diff --git "a/data/dm_maths/full_data/2368_11255.jsonl" "b/data/dm_maths/full_data/2368_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2368_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is bigger: -8 or 979697?\nAnswer: 979697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535185 (base 9) to base 11.\nAnswer: 1a8516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 49. What is the smallest common multiple of 11 and k?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w - 74472*w**3 - 4442*w**4 + 19 + 74472*w**3 + 34 wrt w?\nAnswer: -53304*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20210 (base 4) in base 2?\nAnswer: 1000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 1463?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -115*k**2. Let j(y) be the first derivative of -y**3 - 218. Calculate j(w(a)).\nAnswer: -39675*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 11*m**4\/24 - 71*m**3\/6 - 8*m**2 - 19. Let d(u) = 2*u**3 - 4*u**2 - 3. Let b be d(3). Is n(b) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - c + 2 = -2, c - 12 = -5*d. Solve 3*y + 10 = d*m, 2*m - 2*y = -y + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80854 - -80788.086. Let n = 66 + d. What is n rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 - 4 + (0 + 0 - 2)*(4 - 1 - 4) + 3 - 1 + 0)*(134 - 64 - 69 - 220*k**2) - 3*k**2 + 2*k**2 - k**2 as l + x*k + o*k**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22603 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1222*b - 1223*b + 2446*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 9*u + 17. Let i be t(4). Let z = -4993 + 4988. Put i, -21, z in increasing order.\nAnswer: -21, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4651.\nAnswer: 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/840 - l**5\/70 - l**2 + 1. Determine m, given that i(m) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 12 = 3*h - 6*h, 0 = -4*h - 2*j - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 155 - 1060. Let d = y - 55. Round d to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 5*o**8\/336 - 17*o**7\/42 + 5*o**6\/4 - 6*o**2 + 22*o. Factor l(k).\nAnswer: 5*k**3*(k - 15)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 1574080, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.59 + -21. Let o = 287.41 + n. Let z = o + -253.8. What is z rounded to 0 decimal places?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -495*r**3 + 1275*r**2 - 480*r - 220. Let i(n) = 38*n**3 - 98*n**2 + 37*n + 17. Let v(w) = -40*i(w) - 3*y(w). Factor v(t).\nAnswer: -5*(t - 2)*(t - 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 3573530.\nAnswer: 2\/1786765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = 1, w = 4*q - 20. Let z = w + 18. Let b be (-3 + 6)\/(z\/10). Sort b, 4, -1.\nAnswer: b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhrjrjrjjrhhjljrj. What is prob of sequence rhj?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*c + 129 + 5, c + 185 = 5*k. Let b be ((-8)\/6)\/((-9)\/27). Suppose k = 4*g - b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111111 + -101001?\nAnswer: -10001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 27*d**2 + 3*d + 2. Let v be r(-1). What is the highest common divisor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-9 + 3) - -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 36, 49.\nAnswer: -4, 36, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (266 - -2)*4\/8. Suppose 0 = 3*n + c - x, -c - 1 = -n + 37. Is n at most as big as 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h**2 - 15*h - 7. Let x(l) = -7*l**2 + 8*l + 4. Let p = -189 - -200. What is p*x(j) + 6*n(j)?\nAnswer: j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3, -10\/6297, -2.7 in decreasing order.\nAnswer: 0.3, -10\/6297, -0.1, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 19*n**2 - 53 - n + 16 - 9*n - 3*n + n**3. What is the tens digit of l(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = 19*f - 2620752. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 35*f**8\/48 + 5*f**4\/24 + 17*f**3\/6 + 2*f**2 + 3*f. What is the second derivative of g(n) wrt n?\nAnswer: 4900*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {x: 2, d: 16}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 683789811?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61382957 is divided by 1281?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-4)\/(-38))*(-3 + 5). Let x = 46 - 24. Solve g**2 + x*g - f*g + 2*g**2 = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6\/r**(-3)*(r**(-1))**(-15)*(r\/(r**0*r)*r*r**(2\/13))\/(r\/(r*r*r*r**(2\/3)))**9 assuming r is positive.\nAnswer: r**(639\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -196*b + 37. Let j be g(3). Let z = j - -587. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhn when three letters picked without replacement from nnhyndhyyy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (4 + 2 - -2 - (-26 - -7))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2749 - -2749.1. Let a = -0.6 - -0.6. Let h = 0.1 + a. What is the closest to c in 0.5, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(60) - sqrt(300)\/(sqrt(10)\/sqrt(2))) + (-1*sqrt(120))\/sqrt(2))\/(((sqrt(528) - (sqrt(528)*-3 + sqrt(528) - sqrt(528))) + sqrt(528))\/sqrt(11)).\nAnswer: -sqrt(5)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 64811.088 seconds?\nAnswer: 18.00308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1300286*d - 8. Let o(p) = 4*p. Give t(o(k)).\nAnswer: 5201144*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40d9 - 24dc?\nAnswer: 19db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*d = 3, 0 = -7*h - 2*d - 7106 + 7137 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 195122?\nAnswer: 5853.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1356712265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3508 and -0.134.\nAnswer: -3508.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -28\/11, -2\/3, -1\/109, -5, 0.278, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, 5, -2\/9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/20 - c**2. Let q(x) = -2*x + 2. Let p(g) = 36*g - 32. Let j(z) = -p(z) - 16*q(z). Calculate j(m(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/8 (b) -0.16 (c) -0.05 (d) -4 (e) 331\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -29.87.\nAnswer: -29.87, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02521 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3.6. Let h = -9 + 2.8. Let g = h + 1.2. What is the second smallest value in i, g, 0.05?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v - 7. Let l be a(-5). Find the first derivative of l + 9*k**4 + 12 - 18 wrt k.\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102.96 + -108. Let p = d + 4. Let s = p + 1.033. What is s rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12996 and 450.\nAnswer: 324900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-242 - -272) + (-15 - 3) - (-1 + 22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 plus -16805184409933?\nAnswer: -16805184409899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2062630 to the nearest integer?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-2*t - 3*t + 3*t) + 0*t - 4*t + 3*t - 1 - 2*t + 1 + 2*t + 496 - 240 - 237.\nAnswer: t + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 21, -4, -0.04, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106 and 1864909?\nAnswer: 197680354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 10*b - 98. Let x(m) = -12*m + 100. Let t(r) = 5*v(r) + 4*x(r). Let k(z) = 2*z. What is t(k(u))?\nAnswer: 4*u - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3432 + 3437. Let v = 10 - 5. Suppose 0 = -5*m - 2*r + 67, 8*m - 79 = 3*m + r. Solve -v*z + o = -m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(12)\/sqrt(4) - ((sqrt(12)\/sqrt(4)*1)**2 - sqrt(3)).\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -744167, -1488326, -2232485, -2976644?\n\"Answer: -744159*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -248.0000107 + 248. What is j rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c - 60*c - 2*c**3 - 2*c**2 + 2 - 120*c - 39*c - 67*c as j*c**2 + b + l*c + m*c**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -39. Suppose 4*p + 21 = -f + j*p, 2*p - 70 = 5*f. Is -18 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2382956889 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6644*((-69)\/4)\/(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26300 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 5) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(65)\/sqrt(5))**2*6*-2.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = o + 9, -o - 12 = o + 4*r. Suppose 0 = 2*n - 5*b - o*b - 3842, -4*n = -2*b - 7716. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64 + 3*c - 64)*(-3*c**2 - 4*c**2 - 3*c**2) - 7 + 7 + 7*c**3 to the form m + z*c + x*c**2 + y*c**3 and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -65408843.6 rounded to the nearest 100000?\nAnswer: -65400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 3. Let b(v) = -19600*v + 9797*v + 9804*v + 3. Calculate -4*b(j) - 5*n(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 5*i + b + 8 = -b, 14*b + 7 = 13*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.627 + -0.057. Let p = 9.47 + r. What is p rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, and 1 h when three letters picked without replacement from zbabarbbbhhzzhhzzayr.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*sqrt(187)*1)\/sqrt(1584).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3\/8, -1.37?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -64. Sort z, 6, 1, -1 in descending order.\nAnswer: 6, 1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -8*m + 13*m - 8, -2 = m - 4*f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.2, 1, -36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 13 + 0*k**3 + 0*k**4 - 11\/6*k**6 + 0*k + 1\/2*k**2 + 0*k**5. Find the second derivative of i(t) wrt t.\nAnswer: -220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(153) - (sqrt(153)*-2*-3 + sqrt(153))) + ((sqrt(153) - sqrt(153)*2)*5 - sqrt(153))))\/((sqrt(1944) - 1*sqrt(1944) - sqrt(1944))\/(sqrt(54)*5)).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 9*r - 19)*((2*r - r - 2*r)*(-6 - 1 + 1) + 0*r + 0*r - 2*r) as q + b*r + u*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 90166873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 - (-33)\/12. Suppose -t + 2 = -y, -3*t - t + 3*y + 11 = 0. Suppose -t*a - 4*d = -200, -5*a + 0*a + 200 = -w*d. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 14 = 5*k, -2*k = -63*x + 49*x - 44 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6) + (-15)\/38. Let s = 0.019 + -0.069. Sort 4, k, s in decreasing order.\nAnswer: 4, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/3 + 189160444*g\/3 - 4472709196784642\/3 = 0. Calculate g.\nAnswer: 47290111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2555 (base 9) to base 10.\nAnswer: -1913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 22. Let j(h) = -3137*h**2. Determine o(j(q)).\nAnswer: 6274*q**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 g when four letters picked without replacement from ggggggggtggggggggt.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8446 is divided by 1624?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:31 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from uutcclutud?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + (-33 - -67 - 2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 751*a**3*c - 347*a**3 - a wrt c?\nAnswer: 751*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*a - 6677 = 6343 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m. Let z be 4\/12 + (2996\/(-12))\/(-7). Let n(y) = 2*y**2 + 36*y - z*y. Calculate n(a(f)).\nAnswer: 162*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -328, -1344, -3044, -5428, -8496, -12248, -16684?\n\"Answer: -342*h**2 + 10*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axm when three letters picked without replacement from xabmbmobbmto?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.038 * 2.92\nAnswer: 0.11096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 less than 67580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 + 1 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2954, -25, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/30*(-2 + (-10)\/(-3)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(3\/2)*u*u*(u*u\/(u**(-4\/5)\/u*u*u))\/u assuming u is positive.\nAnswer: u**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 12?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 16*q + 422 = 3*j, -4*q = 20. What is the least common multiple of j and 51?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8700\/27 + (-3)\/(-54)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w - 12 = 0. Let f be 4\/(-14) + w\/(-28). Suppose 4 = -2*d - 0*d. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3 - 15\/(-4)). What is the second smallest value in 0, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 o when four letters picked without replacement from {o: 4, x: 14}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Let x = -3.2 + h. Let n = 3.1 - 2.1. What is the closest to -2 in n, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -712 divided by 3298?\nAnswer: -356\/1649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 31.\nAnswer: 21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10891, 21886, 32969, 44140?\n\"Answer: 44*v**2 + 10863*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z + 1. Let i be l(-1). Let k be (-6)\/4*(-24)\/i. Suppose -k*b = b - 245. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836316.\nAnswer: 2, 3, 13, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -344.58 in -130, 0.5, -5?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 11*m + 276. Let d be (-134)\/(-6) + 38\/57. Let h be f(d). Determine a so that -3\/5*a**2 - 2\/5*a**3 + 1\/5*a**4 + h*a + 0 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27070957\/17848 - -3\/17848. Let c = h + 1528. Calculate the common denominator of c and 61\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 7. Let i be m(3). Suppose 0 = 3*x - 4*j - 104, 2*x - 4*j = 6*x - 92. Calculate the greatest common factor of i and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*-2*4)\/sqrt(200).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 547*l - 469*l - 185 = -29. Let o(k) = 3*k**2 + k - 2. Let m(c) = -c + 1. What is l*o(r) + 2*m(r)?\nAnswer: 6*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1029181*t**2 - 781003*t wrt t.\nAnswer: -2058362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -558, -556, -550, -540, -526, -508, -486?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-462)\/(-30) - 2\/5. What is the greatest common divisor of 120 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 44400, 44409, 44424, 44445, 44472, 44505, 44544?\n\"Answer: 3*r**2 + 44397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + w - 8 = 0, 2*i + 0*w + 5*w - 1 = 0. Suppose -i*r + 16 = r. Suppose 0 = r*f - 18 - 58. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 + 3*g**2 - 4*g + 3. Let n be ((-20)\/16)\/(2\/8). Let f = -4 - -12. Let a = f + n. Let w(q) = 3*q**3 + 5*q**2 - 7*q + 5. Give a*w(c) - 5*t(c).\nAnswer: -c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139100 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4752 and 1648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i + 2*i - 4*i)*(5*i + 3 - 1 - 5 + (2 - 1 - 3)*(-5*i + 2*i + i)) to u*i + p + g*i**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - -4. Suppose g = 2*t - i, -4*i - 9 = 11. What is the remainder when (-476)\/(-10) + (-33)\/55 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41508 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8356.984km?\nAnswer: 8356984000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -204 (c) 0.3 (d) -4\/5 (e) 1 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 7*c + 10. Let n be k(8). Solve n*u - 7*u - 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*z**4 + 13*z**4 - 35*z**4)*(9 - 15 - 11).\nAnswer: 612*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39251 is divided by 1545.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1421, 1419, 1417, 1415, 1413, 1411?\n\"Answer: -2*n + 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.9 - 1.9. Are 0 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 + 3*s + 2. Let y be g(-3). Let u = y + 32. Let o(w) = -2*w + 17. What is the remainder when o(-7) is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 5*p**3\/2 + 2*p + 83. Let h(g) = -g**2 - 24*g. What is j(h(n))?\nAnswer: -15*n**2 - 360*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (32 - -1) + -17 + -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13765, 27539, 41317, 55099, 68885?\n\"Answer: 2*z**2 + 13768*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 14\/5*c**4 - 14\/5*c**2 + 13\/5*c - 1\/5*c**5 + 0 - 12\/5*c**3 = 0. Calculate c.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 275*v + 3149. Give a(143).\nAnswer: 1576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (313 - 313 - 43*y)*(-3*y**2 + 3*y**2 + 2*y**2 + (-1 + 0 - 1)*(-y - y**2 + y) + 4*y**2 + 4*y**2 - 6*y**2 + 2*y**2 - 6*y**2 + 3*y**2).\nAnswer: -215*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 41*j**2 + 3. Let w(i) = -206*i**2 - 16. Let b(t) = -16*r(t) - 3*w(t). Let f(c) be the first derivative of -c**3\/3 - 52747. What is f(b(x))?\nAnswer: -1444*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102308 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/(-20) + (-4)\/(-10). Suppose -4*v + 1 = -5*a - 44, 4*a + 40 = 4*v. Suppose 424 = 3*w + 2*u, 5*u - 279 = -v*w + n*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.55 + -0.28. Let i = 20 + -19.81. Let o = b + i. What is o rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 518\/9 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 9964*n + 20261*n + 25*n**3 - 10297*n - n**2.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47675, -95423, -143247, -191147, -239123, -287175?\n\"Answer: -38*n**2 - 47634*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29284812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1947246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -91*k**6\/15 + k**5\/20 - k**4\/6 - 17*k**2 - 2*k + 42. Find the third derivative of c(p) wrt p.\nAnswer: -4368*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4043337 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (10\/(-35) + 23\/7). Solve -m + 0*t - g*t = 1, -2*t = m + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 425084784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-8) + (-2)\/(-8). Let z(d) = 2*d**3 - d**2 + 5*d - 4. Let o be z(g). Is 3*1 - (4 - o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2181523?\nAnswer: 19, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.377934 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.33, -45\/17 in ascending order.\nAnswer: -45\/17, -0.33, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1138 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*g + 711 = -297*g - 543 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1108954 and 151525.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.035 + 1.035. Suppose 0 = 5*c - 3*c + 118. Let b = c + 237\/4. What is the smallest value in -3, b, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 19. What is the second smallest value in 0, y, 7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 8*m - 7. Let i be j(9). Determine d, given that 0*d + i*d + 2*d**2 + 12 - 16 - 4*d = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2820?\nAnswer: -1\/564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - d = 1, -2*v = v + 3*d - 24. Solve v = -q + 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 63*w**2 + 15*w - 8. Let v(b) = 42*b**2 + 11*b - 6. Give -5*q(i) + 7*v(i).\nAnswer: -21*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/231 and -67\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**3 - 690*n**2 - n - 6. Let i(q) = -11*q**3 + 1381*q**2 + 2*q + 11. Calculate -4*i(m) - 7*r(m).\nAnswer: 2*m**3 - 694*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - x - 7*r = 44, -10*x + 64*r + 57*r = 122*r + 44 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.36 + -30.64. What is the fifth smallest value in -1, -0.1, v, -2\/7, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122494500.\nAnswer: 2, 3, 5, 163, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (67 - 257495\/3773) + 15\/((-525)\/20)\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 1, k: 1, v: 7, a: 2, b: 5}. Give prob of picking 1 v, 1 o, and 1 b.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 8. Let k(z) = -z**2 - 8*z - 2. Let q be k(w). Suppose -2*h - 2 + q = 0. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -141224248*x + 150764190 wrt x?\nAnswer: -141224248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 17. Suppose 39 = 17*y - 12. Suppose -3*q + 15 = j, -9*w - 51 = -12*w + y*q. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 26*l**2 + 81*l + 25. Give c(-15).\nAnswer: 1285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (-61 + 100 - 31).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521, 600, 753, 986, 1305?\nAnswer: 1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/6*((-530)\/(-40) + -11). Solve 0 = -4*w - 5*v - 4, 8 = -2*w + 2*v - i*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 70.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(931) + sqrt(931)*-3)**2 + -6*(sqrt(931) - (-3 + sqrt(931) - sqrt(931))**2))*4.\nAnswer: 56*sqrt(19) + 15128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/(2*(-9)\/(-15)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2789150456?\nAnswer: 2, 3769, 92503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 2740616*m.\nAnswer: -4*m*(m + 685154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5) - (-28)\/45. Which is the nearest to 1? (a) 0 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 3)*(-3 + i**2 + 3) + 36 + 3*i**2 - 36)*(-4*i + 4*i + 2*i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84919 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -81*n + 17*n + 12 + n - 67. Let q be z(-9). Let u = -342 + q. What are the prime factors of u?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19461639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvqvqqvvvvvvvvvqvvv. What is prob of sequence vvv?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1200001010?\nAnswer: 1200001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -583.485 and -0.2.\nAnswer: -583.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29249 + -17528. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (sqrt(343) - (sqrt(343) - (sqrt(343) + 0 + sqrt(343))))**2 - sqrt(7)) + (sqrt(112))**2*3.\nAnswer: 6*sqrt(7) + 1708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (32 - 10) + 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00625090201 to six decimal places.\nAnswer: 0.006251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k - 4. Suppose 3 + 5 = -f + 3*w, 4*f + 4*w - 16 = 0. Let g(s) = -s - 1. Determine f*p(d) - 5*g(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - 4.04. Let n be (12\/44)\/(3\/(-2)). Let j = 7.6 - 8. Which is the third biggest value? (a) n (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 x when four letters picked without replacement from xvxvvxxx.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 + 2 + 0*c**2 + c - 3*c**2)*(1118 - 23*c - 1118) as w*c**3 + j*c**2 + s*c + p and give w.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -3*x**5\/20 - 5*x**3\/3 - 3*x**2. Differentiate s(u) with respect to u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2464725*m**3 + 35418408 with respect to m.\nAnswer: 7394175*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -1 in ascending order.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 442 - 448. Which is the nearest to -0.1? (a) 0.26 (b) 4\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330272761 to the nearest integer?\nAnswer: 18173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 10*u**2 - 14*u + 23. Let j be y(5). Suppose j*i - 524 = 76*i. List the prime factors of i.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6738 and 42.\nAnswer: 47166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21424\/(4223\/41)*1\/8\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 9678895897869.\nAnswer: 9678895897865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-7))\/((-34)\/238). Sort -27, v, -1, 0 in decreasing order.\nAnswer: v, 0, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = 2*z - 11*l - 8, -l = l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 4 - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10645705.\nAnswer: 5, 7, 304163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/7 - 10091*j\/7 + 12021180\/7.\nAnswer: (j - 8711)*(j - 1380)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d**3\/d))\/d*d**(-1\/3))\/(d**(-2))**(2\/29))**(3\/4))**(-1\/21) assuming d is positive.\nAnswer: d**(191\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*x - 36 - 16 = 0, -5*x = -15. What is the highest common divisor of m and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/762712 and -7\/33508.\nAnswer: 6389238424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d - 13*d + 24*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 29*x**2 - 19*x + 540. Give t(29).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(384)*3 - sqrt(24)))\/sqrt(12).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*q**3 - 35*q**3 - 25*q**3 + 147*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r - r + ((0 - 2 - 1)*(1 - 3 + 0) - 1 + 0 - 1)*(-3 - 2*r + 3).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 195*s**2 + 30*s + 3. Let j be l(-5). What is the greatest common factor of 168 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1. Let r(h) = 1. Let k(d) = 4*l(d) + 6*r(d). Let a(s) be the third derivative of s**5\/60 + s**3\/6 + 3*s**2. What is -2*a(i) + k(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 - -5.5. Suppose -6*i - 13*i = -i. What is the second biggest value in 0.2, i, y, 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 11:53 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*-1*sqrt(68))\/(sqrt(40)\/(sqrt(10) - (sqrt(360) - sqrt(360)*-4))) + 4.\nAnswer: 4 + 435*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -62. Is ((-4)\/(-6))\/(h\/(-14724)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:59 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39632*y**4 + 2*y**3 + 1370377*y wrt y?\nAnswer: 475584*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 + 1076770*d\/3 + 15074878\/3.\nAnswer: -(d - 2153554)*(d + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 12*h - 11. Let b(y) = y**2 + 10*y + 2. Let o be b(-11). Let z be d(o). What is the first derivative of 5*r - 3 - r**z - 5*r wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22334099991 from 0.7.\nAnswer: 22334099991.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-1\/5)))\/l*l)\/(l\/(l\/(l\/(l\/l**(1\/6))))))**(18\/11)*(l**(1\/3)*l)**39\/(l**(1\/5)*l\/(l\/((l**(-1)\/l)\/l))) assuming l is positive.\nAnswer: l**(3017\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 54429669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1\/(-2)*24\/(-756)*60\/5.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*b - 2*r, -443*b + 892*b - 5 = 452*b - 5*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*y - y - 5*y - 13*y**5 wrt y.\nAnswer: -260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3938 - 7858 + 3924 - 50*v. What is i(1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 10*j - 21 + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11594632 and 390848.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2822 and 850?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - -10000101010010010?\nAnswer: 10000101001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -38075337*0.09\nAnswer: -3426780.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.025 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-20)\/15)\/(10\/(-555))?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5541, 11048, 16561, 22080, 27605, 33136?\nAnswer: 38673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 2*z)*(z**2 + 3*z**2 - 2*z**2) - z**3 + z**3 - z**3 + 2*z**3 + z + 4*z - 2*z.\nAnswer: -3*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 3}. What is prob of picking 1 s and 2 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 647 = -453. Calculate the remainder when g is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -2 - (-18)\/6. Let q(y) = -y**3 - 2*y**u + 4 - 3 + 0*y**2 + 3*y**2. Let h be q(0). Solve 2*w + h = -9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*((-50)\/(-15) + -5). Suppose 42*i - g*i = 8480. What are the prime factors of i?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3380.7 + 4040. What is z rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*-0.0747.\nAnswer: 0.17928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*((f\/(f*f\/f**(-7\/5)*f))\/f)\/f)\/f)\/f**6)**(-5\/14))**(6\/37) assuming f is positive.\nAnswer: f**(171\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/9519709 and 61\/13865.\nAnswer: 47598545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 70*g + 351 = 0, 10 - 24 + 7 = 3*c - g - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36b4b66 - -4?\nAnswer: 36b4b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/2 + (-6 - (-54)\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2325)\/(-10)*24\/9 and 62?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + s - 5 - 3 = 0, -5*g + s + 24 = 0. Suppose -g*h = -c - 28, -4*c + 6*c = h. Solve 2*t = -0*t - h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -3*g**4\/4 + 56*g**3 + 3*g**2\/2 - 168*g + 5394. Factor i(q).\nAnswer: -3*(q - 56)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 407164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115554978 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 10962 = 12*v - 10*v. What is the greatest common divisor of v and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 6*i - 12. Let m be q(-8). Suppose m*d - 5*p - 12857 = 0, 4*d - 4446 = -3*p + 8371. What are the prime factors of (5 + d\/16)*2\/3?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -3400.0963.\nAnswer: 238.006741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*y + 7638 - 65*y - 7*y - 163*y - 9*y**2 wrt y?\nAnswer: -18*y - 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -581710.545 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*g + 96*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {c: 1, x: 10, o: 4, h: 1, e: 2}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 40*l**4 - 8*l - 3*l + 23*l**4 wrt l?\nAnswer: 756*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20518 - -20504. Let y(t) = -t**2 - 7*t + 4. Calculate y(m).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30900*s + 52393*s + 67569*s.\nAnswer: 89062*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-7 - 3040\/(-240).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - g**2 + g. Let l(r) = 12*r**3 - 5*r**2 + 4*r + 1. Calculate l(u) - 5*s(u).\nAnswer: 7*u**3 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {n: 2, v: 1, m: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -276?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3606 divide 157722834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c (base 15) in base 16?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 2*p + p + 19.\nAnswer: p + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -25, -71, -139, -229, -341?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -68. Let r = -38 - o. What is the tens digit of (-1)\/(-5)*5 - r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1*(-10)\/4)*45\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 105*q**2 - 4009*q - 38781. What is i(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202112 (base 3) in base 13?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006167 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 5\/(-3))*(-8748)\/24. Let h = 246 - i. Solve 5*b = -h*u + b, 0 = 3*b + 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 4469*k**3 + 2*k + 3*k**4 - 3*k**2 + 7 + 4471*k**3 to the form i*k**2 + w*k**3 + m*k**4 + c + x*k and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*s - 41238 = 86*s - 176*s. What is the smallest common multiple of 11 and s?\nAnswer: 2607","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627201284 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 5 divided by -142?\nAnswer: -5\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -8*d - 2. What is the units digit of 0 - (1 - d) - -55?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/46 and 8\/88665.\nAnswer: 177330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -41bc0 (base 13) to base 16\nAnswer: -1ceb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 241968912*k**2 - 122316246.\nAnswer: 483937824*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/6 + 551*n**2\/3 - 62737*n\/2 + 31185 = 0. Calculate n.\nAnswer: 1, 210, 891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19386*z**2 - 77526*z**2 - 23*z**3 + 19386*z**2 + 19381*z**2 + 19373*z**2.\nAnswer: -23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*u - 24 = 41*u. Put -3, 5, -6, u in increasing order.\nAnswer: -6, -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 5 (c) 4 (d) 2.71 (e) 2 (f) -2 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 310073090 to the nearest one hundred thousand.\nAnswer: 310100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3258 - 1884. Let q be b\/(-15) - (-6)\/(-15). List the prime factors of 3*(q\/(-12) - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 11*t**2 - 15*t - 8. Let o(z) = -z**3 - 12*z**2 - 17*z - 8. Let v(u) = -5*g(u) + 4*o(u). What is v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3584471 to the power of 1\/2, to the nearest integer?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 f, and 1 y when four letters picked without replacement from yfnppyfppjpjjfifpj?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4*p + 54183*h**4 - 9376*h**2*p + h*p wrt h?\nAnswer: 48*h*p + 1300392*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000101110010 + -100110?\nAnswer: 111000101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 8. Let d be s(4). Suppose -d*l = -6*l - 12. Sort l, -4, 0.\nAnswer: l, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - (-62)\/(-4))*4\/(-3). Suppose -5292 = -m*d - 1092. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 19. Suppose 3*c - 2 = i. Solve -c*w = 2*f, 0 = -2*w + 5*f - f + 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 36. Calculate the common denominator of 5\/(150\/u) - (-1)\/2 and -93\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 3*u + u**2 - u + 3*u**2. Let o(z) = -z. Let h(i) = -l(i) - o(i). Let j(a) = 2*a - 3*a - 3*a + 2*a. Calculate h(j(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(204) + (sqrt(204) - (2*sqrt(204) - sqrt(204)))) + -2*(sqrt(204) - (-3*sqrt(204) + sqrt(204))))\/(-2*(sqrt(1200)*-3 + sqrt(1200))*-2).\nAnswer: 3*sqrt(17)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 9*p - 38 + 20 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 3:06 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.210617 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 0*h - 3*h)*(2*h**4 - 5*h**4 + h**4) + 2*h**5 - 2*h**5 + 2*h**5 + (2*h**4 + 2*h**4 - 5*h**4)*(-9 + 9*h + 9) - h**5 + 3*h**5 - 3*h**5.\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2))**2*-2 - (sqrt(88)*-2)\/sqrt(8).\nAnswer: -22 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -29. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a gram in milligrams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2374440 divided by -2820.\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 11813*g**3 - 23629*g**3 + 2*g**2 - 51*g + 11808*g**3 in the form n*g**2 + v*g**3 + h + f*g and give f.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/6)\/((-1)\/(-8)). Let g(x) = 9*x - 1 - 5*x - 3*x - 1. Determine g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*c = -15, -c - 2*c + 9 = -5*z. Suppose -r = -z - 3. What is the third derivative of x**2 + 3*x**4 + 18*x**r - 18*x**3 wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-73)\/14 - -5)\/(3\/(-4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 4*k - 25 + 7 to b*k + y and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*t = 8*t - 6*t - 975 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighty-one quarters of a week?\nAnswer: 3402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1842 + -1072. Calculate the remainder when r is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54825.94 weeks to days.\nAnswer: 383781.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -12 + -116 + 796341\/6370\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*c = p - 114*c + 7, 0 = 3*p - c + 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.3 and 3?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -16*s + 21. What is p(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:56 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 17*p**2 + 16*p + 23. What are the prime factors of j(6)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 39 + 5 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n - 2. Calculate r(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 779 and 12160.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/11, 0.6, 2\/15?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*v + 1690 - 2050. Let h(c) = c**2 - c + 1. Let s(x) = -x + 1. Determine v*s(y) + 6*h(y).\nAnswer: 6*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 943 * 5.\nAnswer: 4715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 289 + 140530\/(-376) - ((-1)\/(-4))\/1?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-2)\/(-72))*80\/(-180)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27927\/428*192\/2160?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2066775?\nAnswer: 3, 5, 17, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riri when four letters picked without replacement from {i: 7, r: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -637, -778, -1009, -1330, -1741?\nAnswer: -2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 108987, 218807, 328625, 438441, 548255?\n\"Answer: -t**2 + 109823*t - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, s: 2}. What is prob of picking 3 d and 1 s?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d - 17. Let k be v(5). Suppose 2*o = 4*w + 2066, -k*o + 5*w = -5*o + 2030. List the prime factors of o.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a + 44*a = -35. Let k = 25 - a. What are the prime factors of 126\/(4\/(k\/6))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -467 divided by -1559\nAnswer: 467\/1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16419 and 28392?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 25365 divided by 8455\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 30 = -5*a, 3*y = 7*a - 2*a + 6. Let u be 8\/3 + a + (-3597135)\/198. Let f = 18164 + u. Calculate the common denominator of -65\/44 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.13528 + 0.13528. Which is the closest to m? (a) -0.5 (b) -1.7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 - 3425\/(-15) - 2\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 36. What is d(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -10*r - 140. Let h = r + -3. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148630*f*o**2 + 4272*f*o - f + o wrt o.\nAnswer: 297260*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v + 9. Let u(d) = -15*d + 37. What is -22*i(f) + 6*u(f)?\nAnswer: -2*f + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(612) - 1*sqrt(612)))*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/66080 and 73\/9.\nAnswer: 594720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-66)*-555596*(-4)\/96. Let q = 1403 + f. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 - 7*a**3 + 0*a - 44 - a**4 - a**2 + a in the form r*a**3 + y*a**4 + t*a + l*a**2 + u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 4*n + 9. Let w be c(5). Let m be (-5)\/20 + 1\/4. Suppose m*x - 3*x = 3*d + 15, 0 = 4*x + 5*d + 25. Sort -1, x, w in descending order.\nAnswer: w, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**8\/5880 - s**7\/1470 + s**6\/1260 + s**5\/210 - 13*s**3\/6 - 17*s. Let d(a) be the second derivative of p(a). Factor d(g).\nAnswer: -2*g*(g - 1)*(g + 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -4) + -13 - -1 - 67.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - k**2 + (-2*k + 2*k + 2*k)*(-k + 2*k - 3*k) - 4*k + 4*k - 2*k**2 - k**2 + 3*k**2 - k**2 + 4*k**2 - k**2 - k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 26*w - 19. What is v(-13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 0*v - 2*v = -12, s + 3*v - 14 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - r**3 + 5*r**3)*(0*r + 3*r - r) + 4*r**2 - 4*r**2 - 2*r**4 + 53 - 53 + 7*r**3 - 3*r**4 + 0*r**4 + 0*r**4 - 2*r**4.\nAnswer: -3*r**4 + 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:18 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -6 - 6. Suppose 0 = -m + 3*m + w - 53, -4*w - 76 = -4*m. What is the tens digit of m + (3 + -4)*r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + -7)*1*(-1 - 4). What is the units digit of -22*h\/(-40)*-8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 475386*h = 475383*h + 103, 3*b = 4*h - 64 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/4)\/(3147\/25176)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 245\/(-14) + 6\/4. Let x = -19 - z. Let f be 2*(x + (-4 - -4)). Let v(q) = -1. Let p(k) = -k**2 + 4. What is f*v(b) - p(b)?\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 53\/960?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -12*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, j: 5, k: 2, u: 1, a: 1}. What is prob of sequence akk?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**5\/60 + v**4\/12 - v**3\/6 - 6*v**2. Factor t(s).\nAnswer: -(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184679.3 nanometers to millimeters.\nAnswer: 0.1846793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.24 + 0.66. Let c = -1.1 - q. Let x = -28 - c. What is the third biggest value in -1\/5, 0, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 416431 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -35*w. Let u(f) = 20*f**2. Calculate m(u(h)).\nAnswer: -700*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0)*(-4)\/2. Suppose 2*z + g = -2*z + 14, -2*z = 5*g + f. Solve -z*q + 8 = -0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlmldtmdrmlfmd. Give prob of picking 2 f and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 27*v**2 - 76*v. Let m(w) = 12*w**2 - 39*w. Calculate 7*m(o) - 3*p(o).\nAnswer: 3*o**2 - 45*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(175) - ((sqrt(175) + sqrt(175) + 3 + -4 - sqrt(175)) + sqrt(175))**2).\nAnswer: -703 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 10 - ((-41 - -18) + 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r - 20. Let h(u) = -16*u + 12. Let b be h(r). What are the prime factors of b\/(-16) + (-2)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 400 = 4*b, -7*z + b = -5*z - 204. Let c = z - 101. Calculate the highest common divisor of 12 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.04895 - -0.00305. What is j rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24624 and 16.\nAnswer: 24624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**3 - 6*g**2 + 8*g + 182. Let v(m) = -7*m**3 + 13*m**2 - 17*m - 363. Give 13*o(w) + 6*v(w).\nAnswer: -3*w**3 + 2*w + 188","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -361706 or -361705?\nAnswer: -361706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40576 and 10240.\nAnswer: 3246080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -291 + 401. Let k = 239 - r. Calculate the remainder when k is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 3, a: 2, n: 6, u: 1}. Give prob of sequence an.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/50 and 101\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 916\nAnswer: -1\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/18 and -4 - (-2 - ((-49)\/(-12) + 4)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 110*a**2 + 14089*a - 63. Calculate h(-128).\nAnswer: -1215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0617966 - 3\nAnswer: -3.0617966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4923353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2*sqrt(243) - sqrt(6)\/sqrt(2)*2) - ((sqrt(132)\/(sqrt(11) - (sqrt(11) - sqrt(44) - sqrt(11))))\/(-2*sqrt(324)))**2) + -5.\nAnswer: -4861\/972 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7256 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 139.805 * 0.5\nAnswer: 69.9025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nllnaaanaabnnnnn. Give prob of sequence nb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*p**4 + 20*p**4 - 131*p**4 + p**4 + 0*p**2 + 0*p**2 + (-2*p + 2*p**3 + 2*p)*(2*p - 3*p + 0*p) - 2*p**3 - p**4 + 2*p**3.\nAnswer: -51*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 813308 and 813306 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -143 - 60?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*i**3 - 27*i**3 - 2 - 2*i**4 - 4*i**2 - 29*i**3 - 2 + 2*i**2 + 4*i to the form l*i + v*i**4 + z*i**3 + q + u*i**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-125)\/100)\/((-2)\/8). Let w = 27 + -25. Let v(b) = -3*b**w + 68 - 67 - b**2 + b**3 - 5*b. Calculate v(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbbb when four letters picked without replacement from nnbhbnnhnb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2 - 2)*(0*f**2 - 2*f**2 + 0*f**2) + 8*f**3 - 5*f**3 + 7*f**3 + (0*f**2 - f**2 - f**2)*(22*f - 39*f + 22*f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1572468 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2650 and 8215?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -539694*j*w**2 - 7*j*w + 4*j + 4819*w**2 + 15*w + 60 with respect to j.\nAnswer: -539694*w**2 - 7*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 485558.8?\nAnswer: -485561.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2442141 (base 5) to base 3\nAnswer: -2100211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 4874544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4\/7 + 113*i**3\/7 + 125752*i**2\/7 + 124948*i\/7 - 753792\/7 = 0.\nAnswer: -302, -3, 2, 416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 346, 5, 2, 8569, 0 in ascending order.\nAnswer: 0, 2, 5, 346, 8569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -53. Let f = -65 - -106. Suppose -f = -11*a + 91. Solve -c - a = c + 3*i, c + 4*i = -m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v - 3. Let i(p) = 43*p - 7. Let n(l) = 51*l - 7. Let u(c) = 5*i(c) - 4*n(c). What is -5*b(w) + 2*u(w)?\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**8\/6720 + h**7\/210 - h**6\/360 + h**5\/6 - 5*h**4\/2 + 242*h. Let y(a) be the third derivative of k(a). Calculate y(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - y + 3. Let d be h(0). Let l be 5*3*4\/12. Solve 5*q = 5*k - k - 11, -l*k = -d*q - 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(6\/25))**(-5) assuming v is positive.\nAnswer: v**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -235, -777, -1783, -3403, -5787, -9085?\nAnswer: -13447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1495*b**2. Let q(o) = 2*o + 180. Give q(v(a)).\nAnswer: 2990*a**2 + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/560*-10*(-2)\/(-3))\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 10*m + 16. Suppose -4*t + 125 = 4*d - 471, 443 = 3*t + m*d. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -2 - 11) + 9 + (-7 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*3*sqrt(133) + sqrt(133))*3)\/(sqrt(126)\/sqrt(2)*2).\nAnswer: -11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3127.943t?\nAnswer: 3127943000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-9)*3\/36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1108*b**2*c**2*x - 4*b**2*x + 15*b**2 + 132*b*c**2 wrt x?\nAnswer: -1108*b**2*c**2 - 4*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - -1*sqrt(20)) + sqrt(25)\/sqrt(5)*1.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41.409 + -41.6. Let x = z - -0.1797. What is x rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(2\/(-12)))\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16138, -32308, -48506, -64738, -81010, -97328?\nAnswer: -113698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5065 divided by 6\nAnswer: 5065\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -12*n. Let z = 136 + -125. Let k(f) = z*f - 8*f - 6*f. Calculate k(b(a)).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1008730, -1008727, -1008724?\n\"Answer: 3*h - 1008733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, t: 2, g: 4, w: 6, d: 1}. Give prob of picking 2 g.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 2*t**3\/3 + t**2\/2 + 2*t + 126. What is c(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2649 + 0.7351. Which is the third biggest value? (a) 0.03 (b) -7\/3 (c) h (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 5200.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -687 (base 10) in base 16?\nAnswer: -2af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 44152686.\nAnswer: -5\/44152686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 404004*s + 20. Suppose -15*a = -19*a - 20. Let n be c(a). What is n rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -74, -203, -430, -785, -1298, -1999, -2918?\n\"Answer: -5*d**3 - 4*d**2 - 14*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7073.751ms to seconds.\nAnswer: 7.073751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17533?\nAnswer: 89, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 2:11 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.087 in 5, 1, -4, 2\/5, 0.74?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m**(-3\/4)\/m*m)\/m)\/(m*m**(-1)))\/(m**(-3\/2)\/(m*m\/(m*m*m*(m\/m**(-3\/4))\/m*m))))**(1\/27))**(3\/20) assuming m is positive.\nAnswer: m**(-1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.96 and -0.19.\nAnswer: 12.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 1, k: 3, c: 9, l: 3}. Give prob of sequence ek.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*m - 298 + 111 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 27*q - 874 = -23*q, 2241 = -5*i + 4*q. Let d = i + 535. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 125.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010100010 (base 2) in base 4?\nAnswer: -222202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 15 + -1 + 0 + 76 + -94?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5266, -21058, -47378, -84226?\n\"Answer: -5264*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07+-0.84\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4780133970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 2}. What is prob of sequence eg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*z + 304*z - 149*z + 6*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(-2\/61)*x*x*x))\/((x**(-1\/41)*x)\/x*x) assuming x is positive.\nAnswer: x**(-12362\/2501)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 2*o**2 - 5 + 0 + 2*o**2 to l + d*o**2 + y*o and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 6 + 2)*(0 - 3 + 4) - 41 + 108 + 39 + (1 + 3 - 2)*(0 - 3 + 2))*(7*l - 7*l + l**2).\nAnswer: 103*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - 2*j + 4*j)*(3*j - 3*j + 4*j + 7*j + 0*j - 5*j - 2*j - j + 2*j + (-2*j + 3*j + j)*(5 - 3 - 3)) to the form x*j**2 + m*j + c and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -156727546 rounded to the nearest one hundred thousand?\nAnswer: -156700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(20\/(-15)) - 3. Is (-41)\/(5\/(-1135) + z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 26*m**2 + 42*m - 25. Let j be i(-24). Calculate the highest common divisor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4, -16 = -4*w + 2*w - 4*u. Solve 2*h + 6 = -w*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2106624*q**3 + 2 + 121205*q**3.\nAnswer: 2227829*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 - 250) + (134 - 5).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 10*x**2 + 13*x + 12. Calculate the smallest common multiple of 15 and h(-8).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2 + 1880*l - 5595 = 0. What is l?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + p + 65*x + 146 + 49, p + 5 = -x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**2. Let s = -42 - -99. Let b(l) = s*l**2 - 30*l**2 - 30*l**2. What is r(b(a))?\nAnswer: 45*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/20*15*2\/(-33)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61)\/(-5368)*22 + (-3)\/(468\/183)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - -4. What is the first derivative of -2*t**2 + 27 + u - 84 + 21 + 3*t**3 wrt t?\nAnswer: 9*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814476.\nAnswer: 2, 3, 13, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 3*v**3 + 2*v**3)*(-11*v**2 + 6*v**2 - 2*v**2) - v**5 - 3*v**5 + 3*v**5 + (3*v - 6*v + 2*v)*(-v**4 + 0*v**4 - v**4).\nAnswer: -13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101101 (base 2) to base 9.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 9*q + 1095. What are the prime factors of q?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = 77*s - 370 - 59 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -154 in 36, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 91791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5237, -5374, -5577, -5846, -6181?\nAnswer: -6582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 20*b**2 + 45*b - 4. Let w = -38 + 34. Let t(k) = 2*k - 14. Let s be t(w). Let v be p(s). Round v to zero decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299 + -352. Sort t, 4, -2 in descending order.\nAnswer: 4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443234202 (base 5) to base 7.\nAnswer: -22260301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 342 + -154. Is 190 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -58. Let h = 110 - x. Suppose h = f + 4*f. Calculate the highest common divisor of 180 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -212, -353, -536, -779, -1100?\n\"Answer: -3*g**3 - 3*g**2 - 111*g - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-1 + -2 + 6 - -1). Suppose 5*w + 4*q = 2*w + 108, 2*q + v = 0. Is (-2717)\/(-5) - 16\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*d, -177*s + 178*s = -d + 9. Solve 0 = s*w + 25*w + 287 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine fifths of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 9*v - 17. Let q be h(-7). Let x = 105 + q. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 - -1)) + -16 + 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*m - 5 + 3, -3*s - 30 = -4*m. Is -1 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104168884 to the power of 1\/3, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*a - 3, a = -5*d + 6*a - 20. Let r = 1 - d. Let s(k) = -k**3 - 17*k**2 - 30*k + 9. Calculate the remainder when r is divided by s(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818651.\nAnswer: 467, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 9:25 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -276 (base 16) to base 7\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:38 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30489845 is divided by 27921?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - h + 415007 = 0, 0 = -9*w + 10*h - 9*h + 746993. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.21 (b) 1\/8 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 d when four letters picked without replacement from tgdgtdldddtggglldg.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 12*k**2 - 28*k - 3. Let l be n(-14). Let v be 2 + l + 18\/6. Suppose v*q + 3*q - 6*q = 0. Solve -a + q = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2339\/1020 + 39\/68. What is the common denominator of -61\/6 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k**2 + k)*(-2 + 2 + 2*k)*(0 + 0 + 2*k**2).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k - 4*k**2 - 5*k**2 + 8*k**2 - 1. Let n be p(10). Which is smaller: 2\/41 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -724, -785, -846, -907?\n\"Answer: -61*v - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 14*f - 28*f + 5*f + 11*f. Let z(w) = -89*w**2. Calculate z(q(n)).\nAnswer: -356*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-27)*2\/(-10))\/(105\/(-350))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*p + 31, -2*c + p - 5 = 9. Calculate the common denominator of -37\/11 and c\/(-10) - (-98)\/52.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*t + 5*o - 19, -o = -5. Suppose q - 159 = -3*r, -2*q + 6*r = r - 373. Is 3\/t*(q - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65259551*j**3 + j**2 + 126107482 wrt j?\nAnswer: -195778653*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15\/4)*(o\/((o**(6\/13)\/o*o)\/o))\/o)\/(o**(20\/9)\/(o*o**5)) assuming o is positive.\nAnswer: o**(265\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**2 + 3182*j - 20068. What is w(-404)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 347100.5 millennia?\nAnswer: 34710050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81.3 - 97. Let r = -34.9 - t. Round r to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14400 divided by 64?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 145 = -40. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120242 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 96649250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 112*j**2 + 0 + 0 + 97*j**2 to t*j**2 + c + o*j and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -19*a - 64 - 2*a**2 - 2*a + 97 - 18. Calculate k(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ffpp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78845058 is divided by 1330.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = z - 146 + 48, 19*d - 28 = -6*z - 420 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -17, -5, 1\/10 in descending order.\nAnswer: 1\/3, 1\/10, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8847, -0.7, 1\/2, 3\/7, -0.03?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -261, -502, -723, -918, -1081, -1206, -1287, -1318?\n\"Answer: p**3 + 4*p**2 - 260*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87, 90, 95, 102, 111, 122, 135?\n\"Answer: l**2 + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 6, 0.7, 12, -242?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnn when three letters picked without replacement from ggtugfgtltntun?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 - 112002120001222?\nAnswer: -112002120001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -22. Suppose -5*s = b*y - 25742, 11*y - 7*y - s - 25730 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*s + 699*s - 3136*s - 945*s.\nAnswer: -3569*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10050)\/250 + 39)\/(6\/260)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -1671.\nAnswer: -1671, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3)*(-345)\/460)\/((-17)\/(-2))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312291345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134092294.\nAnswer: 2, 7, 17, 563413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 18*t**2 - 35*t**2 + 85*t**2.\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/6 and -44\/1075.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 94, 696, 1876, 3778, 6546, 10324, 15256?\n\"Answer: 24*i**3 + 145*i**2 - i - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)\/x)\/x**4)\/(x**(-4)\/(x\/(x*x*x**3*x))) assuming x is positive.\nAnswer: x**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4393, -1344, -7081, -12818, -18555, -24292?\nAnswer: -30029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g**3 - 2*g**2 - 2*g. What is r(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*w + 168*w + 317520000 = 0. Suppose -31*n = -38*n - w. What is n rounded to the nearest one hundred thousand?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 905, 139 in increasing order.\nAnswer: 15, 139, 905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = x - 14, -43*r - 2*x + 16 = -41*r. Solve 3*y = -r*f + 3*f + 8, -5*f - 5*y = -60 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/36518 and 67\/2.\nAnswer: 36518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 20*t**2 + 0*t**3 - 18*t**2 - 3*t**4 + t**4 - 3*t**3 - 2*t**3 to the form v*t + m + s*t**4 + n*t**3 + q*t**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -664 + 334. Let u = 1098 + j. Suppose 0 = 3*q + 9*q - u. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.4, 1663\/2?\nAnswer: 1663\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 - -0.08. Let z = 68 + -35. Let l = z - 37. Put j, 1, l in ascending order.\nAnswer: l, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-2))\/(16\/34). Let w = 11\/4 - r. Which is the closest to 1? (a) w (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, -401, 8\/35, 369 in increasing order.\nAnswer: -401, -1, 8\/35, 0.3, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5*-48062.808\nAnswer: -240314.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 6*v**2 + 8*v + 12. Let w be f(-7). Let s be ((-14)\/(-6))\/(w\/15). What is the first derivative of 5 + s - 8 + 0 - 32*y wrt y?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 17*l - 3. Let m be q(-7). Let j be ((-135)\/m)\/(6\/(-8)). Suppose 19*p - 9 = j*p. Do p and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 61*z + 9. Let c(q) = 3*q**2. Determine c(b(x)).\nAnswer: 11163*x**2 + 3294*x + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**4 + f**3 + f**2 + f - 1. Let v(k) = -6*k**4 - 9*k**3 - 18*k**2 - 15*k + 9. Let z = -17 + 8. Let y(w) = z*m(w) - v(w). Factor y(r).\nAnswer: -3*r*(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggt when four letters picked without replacement from ggttggtgggggtgggtggg.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208443724 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 136007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 4:18 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 15 = 0, 0*i - 5*i + 5*n = -15. Let v = 5 + i. Calculate the lowest common multiple of 8 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 379 by 1455320.\nAnswer: 379\/1455320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 12:24 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3584365.382 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 13*m**3 + 12*m**2 - 7*m**2 + 9*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -2937070?\nAnswer: -2937062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6784*b**3*p + 12*b*p - 35*b + 94058*p - 3 with respect to b.\nAnswer: 20352*b**2*p + 12*p - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-84*m + 58*m + 269*m)*(m**2 - m**2 + 3*m**3) as i*m**3 + r + w*m + c*m**2 + x*m**4 and give x.\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 3*l**3 + 3*l**2 + 1 - 5*l**2 - 3*l**2 + 4*l**2. Let r be h(1). What is the common denominator of r - (52\/(-24) - 1) and -93\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85106 + 5*b + 6*b + 171242 - 86136.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1048\/7 bigger than -151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 965 - 963. Solve -t*y - 33 = 5*o, -21 = 8*y - 4*y + o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232840238?