + 124*h**3\/3 - 148*h**2\/3 - 364*h\/3 - 40 = 0. What is h?\nAnswer: -5, -1, -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -409, 5, -3 in ascending order.\nAnswer: -409, -5, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -2981?\nAnswer: -297a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2.23 (b) 51 (c) -5 (d) 0.02 (e) 3 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1216 + 3736. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103445068 by -3298.\nAnswer: -31366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -157 + 222?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 11 = -4*q. Solve -q*b = -0*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 30. Suppose 3*f + 2*l = 79, -5*l + n = 11. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n**3 + 2*n**2 + 4*n + 59. Let k(p) = 17*p**3 - 4*p**2 - 9*p - 116. What is -9*a(o) - 4*k(o)?\nAnswer: 13*o**3 - 2*o**2 - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138430 = -364*o + 361*o + 2*a, 2*a - 92280 = -2*o. What is the ten thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21585, -43946, -66307, -88668, -111029?\nAnswer: -133390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 - w**2 + 12*w**2 - 19*w**2.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.2. Let h = -0.1 + c. Let m = h - -0.2. What is the nearest to m in -4, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 550 = -5*q. Calculate the least common multiple of q and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1, -216, 6 in descending order.\nAnswer: 6, -1, -27, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*z + 3. Suppose z*g = -g + 6. Find the second derivative of 3*l - l + g*l**3 + 0*l**3 wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*p + 130*p + 1744 = -704 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3138 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -1. Let l = c - 3. What is the second biggest value in 0.4, l, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**8\/10080 + u**7\/420 + u**6\/45 - 31*u**5\/60 - 30*u**2 + 1. Let y(h) be the third derivative of k(h). Factor y(i).\nAnswer: 2*(i + 2)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/16 and 79\/114?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + 0.4. Suppose 51*s - 52*s + 12 = 0. Suppose 0 = -s*z - 19 - 5. Which is the smallest value? (a) z (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*z - 52*z - 3416581. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/2 (b) -33 (c) 1\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.3851 and 16.\nAnswer: 17.3851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1744, -5211, -10988, -19075?\nAnswer: -29472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8 - 2*b**3 + b - 17*b**2 + 19 + 32*b**2 - 17*b**2. Is i(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 22 = -3*n - 74, n = 3*d - 64. Let j be 45\/(-6)*d\/(-25). What is the third derivative of -b**6 - 6*b**j - 152*b**2 + 146*b**2 wrt b?\nAnswer: -840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181064 or -429?\nAnswer: -429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/(-261) - 170\/1071\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + x**3 + 10*x**3)*(13*x - 25*x - 23*x) + 3*x**4 - 3*x**4 + x**4.\nAnswer: -244*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (12 - (8 - (7 + -1)) - 0)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/48*(-78)\/(-26).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 9:18 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 180 = -w. Let u = w + -34. Solve -5*z = 0, -4*x - u*z - 5 - 15 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -176\/31?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 48*g + 148. Calculate l(-45).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 326863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 4*l + 3. Let d be g(3). Let i(x) = -x - x + x + d. Determine i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.466013um?\nAnswer: 0.000005466013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from {a: 1, o: 2, g: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 244\/(-495) - 6\/(-30). Let t = r + -707\/198. Calculate the common denominator of -61\/8 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(325))*-4 + 4 + ((sqrt(325) - -3*(sqrt(325) + sqrt(325) + -2)) + sqrt(325) - sqrt(325)) + 6*(sqrt(325) + 1).\nAnswer: 8 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 36*a - 25. Let f be i(-17). Let p = f + 0. Suppose 3*d + 2*d = -15. Sort d, -5, p.\nAnswer: -5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5981 - 5677. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19.48901 tonnes?\nAnswer: 19489010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (5*(sqrt(19) + sqrt(19)*2 + -4)*1)**2.\nAnswer: -600*sqrt(19) + 4680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 1600 = -72*r. Which is the third smallest value? (a) r (b) 1\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14124822?\nAnswer: 2, 3, 2354137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -110222 (base 3) to base 14\nAnswer: -1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(55)\/((sqrt(110) + sqrt(110) + sqrt(110)*4)\/sqrt(10)) + (sqrt(2420) - -3*sqrt(2420))\/sqrt(4).\nAnswer: 4 + 265*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 3*n + 1254464 = -11*x, -x - 5*n + 250876 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 143\/(-33)*(-2 + 4 - 5). Suppose d*k - 8*k = 125. Solve 2*q - 7*q = -k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (57 + -58 + -1 + 7). Solve 5 = -2*i - g, 6*d + 21 = 3*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 2*v + v)*(-379*v + 869*v - 1619*v).\nAnswer: 6774*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/2)*r*r*r**0*(r**(1\/4))**(-21\/4) assuming r is positive.\nAnswer: r**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/((24\/15)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 = -67*j + 1606. What is the greatest common factor of 9077 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 3:52 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2)*p**26)\/(p**(-28)*p**(3\/4)\/p) assuming p is positive.\nAnswer: p**(213\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*l - 18*d + 14*d, 0 = l + d - 6. Solve -p = -5*b - 11, -5*b - 5 - 10 = -l*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23321929 divided by -331?\nAnswer: -70459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swssswwwswsswwss. What is prob of picking 3 w?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - 0.3. Suppose 3*o - 873 = -5*v, 5*v - 304 = -4*o + 860. Let p = -1739\/6 + o. Put 0, p, r in increasing order.\nAnswer: 0, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/24 + 9*m**3\/4 - 35*m - 12. Solve p(f) = 0 for f.\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 42 = -8*v. What is the second derivative of -v*z - 7*z - z**4 - 5*z**4 + 3*z**4 wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -112*l - 83*l + 156*l + 10. Let d(s) = 2*s. Calculate q(d(f)).\nAnswer: -78*f + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 754 + 757 - 1511 + 918*o to the form i + f*o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y - 95. Calculate g(12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 18676.\nAnswer: 9\/9338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7568 (base 14) to base 15.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ictbtzbi. Give prob of sequence tic.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 38 = -5*c, 5*v + 32*c - 29*c = -57 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3371681, -3371682, -3371683, -3371684, -3371685?\n\"Answer: -n - 3371680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -5 + 2)\/(-1 - -2). Let v be (u\/(-6))\/((-1)\/((-3)\/2)). What is the nearest to -1 in v, -1, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 18*u**2 + 820*u - 5597. Give q(12).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-43)\/(-15) - (1 - -2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -9) + (-61 - -28 - -32) - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21726 by -3621.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421 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 w = 3 + -2.99. Let r = -5.01 + w. Let c be (-7 + -4 + 2 + 7)\/(-1). What is the closest to 1 in c, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 + 58726*t**2 - 10777175296*t\/5 - 10777468928\/5.\nAnswer: -2*(t - 73408)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-2 + 1)*1. Suppose -m*s + s = 1. What is the units digit of 5 - 2 - (s - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a - 12. Let i be w(-6). Suppose 2*t + 2*t - 96 = i. Calculate the highest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 47 = x + c, 17 = x - 4*c. Suppose -2*o + 5*o + 2*u - 21 = 0, 5*u + 10 = 5*o. Find the second derivative of x*p - 27*p**o + 11*p**5 + 6*p wrt p.\nAnswer: -320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 15) to base 13.\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -943, 4, -190?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaazzaz. Give prob of sequence aa.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 17*g**2 + 22*g + 48. Calculate the lowest common multiple of 16 and q(17).\nAnswer: 3376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {c: 2, v: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40616)\/1)\/(-8) - (1 + 0). Calculate the greatest common factor of 108 and r.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 14 = -o, -50 = 5*c - 149*o + 144*o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 4 + (11 - (-3 + 9)). Suppose 53*c - 49*c + 28 = 2*v, -3*v + i = 2*c. Solve -2*w = -5*r, -6 = 4*r - 4*w + v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 0. Let d = n - -11.6. Which is the nearest to 1? (a) 4 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*(a*a*a**9*a*a)\/a)\/(a\/(a\/a**(3\/16))))**(3\/5))**24)**(-31) assuming a is positive.\nAnswer: a**(-61659\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -0.3. Let g = w - -0.2. Which is the closest to -2\/3? (a) 2\/7 (b) g (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:13 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -27. Let n be (((-64)\/12)\/(-8))\/(d\/27). Let v be 7 - 7\/((-21)\/n). Solve -v = c - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.014 - 1.986. Let h = -4 - b. Let z = 9.14 - 0.14. Is h greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10823.845 to the nearest 100.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/3, 1\/4, 11, 3.\nAnswer: -1, -1\/3, 1\/4, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 6032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/3*-6 + -2 + -2. Let r be 28\/(-6)*(-6)\/l. What is the lowest common multiple of -75*(-1)\/r - 10\/(-35) and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0\/p)**(-14\/5))**(-2\/9)\/((p*p*p**0*p)\/p*p*(p\/p**5*p)\/p)**(-1\/4) assuming p is positive.\nAnswer: p**(-157\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a + 12 = -5*d, -3*d = -5*a + 20. Solve 0 = -5*w - 5*z, -w - 2*z + a = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21348027229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 472163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18042787816 and -0.3.\nAnswer: -18042787816.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = j - 10, -5*j + 4*j - 6 = -5*v. Suppose -2*d + 99 = -13. Suppose 0 - d = j*l. What is the common denominator of 63\/5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, s: 9}. What is prob of picking 3 s?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61714889287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5494182 rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-9))\/(-1) + 13863\/18. Let q = 805 - f. Find the common denominator of q and 7\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3)\/k*k*k)**(-10\/9)\/((k\/k**(-6))\/k*k**(-1\/8)) assuming k is positive.\nAnswer: k**(-1349\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmdd when four letters picked without replacement from {r: 1, d: 2, m: 1, l: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjbxzlbbl. Give prob of sequence lb.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/(-20))\/(6*(-3)\/60). Suppose -3*b = -k*b + 15. Is b at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11339 is divided by 83?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 3, u: 4, p: 2, y: 2}. What is prob of sequence yy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a factor of 25410070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*n - 24963, -18708 = -29*n + 26*n + 4*i. What are the prime factors of n?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + 19\/7. Suppose c*v = 2*k - 5*k + 30, 3*k + 5*v = 36. Calculate the greatest common factor of k and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is aa7538 (base 14) in base 9?\nAnswer: 11783253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 16) to base 6.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 4*v**2 + 599*v**3 - 1147*v**3 + 540*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 34. Let h(s) = -4*s**2 - 2*s + 2. Let n(k) = 3*k**2 + 3*k - 3. Determine y*h(i) + 2*n(i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16092.23mm in micrometers?\nAnswer: 16092230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 46 - 42 = 0. Solve u = 5*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13415, -20904, -33373, -50822, -73251, -100660?\nAnswer: -133049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 4:10 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65924*x**3 + 2257*x**2 - 6*x - 2.\nAnswer: 395544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4\/1459, -1.707.\nAnswer: -4, -1.707, -4\/1459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138 - -183. Suppose -7*j = 2*j - l. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -5. Let j = r + 2. Let m(b) = -b**3 + 2*b**2 - 2*b - 2. Let o(w) = w**3 - w**2 + w + 1. Let z(s) = j*o(s) - 2*m(s). Factor z(f).\nAnswer: -(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 2*r + 20, -22*x - 31 = -25*x + 5*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 691288071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 + -2?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.303629cm?\nAnswer: 53036290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 536 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 27 = -12. Let i(z) = -7*z**3 - 18*z**2 - 41*z - 30. Let u(q) = 3*q**3 + 9*q**2 + 21*q + 15. Let m(h) = n*u(h) - 6*i(h). Factor m(t).\nAnswer: 3*(t - 5)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**2 - 71920234*z - 143840476 = 0.\nAnswer: -2, 35960119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 0)\/(1\/((-6)\/4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 6*b**2 + 11*b + 2. Let g be u(7). What is the derivative of -g*z**3 + 6 + 12*z**3 + 12*z**3 wrt z?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 691713, 1383315, 2074917, 2766519, 3458121, 4149723?\nAnswer: 4841325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/(3003\/22)*5 - (-2)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 13 = -4*s, -a + 16 = 5*s - 0*s. Calculate the remainder when 5 is divided by 6 - (s - (-2)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 18, 17, 0, -39, -106, -207?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:56 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 27936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + n = -p - 10, -n = 0. What is the units digit of (3\/4)\/(p\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k. Let w(n) = -58*n + 1. Calculate w(z(s)).\nAnswer: 348*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = -0*y. Let c(g) = 3*g**2 + 0 + 6 + 2*g**2 - 4. Let v(n) = -16*n**2 - n - 7. Calculate y*c(s) + 2*v(s).\nAnswer: 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21555\/30*(-3 - -5) is divided by 710.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h + 0*h)*(22 - 29 - 10).\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k + 11 = 2*t, 4 = -4*k. Suppose 120 = -t*l + 8*l. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2 - 4. Let p = 6 - 9. Let h be v(p). Suppose j - 4*o - h = -j, -38 = -2*j + o. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 + 0.16. Let b = h - -0.1. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -5*m**3\/6 - 618*m. Let l(h) = 17*h**2. Calculate p(l(u)).\nAnswer: -85*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -6514?\nAnswer: 6511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -3*t + 7*f + 16, -5*t = 4*f - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (6 + (1 - -6 - 11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -446 + 7?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrr. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -2\/302855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, m: 4, a: 3, r: 1}. Give prob of picking 1 x, 1 a, and 2 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 5*w - 169. Suppose 56 = 5*i + 4*a, 3*i = i - 2*a + w. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*b = -3, 0 = -3*s - 4*b + 5*b + 31. Suppose 20 + 25 = s*x. Calculate the highest common factor of 25 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17974 rounded to 3 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 54 - 1 - (-77 - (1 - 106))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 321563, 321554, 321531, 321488, 321419?\n\"Answer: -p**3 - p**2 + p + 321564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 154 - 117 - 125 + 2*v in the form o + c*v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-5))\/((-96)\/(-160))*0. Solve v = 5*p + 9 + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*b = -186*b + 5*d + 12, -d = 4*b - 85. What is the highest common divisor of b and 9177?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 2, t: 2, w: 1, p: 1, o: 2}. Give prob of picking 1 h and 1 o.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -290 + 294. Suppose -3*b + 4*t - 5 + 9 = 0, 0 = -2*b + 4*t + w. Solve b = -31*x + 29*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 486 and 316872.\nAnswer: 316872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 - (4 + 21\/(-7 + 4)). Let y = -18.46 + 0.46. Let j = y - -18.2. What is the smallest value in t, -0.1, j, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 n when three letters picked without replacement from nbnbnnbbbzaqnna?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 191685?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*(-2254)\/69. Let o = j + 121. What is the remainder when o is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + -2.06. Let w = m + 2. Let o(n) = n**3 + 9*n**2 - 9*n + 6. Let p be o(-10). Which is the third biggest value? (a) w (b) 1\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 3*r - 9. Let n = 86 + -82. What is l(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -30*b**2 + 115*b + 193. Calculate k(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3526529520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, 425, 605, 805?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63225999833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 16 = -0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Suppose -2*h + 8 + 2 = b. Suppose 58 = h*r - 62. Calculate the remainder when r is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39930562, -39930563, -39930564?\n\"Answer: -y - 39930561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/48)\/((-3)\/54). Let v be (-69990)\/((-15)\/f) + 2. Round v to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150985837 to the power of 1\/3, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51947 or -51942?\nAnswer: -51947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1 + -4 - -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d - 39. Let a be n(3). Let r(x) = -4*x**3 + 9*x**2 - 5*x. Let m(u) = -5*u**3 + 10*u**2 - 6*u - 2. Let f(p) = a*m(p) + 4*r(p). What is f(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0317 + 0.1647. Let p = l + 0.067. Is p >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**2\/4 - 435*h - 1737\/4 = 0. What is h?\nAnswer: -579, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 211?\nAnswer: 42.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, 3, 5, 0, 24, -4, 2 in decreasing order.\nAnswer: 237, 24, 5, 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-21)\/6 - (-110634)\/12. Let f = q + -2957. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000048474 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 11. Let r be g(8). Let p be 3\/((-2)\/(-4)*r). Let w = 0 - 0. Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5)*l*l**6)\/(l\/(l**(2\/3)*l)*l**(-6)))**(6\/23) assuming l is positive.\nAnswer: l**(422\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53565, 107139, 160727, 214335, 267969, 321635?\n\"Answer: r**3 + r**2 + 53564*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-12)\/w**(-17) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-8))\/(z**11\/z))**9\/(z\/z**(-2\/27)*z**(3\/4)*z*(z\/(z\/z**(1\/5)))\/z*z**(-8)) assuming z is positive.\nAnswer: z**(-79393\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3553*m**3 - 604 - 89*m**4 + 2*m + 3573*m**3 - 4*m + 4*m**5 - 7125*m**3 wrt m?\nAnswer: 80*m**3 - 1068*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6*f**2 - 6 + 2 + 19)*(58 - 120 + 77).\nAnswer: 90*f**2 + 285","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 40624314.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 24, -21, -5\/7, -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -2 - (12 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -134*c. Let l(i) = 14*i + 121. Let s(j) = -5*j - 35. Let z(u) = 2*l(u) + 7*s(u). Give z(t(m)).\nAnswer: 938*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 5:25 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-117)\/(-162) + 15\/(-270))\/(-3 + 1). Let l = 1 - 0.7. Which is the nearest to 1\/3? (a) 1\/2 (b) -3 (c) i (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*r + 3483 + 5578 = 0 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26829 = 87*m - 33876 for m.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -34. Let d = y - -72. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206 - 183. Calculate the greatest common factor of 2 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83.36 + 2.14. Let q = z - 85. Which is the nearest to 0? (a) -3 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 71 = -9*y - 8*y + 13*y, 0 = -17*y - 5*j + 274 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2 + -16))\/(3\/4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -93\/5, 19, -2, 0.5, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/1215 (b) -2\/75 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 - -72 - 234 - -93?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*l - 11. Let m = l - -16. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f - 15. Let j be m(-11). Suppose 0 = 77*h - 86*h - 72. Let i be ((-6)\/h)\/(j\/48). Solve -15 = 5*o + s - 5*s, i*s + 15 = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 6 - 3)*(2 - 5 - 1)*(4*q - 4*q + 3*q**2) + (-3*q + 3*q + q)*(-5*q + 5*q - q) to the form j*q + l + r*q**2 and give r.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 - 544 + 544.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/22)\/s)\/(s*s**(8\/3)))\/(((s*s\/(s\/s**(-18\/7)))\/s)\/(s\/(s**(-1\/29)\/s*s))) assuming s is positive.\nAnswer: s**(-12385\/13398)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 3*z - 7. Let f be k(-5). Let j(r) = -r**3 + 4*r**2 + 3*r - 3. Calculate the remainder when j(f) is divided by (-2)\/(-11) + (-20)\/(-11) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**4 - 32*b**2 - 1 + 34*b**2 - b - 5 + 3 + b**3 to w + m*b**4 + h*b + x*b**3 + s*b**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4\/3)*89\/801.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03954 to three decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.27? (a) 0.2 (b) 5.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140331 < 25087299\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2282794067 and 9473?\nAnswer: 9473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5840130 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 8 = r - 9, -r - 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1009*t**2 - t + 3*t - 496*t**2 - 487*t**2.\nAnswer: 26*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 7}. What is prob of picking 1 s and 2 p?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + 2 - 3 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24441 is divided by 21289?\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - 18 - 20) + (-9 - -4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyd when three letters picked without replacement from yyydydyyyy.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let h(v) be the first derivative of -2*v**3\/3 - 653*v**2\/2 + 385. What is a(h(b))?\nAnswer: 2*b**2 + 653*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-33)*145200\/(-765600)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55498850 divided by 5.\nAnswer: -11099770","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 6*d - 1674. What is the remainder when d is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59719 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((6\/(-7))\/(32\/(-224)))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*p + 17. Let w be p\/(-12) + 57\/18. Let r(m) = -m**2 + m - 1. Let j(g) = -2*g**2 + 3*g - 3. Determine w*r(u) - j(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 3*u - k + 7 = 0, -u = -4*k + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, -0.3, 27082, 23.7?\nAnswer: 23.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 2 + 9 + -12 + 7. Suppose 4*u = o*u + 6, 5*b = 3*u + 21. Sort 2, -3, 1, b in increasing order.\nAnswer: -3, 1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65341*i**3*z + 1676*i**3 - i**2*z + i*z - 188592546*z wrt i?\nAnswer: 392046*i*z + 10056*i - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33478 is divided by 429?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137 + 139. Solve 3*g - 9 = -3*u, -h*g + 9 = u + 2*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1 + 1 + 2 + 3*k + 5*k. Is 19 a factor of w(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Suppose 2*c = 5*p + 54, -c + y = 2*p - 16. What is the common denominator of -35\/22 and (0 + -3)\/(8\/c)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2152 - 2150. Solve -i*d - 11*c + 8*c - 1 = 0, -3*c - 17 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82350 and 36?\nAnswer: 164700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75381 is divided by 6851?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 894573.72 minutes in days?\nAnswer: 621.23175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9052850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(7) - (sqrt(7) + -2))*-5 + (sqrt(84)*1)\/sqrt(12)).\nAnswer: -6*sqrt(7) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - z = -12632, -2*g + 25248 = -23*z + 21*z. Suppose 51*b = 40*b + g. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36293548*s**2*x*y + 2*s**2*x - 2*s*x*y + 23*s*x - 2*s*y - 275*x - 2*y + 5 wrt s.\nAnswer: 72587096*x*y + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z - 12. Let q be 9\/(-2)*z\/(-6). List the prime factors of -1 - ((-21)\/3 - q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22573625993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = 5*z - 3*z, 5*f - 4 = -z. Let x be z*-2*(50\/4 + -4). Calculate the highest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -341651 - -3033?\nAnswer: -336616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2016, 2014, 2002, 1974, 1924, 1846, 1734, 1582?\n\"Answer: -a**3 + a**2 + 2*a + 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*d**5 + d**4 - 1250*d**2 - 9316*d wrt d.\nAnswer: 400*d**3 + 12*d**2 - 2500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(891)*3 - -5*(1 + sqrt(891))**2.\nAnswer: -18*sqrt(11) + 4460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3345 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118268629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6199 divided by -3?\nAnswer: -6199\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 != 486\/2027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-6))\/((-47)\/((-5264)\/280))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + g. Let f(s) be the third derivative of -s**5\/12 + s**4\/6 + s**2. Let w = -2 + 3. Let q be 2\/((-4)\/14) + 3. Give q*c(l) + w*f(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 - 54 + 56 + c**3 - 9*c**4 to h*c**4 + x*c**3 + y + b*c**2 + j*c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) - 108\/8. Let s be (1 - -26) + -4 + 2. Let h = w + s. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**5\/20 - 5*r**4\/12 - 5*r**3\/6 + r**2\/2 + 12*r - 5. Let n(v) be the first derivative of o(v). Give n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 29. Suppose 0 = 12*a - o*a - 6. What is the closest to -1 in 3, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g - 24. Let n = -37 + 52. List the prime factors of v(n).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*2\/(3 - 1). Let j(o) = 5*o - 4. Let r be j(s). Suppose -3*u - r = -61. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/9))**(12\/19)\/(f**(-6))**(-18))**(-30) assuming f is positive.\nAnswer: f**(61600\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + z**2 + 0*z**2)*(5 + 3 - 2) + 7*z**2 + 0*z**2 - 3*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9\/n*n*n*n**(-10)\/n*n)**(-1\/51)*(n**1)**(-46)*(n**1)**(-1\/14) assuming n is positive.\nAnswer: n**(-645\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6 = -3*b, 5*b - w = 18 + 2. Calculate the remainder when 5 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*k + 11049 = -49*k. Suppose 4*x + 58 = -4*m + 14790, -m + 5*x + k = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + g + 2)*((-3 + 5 - 1)*(3 - 2 - 3) + 2 + 2 - 2 - 40 - 14 - 24)*(-4 + 3 - 1)*(5 + 3*g - 4 - 4*g).\nAnswer: -156*g**2 + 156*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67? (a) -7 (b) -2\/3 (c) 5 (d) -5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) -3\/7 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*m + g + 48, -4*g - 64 = -4*m. Let o(s) = 4*s**2 + 16*s + m + 0*s**2 - 17*s. Is o(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4 - 6. Suppose 2*z - 20 = -w*z. Suppose z*n = 3*n + 4. Solve -6 - 2 = 2*m - n*g, 0 = -2*g + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) 6 (c) 0.1 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + ((sqrt(231)\/sqrt(7))\/sqrt(3))**2 - ((sqrt(1584) - (sqrt(1584) + 4))*4)**2) + 5.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 47, 108, 233, 446?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/1549 - -125229\/61960. Calculate the common denominator of o and 81\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnjzzzqznzqz. Give prob of picking 1 q, 2 n, and 1 j.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)\/(g*g**(-2\/9))*g*g**(-6)*g**3)**(-1\/18) assuming g is positive.\nAnswer: g**(35\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(-2*(sqrt(9) - (sqrt(9) + sqrt(36)\/sqrt(4) - sqrt(9)) - sqrt(9))).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*n + 40*n + 74088 = 0. Does 49 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(80) + 2 + -5 - (-1 + 0 + sqrt(80) + -6*(sqrt(80) + 1)))**2.\nAnswer: 288*sqrt(5) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92386 = 31*w - 102375 - 236678. Calculate the highest common factor of 545 and w.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {m: 1, f: 6, p: 2, w: 4}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p. Let w(d) = 4*d. Let x(j) = 2*h(j) - 3*w(j). Let k(y) = -4*y + 3*y - y - 7*y. Calculate x(k(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 361998 and 401544.\nAnswer: 47783736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:47 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 1 + 3 - 5*c + 4. Suppose x = -6*d, 104*x + 3*d = 106*x + 15. Calculate r(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 - 59 = -2*a. Calculate the smallest common multiple of 22 and a.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2641 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 15274834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -11316619\/4 and -2829156 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - 26*a - 195. Calculate the lowest common multiple of t(-7) and 10.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2358 and -47\/9947916.\nAnswer: 1303176996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 602 divided by -910\nAnswer: -43\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 308556402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*z + 30*z + 23*z + 15*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -32*t + 39*t. Let z(h) = 371*h - 85*h - t - 5. List the prime factors of z(1).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 3*t + 3. Let r(j) = 2384*j**2 + 61*j - 21. Let q(x) = -r(x) - 2*v(x). What is the second derivative of q(a) wrt a?\nAnswer: -4772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -331, 36, -2817 in descending order.\nAnswer: 36, -331, -2817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2908624297 to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v - v)*(-2*v**2 + v**4 + 2*v**2) + (23*v - 8*v + 34*v)*(63*v - 63*v - v**4).\nAnswer: -52*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 97?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 18*f - 22*f. Is (f\/1)\/(((-42)\/(-2595))\/7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37752 is divided by 69.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -51 (b) -2\/17 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 2. Let s be i(4). Let y be 1 - (s + 1) - -13. Let l = y + -7. Calculate the remainder when 10 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let w(b) be the second derivative of 2*b**3\/3 - 69*b**2 + 6983*b. Determine w(l(m)).\nAnswer: -4*m**2 - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 44 - 34 + 25 + (0 - 2*u + 0)*(-1 + 0 - 1) - u + 1 + 10 - 2 as f*u + c and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let f = -5 - -6. Is f less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1212*r - 1148*r - 3 - 3*r**2 + 2*r**2 - 2*r**2 to y*r + c*r**2 + z and give y.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 160*x + 40125.\nAnswer: -5*(x - 75)*(x + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 224.2 - 224. What is the nearest to -1\/4 in -2, 2\/15, l, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 13 + 31*t**2)*(-6*t + 20 - 15 - 7) to l + r*t**3 + u*t + p*t**2 and give p.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14390, -29344, -44296, -59246, -74194, -89140?\nAnswer: -104084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -361 in -1\/4, -4\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*z - 2, -a - 5*z = -15. Let c be 4 + 2\/(0 + -2). Suppose 0 = c*b - 9. Solve 5*r + a = 0, -2*v + b = 2*r + r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kddd when four letters picked without replacement from dddkdkdk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*c - 33061 = 25*c + 40749. Is c less than or equal to 600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63831, -63767, -63663, -63519, -63335, -63111?\nAnswer: -62847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*r = -7154, 30 = -17*r + 12*r. List the prime factors of v.\nAnswer: 2, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:09 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - x + 3)*(-1 - 5 + 4)*(23*x + 5*x**4 - 23*x).\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 263*c**2 - 262*c**2 + 1 - c - 2. Suppose 1 = -2*x + 3, -3*x = 4*q - 15. Let a(h) = 5*h**3 + 3*h**2 - 3*h - 3. Calculate q*j(z) - a(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 18*n + 32. Let x be r(-4). Does 27 divide x\/(-400) + 7119\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(3\/20)*q*q*(q*q\/(q*q\/(q\/(q*q*q**(-13\/4)))*q)*q)\/q*q*q*q*q*(q**7*q)**22 assuming q is positive.\nAnswer: q**(922\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-98)\/56*(-6)\/(-14). Put x, 0, -3 in ascending order.\nAnswer: -3, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/84 - ((-105)\/(-20))\/(-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19062550 rounded to the nearest ten thousand?\nAnswer: -19060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**3 + 13152*m**2 - 791289*m + 778140 = 0?\nAnswer: 1, 60, 4323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 440159461 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29213, -116929, -263153, -467879, -731101, -1052813?\n\"Answer: n**3 - 29260*n**2 + 57*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1177 = 51450*v - 51343*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1931886150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944 less than or equal to 2951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (48\/(-32904))\/((-4)\/18). Let i = -6133 - -6132. Is p < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12b3485 + a?\nAnswer: -12b3479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*l**2 + 97205*l - 1266062 with respect to l.\nAnswer: 36*l + 97205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1265 and 18150473.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-10) - 0)*4. Is j greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(o**2 + 4*o**2 - 4*o**2) - 1 + 1 - 3*o**2 + (0*o + o + o)*(0*o - 4*o + 5*o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169 + -167. What is the nearest to -2\/11 in b, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11397.17164 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*y - 3*j + 4, -16 = -y + 3*j. Suppose -5*c + 70 = -6*w + 3*w, -3*w = -3*c + 48. Let z = c + -7. What is the greatest common factor of z and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4))**(1\/39)*(v*v*v**(-4\/5))\/(((v**2*v)\/v*v)\/v) assuming v is positive.\nAnswer: v**(-213\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 7*t**3 - 8*t**3 + 11*t**2.\nAnswer: -2*t**3 + 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101)\/20 + (-50)\/(-40) - (3 - 4).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.714694 to three dps.\nAnswer: 5.715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080783 days in minutes?\nAnswer: 116.32752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 4, -1\/3, -46, 2 in decreasing order.\nAnswer: 4, 2, -1\/3, -34, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 29*m**7\/840 - 7*m**4\/4 + 79*m**3\/6 + m**2\/2 + 31*m. Let r(d) be the second derivative of g(d). Differentiate r(w) wrt w.\nAnswer: 87*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -0.2, -0.1, -1.85?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2535 - 2534.5. What is the biggest value in 4\/5, 995, -3\/7, x?\nAnswer: 995","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/15 (b) 24 (c) 0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:06 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 145946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 0.17, 4.704?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g + 251 = 4*x - 66, -8*g + 60 = -13*g + x for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1932, -7664, -17204, -30552?\n\"Answer: -1904*v**2 - 20*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*b - 6, -u + b + 8 - 1 = 0. Suppose -2*v - 5 = -u*v. Let l(o) = 4*o + 4. List the prime factors of l(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3 - c + c**2 + 7*c - 3*c. Let x(h) = -h**2 - 5*h + 6. Let n = -53 + 137. Let w be 4\/(-14) + (-228)\/n. What is w*x(q) - 5*t(q)?\nAnswer: -2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 21*l**2 + 23*l + 9. Suppose 0 = -11*x + 19 - 52. Let g be 1070\/(-50) + x\/5. Let t be i(g). Put -4, t, -1 in descending order.\nAnswer: -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22824167 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42808193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007527654 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/(-27) + 0 - 1. Let z = 6 - 2. Let p be z\/(-14) + (-8)\/(-14). Which is bigger: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*p - 2061 - 627, -y = p - 1336. What is the remainder when p is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220277733 minus 25?\nAnswer: 220277708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 12*c + 19. Let l be 5 + -3 - 5\/((-10)\/4). Let h(p) = -p - 3. Let j be h(l). What are the prime factors of f(j)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39727 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/7 + 4\/14. Let u be (6\/4)\/(1 + -4). Sort r, u, 2\/5 in descending order.\nAnswer: 2\/5, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 26 = -4*l + 2*l, -5*j + 50 = 2*l. Let p(y) = j*y**2 + 7*y + 3 + 4 - y**3 + 2*y**3. Let o be p(-7). What is the greatest common factor of o and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 17*b - 20. What is the remainder when 38 is divided by i(-14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:44 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144 + -145.7. Let s = w - -55.7. Let v = s + -52. Which is greater: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7836 + 5898 = 46*p - 16534. What are the prime factors of p?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9588 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.16 + -7. Let w = 0.06 - l. Let h = -41\/84 - -11\/12. Which is the biggest value? (a) 4 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10212122 (base 4) in base 15?\nAnswer: -58b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(704)*2 + 4 + sqrt(704) + -2 - -3*-4*(sqrt(99) - (sqrt(99) - sqrt(99)*2))*1)**2.\nAnswer: -480*sqrt(11) + 25369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -3074338.1.\nAnswer: -3074338.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 4*p + 2*p)*(4 - 2 - 4)*(5 + 0 - 3)*(-2 - 3 + 3) as d*p + h and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 872545*c**2 + 2*c*d + 23*d + 268680 wrt c?\nAnswer: 1745090*c + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 - 0. Let z = y + -0.1. Let m = -0.45 - z. Which is the closest to -1? (a) 2\/5 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + m + 1)*(0*m + 3*m - 5*m) - 10*m**2 - 2*m**2 + m**2 to the form o*m + p + f*m**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 16*f + 41. Determine x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-7) + 6 + -6. Let y = 84 + -83. What is the nearest to y in 4, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let y(q) be the first derivative of -q**3\/3 + 9*q**2\/2 + 7*q + 7. Let c(n) = 6*j(n) + y(n). What is the remainder when 32 is divided by c(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 345299 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 5*p - 4*p)*((-2 + 4 + 0)*(-1 + 2 - 3) + 3 - 6 + 4) - p + p + 2*p + 2*p + 0*p - 5*p in the form k*p + g and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*s + 24, 2*n + 38*s = 33*s + 7. Let z(u) = n - 11 - 33*u + 25*u. Let b(t) = 17*t**2. What is b(z(r))?\nAnswer: 1088*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20896 divided by -16?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212566 divided by 106283.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 p when three letters picked without replacement from {t: 1, p: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z - 30 = -39*z. Suppose -4*j + z*w = -1746, -2*j = -j + 2*w - 430. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -12*h. Suppose -4*y - 2*d = -4598, -6*y + y + 5730 = -d. Let a(n) = y*n - 1147*n + 7*n**2. Determine a(j(c)).\nAnswer: 1008*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.834 - -0.134. Let t = 4 + -10. Let l = x - t. Sort 3, 1\/6, l in descending order.\nAnswer: 3, l, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -46*b**2 + 88*b + 20. Let n(j) = -166*j**2 + 308*j + 70. Let f(a) = -5*n(a) + 18*w(a). Calculate f(-21).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*q = 447*q - 3*k + 21, 28 = 21*q + 4*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + n = -d + 1, 19 = -2*d - 5*n. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/32 and -89\/808.\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/5 - 584*t**2\/5 - 37822*t\/5 - 7448 = 0. Calculate t.\nAnswer: -196, -95, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5793.\nAnswer: 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 304*p**2 + 1775*p - 3405. What is h(146)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99829\/33 - -33577\/11. Factor -v*h + 1\/3*h**2 + 1681\/3.\nAnswer: (h - 41)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(13) + sqrt(13))*-2*-1)**2 - (1*sqrt(104)*4)\/(sqrt(200) + (sqrt(200) - (sqrt(200) + sqrt(200) + sqrt(200)*1)) - sqrt(200)).\nAnswer: -238*sqrt(13)\/5 + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.6 - -17. Are p and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103206 - 67955. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-8)*((-126)\/(-252))\/((-1)\/52).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 0*s**5 + 0*s**3 - 1\/120*s**6 - 1\/210*s**7 + 0*s**4 - 1 + 0*s + s**2. Let h(m) be the second derivative of q(m). Factor h(j).\nAnswer: -j**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*y = 57*y - 124*y - 72 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -20472*l - 2120. Let h be y(10). What is h rounded to the nearest one thousand?\nAnswer: -207000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 3*k = 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6112 (base 11) to base 13\nAnswer: 3908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6007932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 28. Suppose -58 = -3*b + a, 3*b + a - 1 = 61. Calculate the highest common factor of b and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*(l\/(l\/(l\/(l**12\/l))*l))\/l)*l**27)**(2\/3) assuming l is positive.\nAnswer: l**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3890 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.246 * 28.7.\nAnswer: -7.0602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 99 + 111. Is q at most as big as -85\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 2*v**2 + v. Let o(i) = 7*i**3 - 4*i**2 - 2*i - 6. Let n(f) = o(f) + 2*w(f). Let h(m) = 10*m**3 - 5. Calculate -6*h(a) + 5*n(a).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 0.09, 4\/3, -29\/2 in ascending order.\nAnswer: -15, -29\/2, -3, 0.09, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -5*y**4\/12 + 215*y**3\/2 - 1250*y**2 - 9*y - 56. Factor h(a).\nAnswer: -5*(a - 125)*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 996, 985, 974, 963, 952, 941?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10bd (base 15) to base 14\nAnswer: -141b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a6 (base 15) to base 16.\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029493.793 rounded to the nearest ten thousand?\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5517 = -3539*x + 167220 - 13482 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 2)*(-5)\/(-2). Suppose 4*a = -5*q + 6*a - 1, 4*q = -4*a + 16. Let c = q - -2. Which is bigger: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481712873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 37, 5, -4, 146, -2 in increasing order.\nAnswer: -5, -4, -2, 5, 37, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 - 3)*(-7845*y**2 - 4954530*y + 4954530*y) as w + t*y + r*y**2 and give r.\nAnswer: -23535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -9. Let f be 919 - d\/(7\/(-4)). Let u = -506 + f. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide -20*((-217)\/4)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q - 6*q - 10*q - 5 + (-1 + 0 + 3)*(q + 0 + 0) in the form j + p*q and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 1 + 0)*(5 + 80012*d - 6 - 80253*d) in the form s + f*d and give f.\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 21. Let o be (-67)\/(-3) - 1\/n. Suppose j + j = o. Do 12 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvb when three letters picked without replacement from fbrrxvvyvbrr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 17, l: 3}. Give prob of sequence llvv.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1 - 3*v - v**3 - 820*v**2 + 812*v**2 - 17*v + 10. Does 19 divide n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y = -54*y + 38. Solve 8 = y*s - 0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-2) + -3)*365\/10. Let h = 3 - o. Let j = h + 50. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 11*n + 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j*s**2*z**2 - j*z**3 + 5*s**2*z**3 - 19*s**2*z - 2*z**3 wrt z?\nAnswer: -6*j + 30*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.9548 + -0.0452. Which is bigger: d or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*c + 3 - 30, 3*i - 3 = -2*c. Suppose i*g - 6 = 6. Solve 8 + 8 = -g*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**7\/210 - 11*l**5\/60 + 7*l**2 - 6*l. Let u(f) be the first derivative of c(f). Find the third derivative of u(y) wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by -1317462.\nAnswer: -53\/658731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*t**6 + t**2 - 121*t wrt t?\nAnswer: 6720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 6, y: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 1, 2, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1579 + -32. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209 + -202. Let y(d) = 4 + 8*d**2 + d**2 + d - d**2 - d**3 - 1. What is the remainder when y(m) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1143 or 1142?\nAnswer: 1142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + j + 3*x - 3 = 0, 3*x = -j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 137*j**4 + 135*j**4 - 2*j + 4*j - 7*j**2 - 2 as u*j**2 + m*j**3 + i*j + w*j**4 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 454015 = -3*q, -2*y + 7*q + 908015 = 4*q. Round y to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1009736659, -1009736660, -1009736661?\n\"Answer: -a - 1009736658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 23*d**5\/60 + 49*d**2 + 1. What is x(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741\/38*2\/9 + (-24)\/12?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165*b**2 + 62*b - 302 + 302 + 99*b**2 + 86*b**2 to s + r*b + v*b**2 and give r.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**2 - 7*t - 4. Let c = -6 + 4. Let b(o) = -2*o - 2. Let l(a) = a - 1. Let p(s) = b(s) + l(s). Calculate c*z(i) + 5*p(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 4*z**2 - 3*z**2 - 5*z. Let r = -71 + 67. Let s be t(r). Let l(k) = k**3 - 4*k**2 + 3. What is l(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p - 1657*p**3 + 1659*p**3 + 32*p - 61*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/4*(-72)\/126\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 11*b**8\/112 + 35*b**4\/12 + 56*b**2. Find the second derivative of u(x) wrt x.\nAnswer: 660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 90 = -0*u. Let l(z) be the first derivative of -z**4\/4 - 8*z**3\/3 + 2*z**2 - 13*z + 286. Is l(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 692046 - 692040. Let g = -4 - -12. Solve 6 = g*f - v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 8, -0.33, 0.4, 5, -637?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.77 + -0.93. Let o = -5 - h. Which is the second smallest value? (a) -4 (b) o (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 9*t**4\/4 + 5*t**3 - 153*t**2\/2 - 351*t - 867. Factor n(g).\nAnswer: 3*(g + 3)**2*(3*g - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3400*u + 649381. What is i(191)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -z + 590, -4*z + 547 + 1765 = -4*x. Suppose -p = 91 - z. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 11 + 10 + -15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/(r*(r\/(r**(1\/2)\/r))\/r))\/r))**(1\/14)*(r*r**(-3\/5)*r)\/r*r*r**(1\/3))\/((r\/r**1)**(-12\/5)*(r\/r**5)\/(r*(r*r**5\/r*r)\/r)) assuming r is positive.\nAnswer: r**(719\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 11*j - 1. Let u be q(11). Suppose 69*h + 249 = 387. Let i = -2 + 2. Which is the smallest value? (a) h (b) 4 (c) i (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2154720*c**3 + 3656957*c**2?\nAnswer: -12928320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - -1.7. Let l = 26869.5977 - 26872. Let y = l + o. What is y rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 3\/2*s**2 + 3*s**3 + 39 + s. What is the tens digit of r(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + (-26)\/10)*-5. Suppose 0 = -3*j - d + 38, j - d - x*d - 4 = 0. Let y(t) = t**3 - 5*t**2 + 4*t + 4. Let k be y(4). Solve j = k*o - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -14. Suppose 4*l + 0*l = -32. Is g equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1681 by -41.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738184?\nAnswer: 2, 53, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*u - 944*u - 372*u + 461*u + 391*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -285916\/49 - -5835. Which is the smallest value? (a) -2 (b) -3 (c) 4 (d) n (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9770?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175 - -183. List the prime factors of 169 - 2*4\/y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 13*v - 19. Let o be i(8). Suppose -x + l + 17 = -o*x, -3*l - 24 = 3*x. Sort -5, -1, -4, x in decreasing order.\nAnswer: -1, x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 396249 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 38. Calculate the least common multiple of ((-8)\/z)\/(-4)*-3 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*v + 5. Suppose 0 = -b - v*q + 11, 4*b - 128 = 2*q - 42. Calculate the remainder when (12\/8 - 2)*(-158 - 0) is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*(2 + sqrt(605)) - 1*(sqrt(605) - 3*sqrt(605))))**2.\nAnswer: -704*sqrt(5) + 9744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6471062 and 104?\nAnswer: 25884248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(75\/156))\/(((-53)\/159)\/((-25)\/30))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35019805 + -152161051924\/4345. Let m = q - 1\/395. Let d = 6 + -1. What is the smallest value in m, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h**3 + 4*h**2 + 5*h - 2. Let g(w) = 14*w**3 - 5*w + 3. Let y(u) = -u**3 - 2*u**2 - u. Let s(l) = -g(l) - 3*y(l). Calculate 8*q(a) - 5*s(a).\nAnswer: -a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38648, 84153, 129658, 175163, 220668, 266173?\n\"Answer: 45505*j - 6857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91791595?\nAnswer: 5, 7, 113, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65, -57, -49, -41?\n\"Answer: 8*z - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1136 + 1131 - 2238 - m. Give n(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1.02 (c) 17 (d) 0.4 (e) 0.04 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*o = -359, -253*o = 3*c - 248*o - 208. What is the remainder when 77 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10856*z**2 + 48*z**4 - 1 + 10856*z**2)*(1 - 1 - 1)*(24 - 24 + 14*z) + 4*z**5 - 6*z**5 + z**5.\nAnswer: -673*z**5 + 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 561 and 700315?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 257*f**3*g**3 - 7*f**3*g + 6623*f**2*g**2 - 119*f*g**3 wrt g?\nAnswer: 1542*f**3 - 714*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 30*m**2 + 270*m - 29. Calculate o(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 129.177999 from -156.\nAnswer: -285.177999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 72 = -0*f. Let x be (10 - 19)*(-4)\/f. Find q such that 1\/2*q**x - 1\/4*q + 0 - 1\/4*q**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*c**3*g**3 + 23*c**3 - 35*c**2*g**2 + 2441*g**3 wrt g?\nAnswer: -78*c**3 + 14646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*z - 2, 5*z = -0*p + 3*p - 34. Solve -4 = -p*k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-2 + (-14 - -4 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 + (-52)\/(-14). Let d be (-15)\/(-10) + 2\/q. Suppose d = 2*t - t. Solve t*n = n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/(-6))\/(-5)*((-4625)\/(-50) + -93).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -168+3\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78 + 41 - 234*z + 37 to the form t*z + s and give t.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 351, 0, -408, 4, -4 in decreasing order.\nAnswer: 351, 4, 0, -4, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6304362m to centimeters.\nAnswer: 63.04362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*n**3 + 5*n + 391*n**2 - 391*n**2.\nAnswer: 141*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6) + -1)*1. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(1\/3)\/y)*y)**(2\/35)*(y**(-1))**(8\/3) assuming y is positive.\nAnswer: y**(-88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(-5 + (((sqrt(171)*-3)\/sqrt(3))\/(sqrt(6)\/sqrt(2)*1))**2).\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-36)*(-18)\/(-4). Let w(n) be the first derivative of y*n**2 + 1\/3*n**3 - 1 - 7*n. Let k(l) = -l**2 - 5*l + 8. Give -5*k(f) - 6*w(f).\nAnswer: -f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**15)**(-46)*((c**(-2\/9)*c)\/c)\/(c\/(c\/((c**(-2\/5)\/c*c)\/c*c))) assuming c is positive.\nAnswer: c**(-33112\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 5\/3, -2, 0.5, 26.2, 988?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24618 + 43955. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336547 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*x - 32, -4*x = 4*h + 32 - 12. Suppose 2*u = u + 5*v - 5, -v - 32 = 2*u. Let w = h - u. Calculate the highest common divisor of 64 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 + -0.4. What is the nearest to b in -2\/9, 2\/11, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x + 0 + 0)*(-16 + 13 + 17718*x**2 - 12077*x**2) to f + h*x + w*x**2 + o*x**3 and give o.\nAnswer: 22564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*t - 9*t. Let l be 42\/24 + t\/8. Solve -2*r + 28 = 4*m, l*m + 2*m - 4 = 4*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21743542 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*y**3 + 6*y**3 - 30*y**2 + 22 - 10 + 31 with respect to y.\nAnswer: 6*y**2 - 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12334.\nAnswer: 2, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**4 + 3*n**3*q**3 - 7*q**3 wrt n.\nAnswer: 12*n**3 + 9*n**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -20*f**2 + f. Let u = -81 + 83. Let x(z) = 257*z + 254*z - 511*z + 2*z**u. Calculate x(a(t)).\nAnswer: 800*t**4 - 80*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 138500, 277186, 415872, 554558, 693244?\n\"Answer: 138686*f - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 3*a + 2. Let u be g(-3). Let b(n) = -n + 4. Suppose 0 = -m + 2 - 0, -2*c - 2*m + 14 = 0. Let f(z) = 3*z - 9. Determine c*b(j) + u*f(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1845 + -1844.99933624. Round s to five dps.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 39 = 0. Find the second derivative of 9*j - v*j**4 + j**4 + 9*j wrt j.\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 17*b + 70. Calculate the remainder when 117 is divided by d(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u + 365 - 40 = 897 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 18921358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/6 - ((-2900)\/3)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91312261 is divided by 13026.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7031650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*k**3 + 33267*k**2 + 2412474*k + 44326851.\nAnswer: 3*(k + 37)**2*(4*k + 10793)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73*m**6 + 1142*m**2 - 977*m**2 + 125*m**6 wrt m?\nAnswer: 23760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**3 - t**3 + 2*t**3)*(-6*t + 4*t + 3*t).\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21282 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 268449 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v - 2*v)*(2 + 4*v**2 - 2) + 0*v**3 - 3*v**3 + v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 61*k + 107. Give o(-45).\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 12. Let f be 6*(-3 - 28\/(-8)). Let y(q) = q + 14*q**2 - 7*q**2 + 8*q**f - 9*q**3. Give y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11206*t - 11262*t + 719 - 215 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 3. Let y be r(5). Let j = 10 - y. What is the units digit of 75*2*j\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 54, 179, 430, 849, 1478, 2359, 3534?\n\"Answer: 7*b**3 - 8*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**4 + 2*w + 6*w**4 + 174*w**2 - 538*w**2 to p*w**4 + c + o*w**3 + j*w + f*w**2 and give f.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4285+-590496587\nAnswer: -590500872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, c: 4, g: 1, i: 4, q: 1}. Give prob of sequence cgcy.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-6\/13)*s**(5\/3)\/s*s**6\/s**(10\/9) assuming s is positive.\nAnswer: s**(821\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 222, 344, 450, 534, 590, 612?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.2 less than 22.79?\nAnswer: -171.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -432 - -633. Let m = -201.2 + k. Which is the second biggest value? (a) -5 (b) m (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = c + 6*c. Calculate the common denominator of (411\/15)\/(30\/c) and 158\/132 + 2\/(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*2*24\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c + 482. Let t be g(48). What is the closest to -1\/4 in t, -29\/6, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1275 + 898848.\nAnswer: 900123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131 or -129?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 25 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16905755?\nAnswer: 5, 3381151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -98, -86, -56, -2, 82, 202, 364?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-170))\/(-2*4\/(-4)*(-15)\/(-75))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/45))**(1\/38))**(-50) assuming c is positive.\nAnswer: c**(10\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 1346*w**3 + 1337*w**3 + 0*w**2)*(w - 1 + 1).\nAnswer: -9*w**4 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 77*z - 66*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100 (base 2) to base 8.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -389\/3, 0.5, 17, 0.018, 1\/5, -3\/5?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**2 + 39*p**2 - 46*p**2 + p + 0*p - 47*p**2.\nAnswer: -75*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/163826249 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 10*p + 13*p + 83 - 8*p. Let y(s) = -1. Let b(l) = 6*y(l) - z(l). Find the first derivative of b(g) wrt g.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11929 divided by 4.\nAnswer: 11929\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 168845 and -0.03.\nAnswer: 168844.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 36*t**3 - 54*t**3 - 103*t**3 - 4 in the form j + y*t + k*t**2 + g*t**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g + 5. Let q(n) = -1. Suppose 5*r = -5*c + 5, -11*r - 4*r = -3*c - 33. Calculate c*d(h) - 2*q(h).\nAnswer: -8*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n + 2. Suppose y = 3*g + 7079, 2*g - 5*y - 243 = -4945. Is (n*-2 - -3)\/((-3)\/g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -12303.25\nAnswer: -861.2275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 20 - 31. Suppose -u + i = -2*y - 3*y, -22 = 4*y + 2*u. What is the units digit of (16 - y)*4\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*n = 12, -f + n + 16 = 10 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12368*a + 40898 = -12346*a. What is the highest common factor of 715 and a?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-10) + 1\/(45\/(-18)). Let n be (-3 - 1)*(-2)\/38. Which is bigger: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766803?\nAnswer: 3, 233, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3293129915 to the power of 1\/2, to the nearest integer?\nAnswer: 57386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {y: 1, n: 2, f: 13, r: 1, k: 2, h: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 9 = 149. Let f(s) = s. Let v be f(d). Solve -5*z = -x - 5 - 3, -5*z + v = 2*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b**4 + 318*b**3 + 1272*b**2 + 1242*b - 6. Let o(h) = -17*h**4 - 637*h**3 - 2542*h**2 - 2485*h + 11. Let p(q) = 11*i(q) + 6*o(q). Factor p(s).\nAnswer: -3*s*(s + 2)**2*(s + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-5136)\/(-192)) + (21 - 1)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 1 - 1)*(-3 + 3 + t)*(-3*t + 3*t + t**3) - 2*t**5 - 2*t**5 - 2*t**5.\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 21 = -3*d, -4*h - d - 2*d = -111. Calculate the remainder when h is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(2*u + 4*u + 1 - 5*u)*(14 - 14 + 8*u).\nAnswer: -8*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 5:26 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -a04535?\nAnswer: -a04546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -5) + 0 + 1. Let p = 40 - 34. Sort -3, x, p.\nAnswer: -3, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 16*w**2 - 13*w - 26. What is z(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h + 65. Let p be f(21). Let n(a) = 0*a - 2*a**p + 0*a - a**3 + 2*a - 2*a**2 + 3. What is n(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 73. Give o(20).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/294306 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5167.\nAnswer: 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.04 - 26\nAnswer: -24.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + (4 - 14\/(-10)) and 53\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 4 (c) -10 (d) 0.4 (e) 0.1 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-66))\/(249\/48 - 5). Find a such that 8\/11 - 6\/11*a**2 - p*a + 2\/11*a**4 + 4\/11*a**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-13)\/(-2106))\/(-1*4\/2)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.23759 at most -0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2306 is divided by 1734.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2349*j**3 - 91 + 73 + 108 - 90.\nAnswer: -2349*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(sqrt(99)*-4 + sqrt(99)))\/(sqrt(108)\/(sqrt(60)\/sqrt(5))).\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 8*n + 22. Let h be i(-10). Suppose -f = 2*f + 6. Sort f, 5, h in decreasing order.\nAnswer: 5, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11418 rounded to the nearest one hundred?\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18512, -74112, -166766, -296462, -463188, -666932?\n\"Answer: 2*p**3 - 18539*p**2 + 3*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0228695 times -0.1?\nAnswer: 0.00228695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljnqyyc. What is prob of sequence cql?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1.071. What is u rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -15. Let p(w) = 6*w**2 - 8*w - 5. Let c(f) = -5*f**2 + 7*f + 4. Let d(j) = g*c(j) + 6*p(j). Let i be (-1 + 1)\/(41\/((-1394)\/(-68))). Calculate d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*b - 20 = 2*b, -4*u = 2*b + 10. Let c(n) = n**3 + 1. Let q be c(1). Suppose 2*l + 2*w = u, 5*l = q*w - 3*w + 8. Solve -l*k = 4 - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 5*y + 4. Let o be r(4). Suppose 10*s - 357 - 73 = o. What is the remainder when 127 is divided by s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 278 and 217813?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/150 and 59\/1545.\nAnswer: 15450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36711 greater than 2182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 3. Let c be -1 + 4 + -5 + 4. Let d be r(c). Let w be (-7 + d)\/((-8)\/52). Solve -o + 9 + 10 = -4*a, -2*a - w = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5424 and 16290.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 1. Let y be a(-9). Let n be 30\/9*12\/y. What is the third smallest value in 0, n, -0.23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 437*k - 1273. Let i be h(3). Solve 9 = -f - 5*n, i*n - 35*n = -4*f - 19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 56 - 159 + 52 + 6*v - 15*v + 53. Let h = -7 + 4. Let b(i) = -5*i + 1. Determine h*j(m) + 5*b(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, 3, -5 in descending order.\nAnswer: 3, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 4) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5*26 + -15 + (-121)\/(-11) and 288?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 21170.\nAnswer: 127020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4991, -19954, -34915, -49874, -64831?\n\"Answer: t**2 - 14966*t + 9974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 10 - 4 = -n, -5*m + 26 = 3*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**2 - 430*s - 8120 = 0.\nAnswer: -58, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1 + 3 - 4*f - 3 - f**2 - 4. Let s(u) = -2*u**2 + 30*u - 32. Let j be s(14). What is p(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6219\/4 + -1555. Is 137 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -5*l - 2*q - 0*q, 5*q + 25 = 0. Suppose 3*d - l = -2*d. Suppose 52 + 33 = d*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6) + 45 + -48?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 708240 by -12.\nAnswer: -59020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 98 = b, 63 = -0*g + g - 3*b. Suppose 2*z + 0*z - 90 = 3*v, 3*v + g = z. Does 39 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -477630 (base 8) in base 12?\nAnswer: -7a908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/60 and 77\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 20*f**2 + 5*f - 6. Suppose 87 = -9*i - 30. Let h = i + 15. What are the prime factors of d(h)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from uququruuqquuuqquugu?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13 - 481\/(-39))\/(2\/15). Let o(j) = j + 10. Let i(b) = 2*b + 19. Calculate y*o(p) + 3*i(p).\nAnswer: p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16826 at most 16320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847470 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 296.5954 nanometers?\nAnswer: 0.0000000002965954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206427?\nAnswer: 3, 13, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5460 - -5459.3. Are r and 109 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:06 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 37395*g**2 + 74778*g.\nAnswer: 3*g*(g - 12463)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + (sqrt(40)\/sqrt(2))\/sqrt(5))*5)\/(1*sqrt(392))*5.\nAnswer: 25*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**6\/15 - z**4\/4 + 5*z. What is the third derivative of y(q) wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197852 is divided by 3189?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**7\/105 - s**5\/20 + 3*s**2\/2 + 2*s. Let z(g) be the first derivative of b(g). Find the third derivative of z(d) wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.29? (a) -5 (b) -0.4 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309.395ng to grams.\nAnswer: 0.000000309395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o. Suppose d = -o*d. Let s be 1\/6*6\/(-8). Is s <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -11*t**2\/2 + 66*t + 34. What are the prime factors of n(-26)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**3 - 3*d**2 - 5*d - 10. Is 35 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Suppose x = w*x - 9. Let o(t) = 14*t - 1. Let d be o(2). What is the greatest common factor of d and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164586 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12356 and 6.522.\nAnswer: -12349.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 8:21 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {l: 4, b: 4, s: 11}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = -2. Let w = -1 + c. Let x be w\/9 - (-1)\/(-3). Let h(n) = -n**3 - n**2 - 5. Calculate h(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + (-4*sqrt(3)*-2 - sqrt(3)) + 5*sqrt(243) + sqrt(243) + sqrt(132)\/(sqrt(11)*-3) + sqrt(12) + 1)*2)**2.\nAnswer: 1520*sqrt(3)\/3 + 144412\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 3*g**3 + g**3)*(13 - 13 + 2*g - 2*g - 4*g + 4*g + (-3 + 2*g + 3)*(1 + 2 - 5) - 2*g + 2 - 2).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 15*x - 4. Let i be d(7). Let y = i + -68. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 29\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/7 - 1430*q**3\/7 + 38728*q**2\/7 - 24832*q - 1406976\/7 = 0.\nAnswer: -4, 16, 687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -2 (c) 2\/9 (d) -0.15 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*h + 17*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 249656174941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10c3 + 1?\nAnswer: -10c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27300 and 770?\nAnswer: 300300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*14\/56*2*-1. Suppose d + 3*d + w + 85 = c, -67 = 3*d + 4*w. Let m = d + 21. Solve -5*k + m*k - 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 10*i + 12. Suppose 3*v - 45 = 18. Calculate the lowest common multiple of i and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d + 258. Let m(k) = -3*k. Determine -3*m(f) - t(f).\nAnswer: f - 258","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2\/9 + 8*w\/9 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 5*u - 3*u)*(-2*u**2 + 2*u**3 + 2*u**2) + (-u**2 + 5*u**2 - 2*u**2)*(u**2 - 3*u**2 + 0*u**2).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0*z**2 - 9*z**2 + 12*z**2 + z - 2*z. Let j be n(-1). Solve j*b + 3*w = 16, -4*b + 12 + 4 = 4*w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 106*f - 113 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by 1270619\nAnswer: 86\/1270619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16455013 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 443, 439, 435, 431, 427?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7\/9)*m**9*m)**(-14) assuming m is positive.\nAnswer: m**(-1162\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = 94. Is k at least as big as -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/550 and -163\/755700.\nAnswer: 755700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6396\/33 + (-4)\/(-22). Suppose 41 = 2*o - 61. Suppose -5*b = -o - h. Is b 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 971198644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 15) + 10 + (4 - (-4 + 2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 1, -1, -1005, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1082997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 1. Let a be o(0). Suppose 0 = s + a - 3. Differentiate 4*n - 4*n - s - 2*n wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -248, -983, -2208, -3923, -6128, -8823?\n\"Answer: -245*c**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 47*y**2 - 172*y + 7. Determine h(43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 10. Let r be (-78)\/(-30) - (-2)\/x. Suppose 2*p - 12 = 3*t + r, 3*t + 12 = p. Solve -2*h + p = -7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 + 5*a + (20 - 20 + 115)*(5 - 5 - 6*a) - 6*a + 4*a + 4*a in the form h*a + v and give h.\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32170995 to the nearest integer?\nAnswer: 5672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/8 of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 divided by -86?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -3*u**5\/20 + u**4\/12 + 7*u**3\/6 + 2*u**2 + 4*u - 4. Let r be y(-2). Sort 4, -5, r.\nAnswer: -5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25366 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22733.928 days in weeks?\nAnswer: 3247.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3\/2 + 1473*n**2\/2 + 21504*n + 152586 = 0. What is n?\nAnswer: -14, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 7*w + 3695. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h + 24*h + 5. Let i = 123\/7 + -18. Which is bigger: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 1)*(14*h - 50*h + 25*h + 1) as n + s*h and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 174\/5*x - 84\/5*x**3 - 259\/5*x**2 + 1\/5*x**4.\nAnswer: x*(x - 87)*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141333 (base 5) to base 7.\nAnswer: -23015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, 2\/7, 0.1, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*a**3*g**3 + 94*a**2*g - 2*a*g**3 + a*g wrt a?\nAnswer: -114*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110425 by -7.\nAnswer: -15775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159 + 236. Let t = 123 - h. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j - 12 = 0. Let l(d) = d**2 - 4*d + 4. Suppose f - u = 3, -4*u - u = 5*f - 35. Let g(w) = 2*w**2 - 7*w + 7. Calculate f*l(t) + j*g(t).\nAnswer: -t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 33. Let l = -9 + a. What is the closest to -0.1 in l, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134 + 124.7\nAnswer: 258.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*s**3 + 7*s - 82*s**2 + 54*s**2 + 6*s**5 - 6*s wrt s?\nAnswer: 360*s**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.00577 and -0.5?\nAnswer: 0.50577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*((-45)\/27 - 0). Let n be (-4)\/6*15\/(-1). Is 28 a factor of x*(122\/n + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1121 or 0?\nAnswer: 3\/1121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(2\/5))\/h)**(-1\/7)\/(((h*h**(3\/10))\/h)\/(h*h**(-2)*h)))**25)**9 assuming h is positive.\nAnswer: h**(-765\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-31680)*-300)\/(180\/(-99)).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7261344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2. Let r(m) = -5*m + 1 + 10*m**2 + 5*m - 12*m**2. What is x(r(c))?\nAnswer: 4*c**4 - 4*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322 + -322. Let n(v) be the second derivative of 0 + h*v**2 + 0*v**4 - 2\/3*v**3 - 1\/6*v**6 + 2*v + 0*v**5. What is the second derivative of n(z) wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12589.0545 rounded to the nearest ten?\nAnswer: -12590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 - 130909*r + 261816.\nAnswer: (r - 261816)*(r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235 and 251168?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2871)\/(-99) - 84753\/2924?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -4)*(1 + 0) + 4564\/(-326) - 30.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - 2) + (-2 - -14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 907607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/5 (b) -6 (c) -94 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 6:41 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 663?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5*8\/4)\/(48\/(-120))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -469298 (base 10) to base 12\nAnswer: -1a7702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/9 - 15236*w**3\/9 - 40604762*w**2\/9 - 14712643400*w\/3 - 1864959845000 = 0.\nAnswer: -2759, -1050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w - 4*w - 2*w)*(-512 + w**2 + w + 514 + w**3 + w**3).\nAnswer: 6*w**4 + 3*w**3 + 3*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/3 - 3511*z - 21070\/3 = 0 for z.\nAnswer: -2, 10535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -130974 at most -130952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(8\/9)*j)**(-45)*(((j**(-1)\/j)\/j)\/j)\/j**(-21\/4))**(-6) assuming j is positive.\nAnswer: j**(1005\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167*y**4 - 310.\nAnswer: 668*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1192 + 1178. Sort -2, i, 4, -6.\nAnswer: i, -6, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12770 and 40?\nAnswer: 51080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -16*a + 4. Let x be t(5). Let z = -50 - x. What is the remainder when 76 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12727?\nAnswer: 11, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.08 + -16. Let g = -5.92 - f. Which is the smallest value? (a) g (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 - 0.1. Let x = -193843\/3280 + 2442\/41. Let r = -1\/16 + x. What is the nearest to -4 in s, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 6:00 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73189?\nAnswer: 73189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1252 + 2619*c + 1238 - 2490.\nAnswer: 2619*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 2. Suppose 2*u + 5*s - 14 = 0, -6 = -3*s - 0. Let p be z(u). Solve 0 = 5*o + 5*w + 20, p*w + 14 = -3*o - w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*q - 135276 + 3473 = 0. Calculate the remainder when q is divided by 199.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 136*n**4 - n**2 + 94.\nAnswer: 544*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 6 + (21 - 22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.278 rounded to 1 decimal place?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 7*i + 11. Let j be o(-5). Let q(s) = 1410*s**2 - 2*s + 1. Is q(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/54)\/((-270)\/(-243)*(-78)\/65)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50\/(-4)*(2 + -4). Let s be (30\/q)\/(3\/(-10)). Let g = 0.063978 + 4.936022. What is the biggest value in s, -6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -36. Suppose 2*z = -2*q + 3*q + 15, n*q = 2*z - 16. Let v(f) = 6*f**2 - 5*f - 6. Is v(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 330866? (a) 8 (b) 0 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 120200 = -2*q + 5*h, 0 = -3*q + 5*h + 72122. What are the prime factors of q?\nAnswer: 3, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 124*o**3 + 116*o**2 + 124*o - 120.\nAnswer: 4*(o - 30)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2*v - 4*i**2 + i*v + 928*i - 4*v**4 + 241*v**3 wrt v.\nAnswer: -i**2 + i - 16*v**3 + 723*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6 = 2*r, 3*r - 4*g + 3 - 2 = 0. Let y(l) be the third derivative of 3*l**4\/8 - 5*l**3\/6 - 2*l**2. Does 16 divide y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 526806*q - 531724 wrt q.\nAnswer: 526806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209605 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/14)\/((-6)\/(-21)). Suppose -3*c = -k*c + 21. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2+-424742\nAnswer: -424744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -77*a**2 - 76*a**2 - 75*a**2 - 84*a**2 + 316*a**2. Let s(g) = -26*g. Let c(t) = 5*t. Let d(m) = 14*c(m) + 3*s(m). Calculate d(n(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*h - 298 + 942, 5*h = x + 294. Let q = -2166\/7 - x. Find the common denominator of -45 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -407, -798, -1213, -1664, -2163, -2722?\n\"Answer: -2*g**3 - 377*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 11 = 18. Sort o, 14, 5.\nAnswer: o, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 8*v**2 - 6*v - 4. Let n be k(-7). Suppose 0 = -3*j - 8*j - 55. Let t = j - n. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8042906171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -48*r + 1606. Give v(34).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 39204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j. Let v(t) = -t - 7. Let i = -11136 + 11135. What is i*v(f) - 2*a(f)?