\nAnswer: 2, 116420119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000248758 to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6824 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -31*i + 5. Let k(u) = -12*u - 9*u - 511 + 5*u + 514. Let j(a) = -3*h(a) + 5*k(a). What is j(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5112, 10487, 16132, 22047, 28232, 34687, 41412?\n\"Answer: 135*a**2 + 4970*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t = -27*t - 56. Let s(n) be the first derivative of -n**3\/3 - 5*n**2\/2 + 3*n - 314. Calculate s(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 2*c - 1. Let s be g(-2). Let f = s - -2. Let u be ((-2 - 0) + f)*-1. Solve -x - 4*m - 8 = 2*x, 0 = -4*x - 3*m + u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*r - 21, -3*w + 4*w = -4*r + 5. Let p(s) = s**2 - 2*s - 1. What is p(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 4*z**4 - 2*z**4 - 3*z**4 + 0 + 0*z**3 + 3*z**2 + 5*z**3 as c*z + w + o*z**2 + y*z**3 + k*z**4 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -17*y**2 + y - 13. Let c(g) = -8*g**2 + g - 6. Let t = 3518 - 3512. Calculate t*q(r) - 13*c(r).\nAnswer: 2*r**2 - 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - ((-912)\/84 + 1). Suppose -24\/7*y - p - 3\/7*y**2 = 0. Calculate y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 16*z - 83. Let s be c(17). Suppose -3*p = -6*p + s. Calculate the remainder when p is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + (-1*sqrt(320))**2 + -4 + (sqrt(320) + (1*sqrt(320)*-6)**2 + sqrt(320) - sqrt(320))*-1 + 3.\nAnswer: -11202 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 28*a - 1. Let i = -2 + 6. Is n(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*h + 19, 5*h - 5*u + 2 - 37 = 0. Which is the biggest value? (a) 4 (b) h (c) 25 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0808087 + 3.0808087. Let b = -2 + 0. What is the closest to b in 0.1, 4, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46183739 take away 0.0544152?\nAnswer: -46183739.0544152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*o + 18 = 0, 37*o + 15 = t + 41*o. Determine b, given that 0 + 2\/5*b**t - 6\/5*b**2 + 4\/5*b = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 197 = -3*h, h - 69 = -o - 8. What are the prime factors of (-4)\/14 + 17217\/h?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0)\/((-2)\/(-12)). Let w = z - -24. Let u(c) = -4*c**2 - c + 45. Let o be u(0). What is the greatest common divisor of w and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29 and 0.13053.\nAnswer: -3.78537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + 8.1. Let f = k + -8.7. Let g(t) = t**2 - 5*t - 5. Let z be g(5). What is the fourth smallest value in -0.3, z, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -70 and 3.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000491993319 rounded to 5 dps?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001819432 to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**3 - 11*y**2 - 3*y**6 - 31*y**3 + 2 + 11*y**3 + 9*y**3 wrt y.\nAnswer: -360*y**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3005698 and 372?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135220.0057 + -135211. Let n = -9 + t. Round n to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48023.58 kilometers in centimeters?\nAnswer: 4802358000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (2 - (0 + -15) - (55 + (-31 - 17))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.105794 minutes?\nAnswer: 546347640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4950\/(-495)*-1*4\/(-2)*-1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53 - 467505?\nAnswer: -467442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 6*l**2 + 4*l + 6. Let i be o(5). Let y = 8 - 72. Let m = y + 68. Solve -i = -m*a + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-5\/7)*z)\/z)\/(z\/(((z\/z**(-13))\/z)\/z)*z) assuming z is positive.\nAnswer: z**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 23, 3 in descending order.\nAnswer: 23, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnpp when four letters picked without replacement from {n: 11, p: 9}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97074 - 64054. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31697113.\nAnswer: 7, 2113, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2269, 5, -3, -62.\nAnswer: -2269, -62, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 506\/19 and 28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51769808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = 0, 0 = 2*d - 2*n + n + 2. Suppose d = -b + 3, 5*b = -0*t - 3*t + 15. Solve -5*q - 1 = x, -2*q + 5*q = t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.054113 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4115975311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780.5769 decades to millennia.\nAnswer: 7.805769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (90\/(-8))\/5*128. Let f = 165 + t. Let q be f\/(-5) - (-10)\/25. Solve 0 = 3*x + 2*x + 5*v - q, 2*x - 4*v - 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**5 - 2*r**3 + 2*r**3)*(1 - 4 + 4) - 4*r**4 - 5571*r**5 + 0*r**4 + 5592*r**5.\nAnswer: 24*r**5 - 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -258, -383, -508, -633, -758?\n\"Answer: -125*x - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 8*h = 8, k - 2*h - h = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4065505785?\nAnswer: 3, 5, 11, 347, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 1. Suppose -8*h + 3*h = 25. Let t be i(h). Let w be t\/(-14) + (-10)\/(-7) + 0. Solve -3 = 4*d + w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5015167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/7080 and -31\/12.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**2 - 52*t + 53. Let z(a) = 4*a**2 - 26*a + 26. Let v(d) = 3*j(d) - 5*z(d). Calculate the remainder when v(26) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*u + 3. What is the second derivative of 7*b**u + 0*b - 3*b - 5*b**2 wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*sqrt(17) - (sqrt(17) - sqrt(612))*-1 - 6*((-3*(sqrt(187) + -2*sqrt(187) + sqrt(187)))\/sqrt(11))**2.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/8 + 997*c**2\/2 - 3967*c\/8 - 19935\/2.\nAnswer: -(c - 3987)*(c - 5)*(c + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 4*g + 5*g)*(-4*g + 4*g - 13*g).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 13*y**2 - 2*y - 1. Let q be o(-1). Suppose 0 = -4*j + 3*c + q, 2*c + 6 = 5*j + 4*c. Let g(h) = -j*h + 4 + 1 - 7 + h + h**2. Calculate g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -1 - (-2 - -3943). Let w = a + 31433\/8. Find the common denominator of w and -37\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-7)*(-2712)\/(-2034)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-340553 + 1308*x**3 + 340553)*(0 + 5 - 6 + (1 - 1 - 2)*(3 - 2 - 2) + (3 - 1 + 0)*(0 + 3 - 1)).\nAnswer: 6540*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 2 - 5*u - 2 - 1. What is the units digit of b(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let q(o) = -2*o + 311. Suppose 0 = x + 5*z + 23, 0*x + x + 7 = -z. Let r(j) = j - 157. Let p(f) = x*q(f) - 5*r(f). Determine p(b(k)).\nAnswer: -k - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 39470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 455.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/18)\/(60975\/(-58536)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*((r*r\/(r**2\/r))\/r)\/r)\/r)\/r*r**0*r*r*r)\/(r\/r**(-1))**(-1\/72))\/((r\/r**(-1)*r)**(6\/17)*r**4\/(r**4*r)) assuming r is positive.\nAnswer: r**(593\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653513.\nAnswer: 7, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(230\/(-45) + 6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5137145.\nAnswer: 5, 13, 17, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 19*a - 30. Let y be b(2). Let p(s) = 1506*s + 179. Is p(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2006576528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -161 (c) 3\/4 (d) 0 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(11) + sqrt(22)\/sqrt(2))*-6)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -31*z. Let g(p) = 1998*p**2. What is g(d(u))?\nAnswer: 1920078*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b**2 + 12*b**2 - 3*b**3 - 62*b**2 + 23*b**2 + 2.\nAnswer: -3*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)*(((i\/(i\/(i*i**6)))\/i)\/i)\/i*(i*i*i**0*i)**(1\/3) assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:37 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -6.8. Which is the closest to n? (a) 8 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 70. Suppose r*c = -0*c + 5*c. Suppose c = -5*k + w - 0*w + 34, -33 = -4*k - 5*w. Let i(q) = -q**3 + 7*q**2 - 10. Calculate i(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267*v**4 + 22134*v - 26756*v - 2*v**3 + 86*v**4 - 1111*v**4 wrt v.\nAnswer: -15504*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 7*y**2 - 8*y + 4. Let o be t(8). Is 9 a factor of 1550\/6 - (42\/(-9) + o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58080 rounded to the nearest one thousand?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 3:28 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 4116.\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3157 by 11.\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 1:34 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-690)\/54 - 4\/18. Let n = 22 + f. Let o(t) = -t**2 + 9*t + 4. Let k be o(n). Solve -4 + 0 = k*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**3\/6 - l + 1494. Let n(x) = 1758*x - 2. Determine t(n(v)).\nAnswer: -1758*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 8*h**2 + 79*h + 320. Calculate k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 1, l: 2}. What is prob of sequence hl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let n(m) = -m**3 + 8*m**2 - m + 6. Let v be n(8). Let g = c - v. Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2278462760 rounded to the nearest one million?\nAnswer: -2278000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k - 1343 = -1643 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (-2480)\/(-616))*-14. Let v(l) be the second derivative of 1\/66*l**4 + 0 + 0*l**3 - u*l**2 - 25*l. Find y, given that v(y) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 + 0*y**2 - 2*y**2 + (-3*y + 1 - 1)*(-y + 2 - 2) - 8*y + y**2 + 8*y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/5 - (-2)\/10. Let r be 1 - ((-3)\/(-9) + z). Which is the nearest to r? (a) 5 (b) -2\/9 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Simplify (-2 + (sqrt(2) - (sqrt(10) - (sqrt(360) + sqrt(10)))\/sqrt(5)) + 1)**2.\nAnswer: -14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*a - 108 + 95 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + 2 - (7 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -650 + 13753419*h**4 - h**3 + 2*h**3 - 13753420*h**4 + 2*h**2 in the form j*h**2 + x*h + w + c*h**3 + o*h**4 and give w.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - 4*q - 6*q + 0*q + 5*q - q + (4*q + 0*q - 3*q)*(-1 - 4 - 4).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 14 + 16. Suppose -d*k = -21*k - 33. What is the tens digit of (0 - (-57)\/(-9))*k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 15 = -4*l. Let p be 1*(238 - 0 - 1). Differentiate -8 + p*x**2 - 2*x**4 - 237*x**l with respect to x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52238077?\nAnswer: 29, 43, 163, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2. Let i(f) = -9 - 2*f - 7 - 7 - 1 + 2. Give i(l(s)).\nAnswer: -12*s**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192079*a**3\/5 + 192089*a**2\/5 + 2*a = 0. What is a?\nAnswer: -1, -10\/192079, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - -48?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 345728 = 47*d. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-33)\/9 + 4)\/((-3)\/(-18)). Let g be 2*(-6)\/4 - y. Which is the third biggest value? (a) 3 (b) 0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w - 2. Let v be k(3). Let b(s) = -s**2 - 6*s + 7 - 8*s - 4 + 19*s. Determine b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 880 = 4*k, -4*v - 247 = -k - 40. What are the prime factors of k?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b - 2*b)*(2 - 2 + 2)*(-5 - 256 - 107).\nAnswer: 3680*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -10, 1\/2, -44511?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-6*(3 + (sqrt(5) - (sqrt(5) + (-1*sqrt(720) - sqrt(720))))))**2 - ((-2*sqrt(2205))**2 + 0 - sqrt(2205))))*-2.\nAnswer: -190370 - 10410*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 303009 and 924?\nAnswer: 13332396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from dddyddydyyydydyd?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*j + 527*j = 272*j - 384. Which is bigger: -17 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654462861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 17596*t + 88030.\nAnswer: -2*(t - 8803)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 150 + 163 - 75 - 797*y**4 + y**3 wrt y?\nAnswer: -3188*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1)*r)**(-23)*(r\/r**0)**(-2\/157))**(-36) assuming r is positive.\nAnswer: r**(390060\/157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 4*q - 7. Let f = 2 - -3. Let d be i(f). Let n = 722 - 725. Put n, 1, d, -1 in increasing order.\nAnswer: n, d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1422*n - 26783 = 1319*n + 181533 for n.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*w - 28, 2*w - 28 = -2*w + 4*d. Let c(y) = y**2 - 4*y + 1. List the prime factors of c(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (26 + -11 - 15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 2\/9 (c) -130190 (d) -5\/3 (e) -2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 8144*a**2 - 5496660*a - 1228691592.\nAnswer: -4*(a + 578)*(a + 729)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-6) - (11457\/(-54))\/19. Let o(c) = 3*c - 31. Let b be o(10). What is the closest to -3 in u, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 250118 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 + 8*t - 6. Let m(v) = 2*v**2 - 9*v + 8. Let k(p) = -6*j(p) - 5*m(p). Let c(o) = o - 3. Let a be c(8). List the prime factors of k(a).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232013 (base 4) to base 9.\nAnswer: 4038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2527134 by 1.\nAnswer: 2527134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 3600.9?\nAnswer: 72018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 - (6 - 64 - -156)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13, 200, 395, 572, 731, 872, 995?\n\"Answer: -9*o**2 + 240*o - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7738641*q**5 - 34*q**2 + 2463*q - 3.\nAnswer: 464318460*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2332581, 2332641, 2332701, 2332761, 2332821, 2332881?\nAnswer: 2332941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.44 from 156917476670.\nAnswer: 156917476670.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = -0*w + 216. Suppose -w*y + 22*y = 10. Put 0, 2, -6, y in descending order.\nAnswer: 2, 0, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 13471.\nAnswer: 28\/13471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/10*560\/2240?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 115.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.12 + -0.12. Let t = k + -3. Put -1, 2\/3, t in ascending order.\nAnswer: -1, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59357402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8045 + -8019. What is the smallest common multiple of w and 916?\nAnswer: 11908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 3:45 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790863?\nAnswer: 3, 263621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 10*g - 6. Let i be c(-4). Let f(k) = -3 - 6*k**2 + 2 + i*k**2. List the prime factors of f(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -24 in ascending order.\nAnswer: -24, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i - 21*i - 243 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let u(s) = 4*s. Let x(n) = -7*n. Let l(w) = -5*u(w) - 3*x(w). Calculate q(l(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/((-2)\/(-1)))\/(137\/(-1096)). Let y = -41 - -19. Let r be 2 + (y\/(-10) - 4). What is the nearest to 1\/2 in r, 1\/2, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15677731.9 rounded to the nearest 10000?\nAnswer: 15680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12542 - 1530125\/122. Which is the third smallest value? (a) t (b) 5 (c) 3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + m = g + 1, 2*g - 3*m = -5. Let c = 88 - 80. Let l be (-1)\/(-2 - c\/(-20)). Which is bigger: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -689 or -14438\/21?\nAnswer: -14438\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*d)*(2*d**3 - d**2 + d**2) - 66*d**4 + 28*d**4 - 55*d**4 - 2*d**2 + 2*d**2 + d**4 in the form z*d**3 + l*d**2 + y + k*d + v*d**4 and give v.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1699 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {u: 3, l: 4, v: 2, j: 2, s: 6}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 8*r**2 + 16*r + 10. Let q be p(5). Solve 5*s - 35 = -4*i, -2*i + q + 4 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 minutes after 1:04 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 282.\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2349622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2 + 10*q. Let b(h) = -15*h**2 - 18*h - 4. Give 4*b(u) + 7*f(u).\nAnswer: -11*u**2 - 2*u - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 5.9. Let i = -1\/77 - 151\/231. Sort 0.3, i, x in ascending order.\nAnswer: i, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 24. Let o be (-3 - 30\/(-9)) + (-59)\/(-3). Suppose 5*j - o = 5*v, 7 - 15 = -2*v. Calculate the highest common divisor of t and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 23. Suppose 0 = 5*c, a + 2*a = -y*c + 39. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201ba (base 16) to base 5.\nAnswer: 13202024","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort -93.7, -1299, 9, -3 in descending order.\nAnswer: 9, -3, -93.7, -1299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -190*u - 1821. Let v be p(-12). What is the highest common factor of v and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7262359 divided by -2?\nAnswer: -7262359\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7)*b\/b**(20\/9)*b)**40 assuming b is positive.\nAnswer: b**(-200\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*z)*(3*z + 3*z - 5*z) + 0*z**2 + 0*z**2 + 2*z**2 + (z**2 + z**2 - z**2)*(8 + 0 - 3) + 3*z**2 + 2*z**2 - 6*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4396271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*q - 9. Let u(o) = -q*o + 2*o + o - 4. Let w be u(6). Solve -6 - w = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165612053 (base 7) to base 13\nAnswer: 2491151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36674319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 37*j**2 + 57*j + 468. Calculate p(-38).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diugc. What is prob of picking 1 i and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 307 + -8aa418?\nAnswer: -8aa111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 s when three letters picked without replacement from mgcgsgggmcgscqsmmgs.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/k)**(-4\/17) assuming k is positive.\nAnswer: k**(44\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 85001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -83 (b) -1\/192 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.375097 to three dps.\nAnswer: -0.375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 15. Let g = q - -2. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/10)\/((-5)\/(-1760)*-4). What is the greatest common divisor of 3344 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 1\/6 (c) 1\/17 (d) 3 (e) 7 (f) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24017060 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12435756 is divided by 829050.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -y - 5. Let p(u) = u**2 + u - 5. What is the remainder when p(5) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 4*s**4 + 7*s**3\/3 + s**2\/2 - 27*s + 39. Is v(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*s - 52 = -168*s. Let q(p) = p**3 - 4*p**2 + 4*p - 10. Give q(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20702472000 rounded to the nearest one million?\nAnswer: -20702000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2943 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -0.8, -1\/6 in ascending order.\nAnswer: -0.8, -1\/6, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739*c - 2346 - 18636 = -68*c for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + h + 25 = 0, -h = 6 - 1. Suppose 0 = -2*p - 0*p + 8. Let b(z) = 2 + 0 - p*z - z**2 + 2*z. Calculate b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Let v(h) = -7*h**2 + 3*h. Let t(q) = -21*q - 2*q + 16*q + 15*q**2. What is j*t(b) + 7*v(b)?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21*(-9)\/315)\/(6\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbfodfiffooiih. Give prob of picking 1 b and 1 d.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -25. What is the smallest common multiple of v and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 396 + -393. Solve -4*p + 3*y = -0*y + 20, -15 = q*p + 5*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:19 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6*z + 2 = 0. Suppose -z*d = -3*d + 6. Suppose -3*u - t = -16, -2*u = -3*t + d*t - 13. Solve -u*v + 0*v = 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266941993 to the power of 1\/2, to the nearest integer?\nAnswer: 16338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-4)\/(-201 - 3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (30 - -2) + -16\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 81 - (-1183 + 1194).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/18847? (a) 4 (b) 3 (c) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3 = 21916*p - 21916*p, -3*p + 23*z - 153 = 0 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-35)*-5)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -1\/4*x**4 + 7 + 0*x + 0*x**3 + 1\/2*x**2. Let t(o) = o**3 + o - 2. Let r be (2 - (-1 - -2))*1. Determine r*v(m) - t(m).\nAnswer: -2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 498712335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*d**3 - 844026*d**2 + 576137820*d + 302284872 = 0 for d.\nAnswer: -54\/103, 1366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*s - 7, 0 = 4*q - 5*s - 3. Let r be (-4)\/(-10) - 17\/5. Let f = 0 - r. What is the smallest common multiple of f and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvll. Give prob of sequence ll.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002641319 rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -31947094.\nAnswer: -31947099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 7 + 0)*5. Let b be 6\/(-18) - k\/(-9). Let -3*z**5 + 11*z**2 + 3*z**3 - b*z**4 - 8*z**2 + 0*z**5 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76, -292, -906, -1766?\n\"Answer: -123*m**2 + m + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -919*o + 6502925*o**2 - 11*o**4 + 154*o - 6502925*o**2 - 2*o**4 + o**3 in the form x*o + j + b*o**2 + d*o**3 + f*o**4 and give x.\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 15 - (7 + 2 + 6 + -26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 262*t**2 + 262*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/4)\/(1\/(-1)). Find the common denominator of 1\/22 and (-3885)\/2250 - 5\/t.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9940)\/2698*152\/(-16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 53. Let s be (-13)\/(-3) + 3\/(-9). Suppose 5*r - m + 7 = 36, -s*r + l*m + 32 = 0. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1741015039?\nAnswer: 179, 761, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 135815807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*l**3 + 24*l**3 - 55*l**3)*(3 + 2 - 4) + 11*l**3 + l**3 - 2*l**3.\nAnswer: 87*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 - 2*l - 2)*(-1 + 3*l + 1).\nAnswer: -6*l**2 + 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 303672657 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/19)*v**(-6))\/(v\/((v*v**(2\/5))\/v))**(5\/7) assuming v is positive.\nAnswer: v**(-736\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22274 or 4152?\nAnswer: -22274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -415798 divided by 90\nAnswer: -207899\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 8182\/109 and 75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 8 = 4*q, -19*b + 46*b - 31*b = -21 + 13 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-246)\/(-12)*-8 - -2. Let z = w + 167. Let o be (-32 + 2)\/((-9)\/6). What is the greatest common divisor of z and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1)*s)\/s*s**5)**(-15\/7)\/(((s\/(s\/(s**(-4)*s)))\/s)\/s*s**(1\/6)\/s)**15 assuming s is positive.\nAnswer: s**(1075\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.2, -2\/15, -15\/26?\nAnswer: -15\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8016\/(-3968) + 2)*12\/15\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 9671*a - 9669*a + 0*a**4 - 2*a**3 + a**4.\nAnswer: a*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*h + 56 = -81, 3*h + 123 = 3*u. Suppose 4*f = -3*d + 30 + 34, u = 2*d - 2*f. Solve 0 = -5*a + 2*j - d, -4 = 3*a + 2*j + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71920778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/20*(2 + -30). Suppose -3*g = -n*g + 20. Suppose g*x - 77 = 198. Calculate the highest common factor of 22 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/10 and -103\/69430?\nAnswer: 69430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 1, a: 3, l: 10}. Give prob of picking 1 a and 2 l.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**5 + 17*a**5 - a + 4*a wrt a.\nAnswer: 260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*x - 291*x = -9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5295 - 29*w + 9*w**2 + 27*w + 2953*w**4 - 11*w**2 + 750*w**4 wrt w?\nAnswer: 14812*w**3 - 4*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (11 - -24) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 585202 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*15\/(90\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**3 - 6*c**2 + 46*c - 91. Calculate z(3).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891*l**2 + 777*l**2 + 873*l**2.\nAnswer: 2541*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -1401 - 153866. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1455 is divided by 289?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4806\/623*(1\/(-4) + (38 - (-1488)\/(-32))).\nAnswer: -135\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221100 (base 3) to base 11.\nAnswer: -572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 65198.855 + -0.1\nAnswer: 65198.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 2*t**2 - 3. Let o(j) = -j**3 + 3*j**2 - 6*j + 21. Let u be (152\/20 - 7)*(5 - 0). Let g be o(u). Calculate n(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4381\/273 - 18 - (-2)\/((-18)\/(-15)). Sort -5, -1\/4, p, 0.022, 2\/7.\nAnswer: -5, p, -1\/4, 0.022, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -19*z. Let o(w) be the first derivative of w**5\/30 - 6*w**2 - 16. Let b(u) be the second derivative of o(u). Determine b(x(t)).\nAnswer: 722*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5031211*b - 25156051. Determine z(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/4 - 42121*o\/2 + 1769523\/4 = 0.\nAnswer: -84263, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 6*y**2 - 4*y - 3. What is b(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.127977?\nAnswer: -0.639885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 3*w - 15. Let d be c(5). Solve d = u - 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2. Let j(o) = 30*o - 80. Let g(b) = b - 2. Let s(r) = -40*g(r) + j(r). Determine s(i(w)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10455\/12177 + (-35)\/55.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 + -68. What is the common denominator of ((-155)\/n - 2)\/((-6)\/(-2)) and 34\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 24. Let y(t) = -t + 26. Let a(b) = -7*o(b) + 6*y(b). Give a(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -159 + 126 + 69, 3*c - 90 = -9*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3352443 is divided by 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3487 - 3486. What is the closest to -0.3 in 1\/2, 0.05, i, 11?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 658, -1\/4?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164156*v + 1 = -2*a - 164159*v, 31 = -2*a + 3*v for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2494*a**3 - 18 + 577*a**3 + 724*a**3 + 557*a**3 + 18.\nAnswer: -636*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6898*r**3 + 27101*r**3 + 40793*r**3.\nAnswer: 60996*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwgw. What is prob of sequence gg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -249508?\nAnswer: -11\/249508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2. Let r(m) = -4*m**2 + 3*m. Let a = 5 - -3. Let c = -11 + a. Let i(h) = 3*h**2 - 2*h. Let b(w) = c*i(w) - 2*r(w). What is b(q(d))?\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u + 6. Let o be g(19). Let y be (-36)\/45*(-31 + 1). Let j = y + 0. What is the highest common divisor of j and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1\/4 (c) -0.04 (d) 1.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 - 3*z**2 - 3*z**2)*(2 + 13*z - 9*z + 0).\nAnswer: 4*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(144)\/sqrt(6)*1)\/((-6*sqrt(108) + sqrt(108) + sqrt(108))*6).\nAnswer: -5*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -167.808.\nAnswer: -169.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 21*x + 172. Let o be r(-8). What is the third derivative of -792*l**6 + 834*l**6 - 3*l**o - 8 - 48*l**2 + 6 wrt l?\nAnswer: 5040*l**3 - 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 704 = -4*f + 2*q, 5*q = 4*f + 749. Let x = -109 - f. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283853.\nAnswer: 373, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 433112*j**2 - 4*j + 433112.\nAnswer: 4*(j - 108278)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 269*z - 5*z**3 - 272*z + 3*z**3 + 1 + z**4 as q*z**4 + b + c*z + t*z**3 + h*z**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14145 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10 - (3\/2 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3294120?\nAnswer: 2, 3, 5, 97, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1 (c) 0 (d) 6 (e) -12 (f) -0.3 (g) 69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122 + 2344?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -23220 (base 4) to base 3\nAnswer: -1000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 883768531\/27090 + 162523\/1935. Let l = -32708 + r. Let c = l + 3\/10. What is the third biggest value in 0.1, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(42310 + 4 + -1 - 3). Round u to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 578 = -802. Suppose -278*j + n*j = -2. Put j, 5, -3\/7 in descending order.\nAnswer: 5, j, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -8920\/9 less than -992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 1, l: 1, i: 2}. What is prob of sequence iw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*m + 230, 19 = -d + 2*d + 5*m. Suppose 5*l + y = l + 127, 4*y + 119 = 3*l. What is the highest common factor of l and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 62 = 3*q + 2*q, 2*n - 20 = 2*q. Let j be (-6)\/(-2)*q\/9. Let c be 0 + 4 + (-4)\/j. Solve -3*s - 4 = 5*k, 0*k - c*s - 19 = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20210022 (base 3) to base 6.\nAnswer: 34525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 21*r**4\/4 + r**3\/6 - 466*r**2 - 44*r - 1. What is the derivative of f(g) wrt g?\nAnswer: 126*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 1, y: 1}. What is prob of sequence yl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1080 and 37\/857520?\nAnswer: 857520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*f*o - 166*f*r - f - 2*k*o*r - 7*k wrt r?\nAnswer: -166*f - 2*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3267414 and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 44*c**2 - 11*c - 11. Let t(j) = -9*j**2 + 2*j + 2. Determine 4*h(s) + 22*t(s).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 32 = 13*f. Let x be f*((-28)\/8 + 2). What is the common denominator of (-4)\/x - (-64)\/66 and 107\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -56*b - 14*b. Solve -b*z = 10*z - 42 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -1, 1\/19 in descending order.\nAnswer: 0.8, 1\/19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*m - i, -i - 20 = m - 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 4*w + 4. Let y = 3105 + -3102. Let t(o) = 3*o - 3. What is y*b(k) + 4*t(k)?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 = 4*a - 429. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*t = -t + 2, -3 = -k - 2*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 6*r - 6. Let c be n(-4). Suppose 5*g + 700 = -7*z + 9*z, -542 = 4*g + 2*z. Let a = g + 134. Sort -1.6, c, a.\nAnswer: a, -1.6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1471*c = 1473*c + 22 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, l: 7, e: 3, v: 2, t: 1}. Give prob of sequence etv.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 - 27*d**4 + 0*d + 3*d + 9*d**3 + 17*d**2 = 0. Calculate d.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 2*p**2 + 3*p + 0 - 1\/3*p**3. Let h(u) = -1. Let j(c) = -f(c) - 4*h(c). Let k(q) = q**2. Determine k(j(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-190.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-9)*o)**(2\/135)\/(((o**(-41)*o)\/o)\/(o\/o**40)) assuming o is positive.\nAnswer: o**(292\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-6 + 27)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.402 to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3 + 208*s**2 - 2704*s = 0.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*g + 43*g = -354. Suppose a = 6*a - j - 10, -5*a - 4*j = -35. Suppose -3*b = -4*b - a, 5*f + 4*b = g. What is the greatest common factor of f and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3 + 50*r**2 + 108*r = 0?\nAnswer: -2, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160\/174*(-3)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 77*p - 76*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 405 + 24?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.856055 nanometers in centimeters?\nAnswer: 0.0000006856055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c + 321 + c**2 - 41 - 6*c**2.\nAnswer: -5*c**2 - 17*c + 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.1 (b) 195 (c) 7 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/9)\/y*y*y\/y**8)**(12\/13))**(1\/35) assuming y is positive.\nAnswer: y**(-248\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:06 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5))**17*h**(-2)\/h*h*h**8*h assuming h is positive.\nAnswer: h**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 12:21 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14111 (b) -7 (c) -0.3 (d) 5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-8)\/10*75\/(-10). Find the first derivative of -10 + 18 - h*m**2 - 13 wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42*-2*7*(-2)\/(-98).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let y be (12\/(-7))\/((-3)\/14). Let i be -1*2\/(y\/(-28)). Solve -j = -4*n + i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906848615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 125 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28341 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -164, 2 in descending order.\nAnswer: 2, 3\/7, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 35 = -49. Suppose -n*j + 890 = -4*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-4\/3)))\/((o**(-6)*o)\/o*o)*(((o**(-6)*o)\/o)\/o)\/(o\/((o*o\/(((((o**(3\/11)\/o*o)\/o)\/o)\/o)\/o*o))\/o)) assuming o is positive.\nAnswer: o**(68\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24576 * -0.2\nAnswer: 4915.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1171\/7 - (-2)\/(-7). Does 21 divide 1\/4 + d\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Let f be 0 - (m + -4 - -1). Is 236 + (3 - f) + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -19*b**2. Let g(d) = -39634*d. Calculate t(g(a)).\nAnswer: -29846225164*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63*568\/(-1491))\/5?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/126)\/((-424)\/(-10)*695\/1946)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 2408?\nAnswer: 2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 497\/2*(-187 + -13). Round r to the nearest 1000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67, -95, -247, -383, -497, -583, -635, -647?\n\"Answer: q**3 - q**2 - 166*q + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 376*p + 1093*p - 380*p + 2 - 401*p.\nAnswer: -64*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.6+0.72982\nAnswer: -1.87018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 806090 divided by 2705?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 17*i - i**3 - 19 - 11*i**2 - 2*i**2 - 4 + 3*i**2 - 13. What are the prime factors of h(-16)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -32*n**3 + 25*n + 113. What is the units digit of d(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and 1484159.\nAnswer: 80144586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -19. Which is the third biggest value? (a) 4 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 9*m**3 + 3*m**2 - 22*m + 3. Let d(s) = 8*s**3 + 3*s**2 - 17*s + 3. What is -4*d(g) + 3*h(g)?\nAnswer: -5*g**3 - 3*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 628055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 713, 640, 565, 488, 409?\n\"Answer: -c**2 - 70*c + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 466\nAnswer: -1864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5741, -11480, -17223, -22970, -28721, -34476, -40235?\n\"Answer: -2*u**2 - 5733*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2705*-165668\nAnswer: -448131940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 401*c**2 - 4*c + 3. Let g = -160 + 161. What are the prime factors of v(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evvn when four letters picked without replacement from {v: 2, i: 1, n: 1, y: 1, e: 2, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*x**5*z**3 - 61*x**5*z + 62*x*z**3 + 32*z**3 wrt x?\nAnswer: -780*x**3*z**3 - 1220*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430 (base 10) to base 3.\nAnswer: 120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 9*j**2 - 58*j - 18. What is the remainder when t(15) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*k - 209*k = -100*k - 80 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93627.800004 - 93628. Let l = 0.2 - 0.4. Let r = o - l. Round r to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 29*w - 94. Let p be j(32). Let q be 1*((-8)\/(-24))\/(p\/(-282)). Is -49 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417061467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 13 + 21 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 8:59 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10)*-5*9. What is the highest common divisor of 45 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -27\/2 (c) -1 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**5\/5 - 1268*m**4\/5 + 25643*m**3\/5 - 150534*m**2\/5 + 208656*m\/5 = 0.\nAnswer: -1288, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.8767 to 0 dps.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -t - 5*i, 8 = -2*t - i - 0. Which is the smallest value? (a) -6 (b) -0.32 (c) t (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242140 (base 7) in base 6?\nAnswer: 535341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/8 (b) -0.2 (c) -1881 (d) 5\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 1\/5, -0.19, 0, -2\/3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 1, 5.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8256*c + 13*c**3 - 4*c**3 + 8256*c.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17729*c**2*p**4 + c**2*p - 11*c**2 + 492*p wrt p.\nAnswer: -212748*c**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 224*r**2 - 2*r - 443. What is z(-224)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16940)\/5082)\/(10\/468*-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.862 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22032.5 + 22032. Let p = -0.37 - -0.07. Let n = -3.3 - p. What is the biggest value in k, -5\/2, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -78.5951 and 1.55.\nAnswer: -77.0451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5716.\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3003.113 and -0.05.\nAnswer: 150.15565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7740)\/125)\/(2\/210). Let n = z + 6394. Let j = -108 - n. Which is the smallest value? (a) -5 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = 6. Suppose -2*h - 8 = 0, -8*m = -5*m + h - i. Let w be (-18)\/m*1\/(-4). What is the biggest value in -0.4, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410, -778, -1146?\nAnswer: -1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19 - (1\/3)\/(23\/138). Let g = 3 - 4. Let f = 14 - g. Solve q = -4*m + 3*w, 2*m - 5*w - f = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0667 + -405.9333. Let n = -402 - v. Is 39 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/225741 + 75245\/451482. Let 0 - 1\/6*q**3 - k*q - 1\/3*q**2 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**2*u**4 - 389*t**2*u**2 + 2*t**2 + 58178*t*u**4 + 2*t*u**2 - 3*u wrt u.\nAnswer: -48*t**2*u + 1396272*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by -3\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 - t**4 + t**4 + (6*t**4 - 3*t**4 - 5*t**4)*(0 + 0 - 2*t) - 24*t**3 + 24*t**3 - 13*t**5 + 0*t**5 - t**5 + 0*t**5.\nAnswer: -13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 36 = 4*u - 2*y, -2*y = -3*u + 16 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -252\/25, -0.2, 31264?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - -4 - (30 - (9 + 31)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -167708 minus -37557926?\nAnswer: 37390218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/90)\/((-170)\/1275)\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -104, -122, -146, -176, -212, -254?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*q - 1012200 = 35*q - 36*q. List the prime factors of q.\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9954.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -11100011111?\nAnswer: 11100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018791.\nAnswer: 3, 97, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*((-5)\/15 - 0). Let w(m) = 25*m - 14 + 6 - i*m**2 + m**2 - 5. Let k be w(12). Sort 1, k, 3 in ascending order.\nAnswer: k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwnuunnwnnnnnww. Give prob of picking 1 u and 1 w.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**4\/6 - 5*y**2 - 39. Let f(r) = 11*r**2. Give f(l(u)).\nAnswer: 176*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n + 12 = 0. Solve n*j = -m + 21, 0*j + j = -m + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/12 + y. Let j(d) = 41159*d - 81990*d + 41138*d. Give j(p(x)).\nAnswer: 307*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/18708 and 109\/6314.\nAnswer: 59061156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 58. Suppose 7*f + 209 = 2*n + 4*f, f - 411 = -b*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 + 243 + -13 + 1 + -1 + 3 + 8?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2 - 4 = 2*h, 4*l - 2*h - 10 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (24 - (6 + -3 - -7))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-1 - -12 - (25 + -26 + 8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 125.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 12. Let x(l) = 7*l**2 + l. Give x(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -6\/5 (c) -0.3 (d) -1\/4 (e) -0.11 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 159337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*o + 569*o + 938*o.\nAnswer: 1622*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6*j = -336, -j + 233 = z + z. Calculate the remainder when 216 is divided by z.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1526604 or 1526746?\nAnswer: 1526746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 8:38 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {f: 1, d: 4, u: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3827264900?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 65. What is the remainder when (q - 0)\/((-12)\/(-2136)) is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94178 is divided by 819.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.659758 times 631?\nAnswer: -1047.307298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 53. What is the second biggest value in w, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 6. Let p(r) = r**3 + 2*r**2 + r + 1. Let z be p(-1). Let v(t) = -1. Determine z*w(g) + 3*v(g).\nAnswer: -2*g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56 - -790?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -35. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 2094*k**2 + 547056*k + 549152.\nAnswer: 2*(k - 524)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 - 2\/(0 - 2). Suppose -16*o = -17*o + c. Calculate the remainder when 68 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 21*k + 7 + k to l*k + q and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/21*21\/56*10\/15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21211472 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.014 + -16.063. Let z = -7 - p. Let m = 0.0267 - z. Round m to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-1*8*(-11)\/((-55)\/5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Let d = 2 + 2. Suppose -a*j - 55 = -3*c + 3*j, -d*c + 81 = j. Calculate the lowest common multiple of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/t)\/t)**(-2\/43)\/((t*t**(-2\/33))\/t*t\/(t*t**(-1\/9))) assuming t is positive.\nAnswer: t**(-611\/4257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 3)\/((-6)\/57). Let l(x) = 10*x**2 + 3*x + 2. Let u be l(-2). Let h = u + m. What is the remainder when 49 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*s - 23 - 17, -2*s - 3 = f. Suppose 6*h = h - 25, h - f = 5*w. What are the prime factors of (-216)\/20*5\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -487325 (base 12) to base 13\nAnswer: -321353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 11 + 1 = 0. Solve 1 = l - z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 + 11536*v**4 + 16611782*v**3 - 66828096*v**2 - 282493224*v + 999479520 = 0 for v.\nAnswer: -2886, -4, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.79232*-4001\nAnswer: 11172.07232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Let p = -55 - -52. What is the units digit of (-2 - u)*1*p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3002095167 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 13*j**2 + 14*j - 17. Let d be s(12). Suppose -3*i + 5*g + 51 = 0, -1 = i - g - 16. Solve -w = -i + d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/5 + 172*x**2\/5 - 338*x\/5 + 168\/5.\nAnswer: -2*(x - 84)*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -32.09. Which is the second smallest value? (a) j (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2710390*q - 20 - 2 - 1369615*q. Let c be r(-4). Let s be c\/8 - (3\/4 + -1). What is s rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -536983 and 139519?\nAnswer: 676502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2+1214324.38\nAnswer: 1214326.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -1.7203, -1\/3, -169?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 41. Suppose 0 = -3*z + 9, -i - z - m = -0*z. Let k = 31 + i. Calculate the highest common factor of k and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2 = 0, 2*j + 11 = 7*j + 5*p - p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.1 + 46.9. Which is the closest to g? (a) -0.1 (b) 3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (0 + -1 + -6 + 3). Suppose j*b = 11*b + 125. Let i be (2560\/b)\/((-2)\/71875). What is i rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9762*b + 29249. Determine s(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1576.9954136 + -1577. What is d rounded to 5 dps?\nAnswer: -0.00459","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-5) - (-28614)\/95?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/((-55)\/((-11000)\/(-16))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m**3 - m**2 - 3*m**2 + 72*m**3 - 39*m**3 + 6*m**2.\nAnswer: -2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (14 - -2 - 12).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let f(h) = -3498*h. Give f(a(u)).\nAnswer: 3498*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-2*sqrt(1134) - sqrt(1134)) + sqrt(1134) + sqrt(1134)) - sqrt(1134))\/((sqrt(147)\/sqrt(3))\/sqrt(7) + sqrt(77)\/(sqrt(33)\/sqrt(3))).\nAnswer: 27*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -666? (a) 0.3 (b) 1.8 (c) -3 (d) -2 (e) 6.65 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-4))\/((-6)\/(-24)). Let t be 56\/10 - (-6)\/y. Solve 5*k = -t*h + 10, 4*h = 2*k + 3*k + 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6640?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-3)))**(-2\/15) assuming d is positive.\nAnswer: d**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1645.4 + 1628. What is the fourth smallest value in -0.3, -2\/5, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245525 - 245525 - 681*d to the form m + x*d and give x.\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 5*a**2 - 5*a + 5. Let r be i(-6). Let b be 3 + (-3 - (0 + r)). What are the prime factors of (-4)\/(b*-2) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1955.6 - 1958.05. Which is the second biggest value? (a) -2 (b) -2\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*n - 4*l, -l + 4 = 9*n - 8*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**4 + 5170*k**3 + 20795*k**2 - 36280*k - 51900 = 0?\nAnswer: -5, -1, 2, 1038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(-1)))**32*(h*h\/(h**(1\/4)\/h))**(18\/11) assuming h is positive.\nAnswer: h**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.008 - 0.608. Is f > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 30*v. Let b(c) = 58663*c + 3. Calculate n(b(y)).\nAnswer: 1759890*y + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -70977, -142039, -213101, -284163, -355225?\n\"Answer: -71062*j + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1891\/2 or 945?\nAnswer: 1891\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 336\/6720 - (-2)\/(-8). What is the nearest to -1\/13 in 2\/3, 1\/5, -2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10639 = 2*y - 8*d + 10511, -2*y + 3*d = 5*d - 108 for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44153*s + 44170*s - 88346*s + 20.\nAnswer: -23*s + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqgggdgudud. Give prob of picking 1 u and 1 n.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22239 + 22242. Suppose -5 = 5*s - 20. Solve 6*r = 4*r + s*k - 11, -r - 13 = -j*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f**3 + 10*f**2 + 17*f + 11. Let g(p) = 17*p**3 + 12*p**2 + 17*p + 12. Determine -6*g(y) + 7*h(y).\nAnswer: -11*y**3 - 2*y**2 + 17*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.29. Let r = y - -2.99. Let h = r - 3.4. What is the second smallest value in -5, h, -1\/10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4400, 17493, 39276, 69749, 108912?\nAnswer: 156765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42706 is divided by 116?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.472 - 0.0444.\nAnswer: -13.5164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754780 is divided by 2576.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Let i(a) = 1 + 0 - 3 + 16 - 18 - 2*a. Calculate i(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.420406 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + (-575)\/15)\/(2\/(-12)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -13 - 10 - h + 17. Let o = -14 - -5. Let s be t(o). Solve s*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -265.873 + 266. Let i = 0.027 - l. Sort -6\/7, 0.5, 1\/6, i in descending order.\nAnswer: 0.5, 1\/6, i, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15389, 61686, 138847, 246872, 385761?\n\"Answer: 15432*s**2 + s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -39453 != -39453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f - 32. Let j = -9286 + 9270. Let b(i) = -3*i + 11. What is j*b(v) - 5*c(v)?\nAnswer: -2*v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 812556 and 14626021\/18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttcct. Give prob of picking 1 c and 2 t.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228301, -228302, -228303, -228304, -228305, -228306?\nAnswer: -228307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-45))\/((-16)\/24).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13833 and 2862?\nAnswer: 82998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15254001 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5466*q + 2886*q - 1035648 for q.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 3 + 6*w**2 + 2*w**2 - 5*w**2 + 5*w**2.\nAnswer: 13*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + 5\/(20\/(-12)). Suppose s*h - 4*n = -25, -3*h - 3*n = h + 51. Let f = 13 + h. Sort -6, 3, f in ascending order.\nAnswer: -6, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4007 - -4007. Sort 2, d, -3, 7, -1.8 in ascending order.\nAnswer: -3, -1.8, d, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47805 * 7.74.\nAnswer: 370010.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15*(-4)\/(-2 - -6). Suppose -j - 21 = -3*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.0705 - 2.0705. What is the third biggest value in f, 0, -9\/8, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(11\/2))\/q*q**(-20)\/q)\/(q\/(q*q**(14\/9)\/q*q*q))**34 assuming q is positive.\nAnswer: q**(1285\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/26 - 102505\/22477. Sort 0.2, o, 0.3, -2\/3 in decreasing order.\nAnswer: 0.3, 0.2, -2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -7.01, -4, -3?\nAnswer: -7.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:24 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3187\/13 - 245. Let g = -19 + 14. Let p = g - -9. Which is the third smallest value? (a) r (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 47485827427 and 0.3.\nAnswer: 47485827427.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3557020401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 12 in ascending order.\nAnswer: -2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 4*b + 2*m - 6, -12 = -4*b - 4*m. Let k = b - -2. What is the second derivative of 5*u**k - 6*u + 0*u - 2*u + 4*u wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1297271\/37 + -1525736365\/43512. Let j = -4\/147 + s. Which is smaller: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230832 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirty sevenths of a week?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-10) - 18\/(-10). Let y be 2*8\/(-16) - -5. List the prime factors of y\/(-8) + 279\/q.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 497*a + 7. Let v(k) = 22*k**2. What is b(v(f))?\nAnswer: -968*f**4 - 10934*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1174972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u - 5*d + 80, -4*d = -4*u - 148. Let r be u\/5 - -3706 - -1. What is r rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in -2\/7, 0.07, -0.3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013782 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8*i + 2 = -7*i, 4*y = -2*i - 16. Which is the nearest to -11? (a) 4 (b) y (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 + 131*v + 185*v + 177*v + 202*v - 874*v + 179*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllqllqll. Give prob of sequence lll.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 136420, 273102, 409784, 546466?\n\"Answer: 136682*c - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 6*u = -40 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = -36. Calculate the smallest common multiple of 10 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.66 + 25.76. Put -5, -4, -1, l in descending order.\nAnswer: l, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1791 and 268947.\nAnswer: 53520453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d + 9*d + 3*d)*(-9 + 0 + 4 + 3 + 0 - 4 - 1 + 0 + 0 + (1 - 4 + 1)*(-2 + 2 + 1) + 4 - 2 - 3 + 0 + 1 + 1 + 4 + 0 - 1) - 2 + 2*d - 9 + 3.\nAnswer: -113*d - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.9106ml in litres?\nAnswer: 0.1219106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6030 = 4*w - 19*w. What are the prime factors of w?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 5*t**2 + 7*t - 10. Let r be m(4). Let a be (-2)\/r + (4 - 1). Solve 0 = a*f + f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80.63 - 81. Let l = c - 0.03. Sort 1, 3, l.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (18 + -20)) + -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - x - 3*x + (-3*x - 3*x + 5*x)*(3 - 2 + 1) - 4 - 2*x + 4 - 3*x + 4*x + 0*x + 3*x - 4*x + 3*x - 6*x - 4*x + 0*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-49*g - 25*g + 30*g)*(4*g + 2*g**2 - 4*g) + 4*g**3 - 2*g**3 + 0*g**3)*(0*g - 2*g**2 + 0*g).\nAnswer: 172*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 25, -14, -89, -212?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -223?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*n + 17 = -7*n, 0 = t - 2*n - 8. What are the prime factors of t\/(8\/50)*(0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -93657, -187262, -280867, -374472, -468077?\n\"Answer: -93605*h - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**2\/5 - 105336*o\/5 - 6122944\/5 = 0.\nAnswer: -58, 26392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19862 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3569547 and 670937?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21510 by 5.\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*s - 13 + 41, 2*d + s = -21. Let l(n) = -n**2 - 10*n - 8. Let p = 6 + 21. Calculate the remainder when p is divided by l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93093*b + 68126.\nAnswer: -93093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 + 2 = 0. Is 0\/(3\/y) - -66 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616.1058ml to litres.\nAnswer: 0.6161058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14*s - 22. Calculate the remainder when 134 is divided by b(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 28 = 4*x. Does 7 divide 14\/(6 - 0 - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24044 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:32 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.121 plus 28024993?\nAnswer: 28024992.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7396 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 326 (c) 8 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**3 - 3*m**2 + 5*m - 9. Let n(o) = 3*o**3 + 2*o**2 - 2*o + 3. Let j(q) = -q**3 - q**2 + 1. Let c(h) = -j(h) - n(h). Calculate 5*c(g) - 2*z(g).\nAnswer: -2*g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*u - 153*u = -10, 4*f = 3*u + 1066. Calculate the remainder when f is divided by 128.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4469\/520 - -69\/8. Put 0.5, b, -0.5 in decreasing order.\nAnswer: 0.5, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -3*g + 173. Suppose o = 3*o - 32. What is the highest common divisor of g and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19314 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + o**2 - o. Let l(z) = 6*z**3 + 4*z**2 - 10*z - 4. Give -4*a(k) + l(k).\nAnswer: 2*k**3 - 6*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/53, 1, 11, 104, 2 in descending order.\nAnswer: 104, 11, 2, 1, 2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8 = -8, -5*l - 42 = 3*x. Let i(c) = -40*c + 1. Let u be i(-1). Suppose 2*y - u = -49. Sort l, y, 0, 5 in ascending order.\nAnswer: l, y, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -16*h**3 + 5*h**2 + 91. Let j(f) = -19*f**3 + 6*f**2 + 92. Calculate -6*j(a) + 7*q(a).\nAnswer: 2*a**3 - a**2 + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 17*a - 37 = -24*a, q + 4*a - 4 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6058095 divided by 3.\nAnswer: 2019365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**4 + 8 - 151*i**3 + 133*i**3 - 2*i**4 + 8 + 2*i**2 wrt i?\nAnswer: 24*i - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 90 = -830. Solve -86 = 41*v + p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-59 + 71 + -26).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73816896 is divided by 121?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 109. Let o be h\/(-42)*(-18)\/24. Let t = 0.2 + -0.1. Which is the second biggest value? (a) o (b) t (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 8 - -5) + (1 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 995\/42 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2220.652 centimeters?\nAnswer: 22206520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41922, -83936, -125950, -167964?\n\"Answer: -42014*l + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q = -18. Is ((-236)\/q)\/((-2)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6587 + -624. Is 67 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 7*l - 40. Let u be 1 - (-1)\/((-1)\/(-1)). Let c be u\/(-6) + 124\/12. Calculate the greatest common factor of c and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1119*s**3 + 22*s**2 - 79*s + 176. Let k(r) = 224*r**3 + 4*r**2 - 16*r + 35. Let m(b) = -2*d(b) + 11*k(b). What is the units digit of m(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 36*b. Let p(h) = -46661*h**2 - 1. What is p(w(k))?\nAnswer: -60472656*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 111.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208698025.\nAnswer: 5, 8347921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u**2 - 7*u + 29. Let d(t) = 19*t**2 + 15*t - 55. What is 6*d(y) + 13*k(y)?\nAnswer: -3*y**2 - y + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3168)*4)\/(sqrt(24)\/(1*sqrt(12)*-6)) + 0.\nAnswer: -576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152 + -142. Let p be (-10)\/2 - (-16 + r). Solve 0 = -4*u - n + 5 - p, 5*u + 2*n - 8 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from {k: 5, y: 1, o: 1, v: 5, m: 2, b: 2}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/12 - u**3\/6 + 623*u**2. Let x(t) = -t**2 - t. Calculate q(a) + 6*x(a).