\nAnswer: -f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33922 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -3 - 5*r - 1\/2*r**2. Let u = -50 - -43. Give m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*(-11 - (3 + 4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2443\/5 + 491. Let v = 33331 - 33331. Determine b so that d*b + v + 3\/5*b**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001654882 rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/5430 and -2\/1699047.\nAnswer: 16990470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 325831347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/395 and 37\/120275.\nAnswer: 9501725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.73, 0.4, 0.07, -4\/3, 0.04 in ascending order.\nAnswer: -4\/3, 0.04, 0.07, 0.4, 0.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -159*n + 1. Let x(h) = h**3 - 8*h**2 - 11*h + 12. Let z be x(9). Let l be y(z). Let o = -476 + l. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 92\/6 + (-3)\/9. Let t be -3*(-8)\/12 + 373. Suppose -t = -3*f - 2*f. What is the greatest common factor of r and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from ssuwsjess.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 18*r - 38. Let y be b(16). Put -2, y, 2, -3 in increasing order.\nAnswer: y, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157 + -111. What is the remainder when q is divided by 3 - (-4)\/(12\/39)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5 - 271*f**2 - f + 70?\nAnswer: -20*f**3 - 542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3146516 (base 7) to base 10\nAnswer: -381674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 + -11.06401069?\nAnswer: 93.93598931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Suppose -4*j - 4*h = -o*j + 26, 5*h = j + 27. Let u = j + 60. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1054, -1016, -954, -868?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93519 is divided by 334?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5 - 830*f**4 + 13521*f**3 - 12690*f**2 = 0.\nAnswer: -846, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 322034 + -0.088\nAnswer: 322033.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.157648 (b) 3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.9 + -5.71. Let p = 0.19 - d. Sort 0.2, p, -11 in descending order.\nAnswer: 0.2, p, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l. Suppose z = 4*z - 3. Let f(v) = -3*v + z - 4 + 3. Calculate g(f(t)).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2566)\/(-9) + (222\/(-54) - -4). Suppose l = 5*k - 3*l - x, -4*l - 114 = -2*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355*0.9.\nAnswer: 319.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 272 + -272. Find the second derivative of 3299*f**5 - 3250*f**5 + t + 1 + 68*f wrt f.\nAnswer: 980*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -334, -698, -1060, -1420?\n\"Answer: v**2 - 367*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7303689 divided by -811521?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.017 != -4\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/11)*b)\/(b*b\/(b*b**0*b*b))*b\/b**3*b**(-2\/3)*(b**(2\/3))**(-21)\/(b\/b**(-1)*b**(1\/4)) assuming b is positive.\nAnswer: b**(-2077\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 1e9b?\nAnswer: 1e9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/63 + 152\/819. Which is the closest to -1? (a) 5 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -27087000.\nAnswer: -27087001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4772342 rounded to the nearest one hundred thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 w, and 2 r when four letters picked without replacement from rrwauruawrww?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**4\/12 - 62*p**3 + 443*p**2. Let r(v) = -3*v**2. What is r(o(n))?\nAnswer: -12*n**2 - 4464*n - 415152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12 = 5*w - 32, -4*x = -5*w + 41. Solve -w*r = 10 + 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -407015, -814096, -1221175, -1628252, -2035327?\n\"Answer: z**2 - 407084*z + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*q + 148*q + 9*q**3 + 451 + 185*q.\nAnswer: 9*q**3 + 451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1806, -1804, -1800, -1794, -1786, -1776?\nAnswer: -1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 26 = 13*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than -28.62005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**5 - 114405*v**4 - 13223280*v**3 + 13337680*v**2 = 0.\nAnswer: -116, 0, 1, 22996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1178 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110171 and 524?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1387, -6439, -20153, -46861, -90895, -156587?\nAnswer: -248269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = -10*t - 34*t - 36480. Which is smaller: -609 or t?\nAnswer: -609","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 + 20 - 75 + 1806*i to the form u + l*i and give l.\nAnswer: 1806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/1)\/(15 - 13). What is the first derivative of -12*b**4 - 14 + 3*b**g + 23 wrt b?\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24 - 24)\/(0 + 3 + 0). Let l(g) be the third derivative of g**6\/120 + g**4\/24 - 5*g**3\/3 - g**2. Determine l(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36411859*g**3 - 71473938*g**2?\nAnswer: 218471154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 216*o - 10. Let l be z(3). Suppose l = 3*u + 3*a - 475, 2*u + a = 742. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 + -91. Suppose -10 = a - u. Find the second derivative of -4*z**a + 3*z**2 + 12*z - 13*z - 20*z**2 wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a second in milliseconds?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52674 * 1072\nAnswer: 56466528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55379 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*39\/26. Let w(n) = 25*n**2 - n. What is the least common multiple of w(r) and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 384?\nAnswer: 7296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - a + 5*s - 116, 20 = 5*s. Suppose -5*w = -w + a. Let c(u) = -4*u - 5. Let m be c(w). Solve 4*y + m = -3*j, -j + 4*y + 12 = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5, 3*j = 11*i - 6*i + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -x - 17 + 28, -x - 17 = -3*p. Let v(b) = -b**2 + 6*b - 2. Give v(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-19116)\/(-1180) + (-6)\/5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (140\/(-42))\/((-21)\/(-9) - 3) and 409.\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddudlduuul. What is prob of picking 1 l and 1 d?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5532 divide 3282622416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2 - (-70 - -68)) + (0 - 11) - -80.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.4 in 0, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 781, 542, 125, -476, -1267, -2254, -3443, -4840?\n\"Answer: -y**3 - 83*y**2 + 17*y + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 24. Let d(z) = -2 + z - i + z + 4*z. Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.145 (b) 4\/3 (c) -26 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*c - 91, 2*y - 5 = 3*y. Solve -c = 2*u - 0*u + 5*r, 5*r = 5*u - 40 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*k = 88*k. Let y be (k*(-2)\/(1 + -7))\/3. Let m(j) be the first derivative of j**4\/4 + j**3\/3 + j**2\/2 - 5*j + 3. Give m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*v + 247 = 0, 7*c - 4*v - 424 = 3*c. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96137 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**4\/12 + 103*b**3\/6 + 18*b**2. What is the units digit of q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - 5*r**3 - 1 + 0 + 2 - 5*r**2 to the form v*r**2 + g*r + k + c*r**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7480020?\nAnswer: 2, 3, 5, 59, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (151 - -7) - (-119 + 155)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*(sqrt(220) - (-3*sqrt(220) - sqrt(220))))\/sqrt(5))\/((sqrt(28)\/sqrt(7) + sqrt(4))*4 - 4*sqrt(24)\/sqrt(6)).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(209) - 5*(sqrt(209) - 1*sqrt(209)))\/(sqrt(22)\/sqrt(2)*-5) - (sqrt(76) + (sqrt(76) + 0)*6)*-1*-5)**2.\nAnswer: 2248384\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488156604?\nAnswer: 2, 3, 13, 3129209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 320 or 163909?\nAnswer: 163909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 86359.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*2\/6*0. Suppose t*z + 48 = 3*z. What is the highest common factor of z and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585 plus -451?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*g**3 + 4*g**2 - 45*g**3 + 16*g**3 - 3*g**2 + 2*g**2.\nAnswer: 23*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -167\/2? (a) -1 (b) 5 (c) 0.1 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13615 divided by -2\nAnswer: -13615\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 1 - (-126)\/((-5)\/45*-3) is divided by 79?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/(-297)*3\/10*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2634040 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001480169 to seven decimal places.\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22546 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -14. Suppose 4 - 19 = i*s. What is the smallest value in -0.9, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600277?\nAnswer: 23, 26099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 8:17 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(196\/(-105))*36\/30*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**4\/6 + 2*h**2 + 4*h. Let b(j) = 9*j + 3. Let w be b(1). Suppose -10*g = -w*g - 6. Determine x(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4 + 96*k**3 - 998*k**2 - 3696*k - 2600 = 0 for k.\nAnswer: -2, -1, 25, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2056251 (base 7) to base 9.\nAnswer: 420216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 41 = -163. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36 and -23.049?\nAnswer: 12.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367090 rounded to the nearest ten thousand?\nAnswer: -1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 0*r**2 + 20 + 0*r + 1\/3*r**3. Let q(z) be the third derivative of 5*z**4\/24 + z**2. Determine a(q(x)).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38919 + 120743\/3. Let k = -1317 + s. Find the common denominator of 13\/8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 p when four letters picked without replacement from {p: 5, r: 4, w: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 138580677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -14*f**3 + 19*f**2 + 8*f + 113. Let q(k) = 7*k**3 - 12*k**2 - 5*k - 75. Calculate -5*h(t) - 8*q(t).\nAnswer: 14*t**3 + t**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppppvp. Give prob of picking 1 v and 1 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c368 (base 14) in base 16?\nAnswer: 37198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z = -18. Let h be (z\/27)\/((-4)\/(-18)). Suppose h*d + k - 31 = 0, -6*k + k - 21 = -d. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + sqrt(396)*-4 - sqrt(396)) + 1*(sqrt(396) - 1*sqrt(396)))**2*-3.\nAnswer: -29775 - 900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lldddd. Give prob of picking 2 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23988, 47994, 72000, 96006, 120012?\nAnswer: 144018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*y - 21. Suppose 81 = 5*o + 3*h - 26, y*o = 2*h + 90. Suppose -2382 = -18*z - 6. What is the greatest common factor of z and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001120 (base 3) in base 14?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 5) to base 7\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48991248 by -6123906.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:38 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 6:04 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) 0.5 (b) -355 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*n + 375*n**2 - 24*n + 48*n)*(0*n - 5*n + 3*n).\nAnswer: -750*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4898772, 9797545, 14696318?\n\"Answer: 4898773*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -z - 2, 3*d - 12 = -3*z + 9. Suppose -20 = -5*i, 19 = 2*m + 3*i - 5. Calculate the remainder when z is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/4 - 35*f**4\/4 + 247*f**3\/4 + 1083*f**2\/4.\nAnswer: f**2*(f - 19)**2*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p**2 + 6*p**2 + 13*p**2)*((-44 - 11 + 24)*(-1 - 2 + 2) + 3 - 1 - 3) as j + r*p**2 + q*p and give r.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 418.\nAnswer: -25.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 467683633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 + -5. Let a = d + 3. Let r = 5953 + -5953.4. What is the nearest to 2 in r, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124 - -37. Let s = p + 102. Solve -5*a + 4*u - s = 0, 0 = 2*a + a + 5*u - 28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -21 + 218 + -214.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243765, 975027, 2193811, 3900129, 6093993, 8775415, 11944407, 15600981?\nAnswer: 19745149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*v**6 + 18*v**2 - 15*v**2 - 4*v**2 wrt v?\nAnswer: 1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5ef - -813?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllrlklvpkrkplllr. What is prob of sequence lvl?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*i - 21*i - 2. Suppose 4*b - i = 3*h + 18, 0 = 3*b - 3. Put 0, h, -20\/3 in descending order.\nAnswer: 0, h, -20\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -8 + 5. Let x(y) = -18303*y - 3. Let o be x(c). What is o rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -157*n - 5525. Calculate x(-35).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -1. Let h be (4\/6)\/((-8)\/l). What are the prime factors of (5 - h)*20\/8?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 11 - (13 + -10 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21170*v - 21157*v - 641849 = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/40 and -31\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1450 * -1.\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*g**5 + 2*g**4 - 29*g**3 - 17*g**2 + 6*g = 0. What is g?\nAnswer: -3\/2, -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + 3)**2*2) + -1 + sqrt(3) + 3*sqrt(48) + -5 + (sqrt(6)\/sqrt(2))**2 + sqrt(3).\nAnswer: -27 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (1*(sqrt(891) + 3) + 1)**2 + (6*(0 + sqrt(891)) - 2*sqrt(891)*2)).\nAnswer: -907 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24148713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 10 - (-58)\/406.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8588 smaller than 8588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 f when three letters picked without replacement from fzfzi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + -72. Let a(l) = 4*l - 6. Let n be a(4). Suppose 4*t + 15 = -f, -2*f + n = -f - t. Solve -5*u + i = c, -f*i + i - 13 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, l: 3, g: 4}. What is prob of picking 1 l, 1 g, and 1 u?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*((-2*n - 4 + 4)*(0 + 0 - 1) + n + 0 + 0) - 7*n + 0*n - 8*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(10290\/4)*(561\/22)\/(-17).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356 is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -928*z + 930*z. Suppose 14 = 13*o - 103. Solve j = -4*s, z*s - 5*s + j + o = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 - (-64 + 80).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 6*v**2 - 59*v + 9. Let g be d(4). Let y = 35 - 40. Let l(q) = -4*q. Let s(t) = 7*t - 1. Give g*s(m) + y*l(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -19*l + 41. Let f be q(-2). Suppose -f = -4*b - 3. Calculate the remainder when 148 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 4*i. Let r(c) = 11*c - 1 - 39*c**2 + 1 + 34*c**2. Determine -4*r(v) - 11*s(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 903353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 27 = 4*w, -4*l + 586*w - 21 = 589*w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -19*p + 334. Calculate k(20).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 7:34 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -130*v - 913. Let k(y) = 26*y + 183. Let j(q) = 11*k(q) + 2*l(q). Calculate the remainder when j(-6) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 10 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1032251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 490c?\nAnswer: 491c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*o**4 + 1819*c*o**2 - 527*o**5 + 2*o**2 wrt o?\nAnswer: 48*c*o - 31620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 11) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.77 - 14.5. Let d = z - 0.17. Let x = 0.4 + d. Which is the third biggest value? (a) 0.3 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3 and -7\/39023.\nAnswer: 117069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 258 - 256. Solve 4*q = 14 + n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/5)\/(v\/(v*v**6)))\/(v*v\/(v\/(v\/(v\/(v**(-4)*v))))*v*v**(-2)))**(-3\/34) assuming v is positive.\nAnswer: v**(-66\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8242 = 23*j + 7575 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3*1\/(9\/3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*r + 12*r - 7*r + (6 - 4 - 1)*(r - 2 + 2))*(-103 + 72 + 77).\nAnswer: 1610*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 11. Let n be x(9). Suppose -4*g + 11 = -n*g + 3*w, -2*w = 3*g - 9. Solve 0*z - z + g = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(825) + sqrt(825))\/(-2*-2*sqrt(11)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2311998756.\nAnswer: 2, 3, 192666563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10.3*0.1\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**3 - 14*p**2 - 18*p - 8. Let n(h) = -9*h**3 + 29*h**2 + 36*h + 16. Let x(o) = 11*b(o) + 6*n(o). What is the tens digit of x(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 94 = 4*z + 72, 4*n + z = -17. Suppose 0 = 11*r - 8*r - 48. Which is the nearest to -1\/4? (a) -7 (b) r (c) n (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, m: 3}. What is prob of sequence mmi?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*r + 15 - 92, 4*n - 101 = -5*r. Let c(b) = -43*b + 332. Let v be c(8). Let k = r + v. Solve k*p = p + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 56 = 4*n + 64 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29835 is divided by 5483?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 20994344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 500 + -34133?\nAnswer: -33233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376 a factor of 5470976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44, 51, 62, 77, 96, 119?\n\"Answer: 2*q**2 + q + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - (-4 - -5) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w - 4*w - 25*w + 0*w - 3*w + 9*w + (30 + 16 + 15)*(-w + 3 - 3) as o + p*w and give p.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-56)\/(-3)*(1023 - -3). Let w = o + -881039\/46. Let z = 4135\/356 - 17\/534. Find the common denominator of w and z.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**7\/735 + x**6\/30 - 2*x**5\/35 - x**4\/6 + 13*x**3\/21 + 4262*x**2. Suppose j(b) = 0. What is b?\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/12 + 2*g**3\/3 + 22*g. Find the second derivative of m(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 33. Let v = 11 + 3. Let d be n(v). Solve -d*h = 1 - 26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + c + 2*c + 3*c + 0*c - c + (2 - 1 - 2)*(-c - c + c) + 3*c - c + 0*c + 2*c + c - 4*c + 27428 + 55*c - 27428 as p + v*c and give v.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16))\/(7*(-21)\/588)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20b9a90 (base 13) to base 16\nAnswer: 986cf9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 - 13*v - 8*v**3 + 7*v + 6*v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.493 or 112?\nAnswer: 11.493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1289*x + 247. Is 19 a factor of o(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12*((-4480)\/42)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*(-93)\/(-837)*1\/(2\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -377429052 by -79761.\nAnswer: 4732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 7 (c) 0.2 (d) 0.3 (e) -3\/98\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -40*d**3 - 7*d**2 - 7*d - 2. Let o(g) = 20*g**3 + 3*g**2 + 3*g + 1. Determine 9*o(v) + 4*u(v).\nAnswer: 20*v**3 - v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p - 5*x, -3*p - 4*x + 9 = -5*x. Suppose 0 = -2*n + p*n. Suppose n = -14*b + 11*b + 1461. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5))**(32\/3)*z**(-1\/7)\/z**(1\/4) assuming z is positive.\nAnswer: z**(-1957\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2894 + 2889. Let v = -33\/35 + 8\/7. Which is the second smallest value? (a) v (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69697.9734 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 13. Suppose 5*n + 4 + 26 = 5*y, 4*y - 22 = 3*n. Suppose -y*j = -5*j. Calculate q(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 96*g - 106. Let s be o(8). Let u = s - 407. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 295*a**3 + a**2 - 3*a. Let b(x) = 590*x**3 + 2*x**2 - 5*x. What is -3*b(z) + 5*m(z)?\nAnswer: -295*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c**2 + 1. Let m = -23 + 31. Suppose -2 = -2*v + m. Suppose -9*t + 4 = -v. Give p(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2088, 2089, 2090, 2091?\nAnswer: 2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 22 - 852*u - 26 - 53. Let l(p) = 284*p + 19. Let f(g) = 17*l(g) + 6*x(g). Is f(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33857638123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 912906 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*1*5 - (sqrt(70)\/sqrt(5)*-6 - sqrt(14))\/sqrt(2))**2.\nAnswer: 18928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2161 - 15154\/7. Let b = -155\/42 - i. What is the nearest to 1\/3 in 0, -1\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*h*j**3 + 15*h*j**2 - 3*j**3 + 2*j - 643 with respect to h.\nAnswer: -124*j**3 + 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*x, -m - m = 2*x - 572. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqzttftftzfftftz. What is prob of sequence tz?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - -1.76.\nAnswer: -8.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g*g\/g**(-1\/2)))**(-1\/8))**(18\/7)*(g*g**(2\/17)*g\/((g\/g**(-1\/4)*g)\/g*g))**(-49) assuming g is positive.\nAnswer: g**(1035\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w. Suppose 5*d - 18 = 4*a, 4*a = d + 3*d - 16. Let x(b) = -d + 4*b - 7 + 9. Give -7*r(j) + 5*x(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55200 and 4600?\nAnswer: 55200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202117421.\nAnswer: 11, 19, 37, 59, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**5\/210 - p**4\/28 + 2*p**3\/21 - p**2\/2 - p. Let c(i) be the first derivative of u(i). Suppose c(m) = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 25. Let m be t(13). Let o be 3\/1*(-6)\/m. Solve -2*a + o = -5*a - 5*v, -4*v = -4*a + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by -177*(-30)\/225 - (-2)\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.7, 0.1, 79, -828, -4\/7 in descending order.\nAnswer: 79, 1, 0.1, -4\/7, -0.7, -828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1632\/11 - 14666\/99. What is the third smallest value in 3\/2, -42, x?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**2 - 3963*r - 32641. Calculate n(-558).\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -54. Let i = 6 - 5.6. What is the nearest to -1 in i, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(468) + (sqrt(468) + 0 - sqrt(468) - sqrt(468))) + 0 + 3 + -4*1*sqrt(325))**2.\nAnswer: -120*sqrt(13) + 5209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3838 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 7*d**2 + 112*d - 985. Calculate z(10).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*y + 314. Let v = y - 84. Suppose p = -5*u + 116, 0 = -0*u - 3*u - 4*p + v. Calculate the remainder when u is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 12052302.8.\nAnswer: -12052302.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 0*x - 17*x)*(-3 + 6 - 1) + (13 + 0 + 4)*(2*x + 0*x - 4*x).\nAnswer: -80*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - r = 636, 2*j + 296 = -0*j + 5*r. What is the common denominator of j\/16*2\/(-4) and 150\/(-16) + (-1)\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 64*k + 164 + 396 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16*a**5 + 9*a**2 - 6*a + 6. Let i(f) = -16*f**5 - 9*f**2 + 5*f - 5. Let w(c) = 5*b(c) + 6*i(c). Find the third derivative of w(m) wrt m.\nAnswer: -960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.3377 to 2 dps.\nAnswer: 11.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -568134*k**2*x**3 + 8321*k**2*x + 4*k*x**3 - x**2 - 1598 wrt x?\nAnswer: -3408804*k**2*x + 24*k*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2590 is divided by 286?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -30925295*0.2\nAnswer: -6185059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 3*c**3 + c**3 + (6*c**2 - 4*c**2 + 0*c**2)*(0*c - c + 2*c)*(2 + 0 + 6).\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0. Let m = 4 + -3.92. Let o = m - -0.32. What is the second smallest value in o, 4\/7, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3855*h*m*w*z + 2*h*m*z - 1248*h*m - 2578*h*w - 1273*h*z - 5*m*w*z - 8 wrt w?\nAnswer: -3855*h*m*z - 2578*h - 5*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7580 by -5.\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 150*((-30)\/(-4) + -3). Let l(j) = -675 + o - 2*j**2. Let f(h) = -3*h. Let u(y) = y. Let a(q) = 4*f(q) + 9*u(q). Calculate l(a(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s + 15. Let p(j) = 3*j - 8*j + 4*j + 3*j - 7. Determine -9*p(b) - 4*u(b).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + (53 - 57).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 9:11 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:41 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 18*i = -15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 780, 1563, 2346?\nAnswer: 3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 l when three letters picked without replacement from lqzqqgzglgulgq.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14121 - 14117. Suppose 3*c - 17 = 10. Solve k*g = g - c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*(26\/(-507)*13)\/(78\/1495).\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/15, 1\/2, -48.\nAnswer: -48, -4, -2\/15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 132356 or 132365?\nAnswer: 132365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(8)*-6 - ((sqrt(147))**2 + sqrt(3))*-3)*-5.\nAnswer: -2205 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1353 = 3*q, -3*q - t + 1944 = 599. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/12 + 8\/(-6). Let s(z) be the third derivative of z**5\/60 + z**3\/6 - 249*z**2. Let v(w) = -3*w**3 + 6*w**2 + 2. Give p*v(r) + 4*s(r).\nAnswer: 3*r**3 - 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -4, -331, 1.\nAnswer: -331, -4, 1, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 4*f - 2. Let c be a(-2). Suppose -b = c - 14. Suppose 5*r + b = x + 2, 0 = 5*x + 25. Put 5, r, -5 in ascending order.\nAnswer: -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.228272 less than 0.4?\nAnswer: -207.828272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*s = 0, 0 = 2*p - 2*s + 10. Let y = p + -6. Let m = y + 28. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/6 + (-2 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2\/9 (c) 21 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.11 or 135.106?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) -0.4 (c) -2\/2728911\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -224. Suppose 0 = -g + r + 243. What is the greatest common divisor of 37 and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d + 11. Suppose -30 - 12 = -7*b. Let z(k) = -2*k + 5. Determine b*f(x) - 13*z(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**6 - p**2 + 1. Let k(x) = -x**2 + 2. Let w(r) = -k(r) + 2*o(r). Find the third derivative of w(a) wrt a.\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3\/6 + 2835*c**2\/2 - 31850*c - 1568930\/3 = 0. What is c?\nAnswer: -11, 34, 1678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 5*s**2 + 3*s + 1. Let z be t(-4). Let l(n) = -z*n + 3*n - n + 13 + 4*n. What is the tens digit of l(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-2\/3)\/y)\/y))**48*(y\/(y\/(y*y*(y*y**(-1\/4))\/y*y)))\/(y\/y**(1\/5)) assuming y is positive.\nAnswer: y**(3559\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22519 + 0.2286. What is n rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 806, 1912, 3460, 5450, 7882?\nAnswer: 10756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -53\/27, -2\/15, 133, 0.01?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpis when four letters picked without replacement from {q: 1, f: 1, s: 1, p: 1, i: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*f*r*y**2 + 26*f*r*y + 6*f*r + 2*f + r*y - r + 2*y + 6 with respect to y.\nAnswer: -134*f*r*y + 26*f*r + r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 131214154 (base 6) to base 3\nAnswer: 11212021101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534640 is divided by 511275?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 7 - (0 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*a - 13, -3*a = -0*o + o - 13. Let l(j) = j**2 - 4*j - 3. Let w be l(a). What is the units digit of (w - -1)\/((-2)\/23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 795 divide 42637440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136 - x**3 + x**4 + 4*x - 134 - x**3 to k*x**2 + s*x + m*x**4 + n + o*x**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**6\/1980 - n**4\/132 - n**3\/3 - 3*n. Let o(q) be the second derivative of l(q). Solve o(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302 = 48*q + 178 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/12, -5, 1\/165?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 14 - 7 - 4*a**3 + 2*a - 3*a**3 in the form i*a + o + q*a**3 + w*a**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0*x**3 - 1\/14*x**7 + 0 + 1\/4*x**4 - 3*x + 0*x**2 + 0*x**6 + 0*x**5. Find the third derivative of z(o) wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**6\/720 - u**4\/3 - 5*u. Let h(n) be the third derivative of f(n). Give h(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 1, 0.4, -82161?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11688948 and 8256?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 22*y**2 - 114*y - 19. What is the hundreds digit of z(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -245 times -122\nAnswer: 29890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*s + 468*s + 10 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*s - 6213 = -39*s + 10043 - 4880 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0.7. Let j = f + -1.6. Sort 3\/7, j, 2 in decreasing order.\nAnswer: 2, j, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 5*c + 6*c)*(-2*c**2 + c**2 + 2*c**2) + 3*c**3 - 2*c**3 + c**3 + (-4*c + 5*c - 5*c)*(-5*c**2 - 2*c**2 - 7*c**2).\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**5 + 16*v**4 + 2512*v**3 - 15040*v**2 + 19968*v = 0.\nAnswer: -26, 0, 2, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/2, 1\/3, 3, 25143, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4\/1485, 142.2 in increasing order.\nAnswer: -5, -4\/1485, 142.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 147 + 36 + 335 + 7*w + 19*w with respect to w.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4 - 2. Suppose 0 = x*j + 243 - 54. Let i = j + 856. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 10:45 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-8)*((-960)\/(-18))\/(-10). Find the common denominator of 18\/(-24)*91\/a and (-7)\/8*(-26)\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*(2 + 1 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.969337 rounded to three decimal places?\nAnswer: -0.969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-5 - (-4 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d25 (base 15) to base 5.\nAnswer: 404320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 23 (b) 473863 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8636126?\nAnswer: 2, 4318063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 10:16 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnrnnnnn. Give prob of sequence nnnn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 35*b**2 + 6*b - 2. Is y(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 714*t + 23136. Calculate y(34).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z + 29*z - 31857. Calculate the highest common divisor of 336 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 23*a + 1224 = 0. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m + 12*m + 2*m**2)*(-7 - 2 - 1 + 1 - 3 + 3 + 1 + 0 - 2 - 1 + 3 + 0 + (-1 + 6 - 3)*(-3 + 0 + 2) - 3 + 2 - 1).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17671132 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528426825?\nAnswer: 3, 5, 7045691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*u + 16 = 2*l, 0 = 2*l + 3*u - 7. Let j = 4 + l. Sort 5, -1, j.\nAnswer: -1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/52 - 11649\/132?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p + 24. Calculate y(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*p = p - 208, -3*j + 314 = 5*p. What is the least common multiple of 90 and j?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.533 to 2 decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 186206076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71844*k**2*s**2 + 2*k**2*s - k**2 - 7926*k wrt s?\nAnswer: -143688*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1885 - 4?\nAnswer: -1889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 5*k**2 - 8*k - 3. Let x = -25 - -22. What is m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 2*l**2 - 1. Let d(v) = -3*v**3 + v**2. What is -2*b(o) + 3*d(o)?\nAnswer: -5*o**3 - o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 1, -2\/5, -106, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81066 and 354.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 30 = -10*j. Suppose -j*b + 3*b + 12 = 0. Let t(a) = -a**3 + 7*a**2 - 5*a - 8. Let l be t(6). Sort b, 0, l.\nAnswer: l, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(245) + sqrt(45) + 3.\nAnswer: -4*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:56 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 1 - 1)*(2 + 1 + 0) + w + 0 + 0 + 12*w + 0*w + w to p + o*w and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15873, -15856, -15887, -15990, -16189, -16508, -16971?\nAnswer: -17602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -3, -4\/53, -11559?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -241*n**2 - 2*n**2 + 76*n**2 - 11*n**2 to a + q*n**2 + f*n and give q.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70908 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 2. Let k be v(-4). Let h = k + 1. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t**2 + 2*t + 1. Let k be z(-1). Suppose r + 3*w + 9 = -0*r, 2*w = r - 11. Let a = r - k. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 - 10*d + 4. Let t(w) = -6*w**2 + 9*w - 3. Let a(o) = -5*p(o) - 6*t(o). What are the prime factors of a(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12818 = 2*f, 56*m - 59*m + f + 7682 = 0. Is m a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/90 + 14\/5. Suppose -3*g + 18 = 3*v, 0*v + c*v = 4*g + 11. Solve 0*k - v = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13588 - 13588 + 145*o**2.\nAnswer: 145*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 556*k**2 - 161791*k + 9711. Calculate t(-211).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -1109 + 4*w**2 + 18*w - 14*w + 568 + 28*w + 601 = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minutes before 10:56 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-25)*r*r*r**(-25)*(r\/(r\/r**(-1\/10)))**(1\/2) assuming r is positive.\nAnswer: r**(-941\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15547\/10 + -1553. Find the common denominator of 0 + 1 + 290\/(-12) and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g. Let c be i(-1). Calculate the highest common divisor of 12 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125*-88.\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 + 156. Calculate the greatest common divisor of q and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(2*y + y - 5*y + (0 + 0 - 2)*(-1 + 4 - 4)*(-3*y + 2*y + 3*y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + l - 31697*l**2 - 72*l**3 + 63392*l**2 - 31695*l**2.\nAnswer: -72*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*n - 3*n - 2*n)*(-3*n + 0*n - 4*n) - 3*n**2 - 2*n**2 + 3*n**2)*((0*n + n - 2*n)*(-1 + 3*n**2 + 1) + 4*n**3 - 4*n**3 - n**3).\nAnswer: -244*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -189 + 31*h**2 - 4*h**2 + 171 + 20. Let y(n) be the first derivative of n**3\/3 + 2. Give w(y(q)).\nAnswer: 27*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/33 - 13\/(-3). Suppose 63*k - 108 = 27*k. Solve -5*z = -0*z + g, k*z = -3*a - 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1108100317 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1204, -2403, -3604, -4807, -6012, -7219?\nAnswer: -8428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515641 is divided by 23438?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 232 + 570 = 7*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -621, -635, -649, -663?\n\"Answer: -14*n - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -10*g**8\/63 + 32*g**7\/315 + g**6\/12 - 17*g**5\/180 + g**4\/36 - 63*g**2. Solve s(x) = 0 for x.\nAnswer: -1\/2, 0, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0*b**2 + 0 + 1\/6*b**3 + 7*b. Give q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*i - 21 = 2*r, 2*r = -i + 3. Suppose 5*g - 5 = -4*f + 55, 3*g + r*f = 39. What are 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 second smallest value in 0.3, 1\/11, 2\/3, -1, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tltttltttt. Give prob of picking 2 t.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -17361 = -2.7598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -917, -1376, -1835?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffsfffffssfffssf. Give prob of picking 3 f.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**4 + 0*h**4 + 1 + 7*h**4 + 0*h**2 + 2*h**2 to t*h**3 + y*h**2 + x*h + g + d*h**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-12 - -1) - (6 - -12 - (191 - 130)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w - 482 + 132 + 110 + 112.\nAnswer: -16*w - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 76*n - 30424 = 5159. Calculate the remainder when n is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 6\/11 (b) -123 (c) 19 (d) 8\/233 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 - 5 - 2 + 3 + 2 + (-4 + 0 + 5)*(5 - 1 - 2))*(83 - 28*t - 83) - 11*t + 20*t - 11 - 7*t in the form p + x*t and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 222\/25*p + 2\/25*p**3 + 272\/25 - 48\/25*p**2 = 0.\nAnswer: -1, 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 5:10 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d*((d**20\/d)\/d)\/d))**16 assuming d is positive.\nAnswer: d**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Suppose -3*q = -7*q + 5*c + 7, 0 = -2*c - 6. Let j = k - q. Calculate the remainder when 3 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 2*o**2 + 4*o**2)*(-23 - 4 + 60)*(36 - 16 + 19).\nAnswer: 2574*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189 + 231*z - 189)*(4 - 1 - 1).\nAnswer: 462*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.530483486 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-8 + (-28)\/(-5))\/((-1)\/600)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86, -81, -66, -35, 18?\n\"Answer: f**3 - f**2 + f - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r = -57*r - 69*r + 336 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2. Let n(j) = 7*j**2 + 4*j - 4. Let r(t) = -t + 1. Let l(a) = n(a) + 4*r(a). Calculate l(v(d)).\nAnswer: 28*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*c - 964, 66 + 175 = c + 5*t. Suppose 4*v = -21 + c. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.008616 or 2\/6985?\nAnswer: -0.008616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, -2\/9, -1082, -11\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -496 - -502. Let b(i) = 32 + 7*i + 5*i - 31 - 17*i + g*i. Calculate b(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*(sqrt(65) - (sqrt(65) - sqrt(65)*-2))*-2)\/(sqrt(80)*2*-6*-6).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:03 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 9544.2 and -3033\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/16)\/(0 + (-3)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 16*h**2 + 2*h - 25. Let v be r(16). Suppose 0*t + v*t = 0. Let w(s) = s**2 + 2*s + 3. Let x be w(-2). Put -3, x, t in decreasing order.\nAnswer: x, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 97*c + 1305. Calculate the remainder when g(-11) is divided by 46.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 14, -46, 1, 3 in decreasing order.\nAnswer: 14, 3, 1, 2\/3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -70, -155, -272, -421, -602?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 3615015?\nAnswer: 3615020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-116)\/(-20) + -5)*245 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 9, -3*w + 17 = 3*j + 5. Let l = 0.1 - -0.4. Which is the nearest to w? (a) l (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2354, 9437, 21250, 37793, 59066, 85069?\nAnswer: 115802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, v: 1}. Give prob of sequence ppv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmqmiiqrmimm. Give prob of picking 3 i and 1 q.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 69366.\nAnswer: 7\/34683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 6. Let s = -7 + r. Suppose -d + s = 3. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 114 = -2*z + 2*n, -2*n = -3*z + 66. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127177512 divided by -1.\nAnswer: 127177512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*c - 3*c. What is the remainder when 33 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 7*p**2 - 2*p - 2. Let f(g) = g + 5. Let d be f(-5). Suppose d = -3*x - x + 16. Does 8 divide i(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -12*z - 25. Solve -2*b - 5*n = z, -8*b = -4*b - 4*n + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*d - 49*d = 101970. Suppose -25*o - 9115 = -d. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by -6.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 23 (b) -2\/11 (c) -7852\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (453\/(-15))\/(2\/(-10))?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180532891, 361065784, 541598681, 722131582?\nAnswer: 902664487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -686 + 1525. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239225 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 1388.\nAnswer: 15268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:18 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ddndnnddddn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 270303.\nAnswer: 270303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(153)*-1)\/((sqrt(180)\/sqrt(5))\/sqrt(4)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*x + 0*x = -40, 0 = -3*r - 2*x + 10. Let d be (-8)\/r*(-15)\/10. Suppose v - z = 2*z - 6, 4*v = z - d. Which is greater: -4\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2515.2 centuries in months?\nAnswer: 3018240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/((-18)\/(-48)). Suppose 5*r - 31 = b*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**4\/12 + 7*w**3\/6 - w**2 + 2*w + 2. Let f(c) be the first derivative of t(c). What are the prime factors of f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - d**2 + d**2)*(9*d**2 + 16 + 9*d**2 - 19*d**2).\nAnswer: -5*d**4 + 80*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a hour in seconds?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**5 - 3*b**5 + 5*b**5 + (b - b + 2*b**4)*(-b + 6*b - 3*b) + 0*b**5 - 85*b**5 + 30*b**5 + (b - b + b)*(6*b - 11*b**4 - 6*b) + 2*b**5 - b + b.\nAnswer: -62*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073 plus -4?\nAnswer: -3.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, k: 3, f: 2, j: 10}. What is prob of picking 1 k and 1 x?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z + 170. Suppose -b + s = -94, -3*b + 4*b - z = 4*s. Let h be (-3)\/12 - b\/(-4). What is the greatest common factor of 36 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-35)*6\/8. What is the nearest to 0.5 in -5, 0, h, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1101\/46 + (-1080)\/(-16560).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 16 = -2*s - 2*w, -2 = 4*s - 5*w. Sort s, -5, 22 in decreasing order.\nAnswer: 22, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:01 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9488 - 7760 = 28*m. Which is smaller: m or -622?\nAnswer: -622","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66\/5 - 3*a**2 - 159\/5*a.\nAnswer: -3*(a + 11)*(5*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/83? (a) 4\/9 (b) -1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -49450239380 to the nearest one million.\nAnswer: -49450000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 164011\/4 greater than 41004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69\/61 in -0.07, -21, -0.3, 7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (5 + -2 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 24. Let y(a) = 0*a**h + 0*a**2 + 2*a**2 + a**2. Let o(i) = -8*i**2. Calculate o(y(c)).\nAnswer: -72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 267515245 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/792 and -61\/759.\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36900, -73937, -110974, -148011, -185048?\n\"Answer: -37037*d + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -2b2?\nAnswer: -2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007966707 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33650 minus 34825?\nAnswer: -68475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12150101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u + 2. Let t(d) be the third derivative of -d**4\/24 - d**3\/6 + 7*d**2. Let w(i) = -2*f(i) - 7*t(i). Give w(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120648 and -0.03.\nAnswer: 3619.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (11 - (6 + -7 + 7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12831 or 13009?\nAnswer: 12831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1455 = -8297*p + 8294*p. What is the least common multiple of 20 and p?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282 and 2318?\nAnswer: 326838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 6 - 2 + 136*q - 53*q**2 - 5 - 134*q to the form y + s*q + r*q**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2390 + -3375. Let h = -985 - s. Solve h = -a + 3, 5*r - 2 = 3*a - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-6)\/(sqrt(4) + sqrt(12)\/sqrt(363) - sqrt(4)).\nAnswer: -396*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*(-2 - -40). Let w = d - -104. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + a194143?\nAnswer: a194143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 3*b = -132, 4*b - 64 + 9 + 37 = 5*o - 84 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyypppp. Give prob of picking 2 p.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**6\/60 - r**5\/40 + r**4\/8 + r**3\/12 - r**2\/2 + 11*r. Suppose z(c) = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205666710 to the power of 1\/2, to the nearest integer?\nAnswer: 14341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*v - 1. Suppose 2*n - 8 = v, 5*w + n + 0 - 4 = 0. Sort -2, w, -8 in ascending order.\nAnswer: -8, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62615.92 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 39, 83, 145, 225, 323, 439?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3880 and 4.51.\nAnswer: -3875.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*d**2*j**2*k**2 + 18*d**2*j**2 + 3*d**2*j*k**2 - 31*d**2*k**2 + j*k**2 wrt j?\nAnswer: 24*d**2*k**2 + 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 = -7. Let v(d) = 3*d**3 - d**2 + 4*d + 2. Let k be v(o). Suppose 5*s + n = k, 220 = 4*s + n + 65. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32998689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 52 + c**2 - 163.\nAnswer: c**2 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -575687, -1151370, -1727053, -2302736, -2878419?\n\"Answer: -575683*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 289 - 205. Let f be 0 + (-5 - -7)\/((-2)\/(-12)). Calculate the greatest common factor of f and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*z**4 - 4763675*b*z**2 - 2*b - 60406246 with respect to z.\nAnswer: -12*b*z**3 - 9527350*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.009 + 21.95. Let n = 10.771 - z. Let m = 9.9 - n. Which is greater: m or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) - (-2*sqrt(324)*-1 - sqrt(324)))*4)\/((sqrt(36)*-2 - sqrt(36))\/sqrt(12) + sqrt(12)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 10 - 6. Calculate the greatest common divisor of 16 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-276)\/10)\/6 - (-9)\/15. Let q(u) = -6*u**3 - 6*u**2 - 10*u. Let h(s) = 7*s**3 + 6*s**2 + 11*s - 1. Let y(n) = -5*h(n) - 6*q(n). Calculate y(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-3*(-3)\/45*50. Solve -v = r - 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9808.2 rounded to the nearest one hundred?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 6:06 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:09 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-16.21\nAnswer: -16.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 2:30 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d996d (base 14) in base 2?\nAnswer: -110000111000001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29044 + 51589. Is a a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47094 is divided by 128.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r**2 - 641*r + 641*r.\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286117 plus 0.0501916125?\nAnswer: 1286117.0501916125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 130 - -b22?\nAnswer: c52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w = -39*w - 28 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 3. Calculate p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 1, s: 4, e: 4, x: 1}. Give prob of picking 1 b and 1 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110 (base 2) to base 4.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -49972280 > -49972279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -968*-3\nAnswer: 2904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from vddiddvudvyuiidiriu.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-672)\/(-1472)*212\/43407*13.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, -432, -56, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.2 * 0.2.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:23 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + u + 4. Let p be b(4). Let t(k) = -k**3 - 5*k**2 + 18*k - 7. Let i(q) = -16*q - 1. Calculate the remainder when t(p) is divided by i(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5671013892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 151*w**2 + 4*w - 25. Is v(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**3 + 129140*x**2 - 2325492*x + 10466172 = 0?\nAnswer: -32303, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/3 - 10*u**3 - 20*u**2\/3 + 40*u + 48.\nAnswer: 2*(u - 3)**2*(u + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13333, 6, 0.3 in ascending order.\nAnswer: 3\/13333, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33014327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -500578 and -0.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eox when three letters picked without replacement from {f: 5, o: 3, e: 1, x: 3}.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1104*d + 1 - 704*d + 8 - 7.\nAnswer: 400*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - h**2 + 2*h - 3. Let b be u(2). Let g(w) = -b*w**2 - 3 - w**3 - 1 - 2 - 3*w. Suppose 109*m - 107*m = -8. Determine g(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2448) - (-1 + sqrt(2448)))*1 + sqrt(34)\/sqrt(2) + 5 + (sqrt(612) + 0)**2).\nAnswer: 4*sqrt(17) + 2472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1903607*1\nAnswer: -0.1903607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0 + 0)*(t + t + 0*t) + t**2 + t**2 - 3*t**2 + (-9 - 7 + 10)*(-6*t**2 + 2*t**2 - 8*t**2)*(1 - 2 - 1).\nAnswer: -147*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -6, -24.9?\nAnswer: -24.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + ((9 - 4) + -12 - -4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntb when three letters picked without replacement from bbbtbnnnnb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31, -37, -33, -13, 29?\n\"Answer: a**3 - a**2 - 10*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 - 25 + 46 + (1 + 3 - 2)*(0 + 3 - 5) + 5 - 3 - 3 + (0 + 0 + 2)*(2 - 3 - 1))*(-15*x + 18*x - 9*x) as p + t*x and give t.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -17*o**3 - 6*o**2. Let h(w) = 52*w**3 + 17*w**2. Calculate -6*h(g) - 17*y(g).\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23472 and 36096.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 480.0204 + -480. Let g = -0.0304 + i. What is the biggest value in -1\/2, -4, 3\/4, g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**5 + 5*f**3 - 52*f**2 + 105*f + 5. Let j(x) = x**3 + x + 1. Let d(z) = -5*j(z) + l(z). Find the second derivative of d(i) wrt i.\nAnswer: -20*i**3 - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127621*f**2 + 899931 with respect to f.\nAnswer: -255242*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24948 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4\/4 + 5*b**3 - 23*b**2\/2 - 16*b + 2. Let s be m(11). Suppose -s = -4*r - 19. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**12*h)\/h)\/(h\/h**(1\/3)) assuming h is positive.\nAnswer: h**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 18*w = -1201 + 824. Let k(c) = -c**2 - 15*c + 58. Calculate k(w).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/324833 and 18\/1624165.\nAnswer: 1624165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 4*i**2 - i - 2. Let q be a(-3). Let y = 1330 + 211. Let f = y - 1351. Calculate the greatest common divisor of q and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*u - 200, 20*u - 25*u + 5*o + 350 = 0. Suppose 0*v + v = -4*t + 64, -t = 0. Calculate the remainder when v is divided by 2*u*(-5)\/(-40).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*n - 0*y + y, 4*n = 5*y - 17. Suppose 250 = 3*a + n*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + u - 3*u = -28, -6*r + 3*u + 2 = -2*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140b8 (base 14) to base 4.\nAnswer: -30012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(-5*(0 + sqrt(180))*-3 + ((sqrt(180) - (sqrt(180) - sqrt(180)*1)) + sqrt(180) + -5)*3))**2.\nAnswer: -137592*sqrt(5) + 2865961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -497115, -497116, -497117, -497118, -497119, -497120?\nAnswer: -497121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 164150 plus -73.480579?\nAnswer: 164076.519421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356280895.\nAnswer: 5, 191, 193, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*d + d. Let r(h) = -7*h**2 - h**d + 5*h - 12 + 10 - 2. Let s be r(-8). Solve 0*v = -4*v + s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -127 and 5.5.\nAnswer: -698.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 170602416?\nAnswer: 853012080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -277.7 times 702\nAnswer: -194945.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 2321211?\nAnswer: 2321201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*((-420)\/106 + (-432)\/11448)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1976*o - 2108*o + 2*o**3 + 4084*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -12. Let t = -7 + g. What is the smallest value in 2\/7, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50954115.\nAnswer: 3, 5, 83, 40927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**3 + l**2 + 8*l - 16. Let q(j) = 8*j**3 + 10*j - 15. Let v(h) = -6*q(h) + 7*r(h). Let f be v(-7). Solve 8*i = -f*i - 70 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 5:07 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1048 and 216024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*m**4\/13 - 174*m**3\/13 + 68*m**2\/13 - 6*m\/13 = 0. Calculate m.\nAnswer: 0, 1\/8, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from ojojitoooojjjjjoj?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 694.312s in nanoseconds?\nAnswer: 694312000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -387938, -387928, -387918, -387908, -387898?\n\"Answer: 10*y - 387948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z = -4*o + 24, 12 = 2*z - 5*o. Suppose -z*b + u = -7*b, 2*b - u = 0. Determine f so that b - 6\/5*f - 1\/5*f**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let u be (2 - 8)*(-3 - 1). Suppose -3*c - c + u = 0. Solve -1 + c = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3217 + -2127. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i - 864. Let s be a(-79). Sort -4, -185, s in descending order.\nAnswer: s, -4, -185","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15077701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (296 - 50*d - 32*d + 84*d)*(4*d + 3*d - 3*d).\nAnswer: 8*d**2 + 1184*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 19*o. Solve 6*t - 35 = 2*t - 3*r, o = 3*t - 3*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420615851177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 427889 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttmlmzttztz. What is prob of sequence lz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -29. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1*4\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 5 + 4 - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - f - 15, f = -3*f - 0*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.287 + 0.013. Let u = -3 + 0. Which is the smallest value? (a) u (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/6948 and 83\/8106.\nAnswer: 48636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66967, -66486, -65687, -64570?\nAnswer: -63135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 177.11 and -7.\nAnswer: 170.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(29\/5))**(-6\/11) assuming m is positive.\nAnswer: m**(144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 8:10 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 11:42 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -816407187882\nAnswer: -816407187882.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 + 0*y**2 + 5*y**2 + y**2. Let a(x) = 6*x**2. Calculate f(a(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3768 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2748526 and 5984.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 406312, 812129, 1217946, 1623763?\nAnswer: 2029580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -1.8?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14297*x**6 - 33*x**2 - 180?\nAnswer: 1715640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22304994 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5442322034 to the nearest integer?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (20 - 3 - -13) + -4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-4 - 7) - 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 148569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 - 8*f - 2. Let b(z) = -4*z**2 - 8*z - 2. Let m(p) = -2*b(p) + 3*t(p). Let g be m(-6). What is the highest common factor of 20 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.1 and -123678217466.53.\nAnswer: -123678217467.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/((-22344)\/57))\/((-3)\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-5 - (2 + (-9 - -4 - -7)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1716855892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -212220121?\nAnswer: -212220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248851011 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 527920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 117*j + 7. Let t be v(1). Suppose 0 = 3*z + 112 - t. Calculate the highest common divisor of z and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 0*v**5 - 15*v - 2\/3*v**6 - v**2 + 0*v**3 - 5\/2*v**4 + 15. What is the second derivative of q(b) wrt b?\nAnswer: -80*b**3 - 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/2 + -2)\/(-28 + (-5 - -32)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269091070?\nAnswer: 2, 5, 53, 507719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36539043 and 18899505?\nAnswer: 548085645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -255 * -8.3.\nAnswer: 2116.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from ixixixixixiissx.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-2 + (-1 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8.494607, -3\/4, -3, 0.4, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 223*s**2 - 115*s**2 - 107*s**2 + 57 + 15*s. Let w be j(-5). Solve -w*m + 3*m + 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2329*w - 11856 = -2493*w + 4510*w for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5 - 20 = 2*j, -5*c + 15 = j. Suppose 0 = 6*m - c*m. Solve 0 = -5*d + 3*l - m*l - 22, -d + 18 = 5*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 52. Suppose d*h - 14712 = -15*h. What are the prime factors of h?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 minutes before 6:39 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1361536 and -83\/1531728.\nAnswer: 12253824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -21, -4 in increasing order.\nAnswer: -21, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/25*((-76)\/40 - 24\/40). Which is the closest to -2? (a) 3 (b) -1\/4 (c) u (d) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - c - 2365238*c**2 + 2364807*c**2.\nAnswer: -431*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3, 673*i + 43314 = 5*x + 674*i. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -135, -4, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133447 is divided by 133209.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 4*m)*((2 + 1 - 1)*(2 + 3 - 4) + 3 - 3 - 1).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6. Solve -4 = -j + y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3868 divided by -1?\nAnswer: -3868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*u**5*z - 117*u**3*z**2 - 20*u**2*z**2 + u**2 - u*z**2 + 3*u wrt u?\nAnswer: 480*u**2*z - 702*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1\/5, -5, -0.042, -4, -0.2, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15849990\/25 - ((-16)\/(-10))\/(-4). Round o to the nearest 10000.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**3 - 3*p**2 + 3. Let n(c) = -28*c**3 + 10*c**2 - 10. Let i(j) = 4*j - 36. Let a be i(4). What is a*t(w) - 6*n(w)?\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 25*j**2 - 8*j + 71. Let g be y(26). Let s = -422 + g. What is the greatest common divisor of 78 and s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o - 27*o - 7*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 3244*d**2 + 847789*d + 2572590.\nAnswer: (d - 2957)*(d - 290)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 1. Let t be h(3). Suppose -4*p + 82 = -t*p. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3)\/(4 - 39\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swnbcwcnsbcnca. Give prob of sequence cnan.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 11*b - 19. Let d be i(7). Let q = -4 + 8. Sort 5, d, q in ascending order.\nAnswer: d, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 - 16*y + 20. Let f be o(12). Suppose -1379 = -w + f. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = 105*m - 1208. Let g(o) = 8*o - 5. Let k(v) = -1. Let n(b) = g(b) + 6*k(b). What is the remainder when n(11) is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.1. Let w be -1 + -1 - 66\/(-20). Let o = w + -9\/5. What is the nearest to j in o, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -14*s - 48. What is the units digit of (-1)\/6 + (-1780)\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 - 80. Let h = -10 + b. Let g be (h - 2)*2\/4 - -3. Solve -d - 2 = g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(2\/(-32)). Let n = -12 + w. Put -5, -2, n in descending order.\nAnswer: -2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + s + 2. Let d(w) = -w**2 - w + 1. Let g(k) = 5*k**2 + 6*k - 6. Let j(t) = 6*d(t) + g(t). Let q = -50 + 51. What is q*u(a) + 5*j(a)?\nAnswer: -2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -47, -262, -619, -1118?\n\"Answer: -71*q**2 - 2*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -28c2a5dd?\nAnswer: 28c2a5d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 6 = -3573*r + 3570*r, q - 2*r - 13 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1462*b**5 - 110*b?\nAnswer: 29240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15 - 0)*2\/(-6). Suppose -23 = 3*n - 6*n + g, -20 = -z*n - 2*g. Let l(f) = 7*f + 5. Is l(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 243 - 244. Let i(k) = 6*k**2 - 2*k + 2. Let s(m) = 2 + 0*m**2 - m - 1 + m**2. Give r*i(j) + 2*s(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2961*h + 35536. Give b(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y**3 - 18*y**2 + 8*y + 31. Let u(i) = 15*i**3 + 36*i**2 - 14*i - 63. Let s(m) = -13*j(m) - 6*u(m). Calculate s(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 18\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4\/3 - 606*c**3 + 123946*c**2 + 749138*c\/3 + 125160 = 0.\nAnswer: -1, 315, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189716 is divided by 63204.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*l + 108095 = -39793. What is the remainder when l is divided by 141?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 204236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9105292.755 and 8103.7?\nAnswer: 9113396.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -27\/40*s**5 - 14*s**4 - 4*s**2 - 16*s - 109\/9*s**3 - 3. Suppose m(b) = 0. What is b?\nAnswer: -12, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (-4*((sqrt(190) - sqrt(190)*3) + sqrt(190)) - sqrt(190)))\/((sqrt(450)\/sqrt(5) - sqrt(10)) + sqrt(10)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 62*h + 307. Let b be q(13). Let t(z) be the first derivative of z**3\/3 + 3*z**2\/2 - 12*z - 1. Does 19 divide t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*g + 5*g**2 - 3*g**2 - 37*g**3 + 28*g**3.\nAnswer: -9*g**3 + 2*g**2 - 96*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 35. Suppose 2*t = -2*a + 264, b*t + 4*a - 395 = t. Let f = t - 71. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-20) + 2\/5. Suppose -3*q + a*q + 402 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 5 - 14 + 9 to the form j*b**2 + w*b + u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -731*x - 201 wrt x.\nAnswer: -731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117.723 - 0.277. Let y = 118.00000109 + u. Round y to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)\/n)\/(n\/(n\/(n*n**(-1\/2)))))**(-16\/5)*(n**1*n)**(-1\/16)*n\/(n\/(n\/(n\/(n*n*n**(-2\/7)))))*n**(-2\/17) assuming n is positive.\nAnswer: n**(24249\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-50) + 2972\/10. Suppose -a - 764 = -z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 670065 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 126529?\nAnswer: -126534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 690*d + 692.\nAnswer: -2*(d - 346)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, 3\/5, -2, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1989)\/3094*-3*8\/108.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -606 - -605.548. Let k = v - -0.452. Which is the closest to k? (a) -2\/31 (b) -3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/1150703?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -37) + 4 + -12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/9 - 9490*h**3\/9 + 714086*h**2\/3 - 157940902*h\/9 + 3862160776\/9.\nAnswer: -2*(h - 73)**3*(h + 4964)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.205675743 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -89 + 216?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -310.581886 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -2ba7?\nAnswer: 2ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-14))\/(156\/14)*(-3)\/(-2)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 3728*a + 200532.\nAnswer: -4*(a - 51)*(a + 983)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m**2 - 23*m - 6*m**2 - 47 + 3*m + 16. Find the first derivative of d(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-7 - -21) - -13\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose 0 = -0*y + y + 5*p - 28, 5*p - 37 = -4*y. Suppose y*h = 3*f + 90, 5*h = -k*f + 82 + 82. What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 21. Let r be 4\/8 + o\/4. Suppose -8*t + 3*t = s + 15, 3*t = -4*s - 9. Put s, -2, r in ascending order.\nAnswer: -2, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2370)\/9 + 1)*-54 + 1. Suppose 6595 + h = 7*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16, -24, -32, -40?\n\"Answer: -8*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1090, -1085, -1068, -1033, -974, -885, -760, -593?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*l - 30, -3*x + 4*l + 11 + 35 = 0. Suppose x*y - 12*y = -2. Which is greater: y or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 divided by 6?\nAnswer: 157\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 8 = -14*l + 19*l, -3*l - 2*m = -9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1496314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -4) + (-3)\/(0 + 3). Solve s*j - 30 = 8*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:21 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqv when three letters picked without replacement from {v: 2, q: 1, x: 1, i: 4, b: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-1*12)\/4. Let p be t\/(1 - -1)*-1. Solve p = -5*u + 2*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4992\/112*(3010\/(-15))\/(-86)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -5*b - 2*t, 16 + 14 = b + 4*t. Calculate the remainder when (-6)\/(-27) - (-358)\/9 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i. Suppose t = 16 + 4. Suppose -2*h - 4*m + 11 = -m, -5*h + 2*m = t. Give l(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -35*a**2 + 31*a + 4. Let p(b) = b - 1. Let l(k) = i(k) - 6*p(k). Factor l(j).\nAnswer: -5*(j - 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 42*y + 1. Suppose -3*x = -5 - 4. Suppose -t + 8 = x*t. Is z(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 15859*j + 47565. Calculate h(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 1. Let y be r(2). Let h be ((-9)\/6)\/(y\/4). Let m(f) = h*f + 8*f**2 - 6*f**2 - 5*f**2 - 1. Calculate m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229800 is divided by 708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96552 times -0.1?\nAnswer: -9655.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*y = 2, y + 17 = -3*p + 2*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9493*p*u**3 - 47385*p*u + 3*u**4 wrt u?\nAnswer: -56958*p*u + 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6807.91861 + 6808. Round q to three dps.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (0 + sqrt(272))) + (sqrt(17) - sqrt(68)\/sqrt(4)) + 5 + (sqrt(85) + (sqrt(85) - (sqrt(85) - 4*sqrt(85)*-2 - sqrt(85))))\/(6*2*sqrt(5)).\nAnswer: -7*sqrt(17)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 5. Let c(k) = -2*k - 10. Let o(b) = -2*c(b) + 5*x(b). What is o(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3544702*n**2 - 7089436*n**2 + 3544720*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 0.4 (b) 2\/9 (c) -785 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 659*h**5\/5 - 3*h**2 + 7*h - 820. What is the second derivative of d(g) wrt g?\nAnswer: 7908*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 5*j**4\/4 - 26*j - 2. Let b(z) = -8*z**2. What is d(b(w))?\nAnswer: 960*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2995 and 365989?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 523 - 360. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**6\/6 + 2*k**5\/5 + k**4\/2 - 4*k**3\/3 - k**2\/2 + 2*k - 51. Solve o(u) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*m - 21 - 7, -5*m + 63 = 2*p. Calculate the smallest common multiple of m and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1872 and 3600363.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -26 (c) -893 (d) 0 (e) 3\/25 (f) 4\/7 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/(((-280)\/7)\/8).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76485239.\nAnswer: 73, 563, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 13*h**2 - 189*h + 1414. What is the remainder when 303 is divided by m(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q - 6*s + 36 = 0, 2*s = 2*q + 12. Solve -3 = -0*y - 2*y - v, q = -y + 3*v - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2 + -2)\/(6919\/1147 - 6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 18*d - d**3 - 20*d**2 + 14*d**2 + 7 + 20. What are the prime factors of v(-11)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-3) - (4 - 0). Solve -t*k**3 + 0*k**2 + k**4 + 0 + 0*k - 1\/3*k**5 = 0 for k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44327642 greater than 44327637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 - 0.05999995. Round c to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 7 + 5. Let n = m - 4. Let o be (n\/2)\/(5 - 3). Solve 0*z - 4*z = o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - 2*sqrt(216))\/sqrt(6))\/(-1*sqrt(1200)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 85?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15857188 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*w = -132*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5789 + -1699. Let g be 3 - (4 - v\/4). Let i = g + -8133\/8. Calculate the common denominator of i and -26\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w + 22*w - 40950. What is the common denominator of (1\/6)\/(420\/w) and 73\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.05 - 561265.\nAnswer: -561255.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.7 take away -87?\nAnswer: 14.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11492, -23012, -34532, -46052, -57572?\nAnswer: -69092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/18 and 11\/63543?\nAnswer: 381258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q - 15*q + 1 + 25*q + 3*q**3. Let f be p(-1). Put 2, f, -1 in descending order.\nAnswer: 2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640234333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2 - 9*f + 10. Let v be k(-10). Is 12 a factor of v\/(-10) + (-36)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 + 244. Suppose -825 = -14*m - 11*m. Calculate the remainder when i is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.32 + -2.32000143. What is o rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27097 + -2926567\/108. Calculate the common denominator of r and -13\/180.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m - 30. Let p be ((-6)\/4)\/(m\/872). Let f = p - 127. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k - 4*h + 31 = -7*h, -4991*h + 4989*h - 40 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 573 + -539. What is the remainder when j is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*t - 31596 = 0, -8*t + 7*t + 7905 = w. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-11 + 16 + -8))\/2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8661, -8554, -8375, -8124, -7801, -7406, -6939?\n\"Answer: 36*r**2 - r - 8696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/7 in -3, -1\/4, 220?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59284 = -2333*b - 7958 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by 6\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50059602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13*b**2 - b + 2. Suppose -2*l - 9 = -11. Is 12 a factor of j(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2. Let d(w) = -1482*w. Determine g(d(a)).\nAnswer: 2196324*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -46?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*o - 3)*(-4*o + 0*o + 3*o) - 9*o + 2*o**2 + 9*o + (o + 0*o + o)*(-1 + 1 + o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q + 196. Calculate the remainder when 10 is divided by x(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28986580 divided by -4204?\nAnswer: 6895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 17*b - 1938. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 v when four letters picked without replacement from vvhhh.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (100\/(-10) - -7))\/6?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d + 1 - 18*d**2 + 38*d**2 - 18*d**2 to the form t*d + l*d**2 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-36))\/((-5)\/(-90)). Solve -4*x = -3*r - 3, -4*x = -6*x + 2*r + s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 - -82. Let k(n) = 2*n**2 + 6*n + 7. Let h be k(-5). What is the tens digit of 166\/l + (-18)\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-652)\/(-978) - (-1460)\/(-12).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (219 + 11 - 710)*(-2*c - 1 + 1)*(-1 - 1 + 0 + (-3 + 2 + 2)*(-1 - 1 + 0)).\nAnswer: -3840*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/(8\/18)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -5, -2\/121, -1400.\nAnswer: -1400, -5, -0.09, -2\/121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 15022*v**2 - 30052*v.\nAnswer: 2*v*(v - 7513)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -400856*u - 397949*u + 775560*u as q + i*u and give i.\nAnswer: -23245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**2\/4 - 25745*l\/2 - 132561005\/4 = 0.\nAnswer: -5149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 22*w = -304. Suppose -14*i + 30 + w = 0. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-488)\/(-18))\/(-4) - (29 - 36). What is the second biggest value in -788, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 298.0958 and -223067.73.\nAnswer: -222769.6342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*o + 4*u - 7, 5*o = u - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6589 - 1.1589. What is the second smallest value in 0.01, -63, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 153\/1820 and -59\/28?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = 3. Is 9 a factor of 4061\/(-124)*(b - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -72453 (b) -5 (c) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = -4. Let y be 2\/(0 - 1) + t. Let l = y + 7. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167037166 to the power of 1\/3, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdmiddda. What is prob of picking 1 d, 1 i, and 2 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -518, -1571, -2700, -3905, -5186?\n\"Answer: -38*a**2 - 939*a + 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6867 - -1742. Let x = k + 5217.788. Let f = -93 + x. Round f to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 14. Let a = 22 + -12. Let w be k(a). Suppose -5*c = -q - 35, 2*c + 14 = w*c - q. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644 = 77*j + 15*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139898*p**3 - 629876*p.\nAnswer: 839388*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.3, -0.681?\nAnswer: -0.681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 243102438*y - 178863196.\nAnswer: 243102438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*j - 4*k + 17, 24 = j - 5*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13303021 (base 6) in base 12?\nAnswer: -194a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6285487 is divided by 1006?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -256043658 divided by 145977\nAnswer: -1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14283*l**5\/5 - 12572973*l**4\/5 - 1823295*l**3 - 330375*l**2 = 0. What is l?\nAnswer: -25\/69, 0, 881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((sqrt(85)*1)\/sqrt(5))**2 - (1 + sqrt(68))) + 1*(-2 + sqrt(1088) + -4)**2.\nAnswer: -97*sqrt(17) + 1106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2152 is divided by 655.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*(1 - -1))\/(2 + -9). What is the closest to 2 in -0.2, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0534 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Let m = 1 - h. Let v = -0.6 + 1. Which is the third biggest value? (a) 0.3 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-115)\/(-13) + (-12)\/(-78). Let q(z) = -2*z + 10. Let l be q(a). Let n(r) = 2*r - 9. Let o = -669 - -672. Let y(f) = f - 3. Determine l*y(s) + o*n(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -564666.9 - -66354.\nAnswer: -498312.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j*k + 22*j*w - 2*k*w - 57*k wrt w.\nAnswer: 22*j - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304 + -47. Let z = o - 254. Solve z*q - 2 - 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 19, -0.3, 1, -0.02?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 4*w, 0 = -7*j + 9*j - 5*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42635 is divided by 14157?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-22) - (-68)\/11. Let j(y) = 4 + 0 + 0*y - w*y. List the prime factors of j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 216179496.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let x(o) = -3*o + 33. Let k(q) = 6*w(q) + x(q). Let p be k(6). Do 52 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 6) to base 4.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5844 and -546.07.\nAnswer: -3191233.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 1:22 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.3, 0.01, 105?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -5302*((-5)\/(35\/(-84)*-2) + 5) and 1446.\nAnswer: 15906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*(-8)\/192*-50?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 2*u + 3*u. Let s(p) = 23*p**2 - 11*p. Let v(t) = 8*t**2 - 4*t. Let o(j) = 4*s(j) - 11*v(j). Calculate o(x(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -365, -351, -321, -269, -189, -75, 79, 279?\n\"Answer: i**3 + 2*i**2 + i - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d. Suppose 0 = -5*s + 692 - 712. Let j be s + (-15)\/5 + 2686\/391. Which is smaller: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -l + 79, 3*l + 2*n + 3*n = 235. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 3 - 41 = 0. Factor 34*j - 3*j**2 + 5*j**2 - 7826*j**4 + 7824*j**h - 10*j**3 + 0*j - 24.\nAnswer: -2*(j - 1)**2*(j + 3)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1193*s**5 - s**2 - 1535 wrt s?\nAnswer: -71580*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437994125667176 + m**3 + 437994125667176.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.8615052 days?\nAnswer: 74434.04928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 914748542 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/14)\/(-1 + 2 + 1). Solve f = -v - 2*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*i**2 + 110*i**2 + 334*i**2 + 3 - 3 + 26*i**2.\nAnswer: 97*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011010 (base 2) in base 11?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4468 is divided by 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nntnnntnnt. Give prob of picking 2 n.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.36 - -1.14. Let z = r + 6.5. Is z != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6041979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 + 6*t - 4. Let f(g) = -12*g**2 - 17*g + 11. Let h be 54\/4 - 1945\/778. Give h*v(j) + 4*f(j).\nAnswer: -4*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 81179.94 millennia in years?\nAnswer: 81179940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434847 < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23828844.\nAnswer: 2, 3, 13, 103, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 0.95. Let k = 2.94 + 0.06. Let x = y + k. Which is the third smallest value? (a) 3\/4 (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5125198 minus -41?\nAnswer: 41.5125198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 11:27 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-119985)\/(-20160) - 3\/(126\/2)*-2) + -6.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42934436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677 a factor of 159706520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + f = 6*p + 2950002, 0 = -4*p + 4*f - 2360008. What is p rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 a factor of 818560438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, s: 3, g: 3, t: 1, x: 3, n: 1}. What is prob of sequence xsx?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/8 - (-3 + 4*435\/96)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -219, -193, -129, -9, 185, 471, 867?\n\"Answer: 3*o**3 + o**2 + 2*o - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*z + 25615 = 5425 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/5))**(-33)\/(d\/(d\/(d*d**(-6\/5)*d)))**(6\/25))**(18\/13) assuming d is positive.\nAnswer: d**(-89532\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w**4 - 6*w**3 - 17*w - 6. Let k(q) = -21*q**4 + 11*q**3 + 33*q + 11. Let z(x) = 11*c(x) + 6*k(x). What is the second derivative of z(s) wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1313 + 1323 - 8*j + 1321 - 3957.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -8*g + 23*g. Put 1\/5, -3, 394, g in descending order.\nAnswer: 394, 1\/5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - (0 - -2)) + -2. Let n(l) be the first derivative of -1\/2*l**h + 2 + 0*l. Let b(c) = -2*c**2. What is n(b(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v**2 + 0*v**2 + (-1 + 2*v + 1)*(-6*v + v + 0*v))*(-55*v**3 + 18*v**3 - 9*v**3).\nAnswer: 414*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(5 - 3 - 3)*(-167*i**2 - 108*i**2 + 10*i**2).\nAnswer: -530*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/7 (b) 0.1 (c) -4\/839 (d) 0 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.5 - 7. Let i = h - -0.5. Which is the third smallest value? (a) i (b) -5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161890.\nAnswer: 2, 5, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -73. Does 18 divide -3 + (j + 18 - (-3)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1086 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-1)\/sqrt(2) + -2 - ((-6*(sqrt(28) + -2*sqrt(28) - sqrt(28)))\/(sqrt(64)*3))**2.\nAnswer: -9 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11, -0.3, -2, -1, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 596, 1177, 1744, 2291, 2812, 3301, 3752, 4159?\n\"Answer: -x**3 - x**2 + 591*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s + 44411 + 44566 - 89292 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**2 - 4*l. Let r(n) = -8*n**2 + 3*n. Let h be (40\/12)\/(6\/(-9)). Let w(u) = h*r(u) - 4*q(u). What is w(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 3. Let y = -66 - -66. Let w be j(y). Find the common denominator of (1 - w*219\/486) + -1 and -11\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 17 + 7 - 33*u + 3*u**2 as q*u + h + z*u**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-945)*2*3)\/(8\/10).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.026 + -0.022. Let m = y - -0.058. Which is the fourth biggest value? (a) -8\/5 (b) -1\/5 (c) m (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7 - 9*t - 16 - 8. Let r be a(-13). Let o = 33 - -7. Calculate the greatest common divisor of r and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 4. Let v(d) = 7*d + 24. Give -2*t(p) + v(p).\nAnswer: 9*p + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -1\/6, 0.5, -2, -1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1637?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, -3, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 4)*(-v + 0*v - v)*(0 + 0 + 23*v + 3) to the form h*v + q + a*v**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + (4 - 2))*-4. Let n(b) be the first derivative of -3\/4*b**t + 0*b**3 - 2*b + 1 + 0*b**2. Find the first derivative of n(c) wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213362*b**6 + 13*b**3 + 8572882*b**2.\nAnswer: 25603440*b**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000766 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-85)*(-3)\/(12\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 2, -2, -3, -7\/9, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 715461?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*v + 281*v = 12395. Which is greater: v or -326?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45999923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 157*v**2 + 80*v + 79.\nAnswer: -(v - 1)*(v + 79)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(((-36)\/(-27))\/(-20 - -12)). Let l be ((-2)\/5)\/((-1)\/10). Suppose o*s - 5 = l. Sort s, 4, -3, 2\/3.\nAnswer: -3, 2\/3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -0.8, 6.5, -1\/9?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 523 + -203. Suppose 0 = -5*x - 6*m + m + q, 135 = 2*x - 5*m. Let h = x - 30. Calculate the remainder when h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 20834*b + 187344.\nAnswer: 2*(b - 10408)*(b - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-9)*-6*-3. What is the units digit of f\/(-16)*(2 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**3 - 6020*o**2 + 1826812*o + 344424324 = 0.\nAnswer: -129, 817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0\/(-2))*3. Let f(i) = i**2 - 4. Let t be f(v). Suppose 8*z + w - 39 = 0, -4*w + 18 - 2 = 4*z. Solve 5*k + z = -t*g, g = -3*k - 3*g - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - -18 - (-22 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**3 - 2*p + 2. Calculate the remainder when n(2) is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 174.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2089 - 283. Does 86 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2783 + 2783. Put 1, 498, u in ascending order.\nAnswer: u, 1, 498","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8408*v**5*x + v*x - 688*v - 5*x + 1 wrt v.\nAnswer: -168160*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 30*s**2 - 54*s - 641. Let z be t(-29). Solve 70*n - 56*n - z = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 932 divided by -1.\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-459)\/(-189))\/((-867)\/(-238))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 4. Suppose 5*k = 5*y - 5, -k - y = -6*y + 17. Let r be g(k). Sort r, 0, -2 in descending order.\nAnswer: 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*r + 4, -3 = -g - 0*g + 3*r. Let l be (-15 - -30 - 17)*(-14 - g). Let z = 78 + -36. Calculate the highest common factor of l and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 t, and 1 i when four letters picked without replacement from {j: 4, a: 1, t: 2, i: 1, k: 7}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404148811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*6*(0 + -4 + (sqrt(112) - (-4 + sqrt(112)*2))))**2.\nAnswer: 258048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -357*v**3 + 18*v - 4*v**2 - 5835*v**4 + 2918*v**4 + 2916*v**4 - 97*v wrt v.\nAnswer: -24*v - 2142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*k**6 - 4097*k**3 + 415*k**2 + 24 wrt k?\nAnswer: -840*k**3 - 24582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 13*z**4\/4 - 7*z**3\/6 + 3*z**2\/2 + 12*z. Find the second derivative of t(r) wrt r.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -586, -1220, -1900, -2626?\nAnswer: -3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 836*s + 1362. What are the prime factors of t(14)?\nAnswer: 2, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8685235.37 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 886366647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52477, 52473, 52465, 52453, 52437, 52417?\n\"Answer: -2*k**2 + 2*k + 52477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -87334 less than or equal to -611342\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-13 - 1 - (16 - 19))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -71.883281804 + 0.054\nAnswer: -71.829281804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168006?\nAnswer: 2, 3, 28001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + i**2 + i - 1. Let a be m(1). Let k(r) = -3 - r - 6*r**2 + 24*r**a - 7*r**2 - 12*r**2. Suppose z = 6*z. Give k(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 3:31 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {w: 1, t: 5, g: 7, s: 5, a: 1}.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3971 less than 297?\nAnswer: 297.3971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/4 + 321*r**4\/2 - 9057*r**3 + 50550*r**2 - 98592*r + 64896 = 0. What is r?\nAnswer: 2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -74. Let p = 1.5 - -5.5. Let v = w - p. Is v < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3228, -3233, -3248, -3279, -3332, -3413, -3528?\nAnswer: -3683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 22*x - 49. Calculate the remainder when 104 is divided by c(17).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97074 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 5*t - 27. Give q(14).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96380 = s + 5*f + 96291, 17*s + 52*f = 919 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s\/((s\/(s\/s**3))\/s*s)*s*s*s)\/s)**(-2\/3)*s**(-7)*s*s*s**(-2\/37) assuming s is positive.\nAnswer: s**(-261\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -0.6. Let k = 12.933 + -13. Let g = 0.467 + k. Which is the closest to g? (a) w (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*z + 550*z - 8 = c, -z + 1 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 8*u - 9. Let g be r(6). Let v be 3 + (-5 + g - 1). Sort -3, v, 1 in descending order.\nAnswer: 1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t + 32*t - 112*t - 82 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 12:18 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 13*t**2 + 3. Let k(d) = -3*d**2. Give f(k(r)).\nAnswer: 117*r**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88091 is divided by 178?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3\/41, -0.06, 5, 20, -2 in ascending order.\nAnswer: -10, -2, -0.06, 3\/41, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - (-3 + -5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 17. Solve 3*m = w*x - 28, -4*x - 5 = -4*m - 37 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-2)*(-4)\/(-3). Suppose -5*f - 17 = -3*c, 3*c + 5*f = z + 1. Suppose 3*h = -2*h + 25. Solve -4*l = -8*l + h*i - c, -4*l - 4*i + 32 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66360)\/948)\/(28\/(-7)*(-1)\/(-2))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41989880 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3730568 divided by -932642.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18367, 18373, 18379?\nAnswer: 18385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 266 - -932. Suppose 0 = -14*n + 3550 - w. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8228 by 1.\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(10)\/(sqrt(2)*-3*-1) + -4).\nAnswer: -sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*g + 277 = -213. Which is bigger: 2\/83 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 10*j**2 - 22*j + 23. Let f be u(-12). Let h(n) = -121*n**3 - 2*n - 2. What is the remainder when h(f) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541517.\nAnswer: 29, 71, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1\/2, 4, 0.8 in decreasing order.\nAnswer: 4, 0.8, -1\/2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5176*a**5 + 9*a**2 - 10*a + 4891. Let v(d) = -2588*d**5 + 4*d**2 - 4*d + 2443. Let f(g) = -2*k(g) + 5*v(g). Find the third derivative of f(z) wrt z.\nAnswer: -155280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**3 + 5*r**3 - 3*r**3)*(0*r - 2*r + r) + 4*r**4 + 0*r**4 + 2*r**4 to k*r + y*r**3 + j + a*r**4 + g*r**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) -15 (c) 5 (d) 13\/8 (e) 0 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 6*f**2 - 35*f - 21. Let x be k(-10). Is x at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Let v(q) = q**2 - 4*q + 1. Let t(g) = g**2 - 4*g + 1. Let j(c) = c**3 - 3*c**2 - 4*c - 3. Let n be j(4). Let l(p) = n*t(p) + 2*v(p). Give l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 261, 510, 753, 990?\n\"Answer: -3*x**2 + 258*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**4\/4 + 7*h**3\/3 - 3*h**2 + 3*h + 22. Let m be a(6). Suppose 71 + 91 = m*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-34) + -2*1115*(-10)\/(-1700).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 237244 and 305028.\nAnswer: 2135196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -101*g - 2. Let u(p) = 4*p**2. Determine r(u(x)).\nAnswer: -404*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-11 + 23 + -5 + -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Suppose 54 + 20 = 5*d + k, -l*d - 3*k = -57. Solve z**2 + 15 - 2*z - d - 2*z**2 = 0 for z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 577*v**2 - 18 + 1166*v**2 - 2*v - 585*v**2 to the form u*v**2 + p + y*v and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4940 divide 486614700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b9 (base 12) in base 8?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1905 by -3.\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**6\/15 + f**4\/12 - 2*f + 1. Let j(v) be the first derivative of r(v). What is the third derivative of j(m) wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 9*w - 6. Let s be i(-9). Let j be (-15)\/(-45) + 218\/s. Let b be 8\/(-12)*j\/8. Solve y + 8*c = b*c - 18, 0 = -y + c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 12)*(12 + -13). Let y be (-25)\/(-15) - (-1)\/3. Let w(u) = -2*u**y - u - 11*u + 7 - 3*u. Let a(z) = z**2 + 8*z - 4. Calculate n*a(s) + 6*w(s).\nAnswer: -s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 7 = 7. Let v(b) be the third derivative of -b**2 - 1\/70*b**7 + 0*b**3 + 0*b**5 + 0 - 1\/40*b**6 + 0*b**4 + h*b. Factor v(n).\nAnswer: -3*n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwuwwwwuu. What is prob of sequence uu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 20283257828179 and 1.\nAnswer: 20283257828180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - -5)\/(2\/(-4)). Suppose 6*o - g = 2*o + 221, -127 = -h*o - 5*g. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1440*c - 1456*c + 4992 = 0. Let q = 73 - 34. What is the highest common factor of c and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7112813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 24 - 4*p**2 + 17*p**2 - 5*p**2 + 3*p**2 + (2*p - 4*p - p)*(p - p + p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4192789859 to four dps.\nAnswer: 0.4193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohh when three letters picked without replacement from {h: 2, o: 13, a: 5}?\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-3*5 - 2). Let z = 19695 + -19506. Calculate the remainder when z is divided by (6\/2)\/(1\/h).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 221.306 micrometers?\nAnswer: 0.221306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/751 + -21781\/1502. Let l be (-8)\/7552*(-10)\/3. Let w = -35641\/1416 + l. What is the common denominator of v and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -87\/22 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 13. Let b(p) = -p + 13. Let u be (6\/(-5))\/((-1)\/10). Let x be b(u). Solve 5*o - 7*o - t = -x, 0 = o + 4*t + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -3*a + 65, 35*a + 4*d - 3458 = -2428 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2 + 27\/(-15)). Let c(h) = 4*h + 6 - h**3 + 5*h + 3248*h**2 - 3243*h**2. Is 17 a factor of c(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3242, 3152, 3050, 2930, 2786?\n\"Answer: -u**3 - 83*u + 3326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -1, 13, 43, 95, 175, 289, 443?\n\"Answer: n**3 - n**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -8. Let o = -2 + m. Which is the biggest value? (a) -0.2 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 7*k + 48. What is the least common multiple of q(11) and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -52*p**3 + 1776*p**2 - 15300*p + 2312 = 0.\nAnswer: 2\/13, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/173, -1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 + 4\/3*b**3 + 4*b - 4*b**2.\nAnswer: 4*(b - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -122. Let t = -67 - a. Suppose 4*d + 2*h = 566, -4*h = -2*d - 0*h + 308. What is the highest common divisor of d and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 1, 0.2 in decreasing order.\nAnswer: 1, 0.2, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 813\/2 equal to 407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 2, a: 1, r: 1, y: 2, o: 1}. Give prob of sequence yyrt.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 467 = -199. Calculate the greatest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73e (base 15) to base 4\nAnswer: -121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, -10, -18, -14, 8, 54, 130?\n\"Answer: y**3 - 3*y**2 - 12*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230*d**2 - d**3 + 3633 - 3632 + 0*d**3 - 10*d**4 + 32*d**2 wrt d?\nAnswer: -240*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -9, -3, -958, 1 in descending order.\nAnswer: 1, -3, -9, -27, -958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18.5 from -78.\nAnswer: -96.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -7. Suppose -g*v - 3*d + 984 = 0, -3*v + 5*d = -v - 677. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/48*4\/48. Suppose 1 = -j + 4*l, 0 = 6*l - 7*l. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4286.968 litres to millilitres.\nAnswer: 4286968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 1, z: 7, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3282 and -1\/12034?\nAnswer: 36102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 22. Suppose 0 = -4*n - r + 318. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1800 and -127\/5400.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y - 5. Let k be (3\/(-9))\/(1 - (-76)\/(-72)). Let o(b) = 8*b + 6. Let w(q) = k*f(q) + 5*o(q). Let a(d) = 2*d. Calculate a(w(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.04 - -6.13. Let o(p) = p**3 + p**2 - 4*p - 3. Let w be o(-2). Put r, -2\/3, w in ascending order.\nAnswer: -2\/3, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145653 + -5?\nAnswer: 145645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*u - 5*l, -3 = -u + l. Solve -29 = -u*r - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 300 - -4861. Which is smaller: t or 25802\/5?\nAnswer: 25802\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219704 or 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 8. Let i = -5 + 16. Calculate the remainder when (40 + (p - -1))\/(-14 + 16) is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12728772 divided by 1788\nAnswer: 7119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 6*t**2 + 9*t - 10. Let u be f(7). Let o = u + -7. Let m = o - -20. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*4\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1048\/(-44) + 4\/(-22) - -4. Let y(k) = -12*k - 110. What is the tens digit of y(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/30 + 3\/10. Let n = 2507 - 82766\/33. Let l = n - -8\/11. What is the nearest to -1 in f, 1\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -o - 7210. Suppose -13*r + 149139 = o. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (871\/(-52))\/((-2)\/24). Suppose 17*q - 536 = 13*q. What is the greatest common divisor of q and n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 17. Let f = -3183 + 19099\/6. Which is the second biggest value? (a) g (b) 0.1 (c) f (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779037 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*k = -1059068 - 96936, 4*n + 3*k = -4623994. Round n to the nearest ten thousand.\nAnswer: -1160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -537, -2181, -4949, -8841, -13857, -19997, -27261?\n\"Answer: -562*n**2 + 42*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 3*r + 6. Let i be w(5). What are the prime factors of (-3 - -7)\/(i\/(-10))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -12*s**3 + 2*s**2 - 1. Let o(y) = -12*y + 34. Let f be o(3). What are the prime factors of k(f)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11602, -22817, -34030, -45241, -56450?\nAnswer: -67657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 23*o - 100 = 0. What is the second derivative of 16*s**4 + 4 - 16*s + o*s**4 + 10*s - 3 wrt s?\nAnswer: 252*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(3\/171). Suppose 3*d + k = 88. Solve w + d + 6 = -5*z, -w - 14 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10514851?\nAnswer: 907, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a**2 + 10*a**2 - 3*a**2 + (-5*a + 0*a + 2*a)*(0 + 0 + a))*(-a**2 - a**2 - 33*a**2) in the form g*a + r*a**2 + n*a**3 + c + t*a**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjsssssmmssmmjszs. Give prob of sequence mz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/7, 14, 6529\/5 in decreasing order.\nAnswer: 6529\/5, 14, 0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/4 + (-1)\/4. Let l be (h\/2)\/((-4)\/16). Let t be (1\/1)\/(l - -3). Does 0 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = w - 101, -112*b = -5*w - 110*b + 316. Calculate the smallest common multiple of w and 429.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 + 15*u - 3)*(-3 - 3*u**3 + 3) to the form n*u + f*u**2 + i*u**4 + t*u**3 + c and give i.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*y**5*z + 60392*y**3*z**3 - 13*y*z**3 + 36*y*z - y - 4*z**3 - 5 wrt y?\nAnswer: -180*y**3*z + 362352*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 22619678.8 to the nearest one hundred thousand.\nAnswer: 22600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9983 or 79.199?\nAnswer: -0.9983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5772.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 21354*b + 35 = -21358*b, 24 = -4*b for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*w + 498 + 166 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-520))\/((-77)\/4 - (-229 + 210)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - -53. What are the prime factors of b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42301121 (base 5) to base 8.\nAnswer: -1262006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, -19, 3\/2, -3.5, -1\/22?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*216\/450*(-1)\/((-31)\/155)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1144260990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + (1*sqrt(7)*2 + sqrt(7))**2) - -1*(-2 + (sqrt(7) - sqrt(7)*-1))**2.\nAnswer: -220 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 769878, 1539757, 2309636?\n\"Answer: 769879*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*z, 10*z - 5*z = 5*a + 10. Suppose -z = -5*w + 6. Find the second derivative of -c + 0*c**3 + 0*c**3 - w*c**5 wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 3*m**2 - m + 1. Let r(a) = 8*a - 2. Let j be r(-4). Let f = 40 + j. Is v(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - -6 - (-2 + 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-3) + (55 + -20)\/5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, o: 2, a: 1, i: 1, s: 2, c: 1}. What is prob of picking 1 i, 1 o, 1 a, and 1 s?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m - 3*m**2)*(-2274*m**2 + 1268*m**2 + 1201*m**2).\nAnswer: -585*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/89 + 2755\/356. Let o(f) = 6*f**2 - 2*f + 82. Let x be o(-12). Let b = 10722\/11 - x. Calculate the common denominator of z and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15416793*p**2 - 5*p - 1254234503 wrt p?\nAnswer: 30833586*p - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 103*r + 28*r + 9 as p*r + q and give p.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 579181272 and 1392?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/87)\/(u\/u**27) assuming u is positive.\nAnswer: u**(2264\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, h: 1, f: 5, q: 3, d: 2, m: 2}. What is prob of picking 1 d, 1 q, and 1 j?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 + 3*u**4 + 2*u**3 - 5*u**4 - 2*u**2 + 3497 - 3498 + 10*u**2 to k*u**4 + r*u + w*u**2 + m*u**3 + a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 3, v: 6, o: 1}. Give prob of sequence lo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wttttttwwttwtt. What is prob of picking 1 w and 2 t?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7208\/7 + -1028. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564 (base 12) in base 3?\nAnswer: -1002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 83.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2958871974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**(-5)*u)*u)\/(u*u\/u**(-1\/4)*u)*u**(1\/14)*u**2)\/(u*(u*u**1*u)\/u*u*(u\/(((u*u*u\/(u**(-3)*u))\/u)\/u*u)*u)\/u)**(2\/61) assuming u is positive.\nAnswer: u**(9887\/1708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/12 (b) 0.2 (c) 23\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -n + 17, -4*y + 25 - 5 = 4*n. Find the common denominator of (-74)\/1*y\/(-54) and 5\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - i. Let v be h(2). Let j**5 + 6*j - 2*j**5 - 4*j**2 + 6*j**4 + 0 - v - 4*j**3 - j**5 = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/24 and -13\/1100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18465, 37025, 55585, 74145?\n\"Answer: 18560*u - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 223584 and 6352416?\nAnswer: 107991072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgpzlpmllpggpzg. Give prob of picking 1 l, 1 r, and 1 p.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/((-510)\/(-90)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*z - 8. Factor -20 + 0*y**3 + 5*y**3 - 28*y - y**3 + 4 - z*y**2.\nAnswer: 4*(y - 4)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {c: 3, b: 13}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 - -83. Suppose 5*s = i*h + 475, -3*s = 3*h - 290 - 19. Calculate the greatest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -107*r**4 + 6*r**3 - 12*r + 180. Let q(p) = -108*p**4 + 5*p**3 - 10*p + 179. Let h(s) = -5*f(s) + 6*q(s). Find the first derivative of h(m) wrt m.\nAnswer: -452*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, w: 1, x: 3, e: 6}. What is prob of sequence kxex?\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/9 in 1\/3, 2\/5, -7, 19\/5, -1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-201)\/(-13) - (-3179 + 3212))\/(2\/13)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*m - 6017 - 2463 = -156*m for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/10 - 4)\/((-2)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -20*l**3 - 72*l**2 + 164*l + 120 = 0.\nAnswer: -5, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122 + -2?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9*-2*-2*(-3)\/(-9). Let v(p) = -2*p**3 + 24*p**2 + 2*p - 7. Calculate the remainder when 117 is divided by v(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 118 (b) -0.12 (c) -3\/7 (d) -1 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 = 4*t - 11, 3*t - 9 = a. Let k(f) = 3*f**3 - 2*f**3 + 7 - t*f + 0 + 11*f**2 - f. Is k(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5316025997 to the nearest integer?\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.112 in -1\/8, -4, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*m - 10 - 5 = 0, -2*o - m = -5. Which is smaller: 2\/297 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1026584, 1026614, 1026644, 1026674?\nAnswer: 1026704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3))\/(k\/(k*k**(-1\/5)))*k*k**(1\/4)*k**10 assuming k is positive.\nAnswer: k**(181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5\/10 - ((-115)\/10 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b + -4cb8?\nAnswer: -4c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -21 - j**2 - j**2 - 7*j + 45 - 17. Let p be q(-3). Let t be 1\/(-1) + (26 - 0). Calculate the highest common factor of t and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24676 by -2.\nAnswer: 12338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81696 is divided by 950?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -414 - 64*w + 70*w**2 + 64*w - 11*w**2 + 6*w**2 wrt w?\nAnswer: 130*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 12 - 24. Let i = 13 - g. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + 3*c**2 - 4*c. Let z(g) = 0*g**3 + 41*g - 4*g**2 - 36*g + 2*g**3. Let w(x) = -4*k(x) - 3*z(x). Find the second derivative of w(v) wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*f - 3*f - 15, -4*x + 5*f + 27 = 0. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/3 + 20*j**3 - 386*j**2\/3 - 320*j - 512\/3.\nAnswer: -2*(j - 16)**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d - 2*d**3 + 4*d + (0 + 0 - d**2)*(d - 2*d + 0*d) + (-4*d + 0*d + d)*(-1279*d - 9*d**2 + 1279*d).\nAnswer: 26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 42*t. Let h be w(-21). Suppose 0 = 4*f - 4 - h, -3*f - 5 = m. Suppose -36 = 4*b - 4. Is b at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(63)\/(sqrt(7) + sqrt(7)*2)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*v - 93*v - 41 + 39 - 4 + 4 - 2*v + (-4 + 3 - 1)*(-3*v - 3*v + 4*v).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 6*i - 6. Let p be v(-4). Let j be -2 + (p - 20)\/(-3). Let c(z) = -8*z - 4*z - z - 6*z**2 + 19*z - z**3 + 2*z**3. Give c(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/3*(-4)\/(-10). Let j be (5 - 12) + -1 + 6. Let y = -43.8 - -44. Which is the closest to g? (a) 1\/3 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44acd (base 16) in base 7?\nAnswer: 2251045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*t = 20, -2*t + t = x - 7. Let p(z) be the first derivative of 1\/4*z**2 - 1\/3*z**3 + 0*z - x + 1\/8*z**4. Factor p(q).\nAnswer: q*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/66*3*52*38\/247?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(132)*2)\/((sqrt(1728) - (sqrt(1728)*2 + sqrt(1728) + sqrt(1728))*5) + sqrt(1728)).\nAnswer: sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 minus -0.03?\nAnswer: -19.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/274, -2\/11, -0.5, 2.9, 0.5?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66993, 66992, 66991, 66990?\nAnswer: 66989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 6431\nAnswer: -75\/6431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 1078.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 10. Let i be (-6)\/(-3) + -2 + -1. Let n be i\/((1 + 1)\/(-16)). Does 9 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33639 is divided by 178.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q**2 + q)*(10 + 14 - 70*q - 29).\nAnswer: 140*q**3 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i**4\/3 - 4132*i**3\/9 + 33398*i**2\/9 + 51800*i\/9 - 8600\/3 = 0. What is i?\nAnswer: -5\/3, 2\/5, 10, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8228763 and 1998?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 8*s - 42. Calculate the lowest common multiple of 8 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -0.0569, 0.4, -262?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 549 = 2*k - 129, 4*k + 212 = i. Let s be 19 - (-3 - -9) - (-3)\/3. Calculate the greatest common factor of i and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c - 3. Let g = 1 - 3. Suppose -y + 551 - 554 = 0. Put y, g, c in decreasing order.\nAnswer: c, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521003?\nAnswer: 7, 263, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2100 or 2085?\nAnswer: 2100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r**3 + 10*r - 134. What is the hundreds digit of l(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - sqrt(150)*-2)*-4)\/(3*(sqrt(3) - sqrt(9)\/sqrt(3)) + (sqrt(3) - 2*sqrt(12))).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 821683909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6723950416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 - 79 - 4*u**2 - 85 - 87 + 342*u.\nAnswer: -4*u**2 + 342*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 12:38 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (4 - (-4 - -4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/21*(-49)\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -304000 + -233?\nAnswer: -304233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/6 - 526861*s**2\/3 = 0 for s.\nAnswer: -1053722, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248370508?\nAnswer: 2, 19, 53, 197, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -446569.08 - -0.3?\nAnswer: -446568.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88928 and 4648.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -3*k + 5 + 6, 3*n = -3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12 - 14\/(-8). Suppose -3*f = h*f + 3*n - 4, 0 = -3*f + 3*n + 12. Suppose w - 18 = 2*l + 7, -l - 59 = -f*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/113 in -2\/57, -2, -5?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3 - 139*s**2 + s**3 + 2*s + 44*s**2 + 41*s**2 + 45*s**2. Suppose 0*v = -2*v + 18. Let z be j(v). Solve 4*l = -4*d + 36, 0*d + z = -d + 5*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*b + b + b = 115, m - 15 = -2*b + 28 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - h. Let g be s(-2). Suppose -2*a - g = 0, 0 = 5*w - w + 4*a. Solve -4*l + 5*j + 23 = -w*l, 0 = -2*l + 4*j + 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) 1067 (c) -2738 (d) -3 (e) -3\/4 (f) 0 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 10*g - 16. Let m be q(-13). Suppose 0*z = -3*z - 42. Let c = z + m. Calculate the least common multiple of c and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6089119157.\nAnswer: 11, 1699, 325813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.64? (a) -30\/7 (b) -2 (c) -0.107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417188?\nAnswer: 2, 104297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101000111111 + 100001011001?\nAnswer: -1111000111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 19*z**2 - 17*z - 15. Give c(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-43 - -3)\/((-61)\/(-6) + -11). Suppose -6*f + 576 = -2*f. What is the highest common factor of u and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.2 - 13. Let p = -0.2 + v. Put -2, p, -1\/3 in decreasing order.\nAnswer: p, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 2*p - 228. Let o = p - -101. Let h = o + -25. Solve 6 = 5*s - h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19435 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 30. Solve 2*u - 2 = -0*u, 4*j = 3*u + s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l + 192 = 26*l. Suppose -10 = -4*u - 2*n + 180, -u - n = -l. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -333 - -4976. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j - 1. Let z be x(-1). Suppose 4 = -z*i + 16. Solve w + 4*w + 14 = 3*v, 14 = v - i*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -b + 1 - 9, 2*v + b - 12 = 0. Let q be 144\/24*(-5)\/(-2). Suppose 4*h - q = -3*f + v*f, -2*h + 3 = -5*f. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -543000 to the nearest ten thousand.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 60098, 238969, 537086, 954449?\n\"Answer: 59623*q**2 + 2*q + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 18*m**2 + 2. Let u be y(-18). Suppose u*a + 19 = 4*n - 3*n, 4*a = -n - 11. Differentiate 77*v - 38*v - n - 38*v with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -157811.1 - -157811. Let m = -0.3 - -0.29. What is the closest to v in m, 0.5, -0.1, -0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*(-8)\/32*2487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 6. Let b be (-1)\/2*184\/l. Suppose -4*i = -b - 34. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4 = -4. Let m be 1\/(-3) + 112\/21. Suppose 3*v - m*v + 68 = a. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**2 - a**4 + 0*a**2)*(-3 + 2 - 1) + 33*a**4 + 2*a**2 - 9 - 24*a**4 + 7 to the form u*a**2 + f*a + d + h*a**4 + v*a**3 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 56766*h**3 + 7*h - 56772*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1023 and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -297897 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*p + 21 = v - 244*p, 3*v - 2*p = 3. Sort -9, v, -0.6, 1\/2.\nAnswer: -9, v, -0.6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a13 (base 13) to base 2\nAnswer: -11010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7385426?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.303891 to two dps.\nAnswer: 63.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39616169 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-12)\/(-18))\/(1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422 divided by -6?\nAnswer: -1711\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 50 + 8 + 7 + 6*m + 3 + 25 + 11.\nAnswer: 4*m**2 + 6*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b**2 + 3*b - 10. Let y(x) = 12*x**2 - 2*x + 7. Let o(r) = -2*q(r) - 3*y(r). What is o(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-16372)\/84 - -3. Let a = -195 + u. Suppose 4*x - 6*x = 0. Is x bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 10*o + 1. Let z(b) = -b**2 - 7*b - 7. Let f be z(-4). Suppose -d + f*g + 8 = 0, -5*d - 26 = -13*g + 10*g. Give r(d).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 24. Let l = 341 + -3071\/9. What is the second biggest value in c, l, 4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192.44589 - -1.89\nAnswer: -190.55589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*h - 4080 + 1047 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15680 and 2042712?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 432*f - 431*f - 21 + 69*f**2 + 20.\nAnswer: 69*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, -4.7.\nAnswer: -5, -4.7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/6075*-9 + (-528)\/550?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g**2 + 7. Let i be q(-3). Suppose -v = -5*n + 139, 3*n - i = -5*v + 64. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11727540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by -32?\nAnswer: -97\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a - 560 = 0. Let q be ((-53766)\/29)\/(-18) - 23. Calculate the greatest common divisor of q and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11575534\/15 less than 771703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -5*j - 2. Let a = 7 - j. Solve -a*z - 10 = -5*y, -2*z = -6*z + y - 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14942.\nAnswer: 2, 31, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/5 and 0 + -3 - 10\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12296780, 0.2, 2, -2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10216 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -578, -1159, -1740, -2321, -2902?\nAnswer: -3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -13?\nAnswer: 44\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28989*j**4 + 0*j + 0*j**3 - 28992*j**4 - 15*j**2 - 2*j**3 - 7*j to the form m*j**3 + b*j**4 + y + f*j + o*j**2 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 201.8 + -209. Let j = y + 4.2. Which is the second smallest value? (a) 0.1 (b) 1\/8 (c) -25 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -20*(90\/(-25) + 3). Suppose -4*p = 4*g + 24, -3*p + q = -4*g - p. Let x(d) = d**3 + 6*d**2 + 7*d + 1. Let s be x(g). Solve -1 = 2*f + s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x. Suppose 2*o + 7 = -3*c - 10, 0 = 5*c - o + 24. What are the prime factors of t(c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 2, j: 1, k: 2, t: 1}. Give prob of sequence tc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 75, 101, 135, 177, 227?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 2493.\nAnswer: -2493.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5560 is divided by 397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 10*d - 16. What is p(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22704 + -15700. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 149?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 450?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 13*w**2 + 13 - 9*w**2 - 10*w - 3*w**2. Let z be h(9). Solve 5*d + k + 11 = -5, z*d + 9 = 3*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*s + 268 - 2716 = 0 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 163.74 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28281851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2812.3 + -2812.29999994972. Round j to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54264753?\nAnswer: 3, 43, 281, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3691, 40, -338?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 28. Calculate the greatest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -12. Let g = -8.3 + 8. Let c = -2\/10847 + 10851\/21694. What is the third smallest value in -2, c, t, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 6*c**2 + 5*c - 2. Let y be l(5). Suppose -13*f + 41 = 106. Sort f, 3, y in descending order.\nAnswer: 3, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545962699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76*7\/(-28) - -25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 839822692?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331 + -110?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(275\/(-22)))\/20\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100 and -1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19.75*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22101102 (base 3) to base 7\nAnswer: 23552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u - 1 = 0. Suppose 0 = 51*p - 40*p - 242. Calculate the lowest common multiple of (36\/8 - 4)*p and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2599*l - 14033 = 89*l - 89333 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/2*15*2. Suppose 2*t = -4*r + s, -3*t + 4*r - 8*r = -55. What is the remainder when t is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 32.054. Let j = -32.054 - i. Let v = j - -32. Which is the biggest value? (a) -2 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c + 1. Let k be (12*1)\/(-15 + 17). Let f = 8 - k. Let v(q) be the second derivative of q**3\/6 + q**2\/2 + 15*q - 2. Give f*v(d) - b(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -131176, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-848)\/(-3) + (-2 - (-4)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + 41 - 41.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9588.2 and -1309.2.\nAnswer: 8279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1993626, 7975105, 17944236, 31901019, 49845454?\n\"Answer: 1993826*x**2 + x - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 31. Solve g - 2 = 5*s - 3*c, -3*c = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63220 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*q + 99 + 80 + 82 = 0. Let a(p) be the third derivative of 22*p**2 - 1\/8*p**4 + 0 + 0*p + 0*p**q. Let f(o) = 2*o. Determine f(a(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**6\/6 + 249*q**4\/2 - 12*q**2 + 18*q - 1832. Find the second derivative of m(p) wrt p.\nAnswer: 20*p**3 + 2988*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5\/8 + 27*z**4\/4 + 7227*z**3\/8 - 47883*z**2\/4 - 27495*z = 0 for z.\nAnswer: -47, -2, 0, 15, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fthhjhhhhhkfhhhktvhh. What is prob of picking 1 k, 1 v, and 1 t?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, -0.09, 17\/2 in increasing order.\nAnswer: -0.09, 0.4, 3, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - (-5 - -9 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + k + 16980 = 0. Suppose 20*b = 15*b + 5*h + k, -3*h - 1132 = -4*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -718 - -670. Let h(b) = b**3 + 7*b**2 + 7*b + 4. Let c be h(-6). Let s be (-4)\/(q\/(-26) + c). What is the highest common divisor of s and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.7281 rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 665 * -668338\nAnswer: -444444770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/2 - (-3 - -7))\/(-7 + 4). What is the smallest value in 154, 6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4537*m + 6094*m - 9573*m to x*m + h and give x.\nAnswer: 1058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-6))\/(-2))\/(-1)*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (72\/(-30))\/(66\/(-55)). Let q(u) = 66 + 0*u - 67 + u. Give q(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 5*c - 4*c)*(34 + 63 + 1) as i + j*c and give j.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33\/(-22) + (-1)\/2*-13. Solve 3*d - w*v + 13 = -5, 0 = -4*v + 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -150548*d**2 + 38646.\nAnswer: -301096*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 3 - (27 + -14 + -8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*m - 4*m - 10, -2*m = -y - 21. Let a(p) = -874*p + m*p**2 + 874*p. Let j(g) = -2*g. Calculate j(a(s)).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 365 - 138. Suppose 2*q - 464 = 2*o, -m = 4*q - 5*q - 4*o. Calculate the greatest common factor of q and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 22613334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12240 and 11643300?\nAnswer: 46573200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 + 81. Solve 0 = g*y - 8 + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 989, 1 in descending order.\nAnswer: 989, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)\/(m\/((m\/((m*m**(1\/17))\/m))\/m))*(m\/(m**(-4\/3)*m*m*m)*m*m)**(2\/61) assuming m is positive.\nAnswer: m**(-9380\/3111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -410787\nAnswer: 2\/410787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*z + 495*z - 867 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q - 12 = 0. Suppose -66 = -q*i - 2*z, 0*z - z + 45 = 2*i. Let w = i + -20. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4886 - 0.4986. What is the fifth smallest value in -0.03, -0.2, 1, 0.4, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1642 + 3969. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 7*i**2 + 6*i + 1. Let q(a) = -a**3 - 7*a**2 - 6*a. Let c(l) = 3*d(l) + 2*q(l). Let h be c(-6). Let s = h + 0. Solve s*p - p = 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/40 and -89\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5512335 (base 6) to base 16.\nAnswer: 42e63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103047 is divided by 3128.\nAnswer: 2951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 0 + 1 - 13*t + 8*t**2 + 6*t in the form l*t + q*t**2 + g and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 59 = -2*h - 2*w, 4*w + 25 = 3*h. Suppose -8*x + h*x = 4*r - 3022, -2*r - 3*x + 1502 = 0. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + 2. Let n = q - 27. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5 + 2 = 0. Let z(t) = -3*t**2 - 2*t + 2. Let q be z(1). Let v be (q\/(-78))\/((-5)\/(-20)). What is the closest to 0 in v, n, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(1*8\/68). Does 4 divide q\/2 + (-2)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78.702 + 0.898. Let i = z - 16.3. Let u = i + -63. What is the closest to 1 in -0.11, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4439*b - 786 with respect to b.\nAnswer: -4439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -651\/2588 - -1\/647. Sort -2, -3, 14, a in increasing order.\nAnswer: -3, -2, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.3, 1\/4, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1295*y**3 - 42*y**2 - 121*y - 124*y - 136*y + 378*y wrt y?\nAnswer: 7770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 3. Let z be 390\/(-54) + 4\/18. What is the units digit of a(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, -1 in decreasing order.\nAnswer: 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 6*q**2 - 19*q + 91. Let d(i) = i**3 - 4*i**2 + 17*i - 91. Let u(v) = -2*b(v) - 3*d(v). Calculate the remainder when u(0) is divided by 81.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 - 15 = 0. Let j(f) be the first derivative of 2*f**3 + 1\/2*f**z + 2*f**2 + 1 + 0*f. Suppose j(y) = 0. What is y?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/42)\/((-2)\/(-20)). Suppose 2*b = -d*c + 25, 2*b - 2 - 19 = -c. Factor -6*g**3 - 5*g - 4*g**4 + 2*g**2 + 2 + b*g**3 + 3*g**5 - 2*g**5.\nAnswer: (g - 2)*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/4, 1, 336593, 0.1, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/10, 3, 2, 0.5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 477 - 475. Let k be -3 + 1 + (3 - g) + 1. Put k, -1, -4 in increasing order.\nAnswer: -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1423898 times -0.4\nAnswer: 569559.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31627700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 40\/2*(-151)\/(-604)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/4 and -77\/17368.\nAnswer: 17368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2606?\nAnswer: -2\/1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-351)\/65*15*(-23)\/(2898\/(-28)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22959 divided by 4\nAnswer: 22959\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 + -971\/7. Let z = -119 - -1191\/10. Let y = -2.44 + 1.94. What is the closest to 0.01 in y, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (86\/24 - (-7)\/(-28))*6. Let w = 22 - q. Find the third derivative of -j**w - 11*j**2 - 9*j**2 - 3*j**5 - 4*j**5 wrt j.\nAnswer: -420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, d: 4}. What is prob of sequence dadd?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 124?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -1 + 0*b**5 - 7\/30*b**6 - 23\/6*b**3 + 0*b**4 + 0*b**2 - 7*b - 1\/14*b**7. Find the second derivative of j(q) wrt q.\nAnswer: -60*q**3 - 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:13 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 51. What is q(25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -172, -568, -964, -1360?\n\"Answer: -396*c + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 5*w + 8, 34*w - 37*w - 5*p - 20 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 2*z + 128. Calculate the remainder when -18*(-4)\/(-8)*-7 is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 776, 1707, 3000, 4649?\nAnswer: 6648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -88. Suppose -6*w - 127 = -151. Calculate the remainder when y is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 + j - 1. Let r(t) = -5*t**2 - 19*t + 5. What is r(v) - u(v)?\nAnswer: -v**2 - 20*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 72\/5 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, -29 in ascending order.\nAnswer: -29, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1231 + -44?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-2*x**2 - 2*x**5 + 2*x**2) + 5366*x**5 + 4794*x**5 - 2272*x**5.\nAnswer: 7892*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3511907 and 1.9415217?\nAnswer: 3511905.0584783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 471 = 2*t + 1110, 0 = 4*z + 5*t - 1278. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*x - 1372 = 567*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*b - 289*b = 25, -3*r + 85 = b. Solve -r = 127*n - 142*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -142 - 5?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021469 rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1191 + 1128*q**2 + 1192 - 2383 to s*q + a*q**2 + x and give a.\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -0.21. Let i = 0.04 - 0.14. Which is the second biggest value? (a) i (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112116 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owtxtxtsxwlxtososos. Give prob of sequence ltt.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1630 + 8*c + 1630.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/12 + 5*v**3\/3 + 3*v**2 - 32*v\/3 + 2852. Factor q(a).\nAnswer: -(a - 16)*(a - 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q - 4. Let d = 4 - q. Solve d = t - 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - (-6885)\/(-18) - 2)*(-2 - 8)?\nAnswer: 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*74\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**3 - 2. Suppose -100*q + 42 = -98*q. Let u(p) = -34*p + q*p + 22*p. Give u(d(j)).\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 15, 27, 53, 99?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - k - 8, i + 68*k = 20 - 357 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - ((-10 - -17) + -11 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -483, -731, -975, -1215?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(68)*-2 + -1*sqrt(68)*-6 + sqrt(68))\/(-2*sqrt(400) + sqrt(4) + sqrt(196)*2)*-3)**2.\nAnswer: 666468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1059 divide 20158065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1281 times -2.6\nAnswer: -0.33306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55670 + -45465?\nAnswer: -123355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/105)\/(44\/55).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104793*g**2 - 100498*g wrt g.\nAnswer: -209586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4557 by -14032.\nAnswer: -4557\/14032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215701.\nAnswer: 41, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 46*d - 38*d + 40 + 0*d + 2*d**2 in the form g*d**2 + y*d + u and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 324\/13 equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 2*a**2 + a**2 + 3*a)*(-a**2 + 7*a**2 + 89*a**2).\nAnswer: -95*a**4 - 95*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 divided by 67?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (4\/10)\/((-1)\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 + 5*m + 175 + 463 - 6*m.\nAnswer: -m + 429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -25*g**8\/12 + 64*g**7\/21 + 137*g**6\/30 - 62*g**5\/15 - 26*g**4\/3 - 16*g**3\/3 + 24*g**2. Let r(w) = 0. What is w?\nAnswer: -2\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 36*n**2 + 935*n - 26. Let s(q) = -7*q**2 - 188*q + 5. Give 16*s(l) + 3*y(l).\nAnswer: -3*l**3 - 4*l**2 - 203*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -227*u + 117*u + 30*u**2 + 110*u to j*u**2 + a*u + z and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20202 - 111221?\nAnswer: -202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3*6\/72*9*20\/(-15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -10 (c) -27 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/6 - (-3 - (-22)\/6). What is i in 17*i**2 + 38*i + 0*i**d + 15*i**2 - 6*i**2 - 38*i**3 - 14*i**4 - 12 = 0?\nAnswer: -3, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.4, 2134453, 34?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 603, -1272, -6371, -16308, -32697, -57152?\n\"Answer: -269*h**3 + 2*h**2 + 2*h + 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/19))\/j*j\/(j*j\/j**(1\/4)*j)*(j\/(j*j**(2\/7)\/j))\/(j**(1\/4)*j) assuming j is positive.\nAnswer: j**(-290\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + (-4 + -10 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 1921 = 5*a - 1948, 5*a - 3*r = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - ((-4)\/(-6))\/1)*48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562400 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2101608, -2101618, -2101636, -2101662, -2101696, -2101738?\nAnswer: -2101788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10838 - 3232 = -3*m. What is the greatest common factor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 31. Let p be ((-4)\/(-5))\/(b\/225). Calculate the greatest common divisor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 575823 and 3997812.\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 5*q + 10, 1511*f - 1556*f + 2*q - 223 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(2 + (-140)\/65). Suppose j*b + 1885 = -1261. Let u = -140 - b. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 2024 = 107*a - 672 - 1035 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - o + 1. Let a(l) = -3*l**2 + l - 2. Let h(m) = 2*a(m) + 3*f(m). Let p(n) = -27*n**2 - n + 3. Let v be p(-2). Let b = v - -102. Give h(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11194, 21765, 32310, 42823, 53298, 63729, 74110, 84435?\n\"Answer: -f**3 - 7*f**2 + 10599*f + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -111.1. Suppose 2*u + 19*s - 22*s + 4 = 0, s - 4 = 0. What is the nearest to k in -34, u, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 390, 288, -172, -1110, -2646, -4900, -7992?\nAnswer: -12042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlhv when four letters picked without replacement from vbplkbkhvbkhkb.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -q - 6*n - 727, q = -3*n - 743. Is -731 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, m: 3, q: 3}. What is prob of sequence mq?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 11. Let v(h) = -1. Let q(p) = -g(p) - 4*v(p). Determine q(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/14)*w)**20 assuming w is positive.\nAnswer: w**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -6\/5, 17, 20, -4, -1\/49?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, e: 10}. What is prob of sequence gge?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 49.8. Let y = 3.8 - w. Let x = 0.009 - -2.991. What is the second smallest value in x, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.5 to 0 dps.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28079, 56081, 84083, 112085?\n\"Answer: 28002*t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/7287 and -55\/9.\nAnswer: 21861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*u + 278. What are the prime factors of u?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1923a9 - -2?\nAnswer: 1923ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-4))\/((-3)\/12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g**3 + 2*g + 2. Let c(q) = -12*q**3 - q**2 - 2*q - 3. Determine c(o) + 2*s(o).\nAnswer: 10*o**3 - o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 837335 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -5.42 in ascending order.\nAnswer: -5.42, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3\/7 - 4156*l**2\/7 - 2*l\/7 + 4156\/7 = 0.\nAnswer: -1, 1, 2078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {q: 2, f: 2, u: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 54*r**2 + 50*r - 116. What is the remainder when 77 is divided by z(-53)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48323.38 nanometers in millimeters?\nAnswer: 0.04832338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3148 times -0.2?\nAnswer: 629.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (-4 + (sqrt(1088)*1 - sqrt(1088))*6 + (1*sqrt(1088) + 3)*-4)**2 + 2).\nAnswer: 4096*sqrt(17) + 70652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30915, 5, -2, 4, -1, -4 in descending order.\nAnswer: 30915, 5, 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*g + 4, 4*b + 10*g - 18 = 9*g. Suppose 3*l = 4*h - 69 + 21, 0 = -b*h - l + 79. Let z be 11 - (1 - 0) - 0. Solve -h = 5*v + z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b + 2*k, 5*b + 7*k = 2*k - 25. Put 1, -1, b in decreasing order.\nAnswer: 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plpplllplpllp. What is prob of picking 4 l?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 879798 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m - 702 = 754 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6103400537+98\nAnswer: -6103400439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1188*q + 10697. Give y(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530\/(-5520) + (-4)\/(-15)*45\/(-414)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29664 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 531 + 23*s**2 - 531 to the form t*s**2 + i + u*s and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -l, 0*p - l = 3*p. Let x(d) be the second derivative of -d**5\/20 + d**4\/12 + d**3\/6 + d**2\/2 - 13*d - 89. Determine x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and 0.27.\nAnswer: 0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*-2*(6 + -9). Solve -d*j - g = 2*g + 3, 4*g = 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 31*u**2 - 228*u + 21. What is y(-12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 6*n = -92. Suppose 3*v - 5*v + n = u, -u + 3 = 0. Calculate the lowest common multiple of v and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -36*g + 615. Calculate c(14).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112.09998937 + -112.1. Round p to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 35009*0.1\nAnswer: 3500.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 156. Suppose 2*y - 3*r = o + 21, -9 = 3*r. Suppose 0 = -3*z + y - 12. Calculate the highest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-4)\/(-6))\/((-20)\/30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r**2 + 2*r - 1. Let w = -1 - -4. Let j(y) = y**2 - 10*y + 13. Let h be j(9). Suppose h - 1 = w*u. What is t(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/11 + 4036*w**2\/11 + 85638*w\/11.\nAnswer: -2*w*(w - 2039)*(w + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*r + 4*u = -16, 4*r - 2*u = -18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7\/3 = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 24 = d, 17*d - 12 = 2*v + 13*d. Let u(o) = o**3 + 9*o**2 + 15*o - 16. Give u(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.3 (c) -25070 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 - z**3 + 5*z**3 + (z + 1 - 1)*(0*z**2 - 5*z**2 + 0*z**2) - 52*z + 52*z + 37*z**3.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q + 39. Suppose -3 - 5 = -4*z. Let i be o(z). Sort -5, 0, i, 2 in decreasing order.\nAnswer: 2, 0, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 22*d. Let v(k) be the third derivative of k**5\/60 - 84*k**2. Determine v(p(s)).\nAnswer: 484*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 23 = 4*b, 4*v = -4*b - 8 + 40. Suppose 4*f - v*q = 105, 25 = f - 4*q + 3*q. Solve -f = 5*c - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 290 or 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1242 = 17223*a - 17269*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16575 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 320143991*w**4 + 429242708*w?\nAnswer: 3841727892*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6953*s**2 - 792 wrt s?\nAnswer: 13906*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*t + 16, 0 = -2*i + t - 1 - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 28*d + 25. Let o be g(-26). Let n = o - -235. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**3 - 5*g**2 + 5*g + 1995. Let q(k) = 3*k**3 + 2*k**2 - 2*k - 998. Give 2*f(l) + 5*q(l).\nAnswer: -l**3 - 1000","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1584) - (sqrt(1584) - ((sqrt(1584) - (-1 + sqrt(1584))) + -4)))**2 + -4 + (sqrt(1584)*1 + 3 + -5)**2).\nAnswer: -1593 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 63. Let j = 42 - 17. Suppose -4*l = l - j. Put l, 1, m in increasing order.\nAnswer: 1, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(180) + -2 + -4 + (-4 + (sqrt(80)\/(sqrt(32) - sqrt(8)))\/sqrt(2))**2.\nAnswer: -2*sqrt(5) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 10*t**5\/3 + 1273*t**4\/3 - 5343*t**3 + 10869*t**2 + 3753*t = 0.\nAnswer: -139, -3\/10, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -9. Suppose 4*p = -2*j - 4, -2*p + 4*j = -5 - 3. Suppose 2*c - 3*c + 4 = p. Solve -c*y = a*i - 3*y + 4, 4*y - 1 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -r - 4577, -17*j + r - 913 = -18*j. List the prime factors of 122\/j + 20443\/15.\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (108\/15 - -4)*45*32\/48. Calculate the highest common factor of o and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393 - 251*r**2 - 357 - 386 + 1523 - 387.\nAnswer: -251*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 + 7*z**3 + 7*z**3 + (3 - z - 3)*(-z**2 - 4 + 4) as d + r*z + u*z**3 + m*z**2 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyeewi. Give prob of picking 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 7 = -2*n, -20 = -4*d - 32 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -16*g - 5. Determine w(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 70\/(-80)*-8 - 5. Solve -15*g - k = 73 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -4)\/(52\/(-1456)). Suppose 30 = 2*x - 4*l - 30, -3*l - m = -3*x. Solve -3*o = x - 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 672 + -542. What is the greatest common divisor of 78 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8\/3)\/((f**(-13)*f)\/f)*(f\/f**(-2\/7))**(1\/24) assuming f is positive.\nAnswer: f**(1745\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.3 from -281469115331.\nAnswer: -281469115335.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 1. Let j(s) = 125*s + 175*s - 306*s + 1. Calculate -4*j(v) + 5*o(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**6 + v**5 + 220169*v**4 + 9586*v**2 - 11*v.\nAnswer: 120*v**3 + 60*v**2 + 5284056*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*l**2 - 18*l**2 + 66492*l + l**3 - 14*l**2 - 66725*l + 10 in the form t + y*l**2 + w*l + x*l**3 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*g - 10*g + 9*g to the form z + r*g and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -0*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -23) + -3 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ypphphpxppxh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + (-35)\/(-45)*-3 + 5232\/36 is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*v - 20 = -4*c + 106*v, 4*v = -4*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/15 and 57\/38*124\/(-200)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k. Let v(x) = -1474*x - 670. Let t(z) = 13*z + 6. Let g(l) = 335*t(l) + 3*v(l). Calculate j(g(p)).\nAnswer: -603*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*13\/13*-2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, j: 3, h: 1}. Give prob of picking 1 h and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 279017004?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 10 = 2602*k - 2603*k, 5*k + 15 = 0 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 36. Let j be x(15). Find the second derivative of 0*f + 3*f**2 + j*f**2 - 2*f wrt f.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -602\/87?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2245 (base 10) to base 15.\nAnswer: -9ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i + 39. Suppose l - 39 = 5*x - 7, 0 = l + 3. Let y be a(x). Let g(v) = -5*v**2 + v. Let c(f) = 2*f**2 - f. Give y*g(o) + 9*c(o).\nAnswer: -2*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15*u**2 + 14. Let s(l) = -8*l**2 - 8. Let t(i) = 4*j(i) + 7*s(i). Let q(p) = 30*p**2. Give t(q(d)).\nAnswer: 3600*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:50 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.713 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 489378752*f*p**3 + f*p**2 + 275*f*p + 292803*f wrt p?\nAnswer: 2936272512*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, 30, 78, 146, 234, 342, 470?\n\"Answer: 10*y**2 - 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -10.6. Which is the nearest to -2? (a) i (b) 1\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3103 = -6*o - 4*c + 2025, 3*o + c - 2566 = 0. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**3\/3 + 3*r**2\/2 + 7*r - 5. Let q be g(4). Suppose 61 = q*x - 47. What is the greatest common factor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, g: 9, w: 5}. Give prob of picking 2 g and 1 y.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27448000 divided by -50.\nAnswer: 548960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from nnwnnuu?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*y + 67*y = -4. Let m be y\/16*(6 - 4). Let v = -1.1 - -0.1. What is the closest to m in -5, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26331 - 26330.933. Which is smaller: 4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 12*p**2 - 12*p - 4. What is a(-12)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 - 17 = -3*y, -16 = -4*y. Let p = 2 - k. Calculate the lowest common multiple of p and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**3\/6 + f**2\/2 + 5*f. Give z(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9116 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46112 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1560.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 66?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1753481970 to the nearest integer?\nAnswer: 41875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111265 + -124150?\nAnswer: -12552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86428.\nAnswer: 2, 17, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + -8 - (-5 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**6\/18 + 16*o**5\/15 - 17*o**4\/12 + 843. Factor i(r).\nAnswer: r**3*(r - 1)*(r + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217 + -150. Let f = -66 + m. What is the closest to 1 in f, -5, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3879188\/76 + (-14)\/(-266).\nAnswer: 2, 3, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124683.9754 rounded to the nearest ten thousand?\nAnswer: -1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/48 in -12, -29, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 678, 2032, 4676, 9042, 15562, 24668?\nAnswer: 36792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1899, -3779, -5661, -7545, -9431, -11319, -13209?\n\"Answer: -q**2 - 1877*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14185\/4 + -3546. What is the smallest value in 4\/7, -3, -5\/12, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 26*a + 58. Determine u(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - k - 4*k)*(-2 + 1 + 0) + 5*k + 4*k - k + (-3*k + 5*k - 3*k)*(-3 + 2 + 3).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 539186877 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 68*j**2 - 120*j.\nAnswer: -4*j*(j + 2)*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c**5\/5 + 52*c**4\/5 + 22*c**3\/5 - 36*c**2\/5 = 0. Calculate c.\nAnswer: -1, 0, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -3\/7 (c) 3 (d) 532 (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-10))\/((-38)\/380)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -32. Let i = v + 6. Let h = -2.99999 - i. What is h rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -628412 - -628416. Let k = -0.7 + 0.2. Which is the biggest value? (a) -42\/13 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -121?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1177277765*u - 1177277770*u + 2354555536*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 826*a**2 + 1837*a**2 + 474*a**2.\nAnswer: 3137*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 233, 516, 907?\nAnswer: 1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.6781 to one dp.\nAnswer: -42.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 86. Determine r(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 5\/4*r**4 + 0*r**3 + 30*r + 36 + 0*r**2. Differentiate x(i) wrt i.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*j - 20 = 0, 48 = -z - 10*z + j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-11))**17)**(3\/7) assuming z is positive.\nAnswer: z**(-510\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 15*o**3 - o**2. Suppose -377*y + 13787 = 94*y + 340*y. Calculate the remainder when u(2) is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 1, e: 1, g: 2, z: 1, d: 1}. Give prob of sequence gz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -167529 and 416035252.\nAnswer: 415867723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (2 + -4 + -1 - -2). Suppose 3*n - q = 10. Solve -2*i - 2*i = 2*r - 14, -n*i = -r - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**5\/60 + o**4\/24 - o**3\/2 + 113*o**2. Suppose 3*n - 2*t + 2 = n, -t = -1. What is l(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 + 136. Suppose 0 = -7*o + 3*o + 68. Let f = 21 - o. Solve -l = l - 2*t, -f*l + 3*t = -i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -708.4 - -713.4. Let y = -9 - -13. What is the fourth smallest value in y, -2\/7, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 488527 + -2?\nAnswer: 488525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p\/(p\/p**(-5)))*p)*p*p)**(-37)\/(p**(-25)*p**(6\/5)*p*p) assuming p is positive.\nAnswer: p**(664\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 249, 2101, 6845, 15837, 30433, 51989?\n\"Answer: 226*x**3 + 90*x**2 - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -174*a + 197 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7 + 0 + g - 6 + 3 + 68*g**2. Let x be l(4). Suppose -k = k - x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26821486*s**4 - s - 2375344?\nAnswer: 107285944*s**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2328183 * -0.2\nAnswer: -465636.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1915 and 4101547.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*(-3*(sqrt(80) + -2) + sqrt(80)) + sqrt(80) + sqrt(80) + sqrt(80) + 3*(-1 + sqrt(80)) + ((sqrt(80) + 1 - sqrt(80)) + -3 - sqrt(80)) + 5)**2.\nAnswer: -1792*sqrt(5) + 4944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/276*(-104)\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 5\/(25\/30). Suppose 4*r = -o + 5, u*o - 2*o = -3*r + 10. Solve -p + r = 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 27*t**5\/5 + 715491*t**4\/5 + 95397*t**3 + 79497*t**2\/5 = 0.\nAnswer: -26499, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-1 + -6)) + -4. Solve -2*w + 3*w = t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*p - 0*p - 13, -h - 21 = 5*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 - 99. Let d = z - 79.0000047. What is d rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 19. Let g be s(8). Suppose -8*n + g*n + 30 = 0. Let w = 605 + -599. Solve w*i - i = n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*-4*4.\nAnswer: -176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021 (base 4) to base 5.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12964, 25910, 38832, 51730?\nAnswer: 64604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - s + 47 = 42, t - 3*s + 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 0.1, -2, 5 in ascending order.\nAnswer: -2, 0.09, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 1, f: 2}. What is prob of sequence jf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 25. Let x be 0 + p*(2 - 3). Which is bigger: x or 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21578 greater than 21578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0)\/(2\/8). Suppose 0 = 5*q - 2*q. Sort q, 1, t.\nAnswer: t, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 1. Let x = 13 - 8. Let m(l) = 18*l + 271. Let a be m(-15). Suppose 0 = q - x*p + 17, -3*p + a = 3*q - 2. Determine t(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -54 - 52. Let z = 55 + r. Let i(m) = -9*m**3 + 2*m - 10. Let k(p) = -27*p**3 + 7*p - 31. Let b(a) = z*k(a) - 7*i(a). Differentiate b(d) wrt d.\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*x + 2*x + 54, 5*a + x = 270. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7))**(3\/17) assuming s is positive.\nAnswer: s**(-6\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 108*v**2 - 215*v + 698. Let k be q(106). Calculate the highest common factor of 24320 and k.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -138*b**2. Let l(q) = 8266*q**2. Give c(l(f)).\nAnswer: -9429092328*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41147 + 5?\nAnswer: 41152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11431 - -11429.43. Round b to 2 dps.\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from nnkknkkknk.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*m + 5*m**2 - 26*m + 15*m**2 + 22*m wrt m.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -16 - 2*-1. Let g(v) = 6*v**3 + v**2 - 2*v + 2. Let y be g(1). Suppose 21*j = y*j. Sort -5, j, q.\nAnswer: q, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000010 - 10?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c**5 + 122684*c**4\/3 - 50020*c**3 - 195432*c**2 - 231766*c\/3 + 27268 = 0 for c.\nAnswer: -6817, -1, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -850 - -845. Sort -2, -71, a, 0.\nAnswer: -71, a, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 18509\nAnswer: 111054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icipktcut. What is prob of picking 1 c and 1 t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/330 + 7*s**4\/66 - 13*s**3\/33 + 8*s**2 - 2*s. Factor n(u).\nAnswer: -2*(u - 13)*(u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780092281?\nAnswer: 11, 443, 365297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465795993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 4836\/(-18) - 25\/15. Solve -28*q + 66*q = -a for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -592.2\nAnswer: -2368.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -127906.\nAnswer: 255812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -249*k**4 + 15*k**3 + 13958*k**2 + 296917366.\nAnswer: -996*k**3 + 45*k**2 + 27916*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-6*(sqrt(260) + 1*sqrt(260)))\/(5*(sqrt(320) + (2*sqrt(320) - sqrt(320)))))**2.\nAnswer: 468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*h + 286143 = 186*h. List the prime factors of h.\nAnswer: 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.6 + -0.4. Suppose -4*f + 2*b = 4, 4*b = 2*f - 162 + 164. What is the nearest to f in -0.5, d, -10\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 3:00 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:48 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 3. Suppose 2*p + 512 = -5*f - 2*p, 3*f = p - 314. Let k = f - -113. Calculate l(k).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45661 * 11081.\nAnswer: 505969541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/237544 and -103\/1884860?\nAnswer: 86703560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 80 = u, 5*u - 188 = 3*b + 184. Calculate the remainder when u is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((234\/(-1287))\/(1\/4))\/(42\/(-33)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20496 + -20096. Calculate the remainder when u is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - n**2 + 3*n + (-n + 2*n + 0*n)*(7 + 6*n - 7)*(-1 + 1 - 2) + 2*n - 9*n**2 + 17*n**2 - 9*n**2 in the form i*n**2 + j*n + c and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-8))\/11 + 261\/(-36)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2213031, 2213013, 2212995, 2212977, 2212959?\nAnswer: 2212941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 18\/7 + 9646614\/265167\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 94, 41, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/26 - (4 - 0 - 2). Is -2 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 17*n**2 - 3*n - 10. What is the remainder when w(7) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.09 - 14. Let j = 0.01 + l. Let u = -7 + 5. Which is the closest to j? (a) 0 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 38*s**2 + 768*s. Let a(i) = 67*i**2 + 1536*i. Determine 4*a(l) - 7*o(l).\nAnswer: 2*l**2 + 768*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 4*p**2 - 5*p + 1. Suppose 0 = 5*i - 1 - 14. Suppose -3*h = -4*m, -m + 4*m - i = 3*h. What is c(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120777910559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.568397394 less than -0.5?\nAnswer: -203.068397394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13436.2 and -0.9531277.\nAnswer: -13437.1531277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42332.7 nanograms to milligrams.\nAnswer: 0.0423327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*h + 28 = -2, 4*h = -5*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 892274 divided by 4\nAnswer: 446137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 565 = -x - 10*v, -5*v = -4*x + 2234. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 61.818741 minutes?\nAnswer: 0.04292968125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**2 - 2 + 6*n**3 - 7*n**3 + 4 - n**4 + 0*n**4 in the form i*n**3 + a*n**4 + r + b*n + l*n**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7433234 divided by -4?\nAnswer: 3716617\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/10 and -83\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 916\/5, -2, 3, 4, -3, 9.2, 0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*m**3 + 26*m**4 + 27*m**3 - 4*m**4 - 238*m wrt m.\nAnswer: 264*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*k*z**4 + 3*k*z + 2*k - 9*z**6 - 14*z**2 wrt z?\nAnswer: 624*k*z - 1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 2*s**2 - 3241*s. Let o(b) = -2*b + 5. Let n be o(4). Let q be (n - -1)*(-1)\/(-2). Let a(u) = u - 1. What is q*a(f) - h(f)?\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1786 - -2171. Calculate the greatest common divisor of 56 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 17 + 3)*(-4*g + 5*g + g).\nAnswer: 52*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 7*k + 4. Let d be n(-7). Suppose 9*y = 50*y + 205. Put -45, 5, y, d in descending order.\nAnswer: 5, d, y, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*j - 199*j + 610*j - 49715 = -160*j for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55531731.