\nAnswer: -a**2 - 6*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 4*x**2 + 8*x + 4. Let r(j) = -3*j**3 - 12*j**2 + 25*j + 11. Let d(s) = 7*m(s) - 2*r(s). Let o be 94\/423 - 94\/18. Determine d(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -2*p**6\/3 - 11*p**2\/2 + 19*p. Differentiate c(k) wrt k.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -12*m + 6. Let u(r) = 42*r - 21. Let t(q) = -18*i(q) - 5*u(q). What is the tens digit of t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 0)*2\/3. Let i(w) = -w**3 + w. What is i(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 2*g**2 + 3*g - 3. Let a be y(2). Determine o so that -o**4 + 0*o**a - 2*o + 1 + 2*o**3 + 0*o**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138029645\/351892 + 2\/87973. Let h = f + 4543\/12. Let y = 44235\/19 + -2330. Calculate the common denominator of y and h.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 441 and 27?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29650699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1983 + 1992 - 2*r**2 - 3*r**3 + 5*r**3 - 4*r to the form u*r + n*r**2 + s + l*r**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4445\/6 - 4841\/12. Let d = c + 1167. Find the common denominator of -4 - -4 - (-114)\/4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + p. Let a(h) = 6*h**2 + 5*h. Let s(j) = a(j) - 5*x(j). Let f(d) be the first derivative of 0*d + 4\/3*d**3 - 6 + 0*d**2. Give s(f(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 145369510 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 2*a + 96. Calculate the remainder when 335 is divided by z(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3468 and 35192975.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (0 + sqrt(684))**2 + (-4 + sqrt(19) + sqrt(57)\/sqrt(3) - sqrt(19))**2 + 4).\nAnswer: -2888 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1 - 2*f - 1. Let u(x) be the second derivative of -9*x + 2\/3*x**3 + 0*x**2 + 0. What is u(h(a))?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100011101111001 + 100?\nAnswer: 11100011101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - r = -55, z + r - 38 = -z. Let n(t) = -t**2 - 10*t - 12. Let p be 39\/13*16\/(-6). Let i be n(p). Solve z = -a - 4*d + 1, -i*a - d = 19 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:46 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a week in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 6 = -8*j. What is the common denominator of 1\/6*(-82)\/j and -67\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, y: 4}. What is prob of sequence aya?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*n**3 - 176*n**3 + 49*n**3 + 54*n**3.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/176, 4, 1\/7?\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*l + 5, 58*x + 3 = 60*x - l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*m - 24, 5*f + 3*m - 38 + 15 = 0. Solve r + y + 1 = 3*y, f*r + 3*y - 18 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/11 (b) -35 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/4 + 3*b**4\/2 + 2*b**3 = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(208) - (-5 + 4*sqrt(208))) + 5)**2 + (sqrt(208) - (5 + sqrt(208))*-4 - (1 + sqrt(208)*-1))**2.\nAnswer: 720*sqrt(13) + 9785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(325) + -1.\nAnswer: -1 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*d + 1959, 0 = -2*f + 24*d - 22*d + 1296. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2392992*4.\nAnswer: -9571968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823632.\nAnswer: 2, 3, 17159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1257, -1028, -819, -642, -509?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(20) + (sqrt(20) - sqrt(20)*1*3))\/((sqrt(40)\/sqrt(2))\/sqrt(5)) - sqrt(45)\/(sqrt(9) + (sqrt(1089) + 2*sqrt(1089) - sqrt(1089)))*-3).\nAnswer: -60*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 0\/(-2)) + (-80)\/32 + 1\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -6 (c) -39114.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 - 9*x - 4. Let m(h) = -42*h**2 + 73*h + 34. Let g(a) = -25*b(a) - 3*m(a). Suppose -d + 2*d - 3*c + 10 = 0, 24 = -4*d - 4*c. Give g(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6078379271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 16, 262.\nAnswer: 11, 16, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58 + 2b922?\nAnswer: 2b897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 9*u**4 + 522*u + 291*u**3 - 596*u**2 - 15*u**3 - 33*u**4 - 162.\nAnswer: 2*(u - 9)**2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 4*c**2 + 5*c + 5. Let a be g(-5). Solve -5*o = -2*k + 16 + a, 5*k = -2*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -261*u + 3. Let k(p) = 522*p - 5. Let m(a) = -2*k(a) - 5*x(a). Is m(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25402\/129 or -198?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6845*i**2 + 6855*i**2 + 6*i**6 - 31*i**6 + i**5 wrt i?\nAnswer: -3000*i**3 + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(5700))\/(sqrt(3) + sqrt(15)\/(sqrt(5)*-2)).\nAnswer: -40*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*u + u = -6, u - 11 = -3*l. Suppose -l*r = 1 - 21. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41.73 + -42. Round k to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1)\/n)\/n)**0)**(16\/9) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5)*s**(2\/19)*s*(s**(-1)*s)**(-13)*((s*(s\/(s**(1\/3)\/s))\/s*s)\/s)\/((((s**(-3)*s)\/s)\/s*s)\/s)*(s**(2\/3))**(-2\/123) assuming s is positive.\nAnswer: s**(12347\/7011)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -4) + 6256\/460.\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)*i*i**(2\/5)*i*i)\/(i*i\/i**(2\/7)*i\/i**(-1))*i**(-1\/3)*i*(i*i**(-2\/9))\/i*i\/(i\/(((((i**(-2)*i)\/i)\/i)\/i*i)\/i))*i*i*i**(-3) assuming i is positive.\nAnswer: i**(-332\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -828 - -829. Suppose 10*j = -8*j - 54. Which is the closest to y? (a) 3 (b) -0.08 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 8 - 22. Let s = -125 - -119. What is the closest to 0.1 in z, 5\/3, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009575 to four decimal places.\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 2*y - 58 = 0, 0 = 2*b + 4*y - 54. Let z = b - -7. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 320, 4, 1\/8.\nAnswer: 1\/8, 4, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 21. Suppose 1 + v = c. Let l be (-3 - (-8 - 8)) + 9. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -386*c*y**5 + 4008*c*y**3 + 52673*c*y - 28*y**2 + 2 wrt y?\nAnswer: -23160*c*y**2 + 24048*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.34 + 22.34. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 18*b**2 - 5*b + 38. Let n be t(20). Let j = -196 + n. Is j a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 212 - 112. What is the greatest common factor of p and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 8358440\nAnswer: 1\/2089610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 14*a - 17*a = 10*a. Suppose -3*l - 6 = 0, 3 = 3*n + 5*l - 2. Let g be -6*1*(-65)\/(-10). Put g, 3, a, n in ascending order.\nAnswer: g, a, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2. Let k be ((-32)\/6 - -5)*(-3 + -12). Let b(r) = -119*r - 6. Let q(y) = -114*y - 5. Let i(o) = k*b(o) - 6*q(o). What is d(i(t))?\nAnswer: 15842*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -47. Let s = m - 27.8. Let l = 0.9 + s. What is the second smallest value in -5, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31328 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 180492677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**3 - 10*f**2 - 25*f + 11. Give y(-5).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.22 * -0.0561.\nAnswer: -0.348942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**4\/8 - m**3\/6 - 28*m**2. Let x(o) = -13*o - 4. Calculate 18*u(t) - 4*x(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-115)\/10*-6*-3*22\/(-2277)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12739*m**2*p**3 - 2*m**2*p + 4*m*p**2 + 2*p**6 - 733*p**2 wrt p.\nAnswer: 76434*m**2 + 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-20)\/6)\/5)\/4)\/(20\/8).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*23\/(-2024) - 464\/(-22). Solve 0 = -0*w - v*w + 42 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*k + 35*k - k**2 + (-2*k + 2*k + 2*k)*(3*k - 6*k + k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 120*d**3 - 225*d**2 - 110*d.\nAnswer: -5*d*(d + 1)**2*(d + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) 6 (d) -13 (e) 6.7 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/60 + f**4\/8 + 5*f**3\/6 + 14*f**2. Calculate m(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1582 is divided by 1108.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 9*i + 23*i)*(-145*i + 3 + 85*i + 71*i).\nAnswer: 154*i**2 + 42*i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (54 - -10)) + 13 - (14 + -8)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64225 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514 < 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -3*s**4\/20 - s**3\/3 + s**2\/5 - 5. Determine r so that j(r) = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n + 2*s - 4, 3 = -3*n - 3*s. Let d = 4248 - 4246. What is the derivative of 6*l**2 + 17*l**n + 25 + 0*l**d wrt l?\nAnswer: 46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-16)*u**(-2\/47)\/u)\/(u**(-12)\/(u\/((((u\/(u*u**(-26)*u))\/u*u*u*u)\/u)\/u))) assuming u is positive.\nAnswer: u**(186\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + c + 1, 5*a + 17 = 134*c - 138*c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*f**5 + 0*f + 17*f**2 - 59*f**2 + 145*f**5 + f + f wrt f?\nAnswer: 11160*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:39 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786 a factor of 16821532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 13) in base 5?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 12?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63\/4? (a) -1\/8 (b) 509 (c) 0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39250 is divided by 530.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44121712*o**3 - 32992837*o**2 wrt o?\nAnswer: 264730272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 0*g + 118 - 5*g**3 + 3\/16*g**4 + 57\/8*g**2. Factor q(j).\nAnswer: 3*j*(j - 19)*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 1899*l - 1870*l. Solve 5*v = -3*c + l*v + 7, -2*v + 14 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + w**2 + w**3 + (0*w + 0*w - 2*w)*(-5*w**2 + 6*w**2 + 0*w**2) - 6*w**3 + 2*w**3 - 4*w**3 + 12*w - 3*w**3 - 9*w - 1 - 4*w - 3*w**2.\nAnswer: -12*w**3 - 3*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23026.3 + -23026. Which is the closest to 0.2? (a) -232 (b) 2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/3 + 78*b**3 - 2066*b**2\/3 - 109062*b + 660796\/3 = 0. What is b?\nAnswer: -31, 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*g + 74*g**2 - g**3 + 77*g in the form f + t*g**2 + m*g + s*g**3 and give t.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7168*d**3*m + d**3 - 32*m + 231 wrt d?\nAnswer: 21504*d**2*m + 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 4*l**2 + 2*l. Let m be d(3). Let c be m\/6 - (-11)\/2. Let n = 9 - c. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24327*u**2\/4 - 48669*u\/8 - 15\/8.\nAnswer: -3*(u + 1)*(16218*u + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -17*t - 33. Let x be q(9). Round x to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 14*r - 5326 = 9*r, 0 = i + 3*r - 2666. What are the prime factors of i?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -459, -948, -1615, -2460?\nAnswer: -3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 smaller than 94787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -44779, 3, 10 in descending order.\nAnswer: 10, 3, -5, -44779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 0*v - 3*v - v. Let m(i) = -6 + 0 - 3*i + 6. What is g(m(r))?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 7. Let a be t(-10). Solve 4*q = 5*n + a, -5 - 8 = -2*n - 5*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 135 = -19*j + 16*j, -2*t = j - 54. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.0932821 minutes?\nAnswer: 5596926000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhtr when four letters picked without replacement from {h: 3, t: 1, r: 4, c: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143311414 + 2?\nAnswer: 143311421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 58 = 4*x, 253 = 5*c + 4*x - 21. Suppose -122*v = -121*v - 6. What is the highest common divisor of c and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85503 is divided by 256.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 353.1 + 94.9. Let s = -435 + r. What is the second smallest value in s, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230 by 2.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 317 by 4.\nAnswer: 317\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5828506, -11657017, -17485528?\nAnswer: -23314039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6 = -t, -2*y - 2*y + 21 = -t. Let o be t\/4 + (-78)\/8. Is (3354\/15 - 1) + (-4)\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/48*-3*60\/25?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:00 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 3*n**3 - 3 - 2055*n - 4312*n + 492*n.\nAnswer: -3*n**3 - 2*n**2 - 5875*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -14\/14345337?\nAnswer: -14\/14345337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i - 7*i**3 - 5*i + i + (-364*i + 364*i - 20*i**2)*(-3*i + 3*i - i).\nAnswer: 13*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 11 - 6. What is the remainder when 64 is divided by (4 - (-20 + d))\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + (6 - (-1 - -9)) - -75) + -12.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, -13, -24, -39, -58, -81?\n\"Answer: -2*z**2 - z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -31. Let p = t - -152\/5. What is the third biggest value in p, 4\/7, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856 = 155*o - 75 - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3*t - 19*i**3 + 6*i**2*t + i*t - i + 48*t - 3 wrt i?\nAnswer: -18*i*t - 114*i + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 9326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*z = 28, i + z - 52 = -4*i. Suppose 0 = -2*f + 2*b + 82, 2*b = -0*b - i. Suppose f + 8 = 4*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*t. Suppose -2*k + 272 = t*k. Suppose -4*d + 2*w = -k, -19 - 31 = -2*d + 5*w. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-16)))\/(h\/(h\/h**15)) assuming h is positive.\nAnswer: h**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13113*v - 2660 + 2660 to t*v + z and give t.\nAnswer: -13113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.26476 - 0.22476. Put k, -0.1, -1.24 in descending order.\nAnswer: k, -0.1, -1.24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4))**(9\/7)*(t\/(t*((t\/t**(-1)*t)\/t*t*t)\/t))\/(t**9\/t))**31 assuming t is positive.\nAnswer: t**(-9827\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/5, -2, -298.\nAnswer: -298, -2, -3\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21630?\nAnswer: 2, 3, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**4\/4 + 2*j**3 - j**2 + 5*j - 2. What is the remainder when y(-6) is divided by (-75)\/6*(-4)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*g + 34 = 0, 3*g + 44 = 3*z + 11 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1228 = -8*g - 5004. Let m = g + 1132. What are the prime factors of m?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 60, 59, 58, 57, 56?\n\"Answer: -a + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5 - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36034 and 2514?\nAnswer: 108102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/126 - ((-153)\/(-2106))\/(2\/4)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5003 + 5006. Let z(s) be the first derivative of 2\/15*s**b + 4\/5*s**2 + 6\/5*s + 21. Factor z(h).\nAnswer: 2*(h + 1)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 14. Let z = 112776043 + -112776032.99999665. Let p = z - f. What is p rounded to seven dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/(-120)*3*285\/114.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxiwuunuiwniinuuixw. Give prob of sequence nwwu.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -2*w - 5*m, 4*m = 8*w - 4*w - 716. Let q = w + -180. Which is the second biggest value? (a) 0.05 (b) 13 (c) 5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.2 + -0.2. Let z = h - 5.82. What is z rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 74*f**2 + 144*f - 49. What is v(72)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 2*z**2 + 3*z + 1. Let g(p) = p + 1. Let n(l) = -2*g(l) + v(l). Let j = -101 + 91. Let q be (-70)\/j + -6 + 2. Determine n(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150*g**6 + 3*g**3*z - 4*g**2 - 11*z wrt g.\nAnswer: -18000*g**3 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (12\/8)\/((-60)\/(-8920))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 81617*g**3 + 29*g**2 - 54*g + 8. Let j be x(6). What is j rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36534224, -36534222, -36534220?\n\"Answer: 2*t - 36534226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 458807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(1300) + -4)*-3)**2.\nAnswer: -70686 + 3240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -44\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -213330 - 16?\nAnswer: -213346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -14, -0.2, 17, 4.\nAnswer: -14, -0.2, 4, 17, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 7:45 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -26. Let x(o) = 6 + 0 + b*o**2 - 6. Let l(f) = 1. Let u(m) = -2*m**2 - 2. Let c(k) = -2*l(k) - u(k). Give c(x(y)).\nAnswer: 722*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.01 + 207.99. Let l = c - 178. What is the closest to l in 0, -2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1115620 (base 12) to base 14\nAnswer: 60dc80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14338860 a multiple of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k - 3. Let i(t) be the third derivative of -t**5\/60 - 15*t**2. What is o(i(g))?\nAnswer: 8*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12\/n)\/n*n**(-13)*(n\/((n*n*n\/(n*n**3))\/n))**35 assuming n is positive.\nAnswer: n**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 249 and 83.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2 + 4*v**3 - 2*v - 3*v**3 + v**2 - 4 to q*v**2 + a + s*v + h*v**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -80*x**3 + 199038*x**2 - 2765904*x - 69272 = 0.\nAnswer: -1\/40, 14, 2474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183395360 + 466995356. Suppose 4*j - v = -4*x, -x = -3*x - j + 141799999. What is x rounded to the nearest 1000000?\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -19*j**3 + 8*j**2 - 4*j - 8. Let o(i) = -i**3 - i - 2. What is -m(a) + 4*o(a)?\nAnswer: 15*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/11 in -1, 6, 983, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.02775 milligrams in micrograms?\nAnswer: 2027.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -22?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfnnfooqnfmf. Give prob of picking 1 m, 1 f, and 1 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34464605*z - 65704122?\nAnswer: -34464605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozoooz. What is prob of sequence ooo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 48b9?\nAnswer: 48b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -1895*s**7\/42 + 1579*s**4\/12 + 1562*s. What is the third derivative of q(o) wrt o?\nAnswer: -113700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/7))**(-6\/11)*v**(-7\/5)*v**(4\/3) assuming v is positive.\nAnswer: v**(-887\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1754752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 83*t**2 + 1951*t - 196. Calculate the remainder when r(102) is divided by 57.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.253 - 266.253. What is the biggest value in -0.4, i, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 507\/2*a + 1\/2*a**3 + 66 + 39\/2*a**2. Factor r(i).\nAnswer: 3*(i + 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 13045001?\nAnswer: 13045006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.4 (b) -4 (c) 2487\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-95))\/12*(-120)\/(-26)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (26 - (-2 - -13) - 10 - -4) + -22\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = -0*a. Let y = 5 + a. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48958 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1545 + 2818. List the prime factors of x.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - g - 4. Let i(f) = -f**2 - f - 3. Let y(c) = 2*h(c) - 3*i(c). Let s be y(2). Suppose -5*m - s*r = -2*r - 30, -m = 4*r - 9. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 1, k: 1, b: 3, g: 6, l: 3}. What is prob of picking 1 x and 1 k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21, -45, -67, -87, -105, -121, -135?\n\"Answer: x**2 - 27*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-7)\/f)\/f*f)**(1\/19) assuming f is positive.\nAnswer: f**(-6\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a factor of 670110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 57*q + 49. Let o(d) = -19*d - 15. Let s(t) = -10*o(t) - 3*x(t). What is s(-3)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, v: 7, j: 2}. Give prob of picking 1 b and 2 v.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/8 - 19\/24. Which is the closest to -0.1? (a) 1 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/4 of a millisecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -486163 and 34.321.\nAnswer: -486128.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1\/4)*n*n*n)**40*n\/n**(-1\/15)*((n\/n**11)\/n)\/n assuming n is positive.\nAnswer: n**(2686\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17257829*p - 23206017?\nAnswer: -17257829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47348, 189282, 425848, 757052, 1182900, 1703398?\nAnswer: 2318552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1865605903?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s. Let p be 65\/(-7) - (-4)\/14. Put s, 5, p in decreasing order.\nAnswer: 5, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186189?\nAnswer: 3, 53, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4751 times 0.005?\nAnswer: -23.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.045402 - -0.0454. Round f to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1165*o + 503. Let t(p) = -p + 12. Let x(d) = -a(d) + t(d). What is the first derivative of x(f) wrt f?\nAnswer: -1166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61d + a0cb?\nAnswer: 99ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 3*k)*(-59 + 118 - 46*k - 75 + 111*k) in the form v + g*k**2 + b*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5621 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -892 by 4.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -0.5, -33, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 4. Let b be -2 - 4 - (-14 - 14). Let r(l) = -8*l**2 + 2*l - 16. Let d(p) = b*w(p) + 6*r(p). Suppose d(m) = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 3*k - 3. Let q be y(0). Put 2, 3, q in ascending order.\nAnswer: q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 7164.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**9*k*k)\/k)\/k**(2\/45)*(k\/k**(-3\/22))\/(k\/(k\/k**4)))**(11\/5) assuming k is positive.\nAnswer: k**(9001\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-4) - 26\/1. Let d = v - -26. Solve -17 + d = -5*t - 5*a, 8 = 5*t - 2*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5536579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65026 and 1924?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*o - 3605 = 47*o + 195 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 390 by 78.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 248 - 230. Suppose t*f - 136653 = 48549. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 11, -0.5 in decreasing order.\nAnswer: 11, -0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = -0*g. Let k = g + 14. Let d = k - 9. Calculate the lowest common multiple of d and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2126033 (base 7) to base 2\nAnswer: 111111001110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231219.\nAnswer: 3, 23, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.72 - 1.02. Let x(k) = -k**3 + 5*k**2 + 5*k + 5. Let q be x(6). Put h, 1\/6, q in decreasing order.\nAnswer: 1\/6, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38265.5489159 - 38241.4988. Let w = 24.05 - i. Round w to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 16*c + 6 = 0. Calculate the common denominator of 115\/54 and c\/9 + (-8525)\/(-1386).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/((-7)\/2 - -2). Suppose 792 = -h*w + w. Let c be (-3)\/(-7) + w\/77. Is c greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1788.294nm?\nAnswer: 0.000000001788294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 12. Suppose -6 = -w*p - 0. Is (p\/4)\/(4\/56) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1875*o + 1876*o - 3*i = -11, 21 = -5*o - 2*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*u**3 - 69*u**2 - 7041.\nAnswer: -45*u**2 - 138*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/14435 - -9991\/64149140. Let z = -24163\/5555 - n. Let k = -201\/10 + 43\/5. What is the common denominator of k and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 14) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**3 + 0*q**3 + 2*q**3 + (-q - 2 + 2 + (1 + 0 + 1)*(4*q - 3*q - 3*q))*(-4*q - 3*q - 13*q)*(0*q - 2*q + q).\nAnswer: -102*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 9:15 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/70*1)\/((-1)\/5). Find l, given that -q*l**3 - 4\/7*l + 6\/7*l**2 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 66127586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -37\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -56*s**3 + 17*s**2 - 14*s. Let z(u) = 19*u**3 - 6*u**2 + 5*u. Let r(l) = 6*h(l) + 17*z(l). What is the second derivative of r(g) wrt g?\nAnswer: -78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u - 2*q + 6 = 0, -4*q - 4 = 0. Suppose 2*b = 92 + 44. Suppose b = -0*l + u*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**8*m**(5\/6))**(-16\/9)\/((m*m**(3\/5)\/m*m**(4\/3)*m)\/(m**(-1)*m\/(m\/(m**(-3\/2)*m*m)))) assuming m is positive.\nAnswer: m**(2033\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281672?\nAnswer: 2, 137, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, g: 4}. Give prob of picking 1 y and 1 g.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uppupuuuupuppp. What is prob of sequence upp?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 31\/3, 4, 5 in descending order.\nAnswer: 31\/3, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2376 and 1056.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 + 1. Let z(l) = 21*l**3 + 108*l**2 + 3. Give -3*p(y) + z(y).\nAnswer: 21*y**3 + 120*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o - 15 = 0, 3*t + o = 8. Let z = t + -7. Calculate the remainder when 2\/z - (-582)\/18 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/96)\/(2\/(-16)) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 2*v**2 + 7*v - 15. Give w(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = q - 878. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3244 is divided by 82.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -115503\nAnswer: -115503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.03, 0.4, 2 in ascending order.\nAnswer: -5, -0.03, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 100 = -3*q. Let h(l) = 28*l**2 + 36*l**2 - 61*l**2 - 60*l + 6 + 0*l. Let d be h(q). Solve -4*a + d*u - u = -5, -2*a + 5*u + 15 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = w - 12, -w - 2*w + 19 = -8*f - 17 + 32 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*k**3 - 103*g**2*k**2 - 2*g**2*k + 314*g**2 wrt k?\nAnswer: 12*g**2*k - 206*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1503677 divided by -7.\nAnswer: 214811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -4.18?\nAnswer: -4.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(468) + sqrt(52)) + -5*-1*sqrt(52))\/(-5*(sqrt(64) + sqrt(4)) + sqrt(20)\/(1*sqrt(5))).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -64677406 divided by 38\nAnswer: -1702037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, j: 3, b: 2, g: 1}. Give prob of picking 2 d and 1 g.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374675878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1730 is divided by 435?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) + -4*sqrt(2592) + sqrt(2592) - sqrt(32))\/(sqrt(2304)\/sqrt(9)).\nAnswer: -19*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1664 (base 12) to base 15\nAnswer: bcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 14. Let b be a(12). Suppose -20 = 2*z - 3*z - b*d, -3*d + 75 = 4*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bee4 (base 15) to base 11\nAnswer: -28469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + sqrt(17) - ((5*(sqrt(17) + 1*sqrt(17)) + sqrt(17) + sqrt(17))**2 - sqrt(17)).\nAnswer: -2455 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 = 4*m, -5*m = -5*d - 12 + 7. Find the third derivative of 69*c**3 - 21*c**m + 125*c**3 - 29*c**2 - 16*c**2 wrt c.\nAnswer: 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4 + (8246\/248 - 33) - 39.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*k - 12, 4*k = c - 5*c. Does 3 divide 2\/((-8)\/c)*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 4, -2\/7, -1\/7 in descending order.\nAnswer: 4, -1\/7, -2\/7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 - f**4 + (3*f**2 + 0*f**2 + 0*f**2)*(f - 3 + 3)*(2*f + 5*f - 9*f) + 0*f**4 - 4*f**4 + 5*f**4 + (2*f**2 - 2*f**2 + 2*f**3)*(4*f - 3*f - 3*f).\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 0, 0*g - 3*g = 5*k - 55. Suppose -3*n + 4*l - 12 = n, -11 = -3*n - l. Let t be 16\/6*33\/n. What is the highest common divisor of t and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2 - 1\/2*j**2 + 5\/4*j - 1\/4*j**3 = 0. What is j?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 4*p + 39. What is the remainder when p is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 117771*k - 76784?\nAnswer: 117771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*p + b, -2*b - b + 160 = 4*p. What is the remainder when p is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 227*a - 9825. Is 11 a factor of d(159)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 13*z**5 - 2 + (0 - 2*z + 0)*(-2*z**4 - z**4 + 2*z**4) + 0*z**3 - 3*z**5 + 0*z**3.\nAnswer: -14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -25. What are the prime factors of -7*(x + 93\/(-21))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1337970 by 6.\nAnswer: -222995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from iddddupiduuddduu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-2))\/(z**(-3\/8)\/z*z)*(z*(z\/((z*((z**0\/z)\/z)\/z)\/z))\/z)**(4\/21))**(4\/17))**(-12\/7) assuming z is positive.\nAnswer: z**(-46\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 24*c**2 + 116*c + 50. Let x be u(17). Sort -2, -146, 2, x, 0 in ascending order.\nAnswer: -146, -2, x, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 5*n + 2. Let a be q(0). Differentiate j + j - 4*j - 19*j**2 + 33 + 18*j**a wrt j.\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3f6b5 (base 16) to base 15\nAnswer: 51e7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 89*o + 1. Let i(b) = 91*b + 1. What is -4*i(h) + 5*p(h)?\nAnswer: 81*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/9381 and 41\/23529.\nAnswer: 73575183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + 35)\/((-2)\/(-3)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - f - 2. Let l(j) = 134*j**2 - 102*j + 6. Let d(a) = l(a) - 6*p(a). Factor d(q).\nAnswer: 2*(8*q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 4cd9e07?\nAnswer: 4cd9e07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5*13\/975*-3 + (-498)\/15\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2543 + 15846. Let t = y - 7530. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -20 - (2 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 11, -2\/11, -1178\/5 in decreasing order.\nAnswer: 11, -2\/11, -7, -1178\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*w + 15*w - 9*w**2 - 4*w + 32*w + 5*w**2 as p + m*w**2 + o*w and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 35*d - 9*d - 5*d - 12*d - 8*d. Let m(k) be the second derivative of -13*k**4\/12 + k. Calculate s(m(w)).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*b = 8*b + 1437, 7157 = 5*k + 3*b. List the prime factors of k.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:30 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.088 - 4.048. Let h = -4 - u. Let y = -10.45 + 6.45. What is the second smallest value in h, 0.4, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**3 + 7*m**2 + 5. Let s be (6\/4 - 0)*-2. Let y be ((-6)\/4)\/s*6. Let i(g) = g**3 - 1 - g**2 - 2*g**3 + 0*g**y. Determine 5*i(u) + r(u).\nAnswer: -u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576713.\nAnswer: 241, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1392 + -2781\/2. Let m = -298 - -302. What is the closest to -1\/4 in s, m, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/6 - (-11)\/6. Suppose -l + m = -0. Suppose l*q - 5*k - 95 = 0, 0 = 2*k + k + 15. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215.4 + -229.4. What is the nearest to 7 in -0.3, 2\/17, z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 33. Suppose -3*s = -2 - 43. Suppose 0 = -s*r + 21*r - 12. Calculate the smallest common multiple of r and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27916 - 27913. Sort -8, -0.4, b, 0.1, -65 in decreasing order.\nAnswer: b, 0.1, -0.4, -8, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 less than -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -16, 1\/6, 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38160749 is divided by 1275.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 369148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 20*n - 721. Calculate the remainder when k(21) is divided by 67.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 438*j - 11498. What is d(30)?\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/14 + (7 - 53) + 42. Let s be (-44)\/(-57) + (-6)\/9. Which is the second biggest value? (a) s (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.21517254 to 1 dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**3\/2 - 3*d**2 - 3971*d. Let q(v) = 8*v**2 + 4*v. Determine m(q(y)).\nAnswer: 24*y**2 + 12*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467*h + 465*h - 18 = 0. Let j(z) = -62*z - 42. Let b be j(h). What is the highest common factor of 24 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 42. Let k = -21 + n. Let s(o) = o**3 - 10*o**2 + 12*o - 8. Does 13 divide s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {y: 1, v: 12}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39*3*(-1)\/(-3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1296*h**3 + 12*h**2 - 48*h - 460. Let g(c) = -c**2 + 4*c + 1. Let m(i) = 12*g(i) + q(i). Differentiate m(p) with respect to p.\nAnswer: 3888*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011101010 (base 2) to base 7\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*r + 186*m - 187*m, -2*r = -3*m + 4. Let n(s) be the third derivative of 0*s + r*s**2 - 1\/6*s**3 + 1\/4*s**4 + 0. Calculate n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 514 = -654. What is the remainder when 101 is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13515 and 641410?\nAnswer: 101984190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmiimmmimimmiimiipi.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 4:37 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3861*r + 15440. Let v be k(4). Suppose 4 = -4*a + 4*y, y = -3*a - y - 8. Sort a, -5, 4, v in descending order.\nAnswer: 4, a, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -801.2 - -801. What is the closest to g in -8, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 989, -4, -2\/11, -4\/3, -5, 5 in increasing order.\nAnswer: -5, -4, -4\/3, -2\/11, 5, 989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 + 170*j**2 + 346*j + 174 = 0. Calculate j.\nAnswer: -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/475*-10*(-2)\/(-3)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 8*l - 5*l)*(4 + 0 - 3)*(2 + 1 - 1).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -22*x + 710. Let f be z(31). Is f less than or equal to 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2542509881?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/122706278 and -111\/40.\nAnswer: 2454125560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmqm when four letters picked without replacement from {m: 4, q: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -5, 6 in descending order.\nAnswer: 9, 6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1230*q**3 + 34*q**2 - 17*q + 17. Let n(b) = 205*b**3 + 6*b**2 - 3*b + 3. Determine 34*n(k) - 6*w(k).\nAnswer: -410*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 691556914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + z + 48824*z**2 - 1 - 48869*z**2 + z.\nAnswer: -45*z**2 + 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-46)\/20*-2 + -2. Suppose 32*v = -28 + 156. Which is greater: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 greater than or equal to 1096\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 b when four letters picked without replacement from {m: 19, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01185 rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let z(v) = -v**3 - 9*v**2 + 10*v + 12. Let o be z(-10). Let r = o - 5. Determine s(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/6 + (-1833)\/(-234) and 3 + -1 - (-40)\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 + 189808*d**2 - 7592245*d\/4 + 9490275\/2.\nAnswer: -(d - 759222)*(d - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmeefefmmeeemwemeefw. What is prob of picking 1 m and 3 f?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -256*d**5\/5 + d**4\/2 - 21*d**2 + 2*d - 104. Find the second derivative of u(v) wrt v.\nAnswer: -3072*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/14 - 4\/7. Suppose -3*c + 878 + 140 = -2*q, -684 = -g*c + 4*q. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 942 + -944. Is x < 15.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20875.97454 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.07, -0.4, 0.3, 4, -32185?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 504?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6) - (-13 + 44\/4)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 32*d - 10*d - 15*d - 9*d + 10 + 5*d**2 to the form h*d + j*d**2 + y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 + 164803*o = 0. Calculate o.\nAnswer: 0, 164803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 103?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 4*q**3 + 0*q**3)*((-4 + 4 - 1)*(-5 + q + 5) + 4*q + 6*q + 4*q + 5 - 4*q - 5)*(0 + 0 + 3).\nAnswer: -54*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2054 and -0.7.\nAnswer: 2053.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3))**(-1\/7))**(-2\/17)\/((d**0)**(28\/3)*d**7*(d\/((d**6*d)\/d))\/d) assuming d is positive.\nAnswer: d**(-353\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/20 and 27\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3))**4\/(m**(-1\/3))**(1\/10) assuming m is positive.\nAnswer: m**(-359\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012 is divided by 111.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*-279\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 6*j - 20. Calculate the remainder when 46*1*(-123)\/(-82) is divided by v(11).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418516\/6 - (-40)\/120 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8876133 seconds in minutes?\nAnswer: 0.014793555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -19*h**8\/168 + h**6\/15 - 203*h**5\/15 - 2*h**2 + 227. What is the third derivative of i(r) wrt r?\nAnswer: -2280*r**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 10 (b) 4.82 (c) 6\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 5) to base 15\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.04 - 10.91. Round r to zero dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 77\/11 + -3 + 52\/(-14). Let s = 4.87 + 0.13. Which is the smallest value? (a) s (b) f (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/9 + 236*d**3\/3 + 3358*d**2\/9 - 15356*d\/3 = 0.\nAnswer: -349, -11, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + i. Let b(f) = -6*f**2 + 5*f. Let u(m) = -3*b(m) + 15*d(m). Let v(z) be the third derivative of 7*z**5\/30 + 7*z**2 + 34*z. Calculate u(v(c)).\nAnswer: 588*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 45 + (-37 - -27)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 35 = r, 25 = -2*r - 3*r. What is the least common multiple of -1 - (3\/h)\/((-2)\/(-44)) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2332560140 by 5.\nAnswer: -466512028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5 - 42*z**4 - 340*z**3 - 1300*z**2 - 2250*z - 1250 = 0. What is z?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 753, 1\/7, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 4440.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 11*a - 13. Let o be v(-9). Let l(f) = -24*f + 3. Let y be l(-1). Suppose -q = -y + o. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979478.27 rounded to the nearest one hundred?\nAnswer: 1979500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 15. Let y be (15\/o)\/((-2)\/(-4)) - -5. Solve 4*g - 10 - 9 = -l, 3*l + 13 = y*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 33. Let p(o) = 5*o**2 + 9 + 34 - 2 - 8 - 2*o. List the prime factors of p(c).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 5*c**2 + 10. Let k be z(5). Suppose 0 = -3*h - 2*h + k. Suppose 10*n**2 - n**h + 3*n + 10 - 12 = 0. What is n?\nAnswer: -2\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 4*w**2 - w - 3. Let l be b(-4). Let c be (l\/2)\/((-2)\/(-8)). Suppose 18 = g + 5*n, -4*g - n + 12 = -g. Which is bigger: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 28 - 3*p + 0*p - 2*p + 0*p + (p - p + 2*p)*(-2 + 6 - 2) - p + 0 + 0 + 0 + 0 - p)*(-9*p + 0*p + 2*p) in the form o*p**2 + f + q*p and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0\/u)**(-31) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11257\/33 - 341. Let m(a) be the first derivative of -8\/11*a - 7\/11*a**2 + j*a**3 + 2. Determine z so that m(z) = 0.\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 3*i)*(-3 + 2 + 0 + (-3 + 0 + 4)*(-4 + 3 - 2))*(-1 + 4 + 0).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p**2 - p - 1. Let u(n) be the third derivative of 11*n**5\/60 - n**4\/24 - n**3\/3 + 7*n**2. Calculate 3*u(d) - 5*y(d).\nAnswer: 3*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k. Suppose k = f - 6*f - 25. Sort f, 0.2, -4 in decreasing order.\nAnswer: 0.2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 706 + -705. Which is smaller: -232 or c?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 4)*1 - (-3)\/((-27)\/(-414216)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*f + 3 - 2, 0 = f - 2. Let x be u\/(30\/9 - 3). Suppose -g + 91 = 4*y, -5*y - 63 = -x*g + 125. List the prime factors of g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -66445?\nAnswer: 66443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6238511.2 rounded to the nearest 10000?\nAnswer: -6240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.2064 and 754.\nAnswer: 13727.6256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -620 - -612. Let a(w) = -w**2 + 8*w + 130. Let p be a(u). Suppose 5*i = 46 + 9. Solve -p*b + i = 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 13643 - 4547 - 4553 - 4543 - 3515*l**2. Let m(n) = -5*n. Calculate q(m(j)).\nAnswer: -87875*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223701813.957 - 223519645. Let z = -182085 + m. Let f = z + -84. Round f to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*n - 37, -3*q = -3*n - 29 - 19. Let g be (-2)\/q - 88010\/(-837375). Let i = -2\/609 + g. Is -1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5986249342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1236 = 462*t + 7080 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/21)\/((-9)\/21))\/((-4752)\/3888)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-14)*q\/(q*(q**(5\/4)*q)\/q))**(2\/103)\/(q**(-1)\/(q*q**(-8\/5)*q))**(-1\/36) assuming q is positive.\nAnswer: q**(4229\/18540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2906895783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-3448.\nAnswer: -31032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.570215 meters to nanometers.\nAnswer: 5570215000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let j(i) = 6*i**2 + 3*i - 3. Let r(b) = 13*b**2 + 7*b - 7. Let q(u) = 7*j(u) - 3*r(u). Calculate q(c(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23227 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 657*v**3 + 4*v**2 + v - 3. Let y be w(1). Let a = 1299 - y. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/7 and 117\/375956.\nAnswer: 375956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 4660*t**2\/3 - 69659*t\/3 - 74320\/3.\nAnswer: -(t - 4645)*(t - 16)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132447358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 3\/2764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 197594012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54017 - 15124883\/280. Find the common denominator of -47\/280 and h.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892029 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-109)\/(-4) - (-3)\/4. Suppose -2*k + 2*r = -4*k + 14, 0 = -3*k + 4*r + f. Suppose -3*u + 29 = k. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3122*s + 299*s = -633*s + 973*s - 199269 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 160083 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 1575.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45384278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.5 (b) 1 (c) 44 (d) 6\/83 (e) -3\/5 (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*(-8)\/(-24).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 52155?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s + 20. Let k be t(-9). Put 3, 0, k in descending order.\nAnswer: 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/8179 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 58124.7 micrograms in tonnes?\nAnswer: 0.0000000581247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(-1*2*sqrt(91)*2)\/(sqrt(175) + sqrt(175)*2*-1 - sqrt(175)).\nAnswer: -6*sqrt(13)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9488*t + 3650*t + 513744 = 0 for t.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + 0*r**4 + 0*r**4 + 5*r**4 - 6*r**4 + 10*r**4 + (r**3 + 3*r**3 - 2*r**3)*(r - 3 + 3).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 5) to base 9\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 314 = 98. Calculate the remainder when g is divided by ((5700\/(-18))\/19)\/(42\/(-9) + 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j = 141. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 2*x**2 - 2*x**2 - 1 + 1 - 2*x**2 + 2 - 2 - x**2 + (0*x + 0*x - x)*(4 + x - 4) - 1 - x**2 + 1 - 11 - 3*x**2 + 2*x + 11.\nAnswer: -10*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -248355 + 124180 - 5789*i + 124175 - i**3 to m*i**3 + k*i**2 + y + q*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 2*b**3\/15 + 18. Factor g(w).\nAnswer: 2*w**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:43 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -d5?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -2590, 2, 5 in descending order.\nAnswer: 28, 5, 2, -2590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-11215)\/3)\/((-15)\/(-18)). Is z at most as big as -4486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -4 (c) -1\/7 (d) -2 (e) 2082 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Suppose -z = -2*j + 3. Suppose -j*h = -11 - 1. Calculate the smallest common multiple of 6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -15*h**2 - 3*h - 7. Let f(v) = 22*v**2 + 5*v + 11. Let d(u) = u**3 + 5*u**2 + 2*u. Let o be d(-4). Let p(a) = o*q(a) + 5*f(a). Give p(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j - 20 = g, 104*g - 100*g - 5*j - 20 = 31 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 - -2)\/(1\/(-1)). Are i and -12 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncsn when four letters picked without replacement from {c: 4, g: 2, s: 1, n: 3, p: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7602707.\nAnswer: 7, 1086101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -8, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12)*z\/((z\/(z\/z**10))\/z))\/(z**(-12)*z*(z*z**(-7))\/z) assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8133*i - 10882. Is o(-35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) 2\/3 (c) 4\/3 (d) -12511 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20007713789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 2) + -1 + 8. Let u = 11 - t. Solve -5*o**5 + 3*o**u + 0*o**3 - 4*o**2 + 0*o**2 + 6*o**3 = 0 for o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 827 = 50615*k - 50629*k, 2*k = 2*a + 110 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 2*v**5\/15 - 5*v**3\/6 - v**2. Let n(a) = 42 - 26 - 13*a**2 + a**2 - 8. Determine 8*b(k) + 5*n(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 853 + -6823\/8. What is the nearest to -1 in -9, d, -0.21, -4?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1607744?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-14 - 9) + 10 + 5) - 18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + 5*(-2 + sqrt(425)*1 - (sqrt(425) + 1)*3))**2.\nAnswer: 2700*sqrt(17) + 43229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*d**2 + 202*d**2 + 84*d**2.\nAnswer: 204*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 32 - 18*o**2 to u*o**2 + q + c*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -20*q - 81. What is the tens digit of p(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rersrrsrrsreerrsres?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 3*q - 103. Let k be j(-9). Let t be (-21)\/(-12) - k\/4. Solve t*a - a**2 + 0 = 0 for a.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 - 3. Let z(o) = 3*o**2 - 2. Let f(n) = -2*c(n) + 3*z(n). Let j(m) = -15*m**2 + 0 + 0 + 3*m**2. What is f(j(q))?\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**8)**(4\/5)*(s*s\/(s*s**(17\/4)*s))**(3\/29))**(15\/2) assuming s is positive.\nAnswer: s**(10371\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16228, 22283, 28348, 34429, 40532, 46663?\n\"Answer: z**3 - z**2 + 6051*z + 10177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4478659799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18.27*4\nAnswer: 73.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001659 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g + 6. Let r(f) = -7*f - 12. Let q(j) = 4*r(j) + 9*s(j). Let u(w) = 2*w**2 + 22*w + 62. Let c be u(-7). Determine q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/2211258 and -9\/70?\nAnswer: 11056290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a hour in seconds?\nAnswer: 48240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {l: 2, u: 1, v: 1, h: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 46148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7 = -5*i + 2*i, 0 = 5*i + r - 9. Calculate the lowest common multiple of ((-280)\/1120)\/((-1)\/88 + 0) and 1\/(2\/16)*i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -1449\nAnswer: -31\/1449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuiuxxuiiiiixiixuii. Give prob of sequence ux.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 6*j - j)*(2*j + 0 + 0) + 2*j**2 - 4*j**2 + 4*j**2 in the form x*j + t*j**2 + w and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**3*x - 65*g**3 + 33*g**2 - 19*g*x - 1196*x wrt g.\nAnswer: 30*g*x - 390*g + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 9:56 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 227\/3. What is the smallest value in q, -2, -1, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16258? (a) 2\/17 (b) -5 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k - 11. Let n(t) = 15*t + 23. Calculate 6*n(v) + 13*y(v).\nAnswer: -v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 + v + 4. Let r be p(-5). Let x be (-40)\/r + 2\/11. Which is the nearest to 0.1? (a) -0.1 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esge when four letters picked without replacement from sgeeeeeeeeeesesee?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/21 + 1016*m**3\/21 - 2038*m**2\/21 + 340*m\/7 = 0. Calculate m.\nAnswer: -510, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17117 - 17097. Let m(y) = y**3 - y**2. Let l be m(2). Calculate the highest common factor of n and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15942827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + d**2 - 4*d + 2. Let p(i) = -5*i**3 + 5*i**2 - 16*i + 9. Let m(z) = 2*p(z) - 9*w(z). Give m(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3\/7 (b) 85 (c) 4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*b + 52 = 235*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.410625g to kilograms.\nAnswer: 0.008410625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -90, -139, -184, -219, -238?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(5)*-4)\/(sqrt(35)\/(sqrt(45)\/sqrt(9))).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8 - 3*d**2 - 8. Let c be 15\/20 + 5\/4. Let l(s) = -s**2 + 5*s**2 - 6*s**2 + 3*s**c. What is m(l(h))?\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17*84\/714)\/((-14)\/3)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 1. Let b be v(-1). Let h be ((-198)\/(-176))\/((-39)\/10). Let z = h - -151\/884. Is z bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.26 + 0.74. What is the nearest to 1 in 3, h, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 73 = 2*q. Suppose -41*h = -q*h - 256. Suppose -5*a + 183 - h = 0. Calculate the remainder when 43 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b8510 (base 12) in base 5?\nAnswer: 30231102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 44 - 197. Suppose 4*h + 35 = 2*x - 15, -f = h - 5*x. What is the hundreds digit of (-1878)\/h + 3\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 17*c - 59. Let z be o(3). Let v(j) = -j**3 - 9*j**2 - 6*j + 5. What is v(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/109196052 and -20\/14299483.\nAnswer: 1201156572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36 and (3\/(-10056))\/(24\/(-1872)).\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/816*18)\/(6\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/24*2*30\/5. Suppose 6*z - 220 = 2*z. Let s = z + m. Calculate the remainder when 80 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8*k - 24 = f, -5*f - 15 = k. Which is smaller: 152 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((684\/3)\/(-19))\/((-4)\/((-4)\/(-2)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11185 plus -6797306?\nAnswer: -6808491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 7. Let n be g(-5). Let w = n + 1. Suppose 2*c + 3 = -w*c + 2*i, 5*c - 5*i = 0. Which is greater: c or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 148\/8929?\nAnswer: 148\/8929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -9*p - 1354. Suppose 3*i - p + 250 = 0. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Suppose -3*n + 27 = 3*x, 2*x = -w*x - 5*n + 38. Let m = x - 2. Solve m*j - 4 = 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2. Let c(d) = 6*d**2. Let o(y) = 4*c(y) + 11*q(y). Let h(p) = 11*p. What is h(o(f))?\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 4*d - 21*d**2.\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 - 4*v + 6. Let z(r) = -r**2 + r - 1. Let u(j) = 2*i(j) + 11*z(j). Determine u(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132 + -1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*k + 0 - 3*k + 4*k**2 + 4*k**4 to the form s*k + g*k**2 + f*k**3 + d + l*k**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/53025 and 67\/135.\nAnswer: 477225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 407273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293*821.\nAnswer: 240553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -422470*q**3 + 107525*q**2 - 1?\nAnswer: -2534820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 1, i: 5, k: 2, e: 6, c: 1}. What is prob of sequence io?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-4\/9)*h)**(4\/13))**(-9\/7))**32)**14 assuming h is positive.\nAnswer: h**(-1280\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i - 95 = 0. Let k = -47 - i. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.088313 times 0.1\nAnswer: 0.0088313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/22 + (-84)\/(-22). Suppose 2*y = -9*q + g*q - 20, q - 13 = 3*y. Let m be y\/(-4) + 6\/(-24). Solve m - 6 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3000203\/135 - 22224. Let k = -2\/27 - m. Sort -0.4, 4, k, -23 in decreasing order.\nAnswer: 4, k, -0.4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*k**2 - 844*k**3 - 30*k**4 + 42*k**2 + 852*k**3 in the form o + z*k**4 + j*k**3 + t*k**2 + m*k and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67\/((-2077)\/(-186)))\/57?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 33*s**2. Let t = 24 + -31. Let q(i) = -44*i + 14*i + 24*i. Let g(x) = -5*x. Let z(k) = t*g(k) + 6*q(k). Give z(w(o)).\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1365 - 858 = -169*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48\/11, 1\/2, -0.1, 2\/3 in ascending order.\nAnswer: -48\/11, -0.1, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from mjssmmjmc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from fgffzsczzagfzcczzz.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 1. Let v be n(1). Suppose 0 = 3*t - 5*y - 3, t - 5 = -3*y + 6*y. Let o be (0\/(-2) - -2) + -5. Sort t, v, o in decreasing order.\nAnswer: v, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3844737 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -100*m + 1188. Determine o(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(2 - 2*l - 2)*(-3 + 0 - 4) + (16 - 16 - 5*l)*(-3 + 1 + 1).\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j + 15. Give m(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1415180 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 less than 39664\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u = 55*u + b - 11, 5 = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -16*u**2 - 2*u + 48. Let x(i) = -i**3 - i**2 + i + 1. Let a(w) = q(w) - x(w). Let f be a(15). Solve o = 2*h + 1, -3*h - 4*o - 35 = f*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) + 3*sqrt(176))*5)\/sqrt(4)*-5)\/((sqrt(5184) - ((sqrt(5184)*-2 - sqrt(5184)) + sqrt(5184) - sqrt(5184)))*1).\nAnswer: -25*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**(-3))*n**(-5)*n)\/(n*(n\/(n*n*n**(-1\/3)\/n*n))\/n*n*n**(-1\/5)*n)*(n\/n**(-1\/2))**(1\/24)*(n*n**(-1))**3 assuming n is positive.\nAnswer: n**(-2177\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2333401298*j**3\/3 + 1544579540*j**2 + 22003608*j + 234256\/3 = 0.\nAnswer: -242\/34157, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = -5. Let r(w) = 3*w - 2*w**m + 0 + 0. Let t be r(2). Put t, -1\/5, 0 in descending order.\nAnswer: 0, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2319 - 1534. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861751 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: Let q = 97613 - 97613.0000080729. Round q to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 252\/(-864) + (-3)\/(-8). Let r(x) be the second derivative of x**3 - v*x**4 - 2*x**2 + 0 + x. Calculate r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*k**3\/3 - 354*k**2 + 941*k\/3 - 10 = 0. Calculate k.\nAnswer: 5\/151, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c. Let k be ((-2 + 7)\/1)\/1. Suppose -k*x - 1 + 26 = 0. Let w(u) = -3*u + 13*u - 6*u - x*u. What is w(a(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*t + 3*t = -6*t + 176 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4 - 1. Let z be o\/((-28)\/(-8)) - (-3)\/(-14). Put 1, -0.4, 0.5, z in increasing order.\nAnswer: z, -0.4, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1338.655 to the nearest 10.\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 14*z**2 - 14*z + 15. Let s be p(13). Suppose -y + 4*d = 14, 4 = -0*y - y + s*d. Calculate the remainder when 10 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36120 - 41684 = -1468*h for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - 0) + 176 + (129 - 258)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*g = -7, 0 = 3*q + 3*g - 16 + 1. Suppose 37 = q*w + 13. Calculate the smallest common multiple of 2\/(8\/20) - -1 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/19, 5785\/18, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5662 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 5009237\nAnswer: -4\/5009237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*o + 516 - 1296 = -231*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*n + 15, 3*m + 4*n - 5*n = 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - q + 12625 = 0, 12641 = -h + 4*h + 5*q. Suppose -f - h + 287 = -4*k, 5*k = -5*f + 4875. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 12:33 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 7*t = 559. Let r(s) = 2*s**2 - 6*s + 2. Let i be r(4). Let x = t - i. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3027*m - 121118. Calculate v(40).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*d - 155*d + 1705. What is the remainder when 6\/9*(-882)\/(-12) is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -8 + 6 - (5669\/(-6) + (-31)\/186) is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*a = -19 - 7, 4*x - 4*a = -36 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*m + 18*m - 7 + 3)*(0 + 2 + 0).\nAnswer: 2*m - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = -4*t + 33, 5*t + 208 = -5*c + 243 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(((-4797)\/(-164))\/39)*-29?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + 25. Let q = -27 + b. What is the units digit of (-1)\/(-3) + q\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -951 + 64669\/68. What is the common denominator of h and -7\/44?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 1522*w + 254*w - 57.\nAnswer: -1268*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 106919257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 822 = -118. Let a = -87 - h. What are the prime factors of a?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2412*y + 1205*y - 102 = -1202*y - 11*n, -56 = -6*y - n - 150 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/4 + -1 + 0. Let n(b) = -9*b - 22. Let k be n(-3). Suppose 4*v = 5*p - 6*p + 24, -45 = -5*p + k*v. Put g, -0.3, p in ascending order.\nAnswer: -0.3, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23299 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4046\/5 + -23561\/30. Calculate the common denominator of (-15)\/(-2)*(1120\/(-25))\/(-7) and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 175020 - -2874980. What is i rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 52 + 144*t + 57044*t**2 - 57041*t**2 + 1928 + 12*t = 0.\nAnswer: -30, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(539) + 4))**2*-1 + (sqrt(11) + (sqrt(44)\/sqrt(4))**2 + 4 + sqrt(11) - (-3*sqrt(11))**2*4).\nAnswer: -936 - 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 6, c: 4, p: 3}. Give prob of sequence cp.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111011 - -10100?\nAnswer: -1110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3006 or -3009?\nAnswer: -3009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0700525 rounded to four decimal places?\nAnswer: -0.0701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*s**2\/3 - 12289424*s\/3 + 199828.\nAnswer: (s - 299742)*(41*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 590 and 70?\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9156046351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 6*n**5\/5 + 3*n**2\/2 + 2. What is the second derivative of j(z) wrt z?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 10:40 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/18 - 7\/18. Let g = 0.0047 + 22.8953. Let v = 24.9 - g. Put v, 13, y in descending order.\nAnswer: 13, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = y. Let l(m) = 4*m + 2*m + 2 - 1333*m**2 - m**3 - 1 + 1338*m**2. Give l(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/144 and 65\/276.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**5 + 13*d**5 + d**2 - 7*d**5 + 2*d**3 - d**3 - d**4.\nAnswer: -d**2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (540\/(-144) - (-5 + 1))\/((-110)\/1056)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z)**(2\/11) assuming z is positive.\nAnswer: z**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54486, -54470, -54454, -54438, -54422, -54406?\nAnswer: -54390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -186 (b) 1\/4 (c) 950.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7260608 millilitres?\nAnswer: 0.0007260608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45709?\nAnswer: 43, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1208*y - 20511. Calculate p(-17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/((-2)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 1162512*k - 168929268768.\nAnswer: -2*(k - 290628)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p - 5*b = -50*p + 1, 5*p - 4*b + 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(35\/14).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.058, 0.001, -4, 2\/3?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*-2*(sqrt(1782) + sqrt(1782)*-2))\/((sqrt(11) + sqrt(33)\/sqrt(3)*1 + -2*sqrt(176))*-4))**2.\nAnswer: -9*sqrt(2)\/2 + 89\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -4. Let c = -1 + v. Let d = -2.487 - -1.487. What is the second biggest value in d, c, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 + 2*m - 57*m**2 - 81 - 77.\nAnswer: -57*m**2 + 2*m - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**3 - 5*d**2 - 6. Suppose 2*q - 14 = -2*h + h, 5*q - 38 = -4*h. Let u(j) = j**3 + j**2 + 1. Calculate q*u(b) + v(b).\nAnswer: -b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -21*o - 2*o + 4*o + 0 - 2. Let z be t(-2). Let i = -35 + 53. Calculate the greatest common divisor of z and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 406 + -410. Let z(q) = 3*q + 9. Give z(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103\/35 + 4\/5. Let c = -830 + 828. Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 6:38 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - p**2 - p. Let o be 11\/(-22)*-4 - (2 - (-5 + 6)). Let a(r) = -4*r**3 + 6*r**2 - 3*r - 2. Calculate o*a(m) - 3*l(m).\nAnswer: -m**3 + 9*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 69?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.46 * 0.022\nAnswer: 0.03212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -192*s - 9108. Let l be -2 - (2 + (2 - -38)). Do s and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/3 <= -49751\/508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -14, 62, 3, -1 in ascending order.\nAnswer: -14, -3, -1, 1, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268287*l**6 + 51897*l**2 wrt l?\nAnswer: 32194440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3\/5 + 978*y**2\/5 - 23004*y - 23200 = 0.\nAnswer: -1, 200, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -a?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 96632749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000032949 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q**2. Suppose 43*p - 201 = -3*y + 46*p, -3*p = -4*y + 264. Let n(a) = 280*a**2. Give y*f(k) + 2*n(k).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*q**2 - 7*q**2 - 12*q**2 + (4 - 4 - 2)*(q**2 + 2*q**2 - 4*q**2) + (q - 4*q + 0*q)*(-2*q + 2*q - 2*q) + 3*q**2 + 2*q**2 - 3*q**2 - 2*q + 2*q**2 + 2*q.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-3) - (3 - 2). Let c be y*-3*4\/(-4). Do 5 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138245987?\nAnswer: 11, 29, 433373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wff when three letters picked without replacement from {f: 17, w: 3}?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/6)\/(1\/6). Let y = 9 + g. Solve -17 = -2*a + y*x, x + x = 5*a - 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2937924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 2*a - 2. Let o be b(-2). Let z(j) be the first derivative of -3*j**4\/4 + 2*j**3 + 3*j**2 - 3. Let r(h) = h**2 + h. Calculate o*r(g) - z(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three fifths of a century?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 3. What is p(-9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/7)\/z)**14 assuming z is positive.\nAnswer: z**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) -0.7 (c) -5 (d) 3\/40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4*(-9)\/24)\/((-6)\/28). Let h = 10 - p. Suppose -5*y - 20 = 0, -h*y = 3*f - 4*y - 2059. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + 1.4. Let h(b) = 3*b**2 + b. Let n be h(-2). Let a = n - 7. What is the closest to 0 in a, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 5*l**2 - 12*l + 14. What is z(7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 2*l**4 - l - 2*l**4 - 2*l**4 + 2*l**4 + 2*l**4 - 2*l**4 - 3*l**4 + (110 - 246 + 106)*(4*l**4 + 2*l**4 - 5*l**4).\nAnswer: -33*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3080775\/1911814 + 11\/14594. Let n = a + -1\/2358. Calculate the common denominator of n and 75\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -143 - -32?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 20*y - 13. Let w be q(-21). Let c(l) = -49*l**3 - 3*l - w*l**2 + 48*l**3 - 6*l + 5. What are the prime factors of c(-8)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 10:13 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = 2*w, -3*w + 0*v + 8 = -2*v. Let f be w\/(0 + 1) + 19. Solve -2*p = 2*k - 8, 4*p - f = -k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (-39 + 27 + 3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-8)\/((-1280)\/(-8)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40152 equal to 40152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and -3324.\nAnswer: -93072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4 + 113*p - 145*p - 4. Let b(q) = q - 6*q + 3*q. Calculate b(k(d)).\nAnswer: 64*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*d + 10, -6 = f - 4*d + 5. Find the third derivative of f*l**3 + 34*l**2 - 131*l + 131*l wrt l.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8 + 12 - 9 - 5*n + 3. Let u(k) = -k**2 - 5*k + 4. Let a be u(-5). Determine b(a).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -15*q**3 - 2*q**2 - 5*q + 10. What is d(2)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 64099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5))\/((-8)\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12675.1888 rounded to 0 dps?\nAnswer: 12675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 861 and 84?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(2 + -5 + 2). Suppose -2*y + 100 = m, 0*m - 420 = -s*m - 4*y. What are the prime factors of m?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11 + 28 = 0. Suppose -8*y + t*y = 245. Suppose -b - 241 = -5*i - 0*i, i - y = b. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13124 = 4*a, 0*u - 6580 = -2*a + 3*u. What are the prime factors of a\/((-4)\/(-2*1\/1))?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 42*s - 326. Give i(13).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n - 62. Let z be p(13). Solve 0 = 3*x - z - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:51 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8637130 is divided by 2914?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {b: 8, f: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 14*a + 19. Let p be d(15). Let i = p + 4. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(315\/6)*((-2583)\/(-2993))\/9.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78907 divided by -14?\nAnswer: -78907\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/451 and -8\/2739?\nAnswer: 112299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6759951 millilitres?\nAnswer: 0.0006759951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11116 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21889722?\nAnswer: 2, 3, 29, 125803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**9\/72 + o**5\/60 - 15*o**2. What is the third derivative of k(d) wrt d?\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 2*h. Let w(r) = r + 3. Let c be w(-9). Let t be 1*(-2)\/4*c. Suppose -t*q - 8 = q. What is p(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 14*t**2 - 2*t + 34. Let a be m(14). Let o(x) = -x**3 + 6*x**2 - 3*x + 9. Determine o(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (60\/(-18))\/10*(-12)\/1. Suppose -z*g + 43 = -3*g. Let a = g + -31. Solve -3*c - m + a = -4*m, 0 = -2*c - 2*m + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 2.81907145 to two decimal places.\nAnswer: 2.82","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11516 and -0.82?\nAnswer: -9443.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -28. Suppose -2*x - 2*x = 2*r - 6, -r - f*x = -3. Factor -g**r + 0 - 1\/4*g + 5\/4*g**2.\nAnswer: -g*(g - 1)*(4*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 1)\/(-1) + 0. Suppose 2*z - 30 = 4*k, 5*k = -3*z + 6*z - 48. Suppose -t + 2*d = -9, -t + 0*t = p*d - z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (19 - 21) + -1 + 3. Solve -2*i + 2*t + 10 = k, 7*i = 4*i + t + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 7758 + 10601 - 5128 to the form a*i + t and give t.\nAnswer: 13231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408 and 8088.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -2. Factor -o*y**3 - 5*y**5 - 5*y**4 + 2*y**5 + 14*y**4.\nAnswer: -3*y**3*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 953*p + 24. Let q(r) = -635*r - 15. Let d(i) = 7*f(i) + 11*q(i). Let x(z) = 4*z. Give d(x(g)).\nAnswer: -1256*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199 - -137. Let i = x - -148. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 2*k**2 - k + 2. Let h be y(-4). Let p = h + -28. Find the second derivative of 20*l - 14*l - 8*l**4 - p*l - 4*l**4 wrt l.\nAnswer: -144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + 7. Suppose -4*f + 4*b + 20 = 0, 0 = -2*f - 2*f - b + p. Suppose f*d - 3*w = 118, -5*d + 81 = 5*w - 69. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107.762 - 0.238. Let z = g - -86.6. Let i = -21.39869 - z. Round i to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101022003 (base 4) to base 11.\nAnswer: 48887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 146712250 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 2:55 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 139*n**2 + 1294*n - 451. What is f(129)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88.7758 + -88.7. Let i = 0.08 - h. What is i rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4 = -5*t - 2*g, 0 = t + 2*g + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8647*m**2 + 8647*m**2 + 4*m - 7*m**3 - 10*m + 6*m.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, -21, -109, -285, -579, -1021, -1641, -2469?\n\"Answer: -5*s**3 + s**2 + 2*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 0.4, -0.0861 in descending order.\nAnswer: 0.4, -0.0861, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*b - 323 = 52, 5*b = 25. Let h(t) = 2*t**2 - 5*t + 4. Let c be h(3). Calculate the greatest common divisor of k and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15203*i - 2570 wrt i?\nAnswer: -15203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x - 334 + 558 = 330 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 681555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + -4121200?\nAnswer: -4121132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -21712955.\nAnswer: -21712955.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.1 - 0.1. Let k = 120095 + -120097. What is the nearest to -1 in k, y, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.127171, -0.05, 61, -4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/13)*w\/(w**(1\/5)\/w*w) assuming w is positive.\nAnswer: w**(72\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.8. Let m = -3.57644 - -1.57644. Which is the nearest to m? (a) 0 (b) v (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-2 + 8 + (-588)\/99)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)\/g*g\/((g*g*g*g*(g**(2\/5)\/g)\/g*g)\/g*g)*g*(g*g\/(g*g*g**(3\/4))*g)\/g**(-1)*(g**(-1\/3))**(-4\/15)\/(g\/(g**0\/g))**(-13\/5) assuming g is positive.\nAnswer: g**(-31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*t + 0*t - 21 = 0, -i - 3*t = -12. Suppose -5*r + 14 = -i*h - 4, -5*r + 13 = 2*h. Sort 10, -2, h.\nAnswer: -2, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222915 by -55.\nAnswer: 4053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.57, 14\/3, -4, -0.3, 5 in increasing order.\nAnswer: -4, -0.3, 14\/3, 5, 10.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39984.7 - 0.04426048?\nAnswer: 39984.65573952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 2 - 6 - 3*r + 1.\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -365*n - 3. What is the hundreds digit of b(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 20.1. Let y = j - 2.6. Let u = 1.5000044 - y. What is u rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 75\/20 + (2 - (-7)\/(-4)). Suppose z = -2*z - d - 600000, -400000 = 2*z - f*d. Round z to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 7. Suppose -y + 2*a + 10 = -0*y, -k*a - 18 = -5*y. Sort y, 5, 0.\nAnswer: 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*g**5 - 842*g - 306*g**5 + 11 + 1069*g wrt g?\nAnswer: -7500*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19035 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21933?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*z - 258, 3*z - 45 = -w + 48. Let x = -49 + w. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5 - 23*a - 27*a - 21*a + 65*a wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**4 + 5*u**3 + 840 wrt u.\nAnswer: -4*u**3 + 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 181269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2107*q**2 + 2*q - 12. Let a(x) = -11055433*x**2 - 10495*x + 62970. Calculate 2*a(c) + 10495*o(c).\nAnswer: 2099*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at most as big as 553\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by ((-4355)\/(-268))\/((-5)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 713 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 889*o**6\/30 - 65*o**4\/12 + 3*o**2 + 2*o - 7. What is the third derivative of n(d) wrt d?\nAnswer: 21336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2963303*h**2 + 3782519*h wrt h.\nAnswer: 5926606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a8 + 5b?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39611)\/(-429) + (0 - (-2)\/3). Which is greater: 91 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 212*s - 210*s. Solve 8 = -s*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2368 - -266. Calculate the remainder when p is divided by 139.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197400 = -23*b + 26*b. Round b to the nearest 1000.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3154.\nAnswer: -3\/3154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/60*22\/121*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caccrrrrqcrrrcar. Give prob of sequence crca.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(1\/(-4) - 12\/16). Put 1, 2, n, 5 in decreasing order.\nAnswer: 5, 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 358725 and 5500450.\nAnswer: 16501350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 22198851*a.\nAnswer: -a*(a - 22198851)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 102 = -6. Let f be 21*-1 + 1 + -2. Let s = f - i. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -11f?\nAnswer: 11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52076 - 52074. Let m = 0.58 - -29.42. Which is the nearest to m? (a) -5 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 73, 631, 2159, 5143, 10069, 17423, 27691?\n\"Answer: 81*y**3 - y**2 - 6*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 11907870?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(114)*2 - (sqrt(114) + -1*sqrt(114)*-3))\/(((sqrt(192)\/sqrt(4))\/sqrt(8) + sqrt(6))*-3).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 45. Suppose -4 = -4*h - c. Let t(y) = -y. Let z(v) = -v. Give h*z(m) + 4*t(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 18 - 14 + 35 - t**3.\nAnswer: 2*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a week?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Suppose j = -4*q + 20, 3*q + 4*j = 33 - 5. What is the greatest common factor of q and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 283 + -292. What is the fourth biggest value in l, -0.5, 3, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1.1. What is the smallest value in g, 3\/8, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*s**2 + 3701*s - 7389*s - 3*s**2 + 3688*s.\nAnswer: 133*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 5*j + 100 = 0. What is the third derivative of -65*a**6 + j*a**2 - 51*a - 62*a + 111*a wrt a?\nAnswer: -7800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 = -12*g + 1061. Let m = g - 263. Is m at least as big as -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 + -43.4?\nAnswer: -43.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u**3 + u**2 + 0 + 1\/36*u**4 + 0*u - 1\/90*u**5. Suppose q(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/5738 and -33\/5738.\nAnswer: 5738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1255854636 divided by 6.\nAnswer: 209309106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*1*(sqrt(192) + -2)*-3 + -4)*2)**2*3.\nAnswer: -92160*sqrt(3) + 673152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 33738, 0.1 in descending order.\nAnswer: 33738, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/(0 + -1 - -2 - 2). Suppose -r*b = -15*b - 280. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, l: 1, c: 3}. Give prob of picking 1 l and 2 c.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-52) + 141\/(-13) + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12790 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: What are the prime factors of ((-60459)\/12)\/(-7) - 9\/12?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4516110 + -655?\nAnswer: 4515233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdqbqd. What is prob of sequence bf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -18. Let u be ((-3)\/(-6) + 0)*r. Suppose -401 = -5*l - m + 83, -u*m + 92 = l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 29*q - 33*q. Let f be (1*(-10)\/3)\/(2\/q). Put 1, f, -4, -12 in increasing order.\nAnswer: -12, -4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6571 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**2 + 11*z**2 + 16*z**2 + 9*z**2.\nAnswer: 52*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 530143, 4, 2\/45?\nAnswer: 530143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18443.52003 + -250795.\nAnswer: -269238.52003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*n - 7383 = 0, 0 = 3*n - 3 - 3. Let r = j - 938. Suppose i + s + 435 = 5*i, -5*i - s + r = 0. Does 27 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/3 - 89*v\/3 - 88\/3 = 0.\nAnswer: -88, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*x - 19*x + 168 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2 + 6 = -31*o - 0, 3 = 4*o - 1 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let o(f) = f. Let k(m) = -5*m. Let u(d) = k(d) - 2*o(d). Determine u(w(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 3, -0.5, -0.0237?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600599 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*y - 19 = 4*y, y + 4 = 0. Suppose -s*f + 8 = -f. Let i be f*((-9)\/12)\/1. Is i smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*q = 25, -4*n + q + 32 = 5*q. Let b be n + -1 - (-4 - 0). Suppose 0*w + b = 3*w. What is the highest common factor of w and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28457 (base 10) to base 11.\nAnswer: -1a420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32962088?\nAnswer: 2, 127, 32443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.624 plus -15061?\nAnswer: -15220.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193407086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o**4 - 15*o**3 - 15*o**2 + 15*o + 6 = 0 for o.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499336?\nAnswer: 2, 187417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22756, -22750, -22744, -22738, -22732, -22726?\nAnswer: -22720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 + -70. Let h(i) = -2*i**2 + 154 - 150 + i**b. Let r(m) = -2*m**2 + 5. Suppose -g + 6 = 5*q, -5*q - 2 = 4*g - g. What is g*h(d) + 3*r(d)?\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786909.\nAnswer: 3, 262303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -11, 12, 33, 52?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4836 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21209512187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 392 + -390. Suppose 4*c - 1004 = -5*a, -d*a + 181 = 4*c - 211. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.153 to one decimal place.\nAnswer: -27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/265 and -31\/35.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2228259 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3036 divided by 3\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 15. Let p(x) = -x - 14. Let i(o) = -5*b(o) + 6*p(o). Let u be ((-10)\/2)\/(-1) - 0. Let w(v) = v + 9. Let m(t) = u*w(t) + 4*i(t). Calculate m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -14014*k**3 + k**2 - 3*k - 4. Let o be h(-1). Let g = 19865 - o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 10*s - 20. Let d(r) = -21*r**2 + 72*r - 144. Let o(a) = 5*d(a) - 36*i(a). Let f(l) = -30*l**2 - 13*l. Determine f(o(v)).\nAnswer: -270*v**4 - 39*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*g + 14746 + 359*g - 14749.\nAnswer: 98*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.21076 centuries?\nAnswer: 252.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97526*m**5 - 2*m**3*y - 281*m**2 + 4*m + 12*y - 4 wrt m.\nAnswer: 5851560*m**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 15*q - 34. Let y be o(-18). Let p = -91 - y. Let f = -434 - p. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.94161 - -81.41739. Let m = l - 83.1. What is m rounded to two decimal places?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2723.\nAnswer: 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-44)*11*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5313*z**4 - 4430*z**5 - 5313*z**4)*(-4 - 2 + 5).\nAnswer: 4430*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*p + 2*d + 54, 271*p - 269*p + 24 = 4*d for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438 = -23*q + 369 - 318 - 326 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1016\/40*(1823 + -1828)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 - 121 = -5*f. Let k be f\/(-3) + 5\/(-15). List the prime factors of ((-12)\/k)\/((-3)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3077.2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 583 * -1.7\nAnswer: -991.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(((-40)\/12)\/5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123288906 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**7\/6720 - t**6\/1920 + 13*t**4\/12 + 80*t. Let z(i) be the third derivative of n(i). Factor z(q).\nAnswer: 3*q*(q - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -14. Suppose 1586*s + 66 = 3*p + 1589*s, 2*p - 44 = 4*s. Which is smaller: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/192944 and -19\/2018?\nAnswer: 194680496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 - 5*q**4 + 7*q - 3*q**3 - 4 - 5*q + 2*q**3 to t*q**2 + d*q**3 + z + g*q + k*q**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 6*m**2 - 6*m + 10. Let q be v(-7). Suppose -q*h = -h + 8. Let k = h - -6. Solve 5 = k*w - o - 4*o, 0 = -5*w - 3*o - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*s + 6 = -2*k, 0 = -2*k - 3*s + 5. Is k at most as big as 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.52*42.\nAnswer: 63.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24665, -49341, -74021, -98705?\n\"Answer: -2*b**2 - 24670*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3264636, -13058535, -29381688, -52234089, -81615732, -117526611?\n\"Answer: y**3 - 3264633*y**2 - 7*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28781647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 30 = 2*p. Solve 5*t + p - 2 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 2*r - 2*r - r. What is j(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -s - 12, s = 24*t - 25*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/1198 and 67\/1690?\nAnswer: 1012310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 759, 1143, 1529?\nAnswer: 1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*w - 2*y + 9*y - 5*y, 2*y = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 8011.\nAnswer: 32044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55611931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 361 + 99*l + 4*l**2 - 154*l - 359 + 52*l. Let z(g) = g**2 + g + 0*g - 2 + 1. What is w(b) + 3*z(b)?\nAnswer: 7*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/17 in -1\/5, 4, -0.5, -0.9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -285474*l**3 + 221937*l**2 wrt l.\nAnswer: -1712844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 5. Let p be v(-4). Suppose 2*r - p = 7. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1065\/209 + 102\/19. Let i(q) be the third derivative of 3*q**2 + 0 - 7\/330*q**5 + 0*q + 5\/44*q**4 + 1\/660*q**6 - x*q**3. Find h, given that i(h) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*k - 4*k - 12, -h - 9 = 3*k. Suppose -4*p + 135 = -z, 0 = 3*z - z + p + 261. Let c = z + 135. Solve h = -c*n + 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 33 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + -4023?\nAnswer: -4103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1737 - -3198. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -2 + 1 + (21 - -44 - 105 - -41)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 72770 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**7\/168 + g**6\/12 - 37*g**5\/80 + 13*g**4\/24 + 15*g. Let l(o) = 0. What is o?\nAnswer: -13, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 11*x + 10 = 0. Let j = x + 12. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 684.2 - 625. Let q = -10.7 + u. Let a = 48 - q. Sort a, 3, 5 in increasing order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 4*r - 4*r)*(-r - 3*r + 0*r).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -141*g + 4145. Let f be u(29). Solve 5*k = 59*q - f*q, 3*k + 6 = 3*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s**3 - 3116*s**2 + 688*s + 1318. Give a(346).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 1804 = 4*f - 1788, 0 = 8*z + 2*f + 30 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83662 a multiple of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 - 123. What are the prime factors of (-3)\/(y - 41251\/(-5159))?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1329, 2, -2\/131, -0.3.\nAnswer: -0.3, -2\/131, 2, 1329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -15*c + 42 - 64 + 8*c - 2*c**2 - 12*c**3. Is 14 a factor of k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - w, -20*k + 22*k - 2*w = 0. Let h = -27\/5 - -6. Factor k - 3\/5*p + 3\/5*p**3 - 3\/5*p**2 + h*p**4.\nAnswer: 3*p*(p - 1)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03785 and 0.15.\nAnswer: 0.0056775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 21920*v + 153409. What is r(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16*y = -13*y + 14, 5*y - 30 = -5*h. Let q(r) = 24*r - 3. Let f be q(2). Put h, f, -5 in decreasing order.\nAnswer: f, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 3 + 5 - 7 + 81*u**2 - 2. What is the tens digit of i(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) 0.4 (c) -55.7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Let c(g) be the first derivative of 8*g**3\/3 - g**2\/2 - 1. Is 7 a factor of c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1044, 532, -1528, -5142, -10316, -17056, -25368, -35258?\n\"Answer: -u**3 - 768*u**2 + 1799*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*s + 9*s**3 - 382*s - 23*s**3.\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b - 1. Let d be j(1). Let u = d + 4. Let x = u + -2. Solve 3*o - x = 6*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*v + p, -5*p + 16 = 3*v - 3*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 16, 10, 0, -14, -32, -54?\n\"Answer: -2*d**2 + 4*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 51 (b) -37 (c) 4 (d) 0 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 115*c**2 + 144*c - 157. Determine v(56).\nAnswer: -1501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8068 - 3819. Suppose 8*x - d = x. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/11, -5, 30\/79, -0.12 in decreasing order.\nAnswer: 30\/79, 2\/11, 0, -0.12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4 + 97*q + 1 - 91*q. Let y(a) = -a - 1. Give s(o) + 3*y(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**4 - 5120*u**3 + 306*u + 27 wrt u?\nAnswer: 24*u**2 - 30720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5379193328 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 14) + 57\/(-9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -6. Let r = s - 9. Let n = r + -4. Which is the second biggest value? (a) -0.3 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80581470.\nAnswer: 2, 3, 5, 19, 141371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31.87661mg?\nAnswer: 31876.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9326 (base 15) in base 7?\nAnswer: -156426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2112, 4223, 6334, 8445, 10556?\nAnswer: 12667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 76*p - 1238. List the prime factors of o(37).\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2\/33, -1\/18, 3, -10, 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u**2 + 2. Let g be 1\/(2*(-3)\/12). Let z(a) = -9*a**2 + 3. Let r(m) = g*z(m) + 3*k(m). Let j(c) = c. Calculate r(j(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 472*f - 447. Let k be i(1). Let x(t) = -t**2 - t + 5. Let d be x(0). What is the greatest common factor of d and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = -2*m - 13. Let u = 185 + m. Suppose -5*b = -b - u. What is the remainder when 40 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4))\/((-245)\/(-161)*(-29)\/203)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 38, 115, 264, 509, 874?\nAnswer: 1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/6 + 2)*(-48)\/8. Solve -z - 19 = s*m, -5*z = -3*m + 2*m + 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m - 2*m + 2*m)*((8*m**2 + 8 - 8)*(2 - 2 - m) + (m**3 + m**3 - 3*m**3)*(-1 + 5 - 2)) to the form a*m**4 + d*m**3 + n*m + q + c*m**2 and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1574, -12449, -41970, -99461, -194246, -335649?\n\"Answer: -1554*p**3 + p**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.436411 rounded to 1 dp?\nAnswer: 186.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1100)\/85)\/(-22))\/(4\/((-20)\/5)).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -11101633?\nAnswer: -11101636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3048 and -7\/1032.\nAnswer: 131064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 2. Let u be a(0). Let m(v) = -2*v**3 - 3*v**2 - v + 1. Let k be m(u). Which is smaller: 8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69229 and 2889?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67759036.\nAnswer: 2, 2357, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27 - -27)\/(5\/(-1)). Let j be b + (-19)\/(5*(-3)\/(-105)). What is j rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*i + 35 = 0, 46*v - 41*v + 33 = 3*i for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 324140, 1296561, 2917264, 5186249, 8103516, 11669065, 15882896?\n\"Answer: 324141*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 6*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eded when four letters picked without replacement from ddddeeddeed.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 68. Suppose -13*u = -3211 + 676. What is the remainder when u is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -338*b - 15. Give w(-1).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 68 = -5*o. Solve -5*u = 4*w - 2*u + 4, -o*w - 20 = -u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**3 - 2*r**3 - 2*r**3 + (3 - 3 - 2*r)*(2*r**2 + r**2 - r**2) - 2 + 2 - r**3 + 2 - 1 + 0 - 2*r**3.\nAnswer: -6*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2613 - 2610. Solve -3*n - 2*n - 5 = a*v, 3*v - 7 = -2*n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91635435 to the nearest integer?\nAnswer: 9573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p**3 - 4*p**2 - 2*p - 1. Let m(r) = -r**3 - r**2 - 1. Let b be (-6 + (-77)\/(-14))*2. Give b*h(c) + 4*m(c).\nAnswer: 2*c**3 + 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.307 + 0.35. Let a = r - 0.04295. Round a to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2448) + 1) + (-5*(-1 + sqrt(2448)) - sqrt(2448)) + sqrt(2448))**2.\nAnswer: 264*sqrt(17) + 296209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 336*r - 52077. Give g(155).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 8. Suppose -25 = 3*l - 5*c - 2, 3*l - 4*c = -25. Determine f(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 n when four letters picked without replacement from nrrrnnrrlrrrrrl?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2. Let f = 6 - -3. Let y(o) = -2 - 3 + 13*o - 4. Let h(d) = -3*d + 2. Let u(b) = f*h(b) + 2*y(b). Calculate u(l(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-3 + 6) + 5. Let w(p) be the first derivative of 4 + d*p**2 - 3 - 11. Let t(c) = -2*c. Determine w(t(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/275 and -22\/175?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 70. Suppose -4*a - a = -l. Find the first derivative of 35 - 17*j**a - 4*j**3 + 35 - 55 wrt j.\nAnswer: -63*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1469*d + 11782 = -5*t, 3*d - 3*t + 12 = -d + d + 4*t - 5*t for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1013532 * -5.1\nAnswer: -5169013.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-1\/3)))**(3\/7))**(-34) assuming q is positive.\nAnswer: q**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*g**2 - 34*g + 4*g**2 - 75*g**2 to the form c*g + y + h*g**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -17429.\nAnswer: 17429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + (3 - 2) - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 7*j + 2*s + 28, -5*j + 4*s - 4 = 0. Let b be (8*-2 + -1)*-1. Let l = b - j. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02355839 to 4 decimal places.\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 4*v**3 + v)*(28 - 20*v - 28).\nAnswer: -80*v**4 - 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1123988066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*c + 2*q + 120, 246 = -4*c + 5*q. Let v = 14 - c. Let z = -40 + v. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 76.8 from -3.\nAnswer: -79.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 2. Let d be h(-2). Suppose d = -4*r - 5*n - 5 - 2, -4*r + 2*n = 14. Let o be (-2 - -2)\/r + 0. Solve 16 = -3*c + 5*g + 4, o = -3*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 239414 and 1396.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6200268923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 28*r**2 + 29*r + 12. Let w be q(-3). Let k = w - 50. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 6*j + 5*q + 7, -4 = -3*j - 2*q. Suppose j*g - 13 = 29. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 7:42 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.02 + 0.49. Let m = y - -0.483. Round m to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*d = 2, -74*a + 75*a + 4*d - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205855039 is divided by 5056.\nAnswer: 5055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -5*n - t + 4*t, -138 = -5*n - 2*t. Let k be ((-70)\/(-22) + 6\/(-33))*n. Let c = 12 + k. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v - 2 = 0. Sort v, 0, 2 in descending order.\nAnswer: 2, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**12*w**(-1\/2)*(w*w**(2\/13))**(8\/7))**(-40) assuming w is positive.\nAnswer: w**(37060\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**2. Let z(y) be the second derivative of 3*y**3\/2 - 7*y**2\/2 - 10*y. Let f(c) = 5*c - 4. Let s(v) = -7*f(v) + 4*z(v). What is r(s(a))?\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 101001010111 (base 2) to base 16\nAnswer: a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 3\/12*52. Let d(c) = c**2 - 6*c + 31. What is the remainder when d(y) is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8464691 and -641277.\nAnswer: 7823414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2363720 is divided by 613.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 150, 227, 322, 435?\n\"Answer: 9*c**2 + 50*c + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -7.6 (b) -12 (c) -10 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = x - 160. Let k = x - -36. Solve k*y = 10 + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32.43 and -0.1187.\nAnswer: -3.849441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12054 = -91948*k + 92095*k for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2*q**3\/3 + 1. Let u(v) be the third derivative of 0*v**4 + 0*v + 194*v**2 + 0*v**3 - 1\/10*v**5 + 0. Determine u(j(z)).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 4*k + 2. Let f(t) = -4*t**2 + 21*t - 11. Let w(x) = 2*f(x) + 11*v(x). What are the prime factors of w(-3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzubbbobopbouubbb. What is prob of picking 1 b, 1 o, and 1 z?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43169 + -22381. List the prime factors of w.\nAnswer: 2, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -1 - 11. Calculate the remainder when 22 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 + o**2 + o**2)*(2144*o**2 + 4*o - 2*o + 1936*o**2 + 1695*o**2 - 7386*o**2) to the form x + a*o + i*o**4 + z*o**2 + d*o**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: a5286 (base 11) to base 9\nAnswer: 253375","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g - 6*g + 494. Let f = 3 - 3. Suppose 2*o - g = 5*l - 9, 3*o - 4*l - 15 = f. Solve -3 + o = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 138, 1\/7, 42, -2.72 in descending order.\nAnswer: 138, 42, 1, 1\/7, -2.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42056, -84048, -126040, -168032?\nAnswer: -210024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7 = -2*w + 1, 25 = 5*w. Suppose 0 = j*y - 138 + 14. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*p**4 + (2*p**2 + 2*p**2 - 5*p**2)*(4*p**2 - 5*p**2 + 2*p**2 + (1 + 2*p - 1)*(3*p + 2*p - 2*p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-2\/3)*b)*b*((b\/b**(1\/2))\/b)\/b)\/((b**(3\/8)*b)\/(b\/(b\/(b**(-7)\/b)))) assuming b is positive.\nAnswer: b**(-245\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)\/o)**(2\/7)*o**(1\/6)\/o**(2\/5) assuming o is positive.\nAnswer: o**(-62\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:52 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 + -169. Let m be ((-4)\/8 - 0)*g. Solve -4*x = 5*q - 3*x - m, -4*x - 4 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11020111112 (base 3) to base 7.\nAnswer: 465233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -0.013, -2 in decreasing order.\nAnswer: 3, 0.1, -0.013, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from innnnininniinnii. Give prob of picking 4 i.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + -1*(-4*(-1 + sqrt(288)) - 1*sqrt(288)*4) + 0)**2.\nAnswer: -92160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1495 and 39215?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 + 4 = 0. Suppose t + 4*k - c = -5, -t + k = -1. Let j be t - 1 - (2 - 863). Round j to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from khkhhhnkhkhnk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*k = 51, 3*k + 15 = -4*d - 78. Let z be (3 - 135\/3)*(-7)\/14. Let t = d + z. Is -3 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/9 + 16405636*b**2\/3 + 65622536*b\/3 + 196867600\/9.\nAnswer: 2*(b + 2)**2*(b + 24608450)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694476377.\nAnswer: 3, 11, 17, 91529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 - 5*i**2 - 126.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 47*j**2 + 23*j + 29. Suppose -91*c + 1115 + 1069 = 0. Give r(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -14*o + 110. Determine h(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000105906 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-3))\/((-4)\/18). Let r = 1 + a. Suppose o - r - 5 = 0. Solve -o = -t + 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, j: 1, z: 11, a: 3}. What is prob of picking 2 a and 1 v?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/55)\/(n\/(n*n\/n**(1\/5)*n))*(n*n\/n**(-17))\/(n*n**(-7\/2)))**19 assuming n is positive.\nAnswer: n**(48773\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 + -17) - 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + (-2 + (sqrt(1584) + -2 - sqrt(1584)))*6 + 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1837271918037961\/74865 - 24541132950. Let l = -1\/3565 + b. Calculate the common denominator of l and -13\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -34*l + 5. Let s(n) = 3*n - 1. Let f(g) = k(g) + 5*s(g). Let q(i) be the second derivative of 0 - 5*i - 1\/3*i**3 + 0*i**2. Give q(f(b)).\nAnswer: 38*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 10*u**2 + 13*u - 12. What is the units digit of o(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 0.7. Let k = y + 0.062. Round k to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/15 - 1\/3. Let p = 3.04 - 0.04. Is p > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/16 (b) 2\/275 (c) 11 (d) -1\/3 (e) 1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 218409, 436748, 655087, 873426, 1091765?\n\"Answer: 218339*n + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9970\/37? (a) 0.1 (b) 2\/35 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198 + (-2)\/8*-4?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 29*f. Let g(y) = 65*y. Let d(j) = -4*g(j) + 9*r(j). Let a(q) = 284*q. Give d(a(z)).\nAnswer: 284*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 696 divided by 348?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.09, -3\/2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 111 = 6*t, -2*q + t - 1154173 + 1154084 = 0 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-1)\/2))\/(19\/(-114))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(690\/(-20))*324\/1. What is the highest common divisor of p and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 986683, 986682, 986681, 986680?\nAnswer: 986679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 (base 16) in base 9?\nAnswer: -1753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 95. Let t = 55\/3 + -1103\/60. Let w = -23\/60 - t. What is the third smallest value in g, w, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 718*z + 0 + 2216*z**3 + 0 + 587*z - 5174*z wrt z.\nAnswer: 13296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**4\/20 - 74*b**3\/5 + 438*b**2\/5 - 872*b\/5 - 3217. Determine d so that m(d) = 0.\nAnswer: 2, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 4*i + 0*i)*(0 + 0 - i**3 + (-2*i**2 + 0 + 0)*(1 + 2*i - 1) + (2*i - 4*i + 4*i)*(3*i - 2 + 2)*(11 - 11 - 10*i)).\nAnswer: -325*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 c, and 1 u when four letters picked without replacement from {u: 4, c: 8, n: 5, o: 2}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/3*c - 1\/6*c**2 - 625\/6.\nAnswer: -(c + 25)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(95)*5*-3*3)\/(sqrt(5) + (sqrt(5) - -3*sqrt(720)) - (sqrt(125) - (sqrt(125) - sqrt(125)*2) - sqrt(125))).\nAnswer: 60*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60729, -58816, -56903, -54990, -53077, -51164?\nAnswer: -49251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.679 + -0.3.\nAnswer: -44.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1630 = -19*f + 1554 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyz. What is prob of sequence yz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*t + 32 = -6, 2*t = -4*h + 60. Suppose h = -4*j + 4. Is 10 a factor of -4 + 0\/j + 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010110000010001000100 (base 2) to base 10\nAnswer: -7013444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 - n**3 + 2*n**3 + (121*n - 306*n + 102*n)*(n**2 - n**2 + 3*n**2).\nAnswer: -251*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 2.1, -5, 8, 23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o - 616868231 + 616868231.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1436\/76826 - (-1056)\/749\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24 (b) -0.1 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/11)*h*h**(2\/7))**(-1\/11) assuming h is positive.\nAnswer: h**(-155\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9563*v**2 - v + 68626 wrt v?\nAnswer: -19126*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 34. Suppose c = -r + 4*r. Let l(y) = 3*y + 20. Let h be ((-34)\/6)\/(4\/12). Let p(t) = t + 7. Calculate h*p(g) + r*l(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -a + 378, -3*a + 1116 - 10 = 5*b. Suppose -g - g + 10 = 0. Suppose -g*y = -a - 93. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 518008 + -314809. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {x: 2, t: 1, a: 4, s: 3}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 1, -1\/2, 7\/1314, -5\/4, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -17*z + 3753. Give n(239).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1406, -4, 1738.\nAnswer: -1406, -4, 1738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9248 by -1.\nAnswer: -9248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -5 + (4 - 4). Let q(h) = h**2 - 3*h + 3. Let j be q(3). Let v(t) = -3*t**j - 1 - 2*t**3 - 5*t**2 + 3 - 3*t + 4*t**3. What is v(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3963 is divided by 397.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*v + v + 48 = 0, -3*v = -12. Let k(z) = 4*z. Let q(f) = 213*f + 14. Let r(l) = -2*k(l) + q(l). Is r(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.024004 (c) -6 (d) 3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 276 + (-36)\/(-6) + 5. What is the greatest common factor of k and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -11*t**2 - 2*t**2 - 1 - 1 + 2*t**2. Is u(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2779206 and 1254.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(-1 + sqrt(5) + 1 - (5 + sqrt(5) + 3*sqrt(5))).\nAnswer: 25 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbg when three letters picked without replacement from {g: 4, b: 16}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117.980453 + 11.\nAnswer: -106.980453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 7)\/((-1)\/(-3)). Suppose 5*o - 28 + y = 0. Solve -3*z - x = -3 + o, -2*z + 5*x = 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 17253?\nAnswer: 1725.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-29 - 11 - 31 - (2 - -4)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22102 (base 5) to base 7\nAnswer: -4311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1036416 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1*(-30)\/(-100)*(-12)\/297?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j - 51 = 0. Calculate the remainder when (j\/(-34))\/((-3)\/(-212)) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (3 - -7 - 43).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h + 4. Let f(q) = -q**3 - 5*q - 4 - q**h - 5*q**2 + 6. Determine f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*i + 8, 0 = -i - 3*w - w + 16. Solve 3*o + 4*j + j - 10 = i, 0 = -4*o + 4*j - 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-7) + 6 + (-16)\/(-28). Let j(g) = 4*g**2 - 4*g + 3. Let y(m) = 5*m**2 - 4*m + 3. What is f*y(p) - 7*j(p)?\nAnswer: 2*p**2 + 4*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -267, -269, -271, -273, -275?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**4\/12 + 5*d**3\/6 + 100*d**2 - d - 7. Is 8 a factor of l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7863*x - 7823*x + 240 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a decade in years?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**5 + 16*g + 319442*g**3 - 319442*g**3 + 13 - 186*g**2 wrt g.\nAnswer: -40*g**3 - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 8*a**2 - 3*a - 5. Calculate the smallest common multiple of t(7) and 5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by (-694)\/(-18) + (-72)\/(-162)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1 - 12) + 354 + -310 + -58?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1576 - 1575.9187. Let u = z - 11.1713. Let x = -0.09 - u. Is x > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23667 and 6049.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 643 - 642.9994711. What is m rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430135.5 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - r - 6, -3*o + 0*o + 8 = -2*r. Calculate the smallest common multiple of (o + 77\/(-14))\/(3\/(-24)) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 64 in descending order.\nAnswer: 64, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36256452 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/12 + (-88)\/48.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**4 - a**4 + 0*a**4)*(3*a - 5*a - 6*a).\nAnswer: -40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*q + 15 = 0, -9 = -0*w - 4*w - q. Suppose r - w = -0*r. What is the greatest common factor of r and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1505410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, l: 4, z: 3}. What is prob of sequence lxx?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - 3) + -1 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104227724, -104227730, -104227740, -104227754, -104227772?\nAnswer: -104227794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/(-50)*(-10)\/(-2). Let m be (0\/t)\/(1\/(-1)). Determine x so that x**3 + m*x**5 + 0*x**5 + 7*x**4 - 6*x**4 - x**2 - x**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-476)\/36 - -13)\/((-78)\/(-117))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:24 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -933 * -4.\nAnswer: 3732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 + 2.9. Let u be 2\/6 - 210\/(-54). Let r = -427\/99 + u. What is the second smallest value in -0.2, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4*24\/18)\/(2\/(-39)). Which is bigger: -105 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.4 (b) -23 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) -3 (c) -12 (d) 19 (e) 79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, x: 3, w: 3, k: 1, l: 1}. Give prob of sequence xwk.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74215 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2314660*z. Let u(t) = -2*t. Determine n(u(i)).\nAnswer: 4629320*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7354 = 2*k - 3*h + 2303, -10067 = -4*k - h. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = z + 5*d + 14, -z + 5*d + 9 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354653*-346.\nAnswer: -122709938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -345 (b) -0.4 (c) 2\/19 (d) -11545\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -21*f**2 + 2*f + 1. Let a be m(-1). Let k = a - -84. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 1\/30*d**6 + 5*d + 0*d**2 + 0 - 5\/12*d**4 + 0*d**3 + 0*d**5. What is the third derivative of c(y) wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -1. Suppose f = -5*u + z*u - 109, f + 114 = 4*u. Let x be 2\/(-5) - f\/25. Solve -x*o = -9 - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1976, 1978, 1982, 1988, 1996, 2006, 2018?\n\"Answer: h**2 - h + 1976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 108, 308, 680, 1278, 2156, 3368, 4968?\nAnswer: 7010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqdqqyyyqydyy. Give prob of sequence dq.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 512 + 4?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -453? (a) 917 (b) 1\/4 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*w + 14, w + w - 5 = -j. Suppose 5*c = w + 32. Let i = 14 - 6. Calculate the lowest common multiple of c and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3 + 1014*q**2 - 8164*q + 12264 = 0 for q.\nAnswer: -1022, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 30 (b) -3 (c) 6.1 (d) 0.1 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 313247 and 23276?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 97*h**2 - 1\/24*h**6 - 45\/2*h**3 + 0 + 15\/8*h**4 + 0*h + 1\/4*h**5. Factor r(s).\nAnswer: -5*(s - 3)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*v + 12, -2*q + 12 = -0*q + v. Suppose 0 = q*w - 6*w - 6. Let z = 4 + w. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 5. Let x(r) = -3*r**2 + 12*r + 5. Let i be x(f). Suppose -i*g = -7*g + 56. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(25)*-4)\/(sqrt(45)\/sqrt(81)))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {z: 1, h: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 9*n - 8. Determine h(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z + 6. Let h(v) = -v - 1. Let f(w) = -b(w) - 6*h(w). Let g(x) = 2*x**2 - 2. Let i(m) = 10*m**2 - 11. Let d(l) = -11*g(l) + 2*i(l). What is d(f(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1\/3 (c) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*n - 116*n - 893*n in the form r + z*n and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 93. Calculate the least common multiple of 4 and (-1)\/(-5) - l\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2077313 + -1453?\nAnswer: 2075640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/5 - ((-3216)\/(-10))\/(-4) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11402 (base 6) in base 13?\nAnswer: -9a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 36. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.430813 to 3 dps.\nAnswer: -0.431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63128 is divided by 2875.\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 5.\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxjjxxjxxxxxjjjjx. What is prob of picking 3 j?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 484\/(-132)*(-3627)\/(-429)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 181429, 180068, 177799, 174622, 170537, 165544?\n\"Answer: -454*y**2 + y + 181882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/5)\/(2\/(-10)). Let x be -10 - (2 + -2)\/s. Let c = -4 - x. What is the remainder when 17 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141124 + -1321?\nAnswer: -143000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*m - 6*q + 40, m = -3*q + 8. Sort 4, -3, 0, m.\nAnswer: m, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 169, 7221 in ascending order.\nAnswer: 5, 169, 7221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3\/5)\/i)\/i*i\/(i*i**6)*i)\/(i**(2\/3)*i)**(-1\/66))**50 assuming i is positive.\nAnswer: i**(-37495\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 3*z + 2. Let q be g(2). Suppose 5 = -q*v + 1. Let c be (4\/18)\/((-1)\/(-6)). What is the second biggest value in -4, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45\/44 - -3\/11. Let r = -113\/5 - -23. Let y = 38 - 49. Which is the second smallest value? (a) r (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 16. Let c be (-20)\/6 + (k - 1). Suppose 0*p + 8 = -2*p - 3*f, -4*f = 2*p + 10. Which is greater: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5801914 by 200066.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 938*z + 10*z**2 - 938*z - 9*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = 3*n + 4515, -5*v = 0. Let f = 3916 + n. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4068, 4076, 4086, 4098, 4112?\n\"Answer: s**2 + 5*s + 4062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 21*x**2 - 15*x - 29. Determine r(20).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 278 = 13*n + 4*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -492114*y**2 - 2*y + 1239321 wrt y.\nAnswer: -984228*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h**4 - 4*h**2 + 7*h + 7. Let v(o) = 10*o**4 + 3*o**2 - 6*o - 6. Let m(q) = -7*v(q) - 6*w(q). Find the third derivative of m(r) wrt r.\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of (-24 - -42)\/((-2)\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llghrhldlddghh. What is prob of picking 2 h and 1 l?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1135750?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*a**2 + 24 - 14 + 11*a**2 - 16 as u*a**2 + b + c*a and give u.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4301233 (base 7) to base 9.\nAnswer: 874304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:51 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*g**6 + 19*g**5 - 3*g**4 - 37957*g**2 wrt g?\nAnswer: 8640*g**3 + 1140*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03789300046 rounded to 6 dps?\nAnswer: 0.037893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 227, 540, 991, 1586, 2331, 3232, 4295?\nAnswer: 5526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**3\/3 - g. Let p be l(-2). Which is bigger: 3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 9:17 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + (-37 - -102) + (5 - -20) + 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50655678?\nAnswer: 2, 3, 1439, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -5, 112?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.88194 tonnes to milligrams.\nAnswer: 68881940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 10681?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02007 minus 0.440023597?\nAnswer: -0.460093597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000086172 to 7 decimal places.\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 136452140?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.431 bigger than -45.1923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = x, 5*z - 2 = 2*x - 3. Suppose a - 3*r - 17 = -a, -1 = 2*a + x*r. Find the second derivative of a*y**2 - 5*y**2 - 3*y + 2*y wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.4 (b) -4 (c) 3 (d) 263703.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 509 + 525. Let m = 19149.829817797 + -20183.82981731. Let t = m + l. Round t to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72 and -0.08.\nAnswer: -5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 1. Let l(z) = -2*z - 2. Let o(t) = -29 - t**2 + 7*t - 20 + 42. Let q be o(5). Calculate q*l(a) + 8*f(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358*m + 1361*m + 13 = 4*u, -4*u = 6*m - 58 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 15*g - i = -8, 4*i = -g + 11. Calculate the lowest common multiple of g and (-2)\/6*(-1 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 7*d**2 + 2*d + 3. Let b be o(-3). Let v = 69 + b. Which is greater: 29 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w. Suppose 6*m - m = w. Suppose t - 2 + 0 = m. Solve t + 8 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 2282?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 61?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1339.1397 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121004355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 95 (b) 1\/9 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 120534*h**4 + 2*h**3 - 120*h**2 - 484667470 wrt h?\nAnswer: 482136*h**3 + 6*h**2 - 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (29313\/2)\/(22 + 123\/(-6)). Round y to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 10*u - 14 = 0, -s - s + 93*u = 150*u - 56*u + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/1361? (a) -8 (b) 5 (c) -31 (d) -4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*d - 27 = -7*d, v + d = 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(z + 3*z - 3*z) - 2133*z + 3413*z - 1759*z + z + 5*z - 4*z.\nAnswer: -479*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -315401\nAnswer: -94620.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*g + 1 - 33*g - 9*g**2 + 62*g)*(2 - 7 - 19).\nAnswer: 216*g**2 + 48*g - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let g be (3 - 1)*4\/s. Solve 5*n - g*d - 3 = 2, -4*d = 20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/12 - 7\/(-28). Which is the nearest to 0? (a) d (b) -0.4 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151659607283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 278161 or 277535?\nAnswer: 278161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 - p**4 + p**4 + (5*p**4 - 2*p**4 - 4*p**4)*(-3 + 1 + 1) - 3*p**4 + p**4 - 4*p**4.\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 642957942 a multiple of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-198)\/21)\/2 - -5\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.2, 20, 4.