\nAnswer: 3, 83, 223019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 9, i: 6, y: 2, o: 1}. Give prob of picking 1 o, 1 i, and 1 p.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, i: 1}. What is prob of sequence itt?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -5*m + s, 3*m + 2*s + 0*s - 107 = 0. Suppose -5 = w + 2*p, -3*w - w = -3*p - m. Let a(r) = 5*r - 7. What is the tens digit of a(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1 - 21 = 0. Let t = -0.25 + -0.05. Let k = -573 - -573. Put t, x, k in increasing order.\nAnswer: x, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7036 - -8?\nAnswer: -7028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*w**2 + 96*w**2 + 47*w**2 + 39*w**2 - 310*w**2 + 45*w**2 + 44*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 12 - 2)*(-3*l + l + 0*l + (3*l - 3*l + l)*(6 - 2 - 2 + (0 - 1 + 0)*(3 - 3 - 1) + 0 + 1 + 0)) to s*l + x and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0772 plus 0.11?\nAnswer: 0.0328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 96*r = -95*r + 5, -4*x = 5*r + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*k**2 + 25*k**2 + 30*k**2 + 577*k - 2*k**3.\nAnswer: -2*k**3 + 577*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 6, u: 2, g: 10}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*p + 46*p + 67*p + 61*p**5 wrt p.\nAnswer: 1220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -408 divided by -1923\nAnswer: 136\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -291, -1343, -3093, -5535, -8663, -12471, -16953, -22103?\n\"Answer: p**3 - 355*p**2 + 6*p + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9)*6\/4. Let h = -3 - k. Let f(q) be the third derivative of -q**6\/60 - q**5\/15 - q**4\/12 + q**3\/6 + 3*q**2. Determine f(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 76*x - 2266. Determine r(48).\nAnswer: 1382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*i**3 - 35*i**2 - 1418 wrt i.\nAnswer: -63*i**2 - 70*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*n - 3212*n**5 + 65*n - 1266*n**5 - 12*n**2 + 8*n - 24*n wrt n.\nAnswer: -268680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1561392.\nAnswer: 2, 3, 7, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 83358708743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-63)\/9 + 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/140)\/(1000\/(-140)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9 + (-333)\/(-36)))\/(((-5)\/(-2))\/5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*6.42.\nAnswer: 0.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 3. Let s(b) = -b**2 - 5*b - 2. Let t be s(-3). Let h be (-1)\/((16\/20)\/t). Give l(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 - 2. Let m be (-22)\/20 - (-2)\/4. Let z = 0.3 - 0.6. Which is the nearest to 1? (a) q (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165571 - 82783 + 3632*j**2 - 82787 to the form n + l*j**2 + x*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-1*1\/(-2))\/(201\/402)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + 672*q**2 - 4*q - 157*q**2 + 2*q + 376*q**2 + 96*q**2 to the form b*q**3 + u + x*q**2 + w*q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 2. Let r be a(2). Let p = r + -16. Let n(v) = 14*v - 2. Let w(i) = -i. Calculate p*w(m) - n(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 417*y - 4. Let x be z(5). Let p = 3002 - x. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from afuuueutueau?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -15653?\nAnswer: 1\/15653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9987852 and 22472667.\nAnswer: 89890668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3791 (b) -4 (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = k - 126*o + 123*o, -2*o = -k + 46. What is the remainder when k is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10641640 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1165833.78.\nAnswer: -1165829.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 84. Suppose -y + s*x = 0, 0 = -3*y + 2*y + 3*x. Solve y = 4*t - 9 - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*l**2 - 145*l + 69*l + 76*l.\nAnswer: -141*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 14. Let y be (-156)\/(-11) + (-10)\/55. Let l be u(y). Solve -2\/3 + 4\/3*a - 4\/3*a**3 + 2\/3*a**4 + l*a**2 = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - -1 - (90 + -79).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 5:52 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 8. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-10\/3))\/((u*u\/(u\/u**(-1\/2)*u))\/u))\/((u*u**(2\/3)\/u)\/(u\/(u\/(u**4\/u)))))**(-14\/9) assuming u is positive.\nAnswer: u**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 6:50 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 565 + -926. Let d = -257 - a. Let c = d + -103.785. Round c to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88.77 - 90.57. What is the closest to a in 3, 0.09, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3981 + -1243. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -14*d - 50. Let x(c) = -3*c**2 + d*c**2 + 2*c**2 - 3*c**2. Let h(w) = 2*w**2. What is x(h(s))?\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1.475, 2\/9, 4 in decreasing order.\nAnswer: 4, 2, 2\/9, -1.475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210223979.\nAnswer: 7, 23, 1305739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 24. Let j(z) = z - 7. Let c be 44\/6 + 2\/(-6). Let v be j(c). Is i <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114910 - 61457. What are the prime factors of k?\nAnswer: 53453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.67575 rounded to one dp?\nAnswer: 29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -782058663.01 take away -0.822?\nAnswer: -782058662.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 72.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + (0 + 4 - ((-29 - -56) + -20) - 2).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -53*u + 2352. What is the smallest common multiple of g(44) and 5436?\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -8 - (-2 + 1 + 0 + 48 + 7).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182927943?\nAnswer: 3, 11, 615919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v**3 + 35*v**3 + 13*v**3)*(3 - v - 3) + 2*v**4 - v**2 - 3*v**3 + v**2.\nAnswer: -29*v**4 - 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1349? (a) -4 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369 and 40631?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**9\/504 - 8*i**7\/105 + 17*i**5\/10 - i**4\/24 - 542*i**2. What is the third derivative of w(c) wrt c?\nAnswer: 120*c**3 - 384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**2. Let n = -118 - -105. Let f(v) = -18*v**2 + 6*v - 6. Let q(z) = 37*z**2 - 13*z + 13. Let s(p) = n*f(p) - 6*q(p). What is c(s(x))?\nAnswer: -864*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4821100 to the nearest integer?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2272 is divided by 104.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2. Let z(h) = -14*h**3 - 3*h**2 - h + 2. Let x be z(-2). Let d = x + -83. Let s(p) = -14*p + 12*p - 10*p - d*p. Calculate s(l(q)).\nAnswer: 99*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 805201637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2705.\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 5*i**2 + 2*i - 3. Let l(a) = -a**3 + 8*a**2 - 7*a + 52. Let u be l(8). Let k be t(u). Solve -3*r + f = -2*r, 3*f + k = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 102 = 2. Let g(l) = l**3 + l**2 - 5*l - 3. Calculate the remainder when g(4) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 - 2*p - 1. Let l be i(-1). Let u be (-60)\/8 - 12\/l. Let h = 14 + u. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(960)\/sqrt(12)) + -2 - (-5 + (sqrt(117)*-1*5 + sqrt(117) + sqrt(117))\/sqrt(9))) + 2.\nAnswer: 5 + 13*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttxrrtttt. Give prob of sequence tr.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16*s**2 - 16*s - 25. Let o be (26\/(-4))\/((-6)\/(6 - 18)). Is l(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 129099, 258238, 387379, 516522, 645667, 774814?\n\"Answer: w**2 + 129136*w - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**3 + 204*x**2 + 360*x - 1568 = 0.\nAnswer: -49, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -k - 7, 0 = -5*k + 18 + 7. Let v be (p - 0)*(-7)\/(21\/8). List the prime factors of (276 + -4)*(-6)\/v.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -48?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -8 - (27 + -30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + (3 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000058826 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -11202?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812598267.\nAnswer: 3, 13, 20835853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*d + 13*d + 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**3\/2 - 3*z**2\/2 - 7*z. Let b(w) be the second derivative of -2*w**3\/3 + 2*w**2 + 2*w. Give -2*b(y) - 3*x(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117\/7 - -20. Let b = -179\/63 + s. Put b, -0.06, 3, -0.3 in descending order.\nAnswer: 3, b, -0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*p**3 + 45*p**3 - 75*p**3 - 85*p**3.\nAnswer: -215*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 318*o - 1381. Give y(5).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.06537322 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y - 15. Is k(12) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39695608 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a**4 + 8844*a**5 - 8828*a**5 - 4*a**3 - a**4 = 0. What is a?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -12*f**5 - 3172*f**4 - 41924*f**3 + 267412*f**2 - 396304*f + 174000 = 0.\nAnswer: -250, -58\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -0 - 7. Let c be 49\/35 + (0 - z). Determine u, given that -c*u**3 + 2\/5*u + 0 + 0*u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*r + 4*r + 47*r - 2*r)*(-4*r + 6*r - 49*r) to the form x + u*r + c*r**2 and give c.\nAnswer: -3102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 12:01 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270561.\nAnswer: 3, 90187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**3\/2 - 2*a. Let g(c) = -2*c. What is g(q(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -585208*k**3 + 6151677?\nAnswer: -1755624*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -590 - -591. Let u(p) = -p**3 + 7*p**2 - 5*p - 2. Let z be u(6). Suppose 12*s = 7*s + 10. Solve z*q - 6 = 2*t, -t = -q + s*t - l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*d - 1, -5*s = -2*d - 23 + 31. Sort -0.06, -0.08, s in descending order.\nAnswer: -0.06, -0.08, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -7 - 1) + 0 + (-21 - -23).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -13*m**6\/360 + 32*m**3 + 31*m**2 - 3. Let k(y) be the first derivative of c(y). Let g(d) = -8*d. What is g(k(h))?\nAnswer: 104*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 884*h**3 + 1760*h**2.\nAnswer: 2*h**2*(h - 440)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -0.32. What is the second smallest value in -0.07, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-20))\/d*d)\/d**(-27))\/((d**(1\/18)\/d)\/(d\/(d**(-27)*d)*d)) assuming d is positive.\nAnswer: d**(1385\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1850 - 1130. Is 45 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5533*f + 498 - 498 - 1901*f - 1858*f - 1772*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39566 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -73 - -68 - (0 + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.8 + 6.27. Let g = -0.83 - p. Which is the closest to 0? (a) -4 (b) -2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 11:36 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 - 178*z**2\/3 + 276*z + 336.\nAnswer: 2*(z - 84)*(z - 6)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 64123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 58, 138, 250, 394, 570?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvv. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 10 + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -16*g**3 - 4*g**2 - 13*g + 16. Let w be h(7). Let x = 9418 + w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*k + 442 = 66*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 3754 = -4*n + 1404. Calculate the greatest common divisor of n and 799.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32056 is divided by 632.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8348\/12513 - 2\/4171. Which is the smallest value? (a) 1\/8 (b) -0.4 (c) 0.4 (d) j (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3778194 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*y - 2. Calculate the remainder when 47 + ((-6)\/(-10) - 13\/5) is divided by -4*(-4 - (-6)\/y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 309.5.\nAnswer: 307.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 10*t + 37 = 6*t, 4*y + t + 71 = 0. Put -3, y, 3, 0 in decreasing order.\nAnswer: 3, 0, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooppopoooooo. What is prob of picking 3 o?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/70)\/(2\/40). Suppose -3*r - 3*z = 2*z + 10, -5*r - 4*z - n = 0. Solve -2*x + 2*w + 8 = -r*w, -5*x - w = -26 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1677, -926, -167, 600?\n\"Answer: 4*f**2 + 739*f - 2420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 16*v - 65 = 0. Is v <= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36505*l**2 + 72573*l**2 - 36388*l**2.\nAnswer: -320*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -7. Suppose 6*p - p = 0. Sort v, p, 7 in descending order.\nAnswer: 7, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -26951 and -26996 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18720 - 18724 + 37444 - f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0159 to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 4*l - 1. Let t be x(-3). Differentiate 2*z**4 - 3 + 2*z**t - 2*z**2 + 6 wrt z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 301 - -305. Suppose -4*i + d = g + 53, 568 = g + i. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279806 is divided by 46633?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11032)\/(-21))\/(-4)*6. Let s be (1\/2)\/(x\/8). Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16988 divided by -2\nAnswer: -8494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 + 3*c**2 - 4*c + 3. Let d(w) = -11*w**3 + 9*w**2 - 11*w + 8. Let s be (-54 - -51)*(11\/3 + -1). Determine s*o(v) + 3*d(v).\nAnswer: -v**3 + 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -45577.3085 rounded to the nearest 10?\nAnswer: -45580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 646 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -283*v**3 + 285*v**3 + 8*v**2 + 3*v**2 - 6 - 11*v**2 + 25*v in the form j*v + h + m*v**2 + l*v**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2150*m + 391308. Give s(182).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32*9\/(-180)*(-25)\/(-8)*600\/50.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 2*v**2 + 3*v**2 + 3*v)*(-v - 10 + 10)*(-3 + 0 + 2).\nAnswer: -v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 - (35 + 27 - 54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2946 + 2948. Solve 0 = 5*m - 3*u + 30, -m + v*u - 2 = 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**4 - 3*u**4 - u**2 + 4*u**2 + (-2*u + u + 0*u)*(-3*u + u + 0*u)*(4*u**2 + 3*u**2 - 6*u**2).\nAnswer: -u**4 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 7. What is the remainder when 18 is divided by o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -12.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11.3*229365\nAnswer: -2591824.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:55 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 404756 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 89011, 89031, 89065, 89113, 89175?\n\"Answer: 7*r**2 - r + 89005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*l - 81, -l - 303 = 4*j - 8*j. Let q = -4282 - -4303. Calculate the remainder when j is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/14)\/v*v**(-1\/12))**(-24\/7))**(-2\/13) assuming v is positive.\nAnswer: v**(-388\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 515 + -511. Suppose -5 + 28 = -4*v + 3*k, 3*v - m = -2*k. Sort v, 0, -45.\nAnswer: -45, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(7\/((-21)\/(-6)))*-4. Suppose -d = 3*z - 17. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/2)*p*p)\/p)\/(p**(-1\/6)\/p)*((p*p**(3\/2)\/p)\/p)\/p*p\/(p*p**7)*p assuming p is positive.\nAnswer: p**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6283 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*n = -349*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200201122 - 112?\nAnswer: 200201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 0*h**2 + 2*h**2 + (-4*h + h + 2*h)*(h - 1 + 1) - 3 + 3 - 2*h**2 + h**2 + 1503*h - 1518*h + 2*h**2.\nAnswer: -2*h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*c = 84, -3*j = 3*c - 0*c - 264. Suppose -3*m - 58 = -4*b, 5*m + b = 21 - j. Let o be (1 - m)\/(9\/924). What is o rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 - 4*n**2 + 2*n + 4633. What is the tens digit of q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -100010110110 (base 2) in base 10?\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1256 divided by -4.\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -296185900 to the nearest one million.\nAnswer: -296000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/(-36) + (2 - 1301\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383 = 5*g + k - 370, 4*k = -5*g - 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5683.5878 rounded to 0 decimal places?\nAnswer: -5684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (76 + (-13 - 7)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 16*k - 5. Let q be c(-11). Let y = q - -301. Calculate the greatest common factor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310030020 (base 4) to base 5.\nAnswer: -23320033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7627254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18548582*h**2*p + 2*h**2 - 55153554 wrt p?\nAnswer: 18548582*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1799, -1759, -1707, -1637, -1543?\n\"Answer: n**3 + 33*n - 1833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -16933845 + 305214375. Suppose -4*f + 46393245 = -l. What is f rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 2*(-3750)\/4. Let g(f) = -f**2 - 11*f + 324. Let y be g(13). Suppose -y*s - 397 + c = 0. List the prime factors of s.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.929 - -16.55286?\nAnswer: -29.37614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33354706 and 3717.\nAnswer: 300192354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + 2*q**2 + 2*q - 1. Let b be j(-2). Let a be (-4)\/((-40)\/946) + 6\/15. Calculate the highest common factor of a and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h - 11. Let i = 18 + -9. Let k(u) = 3*u - 7*u - i - 7 + 6. Let f(j) = 6*k(j) - 5*p(j). Give f(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 0.17762144597?\nAnswer: 20.17762144597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 + 4071*x**2 + 1375422*x + 38815224 = 0 for x.\nAnswer: -812, -514, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/4 of a meter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292753.3 days to nanoseconds.\nAnswer: 25293885120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 664, 1330, 1996, 2662?\n\"Answer: 666*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4795 + 1426 - 42*c - 1389 - 1477 - 1521*c wrt c.\nAnswer: -1563","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141754529 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 191 and -0.14962766825.\nAnswer: 190.85037233175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 5*l + 21. What is k(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 8*d**2 - 1. Let y be n(-8). Let l(h) = -4*h. Let o be l(y). Is 3 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99554.\nAnswer: 2, 7, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwdw when four letters picked without replacement from wwddwddddddd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.01083559 * 2\nAnswer: -0.02167118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 29*u**2 - 3*u. Let p(v) = -59*v**2 + 5*v. Give -3*p(q) - 5*w(q).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/18701590 and 67\/29922544.\nAnswer: 149612720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/4))**(3\/8) assuming m is positive.\nAnswer: m**(15\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 284 + 420 - 150 - 52.\nAnswer: 2*v**2 + 502","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.494 times 0.12\nAnswer: -0.05928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 20 - 9*t - t - 9 + t**2 + 0*t. Let i be v(7). Is 22 a factor of (14 - 0)*(-20)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 10) in base 3?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111807 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - -75 - ((-24)\/(-212))\/3?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58.96 + -58. Let u = c + -8.56. Round u to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, v: 1, o: 3, p: 2, e: 1}. What is prob of sequence ep?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -694, -1522, -2766, -4498, -6790, -9714?\nAnswer: -13342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1747*d - 1746*d - 5*f = 1931, 5*f - 7724 = -4*d. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-18)*k*k*k)\/(k**(11\/6)*k)*k\/k**(-33\/2)*(k*k**(-33))\/k)**(-2\/27) assuming k is positive.\nAnswer: k**(200\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g + 1740 = -54*g. Let t = -40913\/18 + 2279. What is the common denominator of t and 1\/(-2) - g\/110?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 1130 - 1131. What is the closest to h in 0, 60, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 2*d. Let w = -4 - -1. Let r = w - -2. Which is the nearest to r? (a) 3 (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = 3*r + 4*l, 2*r + 0*r - 4*l = 246. Suppose -99 - r = -v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/(833\/(-2226)) - 4\/(-7). Suppose n = k + 7. What is the remainder when n is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69100*y**2 - 69108*y**2 + 138216*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3930907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44 - 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9598513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 21 - 77. Let f be (s\/(-3))\/2*-3. Let t(c) be the third derivative of c**5\/60 - c**4\/4 - 3*c**3\/2 - 23*c**2. What is t(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00369216 rounded to 4 decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/1008*-33 + 4*2?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*n + 19*n + 24*n. Suppose -r = -n*r + 271. Is -273 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 4*h**3 + 4*h**3)*(-6 + 3*h + 6)*(-4*h - h + 15*h).\nAnswer: -30*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66262, -133868, -201474?\n\"Answer: -67606*g + 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 14*h + 4. Let i(a) = 15*a + 23. Let u be i(-2). Let p be o(u). Calculate the greatest common factor of p and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 178102468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-7 - 5) - (2 + 6) - -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04697977*3\nAnswer: -0.14093931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/3, -350, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-114))\/(-6*(-3)\/12). Which is the closest to -4\/3? (a) -1\/2 (b) n (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -45*y**3 - 23880*y**2 + 31900*y - 10640 = 0.\nAnswer: -532, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 21*p**2 + 4*p + 11. Suppose 10 = 6*x - 11*x, 3*t + 56 = 5*x. Let v be i(t). Round v to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 5)*1\/2. Solve -7 = -2*t - 4*h + 3, t + r*h - 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, -74, 1 in decreasing order.\nAnswer: 1, -74, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.745979l to millilitres.\nAnswer: 1745.979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71560, 71570, 71584, 71602?\nAnswer: 71624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 98*f**3 - 6*f**2 + 11*f + 28. What is d(-2)?\nAnswer: -802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 144. Let s(r) = 3*r + 21. Let g be s(10). Let b = u - g. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 4\/(-2))*-1. Let g(k) be the third derivative of k**5\/12 - k**4\/12 + k**3\/3 - k**2 - 35. Let p be g(0). Sort a, 5, p in descending order.\nAnswer: 5, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -564 - -568. Let a = -1766124\/77 - -22937. Let l = a + -1\/7. What is the nearest to l in 2\/11, -1, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -426, -739, -824, -567, 146, 1429, 3396?\n\"Answer: 19*o**3 - 446*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/4 (b) 1 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 180247 = 3*o - 46368, 4*o - 302135 = -3*x. Suppose 309470 = 5*j - o. What is j rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -1a6090?\nAnswer: 1a6089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + -261\/4. Which is the closest to 2? (a) h (b) 1\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k**2 + 4*k**2 - 2*k**2)*(-2 - 1 + 1) + 1 - 1 + k**2 - 3*k**2 - k**2 + 2*k**2 - k**2 - k**2 + 0*k**2)*(42 + 52 + 7) + 0*k - k**2 + 0*k.\nAnswer: -506*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = c + 12, 7*c + 18 = 3*c - y. Is ((-354)\/(-9))\/(c\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + l - 4. Let d be p(-3). Suppose 5*a + 3*m - 22 = 0, 3*a - d*m - 7 = 2*a. Solve 5*c - f + 0*f = 0, -4*f = a*c - 25 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/39467, -5, 3?\nAnswer: -4\/39467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + 2 - (10 + 63\/(-6) - -5). Let -t*h**2 - 7\/8*h**4 - 15\/4*h**3 + 0 - h = 0. Calculate h.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*s + 2*u + 6 = 103*s, 2*s = -10*u - 9*u + 51 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 2, 32, -78?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 15*k + 279 = 0. Suppose 5*m - 523 - 279 = -2*f, 1203 = 3*f - 4*m. Let q = f + k. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1926 and 126.\nAnswer: 13482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {g: 2, o: 1, u: 1, i: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390264765?\nAnswer: 3, 5, 11, 2365241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.3. Let b = -2.42 - -4.62. Let y = p - b. Put -4, 5, y in decreasing order.\nAnswer: 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1432550545, 1432550549, 1432550555, 1432550563?\nAnswer: 1432550573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/5*(45 + -5). Calculate the greatest common factor of i and 11752.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101133 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: 4999 divided by 5\nAnswer: 4999\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 342261884908 and 0.3?\nAnswer: 342261884907.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118097 is divided by 65.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 9185970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11002536.11082267 + 0.11082267. Let h = s - -11002583.999656. Let r = h + -48. What is r rounded to 5 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*q + 6*q - 6*q + (q + 0*q + 0*q)*(2 + 1 - 2))*((4 - 4 - 2)*(1 - 2 + 4) + 5 - 1 - 1) - 12*q + 0*q + 3*q to l*q + k and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 134747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*f + 49009, 0 = 3*f - 3*q - 9764 + 58781. What is f rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 147*v**4 + 0*v**3 + 156*v**4 + 271*v**4 + 107*v - v**3 wrt v?\nAnswer: 6888*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13300 (base 4) in base 6?\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zozzzyzyyyyo. Give prob of picking 4 z.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 67. Let n be 1\/j*-1 - (25 + -26). Solve -g - 10 = 3*v, n*v - 15 = 4*g - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.543 - -1.401. Let b = -8 + t. Round b to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**2 + 8 - 3 - 8)*(-3 + 1 - 1) in the form r*q + i + p*q**2 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8bc7 (base 15) in base 12?\nAnswer: 151ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1 + 28)) + 43 + -27 + -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - 7*x - 854347. Let c(f) = f. Determine a(c(j)).\nAnswer: -2*j**2 - 7*j - 854347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = -7. Let l be 145\/180*4 - 3. Let g = -0.22 + -0.08. What is the closest to 0 in v, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**2)**(11\/5)*a**5\/a**7)\/((a**(-2))**4*((a*a*(a\/a**8)\/a*a)\/a)\/a*a*a*a**9\/a) assuming a is positive.\nAnswer: a**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(76) + -1 - sqrt(76) - sqrt(76)) + sqrt(76) + (sqrt(76) + -1 + sqrt(76))**2 + 5 - ((sqrt(76) + 2 + sqrt(76))*1 + 3)**2.\nAnswer: -48*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 5*d + 6. Let z be t(-3). Suppose -4*o + z*r = 2*r - 42, -4*r = -20. Calculate the remainder when 13 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29367 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - sqrt(266)\/(sqrt(28) - sqrt(7)))\/(sqrt(18)\/(2*sqrt(9))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, n: 1, p: 2, x: 1, t: 2}. Give prob of picking 1 n, 1 t, and 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 22. Let u(r) = r + v + 9*r - 43. Is u(5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48683 bigger than 48704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/939453?\nAnswer: -2\/939453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + 2 - (-85 - -92).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 156 or 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310672897 and 596?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*z - 8*u - 50, 4*u = -4*z - 52. Let f(j) = -2*j**2 - 19*j + 46. Let y be f(3). Let c = z - y. What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k + 5. Let n(o) = -8*o - 7385. What is d(n(p))?\nAnswer: 24*p + 22160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354744 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1171933511 rounded to 5 decimal places?\nAnswer: -0.11719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -4\/7, 2, 2\/8511, -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9432 - 9414. What is the biggest value in f, 3, -197?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - 4 + x**3 + x**3 + 2 + 21*x**2 to the form d*x**2 + o*x + c*x**3 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 814178 and 1312?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53060 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (1*sqrt(104) - sqrt(104)))*-2)\/((-3*sqrt(80))\/sqrt(10)) - ((sqrt(1872) - (5 + sqrt(1872))*-5)*-5)**2.\nAnswer: -1700425 - 269998*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 2:21 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -20*d**2 + 1. Let t(c) = 26*c**2 - c + 3. Let a(g) = -2*j(g) - t(g). Calculate a(2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccww when four letters picked without replacement from wccwwwwwcwww.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.5204ng in micrograms?\nAnswer: 0.2215204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:22 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20510209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82373895 and 10983186?\nAnswer: 164747790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 + 0.11. Let h = 6.0964 - 0.0964. What is the third smallest value in 3\/7, h, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/170 + (-33)\/30. Let g = -0.01 - -2.01. Which is the third biggest value? (a) g (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -457*f**2. Let m(t) = -94*t. Determine m(v(r)).\nAnswer: 42958*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -12*w + 3. Let b be n(2). Let r = b - -15. Calculate the smallest common multiple of (r\/12)\/(2\/(-8)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/171)\/(1950\/(-129675))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5770 - -4294.\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35777\/1345 - (-26)\/(-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -26506.\nAnswer: 1\/13253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/5 + 5\/(-150). Let q = -8 - -13. Which is the nearest to 0.2? (a) -2\/7 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.5.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h*h**(-3\/8))\/((h\/(h*(h\/h**(-5))\/h))\/h**(2\/11)) assuming h is positive.\nAnswer: h**(951\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 25*m**2. Let z(d) = -638 + 638 + 2*d. What is z(s(t))?\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4104)\/(-45))\/19*-5*(-1)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-7 - (-6 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pajp when four letters picked without replacement from {j: 1, a: 9, p: 10}.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y = -12*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*a**5 - 4*a**5 + 5*a - 21*a wrt a?\nAnswer: 380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 495 - 3453\/7. Factor -4\/7*r**4 - q*r**2 + 4\/7*r + 0 + 12\/7*r**3.\nAnswer: -4*r*(r - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 + -47. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.1. Let u = 2.01 + -0.01. Sort -1\/2, u, g in descending order.\nAnswer: u, g, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 8 - 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 6. Suppose 74*s - 69*s - 20 = 0. Determine m(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -314?\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199 + 192. Let t(w) = 6*w**2 + 4*w + 52. Does 17 divide t(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82 times 17.72?\nAnswer: 14.5304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 959 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -0.1 (c) -2\/15 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 + 73970*n**2\/3 + 227103872*n - 16248907776.\nAnswer: 2*(n - 71)*(n + 18528)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3200192 is divided by 1254?\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 0*g + 0*g**5 - 3*g**4 + 16\/3*g**3 + 1\/3*g**6 - 3*g**2 - 87. Factor c(h).\nAnswer: 2*h*(h - 1)**3*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 55, 209, 465, 823?\n\"Answer: 51*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 31\/40, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1799 = -2*t + 1039, -2*t + 4*n + 2828 = 0. Let l = -827 + t. Is l equal to 597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 1\/60*n**5 + 19*n**2 + 0*n + 1\/8*n**4 - 2\/3*n**3 - 15. Let b(h) be the second derivative of c(h). Find a such that b(a) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 470533?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11936, 11609, 11282, 10955, 10628, 10301?\nAnswer: 9974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 4*k - 4. Let y(q) = 3*q**3 + 5*q - 5. Let b be 5 - (-2 + (-1 - -1)). Let z = b + -12. Determine z*u(i) + 4*y(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617246.\nAnswer: 2, 7, 44089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 31\/4 (c) -0.003 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 121136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*v + 90, -163 - 61 = 4*y + 3*v. Is -53 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 14*y - 1084. Suppose -2*w + 8 = -4*w, 2*w = 3*p - 17. Let l(o) = -2*o**2 + 27*o + 2169. Let s(x) = p*l(x) + 5*c(x). Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 167 + -49 + -71?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-3))\/14 + -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -211, 1, 3, 0, -75, 2 in increasing order.\nAnswer: -211, -75, -6, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)*h)**(1\/20)\/(h**(-1\/6)*h**(-1)*h))\/((h\/h**1)**(2\/19)*h**(-4)\/((h*h**0)\/h)) assuming h is positive.\nAnswer: h**(1777\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 6*x**2 + x - 17. Let l be k(-4). Let c be l\/(308\/(-16)) + 16\/28. Solve 2*h - 1 - 4 = -q, c = -4*h - 4*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m + 21. Let c be x(-13). Let l = -60 - c. Solve 0*q - l = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*v + 1 + 4*v**2 + (-4*v + 5*v - 2*v)*(-3*v + 3*v + 2*v) + 5 + v**2 - 5 - 2*v**2 + 0*v**2 - 2*v**2.\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**5\/15 + v**4\/24 - 5*v**3\/6 + 11*v**2. Let k(g) = -g**2 - 1. Determine f(s) - 5*k(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10)*(-975)\/(-11115).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400963415 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 2 (c) 7 (d) 0.6221 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 12. Let p = 13 - i. Suppose -p*m = -19 - 5. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6322 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: Suppose 4*w - 3*w = 4*m + 10, 0 = 2*w - 5*m - 17. Let o(x) = 3*x - w*x + x - 3 + x. What is the units digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2085 - -2085.6972. Let g = -0.72 + 0.02. Let j = g + z. What is j rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 2\/5 (b) 0.08 (c) 0.3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4379*k + 2057*k + 522*k - 324*k.\nAnswer: 6634*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vno when three letters picked without replacement from igoiouuuvni.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, q: 3, t: 3, e: 3, n: 1, u: 2}. Give prob of picking 1 a and 3 e.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 4 (b) 2 (c) 10\/9 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {p: 3, x: 1, e: 1, c: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k = 33*k - 16*k, c + 4 = 4*k - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11527*k**2 - 7*k - 5. What are the prime factors of p(-1)?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*c - 13 = 0, 5*s - 5*c = -c. Let u be 1\/((14\/s)\/(-7)). What is the tens digit of 5*(19\/5 + u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -4*v, -5*v = 781*b - 777*b + 200 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + (1 - (-12 + 5 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 779*r - 782 - 799 = 252*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.57 - -166.73. Round v to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -13*z - 1221. Let k be p(-94). Let j = -13 - -9. What is the closest to j in k, -1\/8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 5*s**2 + 5*s**4 + 4*s**2 - 4*s**2 + 2*s**4 + (-5*s - s + 5*s)*(-2 + s**3 + 2) + (-4 - 3 + 5)*(-11*s**4 - 2*s**4 + 0*s**4).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 838*j + 474*j + 10410 = -423*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/47220 and 81\/16700.\nAnswer: 39428700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/9, -0.2, 13\/4, 3\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 - 176 - 1106*k - 176 + 527.\nAnswer: -1106*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.166 + -0.166. What is the biggest value in -0.4, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296, 284, 274, 266?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 3*c + 4*c)*(-c - c + 4*c + c + 2 - 2 + 3*c - 4*c + 2*c + (3 + 2*c - 3)*(-3 + 5 + 0) - 39*c - 50*c - 48*c) as n*c + l*c**2 + v and give l.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*t - 29*t + 123 = -107 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -3 - 17\/2*u**2 - u + 1\/3*u**3 - 7\/2*u**4. Find the second derivative of f(p) wrt p.\nAnswer: -84*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -11. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4237688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 14.71253 kilograms?\nAnswer: 14712530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -576?\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213325?\nAnswer: 5, 7, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 17\/(-9) - (-6)\/(-54). Let g be k\/(-6)*0\/(-8). Solve g = -5*a, 5*x + 5 = 4*x - 3*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*r - 2)*((2 - 3 - 1)*(-3 + 0 + 1) - 5 - 11 + 17) as z*r + q and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10*w = -30. Suppose -w*s + 8 = -10*s. Sort 4, 0, s in decreasing order.\nAnswer: 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s)**(-7\/3)*s\/(((s\/(s**(-4\/5)*s))\/s)\/s)*s*s*s**(-3\/7)*((s*s*s**(1\/2)*s*s)**(-44\/7))**47 assuming s is positive.\nAnswer: s**(-46398\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, k: 9}. What is prob of picking 3 t and 1 k?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -862395?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -100?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0159 + -8.3641. Let o = q - -0.38. Is 2 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6467 = -485*p + 6878 + 5115 - 1485 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1042 - 32?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.2. Suppose -5*m - 21 = i - 3*i, -4 = 2*m - 3*i. Let w(k) = -k**2 - 6*k - 1. Let t be w(m). What is the third smallest value in r, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(6\/18*-3). Find the second derivative of 18*x**b - 4*x + 5*x + 29*x**3 + 6*x**3 + 24 wrt x.\nAnswer: 318*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2+-61949\nAnswer: -61947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 35496224336?\nAnswer: 35496224335.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:32 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16059 and 2067?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*c + 5*j = -98*c - 16990, -4*c + 5*j + 34000 = 0. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6553950 + 0.4.\nAnswer: 6553950.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-90) - (-16)\/(-180). Let j = 1.44 - 1. Let g = -0.06 - j. What is the second smallest value in g, 3\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gglx when four letters picked without replacement from xoxgloxxxgoxggg?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74.24 - 1.76. Let k = 8 - -68. Let o = h + k. Which is bigger: 9 or o?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0506*-204.\nAnswer: -10.3224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -33, -58, -89, -126, -169, -218?\n\"Answer: -3*i**2 - 10*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/39))\/(f\/(f**(2\/19)\/f)*f) assuming f is positive.\nAnswer: f**(-1423\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -180, -692, -1546, -2742, -4280, -6160, -8382?\n\"Answer: -171*k**2 + k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q + 8*q - 5*q**2 + (-3*q + 3*q - q)*(0*q - q - q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 750 + -723. Calculate the smallest common multiple of ((-1)\/((-2)\/(-36)))\/(-1) and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.41 + -0.06. Let u = -0.05 - d. Let i = 0.8 + -1. What is the biggest value in u, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g + 10 = -w, -5*w = -5*g + 75. Let r = w - -18. Suppose 0 = -5*z - 5*v + 48480, -20 = r*v + v. Round z to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10975, 43907, 98765, 175525, 274163, 394655, 536977?\nAnswer: 701105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 263268 and 128853?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -370 - -1578. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**0*c*c))**(-10\/9)\/((c\/(c*c**(3\/2)))\/(c*c**(-2)*c)))\/(c**1\/(((c\/(c**(-5)*c))\/c)\/c)*c**(-1\/3)\/((c*c*c**(-1\/4))\/c*c*c)) assuming c is positive.\nAnswer: c**(317\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = p + k, 4*k - 22 = -6. What is the closest to -1 in p, 0.2, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -8474\nAnswer: -59318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 397, 540, 683?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -2. Let j(z) = z**2 - 5*z + 3. Let c be (-2 + 1)\/(-2)*10. Calculate the remainder when f is divided by j(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3440 = 184*s + 26*s + 2230 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(1\/3))**(1\/3))**6)**(-12\/5))**19 assuming k is positive.\nAnswer: k**(-152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*g - 547 = -23*g - 1907. Let q be (2\/(-4))\/((-2)\/8). Suppose g*h = -5*j + 70, 6*j - 9*j + 52 = -q*h. What is the highest common divisor of 28 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 747*v - 748*v = -138, 0 = 2*t + 7*v for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 * 0.1833992.\nAnswer: -9.3533592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 + -217. Let r = b + 44. Let g be (-12 - r) + (-2)\/1. Solve -2*w - p = -10, g*w - p - 3*p = -4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w - 1. Let l(q) be the second derivative of -11*q**3\/3 + 3*q**2\/2 - 2*q + 249. Determine 2*l(b) + 5*p(b).\nAnswer: 11*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.517 + 0.427. Let y be ((-15)\/6 - -1)\/(-3). Which is the closest to 1\/4? (a) -2 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47303c (base 15) to base 11.\nAnswer: -1a1401a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -50*k + 3439. What is r(71)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 12751?\nAnswer: 12742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 15*c - 6. Suppose 2*z - 8 = -o, 4*o + 7 = 210*z - 205*z. Determine p(o).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59\/((-75225)\/135))\/(((-144)\/(-30))\/4)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.29 (c) -84.9 (d) 3 (e) -9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 11 + (13 - 1) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00136 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d9c - 1e86?\nAnswer: -8d33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-8)\/54)\/(180\/(-27))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38\/125 + 64\/375. Sort 52, 2\/9, a in ascending order.\nAnswer: a, 2\/9, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 93*n**2 - 10*n - 26. Is 6 a factor of h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15433 and 24103662.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {e: 3, i: 2, o: 2, k: 3, v: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 119473.4kg in milligrams?\nAnswer: 119473400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - (-6 + 4)) - (17 + -22).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-2)*((-10720)\/1407)\/(-80).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 7, w: 3, b: 3, i: 1, g: 3}. Give prob of sequence jwg.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arf when three letters picked without replacement from {p: 4, r: 2, q: 4, a: 2, f: 7, v: 1}?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-16) - -3)*(6 - (-396)\/(-27)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 - -1.4. Let g = 0.29 + 0.01. Suppose 0 = -26*p + 12*p + 15*p. Which is the third biggest value? (a) p (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -21.\nAnswer: 19\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 348 = -3*f + 365, -3*d - 5*f - 1079 = 0. Put -4, 1, d in decreasing order.\nAnswer: 1, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -120*n**2 + 275*n + 6971. What is v(9)?\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787242.8 grams to tonnes.\nAnswer: 0.7872428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527205835.\nAnswer: 5, 13, 8110859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 15*u**4 + 50*u**3 + 45*u**2 + 10*u = 0?\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - v = 21 - 2, 0 = -5*z + 2*v + 30. Calculate the highest common divisor of 56 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/26*2\/54*-4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 22872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 0.027933?\nAnswer: 3.027933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -351*-0.2\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131223268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -68*u + 2305. Calculate i(32).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064708693.\nAnswer: 691, 1540823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/2286 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 294\/63*(-6)\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*i = 5, 0 = 9*o - 5*o - 3*i - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 467700163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 8 = 5*p. Suppose 5*z + 6 = 4*u, 0 = 5*z - p*u - 2*u + 10. Suppose -z*x + 2 = -18. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(288) - sqrt(288)*-5) + -1 - (4 + sqrt(288) + 3))**2*-1.\nAnswer: -21792 + 2880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 508*-11650\nAnswer: -5918200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -2928577\nAnswer: -2928577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = 4. Suppose 4*d + 20 = 4*n, 5*d + l = -4*n + n. Solve -2*o + u = -2*u, -o + n*u = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + c - 33, 0 = m + 2*c - 0 - 12. Let d = m - 0. Let f = 1760 + -1756. Calculate the highest common divisor of f and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 + 11 + 3 + (-3)\/2. Which is smaller: x or 233?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 5:34 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 44, -0.1, 0.025, -0.3, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -32 - ((-7 - -5) + 5 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 14515 - 11535 = -2*g, g - 2*n - 13025 = 0. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1786.9 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from rhhrhhrhhhcrh?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 8*n - 54. Let i be (n\/(-6))\/(3\/(-6)). Factor 0*u**2 + 26 - 17 - 6*u - i*u**2.\nAnswer: -3*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/176 and 1\/19874888.\nAnswer: 39749776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4434*x - 4432*x = -8868*x + 2, -4*t + 87 = -x for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1044 - 993. Let t = 0.2 - 0.3. Is c at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/14*(-852)\/781?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 1 = -3*x - 5*k, -5*k - 10 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvvv when four letters picked without replacement from {c: 5, v: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -508.\nAnswer: -3\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 42333000 to the nearest one million.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 12) to base 7\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.00046 not equal to 2\/457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 2\/126*847)*(-63)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + 41. Let c be 6\/10 - i\/(-20). Suppose -o + 0 = -5. Solve -3*j + c + o = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 x, and 1 k when four letters picked without replacement from rxklfirx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = 2*h. Let r be 93\/(-9) - 2\/h. Let n = -3 - r. Calculate the smallest common multiple of 3 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0.03 (c) 2\/619\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 5*sqrt(272)*-2)*-1 + -5 + -2 + -5)**2.\nAnswer: -864*sqrt(17) + 22176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31439 + 31464. Suppose 3*r - 58 = -r + 2*s, 0 = 2*s - 2. Calculate the remainder when l is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttaatattatatqttttq. What is prob of sequence qat?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 610 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6996*x + 6996*x + 50251*x**3 - 50233*x**3.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-1 + 2) - -2. Suppose j = 8 + y. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 26.8. Sort 4\/9, 1, p in ascending order.\nAnswer: p, 4\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 13*u**3 - 8*u - 133. Let p be x(-15). Let f = p - -305888. Round f to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 39*i - 22. Let r be g(3). Suppose 2*d + 1894 = 3*y, y + d - 533 = r. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7ea68 (base 15) to base 11\nAnswer: -256569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o - 448. Let g(j) = -12*j - 890. Calculate -5*g(c) + 9*q(c).\nAnswer: 6*c + 418","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsy when three letters picked without replacement from {f: 1, s: 3, j: 10, y: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/9 in -1\/5, -571, 0.4, -0.97, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3\/122, 4, -0.2, 2\/15 in descending order.\nAnswer: 4, 2\/15, 3\/122, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 158383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 - 151. Let a(t) = -t**3 + 6*t**2 - 3*t - 7. Let l be a(6). Let c = -15 - l. Calculate the remainder when s is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s + 30 = 0. Suppose 3*d = s - 19. Let m(c) = -c**2 + 3. Determine m(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9335357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62889.61 decades to centuries.\nAnswer: 6288.961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*b**3*f**2 - 5*b**3*f*m + 4*b**2*f**2*m**2 + b**2*m**2 + 2*b*f**2*m + 3*b*f wrt f?\nAnswer: -30*b**3 + 8*b**2*m**2 + 4*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*h = 3, -4*h + 0*h + 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 14\/5*t**2 - 21\/5*t + 1\/5*t**3 - 18 = 0?\nAnswer: -15, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13*(-2)\/((-1 + 118)\/9). Suppose 3*t = -2*t + 15. Suppose p = -t, 3 = 2*h - 5*h - 2*p. What is the greatest common divisor of h and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133872480451 - -133872479846.99999597. Let p = h + 604. What is p rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(5) + sqrt(80))*3 + sqrt(5).\nAnswer: 2 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 370749.5 - 37633.5. Let s = -333159.0054 + u. Let z = -43 - s. Round z to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -35 + 22 - (-1 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*a = -a + 28, 3*c - 4*a - 24 = 0. Let g(w) = -w**3 + 5*w**2 + 5*w + 8. Let x be g(6). Solve c = x*h - h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80269 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvi when three letters picked without replacement from iybbyebinyiebbybnbyv.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -29. Suppose -11*p = -48 + 4. What is the lowest common multiple of p and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*z**3 - 3 + (2*z**2 + 2*z**2 - 3*z**2)*(3 - 3 + 3*z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 47*x**2. Let r(l) = 315*l - 2. Determine s(r(h)).\nAnswer: 4663575*h**2 - 59220*h + 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14*h - 1. Let v be t(5). Calculate the greatest common divisor of v and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:29 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21696617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 + 24 - (-13093 - (-2)\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 - 145343116*w\/9 + 2640577671073682\/9.\nAnswer: 2*(w - 36335779)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21*11\/1463*-1*2\/6\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 3) + 1 + 3 + -2 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -52. Suppose 2*t = 0, 0 = u - l*t - 4 - 6. Let m(b) = b**2 - 7*b + 25. Is m(u) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 3721. Let i be f(0). Suppose 5*b - 9292 = -v + i, -7805 = -3*b - 2*v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 14, s: 4}. What is prob of picking 2 h?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 94*t**2 + 709*t + 4761. Calculate p(85).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3219, -6265, -9275, -12231, -15115, -17909?\nAnswer: -20595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41097882*c**6 + 28*c**2 - 55194*c - 5.\nAnswer: 4931745840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, 4918870.\nAnswer: -3, -0.3, 4918870","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1294690, 4, -3, 2, -2 in increasing order.\nAnswer: -3, -2, 2, 4, 1294690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 2, -649\/3, -34, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(3 + -1) + 6. Let n(r) = -r - 6. Let d be n(c). Is ((-248)\/d)\/((-4)\/(-6)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) + 54\/10. Suppose -51 + 60 = 3*l. Let g be 1\/(-1*(1 - 2)). What is the closest to g in -2\/7, m, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -d - 0*k, -3*k = -5*d. Calculate the smallest common multiple of (16\/14)\/((-32)\/(-112)) and 1*(3 - 2 - d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 6*h - 41. Give i(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-55) + (-1 - (-27)\/33).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -54, -633, -2198, -5241, -10254?\n\"Answer: -82*u**3 - u**2 - 2*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = -12, -4 = -3*f + 4*t. Let k = 1315.5 + -1310.5. What is the closest to -0.03 in k, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44844193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 74*z**2 - z. Calculate the remainder when p(1) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 6. Let c be i(8). Suppose -5*d = -c*d - 108. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 140438 or -621?\nAnswer: 140438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 5*o - 3. Let z(t) = 2*t**2 + 9*t + 5. Let x = -53 - -46. Determine x*h(l) - 4*z(l).\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2303 (base 5) to base 12\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1786660*u. Let h(b) = 6*b. Give h(d(k)).\nAnswer: 10719960*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 160485 to the power of 1\/2, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o - 2. Suppose -4*a = 3*l - 48, 5*l - 4*l + 4*a - 8 = 0. Calculate the smallest common multiple of l and p(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -171*q - 4796. Calculate i(-28).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 2*g - 3 + 9)*(-6*g - 4*g - g)*(g**3 - 2*g**3 + 0*g**3).\nAnswer: -22*g**5 + 187*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33716937593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 103133079 a multiple of 2933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15469\/124)\/((-6)\/8 - -1). Suppose -3*k - 463 = -s. Let r be ((-1)\/3)\/(3\/(-99)). Is r less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96484283?\nAnswer: 7, 373, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/28)\/((-7)\/4381). Let j = w - -628. Let -j*p + 3\/7*p**2 + 0 = 0. Calculate p.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1372248 to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006364644 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -0.3, 0.35?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 11*m - 79093. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76967 bigger than 1198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from yppy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 11*h - 18. Determine u(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 80547*t + 805608. Give x(-10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. Let z(i) = -i**3 + 2*i - 1. Let a be z(v). Is (a\/2 - -37) + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -0.1, -2\/11, 0.5, 6, 93?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 + 161*a**2 + 70*a - 796. Give c(-80).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*s**2*z**2 + 9*s**2*z - 3*s**2 - 21*s*z**2 - 44*s*z - 529*z**2 wrt z.\nAnswer: -12*s**2 - 42*s - 1058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1702662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 y, and 1 n when four letters picked without replacement from {r: 1, n: 2, w: 1, y: 3, m: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/12226176 and 4\/159195.\nAnswer: 61130880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 128 - 185 = g, 2*h = 3*g - 11 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5528*h**5 - 38*h**4 - h**3 - 2853*h**2 + 589*h wrt h?\nAnswer: 331680*h**2 - 912*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.044 + 2.044. Let d = 6 - g. Put -2, -1\/4, d, 3 in ascending order.\nAnswer: -2, -1\/4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 850 - 280. Suppose 0 = -z + y + 741. Calculate the remainder when z\/45 - (-2)\/(-15) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppupnuxux. What is prob of sequence xpup?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let l be i(-5). Suppose 0*a = p - 3*a + 7, l*p + 2*a = 16. Suppose -45 = -5*d + 5*h, -h + 39 = 7*d - p*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -98412281830 from 0.2.\nAnswer: 98412281830.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 n when three letters picked without replacement from mmoppppnmm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2.8. Let m = -4 - -4.3. Let j = 6.4 + -6. What is the smallest value in j, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - 1.25. Let q = -90890.6 + 90891. Which is the second biggest value? (a) 0.9 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 29189 = b, -4*h - 6*b + 38944 = -b. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177876757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14635891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhhzezehz. What is prob of picking 1 e, 1 z, and 1 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39.9 and -0.06.\nAnswer: -2.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1640*v - 133084 = -12619 + 64855 for v.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -134*d**3 - 60*d**2 - 11. Let v(m) = -27*m**3 - 12*m**2 - 2. Let f(t) = 2*k(t) - 11*v(t). What is the third derivative of f(n) wrt n?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18693 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69377525.\nAnswer: 5, 7, 396443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1146*w + 30 = 1151*w. Suppose -745*n = -748*n + w. Solve i - n = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.617578 rounded to 1 decimal place?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r = 4*g + 80*r - 42*r + 35, 4*g + 2*r = -4*g - 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 41*p - 51. Determine d(-18).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14557*k**2 + 3*k - 13364 wrt k?\nAnswer: 29114*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 8*g - 117. Suppose 0 = -n - 2*s + 2 + g, -3*n + 5*s + 1 = 0. Solve -j + 3*m + 1 = 0, 4*j + j + n = 3*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 924.04 + 65817.\nAnswer: 66741.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 2*h - 5. Let o(p) be the third derivative of p**5\/30 - p**4\/8 - 2*p**3\/3 + p**2. Let k be o(3). Give v(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 32385*r**3 + 12376*r**3 - 7661*r**3 + 0*r**2.\nAnswer: 37100*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**2 + 1. Let o be ((-20)\/(-35))\/((-2)\/(-7)). Let p be 20\/o*(-7)\/(-14). What is l(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 3*q**2\/2 + 2. Let j(d) be the first derivative of 8 + 0*d**2 + 2\/3*d**3 + 0*d. Determine n(j(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1364 - 682. What is the highest common divisor of 66 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104286968 by 4534216.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpo when three letters picked without replacement from joobbpjjjpjp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*c - 476 - 292 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1180*z + 1195*z - 49470. What is the least common multiple of z and 1358?\nAnswer: 23086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-3)\/6 + 45\/10. Suppose -3*j = 3*s - 6, q*j + 0*j - 6 = -s. What is the closest to s in -0.07, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*(-5)\/20)\/(90\/72)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224566733 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3099 + -962?\nAnswer: 2637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 42*x - 7. Let r be k(1). Find the second derivative of -5*m + 4 - 4 + 1 - 6 - r*m**3 wrt m.\nAnswer: -210*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 = 15*r - 17*r, -2*h + 8 = -2*r. Solve 5*y - 5*f - 30 = 0, y + 9 = -2*f - r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561 = -228*x + 3608 + 1969 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 6. Suppose 0*t - 22 = -w*t. Differentiate 2 + 6*z - 6*z + t*z with respect to z.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/(s*s\/(s\/(s\/s**4)))*(s**0\/s)\/s*s**5)\/(s*s**(5\/2)\/s*s\/(s\/((s*s*s**(-1)*s)\/s)))**30 assuming s is positive.\nAnswer: s**(-97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(180) + 0)**2 + sqrt(180))*-2 + (sqrt(180)*-3 + sqrt(180))*-6 + 2)*-4.\nAnswer: -240*sqrt(5) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cchqhhc. Give prob of picking 3 c and 1 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 1. Let v be d\/(-8) - 1\/4. Suppose -4*f = -2*x - 3*f - 2, -2 = v*x - f. Round x to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6685 minus -3?\nAnswer: -6682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*p - 40*p + 12. Suppose -5*t = -20, 2*l - p*t - 4 = -3*t. Solve -l*r = -12*r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 1 (b) 708\/35 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*d - 231, 0 = 108*l - 106*l - 4*d - 78 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11909*v**2 + 21899*v.\nAnswer: 23818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -16*n**2 - 272*n + 650. Determine t(-19).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6) + ((-251875)\/7998)\/(-65) - 1\/1?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 3*q - 306*q**3 + 310*q**3 + 3*q to h*q**3 + o*q + t + g*q**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23003 - -77451?\nAnswer: 54447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -373 (base 10) to base 8\nAnswer: -565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 13. Let l be z(7). Let p be ((-8)\/l)\/(6\/(-27)). Let y = p - -4. What is the second smallest value in 1, 4, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 n when four letters picked without replacement from {e: 2, g: 1, o: 5, s: 1, x: 2, n: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + -69. Is 7 a factor of m\/(4\/14)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 e when three letters picked without replacement from llleeeeeee.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 75*f + 86*f + 149 + 96*f - 228*f. Let a be g(-5). Solve -3*j = z + 3 - 4, -4*j + a*z = 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1683 or -1782?\nAnswer: -1683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -434, -452, -496, -578, -710?\n\"Answer: -2*r**3 - r**2 - r - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -10162.\nAnswer: -10162, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 2:14 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 4*p)*(1 + 0 + 1)*(4*p - 3*p - 20*p).\nAnswer: -228*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 + 210*a + 1949. Calculate q(78).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/12))\/k**40*k**(-27)*k**33*k*k assuming k is positive.\nAnswer: k**(-371\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 26 = -5*d, v - 2*d + 6 = -0*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxbbkly. Give prob of sequence bk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((90\/25)\/6)\/((-9)\/(-45)). Solve -c = r - 5, -p*c + c = -5*r + 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1604*y + 12 = -1601*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**2 + 9440*a + 9425.\nAnswer: 5*(a + 1)*(3*a + 1885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56155099, -112310198, -168465295, -224620390, -280775483?\nAnswer: -336930574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -7087, -5, -0.4, -36\/5?\nAnswer: -7087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (931\/(-133))\/((-49)\/(-126)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455624149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 1:14 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175462 is divided by 254?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 19*t - 24*t)*(5*t + 6*t + 5*t) to the form o*t**2 + g*t + h and give o.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 9*i**2 + 19*i - 1. Let l be u(-4). Suppose -6*n = -l*w + 13251, -22033 = -5*w - 0*n - 3*n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoto when four letters picked without replacement from hohottootoooooot?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3537 times 0.09?\nAnswer: -318.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -1.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*l**3 + 12*l**3 + 6*l**3 + 8*l**3 + 190*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 + 54. Let m(d) = 66*d**2 + 0 + 3 + d + 3*d. Is m(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000081595541 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -13*l - 25. Let t(u) = -9*u - 17. Let s(h) = 5*f(h) - 7*t(h). Let j be s(-9). Calculate the highest common divisor of 36 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 770.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (612\/816)\/(2\/(-60))*-2?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 11*c + 11. Suppose -3*o = 3*w + 12, -5*w + 4*w + 4*o + 16 = 0. Let l be -1*(1 + -2)*(w + -2). Let b(t) = t + 1. What is l*p(x) + 22*b(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.399 - -4.601. What is the second biggest value in 30, 0.1, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 8*b**2 - 6*b + 7. Let p = -13 + 6. Let m be c(p). What is the greatest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 10. Let w = d - -4. Let x = 14 + -10. Sort 3\/4, x, w in descending order.\nAnswer: x, 3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4286 - -4291. Suppose 3*n - 51 = -3*x, -x + 2*n + 2*n + 17 = 0. Let w = -5 + x. Solve -o*k - 3 = w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13944 = 4*m, -2*i - 3*m = 2*i - 11180. Is i\/2 - 66\/22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*h + 3259 = 205 + 908 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/106 and 11\/6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 146849792?\nAnswer: -146849792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/6179544 and -103\/3600?\nAnswer: 308977200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**3\/9 - 3*p**2 - 140*p\/3 + 898. Factor y(o).\nAnswer: 2*(o - 14)*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**2 + 22*s + 52 = 0.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.08 - 0.08. Let d be (-17)\/(-5) + 4\/(-10). Let v = -2.189 + 1.989. Which is the nearest to 6? (a) t (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 308*i - 5. Let c(p) = 2*p - 1. Suppose -5*x = 5*f - 17 + 2, 5*f - 5*x + 25 = 0. Let d(a) = f*y(a) + 2*c(a). Is d(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-45))\/(8 - 97\/12)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 986 - 3118 = 0. Let o = 337 - j. Let u(v) = -v - 11. Give u(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/2)*w\/w**22 assuming w is positive.\nAnswer: w**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6 - 3 - 1 + 6 - x - 9. Let o(b) = -25*b + 5. Give 5*k(f) + o(f).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 5*z - 13, 7*b - 10*b + 23 = z for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 + 848*v**3 + 4*v**2 - 848*v = 0.\nAnswer: -1, 0, 1, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -21*l**2 - 916*l + 71. Give d(-44).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + -59. Let z(v) = -18*v**2 + c*v**2 - 9*v**2. Let i(h) = -17*h**2. Determine z(i(s)).\nAnswer: 578*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 6*n = 524510. Is (n\/(-12))\/(-5) + 13\/78 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7599 and 1836.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/8? (a) -3 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(288) + (sqrt(2) - (sqrt(2)*2 - sqrt(2))*-1 - (-1 + sqrt(8)))**2 - (1*sqrt(18) + (4 + -1*sqrt(2))**2 + (3 + (sqrt(4)\/sqrt(2))**2)*6).\nAnswer: -50 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 9. Give l(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 2*f**2)*(-12*f**3 + 31*f**3 - 9*f**3).\nAnswer: 20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/876 and 57\/146.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 356.2\nAnswer: -178.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfsjseswjwye. What is prob of sequence ew?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15237 and 0.3.\nAnswer: 4571.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37383134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-four thirds of a hour?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.18. Let m = c - -3.08. Let d be ((-3)\/(-90))\/(1\/4 + 0). Put m, 1\/7, d in ascending order.\nAnswer: d, 1\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/4 (c) 58.6 (d) 2\/13 (e) -0.4 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 30 = -3*a, -2*o + a = -3*o - 8. Suppose 3*b = -p + 15, -5*p - 335*b - 33 = -338*b. Sort 5, o, p.\nAnswer: o, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33418, -66841, -100266, -133693, -167122, -200553?\nAnswer: -233986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -6614.99?\nAnswer: 1984.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-89)\/(-3) - 4\/6. Suppose 4*d - 283 = h. Calculate the highest common factor of 52 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:48 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-5120)\/1536)\/(4\/(-3))*176\/10\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -332.582 + -0.418. Let s = 326 + p. Which is the closest to -2? (a) -4 (b) 0.2 (c) -2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15755 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 629567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.3, -4.75, -1\/6, 22, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k\/k**(2\/5)*k))\/k**(6\/11)*(k*k**(2\/7)\/k)**(-2\/7) assuming k is positive.\nAnswer: k**(-3307\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1. Let j(m) = m + 3. Let t(d) = -h(d) + j(d). Let n be t(0). What is the third derivative of -181*q**4 + 91*q**4 - 16*q**n + 90*q**4 - 17*q**5 wrt q?\nAnswer: -1020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 20. Let d be q\/(-48) + 10\/8. Which is the third biggest value? (a) d (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 54846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1524*w**5 + 1704*w**4 - 500*w + 20.\nAnswer: 30480*w**3 + 20448*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 873\/194*(-224)\/(-18)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 2, m: 1, h: 2, g: 1, o: 1}. Give prob of sequence qg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59\/2, 5, 1\/6, -1, -0.005, 1 in ascending order.\nAnswer: -1, -0.005, 1\/6, 1, 5, 59\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*b - 246082 = b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/51)*n**(1\/4) assuming n is positive.\nAnswer: n**(59\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 11, 30, 59, 98?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2149136 is divided by 488?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*b + 136, -2*p - 17 + 49 = b. Suppose -4*h + 0*h + b = 2*s, -5*s + 3*h = -65. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*r**2 - 6 - 9 + 28*r**2 + 15 + 137*r**2.\nAnswer: 220*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 124*k**5 - 72304*k**4 - 19777080*k**3 - 1091975840*k**2 + 4802562236*k - 454519536 = 0?\nAnswer: -109, 3\/31, 4, 797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11.296 + 0\nAnswer: -11.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72164 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2380 - -8230. Is 65 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 141561*x + 424691. Calculate n(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17038*n**3 - 2*n**2 - 3*n + 1. Let q be x(3). Round q to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/10*(-126)\/147)\/((-14229)\/510).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 2 + 2\/3*h**3 + h + 0*h**2 + 7\/12*h**4 - 29\/20*h**5. What is the third derivative of w(d) wrt d?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/15 and -61\/38590761?\nAnswer: 192953805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1310851302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k - 17. Let d(n) = n**2 - 6*n - 13. Let i be d(7). Let v be y(i). Solve -12 = -3*f, 5*c + 4*f + 10 - v = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -70. Solve -5 = -3*v - t, -2*t + o = -v + 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 367777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*t**3 + 26304*t + 64327?\nAnswer: -12*t**2 + 26304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 78*h + 78. Let v(s) = 2*s**3 + 12*s**2 + 516*s + 3095. Let g be v(-6). What is l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t. Let a(d) = -d + 10. Let v be a(8). Suppose 4*u + w = 3*w + 12, v*u + 4*w = 26. Let r(h) = h**2 - 5*h + u*h. Determine r(l(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 22*l = 28*l + 228 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 510977316 divided by -3459\nAnswer: -147724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**2 + 4*o - 13. Let t be p(4). Let q = t - -168. What is the remainder when q is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 2*u**2 + 0*u + (-748 - 767 + 1206)*(-4 + 2*u**2 + 4) - u**2 - 5*u**2 + u**2 + (-u**2 + u**2 + 2*u**2)*(1 - 3 + 0).\nAnswer: -629*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 5 = 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nknk when four letters picked without replacement from {n: 8, k: 5}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 127, 188?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1657 + 24?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 21*o + 3 + 13 to the form p + y*o and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2196*i - 8. Let s(t) = 1196827*t + 4364. Give 1091*g(p) + 2*s(p).\nAnswer: -2182*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from eewwlwlww.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 97 + -37 + 5 + (-4 - 90).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16669.\nAnswer: 79, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 1, -5, 0, -1342?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**9\/84 - t**5\/15 - t**2 + 4. Let s(x) be the second derivative of d(x). Find the third derivative of s(i) wrt i.\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - 2*f**2 - f**2 + (-4 - 1 + 4)*(5*f - f - f)*(-2*f - 7*f + 3*f).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1591275 - 1591275 + 3*k**3 - k**3 - k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/96 - 353\/96. Let y(u) = 2*u**2 + 2*u - 7. Let r be y(-5). Let z = 3 - r. Calculate the common denominator of x and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 0. Which is the third biggest value? (a) 0.5 (b) -1 (c) x (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e0be (base 16) in base 5?\nAnswer: -3320114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.9609 - -22740\nAnswer: 22739.0391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Suppose -90 = -2*h - q*h. Solve 4*i = h + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2920 and 54\/11.\nAnswer: 32120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - -10 - (418 + -415) - -41?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Product of -487.72 and 0.7.\nAnswer: -341.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4*1*sqrt(15) - sqrt(15))\/sqrt(5))**2*5 + ((1*sqrt(60))\/sqrt(2))\/(sqrt(120)\/sqrt(48)).\nAnswer: 2*sqrt(3) + 6000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9492 - 2988 = -13*i. Suppose 24*j = 12*j + i. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (0\/(-3) + -3). Let b be (t\/4)\/(4\/8). Let y(q) = -9*q**2 - 9*q - b + 3*q + 4*q. What is y(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 930 and 186?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j + 2*j)*(72*j + j**3 - 118*j + 67*j + 1).\nAnswer: 4*j**4 + 84*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 14*p**2 - 38*p - 74. What is g(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2045*j**4 + 1502.\nAnswer: -8180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*b - 1438, 117*b - 119*b + 2*o + 962 = 0. Let h = 68\/101 + 297239\/606. Let g = h - b. Calculate the common denominator of g and 33\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1506*u**3 - 4 + 27 - 21 - 2.\nAnswer: 1506*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 2 - 5) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18108 and 614646.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -21030?\nAnswer: 21013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(10\/3)))\/h**(-4\/27))\/((h\/h**(7\/4))\/h*h*h\/(h**26*h)))**(-8) assuming h is positive.\nAnswer: h**(-6530\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**3 - 365*r**2 - 368*r**2 + 726*r**2)*((5*r - 5*r + 2*r)*(1 - 2 + 0) - r - 2 + 2).\nAnswer: 18*r**4 + 21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:32 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 59*w**9\/84 - 7*w**5\/30 - w**3\/6 + 5*w**2 - 1. What is the third derivative of g(t) wrt t?\nAnswer: 42480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w - 2*w + (4*w + 4*w - 5*w)*(-5 + 3 + 1))*(-9*w**2 - 7*w**2 - 4*w**2).\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4642723499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2411 equal to -2412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4 - 5456*q**3 - 5432*q**2 + 27248*q - 16356 = 0. Calculate q.\nAnswer: -1363, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**3*o*v - 7*h**3*o - h**3*v + 2*h**3 - 4*h**2*o*v + 18*h*v wrt o?\nAnswer: 3*h**3*v - 7*h**3 - 4*h**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 412044632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 110.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**3 + l**2 + 5*l + 11. Let g(f) = 7*f**3 + f**2 + 9*f + 23. Let s(r) = -2*g(r) + 5*q(r). What is the common denominator of s(-4) and -101\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 - 2*x**4 - 4*x**3 + 4*x**2 + 2*x - 2 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/27 + (-2631114)\/(-162)*13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1017.313 - -680643.\nAnswer: 681660.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6\/135*3*(-8730)\/(-15132)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 4*s = 184, 307*a - 3*s + 134 = 303*a for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g + 1. Let u be n(-2). What is the nearest to 1 in 6, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/341792 and -5\/186432?\nAnswer: 2050752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 8*b + b)*(1 - 1 - 13)*(-b - b + 4*b) in the form h + c*b**2 + k*b and give c.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 10*d**2 + 16 + (2*d - d + 0*d)*(2*d + 2*d - 3*d))*(d**2 + 0*d**2 + 0*d**2) - d**4 + d**3 - d**3 - 18*d**4 - 22*d**4 - 9*d**4.\nAnswer: -59*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i**3 - 14. Let g(q) be the second derivative of -q**2\/2 + 9*q. Let u(l) = 3*g(l) + k(l). What is the first derivative of u(b) wrt b?