\nAnswer: -0.3, 0.2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 60596.27um?\nAnswer: 6.059627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373199404*n*p**4 - 5*n*p - 64552*n - 5*p**2 - 18*p wrt p?\nAnswer: -8956785696*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1363*1\/(4*(-1 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 16*k - 62. Calculate s(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -50, -50, -52, -56, -62, -70?\n\"Answer: -x**2 + 3*x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14*f + 7. Let d(j) = 17*j - 6. Let x(a) = -a + 3. Let q(n) = -d(n) - 4*x(n). Determine 6*c(k) + 7*q(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 282126*s**2 - 139389 wrt s?\nAnswer: 564252*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)\/q*q*q\/(q\/q**6))**(2\/47)\/((q\/(q**(-2\/7)\/q))**(-34)\/((q\/(q*q**(-4\/3)*q)*q)\/((q*q\/(q\/(q*q**5*q))*q)\/q))) assuming q is positive.\nAnswer: q**(70040\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 34 - 124 = -4*y, 2*y = 2*o + 46. Suppose -135 = 5*w - y. Let v = 28 + w. Solve f - v = 2*i + 2, 0 = -2*i - 4*f + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -56.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 - 5*a**2 - a**2 + (-4 + 4 - 5*a)*(0 + 0 + 3*a) in the form l*a**2 + i + f*a and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12754, -12983, -13342, -13825, -14426, -15139?\n\"Answer: i**3 - 71*i**2 - 23*i - 12661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16*s**3 - 120*s**2 + 667*s - 1172. Let t(b) = -153*b**3 + 1140*b**2 - 6336*b + 11136. Let a(w) = -5*t(w) - 48*v(w). Factor a(c).\nAnswer: -3*(c - 12)*(c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/15 + 7852*r**3\/15 - 15688*r**2\/5 + 94096*r\/15 - 12544\/3.\nAnswer: -2*(r - 3920)*(r - 2)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-4))\/(t*t**(-5)\/t*t))\/(((t\/((t*t**(-8)*t*t)\/t))\/t)\/(t**2*t)) assuming t is positive.\nAnswer: t**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 2*g + 2. Let t be d(-2). Let q = -2.0369 + 3.7369. Which is the third biggest value? (a) t (b) -1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**3 + t**2 + 4*t. Let w = -12 - -17. Suppose 0 = w*i - 4 - 6. Let r(o) = 27*o**i + o - 27*o**2 - o**3. Give g(v) - 5*r(v).\nAnswer: -2*v**3 + v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122185*c**2 + 122160*c - 25 = 0. What is c?\nAnswer: -1, 5\/24437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.44617 and -264.\nAnswer: 645.78888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 23, -31, -0.4, 1\/8, -1357\/3, -2\/9?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(44)\/sqrt(4)*-5))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.027, -0.3, -135 in ascending order.\nAnswer: -135, -3, -0.3, -0.027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136\/99 - -14\/9. Let r be (29\/348)\/(2\/(-3)). Which is the nearest to n? (a) -2\/5 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861913.\nAnswer: 13, 66301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.2. Let f = 49.8185 + -54.8185. Which is the third biggest value? (a) 0.5 (b) u (c) f (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) 4 (c) 7 (d) -555.6 (e) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/9)*q**(-2)\/q*(q*q**(-1\/3))**(1\/33) assuming q is positive.\nAnswer: q**(-317\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*k**2*u**2 - 361742*k**2*u + 6*k*u**2 - 7532*u**2 + 54 wrt k?\nAnswer: 8*k*u**2 - 723484*k*u + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 2*t**2 + 0*t**2)*(0*t - 2*t**2 + 0*t) + 3*t**4 + 3*t**4 - 3*t**4.\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(-3*g + g + 3*g) - 3*g + 2*g + 0*g - 4932 + 4932 + 36*g.\nAnswer: 37*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4, -159, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 8. Let a be x(-8). Suppose 3*z + 4 - 25 = -2*g, a = -3*g + z + 4. Calculate the greatest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2951297\/420 - 28105\/4. What is the common denominator of -45\/14 and z?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(448))*1 - (sqrt(448) + ((sqrt(448) - (sqrt(448) - sqrt(448)*-3))*-6 - sqrt(448))))**2.\nAnswer: 1088*sqrt(7) + 129488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 77. Let h(z) = z**2 + 3*z - 6. Let f be h(n). Suppose f = 9*k - 5*k. Are 8 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/20*50\/3. Suppose -5*p + 5*g - s = -60, -5*p - 2*g + 26 = 0. Let z = p - 2. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x**2 + 69601 + x + 12*x**2 - 69601.\nAnswer: 33*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1315, 3686, 7095, 11542, 17027, 23550, 31111?\n\"Answer: 519*i**2 + 814*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -92) + (-2 - -5) + -16?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5504.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*q + 2*q. Let a be 4\/q - (-68)\/(-20). Let i = 1 + a. Is -2 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111111011 (base 3) in base 12?\nAnswer: 43304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/14 - (1462\/(-14) - 3). What is the highest common factor of c and 1391?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/3 - 43522*n\/3 - 43520\/3 = 0.\nAnswer: -21760, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26120520 = -385*a + 25*a. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13*w**2 + 2*w - 5. Calculate the remainder when l(-3) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 86, 2\/981, 4\/7 in descending order.\nAnswer: 86, 4\/7, 2\/981, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/23))**6*(u*u**11)**(3\/13) assuming u is positive.\nAnswer: u**(984\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -833262 divided by -1\nAnswer: 833262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 28 = -13. Let j be 17 + (20\/(-16))\/p. Let y = j - 17. Which is the third biggest value? (a) -6\/5 (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 4*t + 10 + 34, 27*c - 51 = 4*t + 22*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239148679 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 - 6*w + 4. Let l be u(-7). Let f = 8 + l. Suppose 2*m - 3*m = -2. Sort m, f, -4.\nAnswer: -4, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31f + f0b?\nAnswer: bec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 11818913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {s: 2, a: 5, y: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.483 rounded to one dp?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - a = -18, -6*a - 2 = 6*t - 18*a + 13*a + 4*a + 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/53424054 and 61\/162.\nAnswer: 480816486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 104 = 19*f. Let s(c) be the first derivative of 3 + 1\/3*c**2 + 0*c - 2\/9*c**f. Factor s(h).\nAnswer: -2*h*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -447?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*b - 395 = -3*f, -4*f + 4*b = -500. Let g = 42 - -2. Calculate the remainder when f is divided by g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169 - -291. List the prime factors of f.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21116)\/89586 + (-4)\/(-14) + (-4626)\/182727?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 5*p + 3*p)*(-7*p + 3*p + 2*p)*((11730 - 11730 - 225*p)*(p**2 + 2*p**2 - 2*p**2) + 0*p**3 - p**3 + 3*p**3).\nAnswer: -892*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142288147217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, -5340, -21422, -53594, -107220?\n\"Answer: -894*t**3 + t**2 + 899*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9285*v + 12278*v - 10576*v - 15744*v)*(-v**2 + 2*v**2 + 0*v**2) as l + q*v**3 + m*v**2 + y*v and give q.\nAnswer: -23327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 146 + -158?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 9. Suppose 0 = 2*z - r*z. Suppose 0 = -4*u + u - 9, z = 5*y + u - 177. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 193 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 545. Let g(z) = -10*z. Calculate g(w(m)).\nAnswer: -30*m + 5450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -676284329 + -4\nAnswer: -676284333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 9*t**2 + 7*t - 4. Let x be d(6). Let r = -40 - x. Let c = 44 - r. Calculate the remainder when 41 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100.4 + -92. Round q to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158 - 87. Let k = y - 69.5. Which is the biggest value? (a) k (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g - 55. Let t be o(-7). What is the greatest common divisor of 30 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 6) in base 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 463*v**2 - 117*v - 569. Is z(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -251428 (base 9) in base 16?\nAnswer: -251ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2 - 20)*(-45*o + 105*o - 22*o) - o + 1 - 1.\nAnswer: -989*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -4. Let p = 2 + z. Let m = -3 - -2. What is the nearest to m in -2\/5, -0.1, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/2590 and -75\/22.\nAnswer: 28490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -269297563002?\nAnswer: -269297563002.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -23313468.\nAnswer: -23313468.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**3 - 2 + 9 - 8 + 2*d**3.\nAnswer: -19*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3\/7, 2\/5.\nAnswer: 2\/5, 3\/7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1, 6, 0, 2.\nAnswer: -15, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -668? (a) -19 (b) 3\/5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/(-15))\/3*(-2)\/8. Let r be -4*2\/(-20)*10. What is the fourth smallest value in -2\/5, r, 0.5, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/120)\/((-109250)\/1840)\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -965, -962, -959, -956, -953, -950?\n\"Answer: 3*z - 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(3\/11))\/(a\/(a\/(a\/((a\/(a*a*(a\/(a*a**(-26\/7)))\/a*a*a*a*a))\/a)))))**17 assuming a is positive.\nAnswer: a**(-11764\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333 divided by -1333?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 88a765b?\nAnswer: 88a7663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aafmbfa. What is prob of sequence ff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**2. Let n(o) = 14*o + 6. Let r(u) = 15*u + 7. Let g(i) = 7*n(i) - 6*r(i). What is t(g(x))?\nAnswer: -256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4468226 is divided by 15957?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 5 - (-2 - 1). What is the highest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, m: 8, b: 6, v: 1}. Give prob of picking 3 o and 1 b.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/51*(0 + -3) + 3. Let l be -2*(-1)\/2*4. What is the second derivative of 15*k**2 - l*k**y + 38*k - 39*k wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = -2*n + z, -4*z = -n + 14. Let q(t) = 4*t - 1. Let p be q(2). Let j = n + p. Solve 5*r + 9 = -i - j, i = 3*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-105)\/14)\/(2\/4). Let a be (-19 - -16)*2\/v. Let c = -0.8 + 0.3. Sort c, a, 2\/3 in ascending order.\nAnswer: c, a, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 12 = 0, -4*n + 14 - 3 = 86*g - 81*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 8*m**2 - 6*m - 7. Let o = 55 + -48. Determine r(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 155280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 5.3, -189.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 - -1 - -2*6\/(-4). Let b(u) = u**2 - 10*u - 4. Let o be b(y). Let i = o - -30. Solve -2 = i*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*u + 129 = 462*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i - 9*i - 8*i. Let o(m) = m**2 + 4*m - 4*m + 0*m. What is o(g(d))?\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(4536) + 2*-3*sqrt(56))\/((-3*sqrt(8) + sqrt(8))*2 - sqrt(88)\/sqrt(11)*-1).\nAnswer: 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60814*g**2 - 708320 with respect to g.\nAnswer: 121628*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 1, v: 2, r: 1, y: 2}. What is prob of picking 1 p and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 0*h + 5*h)*(-2 + 1 - 1)*((-35 + 41 + 14)*(2 + 1 - 4) + 4 + 0 + 2) as s*h + f and give s.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2146, -4173, -6200, -8227, -10254, -12281?\nAnswer: -14308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.475231ml in litres?\nAnswer: 0.003475231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/280 and 131\/41030080?\nAnswer: 41030080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*m)**(-37)\/((m\/(m*m**3))\/m)**47 assuming m is positive.\nAnswer: m**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7331004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3198 - 5360 - 1965 = -619*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 262\/689?\nAnswer: 262\/689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000711566769 rounded to six decimal places?\nAnswer: -0.000712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/105 and -34\/315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(1920\/8))\/(8*(-1)\/(-510)).\nAnswer: -51\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -517, -1908, -4359, -7978, -12873, -19152?\n\"Answer: -18*f**3 - 422*f**2 + f - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -10. Let r = -895 + 817. What is the second smallest value in r, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52, -105, -172, -259, -372, -517, -700?\n\"Answer: -z**3 - z**2 - 43*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -10*z - 18. Let q be p(-18). Let c be (-4)\/(-6)*q\/12. Let h be 4*c\/12*1. Solve h*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 + 5*r + 10. Let k be d(-9). Let h be (-170)\/20*3*(-2)\/3. What is the highest common divisor of k and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 61*g - 810. Determine k(53).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:39 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47459399*n**2*z**3 - 6598*n**2*z + 153*n*z**2 - 2*z**2 wrt z?\nAnswer: -284756394*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288892576 divided by 419902.\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 + -60. Suppose 4*o - 2*x - 58 = 0, 0*o + 4*x = 3*o - f. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.1, 1\/8, 790?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5567 is divided by 733.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/275 and -149\/5004?\nAnswer: 1376100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 882 and -32336.\nAnswer: -28520352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101365 = 21*t + 17*t - 49*t. Is t a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.021 times 0.16\nAnswer: 0.00336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + -54. Let k = -190 - p. Let m = -32 - k. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/10 and (-1132)\/608*-2 + -4?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1432*f - 147*f - 82*f + 1982*f - 3873 - 385*f wrt f.\nAnswer: 2800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) 52 (c) -2\/11 (d) -4\/375\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 15*h - 20. Let g be p(-17). Solve x + 2*x = -4*c + g, 8 = -c + 5*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**6\/180 - y**5\/45 - 4*y**2. Factor i(t).\nAnswer: -2*t**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1838 = -1826. Solve 11*h + 41 = -g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 63\/(-273) + 748\/143. Sort -10, o, -2, 27, 4 in ascending order.\nAnswer: -10, -2, 4, o, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w + 3*w**2 - 364 + 352 - 2*w**2)*(0 + 1 + 11).\nAnswer: 12*w**2 - 96*w - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -3*n**5\/5 + 3*n**4 - 5*n**3 + 3*n**2 + 12. Factor v(f).\nAnswer: -3*f*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 39*a - 26. What are the prime factors of n(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*q + 3*f - 144 = -83*q, -3*q = -5*f + 96. Let r(i) = i + 38. What is r(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85762588 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 23 - 20 + 56 + 1761*b.\nAnswer: 1761*b - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6254252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 - -196. What are the prime factors of (1 - -4)\/(w\/(-495))?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + (-4 - -7) - -28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 71*g + 68*g - 138*g.\nAnswer: g - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2184.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177627.\nAnswer: 3, 59209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004828417 to six decimal places.\nAnswer: 0.004828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193727 is divided by 64482.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21\/2 - -41\/4. Let n = -2.04 - -2. Let h = -0.24 - n. What is the smallest value in j, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28572943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1426, -2793, -4158, -5521, -6882?\n\"Answer: j**2 - 1370*j - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 560577583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -235*j + 15. Let t be ((-42)\/15)\/((-12)\/30). Let i be c(t). Let q = 27 - i. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/19, 0.5, 17, -3\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -292614340.539 less than -130?\nAnswer: 292614210.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.072 times 5\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*-5*2\/24\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171056020574 - -0.1.\nAnswer: -171056020573.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 436 in -2, -0.1, -5, -21, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 740767?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/((-2)\/3))\/6. Which is the biggest value? (a) 11 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3248056 to the power of 1\/2, to the nearest integer?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4, 1, 6, -0.5, -4\/9 in decreasing order.\nAnswer: 6, 7\/4, 1, -4\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 - 5*x**2 + 11*x**2)*(-33 - 287 + 1 - 185).\nAnswer: -6048*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 2670*x + 7983.\nAnswer: 3*(x + 3)*(x + 887)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*a = -300 + 23 - 192 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13) - sqrt(637)) + (sqrt(1300)*3)**2 + ((sqrt(1053) - (-1 + sqrt(1053))) + 2 + sqrt(1053))**2*-5.\nAnswer: -276*sqrt(13) + 6390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 760019029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45523 = 7*i - 45418 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 7056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 612, 547, 442, 285, 64, -233, -618, -1103?\nAnswer: -1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 7:15 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 4:19 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(8))*2 + sqrt(8) - sqrt(8)) + sqrt(8) + ((1*sqrt(88) - sqrt(88)) + sqrt(88) + sqrt(88) - sqrt(88))\/sqrt(11).\nAnswer: 2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 47. Let i(j) = 53*j**3 + 2*j**2 - j. Is i(z) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -21) + (39 - 6 - 17)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t + 3*t)*(-1 + 4 - 4)*(-1 + 2 + 1) + (-3*t - 3*t + 4*t)*(-1 - 2 + 1).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 14*t = 45, 45 = 24*n + 3*t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 96807167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8 + 80*a - 79*a - 8. Let r be u(16). Suppose r = 45*j - 48*j + 12. Calculate the lowest common multiple of j and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/676 and 37\/140.\nAnswer: 23660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 5:15 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyiimiviyiiiii. Give prob of sequence imii.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.023 - 76.023. Let s = h + 76. Which is smaller: -5 or s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 95?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/1 + 4 + 51. Suppose 34 = -42*a + 9862. Calculate the greatest common divisor of a and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 583103*g + 3498630. Determine t(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 4*r - 33 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13307392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 18. Let g be l(-4). Suppose -o = -5*b, 5*o = -2*b - g*b + 29. Let y = o + -1. Let c(x) = -x**3 + 3*x**2 + 3*x + 1. Calculate c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*d = 32, -x - 2*d + 5 + 0 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaayrrrrrarrarrarar. Give prob of picking 1 y, 1 r, and 1 a.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 31*r - 126 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-472 - -450) + (0 - -7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/(-4) + 3)\/(2\/(-60)). Suppose -y*t + 87 = -12*t. Calculate the highest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22700*d**3 + 22685*d**3 + 3*d**2 - 3*d**2.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1964, 3933, 5902?\nAnswer: 7871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 - -15) + (-184)\/2. Let w = -83 - x. Solve -v + w = 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153500264*z**2 - 23276287.\nAnswer: 307000528*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4250 + -4247. Put 5, 4, p, -1, 2\/5 in descending order.\nAnswer: 5, 4, p, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128551 is divided by 42848.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11056*b**4 - 105*b**3*c + b**2*c**3 + 21*b*c**2 + 2*b*c - 2*b + 37*c**3 - 940*c**2 - 3*c wrt b?\nAnswer: 132672*b**2 - 630*b*c + 2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/(-1 + (0 - -2)). Let z = -16 + q. Calculate the remainder when (z\/6)\/(1\/3) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43567 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -45*u + 943. Give w(25).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 187 - 5?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5 + 252897*z**4 - 1011669*z**3 - 2782017*z**2 - 1517454*z = 0 for z.\nAnswer: -84303, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/104944 + -419773\/314832. Let m = -7 + 17. Which is the third biggest value? (a) m (b) -2\/7 (c) -2\/3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**(-45)*(g\/(g*g\/g**(-19)*g))\/g**(-1\/5) assuming g is positive.\nAnswer: g**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1099*b**4*p**2 - 23*b**3*p**2 - 130*p**2 - 2*p - 1926 wrt b.\nAnswer: -4396*b**3*p**2 - 69*b**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*f - 99*f - 113*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - -40) + -55 + -91.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-288)\/99 - 15\/1980\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.6 - -18.5. Which is smaller: -145 or r?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.20962441 + -49.8055.\nAnswer: -49.59587559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 4*n + 3. Let u be t(5). Let s be -3 + 3\/(-177)*350\/u. Suppose 2*v = -1 - 1. Is s less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iviriiiiiiokoy. Give prob of sequence rk.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 17 + (-192780)\/(-23409)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -97196946 divided by -1111\nAnswer: 87486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 13, -19, -55, -95, -139?\n\"Answer: -2*l**2 - 22*l + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33594 divided by -11198.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 11 + (-3)\/((-3)\/1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -597, -599, -611, -639, -689, -767, -879?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 12, f: 5}. What is prob of picking 1 b and 3 m?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -4 (c) 415 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + 46055?\nAnswer: 46042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 489910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157995 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5986052 divided by 1496513?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2123, 4232, 6317, 8366, 10367, 12308?\nAnswer: 14177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192750 divided by -6.\nAnswer: -32125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13603 at most as big as -95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21061795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1873*k**2 - 1874*k**2 - 3 + 3800*k**2 + 2.\nAnswer: 53*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -196*b**2. Let n(o) = 45 + 61 + o - 163 + 57. What is g(n(l))?\nAnswer: -196*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 99449033107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018043 is divided by 374.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = 4*z. Let a be z\/6 + (-55)\/(-15). Suppose 3*q + 194 + 59 = w, 3*q = -a. What is w rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o - 130 = 0. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 506 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)*k**(1\/2)*k*(k**(2\/7))**39*((k*k**0\/k)\/k*k)**3*k**(-1\/2)*k*k*k**(3\/2) assuming k is positive.\nAnswer: k**(163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50727139 or -202908559\/4?\nAnswer: -202908559\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + q**2 - 2*q + 1. Let j be d(1). Let c(h) = 5*h - 12. Let g be c(3). Suppose -g*s - j*s = -65. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-16)*-4 - 0. Calculate the greatest common factor of v and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 2*v + 0*v)*(0*v - 3*v + v)*(1 - v - 1) as q*v**3 + o*v + h + c*v**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 10*w + 300 = -50*w. Let l = -3 - 1. Let t(q) = 3*q - 4*q - 2*q**3 + 2 - 3 - q**3. Let v(h) = 2*h**3 + h + 1. Give l*t(j) + w*v(j).\nAnswer: 2*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(108) + sqrt(108)*1 - sqrt(27)) + (1*sqrt(270))\/sqrt(10)))\/((3*sqrt(324) - sqrt(324) - sqrt(324)) + (sqrt(9) - -4*(sqrt(81) + sqrt(9)))).\nAnswer: -8*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 136? (a) -59 (b) -4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.64 times 0.1\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*b = -3*t + 6, -t - 6 = -3*b. Let y = -3 + t. Suppose 0 = -j - 2*w - 72 + 80, 0 = j - 4*w - 14. Sort 2, j, y in ascending order.\nAnswer: 2, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2))\/h)\/h*h\/(h\/((h**(-5)*h)\/h))*h*h**(-8)\/(h\/(((h**3\/h*h)\/h)\/h*h))*(h**2)**(-11\/4)*(h**1*h*h)\/(h*h*h\/(h**(-3)\/h)*h*h) assuming h is positive.\nAnswer: h**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r + 32. What is the units digit of w(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*((-1*sqrt(425)*4)**2 + 3) + 2.\nAnswer: -27210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 6*z + z)*(3*z - 5*z + z)*(-3*z**3 + 6*z**3 - 2*z**3) + z**3 + 2*z**5 + 0*z**5 - z**5.\nAnswer: 3*z**5 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1 = -36. Suppose 4*u - 2*c - 27 = -7*c, -5*u + 6 = -3*c. Suppose i*y = u*y - 16. Let q(l) = l**3 + 5*l**2 + 3*l - 1. Give q(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3222\/(-729)*(1 - (-21)\/(-30)). Let u = -1\/135 + g. Let f be (-4)\/(-6)*8\/(-12). Sort f, 4\/5, u, -2\/3 in descending order.\nAnswer: 4\/5, f, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -367, -732, -1097, -1462, -1827?\n\"Answer: -365*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s - 4*o - 28, -5*o = 5*s + 65. Let z be -1 - (-6 + (0 - s)). Let a(m) = m - 4. Determine a(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - o + 1 + (3*o - 4*o + 3*o)*(2 + 0 + 0) + 123 + 18*o - 123 + (-o + 3*o - o)*(-3 - 1 + 6) + o + 6*o - 4*o.\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-27)*z)\/(((z\/(z*z**(6\/13)*z))\/z)\/z*z) assuming z is positive.\nAnswer: z**(-306\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 10*b - 12. Suppose -5*u + 2*j + 2*j + 57 = 0, -33 = -3*u + 2*j. Let i be d(u). Do -2 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 425 = -4*n - 4*m, -m = 3*n - 317. Calculate the greatest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/51914 and 31\/2424?\nAnswer: 622968","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**2*i**4 + 4*d**2*i + 8*d**2 + 26*d - 13*i wrt i.\nAnswer: 8*d**2*i**3 + 4*d**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 27 - 50*b**2 + 27 to the form z*b**2 + n + o*b and give z.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*i, 0 = -2*b + 7*b - 2*i - 6. Find the second derivative of 195*n + 5*n**b + 111*n**3 - 82*n - 5*n**2 wrt n.\nAnswer: 666*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16247616 and 6?\nAnswer: 16247616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.432799681 and -21.3.\nAnswer: -21.732799681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6910 is divided by 94.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:02 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-288))\/(15\/24)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 4, o: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101110111110 + 10?\nAnswer: -1011101110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 4*p**2 + 0*p**2)*(p - 3*p + 0*p) + (-22*p - 122*p + 9*p)*(0*p**2 - 4*p**2 + 2*p**2).\nAnswer: 268*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 27*y**2 - 8*y - 8. Let j(g) = -18*g**2 + 5*g + 5. Determine 8*j(m) + 5*l(m).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 13. Give f(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -12, -2\/7, 8, -2\/5, 9\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/6 + v**3\/3 - v**2 + 7*v + 145. Let z(g) = -1. What is -y(x) + 5*z(x)?\nAnswer: -2*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 198220275233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 3:34 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a1 (base 11) to base 16.\nAnswer: 7ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186414021 a multiple of 1335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1086, 2174, 3262, 4350?\nAnswer: 5438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -118*x - 5. Let r(d) = -2. What is f(b) - 2*r(b)?\nAnswer: -118*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -488 - 13.565602503\nAnswer: -501.565602503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 344 + 60. Let r = s + -400. Solve -6 = r*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-3 - (1 - 3)). Suppose y = z*n + 2*n - 18, -4*y - 4*n = -24. Solve -4*q + 2*q + y = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83645 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/27 in 0, -3, -4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 226.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7389 - -26741. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - -7 - (49 + -35)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -2284\nAnswer: -4568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.03 (b) 1 (c) 2 (d) -6\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1189 and 1968?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 77 = -121. What is the units digit of (r\/8)\/(75\/5200)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22421\/18189 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 453 - 445 + 1882 - 239297*r**2 + 239300*r**2 to the form y*r**2 + u*r + l and give l.\nAnswer: 1890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*q + 3698 - 88, q - 4*y - 1811 = 0. Let a = q + -1792. Factor 2\/11*h**a - 2\/11*h**4 + 0 + 0*h**2 + 0*h.\nAnswer: -2*h**3*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15489.42906 to zero dps.\nAnswer: 15489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 + 5*x - 11. Let s(t) = t**2 - 3*t + 6. What is -3*d(l) - 5*s(l)?\nAnswer: 4*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -33.6.\nAnswer: -369.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 0) + 48074\/(-12). Let m = n - -4021. Calculate the common denominator of (2 - 111\/54)\/((-4)\/714) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, z: 1, i: 2, w: 1}. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.706 + -0.294. What is the biggest value in 1, i, 7, -2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1900) + (sqrt(1900) + -2*sqrt(1900) + sqrt(1900))**2 + -3.\nAnswer: -8 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {b: 1, l: 7, g: 4, p: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)*1 - sqrt(165))\/sqrt(11) - (sqrt(960) + sqrt(960)*-2))\/(sqrt(30)\/(sqrt(250)*-3)).\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 3. Let h be a(-7). Let u be (5 - -1995)*46\/h. What is u rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*q. Suppose -3*h + q*h = 6. Let t be ((-126)\/(-56))\/(h\/(-24)). Solve 4*c - 2*n - 4 = 18, t = 5*c - 2*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**4 + 294*x**3 - 6591*x**2 - 29988*x - 31212 = 0.\nAnswer: -2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-22)*12)\/((-5)\/((-110)\/33))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1076336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/20 + (-77)\/(-55). Solve 6*r = r + c*h, 2*r + 4*h = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 11 = -5*n, 3*n + 4*t + 7 = -8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/5 - 1 - 2. Let z = 2707\/6 + -2699\/6. What is the nearest to c in z, 0.2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 + 19*n**4 - 346*n**3 + 304*n**2 + 344*n - 323 = 0 for n.\nAnswer: -19, -1, 1, 17\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 1:39 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 2*z**2 + 12*z**2.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -v - 23, 29 = v - 4*v - 5*j. Let r = 95 - 56. Let u = v + r. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -115. Let j = x - 62. Which is the third biggest value? (a) 2 (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 6*v**2 + 6*v + 7. Let o be k(7). Let h = -19 + 24. Solve 20 = -2*u + 3*c - 7*c, -h*u - 4*c - 26 = o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 0*q**2 - 5*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 359*m + 2*m**4 + 3*m**2 + 0*m**2 + 358*m to s*m**2 + x*m**3 + d*m + y + f*m**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 49 = -0*v. Suppose 3*g - 44 = 241. Let q = g - v. What is the remainder when q is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-82)\/(-4) - (-7)\/(-14). Calculate the highest common divisor of 100 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x**2 - 61*x + 61*x - 2*x**2.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/89 - 75\/1246. Which is the third smallest value? (a) -5\/4 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(-5 + (-2*sqrt(343))**2 + sqrt(343) + -2) + -3).\nAnswer: -20484 - 105*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 10*j + 9. Let y be l(9). Suppose -f + 10 = -0*m - 2*m, -3*f - 2*m + 30 = y. Suppose c - 4*p = 2, 4*c + 5*p - 4 - 46 = 0. Is f greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 12:48 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7*p = 4*p - 5, 5*x + 5*p - 5 = 0. Let k be x\/24 - 382\/(-12). Let u = -16 + k. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777.3721 centuries in millennia?\nAnswer: 77.73721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = k + 4*l, -2*l + 2 + 4 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1331)*-4 + (sqrt(1331) - (sqrt(1331) + 2 + (sqrt(1331) - (1 + sqrt(1331))) + sqrt(1331))))*-2)**2.\nAnswer: -616*sqrt(11) + 260880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10)*2)\/((-500)\/40)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1b + 5a2?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**3 + h**3 + 5*h**3)*(-67 - 10*h + 67) + (0*h + 0*h + h)*(-3*h**3 + h**3 + 3*h**3) + h**4 + 2*h**4 - 2*h**4.\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*q - 259, -15*q + 16*q - 497 = 4*y. What is the third biggest value in y, -1, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -15835*f + 20. Let u = 47 + -165. Let l = u - -130. Let t be g(l). Round t to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t**2 - t + 58. What is the lowest common multiple of h(0) and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + -1)*(-9)\/(-12). Let r be (q\/5)\/(4\/(-20)). What is the second derivative of -2 + 2 - 3*v**2 + 0 + r*v wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, z: 1, g: 6, m: 3}. What is prob of sequence ztm?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = r + 42, g + 4 + 3 = -0*g + 760*r - 761*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q = -3. Let p be (-1 - (q - 0))\/(-2). Calculate the remainder when (164\/(-4))\/(p + -1) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9775729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in -1\/8, 0, 369, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/6 and -95\/1628?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3713*n**4 + 10*n**3 + 79*n**2 + 154034*n + 177 wrt n?\nAnswer: 44556*n**2 + 60*n + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/sqrt(5))\/sqrt(2) + sqrt(27))\/(sqrt(36)\/(sqrt(4)*2)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399898221?\nAnswer: 3, 103, 1294169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4*v - 4, 8 = 2*i - 2*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1501*f = -577*f + 1476*f + 16800 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-3\/11)*r*(r**30*r)\/r*(r\/(r*r**(-1\/50)\/r*r*r)*r)**(11\/7))**(-33) assuming r is positive.\nAnswer: r**(-384663\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.71 times -0.0255?\nAnswer: -0.120105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -37936\/17 < -2231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 61.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1777830646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from homrv. What is prob of picking 1 h and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.131 - 0.234. Round o to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/9))**(-6\/5)\/((a**(-10)*a*a)\/a**(4\/7)) assuming a is positive.\nAnswer: a**(746\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42746014851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*g - 306*g + 158*g.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (930\/1550)\/((-22)\/(-10)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-23)*y**(-1\/6))\/(y**(2\/11)\/y)**13)**(-2\/7) assuming y is positive.\nAnswer: y**(761\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1879660747434.9806277 + 1879661029079. Let x = 281644 - k. Let z = 0.0194 + x. Round z to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 35. Sort -1, 1\/6, -0.2, o in descending order.\nAnswer: 1\/6, o, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30440.952us to hours.\nAnswer: 0.00000845582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.077 in 0.03, 4, -4\/493, -0.3?\nAnswer: -4\/493","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151482 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffc when three letters picked without replacement from {f: 2, i: 11, l: 4, c: 2}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7624, -7628, -7632, -7636?\nAnswer: -7640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 21*w**2 + 23*w + 31. Let z be y(-22). Solve 0 = -14*u + z*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3163088?\nAnswer: 2, 17, 29, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**4 + 36972*o**2 + 51747*o?\nAnswer: -24*o**2 + 73944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3737472000 rounded to the nearest 1000000?\nAnswer: 3737000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - w = -2 - 1, 1 = -3*j - 2*w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010101 + 0?\nAnswer: 1000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73111 - 2?\nAnswer: 73107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1231153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/272 and 2\/(-12)*2044\/112.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/161398575 and 82\/33.\nAnswer: 1775384325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijij when four letters picked without replacement from jjijjijjjjjiijiiijj.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5406)\/(-3604))\/((-193)\/(-98) - 2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.085 times 70.2\nAnswer: 5.967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11979 - -2336812860.\nAnswer: 2336800881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = 5*l - 13*s - 783, 4*s - 464 = -3*l. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094 - 4?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2. Let p(r) be the third derivative of -r**5\/3 - 21*r**2. Give -44*g(t) - 2*p(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Suppose -k - 3*k + 3*v = -345, 350 = 4*k - f*v. Suppose -k - 23 = -m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2\/9, 4, 3 in decreasing order.\nAnswer: 4, 3, 2\/9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-90)*(-156)\/(-10)*-1.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103531 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 699 + -703. Which is the second smallest value? (a) 3 (b) i (c) -14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 935\/561*27\/(-5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/120 and 59\/9.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 72)\/(-1 + -1). Suppose 0 = 4*r - 3*t - h, -7 = -2*r + 2*t + 13. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19661*a**2 + 19661*a**2 - 296*a**3.\nAnswer: -296*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 69*a**2 - 72*a + 61. Determine u(1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -187*p**5\/20 + p**4\/12 - 92*p**3\/3 - 1124*p**2. Find the second derivative of m(f) wrt f.\nAnswer: -1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 76*x - 13902. Give c(183).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383cc4 (base 13) in base 9?\nAnswer: -12555504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-336)\/15 + (-8)\/20*-1. Let o = -37 - -6. Let h = m - o. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = r + 162. Let l = -212 - r. Calculate the lowest common multiple of 27 and l.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914*j - 16457 = 7307 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.7*-14.3\nAnswer: 24.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -13.86. Let g = 2.14 - y. What is the third smallest value in 0, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*s**2 - 6051*g**3 - 23*g**2*s**2 - 21*s**2 wrt g.\nAnswer: -12*s**2 - 36306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 32. What is the tens digit of j(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o = 116 - 38. Solve 2*b - 5*b - 4*g + o = 0, b - 1 = 5*g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6105 and 83057415?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - -21. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 5*k - 1. Suppose 0 = 35*z + 1329 - 1189. Calculate u(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161 greater than or equal to 1119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 23*b**2 + 3*b - 34. Let u be s(23). Calculate the greatest common divisor of u and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37730458 is divided by 121?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(6) - (4*sqrt(6) - sqrt(6)))\/sqrt(2))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a week?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -17, 1\/8, 2\/17, 33, 37?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*j - 3*j - 2*p, 24 = 4*j + 4*p. Suppose 3*q = j*q. Which is the smallest value? (a) -3 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*j - 2580, -3*j - 2*t - 1552 = -0*t. Let d = j - -319. Let q = -87 - d. Does 32 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 7317?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/34093 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 635*n**3 + 20475*n**2 - 19845*n.\nAnswer: 5*n*(n - 63)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-1)\/u*u*u**(-1))**42 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2000*w**2 + 1085800*w + 147370205 = 0 for w.\nAnswer: -5429\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 0*z**3 + 2*z**3 - 3*z**3 as j*z**3 + s*z**2 + k*z + p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (4 - (4 + 3))) + (5 - 20)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -n + 4*p, 2*n - 90 = 4*n - 5*p. Let w = -34 - n. Solve 2*u - 4 = w*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**2 + 7*i - 54. Let v(c) = 3*c**2 - 3*c + 27. Let s(g) = -9*v(g) - 4*w(g). Let q = -138 - -165. Suppose -q*t = -21*t. Give s(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 59, -5, 11805, -2.\nAnswer: -18, -5, -2, 59, 11805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2124 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*y + 7*y - 9*y)*(0 - 3 + 1)*(-2 - 1 + 1) in the form u + l*y and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -12.3. Let n = s + -5. What is n rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -1 + 5 - -3. Solve 5*n - 16 = -v, -u = -5*v - 30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 5*l = -5*g + 184, -4*g = 4*l + 356. Let v be 525\/g + (14 - 9). Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -16*n - 52. Let y be k(-3). Let z(i) = 3*i + 6. Determine z(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 29. Let m be s(7). Suppose 339 = -m*t + 2781. List the prime factors of t.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, e: 2, h: 1}. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 1741*b - 40568. What is j(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - u**2 - u + 1. Let c(f) = 15*f**3 - 9*f**2 - 18*f + 12. Let s(n) = c(n) - 12*o(n). Solve s(x) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3731 - 0.1269. Which is the nearest to -16\/7? (a) y (b) 0.4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -969, -1734, -2511, -3306, -4125?\nAnswer: -4974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 426 divided by -142\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/3 + 8*z**2 - 40*z - 1600\/3 = 0. Calculate z.\nAnswer: -10, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5842563570 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -11*n + 204. Suppose 26*j - 81 = n*j. Solve -3*u + 9 = 3*l, 5*u - 3*l = 3*u - j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6224 is divided by 2935.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17143 and 306187?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1877115*j**3 - j**2 - j + 7342681 wrt j.\nAnswer: -5631345*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2722837?\nAnswer: 13, 209449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**5 + 3591*a**4 - 17784*a**3 - 114324*a**2 - 128736*a = 0.\nAnswer: -2, 0, 9, 1192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at least as big as 5.3127826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (38 + 0 - -4) + -16\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w - 5*f + 40 = 0, 5*w + 4*f - 35 = 0. Let q be w*((-5)\/(-30))\/(2\/8). Solve -8*m + 10 = q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4562 + 4564. What is the smallest common multiple of k and 7584?\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -50706?\nAnswer: 1014.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6578 (base 10) to base 15.\nAnswer: -1e38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6127298 grams in nanograms?\nAnswer: 612729800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1211222102 (base 3) to base 2\nAnswer: 1000111001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13088, -4, 5, 0.143 in decreasing order.\nAnswer: 13088, 5, 0.143, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxtpppnnuxtnxp. Give prob of picking 3 x.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259 + -254.032. Let b = 0.032 + s. Let i = 6.9 - 7.3. Put b, -0.5, -3\/7, i in ascending order.\nAnswer: -0.5, -3\/7, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.161?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(444*i**3 + 35741*i**2 - 35741*i**2) to the form k*i**3 + y + r*i**2 + t*i and give k.\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 91. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 2 + -1 + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116509?\nAnswer: 263, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to 4.1174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + 2. Suppose 14 = 5*o - u. Solve -5*k - 3 - o = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 2*i**2 - 3*i + 2. Let h be n(2). Suppose -l = -g + 10, -5*g + h*l + 58 = l. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/14*(7729\/3759 - 2). Let v = c + 3\/358. Is 1 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllollo. What is prob of sequence ll?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - 20 - 11*g + 7*g)*(0*g**3 + 3*g**3 + g**3) in the form x*g**3 + j*g + h + y*g**4 + a*g**2 and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + c + 2. Let k be q(0). Suppose -5*f - 4*b = b - 10, -2*b + k = f. What is the third derivative of -3*m**4 + 14*m**f + 729 - 729 wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (65\/(-2))\/((8405\/(-6724))\/(10\/4))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 0*h + 2\/51*h**3 + 1\/17*h**2 + 15. Factor j(q).\nAnswer: 2*q*(q + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01785323093 rounded to 4 decimal places?\nAnswer: -0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-15))\/((-8)\/60)*-4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 22*b + 1787. Let z be x(-81). Solve z*c = 2*d - 10, -c = -5*c + d - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(4 + 5*(0 + -3 + ((sqrt(931) + 4)*-2 - sqrt(931)))))**2.\nAnswer: 94500*sqrt(19) + 1907775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 - 1082504*k\/9 + 146476863752\/9.\nAnswer: 2*(k - 270626)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 5 = 5. Suppose 0 = 4*m - 3*s + 3, -5*m - 2*s + z = -2. Which is bigger: -4\/11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 3 - 1 - 6)*(-32*j - 7*j - 3*j).\nAnswer: -42*j**3 + 168*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocooocorcocr. What is prob of picking 2 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {l: 5, p: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(720)*-2*2)*1.\nAnswer: -48*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -3 + -2*(-5 - -7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72599*s + 72611*s - 130244 - 74932. Calculate the highest common factor of s and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7890, 8377, 9188, 10323?\n\"Answer: 162*l**2 + l + 7727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -10. Let d be (2 - u) + (-222393)\/(-4682). Let q = -1\/2341 - d. What is the common denominator of q and -45\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmvsvlwvssssm. Give prob of sequence vsms.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1022085965 + -0.10221. Round h to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/18 and -97\/232.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 65 - 22 + 104 - 90*m + 43*m - 85*m.\nAnswer: m**2 - 132*m + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10449138 to the nearest integer?\nAnswer: 3233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 5*a**2 + 269*a**3 + 277*a**3 + 5*a**2 - 547*a**3.\nAnswer: -a**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*l = -35, -4*q - 9 = 5*l - 10. Solve -5*u + 3*f = -2, 4*u = f - 1 + q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -18*u - 17*u + 406. Solve 0 = 5*q - b - u, 6 = -3*q - 2*b + 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 9*r - 7 + 3\/2*r**2. Determine z(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 2. Let o = 3402 - 3407. Calculate l(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**41\/r**(-2))**(-18\/5) assuming r is positive.\nAnswer: r**(-774\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 3*x**2 + 2*x - 3. Give n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 869 and 781.\nAnswer: 61699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(49)\/(sqrt(14)\/sqrt(2) + sqrt(7)) - (sqrt(847) + -1)**2).\nAnswer: -45*sqrt(7)\/2 + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 51*z**3 - 126*z**2 - 204*z + 456.\nAnswer: 3*(z - 2)**2*(z + 2)*(z + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -9 - 16. Is (-55)\/(-22)*128\/t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-60) - (1\/(-3))\/(-1). Suppose -20*k + 19*k + 115 = w. What are the prime factors of k?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 111.2 and -0.23174.\nAnswer: 110.96826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-28)*28\/6. Let k be (3 - 2\/b)*2. Let x be (-10)\/(-25) - 52\/(-20). Solve k*v - 18 + x = 0, -3*f = -5*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/40*(-34)\/(-51). Let a(k) be the second derivative of k + 0 + 1\/60*k**4 - 2\/15*k**3 + u*k**2. Factor a(t).\nAnswer: (t - 3)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(245) + -1*sqrt(245) + sqrt(245))**2.\nAnswer: -14*sqrt(5) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 23*w + 16. Let k be q(12). Solve 2*g + 3*r = -k, 2*r = 4*g + 3*r + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 5*f**6\/2 + 81*f**5\/2 + 429*f**4\/4 + 110*f**3 + 54*f**2 + 8*f + 198. Suppose a(o) = 0. What is o?\nAnswer: -9, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 40. Let n(r) = r**2 - 10*r - 7. Let v be n(g). Suppose -v*i = -2*i + 5*i. Solve -3*u - 2*l - 15 = i, -l + 3*l + 20 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 540\/(-42) + 11 - 2\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/5 + (-2)\/10. Let v(u) = u**2 - 9*u + 2. Let t(o) = -6 + 2 + 4 + o. Let q(g) = n*v(g) + 6*t(g). Factor q(l).\nAnswer: (l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 67 - 275 = -4*o, 3*o - 2*l = 136. Suppose -5*g + g - o = 0. Let d = 16 + g. Solve -d*w + x = 11, 2*w + 19 = -5*x - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Factor 2*t + 0*t - 21*t**f + 20*t**2.\nAnswer: -t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16589 (base 12) to base 6\nAnswer: -403453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111621547241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/9*(594\/(-45))\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.5 (b) 3\/2 (c) 0.14 (d) 6039\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2 - 208\/(-56)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + d + 749, 0*x - 4*x - 5*d + 967 = 0. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5012 + -5007. Let c(r) = -r**3 + 6*r**2 - 2*r - 8. What is c(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -2) + (-50)\/(-5). Let u be d + -6 + (6 - 2). Let o(v) = v**3 - 3*v**2 - 3*v - 2. Let f be o(4). Solve 4*j - u = f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -16\/29, 0.92, 5, -5\/3, -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -7*h**2 + 0*h**3 + 0 - 1\/12*h**4 + 0*h. Let y(j) = 2 - 60*j + 72*j - 2. Give y(w(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -4.715 (c) -0.5 (d) -0.3 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2847?\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53\/60 + 13\/15. Let h = k - 5\/4. Let l be (-1)\/(2 + -1 + -2). Is l less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 24*w**3 - 20. Let y(u) = -u**3 + 1. Let m(q) = 252*q + 1300. Let h be m(-5). What is h*y(v) + 2*g(v)?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79390920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -5, 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 2 in descending order.\nAnswer: 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1377 and 81243?\nAnswer: 81243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944 a factor of 129876321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 97245?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -50*k - 245. What are the prime factors of g(-10)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) - (sqrt(242) - (sqrt(242) + 3))*-4) + sqrt(242) - sqrt(242) - -1*(sqrt(242) + 1 + sqrt(242))) + -4 + (2 + sqrt(242) + 0)*1)**2.\nAnswer: -1144*sqrt(2) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 0 + 2 - (-54)\/(-18). Is z > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-108)\/16*2*-2. Suppose -4*w - q = -87. Let s = w + -8. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/3552*-24*(-40)\/14?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*-4*1)\/(-5*-1*sqrt(7) - (sqrt(252) - -2*sqrt(252))).\nAnswer: -4*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1194*j**2*x**4 - j**2*x**3 + 13*j**2*x**2 - 2*j*x**2 + 29*j*x wrt x.\nAnswer: 28656*j**2*x - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 p when three letters picked without replacement from wnpnnnlwnponpw?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**2 - 8*r**2 + 10*r**2 - 54*r**2 + 5*r to j*r + x*r**2 + d and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**7\/c*c))\/(c**(-5)*c)*(c**1\/c)**(6\/5) assuming c is positive.\nAnswer: c**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 3 + 12\/5. Let d = 0.03 + 0.27. Let v = -9588 + 67115\/7. Which is the closest to 0.1? (a) w (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 - 2*s - 1. Let p(r) = 21*r**2 + 12*r + 6. Let z(q) = -6*c(q) - p(q). Let f(y) = 19*y**2. What is z(f(t))?\nAnswer: -1083*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:09 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1794709, 3589414, 5384119, 7178824, 8973529?\nAnswer: 10768234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -31 + -1 - (-2 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.55 - -28. Let n = -4.85 + f. What is n rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 38 = -2*t. Suppose -2*m + 66 = -0*m. What is the smallest common multiple of t and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 113.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3\/7, -2\/9, -2, 0.8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 9*d**2 + 5*d + 11. What is the units digit of y(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, -3, -4 in ascending order.\nAnswer: -15, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 246792910 divided by -63070?\nAnswer: -3913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5 - 240*m**4 - 238*m**3.\nAnswer: -2*m**3*(m + 1)*(m + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 33. Let w = 1\/104 + -419\/312. Which is the third biggest value? (a) w (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -1637*f**3\/3 + 3*f**2 + 190*f + 2141. What is the second derivative of z(q) wrt q?\nAnswer: -3274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-79)\/(-2))\/(1\/46) 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 -0.3, 1.94, -5, -0.2, 1\/4, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283360?\nAnswer: 2, 5, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41c (base 14) to base 6.\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.85 - -0.15. Let x = -14.4 + 14. Which is the second smallest value? (a) h (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -2*b**6\/3 - 80*b**5 + 101*b**4 - 1914. Factor i(v).\nAnswer: -4*v**3*(v - 1)*(v + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -46, -29, 28, 137, 310, 559?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81667 + 19941 = 26*t. List the prime factors of t.\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -273*v - 606. List the prime factors of g(-10).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283066467 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 - 3*c**2 + 13*c + 8. Is r(6) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1*51.2\nAnswer: -107.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**7))\/(n\/(n*n**(-14))))\/(n**(-14)\/n**12) assuming n is positive.\nAnswer: n**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 339*o + 11. Let g(q) = -123*q - 4. Let l(j) = -11*g(j) - 4*i(j). Let c(x) = -5*x + 6. Give c(l(r)).\nAnswer: 15*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/15)\/(22\/11)*21\/(-5)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1310, 5364, 11930, 20852, 31974, 45140, 60194?\nAnswer: 76980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 6*h + 9*h - 3*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -11*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543606 is divided by 396.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 9:27 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/11 + 5170*m - 170412 = 0. Calculate m.\nAnswer: 33, 28402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*h - 5*h = 2, -20 = -4*r + 4*h. What is the greatest common factor of r and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8614131919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 191.72 - -2.28. Let t = r - 193.264. Let v = t + 0.024. What is v rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 0.15\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3\/7 + 134*f**2\/7 - 2939*f\/7 - 3074\/7 = 0.\nAnswer: -1, 29, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21387665.\nAnswer: 5, 13, 37, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i - 7 = 11*i + 11*i + n, 2*n + 97 = -4*i + 107 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36487.72 rounded to the nearest 100?\nAnswer: -36500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x + 4*x - 2*x. Let n(r) = 399*r**2 - 594*r - 33. Let z(v) = 25*v**2 - 36*v - 2. Let o(q) = -2*n(q) + 33*z(q). Calculate o(i(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.8 (b) 2 (c) 1\/5 (d) 112 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130)*-1 - sqrt(130))*5 + sqrt(130) + -3*sqrt(130)*-1 + sqrt(130))\/(3*(sqrt(70)*-1 - sqrt(70))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**4\/24 + 23*l**3\/3 - l**2. Suppose 0 = 10*g - 25*g + 240. Calculate the remainder when d(0) is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.31 + 0.31. Which is the biggest value? (a) -9 (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245 by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(475) + 0 + -1 + (-5 + sqrt(475) + 0)*6*-6)**2.\nAnswer: -63350*sqrt(19) + 614636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.1, 0.4, -326, 3 in decreasing order.\nAnswer: 3, 0.4, 0.2, -0.1, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.634t in kilograms?\nAnswer: 47634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + 5 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(4 - (-74)\/(-18)). Solve 3*u + 2 = -4*c, -o*c = -5*u - 4*c - 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = -5. Suppose 2*c - o + 6 = 0. Solve l = -s - 2, 5*l + 0*l = c*s - 30 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5*w - 13, 0 = y + 3*w + 9. Let u be (7\/(-28))\/(y - 1126\/(-384)). Factor 2*h + u*h**2 + 4\/13 + 18\/13*h**3.\nAnswer: 2*(h + 2)*(3*h + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b - 2. Let k be 10\/(-8)*(-46 + 50). Let l(q) = 5*q - 3. What is k*l(h) + 6*p(h)?\nAnswer: 5*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 3*k + 3*k)*(3 - 1 - 4) + (2 - 4 + 0)*(-1 + 2 + 1)*(-26 + 26 + 7*k) to v*k + i and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 10:58 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12*s - 9*s + 6368158 = 0, 5*s = 2*b - 2547229. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 5*o + 2. Let w be m(-5). What is the third derivative of -6*y**2 - y**3 + 7*y**2 + 4*y**w wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 6:07 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + (-146 - -39) - -38?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -17. Let t = 38 - -23. Let n = t - 67. What is the third biggest value in n, -1\/2, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176*k + 2324 - 2324)*(-3*k + 3 - 3)*((-1 + 2*k + 1)*(1 + 1 - 3) - 2*k + 5*k - 2*k + 0*k + 0*k + 2*k).\nAnswer: 528*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -15*o**3 - o**2\/2 - 199*o - 15. What is the derivative of j(z) wrt z?\nAnswer: -90*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + ((21 - 3) + -27 - -1).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10 + 7 + 22 - 10 - 12*h - 7. Let z(y) = 13*y - 3. Calculate 3*k(r) + 2*z(r).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (352\/(-6) + (4624\/(-102) - -46))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -5, -186 in decreasing order.\nAnswer: 3, 1, -5, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 = 2*p - 62*s + 60, 8*p + s = 3*p - 111 + 101 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026017606 to six dps.\nAnswer: -0.002602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -94 + 10. What is the remainder when k is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8089 + 8201. What is the remainder when 140 is divided by g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/18*-15*2\/5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a. Let g(p) = 202700*p**2 - 407305*p**2 + 192268*p**2. Determine t(g(s)).\nAnswer: -24674*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1195 (base 11) to base 8.\nAnswer: -3024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -43*l**7\/210 + l**4\/24 + l**3 + 38*l**2 - l. What is the second derivative of f(u) wrt u?\nAnswer: -516*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 2*r**4 - 4*r**4 + (r - 4*r + r)*(0*r**3 + 0*r**3 - r**3) + (11078 - 11078 - 101*r)*(-5*r**3 + r**3 - 2*r**3).\nAnswer: 605*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -886, -3546, -7978, -14182?\n\"Answer: -886*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 - (-305)\/45. Suppose -y - 5 = -b + a, b = -3*y + 24. Suppose 0 = -2*g + b + 7. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**5\/20 - f**4\/4 - f**3\/3 - f**2 + f. Let k be s(4). Let y = -16\/3 + k. Are 3 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*h + 2*a, 0 = -4*a + 2 - 6. Let c(i) = -33*i + 35. List the prime factors of c(h).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 6:42 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -135 + 76. Let b = 137 - n. Suppose 4*l + b = 4*h - 64, l + 3*h = -61. Which is smaller: -63 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 3*j - 3 + 0*j. Let a be y(-3). Let i(x) = -6668*x + 4. Let v be i(a). Round v to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, a: 9}. What is prob of picking 2 a and 2 s?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let m be (-12)\/(-5) + 1*(-10)\/25. Let v(p) = -101*p - 4*p**m - 100*p + 201*p. Calculate a(v(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxdr when four letters picked without replacement from vxvrridq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26587.\nAnswer: 11, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -217057 or 2\/1623?\nAnswer: 2\/1623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 682 and 3031366?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2217 - 8350 = 1299*a + 12053 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -1 (b) -7\/5 (c) -0.3 (d) -3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r - 11. Let t(q) = -q. Let x(b) = -s(b) + 5*t(b). Let u(n) = -n - 5. Let j(z) = -9*u(z) - 4*x(z). What is the units digit of j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/13 + 5570\/130. Suppose 4*r - 1 = u. Suppose 3*h + r + 4 = 0. Is h smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 26. Let h be d*(1 + -1) - 2500*3008. What is h rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1735*i + 3682. Is s(-73) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 4*w**2 - 6*w - 5. Suppose -16*f - 2*f = 72. What is n(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3844 - -3842. What is the nearest to -10 in -7, -4\/7, d, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*l + 3 - 18*l + 3*l**2 - 3 in the form a + n*l**2 + q*l and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6795 is divided by 2254?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9438208 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 6. Let m be n(2). List the prime factors of (2 + (-375)\/m)\/((-10)\/(-80)).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -24. Let y = -31.117 + 5.087. Let q = r - y. Round q to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 1. Let l(z) = -4*z + 3. Let u(i) = -2*l(i) + 7*q(i). Let h(p) = 2*p + 3. Give -2*h(g) + 5*u(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, r: 2, j: 4, k: 4, p: 3}. Give prob of sequence pprr.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -5*k**3\/9 - 31*k**2\/2 - 136*k\/3 - 1984. Find q, given that w(q) = 0.\nAnswer: -17, -8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1479921*b = 1479524*b + 25011 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiniiicninci. Give prob of picking 3 i and 1 n.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3\/((((b\/b**(-3\/11))\/b)\/b*b*b)\/b)*(b\/b**(1\/3))**46 assuming b is positive.\nAnswer: b**(1102\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbyaaaaa. What is prob of picking 2 a and 1 y?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, -156, -22, -0.12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, p: 1, g: 3, o: 2, r: 5, k: 1}. Give prob of sequence gokr.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127356 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 (base 7) in base 8?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*m - 2099 = -1059. Solve s = v + 7, -m*s + 12*s - 2 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148949?\nAnswer: 148949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25181, -25064, -24955, -24860, -24785, -24736?\n\"Answer: -m**3 + 2*m**2 + 118*m - 25300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 2*a + 4*a)*(2 - 19 + 3 + 9)*(-4*a - 7*a + 3*a) in the form q + x*a**2 + o*a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6236, -0.1, 3, -5 in increasing order.\nAnswer: -5, -0.1, 3, 6236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.78 - -1.02. Let x = w - 13. Let m = 11 - x. What is the third biggest value in -2, m, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 4:02 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23041 - -58485. What are the prime factors of w?\nAnswer: 2, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2365400 rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 n when three letters picked without replacement from vvvvvvvvvvvvvnvvvvv.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 5. Let z be h(6). Let i = z - 0. Suppose 8 = -3*q - q. Which is the second smallest value? (a) i (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -2052a?\nAnswer: -20530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2763, 11940, 27525, 49518, 77919?\n\"Answer: 3204*i**2 - 435*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -97222057 rounded to the nearest 100000?\nAnswer: -97200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 3:42 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1435536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, -2, -2\/9, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 4948421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at least as big as 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 8. List the prime factors of 7 + (1 - 1) + w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-21)*55720\/(-4975)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2510840 by 502168.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*z + 408 - 165, 160 = 2*z - 2*v. What is the lowest common multiple of 10 and z?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v - 3*p, -v + 4*p + 1 = -1. Find w such that -3*w + 4*w + 3*w + v*w**2 - 2 - w = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from {f: 1, x: 2, l: 2, b: 1, i: 5, t: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28059, 56050, 84041, 112032?\n\"Answer: 27991*t + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/4)\/(-3*(-2)\/66). Let x = 121 - r. Suppose 33 = 3*v - x. What is the remainder when v is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/(-5) - 22\/55. Suppose -3*v + p = -2*v + b, -2*v - 2*p - 8 = 0. List the prime factors of 0\/(-3) - v\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 10*d**2 + 3*d + 111. Let u(f) = -3*f**2 + f + 37. Calculate -2*k(m) + 7*u(m).\nAnswer: 2*m**3 - m**2 + m + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*79623540.\nAnswer: -318494160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8551 - 7720. Solve -c = 7*n - 838 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1664645.\nAnswer: -1664645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-418)\/44)\/19*(-24)\/(-14)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3901455*c**5 + 2*c**3*j + 419*c**2 - 604*c*j - c - 1 wrt c?\nAnswer: -234087300*c**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 6*n**2 - 16*n + 12. Let p be a(8). Suppose 4*w - p = 5*c - 4, -2*c = w - 2. Solve j - 5 = -w*o - 1, 5 = -o - 4*j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8458 is divided by 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 613 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 1. Suppose 4*g + 4 = -0*g. Let c(p) = -8*p**2 - 6. Let u(y) = g*c(y) + 5*h(y). What is the first derivative of u(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 d when three letters picked without replacement from wwwdwwodwdowo?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 + s + 1. Let g = -2 - -1. Let t be y(g). Is t > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*n + 36 = -10, 4*h - 34 = n. What is the highest common factor of 92 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2862, -2861, -2860?\n\"Answer: a - 2863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uub when three letters picked without replacement from {u: 2, o: 5, b: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 11265?\nAnswer: 101385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 6*l**2 + 7*l + 3. Let m be ((-40)\/(-15))\/(4\/6). Let t be (-14)\/m*(-12)\/(-6). Let w be f(t). Solve 3*b + w*q - 7*q = 8, 5*q + 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9876 and 94.06.\nAnswer: 928936.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 10 = -3*t. Suppose -2*r = r - t. Let c(x) = -3*x - 7. Let k be c(-4). Solve -3*q = r*l + 6, k*q - l - 14 = -0*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 34. What is the third derivative of 20*w**2 + 11*w**4 - 6*w**x + w**4 wrt w?\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-20)*(-3 - -13). Solve -2 - r = -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 327039387?\nAnswer: 3, 17, 1049, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -42662.155 times 4?\nAnswer: -170648.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*f + 59*f**4 + 47*f + 57*f**4)*(-2 + 2*f + 2).\nAnswer: 232*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*h - 7584, -651*q - 37932 = -656*q + 2*h. What is the thousands digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1373, -5805, -13193, -23537, -36837, -53093, -72305?\n\"Answer: -1478*v**2 + 2*v + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 25*m**2 + 11*m + 6. What is the tens digit of o(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10*z + 2. Let j(h) = -59*h + 13. Let a(g) = 34*b(g) - 6*j(g). What is the remainder when a(4) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0070795 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d7c4a (base 15) to base 10.\nAnswer: -3722020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u**3 - 52*u**2 + 52*u + 20. Let p(o) = -12*o**3 + 51*o**2 - 52*o - 19. Let t(h) = 4*p(h) + 5*v(h). Let t(z) = 0. Calculate z.\nAnswer: -1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507416105.\nAnswer: 3, 5, 13, 7730339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/686 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175 (base 9) to base 3.\nAnswer: -12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 5*k + 6. Calculate the remainder when q(-6) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/61 + -195\/244. Let t = 16 + -12. What is the smallest value in -0.5, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a microgram in nanograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143323 + 3141?\nAnswer: 202014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.2, -2\/7, 41, -14, 1993\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*v - 904, -241 - 111 = -2*h + 4*v. Calculate the remainder when 89 is divided by (21\/(-7))\/21 + h\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 35 = 4*h + 2*s, 4*s + 2*s + 45 = 69 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-2 - -6) + 0 + 132011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*u + 5*n = 177*u + 4917, 3*u + n - 7369 = 0. Calculate the least common multiple of u and 24.\nAnswer: 7368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - 102. Which is the closest to 2? (a) i (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 u when three letters picked without replacement from {u: 3, f: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53981362.\nAnswer: 2, 163, 165587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26140 and 692710.\nAnswer: 1385420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.41? (a) 34 (b) 0.5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82 + 29)\/(-689))\/(2\/8).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -140*b - 1684. Give k(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-3))\/(4\/(-6)). Let x be 2\/3 + (-286)\/33. Let z be (-3 - x\/d) + 0. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 217\/4*i**2 + 1485*i + 729 + 1\/2*i**3 = 0.\nAnswer: -54, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227255 is divided by 32337.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x + 328 - 388 = 5*j - 49*x, 5*x + 6 = j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 11131*w**2 - 8*w**3 - 11131*w**2 + 0.\nAnswer: -8*w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 + 7*n**2 - 3. Let h(u) = -u**2 + 1. Suppose 3*r - 10 = -4*a - a, -5*a - 10 = -r. Determine a*y(f) - 3*h(f).\nAnswer: -2*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(68) + 2) + -5 + (1 + (-2 + sqrt(425) + sqrt(17))*-2)**2.\nAnswer: -132*sqrt(17) + 2456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -22 + 22 + 14*v - 5*v. Let c(s) = -3*s**2. What is p(c(o))?\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*u - 1633. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 4*s, -3 = -d + 3*s - 2. Let v = d - -2. Suppose v = 2*q - 6*q. Solve -4*a = -q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 818 - 2263 = -5*x, 0 = -2*t - x + 574. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 + -75. Let w be 2\/(-5) + (-17)\/(-5). Suppose -5 = -w*m + 5*a + 2, 5*m + k = a. Let h(p) = p**3 + 7*p**2 + 8*p + 3. Give h(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((3 + -1 - -8) + 10 + -9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-21))\/(y\/y**(-3)))**(-49) assuming y is positive.\nAnswer: y**1176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/14)\/(220*(-166)\/(-51128)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70688077 by 59.\nAnswer: 1198103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u**2 - u - 1. Let m(n) = 9*n**2 + 12*n - 15. Let c(i) = -m(i) - p(i). Is c(11) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000110392 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(72)\/sqrt(6)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -5. Calculate the smallest common multiple of ((-315)\/(-126))\/((-15)\/(-252)) and m.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5301209227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.085 - -1.085. Which is the second smallest value? (a) -1\/4 (b) -0.3 (c) x (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1 - 2) - (222 - 207)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 at most 209\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.206436l in millilitres?\nAnswer: 6206.436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.2, -1, 3 in descending order.\nAnswer: 3, -0.2, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-18)*0)\/(-7 - -9))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 55980, 53719, 51458?\n\"Answer: -2261*d + 58241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478*k - 21 = 471*k. Suppose 10 = -2*p - 3*o, p + 2*p + 15 = 5*o. Sort 4, p, k, 11 in decreasing order.\nAnswer: 11, 4, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 5:37 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, -6, -16, 40, 14 in decreasing order.\nAnswer: 40, 14, 8, -6, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.8 + -12.7. Let h = -1.93 + -0.07. Let n = 2.8 - 3. What is the nearest to g in 0.2, n, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8 + 9 = -3*s, -5*s - 20 = -5*y. What is the greatest common factor of s and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/43)*p*p\/(p\/(p**(9\/8)\/p))*p**(-12\/5)*p*p**(2\/11) assuming p is positive.\nAnswer: p**(-1323\/18920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 2. Let g(t) = -4*t + 7. Determine -6*g(v) + 13*m(v).\nAnswer: -2*v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(12\/(-8))\/3. Suppose -a + 2*w - 7 = -c*a, -4*w = a - 17. Let o be 14\/4 - a\/(-2). Solve 0 = -5*l + y - 14, -o*l - 12 = -l + 3*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 42*p - 10 = 0. Find the common denominator of 2\/(-12)*(490\/(-12))\/p and -7\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 359197508, 359197506, 359197504, 359197502, 359197500, 359197498?\n\"Answer: -2*f + 359197510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38774 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s*w**2 + 292*s*w + 18*s - 13 with respect to w.\nAnswer: 4*s*w + 292*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {o: 2, q: 2, c: 2, n: 5, t: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**8\/48 + i**5\/12 + i**2. What is the third derivative of l(q) wrt q?\nAnswer: 420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2280 divided by 19.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 + 6*v**2 - 2314*v**3 + 2230*v**3.\nAnswer: -84*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -106. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 2*v**3 - 4*v - 1014*v**2 - 2770*v**2 + 488*v**2 to k + p*v**2 + b*v**3 + y*v and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2153*l*m**2 + 6002*m**2 wrt l?\nAnswer: -2153*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 169 - 557 = 0. Let p = -2073 + t. Let j = -1207 - p. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1127068, 2254135, 3381202, 4508269?\n\"Answer: 1127067*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51050187?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + (-2 - 2))\/(2\/18). Let z(v) = -v + 10. Give z(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*r - 35*r - 9*r**5 + 107*r wrt r?\nAnswer: -180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 5*j**2 + 7. Let u be m(5). Let t = 0 + u. What is the derivative of 7*i - t*i + 2 + 3 - 4*i**2 wrt i?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 606\/(-101)*10\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 192533184 rounded to the nearest 100000?\nAnswer: 192500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 131*g = -436. Let b(m) = 17*m - 14. Let h(i) = -6*i + 5. What is g*b(z) + 11*h(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.1181338 minutes to weeks.\nAnswer: 0.00288870375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 987 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 491\/17 - 29. Let n = -138 - -140. Which is the third smallest value? (a) n (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*j - 2 = 0, 2*j = 2*g - 3*j + 1. Let b(n) = n**2 - 1. What are the prime factors of b(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 136*u - 908. What is v(8)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 1953?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 14 = -g + 3*g, o = -2. What is the units digit of (3 + 21)*g\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 13*j - 3640. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -110, -603, -1464, -2717, -4386, -6495, -9068, -12129?\n\"Answer: -4*i**3 - 160*i**2 + 15*i + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 7. Let q = 0 + h. Let l(w) = w**3 + 5*w**2 + 2*w - 2. What is the units digit of l(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4 minus 4.395?\nAnswer: 13.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10002 (base 3) in base 12?\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(252) - sqrt(252)*-3)\/(((sqrt(4) - (sqrt(256) + sqrt(4)) - sqrt(4)) + sqrt(4))*-6) + 1)*3.\nAnswer: 3*sqrt(7)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**5\/3 - k**4\/2 - 18*k**3 - 11*k**2 - 11*k. What are the prime factors of g(-6)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20203 (base 11) in base 13?\nAnswer: -10594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by (-3 + 0 - -1) + 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28714, -28724, -28748, -28792, -28862, -28964, -29104?\nAnswer: -29288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*n**2 + 197\/3*n + 49\/3.\nAnswer: (n + 49)*(4*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270 + 270.0165. Let f = -0.01649028 + t. What is f rounded to 7 decimal places?\nAnswer: 0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5494499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351*j - 354*j + 1230 = 0. Calculate the remainder when j is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1651127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 4*p**7\/7 + 2*p**3 + 4*p + 238. Find the third derivative of o(n) wrt n.\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*w - 5*w**3 - 3*w**3 + 20*w**3 + 7*w**3 - 9*w**2 + 8*w**2 in the form q*w + f*w**2 + a*w**3 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12659671 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*m**3*s*v + 5*m**3*s + 17*m**3*v - 716*m**2 - 3*m*v - 2*s wrt m?\nAnswer: -90*s*v + 30*s + 102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**3\/3 - 3*r**2 + 4*r + 6. Let c be n(-6). Suppose 3*g = c*b - 2171, 3*b - 2*b - 548 = -g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 2. Suppose 2*m - 1823 = 5*k, 2*k + 35*m + 733 = 32*m. Let q = 363 + k. Put 2, 0, s, q in decreasing order.\nAnswer: 2, 0, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1269*o**3*x**3 + o**3 + 2*o*x**4 + 582*o wrt x.\nAnswer: 3807*o**3*x**2 + 8*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 111. Let i = u - -283. Let z = i - 166.99. What is z rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 4*j**2 + 7*j - 5. Let o(i) = i**2 - i + 5. Suppose -5*n = 2*k - n - 12, -2*k = n - 3. Let m be o(k). Calculate x(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182717 and 1279019.\nAnswer: 1279019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5947, 11938, 17929, 23920?\nAnswer: 29911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/4)\/(-1 + 3). Solve n = 4*h - 0*s + s + 6, 3*s + 1 = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5772 - 5772. Let d(f) be the first derivative of 0*f**2 - 4\/55*f**5 - 5\/33*f**6 - 12 + 0*f**3 + o*f + 3\/22*f**4. Factor d(m).\nAnswer: -2*m**3*(m + 1)*(5*m - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8648489\/2 != 4324246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.335 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/1*(-5)\/30. Let o(b) be the first derivative of 2*b + 0*b**2 - 1 - w*b**3. What is the derivative of o(j) wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -457 divided by -12\nAnswer: 457\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1159635 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**4 - 2095*j**3 + 6*j**2 - 192939?\nAnswer: -8*j**3 - 6285*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2 - 107984*d + 2376616 = 0.\nAnswer: -54014, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5141224 (base 6) in base 15?\nAnswer: -4d0b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*f**2 - 7672*b**3*f + 226*b**2*f**2 + 232*b**2*f wrt b?\nAnswer: -12*f**2 - 46032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*a**2*z - 15*a**2 + 103*a*z + 2*a - 11561*z + 6 wrt a?\nAnswer: -36*a*z - 30*a + 103*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 945, 1108, 1279, 1458, 1645, 1840?\nAnswer: 2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155240916 to the power of 1\/2, to the nearest integer?\nAnswer: 12460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -150*s + 153*s - 2, -5*c + 3*s = -28. Sort -106, c, -5, -6 in descending order.\nAnswer: c, -5, -6, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3976941.6 less than 0.28155?\nAnswer: 3976941.88155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 30 = q - 148, q - 110 = -5*i. Let c = 57 + -16. What is the remainder when q is divided by c?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31231320311 (base 4) to base 15\nAnswer: 4b066e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1782 - 0.1782. Which is the biggest value? (a) -0.3 (b) -9 (c) h (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide -1 - -487 - (6 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3227 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3733 is divided by 1945?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28590 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1956644457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 6*x + 39. Suppose -b - x*s + 94 = 0, -5*b + 2*s + 366 = s. Calculate the lowest common multiple of b and 1.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**3 + 32*x**2 + 31*x**2 - 62*x**2 - 18 - 2*x**3. Let d be b(0). What is the third biggest value in -1, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j. Let n(i) = 3*i**2 - 24*i**2 - 30*i**2 + 10*i**2. Determine n(d(l)).\nAnswer: -369*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from ssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 3*n**2 + 5*n + 8. Let k be c(-4). Let h be (-4)\/(-18) + (-11)\/9. Put k, h, -2 in descending order.\nAnswer: k, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1591.046 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228))\/((sqrt(66)\/sqrt(2))\/sqrt(11)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3242, 3211, 3170, 3113, 3034, 2927, 2786?\nAnswer: 2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*d - 3*d**4 - 4 + d**4 + 52*d in the form m*d**3 + q*d**4 + l*d**2 + v*d + f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1a63 (base 13) to base 11\nAnswer: 2a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -566, -1416, -2616, -4172?\nAnswer: -6090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, r: 1, s: 7, k: 2, w: 6}. Give prob of sequence sdsw.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 5, 1\/5, -4\/3, -1\/4 in descending order.\nAnswer: 5, 2, 1\/5, -1\/4, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10592 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*o - 4 - 0, -3*o = 12. Factor 48*q**3 + 65*q - 120*q**2 - 4*q**v - 21 + 47*q - 15.\nAnswer: -4*(q - 9)*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p + 49. Let j be g(7). Calculate the common denominator of -89\/28 and 4\/j*-7*(-9)\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 91*a - 407. Let s(f) = -31*f + 136. Let b(k) = 4*n(k) + 11*s(k). Let x be b(6). Let z(c) = -1. Let p(q) = -q - 13. What is x*p(w) - 78*z(w)?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Suppose -z + 2*z = t. Which is bigger: 0.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/30*(45\/(-6))\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 4*u - 8*u + 12, -5*a = 4*u + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000523813 to 5 dps.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**2\/7 + 128*f\/7 + 124\/7 = 0.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/((-15)\/390). Let l = x + 8. Let o be (-1)\/(3\/(l - 1)). Solve 3*s - 3*t + 6 = 0, o*s + 0 + 13 = 5*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**3 - 281*g**3 + 661*g**2 - 1327*g**2 + 667*g**2.\nAnswer: -301*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 49. Let u(c) = -c - 26. Let o be u(k). Sort o, 5, 1, -3 in decreasing order.\nAnswer: 5, 1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + -5*(-5 + 4 + sqrt(5))**2 + (sqrt(75)\/(-1*sqrt(5)) + sqrt(15))\/(sqrt(3) + sqrt(36)\/(sqrt(36)\/sqrt(3)))).\nAnswer: -30*sqrt(5) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 0 - 5*p - 3\/2*p**2 - 445\/6*p**3. Is w(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 4. Let b(v) = -1 + 3 + 8*v + 5*v + 8. What is the tens digit of b(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -3.5.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 249 and 131140?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/26*(146\/2628)\/(9\/(-2))?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3001221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10638, 10756, 10942, 11196?\n\"Answer: 34*x**2 + 16*x + 10588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3268 - 55?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 0 + ((-22)\/33)\/(2\/(-18)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60744)\/(-45) - (-6)\/45 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x = -z - 7, 0 = -3*x + z. Let s be 23 + 2\/(x\/(1\/1)). Calculate the greatest common divisor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 17 (b) 18 (c) -13\/7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 151576312.22+0.1\nAnswer: 151576312.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**3\/3 + h**2\/2 - 462. Let w(n) = 48*n**2 + 60*n. Calculate 60*v(y) - w(y).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -5*x**2 + 0*x**5 + 1\/120*x**6 + 0*x**4 + 0*x + 0 + 3\/2*x**3. What is the derivative of k(w) wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-24)\/9)\/1*(-216 + 18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 829526168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 986 divide 31945414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(3 + -2) - -149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9\/4)*c**6*c*(c**1)**(30\/7) assuming c is positive.\nAnswer: c**(253\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r. Let w(t) = 16*t**2 + 6414*t - 32. What is w(f(n))?\nAnswer: 400*n**2 + 32070*n - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**5\/90 - 9*b**2. Suppose n(l) = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 11?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 17*c + 2. Let u be -3 + 8\/(-6)*-3. Let h be v(u). Suppose 49 - h = 2*x. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 678651002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/22*(-7)\/((-63)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 3*r**4\/4 - r**3\/3 + 3*r**2\/2 - 3*r + 1. What is the tens digit of m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8646 - 32978 = -1892*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -999 by 37.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*-1)\/((-13)\/(-52)). What are the prime factors of -1 + (-44)\/t*10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -1617, 4 in descending order.\nAnswer: 4, -71, -1617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 4*d = 176. Suppose -9*w - 11 - d = 0. Let x be 32\/(-6) - w\/(-1). Which is smaller: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5921.6317 rounded to the nearest ten?\nAnswer: -5920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 958800 divided by -2\nAnswer: -479400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 12:47 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -847513216643 and 0.1?\nAnswer: 847513216643.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -192108500\nAnswer: 3\/192108500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-35) - 209\/(-560). Let p = 79\/1360 - x. Let l = -73\/170 - p. What is the second smallest value in -5, 1\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2 and ((-21)\/2 - -3)*(-5)\/(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 144116 - 93350. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2332 - 1152 - 1180 + 23*s**2.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -718881 rounded to the nearest 1000?\nAnswer: -719000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 904 + 84a?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 4*w - w - 5*w - 6*w + 5*w + (-3 - 2 + 4)*(0*w + 3*w - w) + 2*w - 5*w + 4*w + 2*w - 4 + 4)*(-23*w + 3*w - 7*w) to t*w + i + g*w**2 and give g.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*z + 154*z + 761*z**3.\nAnswer: 761*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by -23.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -269716?\nAnswer: -80914.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 202 = -62. Let g(c) = a*c**2 + 15 - 65*c**2 - 2 + 32*c**2. Let i(w) = w**2 + 6. Calculate -6*g(d) + 13*i(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*b - 28, 2*b + b = -4*u + 58. What is the greatest common divisor of 40 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n - n = -175. Solve 3*v = -n + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 13*l**7\/7 + 2*l**3 - 5. Find the third derivative of n(v) wrt v.\nAnswer: 1560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dccdccacdacddddccd. Give prob of picking 1 c and 3 d.\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 3. Let z be x(-5). Let i(o) = o**3 + 9*o**2 + 5*o - 15. Is 16 a factor of i(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 101286.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/40408 and 21\/13.\nAnswer: 525304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 7:52 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(m**2 - 4*m + 4*m) + (-1 + 1 + 1)*(5*m**2 + m**2 - 5*m**2) as d*m**2 + n + s*m and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f**3 - 76*f**2 - 32*f = 0. What is f?\nAnswer: -2\/5, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 224e1 - 3?\nAnswer: 224dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9*u + 80 = 0. Let v(m) = -m**2 - 309*m - 2986. Let b be v(-10). Sort 12, b, u.\nAnswer: u, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + d + (0 + 0 + 2*d)*(1 - 5 - 1) - 3 + 3 - 2*d)*(-5*d**2 + 4*d**2 + 7*d**2 - 2*d) to g + p*d**2 + m*d**3 + q*d and give m.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1080\/110 - 18\/(-99) - 5 - 86\/14\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.7, -166, -3\/5, 2, -0.1, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1490 divided by -5\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4*x + 3*x)*(-3 + 6 - 1)*(4*x + x - 3*x + (1 + 2 - 5)*(-4*x + x - x)).\nAnswer: 100*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 557930188 divided by -1798\nAnswer: -310306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/10 + (-404)\/(-10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 - -107. Suppose -7 = -q*r + 1. List the prime factors of r\/(-12) + 2715\/90.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (122\/(-2562))\/(2*(-1)\/48).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + (-57)\/9 - 89*(-10)\/15. Solve -17*r - y + 7 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -40*g**2. Let y(u) = -50*u**2 + 2591*u. Calculate y(b(j)).\nAnswer: -80000*j**4 - 103640*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 u when four letters picked without replacement from {d: 7, x: 4, u: 6}?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d**3 - 9*d**2 + 13*d + 5. Let f(x) = -5*x - 2 - 252333*x**3 + 252331*x**3 + 2*x**2 + 1 + 2*x. What is -9*f(t) - 2*r(t)?\nAnswer: 2*t**3 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1)\/((-2)\/(-28)). Suppose -5*m = 2*s - 6*s + 28, -3*m - z = -s. Factor 2 + s*d - 9*d - 2*d**2 + 5*d**2 + 2*d**2.\nAnswer: (d - 1)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 3*x**2 + 5*x + 6. Let k be n(-4). Is 42\/4 - 1\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-185)\/40)\/(-31*59\/7316)\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20949 + 20940.421. Let a = x - 0.421. Sort a, -3, -1 in descending order.\nAnswer: -1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2. Let h(j) = -1120*j. Calculate h(f(n)).\nAnswer: 1120*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*p + (4 - 1 - 2)*(0*p + 2*p - p) - p + 0*p + 3*p + 4 - 4 + p - 68*p - 88*p + 40*p)*(-9 - 46 + 16).\nAnswer: 4290*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 - -170. Suppose 0 = -3*l - 2*l + z. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*q = -60, q - 47 = -5*j + 46. Suppose 0*k = 2*k + j. Does 24 divide 2\/k - 1950\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from {l: 1, e: 1, o: 10, v: 7}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -637000 rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-282)\/9 - (-2)\/(-3). Let b = -20 - y. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(20).\nAnswer: -4*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*i + 15 - 50, i - 3*a = 15. Let u = -1 + 6. Suppose 3 = -u*h + 43. Calculate the smallest common multiple of h and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131 - -479. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let y = 12 + -9. Let z be ((-12)\/(-28))\/(y\/2). Which is the biggest value? (a) 0.2 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 3*j + 13. Let k be c(6). Sort 3, 0.4, -1, k.\nAnswer: k, -1, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3453555 + -4?\nAnswer: -3453559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 7*p - 10. Let a = 68 + -64. Let j be h(a). Calculate the common denominator of 89\/6 and (3\/(-24)*j)\/(3\/318).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 22 (b) 0.4 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:34 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = -0*z. Is 0 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u**4 + 2300*u**3 - 20380*u**2 + 37140*u - 19008 = 0.\nAnswer: 1, 16\/13, 9, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from vzzvuucuuuuzvu?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (3 - (-6 - -6 - 7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864331823?\nAnswer: 864331823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 5*p + 5*p)*(-3 - 2*p**3 + 3) - 1006*p**3 - 106*p**4 + 1006*p**3 in the form r*p**4 + d*p + m*p**2 + w*p**3 + a and give r.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339 + -310. Suppose -x = -5*j - 9. Solve 5*v = -2*d - 14 - 2, 0 = -2*v - j*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 21*n - 20. Let u be y(-22). Let v(q) = -2*q**2 + q**u + 9*q - 19*q - 8. Give v(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11389221 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-140))\/(2\/(-5)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34652 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28279.63 litres to millilitres.\nAnswer: 28279630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-526*w + 11*w**2 + 528*w + 27*w**2 + 78 + 19*w**2).\nAnswer: 114*w**2 + 4*w + 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773*r + 308*r + 1013*r + 17650 = -13760 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 18568.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 2, 269, -10 in ascending order.\nAnswer: -10, -3, 2, 4, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10034, 20060, 30060, 40022, 49934?\nAnswer: 59784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4512 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10758\/2243 greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 244 + -242. Suppose -5*a + 12 = -2*c + 6*c, u*a = 5*c + 18. What is the remainder when 9 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 206*v - 10547. Calculate d(111).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.4, 4, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 - (34 - 15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.88 * 730.49\nAnswer: 642.8312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02424 and 839.8.\nAnswer: 20.356752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 38*x - 19. Let q be d(3). Let h = q - 87. Calculate the remainder when 20 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -24. Let x be (-141)\/27 - (a - (-8)\/(-36)). Do -19\/4 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((3*sqrt(190) - sqrt(190))*4)\/sqrt(10))**2.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7431054 and -0.02.\nAnswer: 0.014862108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 3:15 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-1 - 24\/(-9)). Differentiate 9 - 8 - 9*j**3 + p with respect to j.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*q**2 + 52*f*q + 242*f - 24*q - 23 wrt q.\nAnswer: 4*f*q + 52*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -1644.196\nAnswer: 49.32588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13811 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/1 - (0 + 0). Let n(u) = -2*u + 56. Let b be n(p). What are the prime factors of -1 + (-12)\/(-4) + b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 36.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440.35*893.\nAnswer: 393232.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24192)\/(-45))\/56*(-20)\/6?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(0*i**2 + i**2 - 3*i**2)*(i**3 + 2 - 2) + (-4*i**2 + i**2 - 4*i**2)*(-4 + 4 + 3*i**3).\nAnswer: -17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12\/461 + 25607\/9681. What is the common denominator of w and (26\/117)\/(10\/1065)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6 and -9\/371?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -18*f - 52. Suppose 5*g - 129 = 121. Let z = g + -63. List the prime factors of t(z).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2021*l**2 - 48509*l - 106. What is h(-24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 491229549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 329546 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12769*j**3\/4 + 4255693*j**2\/4 - 89176500*j + 88115769.\nAnswer: -(j - 1)*(113*j - 18774)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 + -62. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1790305 and 935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*19\/(-8) + (-3)\/(-12). Suppose -18 = -u*f - 13. Let b(l) = 3*l - 2. Let w(h) = h. What is f*b(t) - 4*w(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.98 + 6.8. Round s to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -26*x + 84. What is v(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2)*-8 - 231*85\/(-1785).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/7 - 16*j**2 - 224*j = 0.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 503, 498, 501, 524, 579, 678, 833?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*z + 363 - 1995 = 4*z. Let t(r) = -r**3 + 23*r**2 + 24*r + 8. What is t(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 + 1.3. Which is the closest to 1\/5? (a) 2\/5 (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 7*j + 9. Let s be l(5). Suppose 5*w = -4*h + 118, -2*h + 3*h - s = -4*w. Let c = -20 + h. Solve 2*d = -d + c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + sqrt(405)*-2 + -2 + (((1*sqrt(405) + sqrt(405))*4)**2 - sqrt(405) - sqrt(405)).\nAnswer: -27*sqrt(5) + 25918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17407227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*i - 12 = -231*i. Let z be i\/11 - 5400\/(-550). Solve -5*v + z*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2560 + -127?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1124260 - -24?\nAnswer: 1124314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 902 = 30*l - 88. Calculate the greatest common factor of l and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140\/2767 - 9484296\/19369. Let k = j + 490. Put 10, k, -2\/3, -0.5 in descending order.\nAnswer: 10, k, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icbbdccbicccbcbdcdd. What is prob of sequence icb?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-518)\/(-629)*-17*2\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -22589*y + 22587*y + 2*h, 52 = 4*h. Let r = 0.2 + -0.2. Which is the closest to -1? (a) r (b) 3\/5 (c) y (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116\/3*q + 11\/3*q**3 - 32 - 8\/3*q**2 - 1\/3*q**4 = 0. Calculate q.\nAnswer: -2, -1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1321031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((-24)\/18)\/(370\/(-531)). Let m = a - -149\/74. Find the common denominator of 38\/7 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 6156 = -372*f - 76*f - 8600 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -10114306, 4 in descending order.\nAnswer: 4, 2, -10114306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1548 (c) 5 (d) 1\/282\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 - 5*s + 14. Let y be o(-7). Let m = y - -255. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 351*u**2 + 28*u**3 - 97*u**2 - 27*u**3 to the form c*u + r*u**2 + h*u**3 + v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/46 - 6\/23. Let w = -65 + 64. What is the second smallest value in w, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60042?\nAnswer: 2, 3, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -48 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82.084 * -0.3.\nAnswer: -24.6252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0 - 2*z)*(3*z - 3*z - 3*z**2) - 5*z**3 + 17*z**3 + 10*z**3.\nAnswer: 28*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o - 13. What is the remainder when 1 - 2 - (6 - 173) is divided by t(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 616.0203*3\nAnswer: 1848.0609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + sqrt(99) + 1 + -3 + -1 + (-3*(2 + 0 + sqrt(99)))**2.\nAnswer: 114*sqrt(11) + 924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -136*m - 1115. Let g be b(-10). What is the greatest common divisor of 2058 and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 3. Let u(r) = -r**3 - r**2 - 2*r - 1. Let j be u(3). Let d be 2\/(-9) - j\/(-9). Give k(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81197941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1582)\/(-710) - 3) + 12\/15?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**2 - 4917728*k + 4917724 = 0.\nAnswer: 1, 1229431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000037791 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-136))\/((-3)\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a + 4. Let l be r(-8). Let m = -31 - l. Let u = -17 + m. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 613620 and -4?\nAnswer: -2454480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10616*y**2 + 17*y - 188. Let b be j(-8). Round b to the nearest ten thousand.\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 8\/9*u**3 - 26\/3*u + 16\/9 + 6*u**2 = 0.\nAnswer: -8, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 - 13. Let j = h - 97.8948. Round j to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22491, 44988, 67481, 89970, 112455, 134936, 157413?\n\"Answer: -2*w**2 + 22503*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -82067+0.05329563\nAnswer: -82066.94670437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 3*j - 2*j)*(-13*j**3 + 5*j**3 - 2*j**3) + (3*j - 2*j**3 - 3*j)*(5*j - 3*j + 0*j) + 0*j + 0*j + j**4 - 3*j**4 - 2*j**4 + 4*j**4 - 1 + 1 - 4*j**4.\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22761 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64051 divided by 2.\nAnswer: 64051\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 420 - -307?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**6\/105 - g**5\/35 + g**4\/42 + 3*g - 2. Let o(u) be the first derivative of n(u). Factor o(w).\nAnswer: 2*w**2*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 7:21 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94761*o**6 - 5*o**4 + o**3 - 42*o**2 + 10*o - 6157?\nAnswer: 11371320*o**3 - 120*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12885 - 23) + (-4)\/(-1) + 8\/(-8). What is the greatest common divisor of 465 and t?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664.363985 rounded to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 33*x**3 + 3*x**3 + 103*x**2 - 163*x**2.\nAnswer: -3*x**2*(x - 10)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 126*w - 43 - 250*w + 126*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.560726 rounded to the nearest integer?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-24)\/(-3) - 3). Which is the second smallest value? (a) s (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735.2467 kilograms to micrograms.\nAnswer: 735246700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10405*x + 82885. What is l(8)?\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxie when four letters picked without replacement from {x: 2, e: 4, f: 1, i: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.01 (b) 1\/5 (c) -3 (d) -14\/11 (e) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d - 6. Let m = d - -20. Suppose 0 = -4*h + m, 5*a = h - 0*h + 117. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 a, and 1 h when three letters picked without replacement from {a: 1, i: 1, z: 5, r: 4, h: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2 - 2)*(7 + 27 - 24)*(3*b + 5 - 5 + (0 - 3 + 4)*(0 + 0 - b)).\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1286, -2252, -3218, -4184, -5150?\n\"Answer: -966*l - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 13*f**7\/1260 - f**5\/10 + 5*f**4\/6 + 22*f. Let p(r) be the third derivative of a(r). Differentiate p(m) wrt m.\nAnswer: 52*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5*o - 13 = 0, -3*k = -3*o + 24 + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*b - 3*w + 11, -2*b + w - w = 2*w - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -53 from -6451861573.\nAnswer: -6451861520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h + 4*j = -45*h - 8, 3*h = 4*j + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o + 3 = 0. Suppose 0 = 2*v + 5*z - 157, z - o*z = -5*v + 465. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.153947 - -0.1528. What is a rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4767)\/(-217) - 4\/(-124).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14015 = 9*f + 10*f - 96337. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10098, -20189, -30278, -40365, -50450?\nAnswer: -60533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2 - 2*d + 12. Let n be u(-6). What is the greatest common factor of 96 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/10 - g**4\/6 - g**3\/6 - g**2 + 6*g. Let o be n(2). Suppose -o*c - 45 = -7*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.5 * -414280\nAnswer: -3521380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -20 + (-95 - -49).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -123153 (base 6) in base 15?\nAnswer: -3440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -130285695, -130285694, -130285693, -130285692, -130285691?\n\"Answer: f - 130285696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 801 a factor of 89806518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9823*n**2. Let r(c) = -736*c. Determine y(r(j)).\nAnswer: 5321079808*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 279, 254, 215, 156, 71, -46?\n\"Answer: -d**3 - d**2 - 15*d + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-242)*-55*-6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031*u + 1035*u + 477*u**3 + 492*u**3 - 2066*u.\nAnswer: 969*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117423.2 litres in millilitres?\nAnswer: 117423200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -17, 0, 47, 136, 279?\n\"Answer: 2*w**3 - 3*w**2 - 6*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(((x*x*x**(-2\/3)*x)\/x)\/x)*x*x\/x**(-8) assuming x is positive.\nAnswer: x**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j + 647 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 - 414*g\/5 - 1608\/5.\nAnswer: -3*(g + 4)*(g + 134)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17299*a + 10957*a + 10195*a to c + w*a and give w.\nAnswer: 3853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180249 is divided by 350?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2112887*x**3 - 3342805.\nAnswer: -6338661*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172004036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -106*q**3 + 5*q**2 - 71*q + 9. Let w(r) = 43*r**3 - 2*r**2 + 35*r - 4. What is -5*w(m) - 2*z(m)?\nAnswer: -3*m**3 - 33*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/6 (c) -0.1866 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5482, 5374, 5236, 5068, 4870, 4642, 4384?\n\"Answer: -15*f**2 - 63*f + 5560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 637 and 6125.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57696 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 4*d**3\/3 + d**2\/2 - 3. Let m be n(-1). Let -3*l**4 - 3*l**5 + 3*l**4 + 3*l**2 + 6*l**m - 3*l**4 - 3*l**3 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -8. Let k(z) be the second derivative of z**5\/20 + 5*z**4\/12 - 4*z**3\/3 - 9*z**2\/2 + 2*z. What is the units digit of k(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -7*j**4\/24 - j**2. Let c(m) = 7*m**2 - 5*m. Let a(k) = -6*k**2 + 4*k. Let r(n) = -5*a(n) - 4*c(n). What is s(r(w))?\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**2\/2 + s + 3. Let c be q(-6). Suppose 13 = b - 2*b - 4*u, 5*u + 20 = 0. Solve -b*i + c*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a**3 - 200*a**3 + 1691353 - 1691353.\nAnswer: -154*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 136*a**2 + 185*a + 830. Is 11 a factor of w(-70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1550 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 19*j**2 - 18*j + 17. Let z(p) = -18*p**2 + 12*p - 13. Let g(t) = 2*d(t) + 3*z(t). Let w(s) = 8*s**2 + 2. Determine 2*g(h) + 5*w(h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846*p + 758*p = 289*p - 59592 - 23253 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4158001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 63 - -1689873867\nAnswer: 1689873930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2144 and 1231192?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-57 - 12\/4) + 1. Let u = z + 67. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(sqrt(539) - (-4 + 2*sqrt(539)))*4 + 1))**2.\nAnswer: -30240*sqrt(11) + 318564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13*p - 72. Let o be s(-7). Let h = -160 - o. Solve -w - h - 2 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.659 - -4.869. Round h to 1 dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10884337 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1380 and 1107588.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4619674207 to the nearest integer?\nAnswer: 67968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308823?\nAnswer: 199, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 384280181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 812 and 464.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438115\/105 + ((-4)\/18)\/((-22)\/(-33))?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133858 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05652 - 2.96848. Round p to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 569*g + 561*g + 3)*(-g - 4*g + 4*g) + 0 - 2*g**2 + 0.\nAnswer: 6*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1910, -8077, -18350, -32723, -51190, -73745, -100382, -131095?\nAnswer: -165878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*j - 8 = 0, 4*j - 4 = -a + 3*j. Suppose 16 = -a*m + 5*m. Solve 0*r + m = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52477892 to the power of 1\/3, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8841815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 102, 108, 112, 114, 114?\n\"Answer: -a**2 + 9*a + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h - 42*h = -15. Suppose 3*j = 5*w - 6, 2*j - h*w - 2 = -11. Suppose 401 = v - 4*q + 46, 3*v = j*q + 1101. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104648238.\nAnswer: 2, 3, 19, 67, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 + 4. Let j(q) = 9*q**2 + 9. Determine 5*i(c) - 2*j(c).\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**3 + x - 1. Let b be i(1). Let d be 4\/14 - b\/14. Suppose -y = n - 0*n - 5, d = -2*n - 5*y + 25. Is n at least as big as -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -15. Let c be (-2 + 1)*(-1 - w). Let t be (-170)\/(-17) + c + 1. Solve v = -v + t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a + 4*c + 5837 = 17*a, -11644 = -2*a + 2*c. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 116\/14 - (-2)\/(-7). Let t be (k\/(-20))\/(0 - 1). What is the biggest value in t, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*g + 3 + 5 = 0, 4*s = -2*g - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6348*o + 228933 = 6375*o. What is the thousands digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 13*v**5\/60 - v**4\/6 - 2*v**3\/3 + 15*v**2. Let h be n(4). Suppose 88 + h = 3*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -66842 in decreasing order.\nAnswer: 1, -2, -66842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i - 1207 = -28*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((((sqrt(112) + sqrt(112) + -1*sqrt(112) + sqrt(112))*4)\/sqrt(8))\/((sqrt(2) + sqrt(10)\/sqrt(5)*-1 + sqrt(2))*-1))**2.\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 6)\/(11 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33201452.\nAnswer: 2, 647, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 - 3 = 0. Suppose 3*l + 0*j - 51 = 3*j, 0 = -2*l - v*j + 30. What is the remainder when 31 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, -64, -222, -524, -1018, -1752, -2774?\n\"Answer: -8*o**3 - 6*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204930292 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 - 6*p**2 + 5*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 17*p**7\/42 - 5*p**4\/12 - 28*p. Find the third derivative of v(a) wrt a.\nAnswer: 1020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 3*p**2 + p - 1. Let m = 0 + 4. Let t be (-4)\/2 + 2 - m. Let o be f(t). What is the greatest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03 and -0.08.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 185*y**2 - 935*y + 2380. Let x(p) = 14*p**2 - 72*p + 183. Let m(q) = 3*l(q) - 40*x(q). Determine a so that m(a) = 0.\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0 + 0*p + 1\/24*p**4 + 1\/120*p**6 + 3*p**2 - 1\/2*p**3 - 1\/30*p**5. Is y(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -13*n**7\/21 + 5*n**4\/4 - 11*n. Find the third derivative of j(y) wrt y.\nAnswer: -1560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211000110112110 (base 3) to base 5\nAnswer: 10443411330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*20\/3450*-1.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -713\/14 - -101\/2. Let t = -84.5 - -84. What is the second smallest value in 0.1, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*s + 42 = 0, k + s + 2*s - 27 = 0. Let p(c) = 21*c + 1. Let f be p(-3). Let v = 96 + f. Calculate the remainder when v is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 169367094.9147?\nAnswer: -169367094.9147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14)*12\/72.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 18 = 2*v, 0 = -5*v + 2*z + z - 7. Differentiate 5 - 12*c - 6 - 4 + v wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-2*-3 + 2*sqrt(240)*-2 + sqrt(240))\/((4*(sqrt(192) - ((sqrt(192) - (sqrt(192) - sqrt(192)*1)) + sqrt(192))) + sqrt(192))*5))**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172954\/45 + 19216\/5. Let w = 3\/19 - 5\/19. Let x = 14 + -9. Which is the smallest value? (a) 0 (b) w (c) z (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 63.8. Let z = 0.8 - o. What is the third smallest value in z, 0.4, 1\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 301? (a) -4 (b) -2 (c) 0.061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 14557297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f + 2506 - 3728 = 0 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i = -42*i - 24. Suppose i*r = r + 505. What are the prime factors of r?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123704 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346857 is divided by 235.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-1)\/(9\/(-18)). Let v be 1*2\/1 + 2. Suppose -q*t = -2*m + 4*m - 54, -t = -v*m - 22. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*z - 6, 0 = 5*t - 0*z - 2*z - 15. Suppose 8 = t*j - 1. Let o(s) = -4*s + 1. Let p(i) = -2*i. Let u = 715 - 717. Determine j*p(g) + u*o(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -3\/20*z**5 + 0*z + 0*z**3 - 7*z**2 + 0 - 3\/8*z**4. What is the second derivative of t(n) wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7139 and 642060243.\nAnswer: 7139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2498*i**3 - 87750 + 87750.\nAnswer: 2498*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*b**2 + b + 22*b**2 - 12*b**3 + 82*b**3 in the form v*b**3 + c*b**2 + i + a*b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**4 - 1928*o**3 + 51812*o**2 + 335312*o - 862512 = 0.\nAnswer: -7, 2, 34, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*t**2 + 28*t**2 - 19*t**4)*(-2*t - 2*t + 2*t) + (2 + 9*t**3 - 2)*(t**2 + 2*t**2 + t**2).\nAnswer: 74*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (7 + 11 - 17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-12)\/10*(-530)\/(-3). Let k = 1562 - h. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -65, -16, 0.9?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**2 - 5*i + 11. Let p be m(5). Let v = p - 159. What is the second smallest value in -3.1, 1\/2, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**2 - 2*c**2 + 2*c**2 - 4*c**6 + 4*c**2 wrt c?\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -341\/5 - -68. Let h(l) = l**2 + 5*l + 1. Let j be h(-5). Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1484824 and 2105224.\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9 - 5 = 0. Let a(z) = 12*z + 10*z**v + 2 - 13*z - 4 + 3. Calculate a(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7622 + 17*m - 2*m**4 + 2*m**3 + 7633 + 96*m to the form z + j*m**2 + t*m**3 + v*m**4 + l*m and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 2. Let w be u(-2). Let c be (-4)\/((-1)\/((-5)\/w)). Solve -n - n = c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -5. Let a(k) = -k**3 - 8*k**2 - 8*k. Let u be a(q). Suppose 165 = -4*h + u*h. Calculate the greatest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-12))\/((-9)\/(-54)). Suppose o + 2*o - 4*m = 14, -o = -5*m - k. Let s be 207\/27 - 4\/o. Solve s = -4*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*c**3*r**2 - 29*b**2*c**3*r - 6*b**2*c**3 + 3*b**2*c**2*r + 47*b**2*c**2 + 2249276*b**2*c*r**2 + c**3*r wrt r.