\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110101100101001 (base 2) to base 3.\nAnswer: -112201020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1126, 4846, 11048, 19732?\nAnswer: 30898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -3, 1\/2, 1.8995?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/42*1)\/((-2)\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i + 84 - 93 - i. Let j be n(7). Calculate the greatest common factor of 120 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**4 + 6*q**2 - 20 - 2*q**4 + 19 - 3*q - 5*q**2 + q**3 in the form i + y*q**3 + g*q + w*q**4 + t*q**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -34. Is 4\/16*y*-1838 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3129728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = 0, 4*t - 2*t - 10758 = 4*g. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**2 + 10. Let x(t) = 14*t**2 + 11. Let c(w) = -5*p(w) + 4*x(w). What is the tens digit of c(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-15)\/21*16\/(3040\/(-399)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a week in hours?\nAnswer: 182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 7*q**2 + 569*q - 1133. Give i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.017 + -0.01348. What is u rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12121 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272083*2.98.\nAnswer: 810807.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) 0.5 (c) 0 (d) -0.3 (e) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a - 764. Determine o(-19).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6104 (base 12) to base 4.\nAnswer: 2210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -478 - 282 - 151*q + 248*q + 112 wrt q.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*l = -1, 0 = 2*s + 3*s - l + 25. Let y = s - -21. Calculate the greatest common factor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 0*d + 0*d + (2*d - d + d)*(7 - 2 - 3))*(-204 + 74 + 64) to the form l*d + u and give l.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3931973, 7863946, 11795919?\nAnswer: 15727892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 1. Let p(l) be the first derivative of 3*l**2\/2 + 4*l + 2. Let d(u) = p(u) + 2*s(u). Suppose 2*y + 5 = -3. Determine d(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-140)\/(-44))\/(-1) + 3. What is the second biggest value in -36, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22719662 plus 0.167694?\nAnswer: 22719662.167694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 107950 = -5*t + 23493, -131419 = -5*t - 4*q. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*14\/(6860\/(-14)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 20 = 5*r, 0 = 1405*r - 2799*r + 1399*r - f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872095673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 - 168. Calculate the least common multiple of h and 408.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5 = 3*b + 3, -3 = 5*t - 4*b. Let w(c) = c - 1. Let v(k) = -3*k + 11. Let d(f) = t*v(f) + 5*w(f). Give d(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let u(s) = 8*s - 1. Let d be u(1). Let m be -6 - 9\/(4 - d). Let k = 8 + m. Give g(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w - 110 - 168 = 136 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 1201*l\/3 + 400\/3.\nAnswer: (l - 400)*(3*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-20))\/((-2)\/124). Suppose 534 = b + f. Suppose 5*x = -3*r + b, 0*x = r + 2*x - 167. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538*x = 560*x - 216722. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 - 12 - ((-1998)\/60 - -20)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 2*b**2 - 24*b. Let h be a(4). Suppose h = 463*x - 462*x - 336. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f - 29*f - 40*f - 3*f in the form c*f + x and give c.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71\/(-3266)*(-897)\/78?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1631\/(-10416)*-4 + 30\/8 + -5 and 77\/1395?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12531 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten thirds of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27154 is divided by 9041?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/1 - -2) + -6. Let h(l) = l + 9. Let f be h(p). Let g(x) = -x**2 + 6*x - 9. Let s be g(4). Which is the closest to s? (a) f (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 3*c - 18 = 0, 3*c - 4 = -10*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*z, -5*i + 4*z = -0*z + 56. Let n = i - -18. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 6*j - 4. Suppose -3 = -4*a + 2*a + p, -a = 2*p - 14. What is x(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + -59. Let w = -33.09 + g. Let s = 0.28 + 0.02. Put 0, w, s in decreasing order.\nAnswer: s, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*d - 98 = 0, -2*m = 2*m - 4*d - 100. What is the remainder when 90 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-12)*(-1 - -20). Suppose 211 = 4*a + 3*v, 5*v - l = 3*a - 4*a. Let x = 91 - a. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242986 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) - 84\/(-60). Which is the closest to 2\/7? (a) -2\/7 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901978 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*h + 28, 0*x - 5*x + 35 = h. Solve x - 11 = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -267 - -272. Let v = 27 - 12. Solve -5 = d - p*j, 2*d + d + v = 5*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33806 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*f - 19 - 4. Let k = -0.2 - 0.8. Let r = -0.9 - k. Is f at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)\/(-12 + 14). What is the remainder when (2\/1)\/((-2)\/(-50)) + k is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.5 - 2.5. Let l = h + -11.5. Which is the smallest value? (a) -0.1 (b) 1\/6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17558599633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (165\/35)\/(-1) - 8\/28. What is the closest to 0.1 in m, -2.2, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*w = 140*w - 138*w. Solve -4*h - 32 + 16 = w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22562 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 27*s**2 + 38*s + 307. Determine w(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Suppose a + n = 8. Suppose -2*p + a*p - 99 = 0. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 484540837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3 + 3)*(3319 + 4122 - 10763).\nAnswer: -3322*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1076810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -22*m - 562. Let n be r(-59). What is the greatest common divisor of 138 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 49828, 101456, 153086, 204718, 256352, 307988, 359626?\n\"Answer: s**2 + 51625*s - 1798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.13981 rounded to 1 dp?\nAnswer: -21.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 46*z**3 - z**2 - z + 1. Let g be k(1). Suppose 2*p - 19 = -3*s + 3*p, 5*s = 5*p + g. Solve v = s*v - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/24)\/(2\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-300)*5*(80\/(-15))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2*z**6 - 2*h**2 + 3*h*z**2 + 2040570*z**3 - 57*z**2 - 23889 wrt z.\nAnswer: -120*h**2*z**3 + 12243420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + ((sqrt(95) + sqrt(95)*4)*-2 - sqrt(95) - sqrt(95)))\/(sqrt(55)\/(sqrt(33)\/sqrt(3))).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/252 and 37\/80948.\nAnswer: 728532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79569957041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*b = 83*b + 119*b + 6072 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.533*1.\nAnswer: -0.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 - 129 = 8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 1. Let a(v) = 3*v**2 - 3*v + 6. Let f(s) = -a(s) - 6*g(s). Factor f(x).\nAnswer: 3*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821*n + 914*n = -39905 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109444814009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*i - 3 = 0, -5*h - 3*i - 6243716 = -6243696 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 10. Let j = -166\/909 - 4\/101. Let u = -27 - -30. Which is the nearest to j? (a) v (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:48 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7735 + 13874. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-42)\/10 + 1225\/(-125)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = 0. Suppose 3*y - 1 = -5*k, n = -5*y - 3*k + 6 + 1. Suppose y*a + 0*a - 82 = 0. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 10*n**2 + 12*n. Let l be k(-8). Suppose -l + 8 = -4*j. Suppose j*m + 4 = 2*m. Which is the closest to -1\/5? (a) 2 (b) m (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (8 - (5 + -2)). Suppose -5 = -k, t*f + 1 = -5*k + 6. Let x(q) = 2*q**2 + 6*q - 6. Is x(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4791334?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 6. Determine o(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/4)\/(-15*(-1)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3\/15 - 677566*w**2\/15 - 5420414*w\/15 - 316190 = 0.\nAnswer: -338775, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*h**2 - 118*h + 118*h + (0 + 3 - 2)*(10*h**2 - h**2 - 7*h**2) + 38 - 4*h**2 - 45 - 2*h + 2*h**2 to the form a*h + x + v*h**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-2088)\/(-6))\/(-5 + 0 + 266\/52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -290 + 3772\/13. Suppose 4*t = -3*u + 13, 3*t - 3 + 9 = 3*u. Which is the nearest to t? (a) -5 (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (455\/14)\/13*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 - (17 - (-21 + 7 + 12 + 16))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 14058.48 centuries?\nAnswer: 1405.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11730 - -22730. Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13515*m**2 + 11*m**3 - 13515*m**2 + 52*m**3 - 2 - 3.\nAnswer: 63*m**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -71494, -285564, -642356, -1141876, -1784130, -2569124, -3496864, -4567356?\n\"Answer: -v**3 - 71355*v**2 + 2*v - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10562776 and 560?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*j**2*l + 1529*j**2 - j*l + 5*j + 695*l wrt l?\nAnswer: 6*j**2 - j + 695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-858)\/728)\/(5 - (3774\/(-48))\/(-17)).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1577 + 1597 = 4*p, -10*h + 5*p - 65 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 55*o**2 - 115*o - 840 = 0?\nAnswer: -3, 56\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 294*r**2 - 15787*r - 18076. What is n(-69)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 0*f - 35. Solve 4*l + 20 = 0, 6*m - 2*l - f = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/5)*s*s**(7\/6) assuming s is positive.\nAnswer: s**(77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + w**2 - 4*w. Let r be u(-4). Let q be (-1)\/9*44 + 16 + (-435)\/27. Sort 2, r, q in decreasing order.\nAnswer: 2, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120212222 - 10?\nAnswer: 11120212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {f: 1, x: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1002 - 420 - 180)*(-5*b + 5*b + 4*b) to l + d*b and give d.\nAnswer: 1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4467, -4, 4, 21 in descending order.\nAnswer: 21, 4, -4, -4467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 133. Let t be (8\/10)\/((-10)\/h). Suppose 0 = -2*y - y + t. Solve 2*l = -l + 3*z + 12, -12 = y*l + 2*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/459 and -4\/459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 12 + 8422*s + 2*s**2 + 14 - 8422*s.\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 9:53 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*(-320)\/(-560).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 539 - 119 = 8*t. Let u be 0\/2 - 168\/(-2). Calculate the highest common divisor of u and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 227, 5, 76, -83 in ascending order.\nAnswer: -83, -2, 5, 76, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 19 = 3*u, 14*d + 5 = -u + 15*d. Suppose i = 1 + 6. Let x = i + u. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 11*r**2 - 11*r - 7. Calculate d(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*p**2 - 3*d**3 - 1049*d**2*p**2 - 214*d**2*p - 6*d**2 - d*p**2 wrt p?\nAnswer: 4*d**3 - 2098*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-56)\/7)*1 - (15936\/(-198))\/(-8).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*l = 3*l + 9, 12 = 4*l. Solve m + 31 - 36 = b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*(-9)\/(576\/40)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + -12 - (10 + 97)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:51 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30066 - -30110. Does -11\/17 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2272 - 1201. Let t = -20329\/19 + g. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5 - 18*m**4 - 89*m**3 - 72*m**2 = 0?\nAnswer: -9, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30189 by 2.\nAnswer: -30189\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -323041 (base 6) to base 15\nAnswer: -7d2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*m + 20 = -51*m. Solve y = m*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-3)\/7 + 456\/672).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18966 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*o = -2 - 2, 76 - 84 = -3*x - 5*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 5. Let o(j) = 5*j + 24. Let i(p) = -2*o(p) - 11*u(p). What is the least common multiple of 9 and i(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 - 4*q + 4. Let m be n(4). Let r = 12 - m. Solve 0 = -3*g - 12, -g = 2*h - 4*g - r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45530 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -400607.98 rounded to the nearest 1000?\nAnswer: -401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/8)*s*s**(1\/7)*s*s*s**(1\/9)*s*s*(s*s**(-2\/15)\/s)\/s assuming s is positive.\nAnswer: s**(10699\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 859048 by -54.\nAnswer: -429524\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/((-2)\/(-1)))\/14)\/((-8)\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 - 84. Let r(v) = -4*v**2 + 2*v**2 + 0*v**2 - 6*v**t. Let m(s) = 4*s**2. Determine r(m(z)).\nAnswer: -128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/60 + 19*f**4\/24 - 4*f**3\/3 - 11*f**2. Let y be m(-20). Do y and 23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 + 106586\/1781)\/(7\/(-104))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(304)*1 + sqrt(304) + -5 + (sqrt(304) + 2 + 1*sqrt(304) + sqrt(304))*5)**2.\nAnswer: 87856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253252302 - 253252302 + 860*a**3.\nAnswer: 860*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50*(1 + 0\/(-2)). Suppose 5*a = -0*a + z. What is the units digit of (-5 + 2)*a\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 50*f**2 - 2*f - 1. Let l be g(-1). Is 3*(18143\/9)\/(17\/l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-4)*96\/(-336). Which is the nearest to -2\/7? (a) r (b) 3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 12:13 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, -4, -1\/4, 2\/5, 6.34, 7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1162 - 27.1162. What is the second biggest value in 1, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -54 - (-2)\/((-4)\/6). Let a = -11 - f. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) + 396\/(-63). Let y be (8\/(11 - 3))\/((-21)\/w). Let i = -2 - 0. Put 1, i, y, 2\/5 in decreasing order.\nAnswer: 1, 2\/5, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 15*z + 18 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 269, 538, 807, 1076, 1345?\n\"Answer: 269*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1230119622*f**2 - 549357*f + 432.\nAnswer: -2460239244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1062.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 101101 (base 2) to base 8\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + sqrt(405) + sqrt(5) + -4)**2 - (-6*sqrt(220))\/(sqrt(66)\/(sqrt(12)\/sqrt(2))).\nAnswer: 72*sqrt(5) + 1503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 - 2860*m - 86304 = 0. Calculate m.\nAnswer: -29, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -7*h**5\/50 + 43*h**4\/15 - 71*h**3\/5 + 54*h**2\/5 - 1336*h. Factor v(p).\nAnswer: -2*(p - 9)*(p - 3)*(7*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = l - 4*g, -2*l - 5*g = -3*l + 21. Suppose 0 = 3*k - 3, -4*k - 66 = -4*p - 2*k. Let o = p + l. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -11*p**2 + 41*p + 141. What is c(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*i + 10, 1 + 0 = j + i. Let s be (-5)\/((j - 3)*1). What is the closest to 2\/13 in 2\/3, 4, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/5, -263 in increasing order.\nAnswer: -263, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 48 = 4*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/40*(4 + 6). Let k = 3 + -3. Let i be k - -2 - (-2 + 3). Sort i, 2, s in descending order.\nAnswer: s, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-5\/6)*(z*z*z**3)\/z)\/(z**(-3\/5)*z)**(27\/2))**(-39))**(4\/5) assuming z is positive.\nAnswer: z**(1742\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/6)\/(10\/215) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73243 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9125 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -215*c + 201*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1500 divided by 100.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 361 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80053 is divided by 39280.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3400?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/(w**6*w))\/(w**(-6)\/w**(-3\/8))*((w**(1\/2))**(-27))**(-2\/13) assuming w is positive.\nAnswer: w**(-31\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, 40, 51, 66, 85?\n\"Answer: 2*b**2 + b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11\/24 - -1\/3. Let v = 6 - -12. Suppose -4*q = -v + 6. Put c, 1, q in ascending order.\nAnswer: c, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3948521855?\nAnswer: 5, 789704371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 less than -0.948193?\nAnswer: -68.948193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -23. Let v be 36\/(-3)*1*-1. Suppose -3*m - h = -8*m + f, -3*f - v = 0. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1))**47)**(-2\/13))**(5\/9) assuming l is positive.\nAnswer: l**(470\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*r - r + r)*(184*r**2 - 155*r**2 + 137*r**2 - 1 + 1 + r**2 + (2 - 4 + 1)*(-r**2 - r + r)) to j*r + z*r**2 + b + h*r**3 and give h.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) - (-40)\/72. Put -3, 2\/11, r, -2 in decreasing order.\nAnswer: r, 2\/11, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 0*p + 4*p)*(0 + 8 + 0)*(-3 + 5 - 3).\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:56 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 28 + 25 = -p, -2*s = p + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3510786 rounded to three dps?\nAnswer: 0.351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**2 - 2*u + 0 + 1\/10*u**5 + 1\/2*u**4 + u**3. What is n in f(n) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31628)\/(-60) - 2\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 26*q**2 - 30*q - 78. Let o be t(-27). What is the remainder when (9 + o)*(-391)\/(-102) is divided by -1 - (-2 - -3)*-11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let n = -113\/13 + 447\/26. Let z = -123\/14 + n. Put 0.1, z, -27, f in decreasing order.\nAnswer: 0.1, f, z, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90403, 180807, 271195, 361567?\nAnswer: 451923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - q - 3. Suppose o = -2*o + 3*v, 0 = -3*o + 5*v - 6. Let y be x(o). Let w = y + 9. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373452\/24*-4*(-1)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -84.14843408.\nAnswer: -84.24843408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 25, 3, 0 in descending order.\nAnswer: 25, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7701615 or 7701616?\nAnswer: 7701616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z - 8 = -4*a - 52*z, 0 = -z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-10) - 30660\/(-14700). Factor -b*g + 0 - 1\/7*g**3 + 3\/7*g**2.\nAnswer: -g*(g - 2)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 42 + 3*o**3 + 45. Suppose 2*l = 1 + 9. Let q(z) = -5*z**3 - 4. Suppose 5 + 25 = 5*i. Calculate i*r(h) + l*q(h).\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 49+-8\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 8*o**2 + 7*o + 8. Let k be g(7). Let y be (-28)\/1*k\/16. Is 11 a factor of (-4)\/y + 306\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 9*r**2 - r + 10. Let w be x(9). Let z be -4 + 6 - -2*w. Solve 0*s + 3*s - 1 = -4*o, -z*o - 2*s = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 2915?\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 19*b**3 + b**2 - 2*b. Let z be i(1). Suppose z - 39 = -v. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-16) + 2\/(-1). Let y = -3 + 0. Let t = 1 + y. Sort t, -4, f in decreasing order.\nAnswer: f, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-16)*4\/(-3). Let z(n) = -n - 12. Let l be z(-16). Suppose 4*j - y - 1 = l*y, 1 = j - y. Solve 2*k + k - 18 = g*x, -j*x - 15 = -k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 0 + 1)*(h - 2*h + 3*h) - 163 + 163 - 90*h + (0 + 1 - 2)*(0*h - 2*h + h) - 3*h + 2 - 2)*(4 + 1 - 4) + 1 - 1 + 7*h in the form n + s*h and give s.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.2 and -1287.\nAnswer: -14414.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 346, 774, 1372, 2140?\nAnswer: 3078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 29500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 107 and 2.3.\nAnswer: 246.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*o + 50 + 6, -5*c + 328 = 3*o. Suppose 45 = -3*h + 5*h + y, -3*h - y = -c. Solve 5*p - h = -8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbeebee. Give prob of sequence bbb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*1)\/((-36)\/486). Let k = 25 + q. What is the third biggest value in k, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 80305 and 80306 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**3\/7 - 1140*g**2\/7 - 216600*g\/7 - 13718000\/7 = 0.\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c\/c**(-10)))**(33\/5) assuming c is positive.\nAnswer: c**(-396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 0*q = 120. What is the third derivative of q*g**3 + 11*g**2 + 3*g**2 + 25*g**3 + 8*g**2 wrt g?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h**2 + 1. Let v be g(1). Let b be (825\/v)\/(14\/(-16)). Let u = -78 + b. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -405, -911, -1411, -1899, -2369, -2815, -3231?\n\"Answer: z**3 - 3*z**2 - 504*z + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7381.5? (a) 5 (b) 43 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24160 and 5600?\nAnswer: 845600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i - 25. Suppose -7 + 21 = h - 3*b, -5*h - i*b + 90 = 0. Solve 0 = 3*q - 8 + h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -11, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67595 and 3011030?\nAnswer: 3700555870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 263 in 4\/3, 4, 0.09, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -1. Let d = g - 7. Suppose -o - 3*w = -6*w + 11, -4*o + w = 0. What is the greatest common divisor of d and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16352916 is divided by 52413.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -203, -1\/9, 45?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*s + 2*i = -190*s + 86, 5*s = i - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5 + (104\/5)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21515 + -21556. Let k(a) = 3*a + 134. Determine k(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 100e4e - 5?\nAnswer: 100e49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.079925 + -3\nAnswer: -2.920075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52007099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Solve -5 = 5*j - 4*r, 5*j + a*r = 2*r - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 4. Let n be ((-21)\/14)\/(g\/32). Is ((-8)\/n)\/(2\/(-998)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(864) + sqrt(864) + sqrt(864))\/((3*sqrt(24))\/sqrt(8)) - ((1*sqrt(504))\/sqrt(7) + (-1 + sqrt(242) - sqrt(242) - sqrt(242))*-4).\nAnswer: -46*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -191049?\nAnswer: -191049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 144559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22100525 + 3?\nAnswer: -22100522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.4537 * -0.3\nAnswer: 0.43611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71013 is divided by 2156?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28545768 and 45096?\nAnswer: 28545768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 1874781597040.\nAnswer: 1874781597053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/20397 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 41317998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1899869 + -2.19. Round p to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 152 = -125*m - 78 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96\/13 or 6?\nAnswer: 96\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -317 (b) -0.21 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7860 divided by -6.\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -139b?\nAnswer: 13a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.39418cm to micrometers.\nAnswer: 843941.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 4410.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -10 + (-6 + 4 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(24)\/(sqrt(60)\/sqrt(5)).\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1117, -28207, 2 in increasing order.\nAnswer: -28207, -1117, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 = 1. Let v = -0.09 - 4.91. Let m = 39\/4 - 191\/20. Which is the closest to g? (a) m (b) v (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.34+-584060393070\nAnswer: -584060393070.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**4\/4 + 7*g**3\/3 + 3*g**2\/2 - 6*g + 631. Give u(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3083 (base 16) in base 15?\nAnswer: 3a2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -747 + 752. Solve -4*z + 17*k + 8 = 20*k, -q*z - 2*k = -10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(2\/7)))\/(n\/n**(4\/3))*(n**7\/n)\/(n**4*n)*((n*n**2\/n*n)\/n)**36*n**(7\/2)\/(n*(n*n\/(n*n\/((n\/n**(-8))\/n)*n)*n*n*n)\/n) assuming n is positive.\nAnswer: n**(2861\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5867098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -833, -1582, -2335, -3092?\n\"Answer: -2*j**2 - 743*j - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 k, and 1 g when three letters picked without replacement from kgkgttkkttggkkgkg?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*n**2 - 271*n**2 - 4697*n**2 - 118*n**2 + (6*n - 5*n - 4*n)*(-3*n - n + 3*n) to the form w*n**2 + d + i*n and give w.\nAnswer: -4928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.025953 to one dp.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, u: 8, x: 3, l: 2}. What is prob of picking 2 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 55, 76, 95, 112, 127, 140?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 148750, 595047, 1338894, 2380303, 3719286, 5355855, 7290022?\n\"Answer: 2*j**3 + 148763*j**2 - 6*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {x: 2, e: 8, g: 1, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 0.95?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -103134423 (base 5) in base 14?\nAnswer: -b76ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 225*j + 5696. Determine u(248).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958069 divided by -5?\nAnswer: -1958069\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*w + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let p(w) be the second derivative of 0 - 7*w + 0*w**2 + 2\/3*w**3. Determine p(u(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9376*t - 5604. What is the ten thousands digit of n(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103535 - -3726733\/36. Let k = o - -59\/4. Calculate the common denominator of k and -34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -715\/2 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = -5*l. Suppose -2*k - 3*y + y = 14, 0 = 5*k - l*y + 3. Calculate the smallest common multiple of 16 and k\/(18\/40)*-3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w - 5. Let p(g) = 1. Let b be (-15)\/(-25) - (-6)\/15. What is b*f(v) + 5*p(v)?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13329649 + 6579651. Suppose -2*z = -g + 12, -3*g + 2*z + 2*z + 28 = 0. Let i be q\/9 + g\/(-18). What is i rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxwyxyoyygxhxxyg. What is prob of picking 1 w and 2 x?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 6:10 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-9))\/((-34)\/(-18) + -2). Let d(f) = f**2 - 13*f - 55. What is d(q)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 66*g + 336.\nAnswer: 3*(g + 8)*(g + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -377 divided by 80?\nAnswer: -377\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 + 47315*i + 900790 = 0.\nAnswer: -19, 9482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3870990, -7741976, -11612960, -15483942, -19354922, -23225900?\n\"Answer: u**2 - 3870989*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 - (-2 - -6) - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1478 + 1471.91. Let y = 0.09 + p. Let s = -4 - y. Which is the third biggest value? (a) s (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Suppose -v = s - 1 - 6, -1 = -q*s + 5*v. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9282*l - 967*l - 275924 - 605466 = 0 for l.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15)\/x**(-2\/7))\/(((((x*x\/(x**(2\/29)\/x))\/x)\/x)\/x)\/(x**(-22)\/x)) assuming x is positive.\nAnswer: x**(-7642\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-9))\/(90\/(-3375)))\/(2\/(-4))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2. Let x(y) = 4*y + 7. Give w(x(b)).\nAnswer: -32*b**2 - 112*b - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2259 - 1217 - 1519)*(2*h - 3*h - h) to the form p*h + n and give p.\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44297 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 24. Let p be r(0). Does 25 divide (30\/p)\/(1\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9 + 4 = -5*o, -w + 7 = -5*o. Let n be (78\/(-65))\/(o\/5). Solve -k - n + 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -484, -11, -30957 in descending order.\nAnswer: -11, -484, -30957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**13*v**(-6\/13)*v**(1\/10)*v*v\/(v*v\/(v*v*v**16)) assuming v is positive.\nAnswer: v**(3983\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 18*c**2 - 15*c + 36. List the prime factors of m(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*b + 36 + 144 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 796 = -4*f + 244. Let m = f - -142. Factor -117\/4*j**3 + 10*j**2 + 81\/4*j**m + 0 - j.\nAnswer: j*(j - 1)*(9*j - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -651\/5*n**3 + 147\/5*n**4 + 474\/5*n**2 + 444\/5*n + 72\/5 = 0. Calculate n.\nAnswer: -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q*q\/((q\/q**4)\/q*q)*q)\/q*q)*q)\/(q\/q**0))\/(q**(1\/4))**(-1\/28))\/((((q\/q**(-1\/4))\/q)\/q)**(-1\/6)\/(q**(-3\/7)*q**6)) assuming q is positive.\nAnswer: q**(51\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28594?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -10, -4*f = -4*c - 5*f + 233. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 0*m**2 - 3*m**2)*(1 - 20*m - 29*m + 35*m).\nAnswer: 70*m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 - 15*c + 61\/4.\nAnswer: -(c - 1)*(c + 61)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 93934.8 decades in millennia?\nAnswer: 939.348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-350)\/(-40) - 2\/(-8). Suppose c*u - 195 = 21. Factor u*z**3 + 32*z - 8 - 44*z**2 - 9\/2*z**4.\nAnswer: -(z - 2)**2*(3*z - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 2 + 3 - 7. Let l be t(2). Suppose -l*r = -6*r + 40. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -0.4 (b) -0.04 (c) 5 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5042, 10029, 15002, 19961, 24906, 29837?\n\"Answer: -7*a**2 + 5008*a + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 417248 and 417262 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 3*v + 702. What are the prime factors of g(0)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 12 - 90*j + j**3 + 91*j - 12.\nAnswer: 4*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.94 - -0.06. Let h = 14 + -15. Are h and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -26. Let f(h) = -h**3 + 9*h**2 + 15*h - 1. Let j(k) = k. Let q(s) = u*j(s) + f(s). Let m be q(10). Put 4, m, 5 in descending order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 - -16.5. Let m = l + -20.3. Which is the third biggest value? (a) 1\/4 (b) m (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3494 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 + 2*c**2 + c**3 + 0*c**3 - 2 + 6. What is the units digit of i(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v - 403. Determine a(51).\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 40*z - 1526. Give f(38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 + 7\/(-21)*30. Let x be (-2)\/8 + 21\/4. Which is the closest to g? (a) 2\/5 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.05. Let v = -0.01 + -0.39. Which is the second smallest value? (a) v (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 100011010100100?\nAnswer: -100011010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) 1455 (b) 42\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*m + 2*i, 4*m + 6 = -i - 2. Let z = 7 - 1. Let f = -5.9 + z. Sort -5, m, f.\nAnswer: -5, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(((s**(1\/22)*s)\/s*s)\/s)*s*s*s**(-5\/2)\/s)\/(s**(-10\/3))**(-4\/3) assuming s is positive.\nAnswer: s**(-395\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 - -5*21\/7. Solve a*h = -0 - 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45510 by -4551.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 280947 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/4)*d\/(d**(-3\/2)\/d))**(-22)\/((d**(-3\/7)*d**1)\/(d**(-2))**2) assuming d is positive.\nAnswer: d**(-1373\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/((-11)\/18)*26\/(-26)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453594 is divided by 189?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85, 86, 87, 88, 89?\n\"Answer: c + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 11*j**3 + 16*j**2 - 26*j - 40. Suppose -3*g - 18 = 15. Let b(x) = -21*x**3 - 31*x**2 + 51*x + 80. Let p(w) = g*l(w) - 6*b(w). What is t in p(t) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, 5, 4, 1, -3 in descending order.\nAnswer: 5, 4, 1, -3, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 525241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 218652863 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 53 = 169. Let f = w - -773\/7. Let q = -0.7 + -0.3. What is the closest to f in 0.1, q, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c\/(c\/(c\/(c\/((c*(c\/c**(2\/25))\/c*c)\/c))))*c**(-4\/7))**(-20\/7) assuming c is positive.\nAnswer: c**(-2344\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 126\/13?\nAnswer: 126\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5628040 divided by -511640?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 751932043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21712966861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 4. Suppose -3*w = -2*t + 1, 5*t + 5*w + 11 = 1. Sort t, x, 0, 3 in decreasing order.\nAnswer: x, 3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbbbbbqbbqq?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1591*c + 1595*c + 88, 0*c + 72 = -7*p - 2*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 404150201 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from xoorwooroobbobqo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 783028, 783024, 783018, 783010?\nAnswer: 783000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2586 = 3*d, 38*d - 35*d = 12. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - 0.58. What is the smallest value in -0.2, r, -0.07?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (26\/39)\/(3\/(-2916)*-3) is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14690 and 14040?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12035328 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 155 = 4*h + 3*r, 0 = -2*h - 5*r + 81. Suppose -4*n + h = -0*n. Suppose -n = -w + o, -2*w + 2*o = -o - 19. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 263821 (base 9) to base 16\nAnswer: 2723e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 545 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74247225, 0, -5 in descending order.\nAnswer: 0, -5, -74247225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/459, 1\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*b - 2 - 8, b - 23 = 3*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24708 - 24746 - (1 - (-85 + 0))\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 2*r + r - 10, -2 = 2*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 20. Suppose -82 = 9*t + 35. What is r(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 532025 (base 7) to base 8\nAnswer: 263447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38400, 38423, 38486, 38607, 38804, 39095, 39498?\nAnswer: 40031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*f - 42 = -0*u, 2*u = -f + 56. Suppose -s + 3*s + u = 4*d, s = -5. Suppose -d*o = -9 - 1. Solve 4*i - 3*r = -7*r - 28, o*i - 1 = 3*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - s. Let q be w(2). Suppose -4*p = -12, 2*l + q*l + 16 = -4*p. Sort -0.5, l, -0.2 in increasing order.\nAnswer: l, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s, -3*f + 2*s = 4*s - 6. Let b be 3 + (-3 - f - -4). Factor b*w - 3 - w**2 + 3*w**2 - 4*w**2 + 7.\nAnswer: -2*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -1458, -3725, -7012, -11385, -16910?\nAnswer: -23653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 51335706.\nAnswer: 51335704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -1) + (10 - 15 - -12). Which is greater: -2\/235 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m. Let x(j) = -j + 4. Let i be x(0). Let t(y) = -11*y + i - 4 + 0. Calculate h(t(c)).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2106\nAnswer: 1\/1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o. Let c = -979 - -979. Let l(f) be the second derivative of 13*f + 1\/12*f**4 + 0*f**3 + 0*f**2 + c. Determine l(x(a)).\nAnswer: 49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79687 is divided by 406.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*v + 15 = -0, -3*f + 9 = v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4245760 divided by -80\nAnswer: -53072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggggcgcgggggcggggggg?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 56*h**2 - 820*h + 286. Give l(68).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 2*z + 4*z)*(2 - 2 + z) + 2 - 2*z**2 - 2 - z**2 + 15*z**2 + 7*z**2.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10792*t**3 - 7*t - 1829 wrt t.\nAnswer: 64752*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 + 3245 = -233*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2010)\/15*256\/(-512).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d3 - -627?\nAnswer: 6fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 360 by 15729.\nAnswer: 120\/5243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -22. Suppose -4*n = 5*r + 23, 0*r - f = -2*n + 3*r. What is the smallest value in 0.3, n, 1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3986 * 3552.\nAnswer: -14158272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -a5 (base 11) to base 2\nAnswer: -1110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*((-90*g - 83*g - 45*g)*(1 + 2 - 2) + 10*g - 64*g + 30*g).\nAnswer: -242*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7596 and -0.168141?\nAnswer: 7596.168141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - (-9 + -3 + 14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/(((-853600)\/240)\/(-55))\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 43*n**2 - 21*n + 12. Let a(f) = -22*f**2 + 11*f - 7. Let k(u) = 11*a(u) + 6*l(u). Let m(h) = 48*h**2 - 14*h - 14. What is -14*k(g) + 5*m(g)?\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2160 (base 7) to base 14\nAnswer: -3d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y - 5. Let t be h(0). Let n(s) = -45*s + 0 + 2 + 49*s. Let f(z) = 3*z + 1. Determine t*n(x) + 8*f(x).\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-56)\/(-42)*(-138)\/(-8). Suppose 0 = 2*w - 5*f - 122, -w - f = -38 - p. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 73 = 183. Suppose 0 = r - 5, 0 = 3*d - 6*d + 4*r + j. Suppose 6 = 4*z - d. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 16352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, -74, 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caccvcccccoc. What is prob of sequence oa?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23016286.\nAnswer: 2, 11508143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (18159\/6 + (1 - 4))*(33 + -29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535627 plus -597?\nAnswer: 1535030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1202 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 12*c - 1. Let v be u(-12). Sort -4, 4, v.\nAnswer: -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4662 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*f - 1459 - 581 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -4\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and -3 - ((3 - 2) + -7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let g = 3 - d. What is the nearest to 2\/7 in 2\/7, g, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4180492523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 12243?\nAnswer: -12301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnr when three letters picked without replacement from rnnnnnnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-7)\/56*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 26, -1, -8, 4824, 0 in ascending order.\nAnswer: -8, -1, 0, 5, 26, 4824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**5\/7 + 668*d**4\/7 + 27404*d**3\/7 - 7604*d**2 - 152544*d - 141120 = 0. What is d?\nAnswer: -84, -5, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/(-70) - (-44)\/10. Find the third derivative of -26*z**2 - 22*z**4 - 25*z**4 + 92*z**4 + 39*z**g wrt z.\nAnswer: 2016*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-32))\/(1\/(-16)). Calculate the common denominator of -8\/27 and 44\/(-21)*(-18)\/k.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8.2 = 3\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 - (8 - 4). Let x(r) = r**3 + 8*r**2 + 9*r - 10. Let t be x(z). Solve -5*q = d - 6*d - 30, 3*d - 5*q = -t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 541)\/((-1200)\/(-170) + -7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*o + 16 = -4*i - 106*o, -7 = 3*i - 2*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-70)\/(-21))\/((-6)\/9). Let h be k - -3 - ((-4)\/2 - -2). Let m = 606\/55 + -130\/11. Which is the smallest value? (a) m (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 5855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + -1 + (-55)\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 10 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 2*f - 3. Let w be i(-2). Let v = 13 + w. What is the least common multiple of v and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 16*g**2 + 214*g - 54. Let m be v(15). Calculate the greatest common divisor of m and 394.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3\/5, -10, 0.003525 in descending order.\nAnswer: 0.003525, -0.3, -3\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icnp when four letters picked without replacement from npucinciucpcp.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 + 3*w + 762. Let b(h) = 1665*h. What is i(b(s))?\nAnswer: 8316675*s**2 + 4995*s + 762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 260278391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + 3445012?\nAnswer: 3444542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/16*(-230)\/115.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -210*m**4 + 49760*m**2*u**2 + 7345*u**2 + 847 wrt m?\nAnswer: -840*m**3 + 99520*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 230413230 (base 5) to base 2\nAnswer: 11111011010001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**21)**(4\/11) assuming b is positive.\nAnswer: b**(-80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16\/2498875?\nAnswer: -16\/2498875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 12*z + 112 = 7*p, -3*z - 2*p + 34 = 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -6*t - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11122 (base 5) to base 12.\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -39542484780 and 0.04.\nAnswer: -39542484779.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3 + 28 = 0. Suppose 0 = 4*x + 2*i - 22 + 2, 5*i - 2 = 2*x. Find the third derivative of k**4 - x*k**2 + f + 6*k**2 - 5 wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 + b + 3*b - 34*b**2 - 4*b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c - -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 + 9 + (8 - 11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 6)*(-p**2 - p**2 + 5*p**2) - 9*p**2 + 16*p**2 + 6*p**2.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4708, -37050, -124866, -295894, -577872, -998538?\nAnswer: -1585630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 5:58 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from {r: 3, m: 1, s: 4, a: 4, v: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115654179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnpffofnfo. What is prob of sequence popn?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*c - 3*c. Suppose -a - 3*h + 198 = 3*a, 5*a - c*h - 236 = 0. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.887 - -1.387. Which is the second smallest value? (a) o (b) 5 (c) -2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -594 or -595?\nAnswer: -594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(39)*-3)\/sqrt(3) + -5) + 3.\nAnswer: 23 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r + 46. Let g be i(-8). Let a = 30 + g. Solve 2*z - a + 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - 33\/(-12). Suppose -n + 16 = -4*j - 5, n = o*j + 18. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94162 is divided by 897.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30100230031311 - -3?\nAnswer: -30100230031302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1 + t**2 + 3*t - 7*t - 4 + 0. Let u be i(5). Let l(o) = o**2 + 14. What is the remainder when l(u) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 604, 908, 1210, 1510, 1808?\nAnswer: 2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -3*q**4\/16 - q**3\/3 + 13*q**2\/8 - 3*q\/2 - 18. Find i such that h(i) = 0.\nAnswer: -3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 5540160.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(15)*3)\/(sqrt(5) + 1*sqrt(720) + sqrt(720)).\nAnswer: 3*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84753179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78 - (-56 - -126)) + -41 + 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**0)\/g))**(-40)\/(g**(1\/4))**(-44) assuming g is positive.\nAnswer: g**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 21. Suppose 4*o = h*o. Suppose 4*m - 18 = -b, -13*m + 3*b + 11 = -12*m. Solve o = m*i, 2*i = -7*n + 3*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nykn when four letters picked without replacement from kyyskknyknnknknyy.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269819, 272909, 278061, 285275, 294551, 305889?\nAnswer: 319289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880)*1*-6 + 4*sqrt(2880)*1)\/(-3*(sqrt(441) + -2*sqrt(441)) + sqrt(441) - sqrt(441) - ((sqrt(441) + sqrt(441)*2)*2 + sqrt(441) - sqrt(441))).\nAnswer: 16*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -143630 * -1.74\nAnswer: 249916.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 40*q - 3490 = 0. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -27907*q**2 + 0 + 27901*q**2 - 3. Give j(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843 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 a = 1 - 0. Let y(l) be the first derivative of 2*l + l**3 - a + 1\/4*l**4 - 5\/2*l**2. What is y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**6\/120 + 7*x**5\/60 + 5*x**4\/24 - x**3\/2 + 20*x**2. What is j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -834 - -862. Let h(d) = d**2 + d. Let o be h(1). Suppose o*v = -0*v + a. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*j + 7, -3*j + 0*g = -2*g - 17. Suppose j*r - 3 = 7. Suppose 2*u - 8 = 0, -20 = 4*v - 0*v - 5*u. Put r, v, 0.4 in descending order.\nAnswer: r, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1836 + 1859. Solve -o*d + 23 = -92 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45905 is divided by 3759.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/4))**(1\/9) assuming u is positive.\nAnswer: u**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = 4*v - 36, 4*v = 4*u. Suppose -3*g + m - 25 = 0, 0*g + 5*g = -v*m - 19. Let q(z) = -4*z - 4. Is 12 a factor of q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n = 6. Suppose 3*f + 3*j = 60, -5*f + n*j + 80 = j. Let p(s) = 6*s**2 - 1472*s - 4425. Calculate the lowest common multiple of f and p(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.45921 and -4.\nAnswer: -1.83684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/2 + 53098*y + 106194 = 0. Calculate y.\nAnswer: -106194, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14922 - 17601 + 13*g + 32523.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 204286, 204281, 204276, 204271, 204266, 204261?\n\"Answer: -5*a + 204291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 3*x**2 + 6*x + 5. Let r(u) = -1 - 230*u - 5*u**2 + 117*u + 4*u**2 + 112*u. Determine -n(i) - 5*r(i).\nAnswer: 2*i**3 + 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 0.6, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5421559 and 2502258?\nAnswer: 32529354","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-2)\/(90\/25))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 4*l**2 - 1 - 1 + 3. Let s(o) = -9*o**2 - 2*o - 1. Let c(g) = 7*b(g) + 3*s(g). What is the units digit of c(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 + 0)) + (-1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*j + 526*j + 1338 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2abe + c9?\nAnswer: -29e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66198?\nAnswer: 2, 3, 11, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 809028 + -294102. Let s = 3594986\/7 - z. Let x = s + 1359. Is 2 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1078*k**3*m**6 + 17*k**3*m**3 - 2*k**3*m + 3*k**2*m**2 - 2*k + 13965*m**2 wrt m?\nAnswer: 129360*k**3*m**3 + 102*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/240)\/(1*-1*-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10011*z + 2 - 10011*z + z**3.\nAnswer: z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 75*f + 6. Let n(a) = -75*a - 7. Determine -4*b(k) - 3*n(k).\nAnswer: -75*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -36423747 (base 8) in base 13?\nAnswer: -1873b5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 294563, 589598, 884637, 1179680, 1474727, 1769778?\n\"Answer: 2*r**2 + 295029*r - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 1bc?\nAnswer: 1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 9*j = -5*j - 299 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + k - 4*k)*(3 + 7 - 55) to the form b*k + c and give b.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + z**3 - z**2 + (-4*z - 4*z + 6*z)*(-4 - 4*z - 13317*z**2 + 13312*z**2 - z).\nAnswer: 11*z**3 + 10*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/155034 and -71\/1731213.\nAnswer: 10387278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8409*m - 16810. Determine p(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -5*(sqrt(448) - sqrt(7)) - ((sqrt(42) - sqrt(378))\/sqrt(6) + 2)) + 0)**2*-5.\nAnswer: -38240 - 1650*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 2:56 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + y**2 - 2*y**2)*(-11*y**2 - 196*y**3 + 197*y**3 + 90 + 14*y**2).\nAnswer: -6*y**5 - 18*y**4 - 540*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Let s = r - -4. Suppose 0 = -2*b + s*b - 52. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8a3 + ff?\nAnswer: -7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.2, -3, -1, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*n - 6 = 0, 2*n - 6 = 2*z - 0*z. Let s(g) = g**2 - 2*g - 6. Let c(k) = 3*k**2 - 3*k - 12. Let x(l) = 3*c(l) - 7*s(l). Does 9 divide x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52333*w = 52140*w + 6176 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.12, 1\/3, -1?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + (sqrt(90) + sqrt(90)*-1 - sqrt(90))*4)\/(sqrt(36)\/(sqrt(18)\/sqrt(3))))\/(4*(sqrt(324)\/(sqrt(12)*-2))\/sqrt(9)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 15. Which is the closest to 0.1? (a) v (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 974 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: Factor -3*n**3 - 4260*n**2 - 59007*n + 63270.\nAnswer: -3*(n - 1)*(n + 15)*(n + 1406)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/10520 and 46\/15?\nAnswer: 31560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 452 - 669643\nAnswer: -669191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, r: 6, v: 3, a: 1}. What is prob of picking 1 t, 1 v, and 1 a?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 3) to base 4.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2092 is divided by 211?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o + 4*p, -o - 5 + 0 = 3*p. Let d be 0 - (6\/9 - o). Let z = 102 + -101. What is the nearest to 0.1 in -1\/6, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/40 and -91\/100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**3\/3 + 9. Let o(x) = 0*x**2 - 2*x**2 + 4*x**2. What is o(h(d))?\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 + 7*c + 14*c**3 - 7*c + 1 to p*c**3 + v + h*c**2 + n*c and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1 + 0 + 1)\/(-1))\/(-2). What are the prime factors of 2\/(-5) + k + 88\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/4 + 1 + 13. Suppose 22*i = w*i + 72. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y = 105. Let t = y + 38. Suppose 10*d = 9*d + t. Solve 4*z - 2*z - 10 = 0, d*l + 4*z - 11 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -3cbe?\nAnswer: -3cb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 4*t - 65 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 4*v + 38. Is w(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(20) - sqrt(5))*-4.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-20) - (-54)\/15. Let j be (-70)\/(-25) - 1\/(-5). Suppose 7*h - 25 = j*w + 2*h, -2*w + 3*h - 15 = 0. Solve 5*m - o*m - 10 = w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235102?\nAnswer: 2, 7, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a minute in seconds?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-1 + 6 + (-8 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10811.\nAnswer: 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*m**2 - 105*m**2 - 111*m**2 - 108*m**2 + 603*m**2 - 170*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.26 and -613.8161.\nAnswer: -613.5561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 325.06 - 332. Let m = -0.74 - l. What is m rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 18.98, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 1302861865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 24 - 2*r - 6*r + 3*r + 2. What are the prime factors of d(-12)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 - 3. Let x(d) = 2222 - 2222 + 2*d**2. Calculate x(s(i)).\nAnswer: 32*i**4 + 48*i**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0103 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0004 in 5, 1, -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(5 + (sqrt(1573) + 1)*6 - -4*(sqrt(1573) + -1 + sqrt(1573))*5).\nAnswer: -32 + 1518*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5236 and 21\/10?\nAnswer: 26180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x + 1853 = 1749 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9434 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**6 - 8159*b**5*s**3 + 50475*b**2*s**3 wrt b?\nAnswer: 360*b**3 - 489540*b**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3)*v)\/v)**(-32\/5)\/((v\/(v**(-3\/2)*v)*v*v*v)\/((v**(4\/3)*v)\/v)) assuming v is positive.\nAnswer: v**(-53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 12 = 18. Let g(y) = -y**2. Let m(j) = j**3 - j**2 + j. Let v(w) = 6*w**3 - 8*w**2 + 5*w. Let z(o) = -10*m(o) + 2*v(o). Calculate r*g(k) + z(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by 477?\nAnswer: 122\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -1331765, -4, -3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaaaakkaakka?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-2)\/6)\/(14\/84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.753381 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1701 + 1700. Sort u, 18, 2 in ascending order.\nAnswer: u, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*t*v**3 - 65*t*v - 12*v**3 - 2*v**2 - 86*v with respect to t.\nAnswer: 18*v**3 - 65*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5700 and 874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7560 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 39*b + 2. Let i be h(2). Suppose -2*s = 3*s - i. Let g = 59.1 + -59. Is s <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -15260.86.\nAnswer: 30521.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -926839 and 0.27?\nAnswer: 926839.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 30 = i. Suppose -5*c + i = -c. Let b = 140 - 95. Calculate the greatest common factor of c and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-6))\/(-10)*((-1080)\/(-16))\/9?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 15 + 1 = 3*s, -10 = 2*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*l + l - 720 = 0, 5*o + 2*l - 1784 = 0. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/600*5*(-9)\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(3)*-2) - (4 + 1*sqrt(13))) + (((sqrt(468) - 4*1*sqrt(468)) + sqrt(468) + sqrt(468) - sqrt(468)) + sqrt(468))**2.\nAnswer: -3*sqrt(13)\/2 + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 637 + -636.4. Let f = -0.35 - -0.15. Sort f, -2\/17, h, 3 in decreasing order.\nAnswer: 3, h, -2\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386684065 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 35*f**2 - 53 + 8*f**2 - 19*f + 86 - 50. Is n(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -62*v**5 + 3*v**4 - 8*v**2 - 3. Let c(g) = -123*g**5 + 7*g**4 - 16*g**2 - 7. Let q(o) = 3*c(o) - 7*u(o). Find the third derivative of q(m) wrt m.\nAnswer: 3900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 4*j + 4 = 5*d, 4 = 3*d - 4*j. What is the fourth smallest value in 2\/9, -5, -1, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k**3 + 7*k**3 - 15*k**3 - 4*k**3.\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (4 + 5 + sqrt(475)) - (sqrt(475) + -5*(3 + sqrt(475)) + sqrt(475))) + -6*1*sqrt(475)*-5*5)**2.\nAnswer: 9180*sqrt(19) + 11119311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -315, -975, -1975, -3315, -4995, -7015?\n\"Answer: -170*f**2 - 150*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + k + 0)*(-89 - 123 - 276 - 9).\nAnswer: -497*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s - 24. Let w be o(-25). Suppose -m + 3*p + 37 = -8, -4*m = -5*p - 159. Let r = w - m. Calculate the remainder when r is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 5*t + 2, 30 = -5*a - 164*t + 169*t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -109 in -2\/297, -5, 2\/11, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 62, -0.38, -38, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1188, -1091, -930, -705?\n\"Answer: 32*f**2 + f - 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5544\/63 - -5) + -54?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*d**2 - 522*d**2 - 195*d + 123*d**2 + 195*d - 589*d**2.\nAnswer: -922*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*s + 14, s - 2 + 6 = 0. Suppose 724 = 2*j + z*j. Let h = j - 58. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -3. Let d be 2\/(-4) + 51\/g. Let p = d - -6. Sort 5, p, 0 in descending order.\nAnswer: 5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 + 11?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -5768\/19 and -303 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 40 = 5*b + 6*i, -4*i = 4*b - 36. Let j(l) = -l**2 + 6*l - 1. Let r(q) = -q**2 + 5*q - 1. Give b*j(m) - 5*r(m).\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1214 + 1213.91384. Let o = k + 0.085. What is o rounded to 5 decimal places?\nAnswer: -0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 9:18 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 11*t**2 - 11*t - 4. Calculate the remainder when 10 is divided by v(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -13*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4409 times 2.6?\nAnswer: 11463.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221847 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 20*s - 21. Let l be w(-17). Let y = 43 - l. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 674 times 2.46\nAnswer: 1658.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j. Let v = 26 + -51\/2. Let x(a) be the first derivative of -v*a**2 - 1 + 0*a. Calculate x(r(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 225?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -2\/15, -6, 13, -0.01, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002369070674 to 7 decimal places.\nAnswer: 0.0000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - 3 + 3)*(906 + 682 + 578 + 995 - 770).\nAnswer: -2391*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/504 and -131\/756.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 70 times -5.699\nAnswer: -398.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -511 - 3?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 29. Let z = -26 - j. What is the units digit of (-58)\/z + 6\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2088 divided by -174\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327374 a multiple of 1046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 928.5097ug?\nAnswer: 0.9285097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 14*p + 41 = 9*p, -r + 5*p - 4 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 695239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 + 1. Suppose 3*w = 2*k + 37, -3*w - 61 = -6*w + 5*k. Calculate the smallest common multiple of i(1) and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 84 + -86 + -2 + (-2018)\/(-460) and -73\/10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-174)\/3)\/(13 + -5 + -16)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3 + 65248*f**2 + 65236*f - 130488 = 0. Calculate f.\nAnswer: -16311, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, a: 1, v: 1, f: 3}. What is prob of sequence vc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + z - 6779 - 27596, 5*z = -o + 17192. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142 - 145. Let c be (-7 + -2)\/3 + (13 - o). Solve -c + 37 = -8*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -617 = 26*k + 423. What is the hundreds digit of (-69884)\/k + (-8)\/80?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/70 and 101\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 719.9 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37113019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1356 - 677. Suppose 0 = -2*c + p + 1057. Suppose -165 + c = b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 h, and 1 b when three letters picked without replacement from iihiirrbhbbhhhubbr.\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*p**4 + 1476609*p**3 - 217658880*p**2 wrt p.\nAnswer: -504*p + 8859654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.8 + -30. Let x(r) = -2*r**2 + r - 1. Let t be x(1). Let o(a) = a**3 + 4*a**2 - 7*a - 6. Let h be o(-5). What is the nearest to t in 2\/7, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/27*(-3)\/(-63)*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 340*s**4 - 535*s**4 - 1551*s**2 - 416*s**4 + 265*s**2 - 195*s**4 wrt s?\nAnswer: -19344*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123985 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t**2 - 2*t**2)*(-2*t - 1 + 1) - 106*t**2 + 21*t**3 + 106*t**2 + 2*t**2 - 2*t**3 - 2*t**2.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 256 + -255. Solve b = -g + u + 1, 2*b = -3*g + 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 6 - 2 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - y - y + (1 + 1 - 3)*(2*y - 2*y + 2*y) + 1 - y - 1 + (-2 + 4 - 1)*(3*y + 2 - 2 + 1).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 76 + -16 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*h, 5*h + 17 = -f - 6. Solve -5 = -5*x, 4*x = 2*p - f - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -769*x**4\/2 - 322*x**3 - 343*x + 5. What is the second derivative of z(w) wrt w?\nAnswer: -9228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8296?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 84.4553ms?\nAnswer: 0.0844553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 3)\/(2\/(-8)). Let y be (-8)\/16*d\/1. Suppose z + 443 = y*t + 4*z, -2*z - 894 = -4*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3 + 182*p**2 + 185*p - 366 = 0.\nAnswer: -2, 1, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3397422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -667, -1011, -1355, -1699?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1260412?\nAnswer: 1\/315103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = -836*p + 923*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*c = 7881, 1063 = 3*d + 5*c - 4884. Let n = d - -397. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.19 - -0.21. Sort 1\/5, u, 5 in decreasing order.\nAnswer: 5, u, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + 2*p - 4*p)*(6*p**2 - 20*p + 16*p + 4*p) as c*p**3 + x*p**2 + k*p + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*((-2 + 1 - 1)*(-3*u + 4 - 4) - u - 2*u + u) + 3 - 3 + u + (2 + 0 - 4)*(2*u + u - 5*u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1691709.3s?\nAnswer: 19.57996875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -9. Let i = l - -1.0000084. Round i to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -1)*-2.\nAnswer: -12*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 593 = 5210. Let s = m + -824. Put -2, -5, -75, s in increasing order.\nAnswer: -75, -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0. Let q = 82 - 575\/7. Let i = 1.4 - 1.1. Which is the second smallest value? (a) i (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 9*d - 4. Let b be p(9). Let o = -8 - b. Let u = o - 1. Sort -3, -4, u in decreasing order.\nAnswer: -3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 62 = -2*z + b, -5*z = -5*b - 110. What is the remainder when 59 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(l**3 - l**3 - l**3) - l**3 + 5*l**3 - 2*l**3 + (l + 3*l + 0*l)*(7 - 7 + 6*l)*(2*l + 0*l - 4*l) as r + i*l**3 + s*l**2 + f*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*p - 39*p + 28 - 44*p + 38 wrt p?\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.433197 to one dp.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-462)\/(-2541) - (-182)\/(-33) - (-12 + 7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*h**4 + 6*h**3 + 2765*h - 31583590 wrt h.\nAnswer: 216*h**3 + 18*h**2 + 2765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Suppose -2 - 6 = -v. Let s(c) = 2*c - 12. Let g be s(v). Solve 5*d - z*d = g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*r + 4*z + 99, 4*z + 96 = 3*r + 67 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 5. Let l be r(5). Let o be 1 + 0 - (-3 - -2). Suppose -o*h + 195 = 3*w, 0*w = 2*w + 10. Calculate the greatest common factor of h and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 6:01 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 793 and 7137.\nAnswer: 7137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 106\/20*2*((-1)\/(-10))\/(2328\/(-116400))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42.0174 + -42. Round y to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 47. Let y(l) = l**2 - l + 5. Determine y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by 12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 83 = 14*h. What is the remainder when h is divided by 1\/((-12)\/(-255)) - 1\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -98 + 189 - 92 - 12*s**2 - 2*s. What is d(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**6\/20 + s**3 - 2*s**2. Differentiate l(y) wrt y.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09726219 and -1.1?\nAnswer: -0.106988409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -13. Let c = y + 13. Let x(z) = -z**3 - 7*z**2 + 8*z - 5. Let j be x(-8). Sort c, j, 4.\nAnswer: j, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -174 + 183. Suppose n*j - 606 = 15. Calculate the greatest common factor of j and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 335*w**3 + 328*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/23, 2, 1\/4, -10, 449455 in ascending order.\nAnswer: -10, -3, 2\/23, 1\/4, 2, 449455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -5. Let l = -3 - k. Let r = 5 + -9. Which is the nearest to -1\/2? (a) r (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jggg when four letters picked without replacement from {j: 2, g: 7, y: 3}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 646, -1, -10, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 16*j**2 + j + 11. Let o be s(16). Suppose 4*t = 75 - o. Solve -9*z = -t*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6778758 to the nearest integer?\nAnswer: 2604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*h - 40 + 14 = -825*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -30*l**3 + 15*l**2 + 4*l + 3. Let g(y) = 90*y**3 - 50*y**2 - 12*y - 10. Give -3*g(h) - 10*s(h).\nAnswer: 30*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -270934 - -7709?\nAnswer: -263225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1158 = -5*r + z - 4*z, 0 = 4*z + 16. Suppose 0 = v - 4*w - r, 0 = 3*v + 4*w + 485 - 1235. What is v rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259 - 253. Let x be -1*(l - (-5)\/(-5)) - -17. Solve -g = -7*g - x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*16\/30*3. Let u be (2\/(-3))\/(j\/168). Suppose 0 = -5*q + u - 4. Solve 0 = w + y, 2*w + y = -2*y + q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 320452 + 0?\nAnswer: 320452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jatvttvjta. What is prob of sequence tvj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/705 and -19\/57770.\nAnswer: 8145570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 47134 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2.5. Let d(q) = -13*q**3 - 3*q**2 - q + 1. Let n be d(-2). Let w = n + -757\/8. Which is the closest to -0.2? (a) w (b) 1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 159*a - 14. Let z(q) = 7*q + 3755. Give u(z(w)).\nAnswer: 1113*w + 597031","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-15) - 1\/(-5). Let b be (-3 + x)*11\/22. Let r be (-1 + 227)\/(b\/5). Round r to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 812*g - 3027*g**2 + 1512*g**2 + 1513*g**2 + 183*g as j + w*g + p*g**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*n**2*r**3 - 39516*n**2*r + 157*n**2 - n*r - 3*n + 3500 wrt r.\nAnswer: 57*n**2*r**2 - 39516*n**2 - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2475773 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17251 + -10182. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 4546822*k\/3 + 12124816.\nAnswer: 2*(k - 2273403)*(k - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 - -39. Let w be k\/18 + 3 + -1. Let u = -0.3 + -0.7. What is the nearest to u in 0.1, w, 1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022841449 rounded to 6 dps?\nAnswer: -0.000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulpaumb. What is prob of picking 1 a, 1 p, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4119903*p. Let i(d) = -6*d**2. Determine i(b(w)).\nAnswer: -101841604376454*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2516 and 1462.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8.5, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjr when three letters picked without replacement from gjvrrvjpjj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 11?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 + 119. Find the second derivative of 37*i + 17*i**b + 32*i + 84*i + 47*i wrt i.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - r + 2)*(-4*r + r + 4*r) + (-r + 2*r - 3*r)*(-r + r - 5*r) - 3*r**2 + 2*r**2 + 3*r**2 to the form p + q*r + l*r**2 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c - 3*a + 39 = 0, 32 = -4*c - a. What is the least common multiple of -6 - -2 - (c + -3) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163714.224 - 0.4?\nAnswer: -163714.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 + 205*l**2 - 205*l**2 + 7*l**3.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-17)\/(-2))\/(4\/384*-4). Let m = 323 + d. Let r = -68 + m. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000054071346 to seven dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 372 (b) -0.3 (c) 14\/9 (d) -4 (e) -2 (f) 9\/5 (g) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 140*u + 2788. Calculate d(116).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211 + 10?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u. Let x(n) = 5*n + 5*n - n + 10*n. Calculate o(x(l)).\nAnswer: 57*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53110632 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/8)*(((o*((o\/o**(2\/5))\/o)\/o)\/o)\/o)\/o)\/((o*o**(-6))\/o*o*o\/o**(-7)*o)*(o**(1\/11)\/(o*o**(-4)))\/(o**1*o\/(o\/(o\/o**(-2)))) assuming o is positive.\nAnswer: o**(-3601\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 3*k**2 - 4*k - 4. Let f be j(-5). Suppose -3*r + f = -0*r. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 - 37. What is the units digit of (-2971)\/(-4) + g\/276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, y: 1, s: 3}. What is prob of picking 3 s?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*b + 92 - 9*b - 21*b.\nAnswer: -143*b + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9 + 13 + 5*b - b**3 - 26 + 3*b**2. Suppose -4*t + 4*g + 0 = 8, 7 = 4*t - g. What is z(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p**2 - 28*p**2 - 32*p**2 + 91*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 13. Let f = 1 - -4. Suppose 0 = -x + f - 2. Solve x*c + 12 = v*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2234, 1\/6, 10, 2, -8\/5, 0.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -4*z. Calculate the highest common factor of 9 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**4 + 12*x - 88. Let m(j) = -4*j**4 + 14*j - 87. Let r(l) = -5*m(l) + 6*u(l). What is the first derivative of r(t) wrt t?\nAnswer: -40*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t + t**2 + 169*t + t**2 + 23*t as b*t + c*t**2 + q and give b.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-210)*4\/10.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j - j)*(-j - 2*j + 2*j)*(-116 + 21 + 32)*(-3*j**2 + 14*j - 14*j).\nAnswer: 378*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 299639677 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**5\/80 - 3*g**4\/16 + 5*g**3\/8 + 23*g**2\/2 - 35. Let r(a) be the second derivative of u(a). Suppose r(f) = 0. Calculate f.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:28 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5 - 13 + 5 - 12*l**2 - 7*l + 3*l**2. Let a(h) = -4*h**2 - 3*h - 6. Let c be ((-1)\/((-2)\/(-28)))\/(-2). Determine c*a(g) - 3*i(g).\nAnswer: -g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6*-6*1. Calculate the greatest common divisor of 28 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v - 5*v + 2*v - 5*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 1. Let o = 59\/399 + -2\/399. Which is bigger: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.1613 * -1.4.\nAnswer: -29.62582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 7*m - 27 = 0. Find the third derivative of 6*d**2 + 4*d**m + 2*d**2 - 8*d**3 wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 4*s - 6*s)*(-5 - 1 + 4) + (3*s - 2*s + 0*s)*(3 - 3 + 3).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 32. Let j be v(37). Let o be ((-4)\/6)\/((-4)\/(-6)). What is the remainder when 87 is divided by (o + 78\/(-10))*j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, d: 4, t: 2}. What is prob of picking 1 t, 2 d, and 1 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 102 = -4*s, -s - 105 - 54 = -4*y. Let i = -65 + y. Let k = -0.141 - -4.141. Sort k, i, 1\/7 in descending order.\nAnswer: k, 1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2364 = 4*a, -7*b - 1746 = -3*a - 4*b. Let n = a - 394. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -x - 4*x - 9, 0 = 5*l + x - 9. Let q be (4\/3)\/(l\/6). Solve q = -y + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Suppose -2*i - 14 = -4*q, -a*i + 5*q = 11 + 11. Let d be (-3)\/2*6\/i. Which is smaller: -2\/11 or d?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 43*o - 810. Let g be b(19). Solve g*p = -4*y + 4*p - 29, -p - 3 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215906.\nAnswer: 2, 3, 191, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.9542 + -3.4542. Let b = 1.6 - -10.4. Let j = -209 - -2297\/11. What is the smallest value in j, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 75, 90, 105, 120?\n\"Answer: 15*l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 2*c + 7. Calculate l(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 1005 = 23*p + 41*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**4\/6 - b**2. Let s(f) = -9*f. Suppose 2*a + 11 = -i, 0*i + 5*i + a + 19 = 0. Calculate i*s(n) - 7*q(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*y = 3*y - 16, -y = 4*v + 20. What is the units digit of (-1)\/v - (-108)\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4 (b) 5 (c) -14 (d) 4.51 (e) -5 (f) -86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (10 - (-16 - -33)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3272 is divided by (8 - 11)\/(47\/(-611)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**1\/q*q)*q)**22*(q\/(q*q\/q**7*q))\/q**(1\/12))\/((q**(-6)*q**3)\/(q**(-5\/6)\/q*q*(((q**0\/q)\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(301\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + (1 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4 - 2295*p**3 + 73308*p**2 - 573120*p = 0. What is p?\nAnswer: -796, 0, 15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/16 - 1)*72\/(-540).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279214749*i**2 - 5*i - 5618871 wrt i?\nAnswer: -558429498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 2. Let a be (-2)\/10 + (-299)\/5. Let r = -61 - a. Let g be z(r). Solve 3*s + 5 = -s + o, 5*o = g*s + 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -4) + (-1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)**(2\/11)\/(u*u\/(u*u**(1\/3)))**(-13))**30 assuming u is positive.\nAnswer: u**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1 - (38 - 42). Let i(c) be the third derivative of 0 + 0*c + 0*c**4 + 4\/9*c**n - 1\/90*c**5 + 7*c**2. Determine h, given that i(h) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49692544?\nAnswer: 2, 11, 29, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 62*x**3 + x**2 - 1 - 29*x**3 - 34*x**3 - 4*x**2. Determine a(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - b**2 - b + 1. Let k(n) = -2508*n**3 - 12*n**2 - 1224*n + 12. Let r(x) = -12*g(x) + k(x). What is the second derivative of r(t) wrt t?\nAnswer: -14904*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17706 and 7264?\nAnswer: 283296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 7:28 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3032 (base 4) in base 2?\nAnswer: -11001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 165*a**2 - 2*a + 7*a + 328*a**2 + 488*a**2 + 0*a.\nAnswer: 981*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 t when three letters picked without replacement from trrjrrjrrttrj?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 1, m: 1, q: 1, b: 1}. Give prob of sequence aqvb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*g + 28, -g + 4*v + 2 + 18 = 0. Suppose 0 = g*p + 20, 4*f - 7 = 2*p - 7*p. Suppose -w = w - f. Solve 4 = 2*u - w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 27. What is s rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j + 3. Let z be a(2). Suppose q - 3*y = -z*y - 3, 0 = -3*q - 3*y. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10456 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -37*d + 466. Calculate l(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-8)*1\/2. Suppose -226 = 5*l - a*l - v, l + 46 = v. Let f = l - -61. Calculate the remainder when 62 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 4*j**3\/3 - 528*j**2 + 1052*j - 1221. Solve z(h) = 0 for h.\nAnswer: 1, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {j: 5, h: 4, l: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 5. Let o be s(4). Sort o, -4, 5 in descending order.\nAnswer: 5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-52)*((-80582)\/1290 + 55) - 8\/(-5).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1331 divided by 87\nAnswer: -1331\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -495*m**2 + 495*m**2 + 21 - 8*m**3 + 19*m**3 in the form q*m**2 + g + x*m**3 + p*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtrbtgxax. Give prob of sequence attr.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 4 + 10)*(-f + 1 - 1)*(-1 + 2 + 1) to l*f + d and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -7*m - f + 59, -10*m + f = -137 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*k**2 + (-k**2 + 0*k**2 + 2*k**2)*(6 + 0 + 0))*(-2*k**3 + 3*k**3 + 0*k**3).