\nAnswer: -2*b**2*c**3 + 4498552*b**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8395395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 6 - 210654*k - 16 - 2 + 2.\nAnswer: -210654*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(14\/(-21) - -1). Let b(k) = -3*k + 15*k**j - 28*k**2 + 10 - 6*k + 14*k**2. Determine b(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99837, -99834, -99831, -99828?\n\"Answer: 3*x - 99840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -14*p - 9. Let l be j(-2). Suppose -l*b + 520 = -17*b. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2505 = 230*h + 1175 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115445021 to the power of 1\/2, to the nearest integer?\nAnswer: 10745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a + 10. Let l be d(-2). Suppose -b - 63961 = -5*u + l*b, -2*b = 4. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1255.2 - -1255. Let w be -1*1 + -1 + 1. Which is the second smallest value? (a) t (b) 3 (c) w (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000100011100101010 (base 2) to base 5\nAnswer: -114330011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3 + 14097*y**2 + 25189496*y - 50435388 = 0. What is y?\nAnswer: -11997, -2102, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5061, -15.\nAnswer: -5061, -15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 35*a = 57*a - 1834012. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8476 - 8363) + (1 - 1) + -15\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -2\/13 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -445*d + 460. Let c(m) = -149*m + 153. Let r(h) = 7*c(h) - 2*k(h). Differentiate r(n) wrt n.\nAnswer: -153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.059 + 32959.\nAnswer: 32961.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/35*(-7)\/2*(-30)\/(-65)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3\/8 + 2665*n**2\/4 - 756211*n\/8 + 11370705\/4 = 0?\nAnswer: 43, 102, 5185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 25*x**2 + x + 32. Let c be k(-25). Suppose -h = -c*h + 54. Let f = 19 - -23. Calculate the remainder when f is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029417 to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/102701 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -804.1236 + 0.1236. Let n = p - -800. What is the second smallest value in -0.3, -1.7, n?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-1 - (-2)\/4). Let n = 37 + -40.1. Let d = -3 - n. Which is the second biggest value? (a) -2\/7 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/23 and -139\/414?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 5*k = -4, 4*k - 249 = -t + 251 - 499 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6409000 rounded to the nearest ten thousand?\nAnswer: 6410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (622\/(-18))\/((-25)\/105). Let o = 145 - c. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2 (b) 152\/3 (c) -1.416\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slogilo. What is prob of sequence lo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*i = -321*i - 128 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzem when four letters picked without replacement from {z: 7, e: 5, m: 4}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 - 0.3. Let z = 2.04 + g. Let f = 2.35 - 2.05. What is the second smallest value in z, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 + 2*l**2 + l - 2. Let s(t) = -5*t**3 - 2*t**2 - t + 4. Give 3*o(m) + 2*s(m).\nAnswer: -m**3 + 2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**2 - 3 - 11*s**2 + 0)*(-130*s**3 + 76*s - 76*s).\nAnswer: 650*s**5 + 390*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5207180982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 13*h**4\/24 - 15*h**2. Let a(b) = -9*b - 2. Let f(u) = 3*a(u) + 2*r(u). Calculate f(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, -725, 2\/23, 2\/7, -0.2 in descending order.\nAnswer: 2\/7, 2\/23, -0.2, -1.1, -725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5111494 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*g*s*y**2 + 10*g*s + 19*g*y**2 + 4*g - 2*s*y + 6*s wrt y.\nAnswer: -16*g*s*y + 38*g*y - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39289422 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 31 - 32 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -170 - (-180 - (-124 + 88)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*n + 5 = -93*n + 2*q, -14 = -4*n - 5*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1355825\/42 + 32284. What is the common denominator of -125\/42 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 20\/(-4) + 60. Suppose 0 = 4*x + l - q - 8, 2 = -l. Suppose 0 = 2*n - x - 238. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43098, 42720, 42082, 41184, 40026?\nAnswer: 38608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 272\/5, 2\/5, 92\/5?\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697*z - 1146*z + 122*z + 69*z - 156*z - 1245*z.\nAnswer: -3053*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 91 = 14*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(44)*3 + sqrt(44))*-1)\/((sqrt(1296) + (sqrt(1296) - sqrt(1296)*-2) + sqrt(1296) - sqrt(1296)) + sqrt(1296)) + -4.\nAnswer: -4 - 2*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1040 divided by 5.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4*2\/(-18))\/(((-24)\/572)\/(4581\/13234))\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7 = -w + 4*w, 0 = 2*a + 2. Factor 4*s + 2*s**w + s - 3*s - 4*s**2.\nAnswer: 2*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6*d = -5*m + 27, 3*m - d - 25 = 0. Suppose 5*i - j - 481 = 0, -5*j = -3*i - m*j + 286. What is the remainder when i is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q + 29*q**2 - 73 + 79 + 7*q - 2*q. Is p(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a\/a**(-2))\/a)*a*a))\/(a*a\/a**(-7))*(a**(-2\/3))**(-1\/5) assuming a is positive.\nAnswer: a**(-133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 33952 - 24349 = -29457. Calculate the highest common factor of v and 280.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 13*x. Let a(k) = -66*k. Let y(d) = -d**3 + 2*d. Let p be y(-3). Let g(l) = p*q(l) + 4*a(l). Let i(c) = 2*c. Calculate i(g(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39524?\nAnswer: 2, 41, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 45. Suppose 0 = -x + 10 - v. Suppose -i - x = -2*i. What is the greatest common factor of i and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 40*j**3 - 2*j**2 + 381*j - 3357. Does 153 divide k(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0*h + 2*h)*(-4 + 5 + 7)*(-2 + 25*h - h + 4*h) to the form g*h + p*h**2 + w and give p.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5605 + -44903\/8. Suppose 0 = 4*v + 2702 + 34. Let d = 3459\/5 + v. What is the common denominator of d and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7595.06 and 32.\nAnswer: 243041.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/5814*(10\/(-45) - 74038\/(-18)). Which is bigger: 40 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2\/2 - 139681233*t\/2 + 69840618 = 0.\nAnswer: -46560412, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 3, -1, -27, -87, -193, -357?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 45. Let t = z + 12.5. Which is the second smallest value? (a) 3 (b) 0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -4) + -3 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4951 + 4944 = 4*f, -k + 3 = -4*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 7*w**2 + 9*w - 5. Let h be y(8). Suppose 3*p - 4*o = p + 304, 3*o - 474 = -h*p. Is p a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6727 - 63?\nAnswer: 6664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*f*p**4 + 108*f*p**3 - 13*f*p - 54*p**2 + 4*p wrt p?\nAnswer: -312*f*p + 648*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77421 + -1316151\/17. Determine k, given that -4\/17*k**2 + 0 - 2\/17*k**3 + a*k = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4654*n**3*q**2 + 18*n**2*q**3 - 1192*q**3 + 7*q**2 + 1 with respect to n.\nAnswer: -13962*n**2*q**2 + 36*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2959322.98 rounded to the nearest 10000?\nAnswer: 2960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v. Let z be 4*((-12)\/8)\/(-3). Let x(t) = -2*t**z + t + 6*t - 7*t. Determine x(c(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 10*i**2 - 5*i + 2. Let v(k) = -k**2. Let x(o) = -g(o) - 5*v(o). Let q = -40 - -44. Give x(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 2)*2\/2*3. Suppose -7*h = 49 - 35. Let a be (-3)\/(-9) - (-2 + (-3)\/(-9)). Put h, n, a in decreasing order.\nAnswer: n, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjkewkyjjykk. What is prob of sequence ekww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = -10*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 353*r - 28. Is l(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -22, -38, -72, -130, -218?\n\"Answer: -f**3 + 3*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + 6. Let b = 60 - m. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2199281*q**3 - 75*q**2 - 6205 wrt q.\nAnswer: -13195686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3559 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/25? (a) -0.03 (b) -0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1740960 and 416.\nAnswer: 1740960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) -0.4 (b) -2 (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-4))\/((-15)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5)*1 - (-5 + (sqrt(3)*-2)**2)) + 3 + ((sqrt(768)\/sqrt(4))**2 - sqrt(24)\/sqrt(72)).\nAnswer: 2*sqrt(3)\/3 + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 596839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 4*s**2 + 3*s + 4. Calculate the remainder when (24\/(-5))\/(3\/(-80)) + 0 is divided by p(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*a**5*i**2 + 5*a**5*i - a*i**2 + 136*a*i wrt a?\nAnswer: 320*a**3*i**2 + 100*a**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/13 and 31\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) 4\/9 (c) 1\/11 (d) 4 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -90 - 2*k + 168 - 99 - k. What is a(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2297 = 4*j + 621. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2867.09409 microseconds to weeks.\nAnswer: 0.000000004740565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + -0.74. Let n = r + -0.76. Let x = -0.8 - n. Which is the biggest value? (a) x (b) 4\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12284265 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/5)*s*s)\/s*s**1*s*s)\/(s**(-3\/7)\/s**(-4)))\/((s**(-9)\/(s*s**(-5)))\/((s\/s**(-8))\/(s*s\/(s\/s**(-1\/12))))) assuming s is positive.\nAnswer: s**(5507\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 14*k**2 + 13*k + 3. Let u be z(13). Let i be 2\/u - (-2)\/(-3). Suppose 8 = 5*g - 2. Solve -v = -i*v - g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/38710?\nAnswer: 1\/38710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 125624 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 + -242. Does 21 divide r\/(-9) - (-6)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 89*p - 2*p**4 + p**4 + 0*p**4 + 2 + 137*p to i*p**3 + c*p**2 + h*p + f + d*p**4 and give h.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -2\/43949?\nAnswer: -2\/43949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Let y = 25.6 - 25.3. Put y, -8, g in decreasing order.\nAnswer: g, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z - z**2 - 8 + z**3 + z - 6*z**2. Let c = -57 - -84. What is the remainder when c is divided by b(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47699566*c*x - 23405974*c wrt x?\nAnswer: 47699566*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -75768080 divided by -15153616?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.074 + -0.426. Let t = i + -0.5. Sort -62, -0.4, t in increasing order.\nAnswer: -62, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in 3, -2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44142 and 104.\nAnswer: 2295384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*n**2*y**2 + 2*n**2 - 5*n*y + 18424*n + 177787*y**2 wrt n?\nAnswer: 6*n*y**2 + 4*n - 5*y + 18424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3303 - 1111?\nAnswer: -4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbvvbbmbvmvmmv. Give prob of sequence vb.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 103299\nAnswer: -3\/34433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Let w = -7 + 35. Suppose w = m*v + 4. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*o - 41*o = -5*y + 42*o + 314, 56*o = 54*o + 4 for y.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5285*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 14 = 4*j + 2, 4*j = 4*x - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -70, -74, -78?\n\"Answer: -4*m - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -16*s + 5. Let r be ((-58)\/116)\/(2\/(-4)). Let h(d) = d - 1. Calculate r*u(f) + 6*h(f).\nAnswer: -10*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10*d**3 + 35*d**2 + 1313*d - 996. Give o(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1144 and 226083.\nAnswer: 1808664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.41 + 1.81. Sort 1, 0, k.\nAnswer: k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 38. Suppose -b = -20 - p. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8354 - 4947. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3 (c) -0.11 (d) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 10. Let t = i - 5. Solve 4*m - 2*m - t = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9261*f - 4*o + 86 = 9266*f - 7, 5*o - 6 = -f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 298933075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1886?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (2 - 4)\/(4\/(-32)). Does 7 divide 8\/(-28) + 550\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26424 is divided by 551.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141978, 141977, 141974, 141969?\nAnswer: 141962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 7, -19, -83, -197, -373?\n\"Answer: -2*p**3 - p**2 + 17*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, 315, 311, 307, 303?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 0, -3966, -5, 1, 5 in decreasing order.\nAnswer: 5, 1, 0, -5, -45, -3966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 20426 = -9*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 16\/(1 - -3). Let t be 184\/10 + (-4)\/10. Suppose 0 = -x - o, -2*p + 6*x - 3*x + t = 0. Solve y - 2*c = 14, -4*y = p*c - 2 + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, t: 9}. What is prob of picking 4 t?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/12)\/v*v**(1\/2)*v*v\/(((v\/(v\/(v*v**(2\/3))))\/v)\/v)*v**(-1\/11)*v assuming v is positive.\nAnswer: v**(373\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.047102 and 65?\nAnswer: 3.06163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10524 - 1134440?\nAnswer: -1123512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 553 = 4*z - 10, v - 132 = -z. Suppose -3*i - z = -n - 0*i, -4*i = -5*n + 641. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 38*j + 67 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/7*3*2\/(-15)*(-3)\/(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/28 and -111\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 4 + 10 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/2 and 124862\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -12, -6*z + z = 4*i + 12. Differentiate 4 + p**2 - 2 - 4*p**i wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 21 (b) 2 (c) -5\/16 (d) 1216\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1084, 2512, 3940, 5368, 6796, 8224?\n\"Answer: 1428*o - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - 11)*2\/6. Let t be 24\/d - (4 - 7)*1. Sort t, 0, 1\/7 in descending order.\nAnswer: 1\/7, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -492 + 6393\/13. Let z(u) = -u**2 + 13*u - 34. Let l be z(3). Let i be 1\/(-5) - l\/(-30). Which is the second biggest value? (a) i (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -157*a + 15. Let v(n) = -2160*n. What is h(v(w))?\nAnswer: 339120*w + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/17 + 2\/17*x + 2\/17*x**2 = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**5\/10 + 3*a**3\/2 - 3*a**2 - 37*a. Is 31 a factor of p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**5\/10 - 24*k**4 - 284*k**3\/3 + 15312*k. Determine l so that d(l) = 0.\nAnswer: -142, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 151 + 426 = 0. Solve 53*b = 48*b - a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.91411 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -93 + (41 - -45)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 31*b**2 + 75*b + 164. Calculate z(-24).\nAnswer: 2396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57509 and 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3))**(-4)\/(z\/(z\/(z*z**2*z))*z)**(-1\/2))\/(((z**(-2\/7)\/z)\/z)**(-1\/11)*((z**(1\/5)*z*z)\/z*z)**(1\/7)) assuming z is positive.\nAnswer: z**(7649\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 456872796?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -30658 to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t - 22*t**3)*(-10*t**2 + 1 + 2 + 0).\nAnswer: 220*t**5 - 66*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 - 80*d**2 + 30*d**3 + 101*d**2.\nAnswer: 30*d**3 + 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9519 and 3.\nAnswer: 28557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*k - 15*k - 3582. Let m = -570 + k. Calculate the remainder when m is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -24.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -17) + 20 + -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l + 3*l**2 + 246*l**3 - 9*l**2 + 2 - 245*l**3. Give t(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/((-75)\/375).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/2*8\/(-12). Suppose 74 = -v*f - 226. Calculate the remainder when 11 is divided by (-8)\/12 + f\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145697*o**3*x + 2*o**3 - 23*o*x + 6955*x - 1 wrt o?\nAnswer: -874182*o*x + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120 - 2*j + 120)*(7*j + 0 - 1 - 3*j).\nAnswer: -8*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 4. Suppose 2*r = -4 + 10. Let n(q) be the third derivative of 0*q + 0 + 1\/2*q**3 - 1\/24*q**4 + q**2. Calculate r*n(u) + 2*d(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1032.7, 0.8, -0.1, -5\/6, 4 in decreasing order.\nAnswer: 4, 0.8, -0.1, -5\/6, -1032.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 8*j**2 + 6*j + 9. Let s be n(7). Let q be s\/(-8)*(1 - -5). Which is the nearest to 1? (a) 2 (b) -2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 348*n**2 + 16272*n + 33920.\nAnswer: -2*(n - 40)*(n + 2)*(n + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -6. Suppose -5*m - 2*t = -24, -3*m + q*t = m - 6. Let c = 22 - -6. What is the highest common factor of m and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, t: 4, o: 6}. Give prob of sequence tod.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Suppose -5*z + 5*t + 20 = 0, 4*z + 2*t = -2 + 12. Suppose h = -z*h. Let m(y) = -y - y + h*y. What is k(m(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 896 - -1. Let v = 16 + g. List the prime factors of v.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -32\/9 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*((-115)\/(-92))\/((-10)\/(-16)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5086*o**3 - 120*o + 1.\nAnswer: -30516*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:34 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3984380698.\nAnswer: 2, 71, 28059019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/101 (b) -4\/27883 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*(-6432)\/(-1206).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 294871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*d - 6, -5*d + 10 = q + 2*q. Let g be (-11)\/((-66)\/18) - d. Calculate the highest common divisor of 22 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 205880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5868*q + 5870*q + j - 1, -5*q + 4*j + 22 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158 + -55. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = 111. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7306220 to the nearest 10000.\nAnswer: 7310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/25)*f\/(f**(-2\/11)*f*f) assuming f is positive.\nAnswer: f**(-247\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) 3 (c) 418\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675 and 3755025?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825171 is divided by 824843.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -18 (b) -16\/11 (c) 3 (d) -0.13 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 divided by 2?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3375 + -3371. Let s(f) = 19 + 129 - f - 20. Calculate the lowest common multiple of a and s(0).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. Let z(v) = v - 17. Let j be z(-23). Let w be (-35)\/195 - (3 + j\/12). Which is the third biggest value? (a) -0.05 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 13\/2170?\nAnswer: 13\/2170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 4635.\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0635 + -163?\nAnswer: -164.0635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -4. Let b(s) = -9*s + 2*s - 2 + 3 - a. Let t be b(-1). Put 1, t, 0 in ascending order.\nAnswer: 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.104, -0.5, 31\/57 in increasing order.\nAnswer: -0.5, 0.104, 31\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4768*w + 4756*w - 9545*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/378)\/((-4)\/(-98))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 74. Suppose -4*r - o = -1. Let t be (-2 + -13)*2\/r. Solve 2*c + 8 = -t*u, 2*c + u + 20 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Let o = 3669 - 3662. Solve 3*l + 8 = -o, -5*l - 25 = x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5, h + 1465 - 166 = r. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 28 + 32. Suppose -4*m = -4*o + 2*o - i, -2*m - 3*o = -14. Solve -5*y - 1 = m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/45)\/(2\/3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2*-1)\/((57\/(-2907))\/(1\/(-6)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 21*y = 4788. What are the prime factors of y?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiivxximixixm. Give prob of sequence im.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:09 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3584654 - -3584653.84062635. Let t = u + 0.2053723. Let d = t - 0.046. What is d rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - -1505726.156.\nAnswer: 1505726.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3 - 3*u)*(-4 + 2 + 5)*(-2 + 4 + 2).\nAnswer: -36*u - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17703074?\nAnswer: 2, 229, 38653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17, -44, -95, -176, -293, -452?\n\"Answer: -w**3 - 6*w**2 - 2*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1615112718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 64.26404 millennia?\nAnswer: 64264.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 3*v + 62, -619*f - 37 = -618*f + 2*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**6 - 2*l**3 + l**2 - 1. Let z(t) = 120*t**6 - 4*t**3 + 4*t**2 + 5*t - 2. Let q(k) = 2*p(k) - z(k). What is the third derivative of q(g) wrt g?\nAnswer: -14640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/5 - s**3\/5 - 4*s**2\/5 + 4*s\/5 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**4 + v**4 + 1118 - 1111 + 2*v**3 to the form r*v + y*v**4 + c + u*v**3 + o*v**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010000 (base 2) to base 14.\nAnswer: -1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - g - 75 + 76, 4*y + 3*g = 16. Which is smaller: y or -18\/41?\nAnswer: -18\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*t + 2 = 0, 19*j = 17*j - 4*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 3857952.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 570 = -5*t, 5*p + 10 + 0 = 0. Calculate the highest common factor of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/6 and 57\/2234.\nAnswer: 6702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - -2 - 3 - -10. Let i(f) be the third derivative of -f**6\/120 + f**5\/6 - 3*f**4\/8 + 5*f**3\/3 + 3*f**2 - 142*f. What is i(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.73479 to the nearest integer.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/174 and -37\/2334.\nAnswer: 67686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i. Let n(u) = 6*u**2 - 4. Let q(k) = -1. Suppose -152 = -26*l - 48. Let b(c) = l*q(c) - n(c). Determine o(b(p)).\nAnswer: -66*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.76 - 1.36. Let w = o + 2.119715. What is w rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u - 15. Let x be p(-11). Suppose 3*n - 47 + 10 = 4*i, -3*n - i = -x. Calculate the remainder when 74 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1180556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7 = -8. Suppose -v*l = -0*l + 3*s + 3, -6 = 2*s. Let 4*z**3 + 8*z**4 - 8*z**2 + 6*z**3 + l*z**5 - 8*z**3 - 8*z + 4*z**3 = 0. What is z?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g + 4. Let x be q(-1). Suppose -l + 5 - 1 = x, 0 = -5*p + 3*l + 8. Solve -p*b + k = 0, 3*b = -2*b - k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 12*g + 23*g - 7*g.\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = 0, 8 + 4 = h + 3*x. Suppose 2 = 4*j - h. Suppose j*r + 3*u - 100 = -3, r + 3*u - 44 = 0. What are the prime factors of r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -3*o**4\/4 - 8*o**3\/3 + 3*o**2 - 3*o - 153. Let v be b(-3). Sort v, -2, 0 in ascending order.\nAnswer: v, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 10332?\nAnswer: 10333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -34. Suppose x*m - 225 - 590 = 0. Let c = m - 96. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71595*r**2 + 71605*r**2 - 143203*r**2 - 4*r**3 + 1 - 16*r to the form a*r + g*r**3 + y + b*r**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + l + 0*l - 22 = 0, 4*b + l + 23 = 0. Let t be ((-16)\/10)\/(2\/b). What is the second derivative of -4*j + j + j - 2*j**t + 0*j wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(132) + sqrt(132) - sqrt(132)))\/(2*sqrt(12)*-4).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -26. Let j(y) = -y**3 + 5*y**2 - 2*y. Let q be j(n). Solve -2*l = 3*m + q, 8 + 0 = 4*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 8, -23, -52?\n\"Answer: g**2 - 36*g + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32570.3 - -32570. Which is the nearest to 0.6? (a) 0.1 (b) 4 (c) -0.06 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q**28*q*q))\/q)\/((q**(-29)*q)\/q) assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - 4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395864*z + 45200 = -396316*z for z.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 8762749 = -56*g - 23*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**2 + 5 + c**3 + 3*c**2 wrt c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4*p - 335 = -309, 0 = 5*t + 3*p - 39 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 164297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 97\/7, -13, -16\/7 in descending order.\nAnswer: 97\/7, 0.2, -16\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - ((-1477)\/77 + 11). Which is the closest to -1\/3? (a) v (b) 0 (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/59 - 82\/531. What is the nearest to k in 5, -7\/4, -2?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 0*w + 0*w)*(13 - 13 + 38*w) + w**3 - 1 + 1.\nAnswer: 77*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10 = -10. Does 5 divide 0 + 1*(1 + b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 295856 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*d - 73, -d = -0 + 3. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52340 or 3402172\/65?\nAnswer: 3402172\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3088, -24379, -82164, -194689, -380200, -656943?\nAnswer: -1043164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 3*p - 2*p + p - p + p + (-5*p + 2*p + 2*p)*(0 + 1 - 3) - 4 + 23*p - 17*p + 1 in the form i + w*p and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 2*b**7\/7 - 14*b**6\/15 - 3*b**5 + 5*b**4 + 64*b**3\/3 + 24*b**2 + 495*b. Find h such that y(h) = 0.\nAnswer: -1, -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4799 + 1592. Is 83 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 211221011111?\nAnswer: 211221011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 4*s - 2*q = -6, -13903*q = -5*s - 13904*q - 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1\/4 (c) 0.2 (d) -74 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(85) + sqrt(85)*-2 + sqrt(85)))\/(sqrt(500)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - y + 5 - 9 + 15 + 23*y - 15 + (0 + 1 + 1)*(2*y + 0*y - y) - 1 + 1 + y to the form s*y + t and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.8692816 and 4861?\nAnswer: 4862.8692816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ee - -4?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35734, -71471, -107210, -142951, -178694, -214439?\nAnswer: -250186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 1 + -3 + 2. Let o = -1 - -4. Let b(d) = 85*d + 4*d**r - 3*d**3 + 2*d**o - 87*d. What is b(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 116, -1089, -3034, -5719, -9144, -13309?\n\"Answer: -370*w**2 - 95*w + 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -779 - 96. Suppose -7*c - p + 2534 = 0. What are the prime factors of c?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) + 0 - 48\/(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.95 * 0.03552994\nAnswer: -0.104813323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, f: 1, o: 5, j: 1, u: 3, x: 1}. Give prob of picking 2 o and 1 u.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -6672.8 - -5565. Round o to the nearest ten.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -7. Let n = o + -3. Let f(u) = 2*u**2 + 14*u + 3. Let k(y) = y**2 + 9*y + 2. What is n*f(g) + 8*k(g)?\nAnswer: -2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39194180849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 - 3378*p + 59873. Give u(18).\nAnswer: 1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3885, 31208, 105379, 249822, 487961, 843220?\n\"Answer: 3904*m**3 - 5*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 399551.\nAnswer: -1\/23503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuueuuuuuuuu. What is prob of picking 2 u?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193861 + 41633 = 6625*u + 180633 + 91139 for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-7 + 8 + -9 - -8) + -16 + 57.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -6. Let t = 11 + q. Suppose 2*n - 2*g = 25 - 9, 2*n + t*g - 12 = 0. What is the greatest common divisor of n and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 2*r + 392. Solve 2*l = -6*l + r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 21*x**4\/4 - 394*x**3\/3 + 325. Find the third derivative of k(y) wrt y.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 + 7*s**2 + 13*s**2.\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Let u(n) = 4*n**m - 5*n**2 + 2*n**2. Let t(r) = -3*r**2. What is u(t(x))?\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 32 = -0*z. Suppose 3*b = -12, -2*b = 3*h - 3*b + 245. Let d = -74 - h. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8*m + 0)*(-m**3 + 0*m**3 + 0*m**3).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + t + 610. Let y be n(0). Round y to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttwttitwtti. What is prob of sequence itit?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*o**3 + 5*o - 5*o)*(1 + o - 1) + (3*o**3 + 0*o**3 - 5*o**3)*(-6*o + 3*o + o).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-2 + 0 + (-198)\/(-42))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-9 + 4 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzmgm. What is prob of picking 1 m, 1 g, 1 z, and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 5*n - 3. Let c(j) = 5*j - 35 + 38 - j**2 + 0*j**2. Let p(a) = -3*c(a) - 2*q(a). Calculate p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3182183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 4*r**2 + 3*r - 2. Let u be h(-2). Let s(n) be the first derivative of 3 + u*n - 1\/2*n**2 - 1\/3*n**3. Find the second derivative of s(m) wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -18. Sort 1, -1, y in descending order.\nAnswer: 1, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from qnqvnnvbnnnbbbq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4750*y**2 + 4750*y**2 - 54918*y - 54906*y - 3*y**3 + 109824*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84346.\nAnswer: 2, 181, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -249, -644, -1207, -1944, -2861, -3964?\n\"Answer: -l**3 - 75*l**2 - l + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 - 79. Solve -12 = 4*q, -u*f + 4*q + 21 = q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 22*x - 50. Determine j(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 626116.\nAnswer: 2504464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -43. Suppose 9*u = h - 10. Suppose 4*j - 2*n - 12 = 0, -j + 5*n = 2*n - 8. Solve j*s - 14 = -s + l, u*s - l - 11 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 373489*x - 496*x**3 - x**4 - 21719*x**2 - 201921*x - 29552672 - 1331214*x - 24409*x**2.\nAnswer: -2*(x + 62)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*y = 0, 0*y - y + 9 = 2*p. Suppose -5*b - x + 10 = 0, -b - p*b + x = -8. Suppose -b*s = s - 96. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 8*x**2 - 17*x + 28. Let h(p) = -6*p**3 + 39*p**2 - 85*p + 142. Let g(w) = 2*h(w) - 11*o(w). Let r be g(-12). Is r less than 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(0*q + 2*q - 4*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 8. Suppose h*o = -o - 108. Let g = o + 53. Solve g = 2*z + 5*c, 4*c - 1 = z + 3*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 724913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -4)\/1*-15. Which is greater: 16 or o?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -90 (b) -6 (c) 0 (d) -0.1 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -71, -234 in increasing order.\nAnswer: -234, -71, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*j + 290 - 290 - 75*j.\nAnswer: -324*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3768, 7535, 11302, 15069, 18836, 22603?\n\"Answer: 3767*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2200 = 107. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 4*u**2 - 2*u + 6. Suppose -3*x + 6*y = 5*y - 15, 3*x + 5*y = -3. Suppose -10 = -w + 2*h, x*h - 1 + 25 = 3*w. Determine c(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y + 5*j - 15, -5*y + j = -25. Let t(f) = 0 + 2 - y*f**2 + 4*f + 0 + 3 + f**3. What is the units digit of t(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04302 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 117150 divided by 110\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**3\/9 - z**2\/6 + 9. Suppose u(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 11\/2*g**2 + 0 + 11*g + 1\/6*g**3. Let y be (-8)\/20 - 2\/(-5). Determine t(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5684 at least 619524\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/15 + 3\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2084994, -8339980, -18764956, -33359922, -52124878, -75059824, -102164760?\n\"Answer: -2084995*s**2 - s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = g - 0. Let x = g - -21. Is (45\/(-4) + 2)*x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 928\/9 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2210 + 1045. List the prime factors of ((-36)\/(-90))\/(-1 - 1166\/j).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181937380 to the power of 1\/2, to the nearest integer?\nAnswer: 13488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 2, q: 2, y: 1, n: 1}. What is prob of sequence jj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrraarraararrrr. What is prob of picking 2 r and 1 a?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20123023022 (base 4) to base 7.\nAnswer: 24525440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.12 - 9. Let x = s - -0.08. Let l = 9\/8 + -5\/8. Which is the closest to x? (a) -0.4 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 235 and 49585.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.12. Let n = h - -0.32. Let s = -2.2 - -2.6. Which is the nearest to n? (a) 0.5 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + 24. Let o = -70.0049 + h. What is o rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 12*d**2 + 10*d + 11. Determine t(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971*d = 9896 + 17292 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(102)\/(sqrt(6) + sqrt(216) + sqrt(6)))*-1)**2.\nAnswer: 833\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 7:25 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 9*j + 6. Let w be l(-10). Suppose 0 = -2*p + 2 + w. Let 5*m**3 + 3 + 6*m**4 - p*m**4 + m**3 - 6*m = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -252\nAnswer: -47\/252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004964441 rounded to five decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10100100111101101 (base 2) to base 9\nAnswer: 137765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 14*s - 20. Let r be t(-8). What is the remainder when 22 is divided by (3 + 4\/r)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + f - 1. Let p(b) = 19*b**2 - 17*b - 5. Let l(o) = 5*o**2 - 4*o - 1. Let d(h) = -9*l(h) + 2*p(h). Determine d(i) - 3*z(i).\nAnswer: -4*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 3161.29.\nAnswer: 31.6129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 122 - (-18 + 3) - (-12 + 3)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 200, 330, 438, 524, 588?\n\"Answer: -11*j**2 + 163*j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 545333 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.073, 1\/8, 0.3, -3, -4, 0.3671?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.598 + -2.098. Let y = 181 + -182. Let q(s) = -2*s**2 + 3*s - 1. Let l be q(2). Which is the second smallest value? (a) f (b) 4\/5 (c) y (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 244*h + 1872.\nAnswer: 4*(h + 9)*(h + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-1\/4)*o))**(-1\/15)\/(o**1\/o)**15)\/((((o*(((o\/(o*o**1*o)*o)\/o)\/o)\/o*o)\/o)\/o)**44)**(-2\/3) assuming o is positive.\nAnswer: o**(-2347\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 194 - 203 - (-1 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let k be j(-5). Let f = -7 - k. Which is greater: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1440728 divided by -19736\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, f: 1, w: 2, q: 1, i: 2}. What is prob of sequence wqw?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(13) + 3 + sqrt(52) + 0)*5)**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -405*t**3 - 4*t**2 - 3*t - 2. What are the prime factors of w(-1)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 2, w: 2}. What is prob of sequence wh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(5)*1 - sqrt(34))\/((sqrt(2) - sqrt(98))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 314, 1063, 2528, 4949, 8566, 13619?\n\"Answer: 40*q**3 - 2*q**2 - q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87555.\nAnswer: 3, 5, 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 23*d**6\/30 + d**3\/3 + 51*d**2 - 47*d. Differentiate n(m) with respect to m.\nAnswer: 92*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 a when four letters picked without replacement from dvavvaa?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, -8, -3, -64.\nAnswer: -182, -64, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/60 - j**4\/3 + j**3 + 7*j**2. Let a(x) = -2*x**2 - 15*x + 12. Let b(t) = -3*a(t) + 5*q(t). Does 18 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -466, -969, -1114, -337, 1926, 6239, 13166?\n\"Answer: 94*y**3 - 385*y**2 - 6*y - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = f - 5*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*y + 161 + 55. Which is the nearest to y? (a) 5 (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 3 + 5*t**2 - 6 + 2 - 3 + 3*t. Let r be d(-3). Solve 0 = k + 3*k + 12, 3*g + 3 = -r*k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b*b**(-8))\/b)\/b)**39*b**(3\/19)\/b**(-4) assuming b is positive.\nAnswer: b**(-5108\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -45323 to the nearest 100.\nAnswer: -45300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -7*m + 4*m. Suppose -r + m = -5*z - 24, 4*r - z = 45. Does 26 divide (-2440)\/(-14) + r\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -7*h - 5 - 12. Which is the smallest value? (a) 2\/9 (b) h (c) -6\/359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 10, g - 2 = m - 0. Let j be (2 - (-2 + 7)) + 1. Let v = g + j. What is the remainder when 9 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from simisseeieiiisiesi?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/11680 and 95\/16.\nAnswer: 11680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 5:00 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j + 12. Suppose 10*q - 3*q + 3*q = 0. Let y be o(q). Calculate the highest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64.38l?\nAnswer: 64380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 44*v**2 - 225*v - 13. Let m be t(6). Solve 5 = -m*u, 2*q - 38*u + 35*u - 11 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - (-5 - 45\/(-10)). Solve -3*d - 2*j + 5*j = 12, 3*d - j + 10 = s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 1785?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 69.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9552678 millilitres in litres?\nAnswer: 0.0009552678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-112))\/(6\/(-8))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, l: 12}. Give prob of sequence lel.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-5)\/(-1) + -2). Suppose 18 = -2*l - k*l + 5*r, -3*r + 45 = -5*l. Let s(g) = g**2 + 4 - 3*g**2 + g**2 + 6 - 7*g. Determine s(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 2. Let f = -3 + 10. Let r be s(f). Let d(g) = g**3 - 18*g**2 - 18*g - 18. Let u be d(19). What is the greatest common factor of u and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -45.296. Round d to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.25974 weeks to nanoseconds.\nAnswer: 9229090752000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/2 - 14\/3. Let t be 10\/(-4) + (-2)\/4. What is the closest to -1 in t, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + 8. Let s = 21.0058 - z. What is s rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*u + 243*u - 735*u + 194*u**2 + 250*u - 78*u**2.\nAnswer: 116*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*b - 2, -b + 22 = 4*r. Solve -o - j - 20 = 3*j, 5*o - 25 = r*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(1*6\/(-90)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -6.08?\nAnswer: 6.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 648680.0394 from -47.8.\nAnswer: -648727.8394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/5))**(-2\/41))**(8\/5) assuming o is positive.\nAnswer: o**(-16\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -81*l**3\/2 + 20731239*l**2 - 9213878*l + 1023764 = 0. What is l?\nAnswer: 2\/9, 511882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 12) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -2*n - 13, 3*n - 4 = 4*n - m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1239 - 8646\/7. Let j = -4 + r. What is the closest to 0.1 in 1\/2, 0.19, j?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12163 - 12167. Which is the nearest to -0.1? (a) 3 (b) -9 (c) 0.05 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 5:42 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1927.7505 months to millennia.\nAnswer: 0.160645875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*w = 23, -2*r - r + w = -18. Let l(x) = 4*x**3 - 8*x + 5. Let i(c) = -5*c**3 + 9*c - 6. Calculate r*l(p) + 6*i(p).\nAnswer: -2*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*a*o**2*z + 5*a*o*z**2 - 7*a*o + 3*a*z**2 - o**4 + 3*o**3*z**2 wrt o?\nAnswer: -82*a*z - 12*o**2 + 18*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1258810 to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -227326 (base 9) to base 15\nAnswer: -2a710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5381 divided by 7312.\nAnswer: 5381\/7312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 4*y + 3. Let h be a(-2). Suppose 5*z + 3 = 3*r, 4 = 4*r + z + z. Let q be -1 - (r - 5)\/1. Sort q, h, -2 in decreasing order.\nAnswer: q, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1172 - 14704?\nAnswer: -15876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**3 + w**2 - 4*w + 3. Let g be o(2). Calculate the remainder when (-188)\/(-14) - g\/(-77) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 14*z**3 - 1 - 7*z**3 - 4*z**3 to n*z**3 + g*z + r*z**2 + q and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.25 + 3.36. Let p = 4754 + -4754.10955. Let o = k + p. Round o to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) -22 (b) -1\/3 (c) -0.3 (d) 17 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(864) + (sqrt(864)*1 - sqrt(864))))\/(3*((sqrt(972) - -3*sqrt(972)) + sqrt(972)) + sqrt(972)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5. Calculate the lowest common multiple of 24\/(f + -5) + 147 and 9.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84812 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 732169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1 + -2 + -3 + 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/3 + 52*a\/3 + 160\/3.\nAnswer: 4*(a + 5)*(a + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2\/11 - 83244*u\/11 + 13598224\/11 = 0.\nAnswer: 164, 41458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11128*v + 1390996. What is x(125)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 1789311\nAnswer: 10\/1789311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -522652 (base 8) to base 12.\nAnswer: -8448a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 143, 336, 613?\n\"Answer: 42*k**2 - 17*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*b = -99*b - 897*b + 156200 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 51*q**5 - 117267*q**4 - 193269*q**3 - 34533*q**2 + 41418*q = 0.\nAnswer: -1, 0, 6\/17, 2301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n = 35. Let g(q) = -q - 15. Let y be g(n). Let r be (5 - 9)\/(y\/6). Which is smaller: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 3*h**4\/8 - 143*h**3\/6 - 5*h**2 + 2*h. Let y be x(16). Put -4, -5, 3, y in increasing order.\nAnswer: -5, -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00104244057 rounded to five decimal places?\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -472582, -472918, -473478, -474262, -475270?\n\"Answer: -112*m**2 - 472470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 166*w. Let l(m) = 10*m. What is r(l(f))?\nAnswer: 1660*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.1061, 0.3, -19, 0.5, -4?\nAnswer: -0.1061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6600)\/(-3960)*(-51)\/5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -7 + 27. Put 3, -4, s in decreasing order.\nAnswer: 3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1749\/(-2332) + (-375)\/(-468).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68a8 - 46?\nAnswer: 6862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -0.2, -16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -0.28, 4, -233 in ascending order.\nAnswer: -233, -4, -1, -0.28, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 9, u: 3}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 18. Let l be 1\/i + (-92)\/(-496) + 0. Do l and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1602*m + 108*m = -25650 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z. Let h(r) = -811*r**2 + 1060. Calculate d(h(j)).\nAnswer: -1622*j**2 + 2120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4560?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -211 + 271. What is the lowest common multiple of y and (89 - (9 - -1)) + 1?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -9. Let v be 3 + i\/(-5) + -11. Is v*(-1 - (4 + -1)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/9)\/(p*p*p**(-2\/3))*p\/(p**4*p)*p\/(p*p**5*p*p)*p assuming p is positive.\nAnswer: p**(-100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 2607 + 2607.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let n = d + 12. Suppose -2*f = -0*f - x - 2, -5*f - 4*x - n = 0. Which is the biggest value? (a) 1\/4 (b) f (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*g + 4 = -4, h + 1 = 4*g. Suppose -h*f + 25 = 2*f. Solve 0*i = 4*o - f*i + 22, -2*o - 4 = i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5 = -7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105445 take away -16?\nAnswer: 105461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 + 4 - 2 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -0.1, 0.1, -1.5, 2\/101, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o = 11*o + 3*t + 19, -4*o + 17 = -3*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*d*k**2 - 260*d*k - 2*k**3 wrt k.\nAnswer: 88*d - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 453845 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-46360)*((-9)\/1 - 1).\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 15) in base 2?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d + 47*d + 44*d + 98*d - 9729 = 0 for d.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -6*y + 2*y + 84, 15 = y + k. Suppose -11 = -3*t - s + 7, -3*t + y = 5*s. Solve -3*c + 7*p - 4*p = -t, 0 = 3*c + 4*p - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10256, -10261, -10270, -10283, -10300?\nAnswer: -10321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17885 (base 9) in base 16?\nAnswer: -3065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*y - 653 - 1805 - 917 = 0 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 14.07. Let h = d + -0.22. What is h rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1270518138 by 4.\nAnswer: -635259069\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 6984\nAnswer: -90792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-210)*-370 - (3\/9 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 divided by 6?\nAnswer: 121\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((y**11*y*y)\/y)\/y)\/y)\/y)\/((y\/((y**(1\/9)*y*y)\/y))\/y))\/(y*y**(-14)*y**(2\/5)))**(-2\/83) assuming y is positive.\nAnswer: y**(-2044\/3735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 + 78*h**3 - 459*h**2 - 540*h = 0. Calculate h.\nAnswer: -1, 0, 12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*l + 2 = -71*l. Suppose -4 = -l*p + 3*c + 158, -4*c = -4*p + 320. List the prime factors of -4 - (p*-1 + 9\/3).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/54 + 1)*2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + 3 + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + 137. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214439844?\nAnswer: 2, 29, 41, 255349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 9)*((-68)\/(-16) - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18) + 125\/(-45) + 5. Suppose 185 = 5*h + 3*u, 3*h + s*h + u - 175 = 0. Calculate the highest common divisor of h and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -7 (c) 2 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2. Let m(s) = 355*s**2 - 4*s - 4. Let b(q) = 719*q**2 - 9*q - 9. Let o(h) = -4*b(h) + 9*m(h). Determine o(i(g)).\nAnswer: 11484*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 93*r - 5. Let s(g) = 186*g - 9. Let o(u) = -7*f(u) + 4*s(u). Let v(z) = -46*z. Let c(w) = -2*o(w) - 5*v(w). What is the tens digit of c(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2244 - 214948*p + 221507*p + 3558 wrt p?\nAnswer: 6559","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, c: 2, u: 5}. What is prob of picking 2 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18 + 16)\/((-2)\/12). What is the highest common factor of 96 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1329, -1422, -1515, -1608, -1701?\nAnswer: -1794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 18 = -4*n, -3*n + 16 = 2*n + 4*l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1, -7\/6, -186?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139948*l**2 + 70044*l**2 + 69909*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u + 6 = -4*h, -2*u - 5*h = 21. Let d(i) = -i**3 - 3*i**2 + 2. Let n be d(u). Solve -3*q - q**n - 3*q**3 + q + 4*q**3 = 0 for q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7544, -5851, -3126, 553, 5108, 10461, 16534, 23249?\nAnswer: 30528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*z + 40*z = 7*z + 3726. Solve 4*w + z = 3*x, -4*w - 61 = -4*x - 29 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 316.137 + -316. Let k = -66.137 + l. Let v = 65.9815 + k. What is v rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/8)\/(-3) - (255 - 251)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(425) - (-1 + sqrt(425)*2 + sqrt(425) + sqrt(425))) + 4*(sqrt(425) + -1 - sqrt(425)) + sqrt(425) - (-5 + 1 + sqrt(425) + 3))*-4*2)**2.\nAnswer: 3840*sqrt(17) + 245056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -1*4\/8*-6118 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.5 + 3.5. Let v = z - -31. Let i(u) = -38*u + 2. Let b be i(0). Which is bigger: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 5:27 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31717\/1182*18\/7.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wll when three letters picked without replacement from {w: 4, l: 2, s: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/17 - 43892*d\/17 - 614880\/17.\nAnswer: 2*(d - 21960)*(d + 14)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*0.0501356.\nAnswer: -0.005514916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**3\/3 - u**2\/2 - 3*u - 3. Calculate c(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by -2788796.\nAnswer: -225\/2788796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -27*o - 62 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102111211 (base 3) in base 5?\nAnswer: -3012013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o + 8*o + 7*o**5 + 4*o wrt o?\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6041.72*0.02.\nAnswer: 120.8344","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 23*s - 7. Let k be d(-19). List the prime factors of ((-70)\/30)\/(-1 - k\/(-72)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698242 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 - 552 = -5*i. Suppose -2*a + 22 = -i. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/3 - 272*f\/3 + 90 = 0.\nAnswer: 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -254200 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**5 + 50*a**4 - 2170*a**3\/3 + 1520*a**2 + 5415*a + 463. Suppose u(c) = 0. Calculate c.\nAnswer: -1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/16 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098640 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 16*g + 1192 = -3*y, -3*g - 6 = 0. Let u = -370 - y. What is the greatest common factor of 170 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 102 (b) 0.2 (c) -0.5 (d) -282 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 2*g**2 + 2*g - 2. Let v be q(2). Let z be 2\/(-3)*30\/(-12). Let w = v - z. What is the smallest value in -1, -0.4, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1901 = -2*t, -d - 4*d - 5*t + 3160 = 0. Suppose 2*f + 5*c = d, 9*c = 6*c - 15. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -o - 2*b, 3*b = -5*o - 8. Let m(y) be the second derivative of -y**3\/3 - y. Let t(n) = 1. Let j(g) = o*m(g) - t(g). Give j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1602, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 10*u - 8. Let y(x) = -x**2 - 10*x - 9. Let r(z) = 2*c(z) - 3*y(z). Determine r(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -69, -146, -263, -426, -641?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8)**32\/(p**(-30)\/p*p\/p**(2\/15)) assuming p is positive.\nAnswer: p**(4292\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 75 = -2*r. What is the least common multiple of r and 126 - 2 - 54\/6?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 7939776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 2 + 61*t**3 - 162*t**2 - 4 + 85*t**2 + 79*t**2 in the form y*t**3 + g*t**2 + w*t + d and give y.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 7. Are r and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (sqrt(147) - (sqrt(147) + 0))**2 - sqrt(147))*2*-5*3 - ((4 + 2 + sqrt(147)*-1)**2 + -2).\nAnswer: -181 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 481.2904 microseconds?\nAnswer: 0.0004812904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.19? (a) -26 (b) -0.3 (c) 4\/9 (d) -0.1821 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 32586?\nAnswer: -1\/32586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675.1272 centuries to millennia.\nAnswer: 67.51272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -4*m**3\/3 - 76*m**2 + 6586. Factor t(g).\nAnswer: -4*g*(g + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563840?\nAnswer: 2, 5, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15142079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 14. Suppose -3*g + 3 = -2*b + 5, 3*b - y = 4*g. Let q be (b\/10)\/((-2)\/56). What is the greatest common factor of q and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, v: 1, i: 1, c: 1}. What is prob of sequence vf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3\/4 - 198735*l**2\/2 - 794943*l\/4 - 99368 = 0?\nAnswer: -1, 397472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.55033 + 7.515. Round o to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -x + 2*u + 18, 103 = 5*x - 3*u. Suppose 24*o = x*o + 116. Let a = o - 34. Let l(n) = n**3 + 5*n**2 + 2*n + 7. Determine l(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*w**2 - 8043 + 16082 - 24*w**2 - 8039.\nAnswer: -168*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -3*s**5\/20 + 5*s**3\/6 + s**2. Let j be (6\/(-8)*(-192)\/72)\/1. Let g(i) = -4 - 6 - j + 4 + 14*i**2. Give -5*g(b) - 8*m(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7987 - 7990 = -s - s + 4*s + f, s = -6*f - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(468) - 3*(sqrt(468) + 0 - sqrt(468))**2 - -5*(sqrt(468) + -1)).\nAnswer: -2 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 10526444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 5023?\nAnswer: -5000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 7*i**2 + 2*i - 5*i + i - 3. What are the prime factors of b(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0124743 to 5 dps.\nAnswer: 0.01247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 825 and 6225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6.6 + -9.8504895\nAnswer: -16.4504895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**6\/10 - y**2 + 2*y. Differentiate k(b) wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1dc - 103a2?\nAnswer: -101a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 37. Suppose 3*b - c = -0*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 3*w**3 - 39*w**3 + 8)*(-2*w + 2*w + w).\nAnswer: -42*w**4 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 2*g + 25*h, -2*h - 46 = -140*g + 136*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:41 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -197 - -201. Suppose -z + 6*z + 2*a = 5072, a + d = 0. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*q*x - 3228*q + 1598029*x wrt q.\nAnswer: -5*x - 3228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 2*y + 5*y + 19, 0 = 40*f - 65*f - 5*y - 105 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a + 2\/9*a**3 + 0*a**2 + 0.\nAnswer: 2*a**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118 (base 9) to base 4.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r*r**(-1\/10))\/(r\/((r*r**(-19))\/r))**(-1\/5) assuming r is positive.\nAnswer: r**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -197 * -74.\nAnswer: 14578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 15 = 3*u + 3, 0 = 5*b + 3*u + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(57)\/sqrt(48) - (2*sqrt(76))\/sqrt(4))**2 - ((sqrt(2299) + sqrt(2299) + -1)**2 + sqrt(19) + 0).\nAnswer: -146981\/16 + 43*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 4, -36, 8\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**3 + 5*g - 7. Let h(q) = -17*q**3 - 11*q + 15. Calculate 3*h(l) + 7*m(l).\nAnswer: 5*l**3 + 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/60)\/(1 - (1 - 60\/18))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3\/9 + 17*a**2\/6 - 16*a\/3 - 24. Factor j(m).\nAnswer: -(m - 16)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 - 15*x - 2. Let o be n(-7). Let k = 259 + o. Is 29 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4594 by -222.\nAnswer: -2297\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 2*f**2 - 4*f + 29. Let y be b(5). Calculate the greatest common divisor of 56 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1250.148l to millilitres.\nAnswer: 1250148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104205142 (base 6) in base 7?\nAnswer: -22001414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 5:43 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 8*j + 5. Let o be d(7). Let h = 1 - o. Find the first derivative of 1 - 4*g + 2*g + 2*g + 2*g**h wrt g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 5. Factor -y**3 - 3*y**3 - 16*y**2 + t*y**3 + 14*y + 0*y**3.\nAnswer: 2*y*(y - 7)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 5:53 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(1 - (-14)\/(-6)). Suppose 33 = 3*i - 3*q, l*i = 2*q - 4*q + 20. Solve 5 = 3*m - i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 11:18 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/7 + 46392*x\/7 - 538054416\/7 = 0. What is x?\nAnswer: 23196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42)\/5*-2*(-46945)\/(-458) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 - 283?\nAnswer: -282.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5082 - 1940. What are the prime factors of u?\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/10)\/(6\/(-15)). Suppose -2*h = -2*g - 12, -h - 4*g + 46 = 2*h. What is the first derivative of -v*y**4 - h*y + 2 + 10*y wrt y?