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2754 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:07 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231 - 234. What is the third biggest value in q, -2\/13, -2\/11, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508334 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*x - 19, -b + 4*b = 5*x - 13. Suppose 3*i + g = -0*g + 15, 25 = 5*i + g. Put i, b, 0 in descending order.\nAnswer: i, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 - 2*a + 13. Give s(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -0.2 (c) 4\/5 (d) -2\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (8 - 6)) + (-2 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 1002303?\nAnswer: 1002331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 3:02 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1887 and 62715.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 317999136?\nAnswer: 1589995680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 3*z - 20. Suppose -50 = -12*c + 154. Calculate the remainder when b(9) is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72717.\nAnswer: 3, 24239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/3)\/(-1*(-10)\/1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 14*o**2 - 13*o - 10. Give l(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51163?\nAnswer: 7, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 220 - 372. Let j = l - -221. Let w = 69.000147 - j. What is w rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + sqrt(13)) + -1.\nAnswer: 4*sqrt(13) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 502*q**3 - 46110*q**2 + 1848322*q - 27393368.\nAnswer: -2*(q - 92)*(q - 53)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**4\/18 - 4*p**3\/9 - 4*p**2\/3 + 4*p + 2. Let x(d) be the first derivative of t(d). Factor x(n).\nAnswer: -2*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8733277 is divided by 1645.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/10 + 2)*(-13)\/13\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*g**2 + 5*g - g + 50*g**2 + 0*g to the form t*g + j*g**2 + r and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 8. Let f(m) = m + 17. Let w be f(0). Suppose -5*l - r = -4*l + w, -4*r - 8 = -l. Let q be x(l). What is the highest common divisor of q and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + sqrt(392)\/sqrt(7))\/sqrt(8))**2 + -5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 1\/2*z**4 - 4*z - 2*z**3 - 5*z**2 + 2\/5*z**5 + 9. Factor d(b).\nAnswer: 2*(b - 2)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from {e: 3, u: 7, r: 3, w: 3, p: 1, x: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 41 - 17 = 0. What is the third derivative of -4*w**4 - 1552*w - w**d + 6*w**4 + 182*w**6 + 1518*w wrt w?\nAnswer: 21840*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 19 = 3*h. Let y(l) = l + 16. Let v be y(21). Suppose 5*c = -2*w + v, -c = -5*w - 9 + 34. What is the lowest common multiple of w and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 17153548*g + 73561052247076.\nAnswer: (g - 8576774)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28667.45 centuries in decades?\nAnswer: 286674.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 757 - 753 = 0. Solve 0 = -a*q + 4*b - 0*b - 20, 2*q + 3*b = 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13292634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 34880512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 209\/(-19)*(-10)\/55.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) 0 (c) -0.2 (d) -0.6 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 + z + 1. Let o be r(-1). Suppose -10 = -o*d + 2*d. Solve 0*u - 16 = 4*u, 5 = -3*v - d*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -15028*o**3 + 102*o - 200. Let s be y(2). What is s rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 6.19.\nAnswer: 1.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = w + 17, -w + 0 = -n - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4628 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.1 - 34491.78718437.\nAnswer: -34495.88718437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122 + -129 + 2 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -77*g + 4403. Give k(62).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + 3*u)*(-2 + 1 - 1) + 0 + u + 0 - 4*u + u + 5*u + 2*u + 2 - 2 + 31*u + 19*u + 6*u.\nAnswer: 63*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-24)\/(-12))*1\/26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dd - 9d665?\nAnswer: -9d577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u - 10*u - 1 - 2*u)*(7*u - 4*u - 6*u) - 3*u**2 + 4*u**2 + u**2 to n*u**2 + i + s*u and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 16*j - 14. What is the units digit of q(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 3002.\nAnswer: -8\/1501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/69 and -173\/630?\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95\/497 + 143831\/22365. Let s = 32\/5 - v. Which is the nearest to -3? (a) -3 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5131*q**3 - 5133*q**3 + q**4 + 5*q + 0*q**2 - 2*q**2 - 2 in the form o*q**3 + r*q**4 + s*q + y + k*q**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 767, 1535, 2303?\nAnswer: 3071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1860 divided by 6245\nAnswer: -372\/1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -50*k**2 - 2880*k + 1128. Let y(i) = -10*i**2 - 576*i + 226. Let w(o) = 3*t(o) - 16*y(o). Solve w(j) = 0.\nAnswer: -58, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.4 + 3799404.801?\nAnswer: 3799431.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/11)*r)**(-17))**(-4))**(-39) assuming r is positive.\nAnswer: r**(-34476\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*s + 22 = 0, 5*t = t + 4*s + 4. Suppose -5*o = -t*o - 8. Suppose 2*a = -5*z + 163, -z + 78 = z + o*a. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k + 392 = 4*d, -3*k - 372 = -4*d. Suppose j = 5*r - 207 - d, 124 = 2*r + j. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6*l - 12, -3*m + 1437 = -l. What is the remainder when m is divided by 146?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16238352.\nAnswer: 2, 3, 13, 53, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7256\/3 + -2419. Put v, -2\/7, 1\/3, 0 in increasing order.\nAnswer: v, -2\/7, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -526 not equal to -6437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8974 less than 0.1?\nAnswer: 8974.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 741 - 4?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17347176 and 8940?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1439 (base 10) to base 11.\nAnswer: -1099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2454 - 4?\nAnswer: -2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2706, 4061, -1 in ascending order.\nAnswer: -1, 2706, 4061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 0*f**2 - 1\/4*f**4 + 0*f**3 + 0 - 3\/20*f**5 - f. What is the third derivative of c(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -6831.\nAnswer: -13\/2277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 28041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - z**2 + 27. Let b be q(0). Let o = b - 24. Suppose 8 = 2*u, 2*t + 4*u + 44 = o*t. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(32*(-170)\/6528*(-9)\/205)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12263256, 12263264, 12263284, 12263322, 12263384?\nAnswer: 12263476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(3*2\/(-3)). Solve 4*q - 5*d = -k, -d = -4*q - 2 - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57431, -57435, -57445, -57461?\n\"Answer: -3*m**2 + 5*m - 57433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.32 and 9?\nAnswer: 8.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1525273 divided by 6?\nAnswer: -1525273\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -6. Let t = -16 - -18. Let s be t\/(-12)*(-15)\/(-20). What is the closest to 0 in c, s, 3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**0*f*f)**(-47)\/(f**3\/(f\/f**(-1)))*f**(-5)*f**(-2\/11)*(f**(2\/3)\/f)\/f*(f\/f**(-6))\/f assuming f is positive.\nAnswer: f**(-4703\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 5 = 7. Let w be 76\/(-8)*(4 + b). Let i = w - -38. Solve 5*u = 3*c + 2 - i, 3*c + 11 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d**2. Let h(v) = 42*v**2 - 82*v**2 + 43*v**2. What is u(h(i))?\nAnswer: -63*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9104374.\nAnswer: 2, 4552187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from anvvvnvav?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**4\/3 + 4*v**3 - 8*v**2 + 99*v. Let z be u(5). Solve -x + m - 1 = -z, -x - m - 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(136)*-6)\/sqrt(8).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0.1, 9, 0.01 in descending order.\nAnswer: 17, 9, 0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2173, 2, -3, 0, -107, 3 in increasing order.\nAnswer: -2173, -107, -3, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 751259 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -120500 (base 10) in base 6?\nAnswer: -2325512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-30) - 146\/(-10). Let u = t + -7. Let n = u - -29. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -5*g - 0*i - 2*i, i + 63 = -2*g. Let u = g + 31. Is u not equal to -1\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**5\/20 + 11*q**4\/12 - 5*q**3\/2 + 9*q**2 - 2*q + 1418. Calculate y(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmppc. Give prob of sequence cpp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1014.491 times -3\nAnswer: -3043.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 1278*j**3 + 137379*j**2 - 270936*j + 134832.\nAnswer: 3*(j - 212)**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-10)*v**22\/v*v)\/(v\/v**(-23)*v**(-13)))**(-17\/5) assuming v is positive.\nAnswer: v**(-374\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -9.1. Let m = -17.4 + -0.6. Let s = -23 - m. Which is the nearest to s? (a) -5 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6445662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-268*n**3 - 110*n**3 - 146*n**3)*(0*n + 0 + n + 5) - 2 + 2 - 2*n**4.\nAnswer: -526*n**4 - 2620*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (162\/(-105))\/(8\/30) and 119\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d**3 + 5*d**2 - 10*d - 15. Let s(v) = 11*v**3 + 4*v**2 - 11*v - 16. Let o(q) = -6*l(q) + 5*s(q). Factor o(z).\nAnswer: -5*(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -24*d**2. Let r(i) = -8596*i**2 + 4 + 8602*i**2 - 3. Determine b(r(k)).\nAnswer: -864*k**4 - 288*k**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1104147416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97999 and 81125.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 15*s**3 - 15*s**2 - 29*s + 77. What is the hundreds digit of w(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 5*x**2 - 5*x - 3. Let w be h(6). Suppose -w*f = 4*s - 140, s - 5*s + 132 = f. What is the units digit of (-614)\/(-8) - (-8)\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -5, -21*m = -20*m + 3*s + 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 459 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-46)\/(-4))\/((18\/4)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -17, -0.4, 1\/2 in ascending order.\nAnswer: -17, -3, -0.4, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 575892922 to the nearest integer?\nAnswer: 23998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9004851*r**4 - 12993151 wrt r.\nAnswer: 36019404*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c4 - -73?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -25*b - 1. Let p(x) = -43*x - 1. Let g(u) = 3*p(u) - 4*w(u). Determine g(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -109.5.\nAnswer: 21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.234 + -0.034. Let t = -2\/1029 + 590\/1029. Which is the closest to 0.2? (a) -2\/9 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*z + 50, 2*z - 4*z - 3*i = -5. Let b be 52\/(-80) - (-4)\/z. Is 0 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 7*r**4\/3 + 18273*r**3 + 727184*r**2\/3 + 286668*r + 62544 = 0.\nAnswer: -7818, -12, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Let y = 6 - v. Let u(c) = -c**2 - 7*c + 2. Let f be u(-2). Solve y*b - 2*i = f, -i = -4*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 k when four letters picked without replacement from tvtwwvktvtkwwk.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2. Let v(n) = n**3 + 5*n**2 + 2*n - 8. Let k be v(-4). Let c(z) be the first derivative of k*z - 2\/3*z**3 + 2 + 0*z**2. Determine s(c(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4161*i - i**2 + i**3 + i**2.\nAnswer: i**3 - 4161*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 11*b + 11. Let l be s(10). Let a(v) = -4*v**2 - 5 + 2 + 3*v**2 + v - l. Give a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, u: 7, b: 7}. Give prob of picking 1 u and 1 b.\nAnswer: 49\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*l - 73*l - 105*l - 99*l + 4015.\nAnswer: l + 4015","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -42*v - 117. Let q(x) = -116*x - 350. Determine 11*o(l) - 4*q(l).\nAnswer: 2*l + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 32 = -5*u + u, -5*u - 4*k = -40. Suppose u = -4*t - 0. Let b be 2 - ((-1)\/1 - t). Solve b - 11 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6105?\nAnswer: 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153 or 745?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**3 - 1225*u**2 - 26405*u - 25175 = 0. Calculate u.\nAnswer: -19, -1, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, n: 1, e: 1, l: 5, q: 4, f: 4}. Give prob of sequence fefl.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.4, -1\/2, 1642 in descending order.\nAnswer: 1642, 0.4, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*y**2 - 178*c**2 - 218*c*y**2 - 1 with respect to y.\nAnswer: 2*c**2*y - 436*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-187 - -159) + 434\/16?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 16. Let j(t) = -3*t + 11. Determine 5*d(w) + 7*j(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(4 - 6) - -33. Let f be 22\/w - 7\/(-3). Let o = 32 + -22. Solve -a + f*a + o = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37252622 divided by 12226?\nAnswer: 3047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151654354 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssrj when four letters picked without replacement from {s: 3, k: 1, j: 5, r: 1, w: 3}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3270*i = 3272*i - 10. Let z(b) = -b**2 + 6*b - 8. What is z(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3103 + 3100. What is the biggest value in q, 2\/13, -0.23, -6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36430982*u + 51935009?\nAnswer: -36430982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x + 76*x = -489 - 263 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w + 167011 - 760295 - 476264 = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742201?\nAnswer: 742201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -3*v**2\/2 - 52. Let d(g) = -2*g - 12. Let r(i) = 1. Let b(m) = -d(m) - 12*r(m). Calculate -3*a(q) - 4*b(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65101883 and 15384.\nAnswer: 1562445192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1465*g + 14 - 3 - 5.\nAnswer: -1465*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*z - 9*z. Does 16 divide (-152)\/(-6) + z - (-7)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 1, p: 2, d: 1, h: 2, z: 1}. What is prob of sequence hppq?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-5)\/((-20)\/(-8))*144\/72.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8c9 (base 14) to base 11\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 34.\nAnswer: -4, -2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 0. Suppose 9 = u + 2*y + 2, 5*u + 4*y - 65 = 0. Suppose 4*s + 13 = -3*a, 2*s - 3*a - u = 7*s. Put s, k, -1 in decreasing order.\nAnswer: -1, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1352205.\nAnswer: -1\/1352205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 634, 630, 624, 616, 606, 594, 580?\n\"Answer: -j**2 - j + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 12*c - 26. Let j be l(4). Find the common denominator of 0 + -2 + (-7)\/j and 61\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**5 - 7210*b**4 + 3*b**3 + 867358*b**2 wrt b.\nAnswer: -180*b**2 - 173040*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3242\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.56 - 64.56. Let t = -64.34 - u. What is t rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 20*n + 5*d - 30 = 0, 5*d = 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 (base 7) in base 2?\nAnswer: -1011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(2))\/sqrt(8) + sqrt(3)*1 + 0.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, f: 1, b: 2, c: 1}. What is prob of picking 1 c and 1 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -149799*c - 8. Is o(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15854\/(-14696658))\/(2\/12)?\nAnswer: -2\/309","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1467 is divided by 482.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -3*h**4 - h**3\/6 - 3*h**2. Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, 252, 639, 1208, 1965?\n\"Answer: o**3 + 82*o**2 - 42*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6413821\/810 + 71266\/9. Calculate the common denominator of -107\/30 and t.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - n + 861, -5*h = -5*n - 547 - 523. Is h a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4841496?\nAnswer: 2, 3, 11, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-46)\/(-8) - (-12)\/(-16). Solve q*s - s - 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2. Let k(z) be the second derivative of -z**4\/4 + 6*z. What is u(k(f))?\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34350 - 34350.2. Which is the closest to -2\/3? (a) 2\/105 (b) -2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Let k = -2.4 + 0.2. Let d = k + 7.2. What is the second biggest value in t, 5\/2, d?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 9:39 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38718 and 708.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66926 is divided by 2557.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 4\/7 (b) -2 (c) -12 (d) 259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {l: 12, k: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 1042, 2348, 4186, 6562, 9482?\nAnswer: 12952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 728 = 5*j - 1397. Let k = j + -234. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -127, -331, -617, -985, -1435?\nAnswer: -1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**2 + 21*u. Let b(g) = g**2 - 10*g - 28. Let h be b(12). Suppose -c + 7 = -14. Let q(w) = -w**2 + 4*w. Calculate c*q(k) + h*n(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.038353 to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 402.2 + -405.2. Put y, 42, -0.4, -1, -0.3 in decreasing order.\nAnswer: 42, -0.3, -0.4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 + 75005*q**3 - 375075000*q**2 + 625375000000*q - 625000000000.\nAnswer: -5*(q - 5000)**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -c81 (base 13) in base 15?\nAnswer: -973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16166 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b9c28 (base 15) to base 11.\nAnswer: -3732a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 16. Let s be (2 + 2)\/(0 + 2). Suppose p = a - 1 - s. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 o when three letters picked without replacement from pgpopzxpg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 977041591 to the power of 1\/2, to the nearest integer?\nAnswer: 31258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -457040, 3 in ascending order.\nAnswer: -457040, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 2615 + -2344. Calculate the remainder when v is divided by 64.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096012 is divided by 857.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1659*q - 2. Is u(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*g)*(-242 - 492 - g**2 + 150).\nAnswer: -2*g**3 - 1168*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 166448.1 and -49973?\nAnswer: 216421.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26786.883ns to minutes.\nAnswer: 0.00000044644805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 5*z - 5*z + 9 - 194.\nAnswer: 2*z - 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 87, 125, 143, 135, 95, 17, -105?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6 - 6) + 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*h + 36, 20 = 5*w + h - 6. Let z be ((-1725)\/1305 - (-2)\/w) + 1. Are 0 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172*-3\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 662577920 a multiple of 1691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3\/13, 2\/11, -1\/9, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27094 - j - 566*j**2 + 13550 + 13547 to the form f*j**2 + y + h*j and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-5)*(-545)\/(-218). Solve 0 = -y*o - 20 - 36 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2175.91 + -2160. Let i = 16 - z. Let m = i + -0.99. What is m rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*(-3 - (-35)\/10) + -7. Put -2\/17, h, 4, 0.13 in ascending order.\nAnswer: h, -2\/17, 0.13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3070 and 3035.5365?\nAnswer: 6105.5365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**3 - 7 + 6 + 2*z**3 - 1 + z**2 to the form l*z**2 + c*z + g + k*z**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*q**3\/9 - 928*q**2\/9 + 246*q + 36 = 0 for q.\nAnswer: -9, -9\/65, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*n*x - 26013539*n - 5857446*x wrt x?\nAnswer: 5*n - 5857446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -101, -2, -18 in descending order.\nAnswer: -1, -2, -4, -18, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2311 + -30?\nAnswer: -2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((-2)\/1 + -1). Let d be (1 - (v + 5)) + 0. What are the prime factors of (-1)\/(d\/2) - -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/(-4)*(2 + -4). Let g = z - -112. Suppose -72 = -2*p + 4*a, 3*a - 58 = -3*p + g. Calculate the highest common factor of 28 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 15.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2123717654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8 + -1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/4 - 3357*y**2\/2 - 3796443*y\/4 - 11148921.\nAnswer: -3*(y + 12)*(y + 1113)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 3 - 3)*(s**4 - 7*s**2 + 7*s**2) to x*s**4 + i*s**3 + d + g*s + v*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**4 + 14*d**2 - 1525*d?\nAnswer: -24*d**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + (-4*sqrt(252) - sqrt(252)))*-5 + (sqrt(252) - (sqrt(252) + -4))*3)**2*4.\nAnswer: 11520*sqrt(7) + 403776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423 a factor of 217780603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8203469790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8822066ml in litres?\nAnswer: 0.0008822066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 406424\/5721 at most 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.162163008697 - 1202.837842981303. Let a = x - -1203. What is a rounded to 7 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 36. Let g be n\/3 - (3 - -1). Suppose g = -4*q - l - 0*l + 19, 14 = 5*q - 2*l. Solve 5*w + 4*r = -23, 4*w - q*r + 0 = -4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 6*m + 8. Let r(w) = -w**2 - 2*w + 3. Let g(v) = 4*l(v) - 11*r(v). List the prime factors of g(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l - 3. Let g be t(4). Let c be 5 + (-21)\/(-12) + 46\/(-8). Calculate the highest common factor of c and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/5, -2\/8488923 in descending order.\nAnswer: 1\/5, -2\/8488923, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(128)*-2 - sqrt(128)) + 2 + (3*-2*sqrt(128) - (-5 + -1*sqrt(128))))**2*4.\nAnswer: -3072*sqrt(2) + 32912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1691.12 - -24\nAnswer: -1667.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + 3. What is the highest common factor of 33 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = -2*l + 101 - 59, -a - 5*l + 35 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 0 (b) 363 (c) -5\/46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (13 + -1 - (-72 + 77)) + 5\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/14750061 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*p**2 + 3 - p**2 - 88*p**2 - 3 in the form w + j*p**2 + v*p and give j.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/31))\/o)\/o)**(-35) assuming o is positive.\nAnswer: o**(1155\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5955956 to two decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18532.000049816 - 18532. What is a rounded to six dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 532148, 532161, 532192, 532247, 532332?\n\"Answer: p**3 + 3*p**2 - 3*p + 532147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a7a5 (base 16) in base 12?\nAnswer: 20a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2 + sqrt(99))*3 - (-2*sqrt(99)*-6 + sqrt(99))))**2*6.\nAnswer: 54000*sqrt(11) + 1490400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -3, 3, 3\/8, 13 in ascending order.\nAnswer: -3, 1\/4, 3\/8, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 27 = 11*l - 54 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1425 + 1426. Put -561, 0.3, -0.5, z in decreasing order.\nAnswer: z, 0.3, -0.5, -561","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 2 + -2)*-2*-2)**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.44 + -0.04. Let s = -285997\/3 - -95332. Which is the third biggest value? (a) 0.1 (b) n (c) s (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 1\/12*p**4 + 0*p**3 + 0*p + 0 - 148*p**2. Let y(d) = d**2. Give v(y(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 2, y: 1, g: 2, m: 1, l: 1}. Give prob of sequence gl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 655*l**5 + 468*l**2.\nAnswer: 39300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6819 - -109169\/16. What is the common denominator of o and 33\/6922?\nAnswer: 55376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101001101100101101 (base 2) to base 15.\nAnswer: dae40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 1637000 = 23*q. What is q rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 13 - 3. Let v be (-5)\/(-2)*f\/10. Let r be (0\/1386)\/((-6)\/(-2)). Solve 2*a = 3*p + v, r*a = -2*p + a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 4*d**2 + 2*d**2)*(5 + 2*d - 5)*(4 + d - 4 + (-2*d - 4 + 4)*(-1 - 2 + 2)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -21.971. Let m = 0.04 - w. What is m rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 58570*v + 10. Let c = -13 - -20. Let j be g(c). Round j to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 2*t + 2*t - 11, 5*d + 4*t = 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - (1 + 0 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-8) + -2 + 10511*4\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25439 - t + 50878 + 14171*t**2 - 25439 + 48695*t**2.\nAnswer: 62866*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7853.\nAnswer: 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*k**2 - 763*k - 762*k + 1525*k.\nAnswer: 129*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from werlfrvvflfr. What is prob of sequence fler?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15316 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: Let b = -8\/3 + 125\/6. Let w = b + -259\/15. Find the common denominator of w and 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 0 + -2 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus -26.35538?\nAnswer: -16.35538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - -51) + 1 + -3 + 2. Suppose 74*h + p = 92*h. Solve 9 = -3*z + 3*r, z + h*r + 12 - 1 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**5\/35 - 3*p**4\/7 - 18*p**3\/7 - 54*p**2\/7 - 81*p\/7 + 5. Let n(i) = 0. What is i?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 58972697?\nAnswer: 58972700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4529.871 months?\nAnswer: 0.37748925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Let a(n) = n**3 + 4*n - 11*n**2 + 16*n**2 - 3 - 11*n**2. Determine a(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e01 (base 16) to base 8.\nAnswer: -17001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 275*i**3 + 2*i + 758 with respect to i.\nAnswer: 825*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2 (b) 1825 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - 7.93763.\nAnswer: -7.86763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304577 is divided by 46.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i - 2. Let l be q(-2). Suppose -4*x = -4*c + 24, -c - 2*c + 2*x + 20 = l. Suppose 1 = 3*m - c. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*j = -136 - 139, 5*b = 2*j - 254. Is 0 + (-3 - 0) - b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2829 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: Which is the nearest to -1? (a) 33 (b) 0.4 (c) 5771\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19753 divided by 7630.\nAnswer: -19753\/7630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*k + 0*k + 3*k)*(1 - 4 + 2) + 2*k + 2 - 2 + 2 - k - 2 + (0*k - k - k)*(-3 + 2 - 1) - 3*k + 0*k + 2*k + 0*k + k + k + (-4*k + 0*k + 5*k)*(-2 + 1 + 5).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u. Let n(l) be the second derivative of l**4\/3 - l + 21. What is n(f(m))?\nAnswer: 484*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12.36 or 52\/9?\nAnswer: 12.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 1, f: 1, s: 2, u: 2}. Give prob of picking 1 s, 1 f, and 1 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3228213, -3228212, -3228211, -3228210, -3228209, -3228208?\nAnswer: -3228207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 1\/8, 0.5, 0.2, -4\/7, 333, 0.0772?\nAnswer: 0.0772","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 8*m - 11. Let i be t(-9). Put -1, i, 4 in ascending order.\nAnswer: i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1273 + -509. Suppose -5*b - y = -2*y - 941, 4*b = -2*y + c. Calculate the greatest common divisor of 21 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(sqrt(72) + 0 + -1 - (sqrt(72) - (sqrt(72) - -6*2*sqrt(72))) - (0 + -1 + sqrt(72)*1))**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 9:52 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(1 - (-5)\/15). Suppose 6*d + i*d = 680. What is the greatest common divisor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/550 and 49\/54.\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 7 - 5)*(-3*p + 3*p - 3*p)*(-4*p + 4*p - 2*p) to m*p + y + g*p**2 and give g.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4201, 4228, 4255, 4282?\nAnswer: 4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7ba (base 16) to base 7\nAnswer: -5524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 2985 + 3*d - 6*d.\nAnswer: -2*d + 2985","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 37*y - 122. Let u(v) = 77*v - 249. Let r(d) = -13*a(d) + 6*u(d). Determine r(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/502 - 9164\/1255. Calculate the common denominator of c and (906\/20)\/(-3) + 12\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*m = 2*m + 796, 406 = 2*t - 4*m. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.932 + 6. Let j = -25.3 - -25.465. Let x = j - d. What is x rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 75 = -21. Factor -v*m**2 + 2*m**3 + 80*m + 2*m**3 - 2*m**3 + 2*m**3 - 64.\nAnswer: 4*(m - 4)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-312)\/(-84))\/(5*2\/9170)?\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 23. Let w = 1\/43 + -93\/301. Which is the nearest to v? (a) w (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1411*k**2*y**2 - k*y**2 + y**2 - 235989*y + 1 with respect to k.\nAnswer: -2822*k*y**2 - y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-171)\/(-133))*-21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0.08 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2.5. Let n = -1 - 3. Let z = 13\/4 + -4. Put z, n, r in ascending order.\nAnswer: n, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -821 = -s - 5*p, 5*s - 4*p = -0*s + 3960. List the prime factors of (s\/(-6))\/(3\/(-9)).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b - 228 = -30*b. What is the greatest common factor of b and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gywlq. What is prob of sequence wqg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/2 + 60\/8*8. What is the greatest common factor of q and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6 - (-6 - -7)) + (-2 - 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -85*h**2 + 155*h**2 - 69*h**2. Let x(r) = 39*r. Calculate x(n(o)).\nAnswer: 39*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -122, 22, 252, 562, 946, 1398, 1912?\n\"Answer: -j**3 + 49*j**2 + 4*j - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2*w + 0 + 10 = 0, 0 = 4*r - 4*w + 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16152 (b) 9\/4 (c) 1\/9 (d) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 646655934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1168, 2337, 3510, 4687, 5868, 7053, 8242?\nAnswer: 9435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(2 - z - 2)*(z - 3*z + z + (0 - 3 + 6)*(0*z - 3*z + 2*z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + c?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(700) + 2 + sqrt(700))**2.\nAnswer: 40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/8*24\/(-14))\/((-8)\/512*6)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1329 (b) 0.2 (c) -2 (d) -0.4 (e) -1\/12 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.3 - -44.572. Let q = 0.028 + u. Let c = -2 + q. What is the second smallest value in c, 2, -2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*o - 77*o + 350*o - 75*o - 53*o - 75*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-17))\/(u*u\/u**(-10)) assuming u is positive.\nAnswer: u**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 26.1. Let n = 3.1 - 0.1. Let u = n + -1. What is the second smallest value in -0.4, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 7760.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1710 + -3423\/2. Which is the fourth biggest value? (a) 4 (b) r (c) 6.2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 5*v**2 - 2*v - 7. Let a be q(-5). Let l(p) = 51*p + 615. Let b be l(-12). Factor a*w**b + w**2 + 64*w**5 - 3*w**2 + 2*w**4 - 66*w**5 - w**3.\nAnswer: -2*w**2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30195 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68.69 + 69. What is i rounded to 2 dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17000628 and 8028.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 - (-32)\/(-5). Let k(f) = -f**2 + 5*f + 31. Let g be k(9). Let z = g - t. Solve -z + 11 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 40*n = 93. Factor 0 + 1\/11*d**n + 0*d**2 + 0*d - 1\/11*d**5 + 0*d**4.\nAnswer: -d**3*(d - 1)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - 33 - -50 - -34) + (-8 - (1 + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/14 and 612\/(-81) + 2\/2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, d: 4}. What is prob of sequence ccd?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150147437 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -1\/48*l**4 + 1\/9*l**3 + 0 - 14*l**2 - 1\/360*l**5 + 0*l. Determine p, given that s(p) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(3*(-10)\/15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*o + 45, 5*o - 30 = -0*n + n. Let j = -3 - n. Determine p so that -20*p**3 - 6*p**j + 23*p**3 - 3*p + 3 + 3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, i: 10, c: 2}. What is prob of picking 4 i?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (160\/12)\/(((-20)\/(-54))\/((-28)\/(-21)))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s**3 + s**2 - s - 1. Let w be u(-2). Let r be 0 - 60\/(-48) - (-177)\/(-4). Let v = w - r. Which is the nearest to 0? (a) v (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51314, 102670, 154028, 205388, 256750?\n\"Answer: c**2 + 51353*c - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five halves of a century?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 3*c**2\/2 + 6*c - 951. Let t = 11 - 5. What is p(t)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - -61) + 1 + -1 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6230 + 6220. Which is the closest to -4? (a) 0 (b) x (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -1994\nAnswer: -1972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2499 is divided by 66.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllxlxlllllllxlll. What is prob of picking 1 l and 2 x?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -11. Suppose 2*y + 10 - 12 = 0. Put y, 4, -2\/11, w in decreasing order.\nAnswer: 4, y, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 4 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -15262\nAnswer: 76310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xodldttdtxlox. What is prob of picking 1 o, 1 x, and 1 t?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4669 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: Let b = 2213 - 2032. Let a = -179.365 - 2.625. Let w = b + a. Round w to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - t**2 - t - t**4 + 4*t - 6*t in the form i*t**3 + a*t + p*t**4 + v + r*t**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -468659056015\nAnswer: 468659056015.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23317 (base 9) to base 8\nAnswer: 36320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 - 0.22. Let h = -0.05 + l. Let i be ((-12)\/(-8))\/(1\/(-2)). What is the nearest to 4 in 1\/4, i, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -1. Suppose 2*n = 2*w - 3 - 19, 3*n + 43 = 4*w. Let b be -4*(-5)\/w + (-2)\/(-2). Put l, 0.1, b in increasing order.\nAnswer: l, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**2\/13 - 50*i\/13 + 16\/13.\nAnswer: 2*(i - 8)*(3*i - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**2\/4 + 21*x + 135 = 0.\nAnswer: -18, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-191 - -146) + (-2 - -2 - -22)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 9*s**2 - 4*s - 5. Let d = 0 - 5. Let t = d + -4. Is y(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3485, -3458, -3415, -3350, -3257?\nAnswer: -3130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829166 greater than 7829279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 71, 105?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 8*x**2 - x + 11. Let a be v(8). Suppose -k - 6 = -a*k. Let b = 11 + k. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153411 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 8. List the prime factors of l(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.61*-3882921\nAnswer: 14017344.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4732\/(-10816)*(246\/(-42) - -3).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/135 - 12\/(-90))*-3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3335882 by 3335882.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 101693 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7535 and 4565.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 10 + (5 - 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-104)\/(-32)))\/(-1)*4\/(112\/455).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -257 (b) 0 (c) 2\/25 (d) 2\/13 (e) -55 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/33))\/((((h\/((h*h**(2\/25)*h*h)\/h))\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(4141\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-16)\/(-5)*(-6)\/(18\/(-195))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooopoopooppoop. What is prob of picking 1 p and 2 o?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - 2. Let o(h) be the third derivative of -7*h**4\/12 + h**3\/6 - h**2. Is o(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107\/116 + -5\/29. Let i = -91 + 458\/5. Let d = -2698\/6477 - 540\/2159. Put 0.3, j, i, d in decreasing order.\nAnswer: j, i, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 69 + z + 197 - 69.\nAnswer: z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, 47, 72, 97?\n\"Answer: 25*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2515*(-126)\/(-105)*1\/3. Suppose a = 2*x - 5*f, -4 = f - 0. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2551?\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfhf when four letters picked without replacement from bbbhfyhfhf.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336149233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12294354881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.940102 years to decades.\nAnswer: 0.9940102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30469740 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*o - 1. Let c = 16 - 5. What is the lowest common multiple of o and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76938 - -112537. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30*(-763)\/(-2180))\/((-3)\/2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 x, and 1 r when three letters picked without replacement from {v: 1, p: 1, e: 1, x: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1101*d - 59. Is k(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -371, -3, 9 in ascending order.\nAnswer: -371, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3685?\nAnswer: 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61946 + 33219. Let c = -245165 + y. What is c rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4762 minus -4?\nAnswer: -4758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 1, 0.842, -0.3 in ascending order.\nAnswer: -3\/2, -0.3, 0.842, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -370, -2167, -7080, -16675, -32518, -56175, -89212, -133195?\n\"Answer: -261*i**3 + 8*i**2 + 6*i - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/7)*b)\/(b*(b*((b*b\/(b**(-1)\/b))\/b)\/b)\/b))\/(b**(-2\/7))**42 assuming b is positive.\nAnswer: b**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -27*b. Suppose -4*g + 3 - 7 = 0. Let x be m(g). Suppose -3*c - 6*z + 3*z = -x, -4*z = 2*c - 24. Calculate the lowest common multiple of c and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 600*h**2 + 30000*h + 500000.\nAnswer: 4*(h + 50)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + l**2 - 4*l**2)*(-13 - 30 + 25) + 0*l + 0*l + 2*l**2.\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, -2\/9, -1\/4 in decreasing order.\nAnswer: 10, 0, -2\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 8 = 3*v, -203*v - 6 = -201*v + 2*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*q - 10 = -65. Let c(n) = 9*n**3 - 2*n**2 + 3*n - 3. Calculate c(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725601?\nAnswer: 3, 241867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, -2, 826 in decreasing order.\nAnswer: 826, 9, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*f - 2*g, -5*f = 2*g - 55 + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 v when three letters picked without replacement from {t: 11, l: 4, v: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**7\/1260 + s**6\/80 + s**5\/15 + s**4\/9 - 16*s**2 - 54. Let h(k) be the second derivative of o(k). Factor h(l).\nAnswer: l*(l + 1)*(l + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022122 - -20?\nAnswer: -1022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*z - 44 - 140*z - 82 + 22 wrt z.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -55*l**2 + 987*l + 3363. What is c(21)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - sqrt(432)*-2)**2 - (-5 + sqrt(3)*-1 - sqrt(3))**2)*-3.\nAnswer: -11553 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (7 + -2 - (93 + -90) - (3 - 3))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3282 divide 67552448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 288*u + 2. Let z be x(2). Let i = -205511 + 205545. What is the highest common factor of z and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 8*y**2 - 46*y + 23. Let x be v(-12). Let d be 1 + 1*-5 + -1. Put 4, d, x in decreasing order.\nAnswer: 4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k + 172 = -12*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m = -d + 1277, 0 = -m - 3*d + 656. Is 637 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27723671 less than -27723673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-19)\/(s*s*s\/(s*s**(-5))*s*s))\/(s**(-1\/31))**(1\/17) assuming s is positive.\nAnswer: s**(-14755\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -6\/272903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**26\/(i**(-1\/22)*i))\/((i*(i**8*i)\/i)\/(i\/((i*(i*i**(-9\/7))\/i)\/i))))**7 assuming i is positive.\nAnswer: i**(2823\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1985*z**4 + z**3 + z**2 + 140*z - 3 wrt z?\nAnswer: -47640*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(256) + sqrt(256))\/(sqrt(32)\/sqrt(4)*-5) + (sqrt(240)\/(-4*sqrt(12)))\/(-1*(sqrt(10) + sqrt(360))).\nAnswer: 341*sqrt(2)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqubqbquuu. Give prob of sequence bb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10110110111101 (base 2) to base 6\nAnswer: -130113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + (-50 + 46 - (5 + 4)) + -10.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 5*b - 51 = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 706211.849918 - 706211. Let k = -0.85 + v. Round k to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*w - m + 48, 12 = 4*m. Which is the nearest to -0.1? (a) -1\/9 (b) 1\/4 (c) w (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 110, 105, 94, 77, 54, 25?\n\"Answer: -3*t**2 + 4*t + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 50. Solve -27*b**5 - 18*b**4 + 9*b**4 + 34*b**3 - 24*b - 12 + 18*b**3 - b**l + 21*b**2 = 0 for b.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.84 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 9*v + 6. Let k be w(11). Which is greater: k or -61\/4?\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5c09 (base 14) to base 9\nAnswer: 24047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 - 0.07. Let s = -8\/21 + 2\/21. Is g greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/(-6))\/((-4)\/6). Suppose -3*v + 1 + j = 0. Solve 3*u + 4*t = 4, v*u - 7 + 4 = -3*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 9 = -4*t + 2*i, -2*i + 5 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + 0.26. Let s = -409 + -46. Let t = -468 - s. Which is the smallest value? (a) t (b) -1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.606 + -0.094. Let i = j - -4. Let s = 199\/198 - 27\/22. Put i, -4, s in descending order.\nAnswer: i, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33833*p + 30312*p - 60306*p + p**2.\nAnswer: p**2 + 3839*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-30)\/(-28))*3. Let l(f) = f**3 + f**2 - f - 2. Let s be l(0). Let u be 0\/((-6)\/s - 1). Solve 4*m = 2*g + y, u*g + 28 = -5*g + 3*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, 69, 323, 833, 1689, 2981, 4799?\n\"Answer: 15*x**3 - 7*x**2 + 4*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 141, 564, 1297, 2364, 3789, 5596, 7809?\n\"Answer: 4*l**3 + 131*l**2 + 2*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 22*a**2 + 115*a + 120. Calculate the lowest common multiple of 15 and v(15).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 + 129. Which is the fourth smallest value? (a) -0.2 (b) 6\/17 (c) t (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -697972 and 12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1428.39 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (9 - 8 - 4) + -15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406528 and 19850?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 7 (c) 1179\/4 (d) 2\/51 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 9*m + 12. Let a be s(8). Let q be (12\/(-3))\/a*-3. Solve -v + 2*v = -q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + c**2 + 7. Let q(f) = -169*f + 848. Let s be q(5). Let o(w) = -w**2 - 4. What is s*l(g) + 5*o(g)?\nAnswer: 3*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvdvddvvv. Give prob of picking 1 d and 1 v.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000507162 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, v: 4, p: 5}. What is prob of sequence pv?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9090951 nanometers in micrometers?\nAnswer: 0.0009090951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8.4388+-54800.37\nAnswer: -54791.9312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + (-5*sqrt(459)*-2)\/(sqrt(108) + sqrt(30)\/(-1*sqrt(10))) + -3)**2.\nAnswer: -48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32657750 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m. Let r(f) = f**3 + 9*f**2 + 12*f + 9. Let y be r(-9). Let c = 103 + y. Let v(n) = -c*n**2 + 13*n**2 - 8*n**2. What is q(v(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 - 8*c - 2. Let l(n) = 27*n**2 + 44*n + 11. Let w(o) = 11*i(o) + 2*l(o). Let g(m) = -4034*m**2. Determine w(g(s)).\nAnswer: -16273156*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 131, 4, 2297, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 626023 at least 2504095\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffpfffffffpp. What is prob of picking 4 f?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/6)*b*b**(-5\/2)\/b*b assuming b is positive.\nAnswer: b**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2214.117 to the nearest 10.\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71366676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 + 3 + 1 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(sqrt(30)\/(5*2*sqrt(6)) - -3*(sqrt(5) + 0)*2)**2*-5.\nAnswer: 18609\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 298\/35 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -1 - (-9)\/(-9). Suppose v*t - 5*q + 12 = -2*t, t + 3*q = 16. Let r = -18 - -40. Calculate the least common multiple of r and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 349, 8\/3, -2\/13, -0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 5*p**2 + 1. Let t be a(5). Let g(q) = -2*q - 3. Let f(v) = -61*v + 12. Let d(c) = -f(c) - 3*g(c). Does 8 divide d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 202, 335?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**21\/v*v)**(2\/87))**(2\/21))**17 assuming v is positive.\nAnswer: v**(68\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -386306.\nAnswer: -1545224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198) + -1*sqrt(198))*-5)\/sqrt(9))\/(sqrt(12)\/(3*sqrt(6)*6 - sqrt(6))) + 0 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-6) + 66\/(-124). Let k = -406\/93 - i. What is the common denominator of ((-717)\/7170)\/(4\/(-345)) and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (((sqrt(2) + sqrt(2)*5*-2 - sqrt(2)) + -3 + sqrt(98))*2)**2)*-2.\nAnswer: -222 - 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-20)*-2)\/(15\/(-10)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, c: 2, p: 11}. What is prob of picking 1 i and 1 p?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -869 divided by 1\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-341)\/((-2 + 3)*6). Let m = 57 + s. Let h = 0 - 0. Is m > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 3*g - 1. Suppose 2*r + 12 = -r. Let p be l(r). Suppose 10 = 4*k - 9*k. Which is the smallest value? (a) p (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**39\/(s**3\/s**1) assuming s is positive.\nAnswer: s**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 14 = -5*x + 8, 3*x = v - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*a = -0 - 7, -4*r + 26 = -3*a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t. Suppose 60*x - 146370 = -59*x. Suppose g = t, -2*g + x = 4*s - 882. What is the highest common factor of s and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-5)*37)\/3. Suppose -8*d - u = -229. What is the highest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/88902 and 197\/10890?\nAnswer: 4889610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*d**2 - 33*d**2 + 66*d**2.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*c + 66*c = 12. Let k be 10 + (5 - c) + -3. Let z be (-30)\/8*(-48)\/9. Calculate the greatest common divisor of k and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12368 and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-30))\/(91\/273 + 3\/450*-62)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -170 + 5*t**2 - 10 - 150 + 325*t = 0?\nAnswer: -66, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d + 370. Let u = -123 + d. What is u rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 + -1 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2820 divided by -564?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + 206656?\nAnswer: 210004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.341277 to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 2 + (-8 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -1 (c) 90 (d) 2\/7 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6190 by -100.\nAnswer: -619\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 6*i - 10. Determine k(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-2)*8\/(-12). Let z(g) = -5*g - 1. Let w(a) = a**2 + 6*a + 1. What is d*w(n) - 4*z(n)?\nAnswer: -3*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/8 - 10\/12. What is the biggest value in v, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 100?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -96, -267, -598, -1143?\n\"Answer: -9*v**3 + v**2 - 5*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - (0 - 1). Let m = -3.1 + 3. Suppose -4*n + 12 = -4*s, -5*s + 14 = -9*s + 5*n. What is the nearest to m in h, s, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -149 + -145?\nAnswer: -28e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -343 + -12?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*s + 512 = 308, 3*u - 197 = 4*s. Calculate the greatest common divisor of 4785 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 13. What is the tens digit of (3 - (-18 + m)) + (-2 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljlppjjl. What is prob of picking 1 p and 2 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 683206 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/1275 and 52\/1690803.\nAnswer: 42270075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55220941*w - 26 = 17*n - 55220937*w, -4*w + 10 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k*k\/(k*(k*k*k\/(k**(-4)*k*k)*k)\/k*k*k))\/k))\/(k*k*(k*k**0*k)\/k))\/(k**(2\/17)*(k**(-1)\/k)\/k) assuming k is positive.\nAnswer: k**(151\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3))\/(y\/y**(-5\/6))*(y**(-3\/4)*y*y*y)\/y*y**(2\/25) assuming y is positive.\nAnswer: y**(1049\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/((-3)\/6 - 0). Suppose i + i - w = 0. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**4 + 4*w**3 + 13*w**2 - 40. Let q(x) = 2*x**4 - 11*x**3 - 27*x**2 + 6*x + 82. Let b(a) = -5*i(a) - 2*q(a). Factor b(f).\nAnswer: (f - 2)**2*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -17*l**2\/2 + 2*l + 125. Let q(n) = 2*n. Determine q(p(y)).\nAnswer: -34*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**5\/20 + 7*w**4\/12 - w**3\/3 + w**2\/2 + 3*w - 5. Let u(z) be the first derivative of i(z). List the prime factors of u(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10*(-1 + 6). Suppose 4*j + 157 = -4*t + 1085, 0 = -2*j. Let a(b) = 232*b - t*b + m*b**2. Let d(c) = 2*c**2. Determine a(d(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 221 + 1508. What is the highest common factor of 65 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**4 + 170*o**2 + 481.\nAnswer: -8*o**3 + 340*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - p. Let m(b) = -5*b**2 - 10. Let g(r) = -m(r) - 4*y(r). Let a be g(-4). Suppose 7*d - a*d + 252 = 0. Is 28 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -46.4. Let i = -0.4 - n. Let u = i + 5.6. Which is the smallest value? (a) 0.05 (b) -1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/213, -9\/13, 2?\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 52*k - 11934. Suppose 9*n + 4*n = k. Solve 5 = -3*v + n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425790?\nAnswer: 2, 3, 5, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26982683, -53965369, -80948055, -107930741?\n\"Answer: -26982686*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + ((-4)\/(-10))\/(-1). Let w = 22.7 - 20.95. Let r = -2.25 + w. Which is the third smallest value? (a) r (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*h + 66*h = -12. Solve g + h*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:18 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Let k(q) = -q**2 + 3*q - 1. What is -5*i(z) - k(z)?\nAnswer: z**2 - 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by 5.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2679 divided by 4\nAnswer: -2679\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*a**2 + 15 - 15)*(13 - 7 + 1) to m*a + u*a**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00909838401 to six dps.\nAnswer: 0.009098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-5)\/(-75) + 62602\/(-5). Let c be v\/(-260) + 2\/(-13). Let n = -44 + c. Solve -2*z + n*g = -12, -2*z + g = -0*g - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 28, 11, -28, -95, -196, -337, -524?\n\"Answer: -h**3 - 2*h**2 + 12*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 587 + -15. Let x = v + -185. List the prime factors of x.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(47458 - 484*p - 47458).\nAnswer: -968*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 213 and 0.1?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + 7*i**2 - 7*i - 6. Let s be p(-4). Suppose -s*u - 3 = 3*x - 2*u, -5*u = 15. Let d = -4 + 1. Sort 5, x, d, 7 in decreasing order.\nAnswer: 7, 5, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858047133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 99 times 8\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9932 is divided by 900.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**8\/6720 - m**7\/504 - 7*m**6\/720 - m**5\/30 - m**4 + 3*m**2. Let s(a) be the second derivative of g(a). Calculate s(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 + -1)\/10)\/(37\/(-1924)).\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, b: 3}. What is prob of picking 2 b and 2 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/15 - -4\/45. Let l = 0 - -0.4. Let j = 5.4 - l. What is the second biggest value in -4, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 85886.078.\nAnswer: -4294.3039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 2. Let m = -1 - g. Suppose 4*k = 2*k + 6. What is the highest common factor of k and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 582*t**2 + 2315*t + 1734.\nAnswer: (t + 1)*(t + 3)*(t + 578)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -7 - (-5 + (-3 - (-2 + -1)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*x - 4 + 5 = 0, -m + 3*x + 5 = 0. Let v be (-27)\/(-63) - 88\/m. Solve 0 = -2*g + 2*l - 10, 12 = -5*g + l - v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 408 - 88. What is the greatest common divisor of m and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128 + 133. Suppose 2*g + l*r = 27, -86 = -4*g - 5*r - 27. Calculate the greatest common factor of g and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*z = -133*z + 453960. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) 127 (c) -3 (d) 6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 39, 73, 127, 207, 319?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 = 3*j, -2 = -2*n + 6. Let i be ((-1)\/(-5)*j)\/2. What is the nearest to -0.1 in i, 4, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 2 + 8\/1. Let v(a) = -3 + 17*a - i - 3. Is v(7) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 4. Let s = 10 + i. Suppose 0 = -4*l + 4 + 28. Solve -s*j + t - l = 0, -j - 17 = -6*t + 2*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 429*n**2. Let m(s) = 33*s**2. Give -27*m(b) + 2*o(b).\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387577 is divided by 823.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.06772 * -0.1849\nAnswer: 0.012521428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 186 = -5*n, -2*r + 33 = 5*n - 116. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*d - 1779 = 2*d, -7121 = 4*a + 3*d. Let z = a - -3097. Is ((z - 0)\/2)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztztzztzztztzzzzzzzz. Give prob of picking 2 z and 1 t.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3605 - 2.6395. What is the biggest value in -1, w, 0, -315?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -17, -8, 7, 28, 55, 88?\n\"Answer: 3*g**2 - 6*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 2 + 2 - 4 - 4*d**3 to the form z*d**3 + h*d + k + r*d**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2456 (base 14) to base 6\nAnswer: -45220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 18*l**2 + 37*l + 195. Give u(20).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116780 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16))\/(1080\/(-288))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -10*i + 76. Let d(j) = 8*j - 77. Determine -4*d(k) - 3*l(k).\nAnswer: -2*k + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.44023 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - q + 9 = r, 4*r = 5*q + 11. Let o be -1*(-6)\/r - (-13)\/(-26). Solve d = 2*d - o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from {c: 4, j: 2, o: 8, t: 2}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -23, -4, 6, 2, -6 in increasing order.\nAnswer: -23, -6, -4, 2, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9)\/m)\/m**(1\/47) assuming m is positive.\nAnswer: m**(-526\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -c - 4*m, -4*c + 3 = 3*m + 31. Put -2, 2, c, 1 in increasing order.\nAnswer: c, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325383 (base 10) in base 16?\nAnswer: -4f707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(121)*-1)\/(-1*sqrt(275) - (sqrt(704)*1 - sqrt(704))).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -10529.8?\nAnswer: -10523.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 60 - 130. Which is greater: -77\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-45)\/(-27) + 2840\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7000767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 32\/288083?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -135625762 divided by -419894\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211 (base 3) to base 16.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20024)\/(-4745688))\/((-1)\/2)?\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 424, 2581, 0 in increasing order.\nAnswer: -4, 0, 424, 2581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.6. Let x = 2.2 - h. Which is the closest to 0? (a) -1\/6 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 58*l - 59*l - 26 = 0, 4*q - 21 = l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -97*l**2 - 4238*l + 4320. Determine h(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 499*p**6\/120 + 145*p**3\/6 + p**2 + 93. What is the first derivative of v(b) wrt b?\nAnswer: 1497*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 0 + 1\/4*k**4 + 0*k**3 + k + 1\/2*k**2. What is the derivative of h(i) wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 23 - (-1 - -5 - -8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (54\/(-63))\/(10\/(-35)) - 0. Let t = 49 - 39. Calculate the greatest common factor of t and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*b - 2025325, 5*s = 3*b - 540850 + 2566223. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 13. Let i be m(-9). Solve n + 5 = 4*q, 0 = i*q + 3*n - 0*n - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Suppose -14 = -c*a - b + 46, -3*b - 9 = 0. Calculate the remainder when (122\/8)\/(2\/8) is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-11))\/(67\/((-57486)\/(-12324)))?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 11:26 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(sqrt(76)*-1 + -1))**2.\nAnswer: 36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -32. Let t = -12 - f. Suppose r + 2*r = t*s - 84, -16 = -4*r. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a - 27*a + 69*a**2 + 329*a**2.\nAnswer: 398*a**2 - 45*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u - u)*(4 + 2 - 3).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*g - 2*g + 12*g)*(-576 - 419 + 542) in the form v*g + d and give v.\nAnswer: -9060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -85*b + 50. Calculate g(-5).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7300\/64 - 333\/5328 - (1 + 11).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157*b**2*w**2 + 3*b**2*w + 67*b**2 - 2*b*w**2 + 13225*b - 1 wrt b?\nAnswer: 314*w**2 + 6*w + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2582255*o**4 + 17584770*o**2?\nAnswer: 61974120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3)*m)\/((m*m**(8\/3)*m)\/m*m)*(m*m\/((m*m**(-1\/13))\/m))\/(m\/m**8) assuming m is positive.\nAnswer: m**(79\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 16*b + 43. Let c be t(18). Let k(u) be the first derivative of 0*u - 2\/3*u**3 + c + 0*u**2. Let g(y) = -y**2. Calculate g(k(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a factor of 352240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7642915.\nAnswer: 5, 7, 139, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 616883467*s + 573774085 wrt s?\nAnswer: 616883467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -277845, -278108, -278373, -278640, -278909, -279180?\n\"Answer: -t**2 - 260*t - 277584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*f - 13. Suppose -8*z + 76 = 12. Calculate the greatest common divisor of z and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 75\/(-9) - -1*(-8)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34 + 61 - 32 + 7*c**3 wrt c.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 4*i + i**2 + 2*i - 3. Is m(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1311 + -4?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1546764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/40)\/((-30)\/(-50)). Solve 0 = -3*h, 5*d = v*h - 0*h - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 - o - 15. Let g be 3\/(-2) - (-5 - 85\/(-10)). What is the units digit of c(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = q + s, 150*q - 4*s = 146*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*y, i + 2*i - 4 = -5*y. Solve -y*f + 4 = 2*m, -2*f - 28 = -7*f + m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 7021289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -14*l. Let o(b) = -b + 335. Let g be o(l). Suppose -4*i + 3*x = -g, -i - 4*x + 245 = 2*i. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*a - 206*a - 125 = 0. Sort 1, 0, -275, a in increasing order.\nAnswer: -275, a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4037.166 + -4029. Let x = 4.21 - u. What is x rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/102 and 103\/28254.\nAnswer: 28254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 78 = -2*x, 0 = -2*x - 74*d + 71*d + 102. Solve 19*o + x = 33*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(0 - 1))\/(56\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226053 is divided by 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.27 + -19.27. Let x = 18.5 + w. What is the nearest to 0.1 in 9\/5, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quuuuyaanuuuuq. What is prob of picking 4 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -547 and -462?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1330\/240*4 + (-222 - -197).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*n + 1. Let x be 2\/(-9) + 48\/(-27). Let p = n + x. Let l(g) = g**2 - g - 3. Determine l(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a**4 - 8*a**2 - 5*a. Let p(m) = -12*m**4 + 9*m**2 + 4*m. Let u(q) = 4*b(q) + 5*p(q). Find the third derivative of u(x) wrt x.\nAnswer: -288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3028*z**2 - 16*z - 3016*z**2 + 16*z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -296.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -11160 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 24 = 6*l - 4*v, 3*l + 5*v - 6 = 0. Let m = 123\/2 - 60. Are m and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwyccccplplllcwpwp. Give prob of picking 1 y, 2 p, and 1 l.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0. Let g(r) = 1 - r + r + r + r. Let o be g(-1). What is the closest to 1 in 1, o, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d. Let k = 37 - 33. Suppose 0 = -k*s - s - 10. Calculate n(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 11*p**2 - 20*p + 20. Let d(c) = -1. Let v(q) = -6*d(q) - n(q). Let z be v(12). What is z rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160678959 to the power of 1\/3, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8304a8 (base 11) in base 14?\nAnswer: 269a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 14*v**2 - v - 9. Let d be f(-14). Suppose -d*h + 2 = 2*j - 4*j, 0 = 2*j + h - 10. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzbbzbzbnnbenbzbzb. Give prob of sequence zbne.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 84, -0.8, 0.5, -5\/23, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*p**2 + 29*p - 2.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y. Let d be (21\/(-5) + 5)*(-65)\/(-2). Let r = -29 + d. What is f(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -882000*b**4 - 21172200*b**3 - 127108805*b**2 - 604920*b - 720.\nAnswer: -5*(b + 12)**2*(420*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 468\/27 + (-2 - 5\/(-3)). Let p(b) = -872 - v*b + 2*b + 872. Let s(f) = 10*f**2. Calculate s(p(g)).\nAnswer: 2250*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/((-1125)\/20))\/((-854)\/3843)*5*-2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(10\/3)*m**(-5))**3 assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a - 76*a + 4*v + 32 = 0, 0 = -a - 5*v - 34 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -4*m**3 + 11*m**2\/2 + 40*m + 2. Calculate the common denominator of -20\/3 and d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 510 - 5863?\nAnswer: -5353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 1.18 (b) 2\/23 (c) -252\/11 (d) -3 (e) 1\/323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0 + 0)*(-4 - 4 + 6) - k - 2 + 3*k + 7*k.\nAnswer: 13*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21 (b) 3\/5 (c) -1\/7 (d) 41\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12395 - 208*i + 12395)*(3 + 5 - 3)*(0*i + 2*i + 0*i).\nAnswer: -2080*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkzr when four letters picked without replacement from {k: 3, q: 1, r: 1, z: 1, f: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 44*w + 23)*(w - 3*w + 3*w) to t*w + s*w**2 + y and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004764214 to six decimal places.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14300160 divided by -178752?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 378264 by -31522.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53275, 0, -1.\nAnswer: -1, 0, 53275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3624\/216 + 26\/117?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Suppose -a*h = -7*h. Solve -2*o + h = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let k be (-49)\/88200*-24*-25. Put -1\/15, 0.6, k, j in decreasing order.\nAnswer: 0.6, -1\/15, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than -11.4?\nAnswer: -21.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1344110 and 1365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 38 = -2*f, -5*v + 4*f + 153 = 229. Determine d so that 1\/5*d**2 + v - 4\/5*d = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and -1581997350 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 24948280 and 24948281 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -1\/6 (c) 1.97 (d) 38 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o - 18. Let i be r(2). Suppose 2*s + 6 = i*n, -2*n - s = -3*s. Solve -5*v = -3*y - 2 - 5, n*v - y = 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(3 + 114\/(-39)). Let h = -3 + i. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 8546*z\/3 - 171320\/3.\nAnswer: (z - 8566)*(z + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956374291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19840 and 554400.\nAnswer: 68745600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14699*d + 14895*d + 5292 = 0 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9330010 = -3*d + 5*n, 0 = 4*d + 4*n + 12439980. Round d to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19411395 is divided by 1220?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3508959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**4 - 507*j**2 + 2224*j.\nAnswer: -36*j**2 - 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 5*s**2 - 11*s - 5. What is n(-7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 26, 62, 122, 212, 338?\n\"Answer: j**3 + 3*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 3:56 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6354 (base 9) to base 8\nAnswer: 11072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**2 + 4*a**2 + 4*a**2 + 4*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:45 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -17*u + 35*u - 16*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 25*x**3 - x**2 - 76*x**3 + 24*x**3 + 23*x**3 + 2*x in the form f*x + v + p*x**2 + l*x**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:39 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132426?\nAnswer: 2, 3, 7, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let y = s + -2. Suppose 3*f = 5*o - 33, -15*f + 15 = o - 17*f. Which is the fourth biggest value? (a) o (b) -5 (c) y (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 24 = -2*q. Let r = -5 + q. Solve -r = -0*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (271\/193765*520)\/(4\/(-682))\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 18942.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/1)\/((-2)\/(-2)). Suppose 0 = -2*l + k*l - 24. Suppose 6*t - 2*t - l = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from dala?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Let a = 267 + -269. Put 3, a, p in decreasing order.\nAnswer: p, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161 times 0.3\nAnswer: 48.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:08 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*((((d**(-1\/2)*d*d)\/d)\/d)\/d*d)\/d)**(-4\/29))**(-1\/31)*(d\/(d\/((d*d\/(d**(7\/3)\/d))\/d))*((((d\/(d**2\/d))\/d*d)\/d)\/d)\/d)**(-1\/3) assuming d is positive.\nAnswer: d**(9008\/8091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*t = 102, 3*t + 213 = 1204*h - 1202*h. Suppose i + 5*d - 3 - 1 = 0, -2*d = -2*i + 56. What is the greatest common factor of i and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1892104963.\nAnswer: 7, 43, 128287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 12. Give a(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**8)\/y*y**(-7)\/y*y*y**(-1\/3)\/y*((y\/(y*(y\/((y\/y**(-1\/2))\/y)*y)\/y*y*y))\/y)\/y*(y**(-2\/5)\/y)**48\/(y**5*y**(-1\/4)) assuming y is positive.\nAnswer: y**(-4607\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 49. Put 10, 0.5, -1, i in decreasing order.\nAnswer: 10, 0.5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31\/(-3) - (-1)\/3. Let k(g) = g**3 + 11*g**2 + 8*g + 12. What is the tens digit of k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -451014 times -0.5\nAnswer: 225507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3)*c)**(1\/7))**(-15)\/((((((c\/(c*(c*c**(-6)*c)\/c))\/c*c)\/c)\/c)\/(c*c**(3\/8)))\/(c*c*c*c*c**(-1\/4)*c*c\/c**(2\/5))) assuming c is positive.\nAnswer: c**(843\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 3*q**2 - q - 1. Suppose -7 = -5*l - 2. Suppose z + l = 3. Let w be j(z). Solve -w = -2*u + u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 6 = -2*s. Let x(i) = 2 + 6*i - s + 5 + i**2. Determine x(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 401739926?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8753*h*n*y - 1364*h - 46*n**2*y + 2*n**2 - 81*n wrt y?\nAnswer: -8753*h*n - 46*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**5\/20 - c**4\/3 - 5*c**3\/6 - 5*c**2\/2 + c. Let a(t) = 1 - 7*t - 6 + 0*t - t**2. Let l be a(-5). What is q(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/15))**(2\/111))**(-22))**(-3\/28) assuming o is positive.\nAnswer: o**(11\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cccrrcrrccccrccccrr.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m + 8. Let j be o(8). Let k = j - -33. Is 1 - (k + -3 + -1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -5. Suppose z*l - 2*l - 12 = 0. Let x = l + -2. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -270, 18, -5 in descending order.\nAnswer: 18, 2, -1, -5, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 1. Let s(k) = -k**3 + 10*k**2 - 9*k + 4. Let r(u) = h(u) - s(u). Let m be r(8). Is m*(8\/(-4) + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*x*z**2 - 162208*x + 121687*z**2 + 4 with respect to x.\nAnswer: 5*z**2 - 162208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 300 * 0.010542\nAnswer: 3.1626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(-138))\/(2\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62467.9027 to the nearest ten.\nAnswer: -62470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -2*t + 4*k + 1, -4*t - 9 = -k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -622 = 7*l + 316. Let z = 248 + l. Suppose z = -3*m + 132. Solve m*x + 15 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -2. Let v = 7 + s. Solve -v*a = -2*c + 10, -c = 3*a - 6 + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let b be (-4)\/(u + 6\/(-3)). Suppose -b*r + 16 = -0. What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -341.1 + -533.1. Round i to the nearest ten.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j**3 + 18*j**2 - 22*j - 147. Is h(20) 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 20 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (664\/5727)\/((-8)\/(-3))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 173298256, 346596511, 519894766?\n\"Answer: 173298255*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35485)\/(-564) - 64 - (-2)\/(-8)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47167960 or 47167956?\nAnswer: 47167960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 3:14 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -0.3 (c) 53 (d) -0.082 (e) -0.1 (f) 2\/5 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 5 (c) -0.3 (d) -0.2 (e) -0.04 (f) -5 (g) 1462\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/5)\/((143 + 10344\/(-72))\/((-10)\/(-42)))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-4))\/(10\/24). Let b be (-1 - 2)\/(i\/4). Let c be b\/((-66)\/15 + 4). What is the highest common factor of 15 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*5*-5 + -5*sqrt(2000))\/((-6*(sqrt(36) - sqrt(144)) + sqrt(36) - sqrt(36))\/(sqrt(900) + -2*sqrt(900))).\nAnswer: 125*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -101, -95, -89, -83?\n\"Answer: 6*i - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**3 - 5*t**2 + 8*t - 2. Determine z(2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.030361 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n**(-2))**38\/((n**(-6)*n)\/n*n*n\/(n\/n**1)*(n**(-1\/3))**(-40)) assuming n is positive.\nAnswer: n**(-826\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/4 (b) -0.01 (c) -12.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 89700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 157849691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -7*t**2\/2 - 13*t - 11. What is the first derivative of n(v) wrt v?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-66)\/(-8)*(-5 - -9). Suppose -3*x + 2*m = m - d, -m + 7 = x. Calculate the highest common divisor of 50 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 5*y + 9. Let u be i(8). Let v = -24 - u. Suppose g = v + 66. Does 27 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/9*((-9)\/3)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) 5 (c) 0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y - 12. Let j be d(-3). Suppose -j = -48*t + 45*t. Suppose 6*r - t*r + 6 = 0. Solve 7*w = r*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 1. Let n(u) = u**3 + 2*u**2 - 1. Suppose 5*h + 39 = -3*g - g, 2*g + 3*h = -21. Give g*n(d) - 5*i(d).\nAnswer: -6*d**3 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 10. Let z = 1 - u. Let n be -1 + -2 + 2 + -1. What is the second smallest value in n, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104\/17 in 3, -2\/13, 66, 64?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*r + 3*r - 13, 2*p + 17 = 3*r. Which is the third smallest value? (a) -4 (b) -0.783 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002163170051 to six decimal places.\nAnswer: -0.002163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**2. Let q(u) = -18*u - 20*u - 19*u + 24 + 65*u. Suppose -j + 24 = -0*j. Let a(k) = 2*k + 5. Let i(z) = j*a(z) - 5*q(z). Calculate c(i(y)).\nAnswer: 256*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, 44, 182, 370, 608, 896?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 4*g + 66, 34017*r - g + 27 = 34022*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134.10000707 - 134.1. What is m rounded to seven dps?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) + 55\/10 + -5. Suppose -4*a = -2*p - 0*a + 2, -5 = -2*p + 5*a. What is the closest to -1\/9 in o, p, 0.1, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 4*y**3 - 24*y**3.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by (11 + -7)\/(2\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5*a = -115, 351 - 275 = 4*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21997 + 23761. What is the remainder when m is divided by 196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6157*j*u**3 - 2*j*u**2 + 1002722*j*u + 62*u**3 + 2*u wrt u?\nAnswer: -36942*j*u - 4*j + 372*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(136)*1)\/(sqrt(80)\/(sqrt(10)*-2)))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = -72*u - 108 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-12 + 5) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 1\/3*o**3 + 1\/2*o**2 + 4*o - 1 + 1\/4*o**4. Let i be (-2 + 6\/4)*0. Calculate q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0.4, -5, -49956, -2\/7?\nAnswer: -49956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1. Let s = -178 + 182. Let q(w) = -8. Let o(t) = s*q(t) - 28*a(t). Let g(x) = -x**2 - 3. Calculate -3*g(c) + 2*o(c).\nAnswer: 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 7*k**2 - 13*k - 1. Let a be m(-4). Let z be 4\/(-6) - 1047\/9. Is a + 0 - (5 + z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 14 + -22 - -42.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.6 - -916.6. Let a = -906.83 + s. What is the third smallest value in a, -0.1, -0.05?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u + 13. Let t(o) = -3*o - 6. Let i(r) = 6*a(r) + 11*t(r). Calculate i(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**5\/20 + 5*y**4\/12 + 5*y**3\/6 + y**2\/2 + 2*y. Let p(m) = -3*m**2 + 2*m - 2*m + m - 2*m. Let t be p(1). Give q(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 12*d**2 + 11*d - 30. What is the tens digit of w(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -1)\/((-4)\/60). Let w = -17 - k. Let v = -8 + w. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9330 and 39445 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3205 less than -12821\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -4, -149, 2 in ascending order.\nAnswer: -149, -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b + 20 = 0. Let j be (b + -5)\/(1*-1). Solve 2*r - 3*r + j = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 44 + 34 = 0. Let o be 1 + (-1 - 46)*10\/(-10). Let u = r + o. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let z(h) = h**3 + h**2 + h - 1. Let s be z(-2). Let r = s - -19. Let j = r + -8. What is t(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:16 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 16*f - 20*f - 1221092, -9*x + 3*f = -2747421. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38569 to the nearest one hundred.\nAnswer: -38600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - t)*(4*t**2 + 0*t**2 - 5*t**2)*(4*t + 0*t - 2*t).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 171, 325, 471, 609, 739, 861?\n\"Answer: -4*r**2 + 166*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20300 + 230?\nAnswer: -20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - (-18 - (0 + -7) - -11 - (0 + -6)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + (-10)\/3)\/(8\/(-6)). Let h(j) = -11*j - 66. Let w(f) = -2. Let o(r) = x*h(r) + 3*w(r). What are the prime factors of o(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = 4*s + 140, 2*m - 2 = 0. Let t = s + 36. Factor 2\/3 - 2\/3*w**t + 0*w.\nAnswer: -2*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**4\/6 + 4*y**3\/3 - 4*y**2 + 16*y\/3 - 28. Factor b(o).\nAnswer: -2*(o - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 9 = 5*v. Let d(j) = -25*j - 3. Is 12 a factor of d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/79 (b) 13 (c) 4 (d) 2\/171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23302 (base 4) to base 16\nAnswer: -2f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 102, -76 in descending order.\nAnswer: 102, 44, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 12*r + 85. Let t be s(-17). Suppose -5*q + 71 + 19 = t. What is the lowest common multiple of 21 and q?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32570113111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggcggggggggcggc. What is prob of picking 1 g and 2 c?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8)*-6)\/((-3618)\/(-4288))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 - p + 9. Let s be j(6). Let w be 20\/(-2)*(-6)\/(-15). Suppose 8 = -21*t + 17*t. Sort w, s, t in descending order.\nAnswer: s, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 1\/3*s**6 - 92*s + 2*s**4 + 0 + 0*s**5 + 0*s**2 + 0*s**7 - 1\/56*s**8 + 0*s**3. Find the third derivative of l(y) wrt y.\nAnswer: -120*y**3 + 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -31*x**2 - x. Let i(m) = -32*m. Determine h(i(u)).\nAnswer: -31744*u**2 + 32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.727 times -75867\nAnswer: -131022.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420 + 215 - 2 + 207 + 4*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.82314528 minus -11?\nAnswer: 449.82314528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 977*h - 3872. Determine u(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 34. Suppose -3*i - z*i + 12 = 0. Suppose -2351 = -5*j - 2*b, -4*j + b = -i*b - 1890. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y - 56*y - 12*f = 348, -3*y - 3*f = 93 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3271 + -3a384?\nAnswer: -37113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4429, -4430, -4431, -4432, -4433, -4434?\nAnswer: -4435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2\/5 (c) 15\/751 (d) 3 (e) -1\/29 (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6*30\/4. Let v(g) = g. Let a(u) be the first derivative of -u**2 - 10*u + 1. Let f(r) = a(r) + 3*v(r). Give f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - k - 13. Let i be p(0). Let w = 21 + i. Suppose -u - 3*f = 6 - 2, -4*u = 2*f - 24. What is the smallest common multiple of u and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1708453\/14203 + 5\/2029. Let z = 120 + a. Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 16 - 24 = 0. Suppose -23 - 9 = -m*a. Let 9*f**2 + 10*f**2 - 29*f**2 + 6*f**2 + a = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254915794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**3\/6 - 3225*a**2\/2 + 4835*a\/3 = 0. What is a?\nAnswer: 0, 1, 1934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14.89 and 0.588?\nAnswer: 14.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9030194669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441813 - 441813 - 39*k + 74*k - 29*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((54\/(-60))\/(-9)). Solve f = -0*m - 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -72964*k - 292016. Determine q(-4).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 1126781?\nAnswer: 1126781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 - 2*b + 2*b + b - 5*b + 5*b as d + s*b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, 56, 443, 1260, 2651, 4760, 7731, 11708?\nAnswer: 16835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7049 - 84655\/12. Let q = -10099\/1452 + 14\/363. Find the common denominator of q and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.7 and -0.15?\nAnswer: 0.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 160, -60, -370, -770, -1260?\nAnswer: -1840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -4*x**3 - 8*x**2 - 4*x + 10. Determine k, given that r(k) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6\/5, -0.1 in decreasing order.\nAnswer: 6\/5, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from {v: 4, d: 2, a: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.053 times -24\nAnswer: 1.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 928 = 26*t - 4688. What is the remainder when t is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1307*z - 47054. Determine y(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3945336 is divided by 1486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1045*y + 1014*y - 2 - 2010*y)*(-3 + 4 - 7) as w + h*y and give h.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.0484 * -0.3.\nAnswer: -0.91452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -399, -402, -405, -408, -411, -414?\n\"Answer: -3*f - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.0329 (b) 1 (c) 3\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 - s**2 + 4*s. Let j be y(-2). Suppose -j*g + g = 0. Solve q + 10 = -4*z - 0*q, g = -4*z + q - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 2:24 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62892 - -63044. Suppose 2*l - 3*l = -19. Calculate the greatest common divisor of n and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s. Let t(h) = 75*h**2 - 5*h + 5. Let m(w) = -77*w**2 + 4*w - 4. Let i(q) = -5*m(q) - 4*t(q). Determine i(u(d)).\nAnswer: 340*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 87 (b) 0 (c) 3\/5 (d) 0.06 (e) 2 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3 - 7. Let d be 0 + m\/(5\/2). Solve -4*x + 2*p + 5 = -15, 0 = -d*x - 2*p + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.317 take away -10.4?\nAnswer: 10.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -351623 - -2163?\nAnswer: -346430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (22 - (-9 - -4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -865663, -865516, -865369?\n\"Answer: 147*q - 865810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.459 times 4?\nAnswer: 1937.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -56005029804 and -693.8.\nAnswer: -56005030497.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 85*k + 714. Calculate j(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 54, 68, 88, 114?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 23*l + 246. Let i be j(-10). Suppose 3*s - 27010 = -2*f, s + i = 5*s. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -26531?\nAnswer: -10\/26531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19081\/7 + -2725. Let k = 2\/21 - -4\/21. Factor 0 + 0*m + 2\/7*m**2 - k*m**5 + 6\/7*m**4 - c*m**3.\nAnswer: -2*m**2*(m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - m**2 + 18*m**3 - 4*m**2 - 98*m**3 + m.\nAnswer: -80*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -139, -292, -445, -598?\n\"Answer: -153*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 510*a**3 + 35. Let j(t) = -85*t**3 - 6. Calculate -35*j(v) - 6*s(v).\nAnswer: -85*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -94*o. Let l(b) = -61090*b**2. Determine z(l(a)).\nAnswer: 5742460*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1 - 1 - 8*t**2 + 6*t**2. Let m = 99 + -93. Let x(o) = -5*o - m*o + 4*o + 0*o. What is x(c(q))?\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*(-48)\/(-36) - 44. Sort 0, c, 3 in decreasing order.\nAnswer: 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - -182163.59.\nAnswer: 182220.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16.9055 from 0.4.\nAnswer: -16.5055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1977 by 203.\nAnswer: 1977\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -5. Let g = 20 - u. Let c be (-3)\/((-4)\/((-40)\/g)). Let x(i) = -4*i**3 + 2*i + 2. Let f(l) = -l**3 + l + 1. What is c*x(k) + 4*f(k)?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0031517*4.\nAnswer: 0.0126068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 71*v - 272. Let b be i(-4). Solve 80*a = 87*a + b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12483 and 27?\nAnswer: 37449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:33 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 2*d**3 + 823 - 737.\nAnswer: -2*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2))\/(v*v\/((v\/((v\/(v**11*v))\/v))\/v)) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -11) + -3 - (46 - 14 - 43)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/56 and 173\/9002994.\nAnswer: 36011976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n\/(n\/(n**5*n)))\/n*n)\/n)**(-6\/11)\/(n\/n**3)**36 assuming n is positive.\nAnswer: n**(756\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6626941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*d + 39 - 124 + 71 + 12.\nAnswer: -335*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*2\/16*(-15 - -19). Sort 9, d, 2, 4 in decreasing order.\nAnswer: 9, d, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 107964 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -46*i + 36. Solve -4 = -a - s, s - 8 - i = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjyj. Give prob of picking 2 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/4 + -2 + 3. Suppose -5*q + 0*q + 30 = l. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-4) + 4 + -4. Suppose m = -6*a - 191 + 41. Let n = 29 - a. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 6283061\nAnswer: -1\/6283061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/24 and -22\/5006685.\nAnswer: 40053480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j**(-1\/2)\/j)\/j)*j**(-14)*(j\/j**11*j)\/j**14 assuming j is positive.\nAnswer: j**(-67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 855735403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 103?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*i + 2 - 2 - 19*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 3*k**2 - 2*k - 1. Let g be z(2). Let b(f) = -8*f**2 + 159*f**3 - 146*f**3 + 7*f**2 + 2*f**2. What is b(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-9) + ((-26)\/195)\/(144\/2580).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxi when three letters picked without replacement from xxxxxxxiixxxxxxi.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13879831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*z**3 + 3 - 3 + 450*z**3.\nAnswer: 76*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1120*v = -1159*v + 234 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14944\/19 - 9042298\/11495. Calculate the common denominator of n and 47\/121.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = m - 17, -3*m + 5*m + 2*j = 14. Suppose c + 41 = m*c. What is the greatest common factor of c and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-369)\/3690)\/(7\/(-5))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(sqrt(832))**2.\nAnswer: -4997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 minutes after 5:04 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 94*l - 35*l - 34*l - 27*l + 3.\nAnswer: -2*l - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 130 = -641. Let g = 19 - i. Let v = g - 53. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1388796636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4375034 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 10 = -87*m + 82*m, 3*b = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 360 + -200. What is the highest common factor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*k + 17*k - 11*k**3 + 13*k**3 + 10*k - 946*k**4 to q*k + p*k**2 + j*k**3 + r*k**4 + x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, q: 2, s: 3, n: 1, r: 6}. Give prob of picking 1 q, 2 t, and 1 r.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/9)*j*j)**(-2\/5) assuming j is positive.\nAnswer: j**(-52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 26.2457 - 1908\nAnswer: -1881.7543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 439755 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5691*f*s**4 + 2287868*f*s - 67*s**4 wrt s.\nAnswer: 68292*f*s**2 - 804*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -617807 (base 9) to base 10.\nAnswer: -366613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - 4*n**2 - 12*n**3 + 19*n.\nAnswer: -12*n**3 + 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21279126 to the power of 1\/2, to the nearest integer?\nAnswer: 4613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121980713*a**2 - 121980713*a**2 + 70 - 2*a**3.\nAnswer: -2*a**3 + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.159*2.635\nAnswer: 3.053965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.96 - -0.04. Let w = -1.6 + 1.5. Let y = 4 + 1. Which is the smallest value? (a) z (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 + 28605*k**4 + 85785*k**3 + 85775*k**2 + 28590*k = 0. What is k?\nAnswer: -5718, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 224*d + 5 - 1 - 1.\nAnswer: 224*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4279*i**3*l**2 + i**3*l + 17181*i**2*l + i*l - 4*i + 754*l**3 wrt l.\nAnswer: 8558*i**3 + 4524*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -50. Suppose -u*c - 116 = -24*c. Let z = 295 + c. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 1449836*o + 4349490.\nAnswer: 2*(o + 3)*(o + 724915)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 560493299 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 50. Solve -5*i - 12 = 2*t + h, i = -5*t - 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (367 + 93*v - 367)*(5 - 5 - 2) as r + l*v and give l.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 n, and 1 o when four letters picked without replacement from {w: 9, o: 7, n: 3}?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 302299189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74993 is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15293*-3485.\nAnswer: 53296105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-16)\/1540)\/(-1*8\/140*-5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 - -64. Suppose -2*q - a*j = -8*j - 28, -3*j = -q + 16. Suppose q*z - 2*f + 9 = z, -3*f - 15 = 5*z. Is z at most as big as 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + 28*m - 59. Suppose 307 = -100*j - 901 + 108. Calculate o(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -y + 5*i - 269, -3*y + 4*i + 153 = 0. Let t = -23 + 36. What is the remainder when y is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22, -1 in increasing order.\nAnswer: -22, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -12, 3*r + 0*g = -g - 12. Let m(p) = 2*p**2 - 7*p + 4. Let j be m(5). Let n = j + r. Solve -n = -0*u + 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -2\/21, 3\/4, 2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-450)\/(-21))\/(5 + 170\/(-35)). Suppose 5*y + 4*l - 400 = 0, 4*l = y - 32 - 24. Calculate the remainder when y is divided by -8*(-1)\/6*j\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2052 (b) -5\/7 (c) 0.3 (d) 3 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:46 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 152, 53, -46, -145?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 5. Let t(i) = -2*i + 2. Let z be t(4). Let b be p(z). Which is greater: -1\/2 or b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 0 - 1\/48*g**4 + 0*g**2 - 1\/160*g**5 - 1\/48*g**3 + 20*g. Factor v(m).\nAnswer: -m*(m + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 21*j**2 - 39*j + 33. Calculate the remainder when 363 is divided by x(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 40 = -d, 1586*d - 1587*d = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 61?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 118. Suppose -y + 5*u + x = 0, -5*y - 6*u + 18 = -8*u. Solve 0 = -o - 5*i + 8*i + 12, 0 = -y*o + 3*i + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80398 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l - 21. Let p(g) = 74*g - 223*g + 84*g + 72*g. Calculate c(p(v)).\nAnswer: -28*v - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w - 1. Let o(f) = -25*f + 5. Let s(h) = -2*o(h) - 11*x(h). Let d(v) = -v**2 + 2*v + 5. Let q be 5\/1 + (-4 - 8\/(-4)). Let t be d(q). Calculate s(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029*o = 1025*o + 4. Let c(b) = 7680*b**3 - 12*b**2 + 13*b - 1. Let l be c(o). Round l to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 492, 485, 474, 459, 440, 417?\n\"Answer: -2*u**2 - u + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1477*c + 1468*c + 108 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bd6a (base 14) to base 16.\nAnswer: -1164a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -4\/3, -4914, 0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 36*r - 40*r - 709 = 149*r, c = -5*r - 11 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -279.369 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*z = -50, -22*j - z + 20 = -40*j + 22*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261350416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 48732864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3321 (base 4) to base 16.\nAnswer: f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 9. Let q be 22\/4 + 4\/(-8). Let f(m) = -m + 9. Let b be f(q). Let r be j(b). Is 5 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-36) - 32912\/21420*(7 + -6)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.08, -0.8, -0.5 in decreasing order.\nAnswer: 0.08, -0.5, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5699, 2\/11, -38\/121?\nAnswer: -38\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 288 + -159. List the prime factors of n.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 3, t: 2, d: 6}. What is prob of picking 2 t and 1 p?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1087152 and 215424?\nAnswer: 443558016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -b + u + 18, -4 = u. Let p(c) = c + 1. Let f be p(b). Let g = 27 - 23. Is g at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 23. Let s = v + 1. Suppose 0*j + 350 = 5*j. Calculate the greatest common factor of s and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 1 + 4)**2.\nAnswer: 60*sqrt(5) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -22. Suppose 5*f + 19*b - j*b - 117 = 0, 25 = f - b. What is the remainder when 87 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(1872) + 2 + 2 + sqrt(1872)*-1 + -3 + (sqrt(1872) + -2 - sqrt(1872)) + -4))**2 + 4.\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151 - -156. Solve -u*z - 4*z = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*b*j**4 - 8*b + 6896*j**4 - 30435 wrt j?\nAnswer: -44*b*j**3 + 27584*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 69*j - 11. Let y be m(21). Let a = 574 + y. Sort 0.05, a, -0.3, 1\/3 in ascending order.\nAnswer: a, -0.3, 0.05, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b + 2*b + 2*b + 4*b. Let o(w) = w**2 + 6*w. Let n(f) = -2*f. Let v(r) = 6*n(r) + 2*o(r). Calculate l(v(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -107. Let p = v + 61.8. Let l = 13 + -8. Which is the closest to 0.2? (a) p (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13123 - 13107. Let v = -6 + -9. What is the smallest common multiple of (18\/v)\/((-6)\/80) and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-2)\/88*4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1 - 4*b - 6*b + 11*b. Let r(k) = -1. Give m(o) - r(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6) - (-175)\/(-15). Let s be 378\/22 + 2\/l. Suppose -3*m + 47 = s. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -402, -314, -168, 36, 298?\n\"Answer: 29*x**2 + x - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3729*w - 3725*w - 920. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62637 (base 9) to base 8.\nAnswer: 120600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 3*s)*(-22*s - 161 + 345 - 177).\nAnswer: -22*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -28*u + 11*u**2 - 4 + 32*u - 9*u**2. Let b be i(-4). What is the highest common divisor of 24 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-34)*6\/(-4). Is -1 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 10*d**2 + 9*d + 4. Let u be j(9). Suppose 0 = b - u - 36. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232 (base 4) to base 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.594 + -5.994. What is the biggest value in -13, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -75? (a) 2\/3 (b) 3 (c) 2\/7 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 7*r**4\/4 + 2*r**3 - 2*r**2 + r - 14. Let i(h) = -15*h**3 - 13*h**2 + 9*h - 2. Calculate -9*c(b) - 4*i(b).\nAnswer: -3*b**3 - 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -439 + -55?\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-20) + (-30)\/50. Which is the nearest to -1? (a) q (b) 7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018 + 134?\nAnswer: 133.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 + 15*d**2 + 261*d**3 - 535*d + 398*d**3 + 350 - 484*d**3.\nAnswer: -5*(d - 35)*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 8. Let g(n) = -n**2 + 4*n + 24. Let y(b) = -2*g(b) - 7*h(b). Let x be y(4). Calculate the highest common divisor of x and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96901952 by 2.\nAnswer: -48450976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 7*n + 6. Let o = 1 - -5. Let a be k(o). Let w = a + 38. 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: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from jjjffmkjcfjjmfijf.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*p - 4 = 0, -3*p = 3 + 6. Let u be 15\/2*4\/6. What is the second derivative of -d**i - d**5 + d + d**u wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*t. Let p(y) = -2*y - 1. Let g be p(t). What is the biggest value in -5, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((42\/49)\/(-6))\/((-108)\/(-378))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 3 + 1 + -6. Let o(l) = -l**2 - 4*l + 4. Let y be o(n). Suppose a - 19 = -4*b, -b - 14 = -y*b - a. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**2 - 713*o + 3037. Determine u(-106).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 1, 20, 57, 118?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide ((-66 - -1) + -1)*(1040\/(-30) - 24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2234 + -2?\nAnswer: -2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6764*v + 2316*v - 8213*v - 1603*v - 3565*v.\nAnswer: -17829*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 17*z + 24 = 0. Solve 3*h + 25 = 5*v - 2*h, 4*h = -3*v + z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1598326 divided by 589.\nAnswer: 1598326\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrfrffrffrfrf. What is prob of picking 1 r and 2 f?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5 + 222380*d**4 - 8242440488*d**3 + 101849080933008*d**2 - 407000757744576*d - 3258115899028992 = 0. Calculate d.\nAnswer: -4, 8, 37062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 34*j - 8. Let u(s) = -19*s + 3. Let w(r) = -5*c(r) - 9*u(r). What is w(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 338688 and 58212.\nAnswer: 3725568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*g - 4496 = 0, 6039 = 5*r - 3*g + 1533. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/44, -0.3 in decreasing order.\nAnswer: -3\/44, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 484*g + 3385. Let q be t(-7). Put 3, 62, q, -2, 2 in decreasing order.\nAnswer: 62, 3, 2, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1690160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 11 - 5)*(-o + o + 2*o + (0 + 5 - 4)*(-3*o + 3*o - 2*o) - 4*o + 3*o + 2*o + 2*o - 1 + 1 + 0*o + 0*o - 2*o).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1465449 (base 10) to base 7.\nAnswer: -15312306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 16. What are the prime factors of i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in decades?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(24)\/sqrt(6))\/(sqrt(40)\/sqrt(5)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 13*u**2\/2 - 21*u - 6. What is the derivative of z(s) wrt s?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.261 - -8.739. Let m be (5 + -2)\/(1\/(-10)*-6). What is the smallest value in r, -1\/9, m, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v - 1 + 27*v**2 - v**4 - 5*v + v - 109*v**2 to the form j*v + b*v**3 + l + w*v**2 + f*v**4 and give w.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -235, -217, -181, -121, -31, 95?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-14) + 6*(-2)\/(-21). Suppose 23 = u - 5*m, m = -t*m. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430979*g**3 - 107735*g**3 - 107763*g**3 - 107739*g**3 - 107743*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 4. Let f be t(0). Let w be 20\/(-1 - 1*-2). Solve y + f*y = -w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from udeddtdeddndedueendd?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 - -92.00000056. Round z to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84765360.\nAnswer: 2, 3, 5, 151, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20, 104, 236, 410, 620, 860, 1124?\n\"Answer: -j**3 + 30*j**2 + j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**8\/1848 + 2*b**7\/1155 - b**6\/330 - 4*b**5\/165 - 7*b**4\/132 - 2*b**3\/33 - 11*b**2. Determine m so that n(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from ieeikikeiiwkwii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2856 + 430. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0 - 10. Let h = 6 - 4. Let o(p) = 3 - 2*p - p**3 - 3 - 1 - h*p**2. Determine o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -711, -10, 551?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 19 - 8)*(-m + 4*m - m)*(26 + 25 + 1 - 4).\nAnswer: -576*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12926645089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70104 is divided by 70036?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 34*u - 11. Calculate d(4).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161 - -171. Suppose -4*q = -4*x + 10 + l, 0 = 4*q + x - 5. Solve 5*b - s - 2*s + 18 = 0, q = b + 5*s - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -62 - (-9 + 28).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 31.731, -3, -2\/13, -15\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, e: 4, q: 1, l: 2, t: 2}. Give prob of picking 1 e and 3 i.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-33)*(-406)\/116*18\/(-105).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-12) - 35\/(-120)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979119 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14275608 and 0?\nAnswer: 0.14275608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 707, 715, 725, 737, 751, 767?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7030527*q**5 + 1854882*q**2?\nAnswer: 421831620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -30, 150, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + 0*w)*(0 + 1 - 6 - 8 + 15 + 20 + (0 - 2 + 3)*(1 + 4 - 4) + (-5 + 3 - 3)*(-3 + 3 - 1)).\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 + 125. Let q = 8 - a. Suppose -51*z**3 + 45*z**q + 13*z**4 - 12 + 99*z**2 - 12*z - 102*z**4 + 2*z**4 + 18*z**5 = 0. What is z?\nAnswer: -1, -2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 22. Let u = 220279440.00000036 + -220279448. Let z = u - k. What is z rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 2*u**2 - 2*u - 3. Let v be a(-1). Let t(n) be the first derivative of -4 + 1\/2*n**4 + v*n**2 + 0*n + 2\/5*n**5 + 0*n**3. Factor t(g).\nAnswer: 2*g**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-168))\/((-4)\/(-6))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-39)\/(-120))\/(54\/(-15)). Let i = -1547\/144 + p. Let x = 1183\/3 - 404. What is the common denominator of i and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -123) + -45 - (-2 + 5 + (2 - 0)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -1\/10, 5, -14, 0.2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 - -134. Let l = -1.7 + 1.7. Which is the closest to j? (a) l (b) 3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-2 + sqrt(320))*1 - (sqrt(320) + 1 + sqrt(320) + -2 + sqrt(320))) + -2)**2.\nAnswer: -32*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*h - 16. Suppose 0 = -h*n - d + 4858, 7*d + 956 = n + 2*d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10293 - -18838. Suppose 38*n - 43*n + z = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19496 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 + d**2 + 5*d**4 - 190 + 191 - 2*d**4 in the form u*d**2 + a*d + m + c*d**3 + o*d**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-1 + 1 - f) + (-4 + 1 + 2)*(-f + 13 - 4 - 5) + f + 0*f + 0*f + (2 - 7 + 4)*(-5*f + 6*f - 2*f).\nAnswer: f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 453, 752, 1051, 1350, 1649, 1948?\n\"Answer: 299*l + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 112.091?\nAnswer: 112.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -10075\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**5\/5 + q**2\/2 + q - 2. Let c(t) be the first derivative of m(t). Differentiate c(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 47. Suppose 77 = -p*w + 10*w. Suppose 5*y = -5*l + 5, 0 = -l - 4*l + y + w. Which is the closest to 1? (a) l (b) -1\/9 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 8*u**2 - 3*u - 6. Give w(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2 - (-33 + 6). Suppose 3 - w = 13*g. Let s be (1 - 1464\/(-10)) + g\/5. What is the greatest common factor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 6*g**2 + 2*g - 2. Let u(j) = -j**4 - j**3 + j - 1. Let l be 1\/(-1) - (-25)\/(-25). Let c(t) = l*u(t) + y(t). Factor c(h).\nAnswer: 2*h**2*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/216)\/5*-12)\/(4\/(-18))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - 67. Let d(v) = 362*v. What is s(d(t))?\nAnswer: -262088*t**2 - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 139069?\nAnswer: 695345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 0*p**3 + 0*p**2 + 3\/20*p**5 + p + 0 - 1\/4*p**4. Find the third derivative of c(w) wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**7\/63 - 2*f**6\/15 - 7*f**5\/30 + 46*f**4\/9 - 16*f**3 + 64*f**2\/3 + 3*f - 123. Suppose r(d) = 0. Calculate d.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h - 13*h - 51*h**2 - 15*h**2 - 6. Let n be s(-3). Let y = 59 - n. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lulluuliiiliuu. What is prob of sequence uuil?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 3011*z**2\/2 + 1135520*z + 3393024.\nAnswer: (z + 3)*(z + 1504)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2367 + -23717\/10. Let t = 0 - 10. What is the common denominator of (-27)\/t*(-12)\/9 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303963 is divided by 351.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*o - 6 = -22, 2*o = -3*i + 8. Let s(u) = 2*u**3 - u + 365 - u**3 - 2*u**3. Is s(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9081*q**2 + 4939*q + 6. Let j(v) = 9080*v**2 - 4950*v - 5. Let y(p) = 4*h(p) + 5*j(p). What is the second derivative of y(a) wrt a?\nAnswer: 18152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*6\/(-2*(-1)\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -299, -550, -799, -1046?\n\"Answer: u**2 - 254*u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 + -2 + -1 - 57\/19. Solve 8*q - 7*q = p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.48.\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let l = -1 + 1. Let h = l - 3. Put -1\/6, h, z in descending order.\nAnswer: z, -1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 + 10*z + 6. Let n be h(-5). Let k = -52 + n. Solve -k*m + 10 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*a - 0*x + 2*x, 12 = -3*x. Solve -2 = 2*c, -t + 4*c + 5 = -a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325210 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/(76\/44184) + (3 - 2). Suppose -105 = -17*a + j. List the prime factors of a.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.531 to 1 decimal place.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1405\/240*(-2)\/3. Let s = x - -33\/8. Let f = -3 + 2. Which is the third biggest value? (a) -2 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**2 - 4*a + 21. Let g(l) = l**2. Let k(s) = -4*g(s) - y(s). Let u(d) be the first derivative of k(d). Determine u(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4838 and 653417.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1326*w**3 - 137*w**2 + 63 - 65 + 172*w**2 + 154*w**2 + 366*w**2 wrt w.\nAnswer: 7956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:05 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -490 - -14207\/29. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3666215 divided by 33635?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -28. Let d = o - -14. Suppose 4*h + 4 = d, 69 + 0 = 5*s + h. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 275, 1286, 2971, 5330, 8363?\n\"Answer: 337*f**2 - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:50 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 4 - 2)*(-6264 - 3246*a + 6264) + a + 2 - 2 + 2*a + 3 - 3 + (-1 + a + 1)*(5 + 0 - 6) + 4 - 4 + 2*a.\nAnswer: 6496*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 46 = 46. Calculate the least common multiple of 28 and 56 - (-1 - 10\/(-2) - x).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 2331*i - 30 + 66.\nAnswer: 2331*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1598)\/(-8789))\/((-4)\/(-1100)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -301\/4 + 255\/4. Which is the second smallest value? (a) -14\/15 (b) w (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1)*16\/32. Suppose x*j = -j + 2. What is the second biggest value in 0.3, -0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - -12. Let s be ((-8)\/6)\/(((-156)\/(-90))\/(-13)). What is the units digit of c\/s*(-56)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 120*z - 120*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = r + 12, -f + 5*r = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(5)*-4 - (4*sqrt(80))**2.\nAnswer: -1280 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 301 = -281. Let t = -6 - -7. Calculate the remainder when 2 + t + 5\/1 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**7\/630 + p**6\/80 + p**5\/30 - p**4\/6 - 14*p. Let f(u) be the third derivative of c(u). What is the tens digit of f(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*j**4 + j**2 + 19*j**4 - 16 + 4*j**4 + 2*j to the form w*j**4 + n + f*j**3 + b*j**2 + t*j and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5)\/b)**6)**(-44) assuming b is positive.\nAnswer: b**(792\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 5 - 5 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 293*i**2 - 10344*i - 3024. Give p(-252).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -574152 divided by -3054.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*k + 59*k + k**3 + 52*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/116940 and 145\/12.\nAnswer: 116940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 12*n + 16. Let q be y(11). Suppose 4*o - 644 = 4*p, q*o + 0*p - 784 = -2*p. Suppose -96 = -2*r + o. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 502 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20124381 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/3)*x)\/x**(-3\/2)*((((x**(-4)\/x)\/x)\/x*x)\/x)\/((x\/((x**(-1\/3)*x)\/x))\/x)*((x*x*x\/(x*x\/x**(-5)))\/x*x\/x**3)**(-1) assuming x is positive.\nAnswer: x**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6 = -4*j + 4*d, 15 = 3*j - d. Let r be j\/2 + (1 - 2). Solve b - 5 = r*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -90075, -90951, -91827, -92703?\n\"Answer: -876*m - 89199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 10*v**2 - 9*v - 31. Let m be h(10). Let a = 250 + m. Is a a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 152 and -5.\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by ((-18)\/(-15))\/(-3 - (522\/105 - 8)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 = -24. Suppose -3*u - 5*t - 31 = -7*u, -t + 5 = 0. Let q = z - u. Solve -f - 2*m + 7 = -m, 3*f - 4*m - 7 = q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 14*b - 37 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 4 (c) -23 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 11, n: 2, z: 1}. Give prob of sequence nzn.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 51. Let z(p) = -p**2 + 6*p - 6. Let j be z(f). Suppose 1 + 14 = j*v. Solve v*h + 0*h = 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2518, -2, -1, 3.\nAnswer: -2, -1, 3, 2518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f = 3*r + 24, -3*r - 124 = -3*f - 118 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 287*w - 1720. Let g be l(6). Put -32, g, -1, 0 in decreasing order.\nAnswer: g, 0, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u = 4*d + 7, 0 = -2*u + 2. Let y(f) = 6*f**2 + 4*f - 2. Is y(d) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255 (base 6) to base 5.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 80465973, 160931943, 241397913, 321863883?\n\"Answer: 80465970*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/37, 2.6, 7\/3?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1102 + c + 3698 + 2451 + 71.\nAnswer: c + 5118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.142 - -1.142. Let a = -17 + 10. Let s = 10 + a. Put -0.2, s, c in increasing order.\nAnswer: -0.2, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 7*c + 138, 22*c - 18*c + 16 = 0. Calculate the least common multiple of 4534 and r.\nAnswer: 49874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from gxbgbgbgxgggxbxggbg.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*t**2 - 5*t**4 + 4*t**2 - t**2 wrt t?\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gug when three letters picked without replacement from sugsgsgtsgggguggggus.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/350)\/(2\/4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 266*a**2 - 9 + 3*a - a**3 + 9 + 25*a**2 - 1 in the form p*a + u + n*a**2 + c*a**3 and give n.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 - -230660.\nAnswer: 230659.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12376\/3 - -4044. Let f = z - -81. Let v = 3 - 1. Which is the second biggest value? (a) f (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (890\/2136)\/((-5)\/(-2))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/(10\/45). Suppose d*f - 7*f = -4*x - 20, 5*x = 0. Let r(w) = -w**3 - 10*w**2 - 9*w - 5. Let a be r(-9). Sort 4, a, f.\nAnswer: a, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46*(55\/60)\/11 and -19\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/8 - 153*d + 40789899\/8.\nAnswer: -3*(d - 3489)*(d + 3897)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54213157 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**(9\/5))*n*n**4*n**(-8)*n*(n**(-1\/8)*n)\/n*n)**(-1\/64))**(-2\/49) assuming n is positive.\nAnswer: n**(-157\/62720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(32)*-2 + sqrt(98) + (sqrt(98) - sqrt(98)*-2)))**2 - (sqrt(1440)*1 + sqrt(10) + sqrt(10))\/((2*sqrt(25))\/sqrt(5)))*3.\nAnswer: -21*sqrt(2) + 21600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13783 times 15\nAnswer: 206745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 76*j**2 + 79*j + 28. Calculate the remainder when f(-3) is divided by 58.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -2) + 43 + -41\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20904 a multiple of 529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 s, 1 p, and 1 n when four letters picked without replacement from lnpltlpspnntln.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*(2*c + 3*c - c)*(-700 - 10*c + 700) to the form v*c + o*c**2 + x and give o.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/3 + 7217*m\/3 - 57800\/3 = 0.\nAnswer: -7225, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145*u - 1314 + 29*u - 3*u**2 + 264*u + 403*u - 178*u.\nAnswer: -3*(u - 219)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -2\/11 (c) 124\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-275)\/(-12))\/1 + (-557)\/(-6684)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -149791, -299585, -449367, -599131, -748871, -898581, -1048255?\n\"Answer: h**3 - 149801*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24795 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: In base 6, what is -33202 + -4?\nAnswer: -33210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8 + 15 + 1 - 35*g.\nAnswer: -35*g + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -a?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1763238 is divided by 1763232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 132455971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 8 = -2*c, -75*t + 72*t = 3*c - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*m + 2 - 14*m to the form o + a*m and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1719836 or -1719843?\nAnswer: -1719836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2. Let f(x) = 10*x**2 + 6*x. What is f(r(q))?\nAnswer: 40*q**4 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17516 is divided by 254?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, -1, -3, -5, -7, -9?\n\"Answer: -2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 67, 52, 19, -38, -125?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 13 = -l, 4*j - 8*l = -11*l + 23. Let x = 10 - 6. Suppose z**x - 12*z**3 + 0*z**j + 0*z - 16*z + 24*z**2 + z**4 = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - q + 1. Let c(j) = -8*j - 1 + 10*j + 3*j + 37*j**2 - 2. Let g(f) = c(f) + 4*u(f). Is g(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/55 + (-40)\/(-462). Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -54*x**5 - 2*x**3 + 7*x**2 - x - 2. Let o(q) = q**5 + q**3 - q**2 + 1. Let a(k) = -j(k) - 2*o(k). Find the third derivative of a(i) wrt i.\nAnswer: 3120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**2\/w**(-1\/10) assuming w is positive.\nAnswer: w**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 795 and 438.\nAnswer: 116070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2\/7 - 299518232*t\/7 - 11213896412550728\/7 = 0.\nAnswer: -74879558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwzd when four letters picked without replacement from zcwccyd?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 553786755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/(-84) - (-4)\/7. Let s be (-30)\/20 + 135\/2. Let i be (-1)\/5 - s\/(-30). Solve j = i*z - t, -5 = -5*z + 3*t + 2*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -5, 15468, -0.4, -3\/7, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 21, -44, -97, 1, -4 in descending order.\nAnswer: 21, 2, 1, -2, -4, -44, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/3 - 3272*f**2\/3 + 225492*f.\nAnswer: -4*f*(f - 171)*(f + 989)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -2\/9, -0.05, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 2*h + 20*s - 23*s, 5*s = h + 38. Let u be -69*((-3)\/3 + 0). Suppose -a = 3*c + u, 0 = c + 4*a + 28 - 5. Is c greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0 - 9\/(-3). What is the least common multiple of (-342)\/(-21) + (-4)\/14 and (-50)\/15*(-1 - l)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 123*h**2 + 602*h + 4763. Calculate c(128).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 8. Let u = 17 - r. Let w = u + 4.99999872. Round w to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114750091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25739, -26603, -27469, -28337, -29207?\n\"Answer: -q**2 - 861*q - 24877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 193020.81044 less than -1?\nAnswer: -193021.81044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101336 - 101336.239926. Let r = 0.24 + x. Round r to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77049559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 36 = -48*x + 49*x, -2*x = 3*n - 33. Put 4, 0.5, n in increasing order.\nAnswer: 0.5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 8)*(-v**2 - 5*v**2 - 6*v**2) in the form u + r*v + x*v**2 and give x.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.462 - 0.038. Let a = -35.2 - x. What is the closest to 0.1 in -4\/3, -1\/27, a, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1)*(-2)\/4. Let p = -196 - -196. Factor f - 1\/4*s**2 + 1\/4*s**3 + p*s.\nAnswer: s**2*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -8525756?\nAnswer: 1\/4262878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 12*w - 1. Let y be u(12). Let h = 3 + y. Suppose -3*i + 5*k - 11 = 0, 0 = i + h*k - 6*k + 13. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {l: 4, f: 1, e: 3, q: 9, c: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 6576716?\nAnswer: 795782636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19070313 or 19070315?\nAnswer: 19070315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 36*v = -5*v - 175056. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 616904 - -514779. Let t = a + -1131477.0748. Let n = -206 + t. Round n to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 2*k, -11 = -3*k - 5*z - 31. Let d = k - -2. Factor -1\/2*o - 1\/2*o**d + 1.\nAnswer: -(o - 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224725828*g**2 + 406080506*g wrt g?\nAnswer: -449451656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 + 1122?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16894717\/38 or -444597?\nAnswer: -444597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/4 + (-14)\/28. Suppose m = -4*o + 2205, y*m + 8*o = 3*o + 11055. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 33, 56, 81?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12368394*u**6 - 7403360*u**2 wrt u.\nAnswer: -1484207280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 2*q - 7. Let g(m) = m - 2. Let f = 11 + -4. Let r be g(f). Does 14 divide c(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13444829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -579930 and -37.\nAnswer: -579967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.303 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 706593 or 12012101\/17?\nAnswer: 706593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111 and 11?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.714 - 0.274. Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*y = -153*y - 588. Let d = 1078 + y. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13941132 is divided by 94?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -2. Let u = g - 1. Let n(j) = j**3 + 2*j**2 + 2*j + 1. Let i be n(-1). Solve 3*f + u = -i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10635352?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 99696*y + 596. Let r be u(-1). Round r to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g = -435. Let i(j) = -28 + 79 - 30 + j + g. Is i(0) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 0*d - 3*d + 12, j = -5*d + 3. Suppose 5*q - 128 - 22 = 0. Let s be 4*5\/q*6\/(-4). Sort s, 0, j in descending order.\nAnswer: j, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2564 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147 - 0?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3898151087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 3:21 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -735*t**2 - 111718*t + 370. What is z(-152)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12\/125 + 214\/375. Let q = 53 - 32. Which is the biggest value? (a) d (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, e: 2, n: 2, r: 5}. Give prob of picking 1 z and 3 r.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511101 is divided by 168017.\nAnswer: 7050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2929290 and -151\/626262.\nAnswer: 90807990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*m + 31 = 0, 5*m + 1269 - 1279 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + -2. Let x = l - -7. Suppose 0 = -y - x*c + 2, 5 = 3*y + 5*c - 2. Calculate the least common multiple of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/162 + 1\/405. Let t(p) be the third derivative of 0 + 1\/6*p**3 + 0*p + o*p**5 - 2*p**2 + 1\/24*p**4. What is t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 6*o - 4. Let m be y(4). Let a be (28497 + 2)*(m - 5). Let t be a\/(-3) - 2\/(-6). Round t to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -310 and -555.\nAnswer: 172050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:02 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -13.431335.\nAnswer: -8.431335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -713*j + 2030 = 609*j - 307*j. Suppose 6\/5*w**3 - 6\/5*w - 3\/5*w**j + 3\/5*w**4 + 0 = 0. What is w?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiririiii. What is prob of picking 2 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000033447034 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-18))\/((-12)\/(-20)*(-290)\/261)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*p - 5*r - 25, -5*p + r + 21 = 0. Suppose 2*z + 6 = p*z. Solve 0 = 3*o + z*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111363 to the power of 1\/2, to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 152593*h. Let s(m) = -272*m. What is f(s(w))?\nAnswer: -41505296*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/5)\/p*p\/(p\/(p\/(p*p**(-2\/9)*p))))\/(p**(3\/4)\/p**(-14)))**(-37))**38 assuming p is positive.\nAnswer: p**(2142041\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18.07 times -28\nAnswer: 505.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -184.7 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 7*y**2 + y - 10. Let k be d(-7). Let u(j) = j**3 + 17*j**2 - 5*j + 8. What is the tens digit of u(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17044, 17040, 17036, 17032?\nAnswer: 17028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179978766 to the nearest integer?\nAnswer: 13416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.27804144 and -1331.6963.\nAnswer: -1331.41825856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*y**2 - y + 50 with respect to y.\nAnswer: 12*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*w**2 + 20\/3*w - 22\/3.\nAnswer: 2*(w - 1)*(w + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.17922 millennia to decades.\nAnswer: 8817.922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00302645899 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*y = 20, 0*p + 2*y + 5 = -p. What is the least common multiple of 11 and 3\/(3\/5) - (p + 2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 20 - 8 - -25\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/19)*a\/(a*a**(1\/12)\/a)*a*(a**21)**(-40) assuming a is positive.\nAnswer: a**(-191131\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g - 14*g + 19*g**3 - 6*g**3 + 0*g wrt g?\nAnswer: 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 + 125 - ((-10626)\/(-88))\/7.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -603, -1004, -1145, -966, -407?\n\"Answer: 10*s**3 + 70*s**2 - 681*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*u**2 + 1 + 1927*u**6 + 3*u**4 - 5*u**4 - 1929*u**6 wrt u.\nAnswer: -240*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 5*r**2 - 8*r + 22. Let w be l(4). Let g be ((-8)\/w - -1) + (-2082)\/(-9). What is the greatest common divisor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 + 25 = -5*y. Let s = 491 - 466. What is the remainder when s is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14259 is divided by 2850.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 18309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3609 rounded to 2 decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -121809 + 0.4\nAnswer: -121808.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15803, -15800, -15797, -15794?\nAnswer: -15791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 3*g - 4, -805*r + 5 + 7 = -808*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 22*n + 11*n + 2*n**2 + 3*n**4 + 12*n + (-4 + 5 - 3)*(-25*n**4 - 3*n**4 + 4*n**4) to a*n + f*n**2 + d*n**4 + m*n**3 + q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12266, -24532, -36798, -49064?\n\"Answer: -12266*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -220*g - 194*g - 775 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by 41\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t + 1226096 - 1226129 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003874269594 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -8.8. What is the nearest to 0.1 in -2\/21, s, -4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 397, 18, 0, -6, 2 in increasing order.\nAnswer: -6, -1\/4, 0, 2, 18, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(567)*-2 - -6*(sqrt(567) - (sqrt(567) - sqrt(567)*-2)).\nAnswer: -126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1789330*b**3 + 4447947*b**2?\nAnswer: -10735980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950245 less than 0.4?\nAnswer: -2950244.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 66243437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(13)*2 - (5 + (1 + sqrt(13) - sqrt(13)))) + (sqrt(104) - (sqrt(104) - (sqrt(104) + -4*sqrt(104) + sqrt(104)))*-6)\/sqrt(8))**2.\nAnswer: -252*sqrt(13) + 5769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*p + 12*p + 7*p)*(-2*p**2 - 2*p + 2*p) + 4*p**3 - 1 - 1 + 1 as s*p**3 + y*p**2 + r + m*p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-1)\/(-1)))\/((-21)\/14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) + 273\/(-6) + 3 - (-767)\/(-4602)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 23 = -3*w - 17, w = -d + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 149, -3, -1, -3\/5, 122, -3\/8 in ascending order.\nAnswer: -3, -1, -3\/5, -3\/8, 122, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 956 and 137903.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 104.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7556679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1898*w + 1375*w - 109998 = -2175*w - 2409*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 v when three letters picked without replacement from {m: 1, a: 1, v: 2, i: 2, t: 2, p: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + z - 2*z - 3*z + (2*z + 2*z - 3*z)*(1 + 4 - 4) + (0*z + 0*z + 3*z)*(-1 + 3 + 0))*(z - 3*z - z).\nAnswer: -9*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 3*b)*(9*b**2 - 18*b**2 + 3*b**2) + 5*b**2 - 5*b**2 + b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) - 120\/(-28). Differentiate -52*i + 22 - 231*i**4 + 37*i**l + 79 + 52*i wrt i.\nAnswer: -776*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 5) in base 15?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4463*o - 2*o**4 + 2230*o - 2*o**2 + 6*o**3 + 2233*o as n*o**4 + g*o**2 + b + j*o + z*o**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.03 - -0.93. Which is the third smallest value? (a) 0.5 (b) -5\/4 (c) 10\/7 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*h - 4*i, 4*h - 8 = -5*i + i. Let t be (h + -3 - 42\/16)\/3. Is t bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4435*p - 2921*p - 1 - 7564*p)*(4*p - 10*p - 2*p) to c*p**2 + m + l*p and give c.\nAnswer: 119360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 328349119535936 from 0.5.\nAnswer: -328349119535935.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r - 2*r**2 - 9*r + 30*r**2.\nAnswer: 4*r*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {h: 1, w: 5, j: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((((u**(-44)\/u)\/u)\/u)\/u*u))\/u**12*u**(10\/13)*u**3 assuming u is positive.\nAnswer: u**(530\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17828 - 17813. Calculate the greatest common divisor of 5870 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 9 - (2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 10*n**2 + n**4 + 9*n**2 - 3*n**3 - 5 + 4 to the form b*n**2 + l + q*n**3 + c*n**4 + r*n and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1396*j - 1381*j - 90 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6134.856938 to the nearest 10.\nAnswer: 6130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -316 - 91. Suppose 30*l + 42 = z*l. Solve 0 = 4*m - m - l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.4583913\nAnswer: -0.18335652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2) + 17 - (6 + 4 - 15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4531275 - 0.2.\nAnswer: 4531274.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + w + 6, -x + 43409 - 43412 = 2*w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 4. Let b = 245 - 241. Suppose -32 = 3*a + 5*l, -b*a - 36 = a + 4*l. Calculate j(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-3416)\/5978.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(396) - 4*sqrt(704)) + 3)**2.\nAnswer: -364*sqrt(11) + 7485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2096 - -296. Let u be (r\/(-27))\/((-1)\/(-3)). What is u rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630075569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -107*r**3 - 7*r**2 - r. Let y(p) = 106*p**3 + 10*p**2 + 2*p. Give -3*k(n) - 2*y(n).\nAnswer: 109*n**3 + n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(-8 + -6 + 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2512*h - 17569. What is q(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -121*u - 4800. Is 122 a factor of y(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 718*s**2 + 715*s**2 - 1 + 2*s**3 + 2 to w*s**2 + r + f*s + u*s**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145919360 by 1058.\nAnswer: 137920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316380014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1338 - -1337. Let n = -155 - -159.04. Let v = n + -0.04. Which is the nearest to r? (a) v (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11203020 is divided by 2499.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Let f = -10 - -16. Let r(a) = -7*a**3 + 6*a + 1. Let i(u) = 16*u**3 + 3*u - 1 - 8*u**3 - 10*u. Determine f*r(t) + k*i(t).\nAnswer: -2*t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701437 is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.145 (b) -2\/23 (c) -5\/109 (d) 0.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 + 2 - 7) - (-19 + 26).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*c - 4, 2*c - 1 = -k + 3. Suppose 0 = 2*j - k*j - 10. Find the second derivative of -x - 2*x**j + 0*x - x wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from {v: 1, w: 2, c: 1, p: 2, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**5\/12 + 9*n**2. Let c(d) = -3*d. Calculate z(c(o)).\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10500 and 6375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 12:03 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 598 and 362986.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/113494 and 61\/16?\nAnswer: 907952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -19*n**5\/60 + 5*n**3 + n - 23. Let i(a) be the second derivative of p(a). Let f(t) = t. Determine f(i(h)).\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.284843 rounded to three decimal places?\nAnswer: 0.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + q**2 - q**3 + q**3 + 1. Let n be ((-2)\/6)\/(2\/(-12)). Calculate j(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 38*r - 40*r + 1509, -x - 4*r = -1493. What is the highest common factor of 1891 and x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -1\/6*v**4 - 7\/6*v**3 + v**2 + 1\/60*v**5 - 4 + 0*v. Determine d(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*(((c*c\/(c\/((c**(-6\/5)*c)\/c)))\/c*c)\/c)\/c)\/(c**(-1\/4)\/c*c**(-5)) assuming c is positive.\nAnswer: c**(241\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 10 = 8*b. Solve b*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2997096 and 31\/752?\nAnswer: 5994192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**3\/6 + 5*l**2\/2 + l. Let n be w(-3). Suppose -t - n = 1, -15 = -2*j + t. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 7 + 53. Suppose n*s + 392 = 19*s. Calculate the least common multiple of s and 64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 + 3*k**2 - 3. Let l be x(2). Let a = l - 22. What is the highest common factor of a and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 160 - 51 + 82)*(-h**2 - 3*h**2 + 2*h**2).\nAnswer: 2*h**3 + 258*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1134399327 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175 + 505. Suppose -28*f = -18*f - h. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380862 and 621?\nAnswer: 8759826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5044, 10161, 15274, 20383, 25488, 30589?\nAnswer: 35686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 2*j + 2*j)*(0 - 3 + 5)*(28*j - 8*j - 9*j) to n + o*j + q*j**2 and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (55 - (6 + 10)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 122\/9*i + 40\/3 + 2\/9*i**2 = 0?\nAnswer: -60, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22064 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 v when three letters picked without replacement from {m: 1, v: 18}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 12:49 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2709, -4262, -5815, -7368?\n\"Answer: -1553*q - 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96559452 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 4\/9, -3, 1\/3, -4\/15, 3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 3513.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 126.585 to 0 dps.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 10, i: 3}. Give prob of picking 1 f and 1 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 131581 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 6 + -3 + 2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = 2221 - 421. Let a = v + 391. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.091739 to 2 dps.\nAnswer: -3.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 13a?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31759079, -63518158, -95277237, -127036316, -158795395, -190554474?\nAnswer: -222313553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -1 (c) -192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 741\/(-8398) - 74\/(-68).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 - 328 = -4*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3144775961?\nAnswer: 83, 37888867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 593*w + 5833. Give c(-8).\nAnswer: 1089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/7 - 78*g**2\/7 + 83186*g\/7 + 250206\/7 = 0.\nAnswer: -223, -3, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111111010 (base 2) in base 5?\nAnswer: -44231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69160970401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -11. Suppose 3*q + 18 = 3*s - 0*q, 0 = -3*q - o. Let r = -539 + 549. Solve -4*a - s*b = 8, -3*b + r = 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 1. Suppose 5*w + 2 = -8. Let n(k) = -7*k + 1. Let x(u) = w*z(u) - n(u). Let r be 8\/12*(-3)\/2. What is x(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 + 8859. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 336240423 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-12) + (-58)\/(-56). Let c = 1.24 - 2.04. Put 0, 0.2, c, z in descending order.\nAnswer: z, 0.2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 plus 1472265921.8349?\nAnswer: 1472265923.6349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(171) + (1*sqrt(171) + 5 - sqrt(171)) + 2*sqrt(171)*-1) + 1)**2 + -3.\nAnswer: -24*sqrt(19) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g**3 - g + 0*g + (-2*g**2 - 1 + 1)*(4*g + 0*g - g).\nAnswer: -5*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 561536, 1123072, 1684608, 2246144, 2807680, 3369216?\nAnswer: 3930752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3 - 1152908*s**2 + 3458752*s - 2305840 = 0.\nAnswer: -288230, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 25299808 divided by 32\nAnswer: 790619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*x**4 - 4*x**3 + 153 wrt x.\nAnswer: -20*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 10 = -326*b + 329*b, -5*m - 10 = -5*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*w + r, 0 = 3*w + 71*r - 79*r - 32 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 21*p**5\/4 - 785*p**4\/4 + 1956*p**3 - 2134*p**2 - 1908*p - 324 = 0.\nAnswer: -1\/3, -2\/7, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23514*h - 6228*h + 1330561 + 1141337 for h.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1131962 and 6225791.\nAnswer: 12451582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g + 4. Let j be p(0). Suppose 5*k - j*x = -3*x + 15, -2*k - x = -6. Differentiate -3 - k*h + h - 2*h wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -r - 25. Let v = 111 + r. Suppose 4*m = -0*m + v. What is the greatest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = -2*j, -5*j - f + 6*f + 30 = 0. Suppose s = 2*o, -j*s + 9*s = -3*o + 65. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/11544 and 25\/3?\nAnswer: 11544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*1*1*sqrt(1872)*-4 + -3.\nAnswer: -2 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/sqrt(32) - (sqrt(117) - sqrt(117)*1)\/sqrt(9).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 2:19 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/(-234)*6\/(-3975)*-3. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p, -6*p = 5*o - p - 290. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4642*z**3 - 5280*z**2 + z - 12267401 wrt z.\nAnswer: -27852*z - 10560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -8.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -108383 divided by 167\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -5, 50, 159, 340, 611?\nAnswer: 990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040610 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1\/29 (b) 1 (c) -151\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 168*b - 31. Give y(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s. Let l(o) = o - 5. Suppose 4*w - 6 = 2. Let i(a) be the first derivative of -a - 7. Let c(r) = w*l(r) - 10*i(r). Calculate x(c(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iijewvwiwvijveee. Give prob of picking 2 v.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -69, -118, -185, -276, -397, -554?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33040 and 49140?\nAnswer: 11597040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -65*f**2 + 12*f - 36. Let k(r) = 38*r**2 - 7*r + 21. Let d(w) = 7*b(w) + 12*k(w). Let v(j) = -345*j**2 - 2. Give v(d(l)).\nAnswer: -345*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 1. Let f be z(-4). Solve -7*q + f = -18*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245514811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -755 divided by 2\nAnswer: -755\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iio when three letters picked without replacement from hohiipiiph.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -3, -4, 5, 30, 77, 152?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-12)\/1152)\/(1\/2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 3. Let d be w(-2). Let i be (10\/(-8))\/(d\/(-4)). Let z be 2*2\/1 - 3. Sort i, 0, z in ascending order.\nAnswer: 0, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**4 + 24*n**3 + 16*n**2 - 11*n - 11. Let q(y) = y**4 - 6*y**3 - 4*y**2 + 3*y + 3. Let j(c) = 22*q(c) + 6*v(c). Find k, given that j(k) = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8954 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 9:28 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15756 - -709051\/45. What is the common denominator of y and -56\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-7)\/((-147)\/6). Let c(q) = q**2 - 30*q + 185. Let n be c(9). What is the nearest to n in x, -3\/8, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 6*u**2 + u - 2. Let i be q(6). Suppose -4*b = -2*y - y - 33, -15 = -i*b - 3*y. Suppose 40 = 2*o + 3*o. Solve -b*w = -o*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.312 - -0.312. Which is the nearest to -3? (a) -5 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/7)*w*w)\/w*w\/(w*(w**3\/w)\/w))\/((((w\/w**(-2\/15))\/w*w)\/w)\/w**(-7\/3)) assuming w is positive.\nAnswer: w**(-214\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 59040?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 7*r**2 + r - 1. Let x be i(7). Let v(m) = m**2 + 8*m**3 - 5*m + m - x*m**2 - 9*m**3 + 3. Is v(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/33, 0.2, -1, 312, -1.9 in descending order.\nAnswer: 312, 0.2, -4\/33, -1, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 237*l**2 - 18273*l - 153. Calculate p(77).\nAnswer: -2001","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/27)\/((-1)\/3). Put 0, p, 1 in descending order.\nAnswer: 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*((-5 + -3 - -3) + 11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 5*q - 2. Let f(k) be the second derivative of k**5\/20 - 2*k**4\/3 + 5*k**3\/3 - 17*k**2\/2 + 17*k. Let g be f(7). Determine d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(20\/2))\/(13\/13)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.979141 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57506974*m - 188583434 wrt m.\nAnswer: 57506974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffiifiiiffii. What is prob of picking 2 f?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 162560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/(17\/68*2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 4 (c) 61\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 5 in increasing order.\nAnswer: -9, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -0.22?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146677164?\nAnswer: 2, 3, 23, 113, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -153*l**2 + 16*l + 6. Let z(c) = 305*c**2 - 29*c - 11. Calculate -11*j(y) - 6*z(y).\nAnswer: -147*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 35 + 35 + g**5 - 2*g**2 + 2*g**2 + ((3 - 3 + 1)*(1 + 2*g**4 - 1) + 13*g**3 - 5*g**4 - 13*g**3)*(-4*g + 0*g + 3*g).\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 6 - 3 - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438450639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1644*p**2 + 14*p + 12. Does 80 divide x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 28062664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/11)*a*a**(-4))**(-3\/22))**(4\/9) assuming a is positive.\nAnswer: a**(24\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/114 or -4\/5?\nAnswer: 17\/114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000204671173 to 7 decimal places.\nAnswer: -0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/200 and -66\/425.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -31*h**2\/2 - 337*h - 181. Let f be d(-11). Suppose 5 = z - 0*z. Solve z*c = 5, -6*g + 4*c + f = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 231*z**2 + z. Let w be o(-1). Is ((-64)\/(-10))\/(((-4)\/w)\/(-1)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 21*z**3 - 9*z**2 - 2. Let t(o) = 22*o**3 - 11*o**2 - 2. Determine -5*g(k) + 4*t(k).\nAnswer: -17*k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122898982?\nAnswer: 2, 23, 103, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263033 is divided by 1296.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2168835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/((y**(2\/11)*y)\/y*y*y))\/(y**0)**(-5)*(y\/(y*y**(-1))*y*y)**29*(y**(-1))**28 assuming y is positive.\nAnswer: y**(559\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2075*c - 255231. Give x(-123).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 3*c + 12. Suppose 0 = -0*n + 3*n + 15. Let w be u(n). What is the highest common factor of 68 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2085793\/1035 - 3488\/1035. Let o = f - 2011. Suppose -o*v**3 - 110\/9*v**2 + 98\/9 - 364\/9*v = 0. Calculate v.\nAnswer: -7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13561*x + 13561*x - 11*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*w)*(1009*w**2 - 387*w**2 + 3 - 2) + (-1 + 0 - 1)*(-w**3 + 5*w**3 - 2*w**3).\nAnswer: 1240*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*y - 329*y + 388*y - y**3 - 327*y + 604*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2495834 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.7 (b) 5 (c) 4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 85*y**3 + 3*y**2 + 513*y - 2556. Is w(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2951 = -3*z - 2*z - x, 4*z + 3*x - 2352 = 0. Suppose -z = -2*g + 301. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2167497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 16 + 4 = 0, -2*j - 28 = -4*k. Suppose -19 = -2*u + k. Let v = u + -6. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 1410*n**2 - 124947*n + 126360.\nAnswer: -3*(n - 1)*(n + 120)*(n + 351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -a807?\nAnswer: -a808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1747992 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*i - 4*n, -2*i - 3*i - 2*n + 53 = 0. What is the tens digit of 3565\/45 + (-2)\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -834 + 843. Solve 0 = -v*k + 5*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54193818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -0.841, -0.5, 1 in ascending order.\nAnswer: -5, -0.841, -0.5, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 5*r**2 - r - 1. Let b be o(5). Let v = b - -10. Let c = 11 + v. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 12*t**2 + 17*t - 8. Let c(i) = 5*i - 62. Let j be c(15). Calculate u(j).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -13113 + 6552 + 6561 + 4*d. Let b(v) = -208*v. What is b(k(w))?\nAnswer: -832*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (33 - -7 - 7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*g**2 + 1441*d*g + 2*d + 3*g**2 - 444414 wrt d.\nAnswer: g**2 + 1441*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7199 + -4071. List the prime factors of t.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v - 132 = -52*v - 46*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/37 - -85\/407. Suppose 0 = -5*y + 3*r + 57, -19 = 3*y + 2*r - 38. Sort 2, f, y in descending order.\nAnswer: y, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (45 + (9 - 78)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7323935*a**5 + 12119681*a.\nAnswer: -146478700*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16404 - 1173*y + 16404)*(-y + 0*y - 1 + 3*y).\nAnswer: -2346*y**2 + 1173*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 1. Let z(w) = -2*w**2 - 10*w + 10. Calculate 10*h(m) + z(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -8. Let q(j) = 13759*j + 13767*j + 2*j**2 - 4 - 27528*j. What is the tens digit of q(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 30. Let c be o(30). Which is smaller: c or -1\/299?\nAnswer: -1\/299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42c83 (base 13) to base 5\nAnswer: -12331043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 1\/2, -1\/12, -2\/233, 1300, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -16 - 2 - 1 + 1 - 4*w. Suppose 8*f - 9*f = 0, -4*f + 150 = -5*j. Is x(j) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850 a factor of 1657721799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 30*h**2 + 202*h - 60. Give t(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = 43 + 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 581513?\nAnswer: -581512.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (224\/(-40))\/(-2*(-2)\/(-10)). Let 33*n + v + 107*n**2 - 110*n**2 + 6 - 20 = 0. What is n?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 782 = -3*b + 815. Suppose b*l = -18*l + 45211. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1744878 is divided by 259.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 37*n = 254, -3*n + 209 = 3*w + 185 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3013, -8349, -13685, -19021?\nAnswer: -24357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - 3*c - 20 - 30 to j + l*c and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*j - 4\/3 + 2\/3*j**2 = 0 for j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - t. Let b(q) = -22*q**2 - 138*q - 128. Let l(m) = -6*a(m) + b(m). Let l(v) = 0. Calculate v.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*w = 594, -5*g - 7*w + 985 = -3*w. Let h = 196 - g. Solve -h*c + 8*c + 5*r + 20 = 0, -c + 5*r = -14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2)\/(-1)*47*69\/(-64860).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**2 + 3*t - 8 + t**2 + t**3 - 5*t - 2*t**3. Let s be u(8). Let m be s\/(-30)*10\/(-4). Which is the second smallest value? (a) 3 (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 13\/5, 59950, 4?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7954909?\nAnswer: 89, 89381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47*v + 294.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i. Suppose -n = -4*n + 18. Suppose n*m - 9 = 3*m. Let x(c) = -2*c**2 + 2*c**2 + 2*c**2 - m*c**2. Determine x(t(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*r + 475*r - 1 - 1 - 19*r**3.\nAnswer: -19*r**3 + 46*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3825293.1 rounded to the nearest one thousand?\nAnswer: -3825000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eteeuppgpten. What is prob of picking 1 u and 2 t?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -8\/7, 5 in descending order.\nAnswer: 20, 5, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 304727831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (5*sqrt(95)*2)\/(2*sqrt(720)) + -2)*3.\nAnswer: -15 + 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*h = -23, 0 = -4*q - 13*h + 9*h + 36. Let z = 66 + q. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42680*j**2*s**3 - 6302*j**2 + 6 wrt s?\nAnswer: -128040*j**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2989516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -77.8. Let b = f + -2. Let c = 8 - b. What is the closest to c in -3, -2\/11, 4\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Suppose s*v - 2*v - 15 = 0. Let h = 37 - 9. Solve -v*i + 10 = -2*n + 7*n, 5*i - 4*n - h = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 79 - 43 - 46 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642747.2t to milligrams.\nAnswer: 642747200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(0*g + 5*g - 4*g)*(1 - 1 + 1 + 1 + 2 - 5 + (1 - 1 - 1)*(-2 + 2 + 2) + 1 + 0 - 3 + 0 - 1 + 0 - 1 + 1 - 7).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/165*-5*(-42)\/4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -29*v**2 - 635*v - 78. What is m(-27)?\nAnswer: -4074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -380698, -380716, -380734, -380752, -380770?\nAnswer: -380788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(68))\/sqrt(4) + -5 + sqrt(102)\/sqrt(6))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 9:18 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 6 = -13*w. Is w less than -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 11*s**2 + 16*s - 42. Let l be x(12). Suppose -i - 120 = -l*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + (-3 - (-3 + 4)). Suppose n*t = 507 + 963. Calculate the least common multiple of t and 2.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:20 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.72\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.651242 (b) 5\/6 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(13) + 1) - sqrt(91)\/sqrt(28))**2 + sqrt(13) + (sqrt(13) + -1 - sqrt(13)) + 1 + (sqrt(13) - -4*(sqrt(13) + 2)).\nAnswer: 34*sqrt(13) + 733\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1000.1652 - 996. What is o rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - ((-3 - 1) + (-57 - -74))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000121967 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**2. Let h be 24*(8\/(-12))\/(-1). Let c = -14 + h. Let p(t) = 2*t**2 + 4*t**c - 3*t**2 + 0*t**2. Calculate g(p(o)).\nAnswer: -54*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(93\/(-10))*(-3)\/(-25)*-3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -664 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2457 and 3066?\nAnswer: 358722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 2*j - 20. Give y(-16).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 24. Let o = w + -5. Calculate the remainder when 3 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, w: 1, c: 2, r: 3, v: 2, u: 1}. What is prob of picking 1 c, 2 r, and 1 v?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2213*b + 243*b + 18 - 289*b.\nAnswer: 2167*b + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308958583?\nAnswer: 367, 841849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227478.3 + 4.4299078.\nAnswer: -227473.8700922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbykbsssbbbbbb. Give prob of picking 1 k and 1 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j + 30 = 0. Suppose 24 = 3*k - j. Calculate the remainder when 50 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/5)\/((-36)\/(-120)). What is the smallest value in 5, 1\/2, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -7. Suppose 4*p + z = -25. Let r = -15 - p. Let d(i) = -i**3 - 5*i**2 + 4. Calculate d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277826306.\nAnswer: 2, 47, 2955599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*x - 24 = 0, 3*b = -b + 39*x + 287 - 168 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*3 + -2*sqrt(352))\/(sqrt(288)*-3 + sqrt(32)*-5).\nAnswer: -5*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(198\/109323)*3114\/(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 13 + 27 - 15780*z**3 + 15888*z**3.\nAnswer: 108*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*j + 23*j + 49*j = 8349. What is the remainder when j is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 3091 - 3622 + 1253. Calculate the lowest common multiple of i and 195.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*l - 493, l - 3*l + 2 = 0. Suppose -3*f + 40*r = 41*r - 275, 4*f - 2*r - 350 = 0. Calculate the least common multiple of v and f.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6, 0 = 4*h - 2*j - 2. Sort 1, h, 12 in ascending order.\nAnswer: 1, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*g + 4, 5*y + 4*g - g = -2. Suppose -5*k + 2 = 3*p, 4*p = -5*k + y - 1. Which is the third smallest value? (a) 3 (b) k (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxox when four letters picked without replacement from oshvx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14896 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132033, 132036, 132039, 132042, 132045?\nAnswer: 132048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147.13 - 146.83. Does 1176 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/16 - 7)\/((-8)\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1308644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182478154?\nAnswer: 2, 37, 43, 57347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*c - 690 + 669 = 0, 7*q + 5*c = 35 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 4*a**2 - 2*a - 1. Let q be j(3). Let h(f) = f**2 + 4*f - 12. Let w be h(-8). Suppose -2*i - q*i = -w. Solve -i*o = -o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466587284*j**2 + 18 + 61*j - 466587284*j**2 - 61*j + j**3.\nAnswer: j**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d**2. Let p(i) = 134*i**2 + 2. Calculate p(b(x)).\nAnswer: 38726*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + g**3 - 1 + 0*g**2 - 2*g + 3*g**2 - g**2. Give h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1853.55 - 1663.7516. Let k = o + -187.8. Let h = -2 + k. Round h to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96 + 1112*s**2 + 512*s**3 - 46 - 46 - 1114*s**2 to the form w*s**3 + g*s**2 + v + n*s and give w.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247135?\nAnswer: 5, 249427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.9 + 15.546. Let j = a - -0.05. Round j to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2, 1, 0.2, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.5 + 73.5. Let v = t + -62. Which is the biggest value? (a) 1\/4 (b) 3 (c) v (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/11715, 2.12 in ascending order.\nAnswer: 1\/11715, 0.4, 2.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (-4 + 64\/20)*-25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*z + 0*z + 0*z)*(-4*z**4 + 2*z**4 - 8*z**4).\nAnswer: 30*z**5 - 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-10)*4\/20?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1997, 2550, 4049, 6968, 11781, 18962, 28985, 42324?\nAnswer: 59453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100736045 smaller than 100736042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 108*l + 5978. What are the prime factors of d(-26)?\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c + 26 = -44*c - 5*n, 0 = -4*c - 5*n - 29. Is c\/(3 - (-854)\/(-284)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 3*p**8\/56 + p**4\/2 - 14*p**2 - 24*p. Let h(r) be the first derivative of c(r). What is the second derivative of h(d) wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/880 and 107\/716452.\nAnswer: 14329040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -f + 4*f + 4, -3*l - 5*f = -26. Is l equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -698*75\/(-24)*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/6*10\/(-15). What is the tens digit of -3*(53\/(-3) - h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9*1)\/((-2)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44810 = 46*r - 103218. What are the prime factors of r?\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 155*t - 156*t - 5 + 1. Let y be k(-4). Suppose -3*o + 57 + 153 = y. What is the highest common divisor of 105 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(240\/375)\/(-8)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*c**2 + 29482503 + 4*c - 29482510 - 2*c in the form m*c + a*c**2 + p and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*k**3 - 152*k + 152*k + (3 + 1 - 3)*(0*k**2 + k**3 + 0*k**2) + (3 - 4 + 0)*(0*k**3 + 2*k**3 + 0*k**3).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2\/11 (c) 4 (d) 9255 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*u + 36. Let y(d) = 3*d**2 - 7*d - 6. Let w be y(u). What is the highest common divisor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**3\/3 + 3*i**2 - 5*i + 4. Let n be z(4). Let c be n\/(-4) + (-134)\/(-8). What is the highest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -11\/5 (b) 1 (c) -0.3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1461, 1464, 1467, 1470, 1473?\nAnswer: 1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 7*h**5 - 3 + 0*h**5 + 4*h**5 - 5*h**5 + (2*h**2 + 2*h**4 - 2*h**2)*(1 - 1 + h).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 49, 80, 113, 148, 185?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (3 + 0 + 15 + -22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011000 - -101110?\nAnswer: 1000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 460?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - s**2 - 3*s + 2. Let f be n(2). Suppose v + f = 5. Suppose -v*m + g - 3594 = -2*g, 4*g + 2888 = -4*m. Round m to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1291 - -38174927.\nAnswer: 38176218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/2 + 33367*m**4 - 2001397*m**3\/2 + 9238894*m**2 - 26014898*m + 22545952 = 0. Calculate m.\nAnswer: 2, 13, 66704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from -2139014664046.\nAnswer: -2139014664045.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9505, -19495, -29243, -38755, -48037, -57095?\nAnswer: -65935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468462785 and 735.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 99*u**2 - u + 0 + 4 + 3 - 5. Let o be n(1). Suppose -5*s + o = 2*c, 0*s - c = -s + 20. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 80*i**2 - 2. Let a(s) = -8159*s**2 + 205. Determine -6*a(r) - 615*y(r).\nAnswer: -246*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 26 + 3\/2*x**2 + 18*x - x**3. Find k, given that w(k) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-20))\/(6\/(-15))*0. Suppose q + 3*f + 234 = 2*q, 2*f + 10 = k. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 5. Determine j(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100615 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 3*y + 3. Let x(a) = a**3 + 2*a**2 + 10*a - 9. Let u(c) = -14*g(c) - 4*x(c). Let z(l) = -l**3 + l**2 - 1. Determine -u(o) + 6*z(o).\nAnswer: -2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2. Let o(x) = -4*x + 6. Calculate o(d(j)).\nAnswer: 16*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5464*p**2. Let y(k) = -k**2. Calculate y(x(h)).\nAnswer: -29855296*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.121 times -7.07\nAnswer: 7.92547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*a**3 - 1\/7*a**2 + 2\/7 - 1\/7*a**4 - 3\/7*a.\nAnswer: -(a - 2)*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 - -37. Let z = -21 - v. Let o = z - 8. Solve o*a + 12 = 3*a, 5*q = 5*a + 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93*(-4)\/(-60) - (-10 + 4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*y + 2. Let c be (105\/6)\/(-7)*-2. Let j = c + -3. Sort y, j, 0 in decreasing order.\nAnswer: j, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320280491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 26*v**2 - 137*v - 588. Give p(-30).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 22 = -4*o, 86*j - 87*j - 3*o + 11 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 943*u - 1 + 641*u + 6 - 5 in the form m*u + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 134*x**3 - 294 wrt x?\nAnswer: 402*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (102 - (8 - 7)) + (-5 - (9 + -18))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 14.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1.97082, -121?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 6*l + 2. Suppose 0 = 5*x - x - 52. Let b = -28 + x. Let r be 3*b\/(-27)*-3. Give t(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 + 3*k**4 - 2*k**4 + (0*k - 3*k + 5*k)*(16*k - 405 + 405)*(-2 + 6*k**2 + 2) to n*k**3 + v*k**4 + y*k + q*k**2 + h and give v.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuu when three letters picked without replacement from huuz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8)*(-176)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8542 - -34167\/4. What is the second biggest value in y, 3\/2, 660, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0223 times -0.2\nAnswer: -0.00446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -70*u + 161 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 66*p = 30*p + 34*p - 20, 150 = -28*o - 2*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 25 - 60 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-4 + 1 + 4)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 50636226 and -202.\nAnswer: 50636024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48653 + 7?\nAnswer: 48661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/7 of a week in days?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**4\/8 + j**3\/3 + j**2 + 1. Let k(d) = -7*d + 5. Calculate 4*k(t) - 10*w(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/65 (b) 410 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -366491480 rounded to the nearest 100000?\nAnswer: -366500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**9\/3780 - x**6\/360 - x**4\/12 + x. Let f(p) be the third derivative of u(p). What is the second derivative of f(t) wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.2342 - -2.7648. Round z to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1269\/4 + 2457\/8. Let d(n) = -n**2 + n - 3. Let r be d(3). Calculate the common denominator of p and (r\/84)\/(1\/30).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 24*h**3 + 16*h**3 + 2)*(-3 + 3 + 1)*(2*h + 0*h + 0*h)*(0*h - h + 9*h).\nAnswer: -128*h**5 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c49ba + -5?\nAnswer: -1c49bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 227 by 5.\nAnswer: 227\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 + 11687 - 98 + 20615)*(-4*m**5 + 3*m**5 + 3*m**5).\nAnswer: 64526*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxyyxxyyyyxyy. Give prob of sequence yxxx.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:14 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*f - 270*f - 18884 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 10*k**3\/3 - 36. Let f(h) = 7*h. Calculate x(f(b)).\nAnswer: 490*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(17\/5)*j)\/j**(2\/3))\/(j**(-7))**48 assuming j is positive.\nAnswer: j**(5126\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:09 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 52 + 5 = 196 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/((-2430)\/(-24)))\/((-1)\/(-5)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 2*k + 0*k)*(2*k + 2 - 2) - 71*k - 69*k**2 + 71*k + (2 - 2 - k)*(3*k - 2*k - 3*k) - 4*k**2 - 3*k + 3*k in the form g*k + y*k**2 + s and give y.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1514 take away -0.51?\nAnswer: 0.3586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 48*g**2 + 1867*g - 1036. Let x(f) = -6*f**2 - 233*f + 128. Let v(w) = 6*l(w) + 46*x(w). Let v(t) = 0. Calculate t.\nAnswer: -41, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 + 853857855.\nAnswer: 853857873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 26949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.86 and 1386.\nAnswer: 1191.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68754420 by 215.\nAnswer: -319788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1002398606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 22. Suppose 3*s = -5*b - 55, -3*s - 15 = 3*b + 18. Is n(b) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3879.454 centuries?\nAnswer: 38794.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4011 is divided by 258?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1000 + 35987\/36. Find the common denominator of m and -59\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 e when four letters picked without replacement from ieiei.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d + 137. Let s be b(-11). Suppose 24*z - 39*z = -s. Solve -v = -0*v - z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 28 = y. Let o be y\/(-10) - (-604)\/20. Suppose o*a = 32*a - 3. Sort -2, 7, a in ascending order.\nAnswer: -2, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k - 16*k - 11*k. Let m(v) be the second derivative of v**4\/6 - 11*v. Give c(m(o)).\nAnswer: -46*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0226 plus -3433637?\nAnswer: -3433636.9774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8903 + 102266. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*5*sqrt(2052))\/(sqrt(27)\/(sqrt(63)\/sqrt(7) + sqrt(9))*1))**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.2075 - 0.177?\nAnswer: 386.0305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(104) + (sqrt(104) - sqrt(104)*1 - sqrt(104)) + sqrt(104) - sqrt(104)))\/(4*sqrt(128)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*z - 36, 3*z - a = 37 - 1. Suppose -13*g + 7*g + z = 0. Suppose g*t - 410 = -3*r + r, 0 = -2*r + 4. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h**2 + 15*h**2 + 9 + 7*h**2 + 10*h**2 - 6*h - 42*h**2. Let q be (-2)\/(-7) + 174\/(-21). What is l(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.3 + 30.9. Which is the closest to -1? (a) -0.1 (b) s (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 2 - 0) + 3. Suppose 1 = -2*y + 3. Calculate the greatest common divisor of i and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5\/3, -0.1, -197, -86.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(208) + sqrt(208) - sqrt(208)*1*1 - (3 + -6*(sqrt(208) + -2 + sqrt(208) + sqrt(208))))*5*5)**2.\nAnswer: -1275000*sqrt(13) + 37710625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z*z*z\/z**(-2\/15)*z)\/z))*z\/z**(3\/5))\/(z**6\/(z\/(z\/z**(-1\/4)))) assuming z is positive.\nAnswer: z**(-163\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7244)\/(-14) - 16\/(-28).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -799, 11955?\nAnswer: -799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 72. Let u be z(21). Let s be (2\/(-3))\/((-40)\/u - -3). Solve -y + 19 = -0*a - 5*a, s*y + a = -6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1.0313?\nAnswer: -3.0939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 - 17 - 2 + 20 + c**2 - 2 - 8*c - 2*c**3 in the form q*c**3 + n*c + m + b*c**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 5*d**3\/3 + 92. Let h(b) = -20*b. What is h(c(i))?\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72.21544263 + 29.21544232. Let h = 111 + -68. Let x = d + h. Round x to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36.42 - -37. Let s = 0.539 - f. What is s rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8805251 at least 8805264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -6, -4, -26, -2 in ascending order.\nAnswer: -26, -6, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m**(-9))\/(m**(4\/11)\/m**(-21)))**(-3) assuming m is positive.\nAnswer: m**(474\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 463332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(25)\/(sqrt(25)\/sqrt(5)) - (sqrt(5) + 2 + 0)) + (-2*sqrt(180) - ((-2 + sqrt(5))*-4 - sqrt(5)))**2) + 4.\nAnswer: 448*sqrt(5) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -155*y + 153*y. Let r = y + 128. What is the second derivative of 16*f**2 + r*f**2 + 3*f - 4*f - 15*f wrt f?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(sqrt(20)\/sqrt(4))*4)\/(sqrt(45)\/sqrt(81) - 3*sqrt(20)\/sqrt(4)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4213419 = -57*j - 1399287 + 915549. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1028\/60)\/1 - 20\/150.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1 - 5 + 10 + 3*n**2 + 0*n**2 + 4*n. Determine o(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74756.\nAnswer: 2, 11, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -73. Suppose 0 = -p + 4*v + 8 - 12, 0 = 4*p - 5*v - 6. Solve q + q - p = -3*w, -10 = -z*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033993351 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -767*(5\/5 - 2). Suppose 3*c - o = -d + 465, 2*d + 3*c - 2455 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-6 - (61 + (-25 - -14))) + 11?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:02 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2.47, 12503 in descending order.\nAnswer: 12503, 1, -2.47, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) -19256 (c) -3 (d) 2\/9 (e) -4 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 19428 = 18714 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (2 + -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - c**4 + 0*c + (-3*c + 0 + 0)*(32*c**3 + 53*c**3 + 5*c**3).\nAnswer: -271*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.1 - -15. What is the closest to 0 in k, -0.5, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*x + 4*d, -8*x + 6*x + 5*d = 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0*i**2 - i**2 - 198 + 1210526*i - 1210481*i. Determine f(40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 953\/17 - 3135\/119. Is 29 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*(-12)\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 0 - 1 + 1 + 4*f. Suppose -2*b + 5*b - 6 = 0. Let z(x) = -9 + 9 + x**b. Calculate w(z(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.2216073 to 3 decimal places.\nAnswer: 15.222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 10. Let d be n(-7). Let q(t) = d*t**2 - 3*t**2 + 10 - 4. What is q(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 44*b + 42. Let o be l(21). Let z be (o + -1)*(-26)\/26. Solve -2*r = -r - z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*i - 12 = -61*i, 0 = -5*g + 4*i + 191. Solve -18*z + 11*z = g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 5. Suppose -4*r - 4*s = -48, r + 2*s + 32 = 3*r. Let t(j) = 6*j + 14. Let b(z) = r*y(z) + 5*t(z). Let m(f) = -41*f. What is b(m(x))?\nAnswer: -82*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54612 divided by -6?\nAnswer: -9102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/195999 and 67\/86370226.\nAnswer: 259110678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - (5 + -9)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 = 74*n - 214 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x. Let i(h) = 2*h - 72. Let a(l) = 2*l - 110. Let u(b) = -5*a(b) + 8*i(b). Calculate y(u(c)).\nAnswer: 12*c - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 10:40 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15294510 divided by 99315.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -64. Let n = z - 0. What is the remainder when (-2)\/5 - (-7380)\/75 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 2*n. Let w be g(4). Let z(s) = 12*s + 71. Let r be z(w). List the prime factors of 30\/r*435\/(-2).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*z + 4. Let d(m) = m**3 - 7*m**2 + 3*m + 12. Let u be d(z). Let b(j) = -j**2 - 5*j + 11. Let k be b(u). Solve -k*s = -5 - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309536, -309530, -309520, -309506, -309488, -309466?\nAnswer: -309440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72722101 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/(-85)*-5*419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, 1922, 5112, 9360, 14540?\nAnswer: 20526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -183 + 75. Let g be o\/(-4) - (1 + -1). Suppose 4*n = 5*s - g, -n = s - 2*n - 5. Solve -4*x + s = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101000101010 (base 2) to base 5\nAnswer: 203243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -94.7. Let p = l + 126. Let x = 32 - p. What is the third smallest value in 0.2, 0, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 0 - -6)\/(-1). Let b(o) = 3*o**2 + 9*o - 3. What is the units digit of b(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -9*l - 11. Let h be 40\/l - 4\/18. Let u(o) = -o**2 - 4 + 4 - 7*o**h. Let j(c) = -c. What is u(j(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c - 67. Suppose 2*h - 66 = 5*m, -11 = -6*m - 2*h - 55. Calculate v(m).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-21)\/((3 + -3)\/(-5) + -1) and 249.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -576440190 divided by 30\nAnswer: -19214673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + q)*(-23818078*q + 433*q**4 + 23818078*q + 0*q + 0*q - q**4 + (0*q**2 + 0*q**2 + 2*q**4)*(2 + 0 - 1) - 2*q**4 + 1 - 1).\nAnswer: 432*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 387*o + 6188. Determine c(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1464 or 1359?\nAnswer: 1359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 14 = -2. Let a be m\/30*-5 + -1. What is the biggest value in a, 4, 2, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = 0. Suppose -4*l = k, z*l = 2*l + 3*k. Suppose -4*i + 2 + 6 = l. Solve 3*b = 0, b + i*b = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**2 + 5*k + 4. Let r(o) = -o**2 - 3*o + 1. Let a(f) = 2*f**2 + 7*f - 2. Let p(j) = -4*a(j) - 9*r(j). Let n(z) = -g(z) - 6*p(z). Solve n(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**2 + d + 1. Suppose 2*v - 2 = 4*v. Determine s(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = -15. Let t(f) = 8*f - 6. Let l be t(y). Let v = l - 15. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21, 14970, -1 in descending order.\nAnswer: 14970, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b - 33*b - 53*b + 17*b.\nAnswer: -117*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 + 8*j - 7. Let u be n(6). Is u smaller than -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1296)\/684*3325\/350?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (214 + 3*u**3 - 212 + 0*u**3)*(7 - 6*u - 7) to the form l*u + x + t*u**2 + s*u**4 + z*u**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*u - 296*u + 358*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s = -34*s. Suppose -10*k + 7*k + 57 = s. Solve -3*b - k = 5*h, h = 6*h + 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1997 + -1841. What is the remainder when p is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -23*g**2 - 8645*g + 25790. Let y(w) = -15*w**2 - 5760*w + 17195. Let d(k) = 5*i(k) - 8*y(k). Suppose d(n) = 0. Calculate n.\nAnswer: -574, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*o**2*t**2 + 35865*o**2*t - 7265*o*t**2 - 1 wrt t?\nAnswer: 16*o**2 - 14530*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 1229973?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92630262.\nAnswer: 2, 3, 347, 44491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - i = 22, 2*n - 436684*i - 25 = -436679*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -207, -308?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2677 - -29449\/11. What is the second biggest value in -52, 0.2, 5\/3, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 3*g + 3. Let p be q(-7). Calculate the greatest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386923345*3.\nAnswer: -1160770035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-7)\/21 - 56\/12 - -10521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 2732 = 572*f - 3023 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhqqoq. Give prob of sequence hqh.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 1. Let r(u) be the first derivative of -u**3\/2 - 3*u**2\/2 - 3*u + 3. Let d(n) be the first derivative of r(n). Calculate -2*d(g) - 5*m(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20445259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369050 and 3499936.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -24, -25?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -175 (b) 8 (c) 2\/19 (d) -0.4 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3407 + 3611. Let l = 37 - 21. Calculate the lowest common multiple of l and c.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64988\/(-211)*18\/63?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**3\/6 - 23*v**2\/2 + 277*v. What is z(20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = 3*m + 20, -24 = -2*a + 4*m. Suppose 0 = 2*o - b - 7, 0*b + b = -a*o - 1. Let w = -3.4 - -3. Put o, 2\/17, w in ascending order.\nAnswer: w, 2\/17, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -50.5921, -4, 3\/5, 1\/2 in descending order.\nAnswer: 3\/5, 1\/2, -0.4, -4, -50.5921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyxxxnysyyx. Give prob of picking 1 s, 1 n, and 1 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 670*p**2 + 21*p + 119. Find the first derivative of t(x) wrt x.\nAnswer: 1340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 41.91, -3, 2?\nAnswer: 41.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223984548 less than -4.231?\nAnswer: -223984552.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 145617 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3517 or 3506?\nAnswer: 3517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6189\/5195 - 9\/1039. Let q = 0 - 1. Let z = q - -4. What is the closest to 1\/3 in 4, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 2. Let j(d) = 3*d - 6. Let n(h) = -11*c(h) + 4*j(h). Calculate n(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9165444 divided by -3055148\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*j - 23, -j = -4*t + 5*t - 1. Suppose -4*u - 5 = 3, 2*u + 644 = t*p. What is the remainder when p is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 105.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*r = 3, -5*y + 3 = -3*y + 3*r. Let h = 22 + -15. Let x = h + -3. What is the least common multiple of y and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6271239487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oli when three letters picked without replacement from {m: 1, i: 1, l: 1, c: 5, o: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -5*v**5 + 5*v**4 + 5*v**3\/3 + 83. Determine a so that f(a) = 0.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 125)*2871\/5742\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/6512968 and 59\/9506?\nAnswer: 45590776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/((-27)\/(-54))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1480 divided by -37\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-16)*m)**(28\/3) assuming m is positive.\nAnswer: m**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29422, 10, 4, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*q**2 + 4585*q - 4585*q + 1 as j + z*q + f*q**2 and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25024bd + -4?\nAnswer: -25024c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105564 is divided by 738?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 40301 = -137*k + 2656. Solve -k*p = -350*p + 51 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -3*s + 3*o - o, -4*o - 8 = 0. Let h = 1819 + -1818. Which is the smallest value? (a) s (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -28 - 42. Let p = 30 - m. Let y be (-2)\/(5\/(-50)*p). Let a(r) = -r**2 - 7*r - 5. Determine a(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 - -12.4. Let o = c - 11.05. Round o to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from simi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9772 and -479?\nAnswer: 4680788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**2*o**4 + 97962*j**2*o**3 + 659*j**2*o - 2*j*o**2 + 6*o - 37 wrt o?\nAnswer: 96*j**2*o + 587772*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8) + 1334\/(-56) + -3)\/((-1668)\/3892)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*3)\/1*1. Let x(z) = -z**3 + 39*z**2 - 37*z - 27. What is the remainder when (-123)\/w*-1*2 is divided by x(38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9 - 518\/(-21). Let d = x - 24. Are d and -2\/65 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4176\/(-116))\/(3*20\/(-30))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 14*c**2 - c + 7. Determine v(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013341 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1480)\/(-1776))\/((-10)\/(-6))*-42?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/33? (a) 2\/5 (b) 0.3 (c) 6 (d) -17.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9239192 to four decimal places.\nAnswer: 0.9239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 300 + -219. Let a = s + -76. Solve -2*n + 5 = -a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**3*p**3 + 2*g**3 + 5*g**2*p**2 - 101*g*p**4 + 2*g*p**2 wrt p.\nAnswer: -18*g**3 - 2424*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Suppose 4 + 6 = -l*h. Is ((-1)\/h)\/((-7)\/(-154)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let d be k(0). Suppose 4*z - 15 = -z. Suppose z*f = -d*f. Let c(i) = -i + 1. Give c(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:22 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 19*y**2 - 25*y - 90. Determine o(20).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -3*r - 0*r - 1, -3*r + 4*p = 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1241 + 1264. Solve v*b - 69 = 46 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -12 - 0 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*s + 21 = -50 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = v, -4*h - 12*v + 29 = -15*v. Solve h*r + 20 = 13*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -7 (c) -1 (d) 16 (e) -2\/81\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + o**2 + 50. Suppose 0 = 12*k + 9*k - 17*k. What are the prime factors of z(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*-0.0001.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 17*i**2 + 15*i + 62. Let h be j(18). Solve h*s = -5*m + 3*s + 15, s = -1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 10)\/(0 - 1). Let t be (-6)\/(6\/(-63)*l). Let a be 1*3*(-14)\/t. Solve 2*h + 4*o - 4 = 0, 3 = -5*h + a*o + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-3)*63\/2520\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2812 - -2811. What is the nearest to 2 in m, 3, 4, -0.08?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 85*c**2 + 158*c + 641. Is x(-72) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -540 + 674. What is the highest common divisor of 1273 and p?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 49*r**2 + 144*r + 54. Calculate the least common multiple of h(-6) and 288.\nAnswer: 15264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 520 = 2*k, p - 6*p + k = 2573. Let i = 518 + p. Let x(j) = -j**3 + 2*j**2 + 4*j + 4. What is x(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 123, 189, 247, 291, 315, 313, 279?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u - 2*u - u. Let p be -3 + (2 - -5) + 2. Let f(x) = 0*x + p*x - 9*x + x. Determine f(i(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -302 + 301.8. Which is the nearest to 0.1? (a) z (b) 1\/11 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 + 12. What is the remainder when l is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 205\/100 + 1\/(-4) and 117\/24 + (0 - -4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from fqqlr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/550)\/((-6)\/(-20)*-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/15)\/(1392\/80 + -17)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, -0.093, -2, 8, -9\/4, -0.15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**8\/840 - c**5\/40 - c**3\/6 + 4*c. Let z(g) be the second derivative of w(g). Find the second derivative of z(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqhpppqpph. Give prob of picking 1 h, 1 q, and 2 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 43\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1634263\/112 - -29185\/2. Let y = 341\/8400 + n. What is the common denominator of -16\/135 and y?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 16. Let o be j(-12). Suppose 2*y + o = -2*y. Let i be 0\/(3 - y) + 4. Solve f + i*f = 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1171 + 1687. Let z(p) = h*p - 2*p**2 - 516*p. Let l(k) = k**2 + 7. What is z(l(t))?\nAnswer: -2*t**4 - 28*t**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 143*k - 946. What is the hundreds digit of u(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2*(-40)\/32.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 2:47 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9665 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77185182 and 1406?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/1 + 1\/(-4). Let m(v) = v**2 - 13*v + 14. Let d be m(12). Is d less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -387895*l**5 - 4*l**2 - 2635*l + 5 wrt l?\nAnswer: -23273700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/51, -1\/4 in increasing order.\nAnswer: -1\/4, -2\/51, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -0.08?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppxxpxppxppxpppxxxx?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -22*c + 77*c - 10*c - 10*c - 15*c. Let f(z) = -2*z**2 + z - z. Give f(b(r)).\nAnswer: -800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 2}. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - v**2 + 5*v**2)*(0*v**3 + 5*v**3 - 3*v**3) - 11*v**2 + 15*v**5 + 11*v**2 + (-3*v + 3*v - 6*v**2)*(1 - 1 + 3*v**3).\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 2. Let r be s(0). Suppose 3*z + 2 - 17 = 0. What is the greatest common factor of z and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 14. Let o be p(-16). Suppose -2*x = -7*x + 2*s + 64, -49 = 7*s. What is the highest common divisor of x and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368185111 to the nearest integer?\nAnswer: 19188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4641)\/39)\/(-1666)*12\/(-19)*-1)\/(-3)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6867.6 and 34.3.\nAnswer: 6901.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 30*d**2 + d + 33. Determine p(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - 50*w + 51. Let g(o) = 2*o**2 + 26*o - 25. Let v(d) = -7*g(d) - 4*u(d). Let y be v(7). Sort y, 5, -31.\nAnswer: -31, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -207, -1, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 2*t**2 - 11*t**2 + 70*t**2 - 3*t**3.\nAnswer: -3*t**3 + 57*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 714\/63*((-40)\/5)\/(160\/60).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 905, 4102, 9641, 17528, 27769, 40370, 55337, 72676?\nAnswer: 92393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/27 and (6\/368)\/((-7050)\/(-888) + -8).\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74644.\nAnswer: 2, 18661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-4)\/10)\/2). Suppose -2*z + 126 = y*k, -3*k - 42 = -5*k + 2*z. Suppose -c + k = 2. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**2\/2 + i - 2. Let x be t(-1). Factor -2\/3 + 2\/3*f**3 - 2\/3*f + 2\/3*f**x.\nAnswer: 2*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24808, -99212, -223210, -396802, -619988, -892768, -1215142?\nAnswer: -1587110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssoz when four letters picked without replacement from {f: 2, u: 2, z: 6, o: 4, s: 3}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:17 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111592 and 592.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8588 and 1621612?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, w: 1, v: 12}. Give prob of sequence vwv.\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q. Let g(f) = 19*f - 13. Let v(k) = 3*k - 2. Let t(i) = -6*g(i) + 39*v(i). Let d(l) = -3*o(l) + 6*t(l). Let n(s) = 2*s. Determine n(d(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, a: 5, y: 3, r: 1, e: 6, p: 2}. What is prob of sequence rya?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t. Let c(u) = -22 - 28 + 3*u - 8*u + 52. Determine c(d(f)).\nAnswer: 15*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-14 - -5 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 254*a - 224*a + 3*a**2 - 41*a - 3 + 2 + 1299*a**6 wrt a.\nAnswer: 155880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.476 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 19, -8 in ascending order.\nAnswer: -8, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -6. Suppose -77 = -5*j + a. Let s = 27 - j. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -1145, 1 in increasing order.\nAnswer: -1145, -83, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (1*sqrt(1331))**2 - (-2 + (sqrt(1331) - 1*sqrt(1331)))) - (1*(3*sqrt(1331))**2 + sqrt(1331) - (1 + sqrt(1331) + -5)).\nAnswer: -18653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -529 + 544. Suppose 9*i - 4685 = 13*i + z, h = -3*z. Round i to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/60 + z**3\/2 - 42*z**2. Suppose 0 = -2*j - 6 - 0. Let g be m(j). Solve g + 3 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000677 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5 - 108*d - 9*d + 5. Let p(h) be the third derivative of h**5\/60 - 368*h**2. Determine a(p(q)).\nAnswer: -117*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*((-2)\/10)\/((-6)\/570). Is 18 a factor of 2\/q - 2373\/(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*i = -133*i - 136*i - 34201. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 495771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -100444?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24853955136+-9\nAnswer: 24853955127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.7 or -10?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 105979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 165007847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:14 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {w: 3, n: 2, s: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 168920 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 1. Let n be (p\/5)\/(-1)*-15. Let s(c) = -c**3 - 5*c**2 + 8*c + 7. Let z be s(n). What is the nearest to 2\/7 in z, -1\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1234694905 divided by -246938981\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1246873, -1246885, -1246897, -1246909, -1246921, -1246933?\nAnswer: -1246945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -876984\/79 - -11101. Let w = 10 + -11. Is r <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 522551\/266 or 1965?\nAnswer: 1965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1215) - sqrt(1215)*2*-1)\/(sqrt(21)\/(-2*-1*sqrt(7)))*2)**2.\nAnswer: 58320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546060, -1091814, -1637270, -2182428, -2727288?\nAnswer: -3271850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -193 - -197. Put a, 2, 10 in increasing order.\nAnswer: 2, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.3 - -5.6. Let m(i) = -i**3 + 6*i**2 - 5*i + 4. Let w be m(5). Which is the closest to -1\/3? (a) -1\/8 (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -3\/4*r**4 - 1 + 0*r**2 + r**3 + 0*r. Factor u(s).\nAnswer: -3*s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**6\/180 + 35*n**3\/6 + 37*n. Let q(j) be the second derivative of i(j). Let w(x) = -19*x**2. Calculate w(q(c)).\nAnswer: -76*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 7. Suppose 0 = 5*r - 25 - q. Find the third derivative of 3*h**2 - r*h**2 + 3*h**6 - h**6 wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4316 is divided by 4305?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 99171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3804.2267335377 from 0.04.\nAnswer: 3804.2667335377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 16*k - 80. Let l be m(7). Calculate the greatest common divisor of l and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 14*t - 10. What is the units digit of y(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 656, 653, 650?\n\"Answer: -3*n + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 + (-1 + 0 + 2)*(2 - 1 + 0))*(-9645993 + 9645993 - 4365*y).\nAnswer: -8730*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 275, 553, 829, 1103, 1375?\n\"Answer: -t**2 + 281*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 12, -4, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 0 - 12\/(-6). Suppose v = 2*n + n + 5*u + 19, 25 = -5*u. Solve 5*r = n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, -186, -742, -1822, -3600?\n\"Answer: -29*b**3 - b**2 + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 12*h**2 + 36*h + 4. What is the remainder when y(-5) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0155102 weeks in minutes?\nAnswer: 156.342816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 16, -1\/2, 0.19, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(19) - sqrt(76)\/(sqrt(4)*-3)))**2.\nAnswer: 8*sqrt(19) + 385\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 15 = -6*w. Suppose 0 = 4*y + 5*a - 31, -3*a + 21 = w*y - 2*y. Solve -y*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -4, 1086, -32, 17, 0.\nAnswer: -32, -5, -4, -1, 0, 17, 1086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(847)*1 - (-4 + sqrt(847))*5)**2 - (-1 + 6*1*-4*sqrt(847))**2.\nAnswer: -473792 - 2552*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 greater than or equal to 2814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -168*i**2. Let u(j) = -j**2 + 13*j + 1. Let f(y) = -52*y**2 + 507*y + 39. Let r(z) = f(z) - 39*u(z). What is r(k(a))?\nAnswer: -366912*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b - 4*b**2 - 6*b - 46 + 13*b to y*b**2 + f*b + a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-15))\/(-5 - 2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*j - 918, 5*a - 3723 = -5*j + 887. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8137 - 0.060626032.\nAnswer: -8137.060626032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 19 = -20. Suppose j = i - 15. Let k = -4215 - -4223. Calculate the least common multiple of k and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 70\/1707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7780.635ns?\nAnswer: 0.0000000021612875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttjjjjtjtt. What is prob of sequence ttt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7*g = -18. Let w be (-6)\/(-24) - 2\/8. Solve 7 = -2*v + g*f - 1, -f + 2 = w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/120 - u**5\/12 + u**4\/24 - u**3 - u**2. Let y(f) = -6*f + 4 + 1 - f**2 + 17*f - 8*f. Let n be y(5). What is w(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.004? (a) 3 (b) -1.49 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/25112 and -137\/226008.\nAnswer: 226008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q + z = 22*q - 3*z + 21, 3*z = 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 101918*j - 6006200.\nAnswer: -2*(j - 50900)*(j - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 37783773 - 37783773. Let r(v) be the third derivative of v**5\/2 + v**2. Determine s(r(d)).\nAnswer: -1800*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/64 + 0 + 6\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 4*j = -d + 28, 4*j = -5*d + 224. Suppose x + d = 3*x. Suppose 0 = -9705*o + 9628*o + 1540. What is the least common multiple of x and o?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 59.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(512) + -3.\nAnswer: -3 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85626 + 28528 + 28530 + 8*c**3 + 28568 - c + c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111 - 34. Suppose n + n - 30 = -4*l, n - 5*l = -13. What is the least common multiple of n and a?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -2*f - 40, -4*f - 5945*a - 44 = -2972*a - 2972*a for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Suppose 0 = -a - p - 1, 5*a - p + n - 12 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 11) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 528.65, -669, 1 in descending order.\nAnswer: 528.65, 1, -669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 23 - 34. Let h(t) = 4*t**2 - 6. Let v(d) = -9*d**2 + 11 + 3*d - 3*d. Let x(r) = i*h(r) + 6*v(r). Let j(z) = -2*z. Give x(j(g)).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 take away -86.79?\nAnswer: 86.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbbbvbvzrvvvv. What is prob of picking 1 b and 1 v?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3408, 3413, 3432, 3471, 3536, 3633, 3768?\nAnswer: 3947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.219 - 3.581. Let t = 46.7 - p. What is t rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/12 + (-11744732)\/(-1844760). Let q = s + 2\/15373. Calculate the common denominator of q and 133\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + (2 + sqrt(931) - sqrt(931))))**2 + (sqrt(931) - (sqrt(931) - (sqrt(931) + (-3*sqrt(931) - sqrt(931) - sqrt(931)) + -2)))*4 + -4.\nAnswer: -112*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/19, -8\/255, -3, 3 in decreasing order.\nAnswer: 3, -8\/255, -1\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445189.\nAnswer: 19, 23431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3584 and -41\/1577536?\nAnswer: 88342016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -49.594 and 19?\nAnswer: 68.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2201371 is divided by 7834?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5043867 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -585, -1151, -1717?\n\"Answer: -566*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 2.92 (b) -0.03 (c) -0.4 (d) 2\/5 (e) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Let u = j - 5. Let n(q) be the third derivative of q**5\/60 + q**4\/6 - q**3\/6 + 5*q**2. What is n(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*q - 44, 2*t + 2*t = 2*q + 34. Suppose 0 = -5*k + 9*k - t. Solve 0 = -f - k*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21637609 + 1904145447\/88. Let l = r - 3249\/8. Find the common denominator of (-2)\/(-3) + 860\/(-192) and l.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 17. Let g be 30*(-2 + o\/(-8)). Factor 1\/2 - 25\/2*h**3 - 7\/4*h**5 + 10*h**2 - g*h + 15\/2*h**4.\nAnswer: -(h - 1)**4*(7*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(85)*-2 - -3*-2*sqrt(85))\/((6*sqrt(360))\/sqrt(2)))**2.\nAnswer: 68\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2105 times -4\nAnswer: 8420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:56 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - -1?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*x - 330*x - s = s + 22, s - 7 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66291*n**2*z**3 + 2*n**2*z**2 + 2*n**2*z + 3*n**2 - 48296*n*z**3 + 3*n*z**2 + 2*z**2 wrt n?\nAnswer: 132582*z**3 + 4*z**2 + 4*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 4. Let k be i(-3). Suppose 5*f - 8 - k = 0. Suppose -5*b + 4*v = -25 + f, 2*v + 22 = 4*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/(-16))\/((-6)\/4). Let b = 4 - j. Calculate the highest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*((sqrt(200)*1 - sqrt(200)) + -1 - ((sqrt(200) - (sqrt(200) - (sqrt(200) + -1 + sqrt(200)))) + 5)))**2.\nAnswer: -14850 - 3600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-5))\/((-4)\/(-10)). Suppose 2*z - 192 = -2*a, -2*z + k*z - 4 = 0. List the prime factors of a.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225412 (base 6) in base 10?\nAnswer: 19376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let m be (382 + -383)*(0 - 1)*0. Solve -5*o = -r*y - 23, 3*o - 5*o + 10 = m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 + 30*l**2 - 6*l**2 - 8*l**2 - 10*l**2 to the form b*l**2 + g*l + m and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11\/(h\/(h*h**(-1))))**(-33) assuming h is positive.\nAnswer: h**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -7622\/12027?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10952494129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/6)\/((-4970)\/(-2130))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001180370733 to five dps.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*4\/(-64)*364\/(-7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5080\/7 + 726. What is the closest to -2\/5 in a, 0.8, 0.3, -21\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 328 = -2*a - 662, -c = 5*a - 198. Suppose 5*n - 623 = -c. Suppose -5*q = n + 160. Round q to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 352 + 39 = 114*i + 222, 2*i - 3*i = o - 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*9\/(-5))\/33 + -2 + (-5)\/(-3)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*m - m + 12, -5*u = -m - 20. Suppose -u = 4*h, -2*h = 4*d - 6*h + 24. Is -7 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 2. Let g be 1\/(2 + (-57)\/28). Let a = -10 - g. Calculate the lowest common multiple of l(6) and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.58 + 0.54024. Let b = -427 - -426.958. Let s = b - m. What is s rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1896 and -47\/40230.\nAnswer: 12712680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70)\/120 + (-171)\/(-76) + (-1402448)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 2. Let s(h) = 1487*h - 4. Calculate s(g(r)).\nAnswer: 2974*r - 2978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:15 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(1\/3))\/t)\/t)\/t**(2\/9))\/(((t*t**(3\/7)\/t)\/t)\/t**6) assuming t is positive.\nAnswer: t**(316\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 7. Let c(q) = -16*q + 70. Let l(b) = 2*c(b) - 20*h(b). Let d(o) = 98*o**2 - o. What is l(d(i))?\nAnswer: 784*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2 = -3*g, 4*t + 3 = g - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rivztht. What is prob of sequence viih?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (33\/9 + -3)\/((-2)\/(-60)). Suppose -145 = -5*n - v. Determine c, given that 8\/5 + 5*c**3 - 52\/5*c + 18*c**2 - n*c**4 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-8)\/(-4)*(-1)\/216*4)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*k + p, -3*p + 133 = -0*k + 5*k. Calculate the remainder when k is divided by 3*(20\/12 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 + -145. Let t = -23 - u. Let q = -0.75 + -30.25. Put q, -1\/3, t in decreasing order.\nAnswer: -1\/3, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98158620 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: Let n = 6 - 2. Suppose 5 = 2*l + o, 2*l - n*o - o - 11 = 0. Sort -1, 2, l in descending order.\nAnswer: l, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -b + 14, 0 = 2*w + 4*b - 7*b + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 37*b**2 + 20*b + 36. Let n be x(-18). Solve 0 = -2*v - n*v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211.91 times -0.04\nAnswer: 8.4764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - 63) + (10 - -2) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76182528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + 11*d**2 - 2*d - 4*d**2 + d.\nAnswer: 7*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = 0, 2*h - n + 11 = -4*n. Suppose 15 = 4*c - 2*c + 5*v, -3*c + 13 = -h*v. What is the units digit of (c - 2) + -2 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 52*l**3 - 5*l**2 - 2*l + 19. Let h be j(3). Suppose 151 - h = -11*b. Calculate the remainder when b is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/7915286 or 0?\nAnswer: 3\/7915286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (20 + -4)) + (14 - 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/27)*f)\/f**(4\/5)*(f\/f**0)**(3\/26)*((f\/(f\/f**9*f*f))\/(((f*f*f**(1\/12))\/f)\/f))**(2\/55) assuming f is positive.\nAnswer: f**(28819\/19305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 5. Let s be a(-8). Suppose -f + 30 = s*h + 4*f, 5*f = 2*h + 5. Solve h*v - 4*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -2\/3*f**3 + 67 + 0*f**2 + 59\/2*f**4 + 185*f. Differentiate b(r) wrt r.\nAnswer: 354*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 - -3 - (23 + -14 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43213520?\nAnswer: 2, 5, 7, 77167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-510)\/(-20)*(-4)\/6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166729891.\nAnswer: 53, 101, 31147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 326 (c) -123800\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/2 (b) 63\/8 (c) -0.15 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:50 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-90 - 24 - 97)*(11*f**2 - 1411 + 1411) to the form h + j*f**2 + l*f and give j.\nAnswer: -2321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t**1\/t))\/t)\/t*t*t**(1\/2))**0)**(-37) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 e when four letters picked without replacement from {e: 6, k: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 8:38 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0.4. Let h = 28\/15 - 11\/5. What is the third smallest value in f, -0.5, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*g + 679*q - 674*q, -q = -3*g - 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453, -3546, -11933, -28260, -55173, -95318?\nAnswer: -151341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 7*m**2 + 2*m**3 + 10*m**2 - m**3 - 2*m**4 to the form a*m**3 + p + l*m + v*m**4 + c*m**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -12. Let j = d - -5.1. Let i = 7 - 8. Which is the closest to i? (a) j (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 287.9845 + 0.0155. Let f = o - 287.1. Let k = 4.1 - -0.9. What is the third biggest value in -3, f, k, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -h - 10. Let a be (-6)\/h + (-122)\/(-14). What is the highest common factor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 534 and 3382?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*d - 142*d + 421*d - 150*d.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 0)*(3*n + 2*n - 4*n)*((0 + 0 + 3)*(-4 - 4 + 5) - 22 + 119 + 94) to the form c + t*n and give t.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1084 + 1074 - 2586*g**5 + 1416*g**2 - 2158 wrt g?\nAnswer: -155160*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 + 648\/2121. Let g = t - -4131\/505. What is the common denominator of g and (-73 - 0)*(-7)\/(-21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -9)*1\/2. Suppose -60 = -4*v + f*g, -4*v - g + 29 = -31. Solve -4*o - 36 = 4*a, v = -0*a - 3*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 940*g - 40256.\nAnswer: 4*(g - 37)*(g + 272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*i + 2566 = -2171 + 747 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 458*h - 12200. Let q be i(120). Calculate the greatest common factor of 40 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11234 is divided by 71?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1170183 is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 12 - 18)*(z**4 - 7*z**4 + z**4) - z**2 + z**2 - 2*z**4.\nAnswer: 233*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b*b**(-1\/7)*b)\/b*b))\/((b*b\/(b\/b**(1\/29)))\/b*b) assuming b is positive.\nAnswer: b**(-587\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -108.8 and -5?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 628032.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v + 2. Let i(a) = 5*a + 5. Let w(z) = z + 1. What is v*i(j) - 3*w(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 10*i + 11. Let c be m(9). Suppose -c*u + 40 = 2*z, z = 2*z - 2*u - 5. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - 93803\/(-7) - (-15)\/(-35).\nAnswer: 2, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/59, 0.02, 5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 4. Let y(u) = u + 2. Let l(v) = -2*t(v) - 5*y(v). Let o be l(10). Let p = -3 + o. Which is the second biggest value? (a) p (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1609616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -656*u**3 + 2*u**2 + u - 5. Suppose -2 = 58*q - 57*q. Is d(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**3 + l**2 - 1. Let k be d(1). Let h(w) = -2*w - 19. Let q be h(-11). Are k and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35513647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5243 is divided by 1041.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + v = -63, -2*z - 39 = -5*v - 98. Let b be z\/18 + 4*3\/54. Let l(r) = -319*r - 2 - 22*r**b + 319*r. Let c(w) = -w**2. Determine l(c(p)).\nAnswer: -22*p**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2013201 (base 4) to base 7.\nAnswer: -34200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -42*z**3 - 56*z**2 - 56*z - 56. Let x(v) = -v**3 - v**2 - v - 1. Suppose -3*a = u + 65, 0 = u - 5*a + 42 - 1. Give u*x(i) + g(i).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgb when three letters picked without replacement from {o: 2, x: 4, r: 2, y: 3, g: 2, b: 2}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -574464 minus 1819.59?\nAnswer: -576283.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/13 + 1137224*d\/13 + 699840 = 0.\nAnswer: -8, 568620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15197580, -30395141, -45592702, -60790263, -75987824, -91185385?\n\"Answer: -15197561*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 7) in base 14?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*x + 12 = -126*x, -2 = -3*z + x. Let m(s) = -4026*s**2 + 231*s - 231. Let y(d) = -35*d**2 + 2*d - 2. What is z*m(l) - 231*y(l)?\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - 0.069. Let j = f - 0.631. What is j rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cb2a (base 14) to base 8.\nAnswer: -217502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {h: 1, w: 1, b: 1, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/432 and -127\/9612.\nAnswer: 38448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2866 + -21549\nAnswer: -18683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 a, and 1 r when three letters picked without replacement from ssvavsasrlsaaya.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 248*d - 39*d + 6*d to the form n*d + s and give n.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9822377 - -5?\nAnswer: -9822372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:49 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031984871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**6\/105 + a**5\/70 - a**4\/14 - 5*a**3\/21 - 2*a**2\/7 + 40*a. What is h in v(h) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**2 - 2*l - 4. Let d(q) = 1 + 0 - 6*q + 3*q + q. Let z be d(1). Let s(k) = -k**2 + k + 1. Calculate z*w(v) - 4*s(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -353, -707, -1063, -1421, -1781?\n\"Answer: -c**2 - 351*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) -2\/9 (c) 5 (d) 7 (e) -0.2 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/2, -1\/10, -38?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2401134121 (base 5) to base 6\nAnswer: -313400131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107464136 to the power of 1\/2, to the nearest integer?\nAnswer: 10366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 3600178 and 3600173 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -70. Let w(s) = -2*s**3 + 10*s**2 - 17*s + 17. Let z(n) = 3*n**3 - 21*n**2 + 33*n - 34. Let a(y) = v*z(y) - 5*w(y). Is a(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392 + 6*5\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 397*t**3 + 210*t**2 + 4*t**4 + t - 397*t**3 to u + c*t**4 + o*t**3 + n*t + y*t**2 and give y.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttuttttttttttt. What is prob of sequence ttuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 14*r**3\/3 - 220*r**2\/3 + 328*r\/3 + 112\/3 = 0.\nAnswer: -2\/7, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 55*r - 32. Let u = 31 + -22. What is the remainder when u is divided by n(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p - 4. Suppose -141 = -14*m + 11*m. Let g = 44 - m. Determine q(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:07 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9*v**2)\/(((v**(-2\/47)\/v*v)\/v)\/((v**(2\/23)\/v)\/v*v)) assuming v is positive.\nAnswer: v**(12031\/1081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k*k**(-23)*k)\/k)\/k)\/k)**0*(k*k\/(k\/((k*k**8)\/k)*k*k))**17 assuming k is positive.\nAnswer: k**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a + -51563?\nAnswer: -51527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, k: 6, a: 6}. Give prob of picking 1 k and 1 r.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**19\/(b\/b**(-1\/4)))**(-50) assuming b is positive.\nAnswer: b**(-1775\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 228 + 693 + 1768*d**4 - 230 - 5793*d**4 + d - 237 to i*d + a + s*d**3 + b*d**4 + x*d**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 14312.085 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p*p**22*p*p\/(p\/(p*p*p*p**30)))\/((p\/(p*p**(-29)))\/p)**19 assuming p is positive.\nAnswer: p**(-472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 3, o: 1, e: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (663\/36)\/(-17) - (-2)\/(-3). Put y, 1\/9, -1\/3, 0.4 in descending order.\nAnswer: 0.4, 1\/9, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 40 = 5*q, -78*l + 28 = -83*l - 2*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + o - 4 + 22 - 17 - 8.\nAnswer: o - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**3 + 3*p**2 - p. Let d be (-45)\/(-10) + (-3)\/(-6). Let i(g) = -7*g**3 + 4*g**2 - 2*g. Give d*f(r) - 4*i(r).\nAnswer: -2*r**3 - r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 270 = -0*o. Factor o*q**2 + 2*q**3 - 54 + 68*q - 14*q - 72*q**2.\nAnswer: 2*(q - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -491.\nAnswer: 196.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7523*m + 4*m**3 - 7523*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*z - 4*a - 27, -22 = -4*z + 2*a. Let b(o) be the second derivative of 0*o**z - 1\/12*o**4 + 0 + 0*o**2 + 8*o. Let p(k) = -k**2. Determine b(p(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -4*u - 24, -u = 3*f + u - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 10\/(-36)*-2636. Let s = 735 - g. Which is the nearest to 4? (a) -5 (b) 0.6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1937*k**2 + 510*k**2 + 603*k**2 + 758*k**3.\nAnswer: 758*k**3 + 3050*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-94)\/(-84) + 0 + 2 - 3. Let y = p - -3\/14. Which is the smallest value? (a) 3 (b) 5 (c) y (d) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3277, -3273, -3267, -3259, -3249?\n\"Answer: p**2 + p - 3279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169360 and 32704?\nAnswer: 4742080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4347, 8697, 13049, 17403, 21759, 26117?\n\"Answer: u**2 + 4347*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 831 = -2*g + 839. Solve -b - 5*n = -9 - g, 2*b + 3*n - 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 23*i + 17*i - 2 - 5. Let w be k(7). What is the closest to w in -3\/5, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3644031?\nAnswer: 3, 227, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 160, 333, 580, 901?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2. Let n(i) = -i - 1. Let c(w) = 6. Let y(j) = c(j) + 6*n(j). Determine y(f(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 26044245?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2076 is divided by 517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316101 is divided by 52506.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqc when three letters picked without replacement from {c: 9, q: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9444 (b) 0.6 (c) 1 (d) -1\/4 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6039070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*x = -3*c + 10, -4*c = -x - 17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0112 + -0.1112. Which is the biggest value? (a) 16 (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 0*v**3 + 1\/84*v**8 + 2\/3*v**5 + 1 + 0*v + 1\/10*v**6 + 0*v**4 - 4\/35*v**7 - 14*v**2. Factor h(y).\nAnswer: 4*y**2*(y - 5)*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25170 (base 9) to base 5.\nAnswer: 1020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-781)\/142).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-134082)\/12*3*1\/60. Let g = 5359\/8 + y. Let z = 504\/5 - g. What is the common denominator of z and -117\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/3084774 and 37\/10936926.\nAnswer: 120306186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 210 = 4*t - 2*m, 726*t - 177 = 729*t + 5*m for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 221211592 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21741, 3, 604 in increasing order.\nAnswer: -21741, 3, 604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h. Suppose 0 = -2*w + 3 + 5. Suppose 0 = -q + 3*v - 5*v + w, 2*v = 0. Let m(d) = d - q*d + 2*d. What is m(u(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29834134067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 8:56 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 221839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodprdxorroxdrxmr. What is prob of picking 2 x?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62.86609 and -0.01.\nAnswer: -0.6286609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1209 + -0.1207286. Round q to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 827.\nAnswer: 5, 7, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:35 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -13*n + 7. Calculate l(6).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z - 4. Suppose 4*x - z*x = 588. Find the common denominator of -27\/16 and (-3)\/3 - x\/66.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(sqrt(304) + -1)**2 - ((sqrt(304) - (-1*sqrt(304) - sqrt(304)))**2 + -5 + -4).\nAnswer: -120*sqrt(19) + 1848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 510818*m**3*y - 10*m**2*y - 8*m**2 - 37*m*y + 14*y wrt m.\nAnswer: 3064908*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (-845)\/(-52))*552\/(-18)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17569869 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1630*o + 1485 = -1585*o for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3 - 19007*a**2 - 74734*a?\nAnswer: 18*a - 38014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 5*h**2 - 4*h + 2. Give o(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130\/4211249 + 4244479972879\/227407446. Let t = -18664 + j. What is the common denominator of 13\/6 and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4536 take away 47231?\nAnswer: -42695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*i + 4*k, 5*k + 25 = 5*i - 50. Solve i + 3 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2467893796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (59 - 70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1682863\/9 + 186790. Let l = b + 195. Suppose -l*g**2 + 0 + 4\/9*g = 0. What is g?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*m + 62, -2*m + 11 = n - 11. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 153\/2 (b) 2 (c) -3\/2 (d) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + u = -2, 0 = u - 0*u. Let o be ((-12)\/b)\/((-6)\/(-4)). Sort 4, 2, o in increasing order.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + o = -18, -382*d - 2*o = -377*d - 45. What is the smallest common multiple of 285 and d?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/22*319\/29. Which is bigger: 27 or f?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -40*l - 46. Let p(a) = -17*a - 23. Let z(i) = -7*p(i) + 3*w(i). What is z(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i + 27. Let a(u) = u - 4. Let k(m) = 15*a(m) + 2*z(m). Let g be k(2). Suppose -5*t + g*t = -325. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*i + 28 = -4*k + 106*i, 3*i - 8 = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 4710 and 4705 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/17))\/(m\/(m**(-2\/21)\/m*m*m)))\/(m**(-1))**(-39) assuming m is positive.\nAnswer: m**(-13621\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47\/4 of a year?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**6\/120 + 17*g**3\/3 + 2*g**2. Let k be v(0). Suppose 3*x + 10 - k = 0. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2 - 3) + -3 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 901 + -813. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 7. Let z(d) = 2*d - 3. Let s(w) = -4*a(w) - 7*z(w). Give s(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*m + 1 + 482*m**2 + 154*m + 154*m.\nAnswer: 482*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -2 + -1)\/2. Suppose -6 + h = 4*v - 2*c, -5*v - 6 = -3*c. Let d be (4 + 40\/(-12))*(-9)\/15. What is the smallest value in v, d, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32237*d**2 - 64472*d**2 + 32233*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d - d - 6*d)*(-3 - 2 + 3)*(6261 - 6261 - 669*d) + 0*d**2 - 2*d**2 + d**2)*(5*d - 3*d - d).\nAnswer: -8029*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 74 = -3*l - 64, 4*l = 2*h + 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 4*t. Suppose 3*h + 12 = t, 4*a + h = -a - 4. Let x = 13 - a. Calculate the remainder when 38 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v - 55*v + 30 = 0. Suppose 0*g = v*g - 400. Solve 3*n + g = -2*h - 3*h, 0 = 3*h + 4*n + 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 156?\nAnswer: 15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-21))\/((-22)\/(-44))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220122 (base 3) to base 11.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/2*(-4)\/(-25). Let o be -1*(1 + -2)*8\/(-24). What is the smallest value in o, 1\/9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427084186 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.58 - 2.8. Let j = -0.02 - u. Which is the third biggest value? (a) -0.2 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 767840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 6. Let z be m(-6). Let f = 14 + 9. What is the tens digit of f - (z - (-1 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + o + 35. Let b(p) = -p + 3. Let i(q) = q - 4. Let y(g) = 3*b(g) + 2*i(g). Let t(c) = -j(c) - y(c). What is the derivative of t(f) wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 - 1557*t**3\/5 - 97163*t**2\/5 - 240111*t\/5 + 22338 = 0. Calculate t.\nAnswer: -51, -3, 2\/5, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7938 (base 13) in base 3?\nAnswer: -121211012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30f37b + -a?\nAnswer: 30f371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - c + 8. Suppose -c = 4*f - 0*f. Calculate the remainder when (-108)\/8*(f - 1) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2188*f = -2162*f - 510 - 114 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**5\/4 + 1544625*u**4\/4 - 198849227181*u**3\/4 + 6957718172151*u**2\/4 + 3627997551090*u + 1838855315100 = 0.\nAnswer: -1, 37, 257420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 91991193 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90147 is divided by 371?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - k - 176 = -663, -k = -5*v + 801. What is the remainder when v is divided by 150?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 5)*(1 - 1 - 30*r)*(1 + 1 + 1) in the form u + b*r and give b.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 608.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 71*s + 1035. Let y be i(-14). What is the greatest common divisor of 656 and y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1, 1.1, 3, -42 in descending order.\nAnswer: 3, 1.1, 1, -1\/5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6 + 2*x + 0 - 3*x. Let n be l(-9). Suppose -5*v = 4*t - 7, 2*t - n*v = v + 10. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 20. Let n be (-84)\/b + (-3)\/3. Let t = n - -31. Solve t*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, i: 4}. What is prob of sequence ei?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.9717 - -13.9717. Let t = 3 + -3.1. Which is the closest to 2? (a) z (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -175, -156, -137, -118, -99?\n\"Answer: 19*g - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28293015?\nAnswer: 3, 5, 17, 181, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**3\/12 + d**2\/8 + d\/2 - 124. Factor f(s).\nAnswer: -(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1993?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + 6 + -12 + 43 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138889292 to the power of 1\/3, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8.163 * -1.19\nAnswer: -9.71397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.819? (a) 3 (b) -2\/3 (c) 1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8641946 to the power of 1\/2, to the nearest integer?\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 125190 to the nearest one thousand.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30297.094 - -30299. What is n rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bstjjflljbfsfl. What is prob of picking 2 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.326089107359 and -0.25.\nAnswer: 0.076089107359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 188406 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3436 + -1124. Suppose 18*u = -5*t + 14*u + 2888, -4*u + n = 4*t. Is t a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**6\/24 - 3*n**5\/10 + 13*n**4\/16 - n**3 + n**2\/2 - 91. Find x such that b(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 2*l - 2. Let w = -5 + 7. Let v(r) = -2*r**w + 4 + r**3 - 2 + 3*r - r**2 + 1. What is -3*a(g) - 2*v(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 86*v - 20633. Determine x(107).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k. Let d(z) = 735*z + 25. Give h(d(a)).\nAnswer: -2940*a - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(13\/3)\/i)\/i*((i\/i**(-24)*i)\/i)\/i*i*i)\/(i\/i**(-10)*i*i)**(-4\/7) assuming i is positive.\nAnswer: i**(772\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2331.781 to the nearest integer.\nAnswer: -2332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90930796?\nAnswer: 2, 11, 2066609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31765 + 63545\/2. Determine l, given that 17\/2*l**2 - 31\/2*l + m - 1\/2*l**3 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11 - -56)\/(1 + 0).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25898 * 956.\nAnswer: 24758488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z + 2. Suppose 4*n + 58 - 43 = 3*u, -n = 5*u - 25. What is the nearest to -3 in n, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - k - 1. Let m(o) = 4*o**2 - 5*o - 4. Let w(i) = 3*h(i) - m(i). Determine w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y)\/(y\/y**5))**19 assuming y is positive.\nAnswer: y**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.13 - 0.13. Let q = j - 17. Let z = 3 + q. Which is the closest to 2\/7? (a) 3 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 164) + (-898 - -953)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**47\/((h\/(h\/(h*h**(-2\/11))))\/(h\/h**(3\/5))) assuming h is positive.\nAnswer: h**(-23\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-66)\/(-12))\/((-3)\/(210\/50))*-5.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517817 - 338*k**2 + 517817.\nAnswer: -338*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 11:15 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-5) + 16\/(-40) + 0. Sort 2, w, -3, -2 in ascending order.\nAnswer: -3, -2, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 + -183.1. Let u = x - -2.2. Put 2\/5, 5, -2\/19, u in ascending order.\nAnswer: -2\/19, u, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(80)\/sqrt(2) - 1*sqrt(40)*-1)\/(sqrt(56)\/(4*-1*sqrt(7))).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.652 minus 0.3?\nAnswer: 13.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.0962 grams in tonnes?\nAnswer: 0.0001780962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/5 + 58*f**3\/5 + 43486*f**2\/5 - 158202*f + 3567564\/5 = 0. What is f?\nAnswer: -143, 9, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3727207 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2665161, 2665159, 2665157, 2665155, 2665153?\nAnswer: 2665151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 3*y + 3. Let d(n) = 3*n**2 - 2*n - 2. Let x(g) = 3*d(g) + 2*o(g). Let j = -4 - -6. Let l(c) = 0*c**j - 2*c**2 + 5*c**2. Calculate x(l(u)).\nAnswer: 45*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 8*d**2 - 1\/24*d**4 + 0*d + 0*d**3 + 0. Let w(t) be the first derivative of 3*t**2 - 2. What is w(o(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 10*s - 11. Is q(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.24 - 413.76. Let m = o + 505.9. Round m to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1557 - 12892 - 3023 = 1344*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 124 = -49*b. Let g(n) be the second derivative of 0 - 4*n + 1\/3*n**b + 0*n**2 + 4\/3*n**3. Find the second derivative of g(o) wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 2*y + 18. Let b(l) = -2*l**3 + 17*l**2 - 9*l + 6. Let m(x) = x**3 - 8*x**2 + 5*x - 3. Let r(g) = y*b(g) + 5*m(g). Is r(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(1 - 2 + 4)*((-2 - 1 + 2)*(-5 - 1 + 4) + 3 + 1 - 3)*(0 + 2*a + 0)*(-14*a**2 + 31*a**2 - 8*a**2).\nAnswer: 486*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/1495, -4\/5, -1, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g**2 + 5*g**2 + 0*g**2)*(-9*g - 6*g + 3*g) + 0*g**3 + 4*g**3 - 2*g**3)*(-4 + 1 + 1).\nAnswer: 68*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4 + 3 - s**2 + 2*s**2 - 6*s. Let c be d(5). Suppose 0 = -c*i + 6 - 2. Is 3\/2 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 3. Let u = -14 - -10. Suppose 3*v + i = 4*v - 1, -v - i = 9. Let j = u - v. Give z(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150) + -5*(sqrt(150) + sqrt(150) + sqrt(150)*2 + sqrt(150)))*2)\/(3*(sqrt(162)\/sqrt(6) + sqrt(27))*-6))**2.\nAnswer: 800\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45923 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (14 - 45\/(-27))*30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3496 = -84*r + 89*r + 71*r for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 2)*(52*y + 7*y + 21*y) as f*y + p and give f.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*m*p - 53*m + 215*p - 46 wrt p.\nAnswer: 11*m + 215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(3) + sqrt(3) + (sqrt(147)*-2 - sqrt(3))))**2.\nAnswer: 32\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 0*h + 0*h - 2*h + 3 - 3 + (-1 - 4 + 3)*(-4*h - 2*h + 4*h) + h - 3 + 3 + 12*h - 8*h + 4*h - 2 - 4*h - 10*h + 17*h to the form s*h + y and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkceecekrke. Give prob of picking 3 r and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2840, 5550, 8262, 10976?\nAnswer: 13692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) + (-7963)\/90. Let z = r - -3183\/40. Let n = -3879\/196 + 100\/49. Find the common denominator of z and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3187612*c**2 + 23955*c + 7985. Let f(i) = 1597*i**2 + 12*i + 4. Calculate -7985*f(s) + 4*x(s).\nAnswer: -1597*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 3 - (-9)\/(-21). Let j = -13 - 9. Let r = j - -70\/3. What is the closest to 1\/3 in v, -3, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16565a + -2?\nAnswer: -16565c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22\/5 - -71\/15. Let g = -7.01 + 0.01. Let o = 6.8 + g. Which is the second smallest value? (a) o (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (90\/455)\/((-906)\/4228)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1876 - 580 = -8*t. Let q = -244 + t. Suppose 0 = 4*u - 5*y - 63, -2*y + 4*y = 2. Calculate the remainder when q is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27194692 is divided by 2538.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + 1.98. Let k = -3 + 2.6. Let m = 4.09 + -0.09. Which is the nearest to 2\/3? (a) m (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207479.\nAnswer: 207479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 874?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*c**5*n + c**2*n - 4*c*n - c wrt c?\nAnswer: -9000*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*o - 106 - 173, 3*o + 372 = 4*r. Suppose 1 = c - 3, 5*z - r = 3*c. Calculate the remainder when z is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4878773 to the nearest integer?\nAnswer: 2209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654026 to the power of 1\/2, to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/(-4) - 18\/24. Suppose 8*g = 3*g - 4*j + 16, 0 = -4*g + u*j + 21. Suppose h - 5*t - 7 = 5, 12 = 2*h - g*t. Solve 0 = h*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -154 - -156. Solve 11*w**2 - 2*w - 6 + f - 9*w**2 = 0 for w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0 + 0*k**3 + 23\/105*k**7 + 0*k**4 + 1\/120*k**6 - 19*k**2 - 3*k - 7\/20*k**5. What is the third derivative of g(y) wrt y?\nAnswer: 1104*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 0)*-4 + 4*(sqrt(468) - ((sqrt(468) - (sqrt(468) + 1)) + sqrt(468)))**2 + -1 + 5 + 1.\nAnswer: -24*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 11:11 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*m + 17 = 0, 0 = y + 4*m + 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9 - (-232)\/3. Let a be (-33)\/(-7) + 22\/z. Calculate the highest common divisor of 35 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152 + (-4048)\/(-33))*45\/(-12)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/105 and 41\/700?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u + 9*u + 1 - 2*u**4 - 7*u to r*u**4 + l + z*u**3 + s*u**2 + d*u and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*m - 19*m + 60*m - 289 + 283.\nAnswer: 7*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 1, -4, 0.4 in ascending order.\nAnswer: -4, 0.4, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = n - 4*z, -8 = 3*n - 2*n - 5*z. Let f be 1 + 0 + (0 - n). Suppose -f*b + 4 = -12. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 192\/525 + -27 + 19517\/725. Let i = 2 + -2.05. Let y = i - -2.05. Which is the closest to 2\/9? (a) y (b) q (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -1015?\nAnswer: 16240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(-4*c + 3*c - c) + 0*c - 2*c + 4*c)*(-571*c - 228*c + 15533666 - 15533665).\nAnswer: -4794*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/91 + 152\/1365. Let j be (8\/10)\/((-7)\/35). Let w be (-42)\/24 + (-3)\/j. Which is the closest to w? (a) 5 (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(4 + sqrt(720) + 1)**2.\nAnswer: 960*sqrt(5) + 5960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 1855668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 146*m**2 + 19*m - 2. Let w(l) = 145*l**2 + 19*l - 2. Let o(r) = -6*c(r) + 5*w(r). Find the second derivative of o(x) wrt x.\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 3\/(-9)*-3. Suppose u*g - 16 = -2*g. Let f = g - -5. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6339 = -92*g + 2991 - 2338. Solve 0 = 7*d - 111 + g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}