\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-105)\/(8 - 3)*(-8)\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 - -10210201122?\nAnswer: 10210202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 6*b**2 - 3. Let p be k(-5). Calculate the remainder when (6 - -14)*p\/8 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3\/3 - 11225*g**2 + 4655340*g.\nAnswer: 5*g*(g - 6291)*(g - 444)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 113*t + 741. Let v be l(-49). Solve -3*m + 3*y + 18 = 0, -2*m - 2 = v*y - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.79 + 0.21. What is the biggest value in 0, -2\/13, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 + 136. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7640911.\nAnswer: 31, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from uxnnnxxinivvnnxvxnvx.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 78*s**2 + 3251*s - 13014. What is z(4)?\nAnswer: 1238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -197*r**2. Let v(s) = 13*s + 6. Let b(d) = 24*d + 11. Let h(l) = 6*b(l) - 11*v(l). Give h(j(z)).\nAnswer: -197*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5116553 (base 10) to base 6.\nAnswer: -301355425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + -2.1. Let s = 2241.37646 + -2237.67645967. Let v = s + k. What is v rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + -1 - ((25 - 57) + 36 - 12).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 3, u: 11}. What is prob of sequence vk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, v: 2, g: 2}. What is prob of sequence xxv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-64)\/12)*(-4)\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1404048182?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.95 - 1.3. Let j = p + -0.25. Let m = j + 7.5. Which is the biggest value? (a) 1 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7518051 is divided by 12530.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2681, -11196, -25483, -45542, -71373, -102976, -140351?\n\"Answer: -2886*y**2 + 143*y + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/15*(2 - 2). Suppose i = -9*s - 75 - 132. Let q = 414 + s. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - 59 + 57 + 7*j - j**4 + (3 - 3 - 4*j**2)*(7 + 3*j**2 - 7) to s + p*j**4 + d*j + m*j**2 + k*j**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -463*d*q**2*z - 2*q**2 + 70*z wrt d?\nAnswer: -463*q**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 126 + 54 = 0. Let o be (-6)\/10*600\/(-60). Calculate the highest common divisor of o and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66484144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -5, 0.12, 1, -1\/6, 1\/2, -351?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u**4 + 3*u**2 - 3*u**2)*(5*u - 2*u - u) - 12*u**5 - 7*u**5 + 11*u**5.\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719.051403 rounded to 1 dp?\nAnswer: 1719.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * 43.\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d = 6*d + 640. Let o(j) = -j**3 + 4*j**2 + 7*j. Let k be o(5). Calculate the greatest common divisor of k and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtaaatzua. What is prob of sequence xaz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-44)\/(d\/d**(5\/7)) assuming d is positive.\nAnswer: d**(-310\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1\/6, 2\/9, 62, 0.2, 2\/33.\nAnswer: 2\/33, 1\/6, 0.2, 2\/9, 20, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -0.2, -28, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4905 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.36? (a) 2 (b) 3750 (c) -183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*t - 3060 + 3060 to m*t + x and give m.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -45, -51, -59, -69, -81, -95?\n\"Answer: -h**2 - h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17604, 18085, 18742, 19581, 20608?\n\"Answer: d**3 + 82*d**2 + 228*d + 17293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 343*x**6\/60 + x**4\/12 + 1109*x**3\/2 + 1657*x**2 - x. Differentiate p(l) with respect to l.\nAnswer: 2058*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*i + 8772 = -123*i. List the prime factors of i.\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 5)*(25296*b - 2211*b - 5277*b + 29415*b) + 2*b + 2*b - 2*b to the form v*b + c and give v.\nAnswer: -94444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:42 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 19.97?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.86127 hours to nanoseconds.\nAnswer: 10300572000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -0.0584?\nAnswer: 0.00292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*k + 25, -6*g + g = 4*k + 33. Let q = k - -28. Find the second derivative of 0*h - 5*h - 19*h**2 + q*h**2 wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 820*t - 3987*t - 6860*t - 1453*t to d + g*t and give g.\nAnswer: -11480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.036001 - -0.033.\nAnswer: -0.003001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2 - 3*j - 3*j**2 + 4*j**2 - 4 - 3. Let y be z(-7). Let t = y - 41. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 7*u**2 - 5*u + 4. Let c(d) = d + 22. Let q(z) = -2*z - 2. Let l be q(7). Let w be c(l). What is the tens digit of k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6076 and 6762?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 9*q**2 + 8*q**2 - 4*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -25. Let z be (i - 26)*2\/6. Let t(k) = 1. Let d(g) = 3*g + 1. Let l(y) = y + 1. Let v(w) = d(w) - 2*l(w). What is z*v(c) + t(c)?\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.08 (b) 0.144 (c) -3 (d) 9 (e) 2\/7 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {g: 1, z: 1, n: 3, i: 1, s: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/5 - 16)*(-7 - 2110\/(-300))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.843 + 5.9. Let p = 0.157 - i. Put -4\/21, 0, p, -1 in ascending order.\nAnswer: -1, -4\/21, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 7, -0.298, 0, -0.1?\nAnswer: -0.298","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/12, 1\/4, -3\/8, 0.2, -2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 35802, 35815, 35850, 35919, 36034, 36207?\n\"Answer: 2*a**3 - a**2 + 2*a + 35799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0 (c) -1013 (d) -1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 - 4*f**2 + 2*f**2 + (-3 + 3 - 3*f)*(9*f + 7*f - 5*f - 1) to x + b*f**2 + h*f and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l**5 - 290445*l**4 - 25507602*l**3 - 56951436*l**2 - 14196360*l = 0 for l.\nAnswer: -85, -2, -2\/7, 0, 13918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -2760?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 0*h + 0*h)*(-49 + 98 + 2*h - 48) + h + 2*h - 4*h - 5*h**3.\nAnswer: -9*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -12*r**2. Suppose 65 + 49 = 2*j. Let i(u) = -115*u + j*u + 60*u. What is h(i(g))?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/10 - (-4654)\/2685. Which is the nearest to 107? (a) -3 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 h when three letters picked without replacement from {f: 1, e: 1, h: 3, o: 1, i: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**2 + 27888*f - 64811712 = 0?\nAnswer: 4648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 58807*g + 764479. Determine v(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110844, -110728, -110612, -110496, -110380?\nAnswer: -110264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*u - 134*u - 1357*u.\nAnswer: -1278*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**5 + 11*c**5 + 22*c**5 + (6*c**3 + 0*c**3 - 4*c**3)*(26*c**2 - 10*c**2 + c**2).\nAnswer: 61*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8833*z + 2*z**2 + 2 - 1.\nAnswer: 2*z**2 - 8833*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, -274, -4, 1 in descending order.\nAnswer: 1, -4, -5, -12, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 269, 273?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(1296) + sqrt(1296) + sqrt(1296) - (sqrt(1296) + (-2*sqrt(1296) + sqrt(1296))*-5))\/(3*(sqrt(648) - 5*(sqrt(648)*-2 - sqrt(648)))).\nAnswer: -7*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*q + 11. Let h be 41*(5 - q\/(-1)). What is the highest common divisor of h and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**7\/70 + 3*h**6\/8 - 364*h**3\/3 + 3*h**2 + 6. What is the first derivative of m(u) wrt u?\nAnswer: -12*u**3 + 135*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 6*g**2 + 3*g - 6. Suppose -3*n = -7*n - 20. What is the units digit of p(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 25*g + 89. Let u be p(-3). Which is the nearest to -0.06? (a) u (b) 0.05 (c) 5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/((-72)\/30))\/(3 + 2). Let m(i) be the second derivative of -f*i**3 + 3\/2*i**2 + 0 + 5*i. Let w(a) = a - 1. Determine -2*m(r) - 4*w(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 28779885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 444\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/14 (b) 13 (c) 0.1 (d) -2 (e) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nttptttztnxp. Give prob of sequence ptt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.949 - -1.051. Suppose -4*g - 24 = 4*v, -6 = -4*g - v + 3*v. Which is the third smallest value? (a) -1\/2 (b) g (c) 4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 25 + 17 - 32. Find the common denominator of m(-11) and 25\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-91)\/52*22\/77. Sort -0.4, 1, s, 5.\nAnswer: s, -0.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/954 - 12521\/7632. What is the common denominator of -149\/24 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -3, -0.4, -4, -765 in descending order.\nAnswer: 5, -0.4, -2, -3, -4, -765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -998595, -1997170, -2995717, -3994230, -4992703, -5991130?\n\"Answer: f**3 + 8*f**2 - 998606*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 64, -4 in decreasing order.\nAnswer: 64, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.1884 * 0.5\nAnswer: 0.5942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3\/8 - 7361*j**2\/2 + 216058485*j\/8 + 5000545575\/4 = 0?\nAnswer: -46, 14745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.42 - -37. Let r = -0.4 + b. Let k = -0.12 - r. What is the second biggest value in 3, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 39030504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 2, s: 7}. What is prob of sequence ss?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 1597513?\nAnswer: 13\/1597513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1, -2\/9, -5, 3, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 - 3*q**3 + 3*q**3 + (q + 9*q - 3*q)*(-92*q**4 + 47*q**4 - q + q**2 + 49*q**4).\nAnswer: 25*q**5 + 7*q**3 - 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*l = -7, 58*l - 4 = -y + 57*l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2140719465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**6\/30 + o**5\/20 - 35*o**4\/8 + 19*o**2. What is the second derivative of a(s) wrt s?\nAnswer: 24*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 6, f: 5, l: 1, u: 1}. What is prob of picking 1 u, 1 e, and 1 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41495387.27 + -5304.27. Let f = 41490048.999894 - n. Let s = -34 - f. What is s rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -59, -55, -53, -53, -55, -59, -65?\n\"Answer: -z**2 + 7*z - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1468 - -1513) + (-27 - -2) + 1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3878240 and 9040?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 66*d*x**4 - 190*d*x**3 - 483*d + x + 357 wrt x?\nAnswer: 264*d*x**3 - 570*d*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*f - 227590 - 434815 = 336965. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*x - 2380 + 10189 = -545 - 5730 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (130\/273)\/((-235)\/(-987)*(-9)\/(-8))\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n - 18. Let j be (256\/20 - 12) + (-3)\/(-15). Let c(t) = -t. Give j*v(h) + 8*c(h).\nAnswer: -2*h - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 3*t**2 + 8*t - 3 + 2*t**2. Let n be f(5). Sort n, -1, 2.\nAnswer: n, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -11*d - 17. Let c(f) = -2*f - 3. Let s(q) = 34*c(q) - 6*y(q). Let u(b) = 11*b. Give s(u(j)).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 5*d + 4*z, 0*d - 3*d = -3*z - 219. Suppose 0 = -3*g + 6*g - d. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2456\/111748 - 4487\/1274\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9716 is divided by 180.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*v + v - 10713, -5*k = -3*v - 53557. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 577506536?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 508 and 188087.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {m: 3, v: 5, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109278, 109256, 109222, 109170, 109094, 108988, 108846, 108662?\nAnswer: 108430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1805*u + 140786. Determine z(78).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-110)\/26 - 3600\/4680. Let k(v) = v - 3. Let c(t) = 1. Let i(d) = 4*c(d) + k(d). Determine i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 304 = f + 3*f, -159 = -2*r + 5*f. Suppose 2*c - 2*h = 108, -2*h - r = 5*c - 361. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -19*q**3 - 3*q**2 - 1 - 2*q**2 + 7*q**2. Suppose 4*h = -4*x + h - 13, -x + 4*h = -11. What is the lowest common multiple of t(x) and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 45*r**3 + 3511655*r**2 - 18339820*r + 3902100 = 0.\nAnswer: -78042, 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1320\/70 - 13) + 150\/70.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 + 3*a + 2. Let k be (-4)\/(-18) - (-120)\/(-54). Let h be x(k). Suppose 4*p = -4*n + h, 3*n - 5*p + 3*p = 8. Is 2 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -420, -468 in decreasing order.\nAnswer: 1, -420, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23234 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -163b8a?\nAnswer: -163b8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37888 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 4\/15*l**5 + 0*l**2 + 0*l + 1\/6*l**4 + 4 - 2\/9*l**3. Find p such that s(p) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2661*n**2 - 2*n + 1. Let s be j(1). Let x = s - -4979. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93266263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/2 + 2*m**3\/3 - m**2\/2 + 5*m + 5. Let w(r) = r**3 + 1. Let h(z) = -f(z) + 3*w(z). Give h(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.677 - 1.677. What is the fifth smallest value in -4, y, -0.2, -4\/3, -0.127?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*f - 16 = 0, 5*c + 4*f + 2 = 2*f. What are the prime factors of ((-15)\/c)\/((-9)\/(-36))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 9. Let y be x(10). Let c be 1*2\/(-4)*-3. What is the closest to y in 0.4, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1045 less than -153332903098?\nAnswer: -153332903098.1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 572602255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38713886, -38713882, -38713876, -38713868?\nAnswer: -38713858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117870.039 microseconds in weeks?\nAnswer: 0.0000001948909375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/71 or 1\/144?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*a**4 - 44*a**3 + 160*a**2 - 48*a.\nAnswer: -4*a*(a - 2)*(a + 6)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-32)\/((-8)\/(-1))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1. Is (j\/1)\/((-3)\/1893) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702 = 129*o - 467 + 137 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 31*a - 390. What is the remainder when 857 is divided by k(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 4 - 15)*(-31573*s - 1236*s**2 + 31573*s) to the form u*s**2 + o*s + w and give u.\nAnswer: 2472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 6932*s**3\/3 - 5*s**2 + 38*s + 6805. Find the second derivative of w(k) wrt k.\nAnswer: 13864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 1:15 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 50 = 3*o + 23, -15 = -4*y + 3*y + 3*y + o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let l = -1362 - -2779\/2. Let j = 29 - l. Put -0.3, x, j, 0.3 in decreasing order.\nAnswer: x, j, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -24 - (120 + -82)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3 - 9. Let b be 5\/y*(-8)\/5. Solve 5*l - 2*r = -17, -b*l - 16 = -3*r + 2*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 53 = -11*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164920503.\nAnswer: 3, 11, 181, 27611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z - 12*z - 205 = 260 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*b + 2 + 2, -b - 5*n + 12 = 0. Suppose -2*p + 3*a = -11 - 8, -b*p + 1 = 3*a. Let s = 156 + -155. Are s and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -143\/270020 or -1?\nAnswer: -143\/270020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r, 0 = -4*t + 3*r + 9 + 8. Suppose 0 = t*k + g - 4835, 8*k - 3*g = 5*k + 2883. List the prime factors of k.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/3*15\/25. Suppose 5*m + 18 = -u, -2*u + 24 = 4*m - 9*m. Suppose u*v - 972 = -b*v. What is the highest common divisor of 27 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*f**4 + 84*f**2*r + 1667*r - 2 wrt f?\nAnswer: 148*f**3 + 168*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/14 in -2\/67, -203, -1, 12?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288941 and 19549?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/(((-3*sqrt(132) - sqrt(132)) + sqrt(132) - sqrt(132))\/sqrt(11)))\/(-5*sqrt(18)\/(sqrt(9)*3)).\nAnswer: 3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 3, r: 1, z: 16}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 12*x**2. Suppose h + 2*v - 7*v - 56 = 0, 0 = 3*h - v - 182. Let k = h + -34. Let o(b) = k*b - 5*b**2 + 4*b**2 - 27*b. What is -32*o(m) - 3*p(m)?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 + -2. Let t = 23 + -23. Sort -0.3, m, t in increasing order.\nAnswer: m, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11163024 + 0?\nAnswer: 11163024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-111 + 45 + (-8 - -11) + (-3 - 3)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2398*p**3 - 5*p - 2458. Let q(c) = c**3 + c + 1. Let r(k) = -h(k) - 5*q(k). Differentiate r(o) wrt o.\nAnswer: -7209*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3998.76 + -5.\nAnswer: 3993.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -68, -64, -60, -56, -52?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*a - 130, 53*a - 29*a - 57 = 27*a + 6*x for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/37, -0.7, -20614?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 701740\/109 + -6438. What is the nearest to k in -3, -5, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 12) to base 8\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 236320 and 7?\nAnswer: 1654240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.0436255 rounded to 2 dps?\nAnswer: -11.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-10) + 267273\/95 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2682 and -598.\nAnswer: -1603836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66, 169, 412, 867, 1606, 2701, 4224?\n\"Answer: 12*p**3 - 2*p**2 + 25*p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-108)*-16*2\/(-4)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(36) - sqrt(4)))\/(sqrt(8)\/(sqrt(4)*-2)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2117092768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1300) + (0 + sqrt(1300))**2) + -3*(sqrt(1872) + -1).\nAnswer: -2597 - 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5124 minus -0.05?\nAnswer: -5123.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 + (5 - 6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (27\/15 - 3) + (1 + 279\/45 - -9)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37.1 - -22. Let d = 0.1 + l. Let t = -15.0003 - d. What is t rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 4*f**2 + 3*f + 1. Let z be y(-2). Let k = z - -8. Suppose 55 = 4*g + k. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 57 + 5 - 2*g**3 + 2 + 16 + 22.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 106, 5, -5, 12, -1 in increasing order.\nAnswer: -5, -1, 1, 5, 12, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -264250 divided by 50?\nAnswer: -5285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 231683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -153*f**2 + 403*f - 5. Let h(l) = -56*l**2 + 135*l - 2. Calculate 11*h(b) - 4*s(b).\nAnswer: -4*b**2 - 127*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 + 0.15. Let m = 86 - 82. What is the closest to -0.4 in m, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 38 + 38 = -4*m. Let a = -1 + 1. Suppose -3*k - 4*x + 412 = m, a*k - k - 3*x + 129 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 1512 = 5*p. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -18*s + 48*s - 19*s. Let w(t) = 2*t. What is w(a(p))?\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2121892 and 8589?\nAnswer: 44559732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -577 at least 383056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -1. Suppose c - j + 1 = 0. What is the lowest common multiple of c and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.8587 - 5.09. Let j = -0.243 - w. What is j rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 17*y = -13*y + 20, 0 = 4*b - 3*y + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (974*v - 508*v + 716*v)*(-3*v**3 + 2*v**3 - v**3 + (-4*v**2 + 4*v**2 + v**3)*(3 - 4 - 1) - 2*v**3 - v**3 + 2*v**3).\nAnswer: -5910*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -4*i**2 - 1\/840*i**8 + 16\/15*i**3 + 3\/175*i**7 + 28\/75*i**5 + 9*i - 4\/5*i**4 - 8\/75*i**6 + 0. Solve g(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700601 is divided by 6092?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351036284.\nAnswer: 2, 3361, 26111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 3*g**2 - g + 2. Let v be j(-3). Suppose -5*a = -4*k + 32, 0 = 2*a - v*k + k + 20. What is the closest to 0.1 in -2\/3, a, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 27. Let x = -21 - r. Let g = 1.2 - 2.1. What is the second biggest value in g, -0.4, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487370520 a multiple of 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 5. What is m(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 = o - 4, 5*o - a - 31 = 0. Let k = 4 - o. Put -1\/3, k, 2\/11 in descending order.\nAnswer: 2\/11, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -9, 0 = -4*y + 6*r - 3*r + 370269. Let x be 6\/10 + (-53894)\/y. Let v = x + 2\/1089. Is 0 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7*o + 5)*((1 + 1 - 4)*(3 + 1 - 3) + 0 + 1 + 0)*(-1 + 8 + 3).\nAnswer: -70*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, b: 6}. Give prob of picking 2 p and 1 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l - 8. Let d(n) = -7*n - 5. Let u(a) = 5*d(a) - 4*y(a). What is u(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/780 and -137\/840.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79048140 by -2.\nAnswer: 39524070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 21. Let j be z(17). Put -0.1, j, 4, 2\/13 in decreasing order.\nAnswer: 4, 2\/13, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -1827*b**5\/5 - 3*b**4\/4 + 10*b**3\/3 - 2*b**2 - b + 7688. What is the third derivative of h(t) wrt t?\nAnswer: -43848*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((0 - -6) + -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122948, -245904, -368860, -491816, -614772?\nAnswer: -737728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f + 508 = 0. Let j = 248 + f. Calculate the highest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 + 3. Let x = c - 0.1. Suppose 4*j - 1 + 5 = 0. What is the closest to j in 2, 2\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 433124 (base 5) to base 15\nAnswer: 45ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**5\/30 - 9*b**3\/2 + 12*b**2. Find the first derivative of r(m) wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 4. Let q(l) = 3*l - 12. Let b(w) = 6*q(w) + 17*s(w). Suppose 94 = 3*m + 37. Suppose -89 = -m*o + 25. What is b(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1448504*z - 84 + 84 - 13326*z.\nAnswer: 1435178*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.22 - -0.22000075. Round s to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 - 63. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2309 or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*u**4 + 15*u**5 + 91*u**4)*(3 + 1 - 2) + u**5 - u**5 + u**5.\nAnswer: 31*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*o - 315 = -279*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 178681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = -s. Suppose -2*w - i + 13 = -0, w - i = 5. Suppose -3*d = -w, -5*g + 2*d = d - 38. Which is the second biggest value? (a) s (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6809204?\nAnswer: 2, 613, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.335 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 2*j**2 + 2*j - 1. Let n be f(2). Let u = -1.4329 + -9.5671. Which is the fourth smallest value? (a) -0.4 (b) -0.3 (c) u (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 - 79. Let z = 6.00002 - c. Round z to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (130 - 4)\/6. Let y(v) = v**2 + 19*v + 41. Is 2 a factor of y(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8293 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 3, -4 in increasing order.\nAnswer: -4, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -39, 11, 61, 111, 161?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 3, w: 10, i: 1}. What is prob of picking 1 v and 1 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 301.\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, p: 5}. What is prob of sequence aaaa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3584 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: In base 15, what is -e88 + -33c?\nAnswer: -12c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*y + 42*y - 3226 + 12622 = 0 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**3 - 2*t**2 - t. Suppose 3*u + 3*w = -3, -4 + 8 = -4*u - w. Let s be q(u). Let a = 49 + -25. What is the highest common factor of s and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 9*v - 20. Let l be m(-8). Let s = -178 + l. Do s and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2\/5)*q**8*q**1*q**5\/q assuming q is positive.\nAnswer: q**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 313675942?\nAnswer: 313675945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - -13) - 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207 + 206.261. Let a = b + 0.7389996754. What is a rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**3 - 2*q + 1. Let k be v(1). Suppose 0 = -38*s + 66 + 124. Is k at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 6 + -15 + 17 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3289, 3197, 3105, 3013, 2921, 2829?\nAnswer: 2737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (0 - (65 - -3)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -387, -3515, -2 in descending order.\nAnswer: 1, -2, -4, -387, -3515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -4*k - 3*g, 32 = -0*k + k - 2*g. Let l = 208\/7 - k. What is the biggest value in 1, l, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -5*v**3\/3 + 1. Let p = -5 - -7. Let m(l) = 2*l**p + l - l**2 - l. Determine r(m(y)).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445165954 to the nearest integer?\nAnswer: 21099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 6 + 30. Solve 5*b - 26 = -k*o + 2, -o = -b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605663.\nAnswer: 19, 127, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 1573?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 92*n + 45. Let d be a(0). Is d not equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 2:36 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, 10, 31, 74, 145, 250, 395?\n\"Answer: k**3 + 2*k**2 - 8*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2187\/5 - 983\/5*r**3 + 3807\/5*r - 813\/5*r**2 + 64\/5*r**5 + 112\/5*r**4 = 0. What is r?\nAnswer: -27\/8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10916, 21688, 32338, 42866, 53272?\n\"Answer: -61*t**2 + 10955*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (50\/(-56) - (-63)\/84)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9664 - 3?\nAnswer: -9667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -5)\/(-2 - (-25)\/13) + (-2732107)\/208201?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62350 by 1.\nAnswer: -62350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r + 390 = -74*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458524.\nAnswer: 2, 11, 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*g, -g - 3*k = -4*k. Suppose -2*r - 4*s = g, 5*s = -0*r + 2*r - 9. Find d such that 2\/7*d + 4\/7*d**r + 0 + 2\/7*d**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + n**2 - n - 2. Let o(l) = -51*l**3 - 24*l**2 + 4*l + 7. Let z(x) = o(x) + 4*v(x). What is the third derivative of z(q) wrt q?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/797 - -10369\/6376. Let y = v + -263\/152. Let n = -0.3 + 0.5. What is the nearest to y in n, -3, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i - 301. Let f be (-48)\/(-1) + (-6)\/15*260\/104. Calculate y(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1223 + 1228. Solve i*p - 27 = 2*d, 0*p - 2*p + 14 = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32089 or -32090?\nAnswer: -32089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 - 206. Sort z, -1\/2, 1 in ascending order.\nAnswer: z, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/144)\/((-15)\/20)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from xhzjhhhxhhjh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03535156882 to 5 dps.\nAnswer: -0.03535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 12:27 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-4 + (-1 - -7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312220233 (base 4) in base 10?\nAnswer: 223791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*-8*(-21)\/14 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 15) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t - 7*t + (-3 + t + 3)*(3 - 4 + 2))*(-5*t + 27 - 38 + 16).\nAnswer: 30*t**2 - 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-2 + 4)*1. Find the common denominator of 61\/10 and (-51)\/2 + p\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -307.2 + 307.2005775. Round i to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1496 and 20577208.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, 1449 in ascending order.\nAnswer: 2, 14, 1449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/7 - -111\/56. Let v = -4.06 - -0.06. Let t = v + 5. What is the nearest to 0 in -4, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128890*j - 128890*j - 517*j**3 - 7*j**2 to w*j**2 + l + o*j**3 + s*j and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -23*v**2 - v - 7*v - 14*v**2 - v + 9*v**2. Let m(d) be the second derivative of 7*d**4\/12 + d**3\/3 + 22*d. What is -2*b(x) - 9*m(x)?\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 90*f - 1. Let j be r(1). Let b = j + -49. What is the highest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 375, 563, 749?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 9*i - 25. Solve 5*m + 6 = 3*h, 15 = -0*m - i*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(176) + sqrt(176) + -2 + (sqrt(176) - 4*2*sqrt(176)))**2 - sqrt(44)\/(sqrt(16)\/(sqrt(16)\/sqrt(4)))*-6.\nAnswer: 6*sqrt(11) + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(-2*sqrt(637) - sqrt(637)) + -1 - (1 + sqrt(637) + -1 - ((-2*sqrt(637) - sqrt(637)) + -3)))**2.\nAnswer: 1232*sqrt(13) + 308320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxlsxxxyxrxrsl. Give prob of sequence sly.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 773971 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136 - 136 - (-1 + 2 + -4 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.11, -1\/122, -2\/3, 2, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 8346*s - 5161180.\nAnswer: -2*(s + 755)*(s + 3418)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -51*u**2 - 9*u + 120. Let t(g) = 10*g**2 + 2*g - 25. What is 5*r(f) + 24*t(f)?\nAnswer: -15*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4179 + 6300. Does 47 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 5*v + 5. Suppose -b = b + u - 5, -4*b + 4*u + 40 = 0. Suppose b*h - 41 - 4 = 0. Let r be (h - 5) + (-20)\/2. Give f(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.43 - 0.57. Let q be (-3)\/30*(-260)\/8. Sort q, -3, f.\nAnswer: -3, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+-1.644\nAnswer: 3.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 5\/12*x**4 + 57\/4*x**5 + 1\/2*x**2 + 0*x**3 - 2 - 52*x. What is the third derivative of o(i) wrt i?\nAnswer: 1710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0726212 milligrams in kilograms?\nAnswer: 0.0000000726212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 + -22. Let j = -239.6 + z. Let w be (-1 + (-10)\/(-14))*1. Which is the biggest value? (a) w (b) 5 (c) 3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 11:23 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.5, -1, -5, -1\/5, 353?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826583 is divided by 119.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 4*j**3\/9 - 1100*j**2\/3 + 302500*j\/3 + 1040. Factor i(p).\nAnswer: 4*(p - 275)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1859088 divided by -1232\nAnswer: -1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwww when four letters picked without replacement from uwuwwwwuuuwuwu?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*l + 210*l - 7867 + 2467 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7 - 3 + 4 - 7 - 9*i**3 wrt i.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**3 + i**2 + i - 4. Let x(n) = 3*n**3 + n**2 + n - 5. Let d(a) = 4*c(a) - 5*x(a). Let o be d(0). What is the highest common factor of 81 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = -2*n + 28. Suppose n*a = -8*a + 30. Let v be (-10)\/6 + (-4)\/(-6). Sort v, -3, a in decreasing order.\nAnswer: a, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.111 (b) 3 (c) -5 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/265428 and -43\/84?\nAnswer: 1857996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -103. Let b = n + 553\/6. Calculate the common denominator of b and ((-1)\/14)\/((-1)\/(-103)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 14*j + 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(7*y + 11 - 11) to o + l*y and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1292\/3, -4, 0.4, 1\/4, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = b - 4*o, 2*o = 2*b - 6*b + 114. Calculate the smallest common multiple of b and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139 and 10?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -172*f**2 - f + 14. Let g(n) = -689*n**2 - 6*n + 60. Calculate -2*g(k) + 9*x(k).\nAnswer: -170*k**2 + 3*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6672 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)*r\/((r**(5\/4)\/r)\/r))**14 assuming r is positive.\nAnswer: r**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, b: 3, m: 6, t: 2, s: 1, i: 4}. What is prob of sequence mst?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*j + 4*y, 4*y - 10 = 2*j - 0*y. Let p = -5 + -24. Let f = 32 + p. Solve -3*x = j*a + 9, 2*x + 13 = -f*x - 3*a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1303 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 157, 1\/4, -2, -4, 0, 1\/2 in ascending order.\nAnswer: -4, -2, 0, 1\/4, 1\/2, 50, 157","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n - 6*n - 9*n + 41*n**4 wrt n.\nAnswer: 492*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3023894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0092*0.087993\nAnswer: 0.0008095356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -4, 4, 2 in increasing order.\nAnswer: -35, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2))**7)**(1\/32) assuming a is positive.\nAnswer: a**(21\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*9*(-160)\/(-60)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81767333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (44 - 18)*(2 - (-1 + 2)). Suppose -27*j = -c*j - 5. Solve -4*x + j*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f + 4 = 0. Let n be 1 - 2\/2*f. Suppose -3*u - 2*t - 11 = -4*u, n*u - 5*t - 19 = 0. Calculate the remainder when u is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175 + 177. Differentiate -3*m**3 + 822*m**y - 822*m**2 + 31 wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24\/7 - 27\/7*q + 3\/7*q**2 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**5\/50 + n**4\/15 + n**3\/3 - 6*n**2\/5 - 133*n - 62. Let g(p) be the first derivative of o(p). What is z in g(z) = 0?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-3 - -30 - 34)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2, -a + 0 + 8 = -4*v. Solve 5*t - 210*s + 212*s - 15 = a, 5*s - 21 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -4, -31, -40 in increasing order.\nAnswer: -40, -31, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45140924 by 4.\nAnswer: 11285231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + -1*(sqrt(605) + sqrt(605) + -1 + (sqrt(605) - 1*sqrt(605))))*-1*-3)**2.\nAnswer: 4752*sqrt(5) + 87444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - h - 3. Let p be v(-6). Let k be 135\/p - (2 + -1)\/(-5). Let a(n) = n. Let b be a(1). Solve 9 = -k*z - b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 549*p - 562*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54443, -54442, -54441, -54440, -54439?\n\"Answer: q - 54444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248084605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 3, c: 4, t: 1, z: 4}. Give prob of sequence jz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*j*m**2 - 2*j*o - 108*j - 63676*m**2*o**3 + 2*m**2 with respect to o.\nAnswer: -2*j - 191028*m**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/10*-5 + -4. Suppose -22 = -2*x + s*y, 3*x - 2*x - 3 = -3*y. Let k be (0\/(-1))\/((-18)\/x). Solve k = 3*l + 4*i + 1 - 6, 5*l - 3*i = -40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*k = -17, 35*k - 39*k = -2*r + 8. Solve g = -r*g - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2692808 and 1389?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 296, 1173, 2634, 4679, 7308, 10521?\n\"Answer: 292*y**2 + y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 6 = 40*o - 38*o, 4*z = 2*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 4*g - 10. Determine t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52019, -2, -3, 1 in descending order.\nAnswer: 1, -2, -3, -52019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 276*c**2 + 3039*c + 3318.\nAnswer: 3*(c - 79)*(c - 14)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umus when four letters picked without replacement from mhquoos?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010100 (base 2) in base 10?\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a + 75 = 0. Let w be (-3)\/18 - a\/(-6). Find the second derivative of -d**4 - 3*d + 4*d + w*d**4 wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 6 - 0. Let b(l) = -l + 1. Let c be b(j). Solve -c*u + 2*n - 17 = 0, 2*u - 5*u = -4*n + 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 17. Let r = 81 - w. What is the remainder when r is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:45 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.2 or -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 74*t**3 + 3*t**2 + 2*t + 1. Let p be v(-1). List the prime factors of 6*2\/p + (-6739)\/(-6).\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1924091442.\nAnswer: 2, 3, 7, 13, 391553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 55, 133, 253, 421, 643, 925?\n\"Answer: g**3 + 12*g**2 - g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 31 + 54 - 15*a.\nAnswer: -24*a + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -9*n**7\/280 - n**6\/8 + 2*n**5\/5 + 5*n**4\/2 + 2*n**3 - 830*n**2 - 3. Suppose f(r) = 0. Calculate r.\nAnswer: -2, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 262521?\nAnswer: 262525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18737*u + 780 = -18698*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 11*n - 6. Let z = 0 + 10. Let l be s(z). Let k = l + -25. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113530.\nAnswer: 2, 5, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.781885nm to kilometers.\nAnswer: 0.000000000007781885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 826 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**17)\/w)**40*w\/w**4*w\/((w**(-1\/8)\/w*w)\/w) assuming w is positive.\nAnswer: w**(-5127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**8\/560 - i**6\/120 - 2*i**3\/3 - 2*i**2. Let n(r) be the first derivative of j(r). Find the third derivative of n(k) wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112.7 + 19.2. Let y = n - -93. Which is the second biggest value? (a) 2 (b) 2\/21 (c) -1\/4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 348839906*c**3 + 1558*c**2 + 7906*c + 1.\nAnswer: 2093039436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 3*c**2 + 5. Let i be o(-2). Is i >= 2\/22379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5\/7 + 9*f**4\/7 - 3*f**3 - 3*f**2 + 54*f\/7 - 24\/7.\nAnswer: 3*(f - 1)**3*(f + 2)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y + 5*y - 3*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/6 - 37*k. Let b(f) = 3*f**2 - f + 1. Let c(t) = t - 1. Let x(u) = -2*b(u) - 2*c(u). Calculate z(x(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 164*n**3 - n**2 - 11*n. Let l(c) = -c**2. Calculate p(l(t)).\nAnswer: -984*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*c**3*o + 21078*c**3 - 2*c**2*o + c**2 + 666483*c*o - 4*c wrt c.\nAnswer: 600*o + 126468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsxxspd. What is prob of picking 2 s and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -289*d + 4272 - 15832. Which is greater: d or -12\/23?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -113736*s**2 + 32 + 113735*s**2 + 4*s + 24 in the form r + z*s + n*s**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*j + 19*j + 79*j + 54*j + 46*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6775, 13540, 20305, 27070, 33835?\n\"Answer: 6765*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 9*q + 15. Let u be x(4). Suppose 7 = -r + u. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 1099*m - 573*m - 3*m**2 - 526*m + 15*m**2.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/8)\/j**(-20))\/(j**(-19)\/(j*j**(1\/5))) assuming j is positive.\nAnswer: j**(1603\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2157542 is divided by 1202?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (13\/26)\/((6\/212)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Let v be ((-6)\/(-4))\/((-12)\/32). Which is the nearest to 0? (a) o (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -191a760 (base 12) to base 2.\nAnswer: -10100000101010010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-2)\/((-4)\/14). Let c = o + -4. Calculate the smallest common multiple of c and (96\/(-28))\/6 - 96\/(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {q: 13, h: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - 1) + 2 + (-16 + 15 - -4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f - 18. Let w(q) = -51764*q - 124. Let c be w(f). Round c to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5 = -55. Let x = b - -10. Calculate the lowest common multiple of 6 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 58?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 1:16 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 4:39 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.61 + -3.8. Let l = -0.01 + q. Put -5, -2, l in decreasing order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*f + 159*f - 70*f)*(-3*f + 3*f + f + (0 - 3 + 5)*(0*f + 4*f - 2*f))*(-3 + 5 - 3) in the form o*f**2 + z*f + r and give o.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0 - 20 = 0. Let w be (-2 + 1)\/(2\/(-12)). Suppose 5*t = 3*g + 25, -t + b = -w*t - 4*g. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3323023 + -1?\nAnswer: -3323030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 133487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5*sqrt(81)\/sqrt(3))\/(sqrt(9)*2*-6) + (sqrt(3300)*-1)\/((sqrt(176) - sqrt(11))*6)).\nAnswer: -5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*r + 17*r - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*n + 4, -c - 3*n = 4*c - 3. Suppose -2*p + c*g = 12, 7*p - 2*g = 4*p - 8. Is -5\/64 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - 3*p**4 + 0*p**4 + (0*p + 2*p**2 + 0*p)*(-4 + 4 - 3*p**2) + 3*p**4 + p**4 - 5*p**4.\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 10*u - u**2 + 6 + 5. Let z be g(9). Solve 2*b + 0*b = -a + 12, z*a + 5*b = 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9468 - -13958. What are the prime factors of y?\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -2*i**2 - 31*i - 46. Let b be y(-9). Sort b, -4, 1, -1 in descending order.\nAnswer: b, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 6*l. Suppose -3*g = -l*g - 6. Find m such that -3*m**g + 5*m**4 - 4*m**3 + 4*m**3 - 2*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4034, 5, 1 in increasing order.\nAnswer: -4034, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in centuries?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 467*n**2 - 689*n - 1626. Calculate q(232).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a factor of 669171039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l = 43 + 61. Calculate the least common multiple of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039036 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 f when four letters picked without replacement from jjjjjjjjjfjj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z**(-5)*z)\/z)\/(z\/z**5))**(3\/10))**(-11\/7))**(12\/7) assuming z is positive.\nAnswer: z**(198\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-9) + (-248)\/36 + 4416\/92.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97622563, 97622563, 97622565, 97622569, 97622575, 97622583?\nAnswer: 97622593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + -8 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 29 = 4*u - 31, -3*r + 3*u + 81 = 0. Calculate the smallest common multiple of 128 and r.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (447 + -337 + (-28 - 0)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, 13, 47?\n\"Answer: 34*l - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**2)**(1\/47)*(d*d\/d**8)\/(d\/(d**7*d)))\/((d**(-1))**(-42))**(-2\/15) assuming d is positive.\nAnswer: d**(1546\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - -3*(sqrt(76)*-1 - sqrt(76)) - (sqrt(76) - (-2*sqrt(76)*4 + sqrt(76))))\/((sqrt(288)*2)\/sqrt(8)))**2.\nAnswer: 3211\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p**3 + 4*p**2 + 8*p - 16. Let i(j) = 39*j**3 - 25*j**2 - 39*j + 80. Let n(s) = -2*i(s) - 11*u(s). What is n(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 7, 2\/5, -30, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 16944.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from xosovoxxoxxxxsxkvxs?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125437 is divided by 865.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00036486486 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2*b + 7 + 9, 0 = -2*u - 3*b. Let d(n) = 11 + n + 1 + 27 - 10. Calculate the remainder when 43 is divided by d(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1685403.\nAnswer: 3, 401, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2, 4, 76.\nAnswer: -2, -1, 3, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 335 - 547 = 0. Does 60 divide 822\/1 - 9\/(z\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477\/39 + 4\/(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864445707?\nAnswer: 3, 5449, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 + -6?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*((sqrt(7) + 1 + 5)*-1 - sqrt(84)\/(sqrt(6)\/sqrt(2))))**2*4.\nAnswer: 5184*sqrt(7) + 14261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -991.8 - -992. Sort 0.5, z, -34\/105, 0.\nAnswer: -34\/105, 0, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-4)*(-6)\/(-9)*-2. Solve 0 = 8*l - 4*l + z*v, 3*v = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 3*c + 15, 55*c - 25 = 3*k + 60*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*b**4 + b**3 + b**2*l - 639*b*l wrt b.\nAnswer: 996*b**2 + 6*b + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 9*c**5\/2 + 16157679*c**4\/2 - 35008360*c**3 + 52063740*c**2 - 32315432*c + 7181208 = 0?\nAnswer: -1795302, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/23, -4\/15, 2, 229, -42 in decreasing order.\nAnswer: 229, 2, -3\/23, -4\/15, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2114, 0.7, 5, -7, -2\/21?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*u**3 - 59*u**3 - 124*u - 61*u**3 - u**2 + (5*u + u - 4*u)*(u**2 + u**2 - u**2) in the form l*u**2 + m + b*u + o*u**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + 4 + ((1*sqrt(12) - sqrt(12))\/sqrt(6) - (sqrt(2) + (sqrt(2) - sqrt(12)\/sqrt(150))))*2 + 2))**2.\nAnswer: -180*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(6\/13)\/(w*w\/w**(-1\/10))*(w\/(w\/w**(5\/2)))\/(w*w**(-5\/3)) assuming w is positive.\nAnswer: w**(298\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -571a50 (base 12) in base 9?\nAnswer: -2552176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + z)*(-2*z**2 + 0*z**2 + 3*z**2) + (9*z - 4*z - z)*(-710*z + 710*z + 273*z**2).\nAnswer: 1090*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4572774 divided by 2286387\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(275) + 0.\nAnswer: 1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 + (-90)\/(-8). Let l = -8 + j. What is the third derivative of -2*h**3 - 2*h**2 - 2*h**l + h**3 wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -q + 5*l + 21, -3*q - 9 = 5*l. Suppose -t - q*t = -96. Let i = -21 + t. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 278 - 278 + 248*f**4 + (0 + 2*f**3 + 0)*(0*f + 2*f - 3*f) as a*f**4 + j*f + w*f**3 + o + x*f**2 and give a.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 509474, 509491, 509532, 509609, 509734, 509919?\nAnswer: 510176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 800023457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 77?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11186016 divided by 2?\nAnswer: 5593008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 252 - 786. Is 34 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1005187999 >= -1005187998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.02, -16 in ascending order.\nAnswer: -16, 0.02, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5e7 - d?\nAnswer: 5d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g**2 + 3*g + 23. Let x(c) = -4*c**2 - c - 8. Let r(o) = 6*m(o) + 17*x(o). Suppose -12*v - 8 = -13*v. Suppose -8 = 4*s - v*s. Give r(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0 + k**2 + 2 + 1 + 4*k. Let n(i) = i**2 - 4*i - 2. Let a be n(3). Let d be m(a). Solve -u = u + d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -52 - 2*r + 0 + 7. Let o be k(-23). Let d be (o*40)\/(-4)*10*45800. Round d to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 6:36 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -142 divided by 336\nAnswer: -71\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-21) + (-1)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(7))**2*4 + (5*sqrt(28))\/sqrt(4).\nAnswer: 5*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14935846.\nAnswer: 2, 211, 35393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 321679160 to the nearest 100000.\nAnswer: 321700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17043\/(-114)*308\/1001?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 209\/52601640 and 107\/10920.\nAnswer: 52601640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*m = 15, -193 + 189 = 2*i - m. Is i > 1\/7429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (13 + -18 - (8 - 17)) + 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/112 - (-32)\/14. What is the nearest to f in -1\/13, 3, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*x = 1535 - 1936 + 1307 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.554674526 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from xuuli.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 5*q**4\/24 - 5*q**3\/3 + 81*q**2. Let k(w) = -4*w + 10. Give -5*a(j) - 6*k(j).\nAnswer: -j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.1 (b) -0.5 (c) -3 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 11. Let y = 4 - d. Let i be (y - 9)*2\/8. Solve 0*v + i*v = 4*l + 22, 3*l = 3*v - 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Let r = p + -2. Let n = r - 2.5. Which is the second biggest value? (a) 5 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4074 + -6038. Let o = 6133 + p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 423417.5 kilometers?\nAnswer: 423417500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1568351\/400 + -3921. What is the common denominator of -79\/20 and w?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25596209383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*o = -19, -2*x - 31 = 2*o + 3*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*t + 2*h, -3*t + 2*h = 7 - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.12 + 10.7. Let a = -0.41457 - s. What is a rounded to four dps?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140880 and 136320?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**5 + f**4 + f**2 - f + 1. Let l(s) = 8*s**5 + 8*s**4 + 2*s**3 - 4*s**2 + 2*s - 2. Let n(o) = -2*l(o) - 4*z(o). Factor n(q).\nAnswer: -4*q**2*(q + 1)**2*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00981 minus -0.4?\nAnswer: 0.40981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaejjajajjaajjjjjja. Give prob of picking 1 j, 1 e, and 1 a.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 - -77.8. What is the closest to p in -2\/7, -5, 2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 - (-42 + 11 + 20)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 12*s - 7*s**2 - 28*s - 14*s - 1 - 27*s. Let b be r(-8). Let a be 1\/(-2) + 5\/2. Solve 0 = -2*q - 3*v, 2*q = b*q + a*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((0 - 4) + 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.14 - -0.56. Let s = c + 8.9. What is s rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = -58*d + 7293. What is the greatest common divisor of 34 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 311292771 and 24?\nAnswer: 2490342168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:46 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -10*j - 40. Solve 221 - 213 = -j*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11395.5 and -4.\nAnswer: 45582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.3211379 - 12.\nAnswer: 27.3211379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29380744 and 10.\nAnswer: 146903720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -496*-11\nAnswer: 5456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16 - ((-9)\/6 - 26\/(-4)). Solve 2*j = -u*j - 39 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -18. Let k be ((-24)\/9)\/(6\/d). Let f = -0.03 - -13.03. Which is the third biggest value? (a) f (b) k (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffc. Give prob of picking 1 c and 1 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 79\/2 of a microgram?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98.4 + 96. Let y = d - -2.2. Which is the nearest to 0? (a) -0.5 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 30 + 24 + 177*x - 12*x - 43. Is u(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2339856 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/320*-29 - 2\/8. Let t(s) be the first derivative of 0*s - 11\/2*s**2 + a*s**5 + 0*s**3 + 0*s**4 + 9. Find the second derivative of t(x) wrt x.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2 = -18. Suppose -m = -2*d + 35. Solve -d = 7*a - 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t**2 + 2*t. Let w(m) = 101*m + 32. Let h(q) = 67*q + 35. Let u(x) = -3*h(x) + 2*w(x). What is u(z(v))?\nAnswer: 15*v**2 + 2*v - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 302 and 29747?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 7. Let s be (-1)\/n - (-20)\/84. Let t be 4\/14 + (-16)\/105. Put s, 2, t in decreasing order.\nAnswer: 2, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(20)*-6)\/sqrt(4))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**3 + 459052*n**2 - 918088*n = 0.\nAnswer: 0, 2, 114761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19496 by -24.\nAnswer: -2437\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32102 - -3203301?\nAnswer: 3302003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 55*r**3\/6 + 2*r. Suppose 2 + 1 = 3*a. Is o(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4477 + 8709. Suppose 4*i - 4*t = 3360, -8*i = -13*i - 3*t + p. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000072046582 to 7 decimal places.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 852348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2\/5 (b) 2\/15 (c) -3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 2. Let i(g) = 66*g**2 + 3*g. Let x(a) = 530*a**2 + 25*a. Let t(n) = 50*i(n) - 6*x(n). Determine l(t(h)).\nAnswer: 360*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -1\/5, -2\/7, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359 = 55*r - 2501. Calculate the remainder when 47 is divided by ((-168)\/(-112))\/(2\/r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5227 - 5224. Solve -51*a + 49*a + 5 = f*i, i - 5 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18082 + 18087. Solve 0 = d*i + 2*f + 13, -9*f = -3*i - 10*f - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**16*f\/f**(1\/3))**16)**(8\/9))**(-16) assuming f is positive.\nAnswer: f**(88064\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 3480649.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - 17 - -6) + -4?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2989\/99 less than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1157, -1600, -6205, -12664, -20983, -31168?\n\"Answer: -t**3 - 918*t**2 + 4*t + 2072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.112254 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/5)*h\/(h\/(h\/(h\/h**(1\/3)*h)))*(h*h**6*h)\/h*h*h**(-1\/3)*h*h**(-1\/2)\/(h*h**(-6)\/h*h*h)*(h**4*h)\/h*h\/((h*h**9)\/h) assuming h is positive.\nAnswer: h**(79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddptdddud. What is prob of picking 1 d and 1 u?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/5)\/(2\/(-5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 7. Let v be (25\/10)\/((-8)\/(-64)). Let i = c + v. Solve 2*n = -l - i, 0*n + 2*l + 2 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 + 15 + (33 - 72)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*q + 3314113, z - 43*q + 45*q = 662801. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c**2 - 3*c**3 + 10*c**2 + (-2*c**2 - c**2 + 4*c**2)*(35*c - 11*c + 20*c) as v + x*c**2 + f*c**3 + u*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - -0.02. Let w = j + -3.1. Let k = 29 + -34. Which is the smallest value? (a) -0.1 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(6\/11)*f\/f**(-2\/15) assuming f is positive.\nAnswer: f**(262\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eutuueeuuutvejtuuuet. Give prob of sequence etvj.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 41867385\/(-127179) + 4\/6. Let g = a - 674\/1087. Let n = g + 329. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(-7 + 2 - 3)*(3 - 5 + 3 + (-3 + 5 - 4)*(2 - 1 + 1) + 1 - 2 - 1)*(-4*c - 6*c + 3*c)*(-7*c + 3*c + 3*c) to m*c + x*c**2 + g and give x.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -42 (b) -3 (c) 0.2 (d) 3\/5 (e) 246 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(2\/(-3)) + (13 - 9). Suppose k = 4*q - 11. Let l(a) = -a**3 + 3*a**2 + 3*a - 1. Calculate l(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 38025*h**4\/2 + 51285*h**3 + 53829*h**2\/2 + 792*h + 6 = 0.\nAnswer: -2, -2\/3, -1\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11021121 (base 3) to base 7.\nAnswer: -12046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*s + 395, 2*z + 73 = -s + 249. Calculate the highest common factor of 50575 and z.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v + 25. What is g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 196316 - 87?\nAnswer: 19625c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 + 23*m**2 - 21)*(-4 + 1 + 1) + 24*m**2 - 7*m**2 + 19*m**2 + (-1 + 3 + 0)*(3*m + 3*m - 4*m)*(2*m + 2*m + 0*m) as w*m**2 + a*m + v and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 22*w. Let c(a) = 18*a**2 - 20*a**2 - 3*a + 3*a. Determine t(c(k)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 3*v - 5. Let j be s(-1). Which is smaller: j or -2\/453?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 16 + 93 = 0. Let b = j + 32. Let y = b - -49. Solve 0 = 4*r + l + 24, 14 = -2*r - y*l + 3*l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 35) + -5 - -53\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 216?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -545 - 20?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962552.\nAnswer: 2, 120319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.1 (c) -6 (d) -1\/6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.6. Let j = 0.743 + -3.773. Let d = -0.03 - j. What is the biggest value in d, f, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 1:39 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6885 divided by -2\nAnswer: 6885\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9567 + (15\/20)\/((-15)\/(-40)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and 0.16.\nAnswer: -0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 27*o - 25*o + 2 - 4*o**2 + o**2. Give p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -367, -464, -469, -352, -83, 368, 1031?\nAnswer: 1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4831148 is divided by 147.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -1\/4, -0.2 in increasing order.\nAnswer: -31, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68444 and -37.\nAnswer: 2532428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/(-8) - (-460)\/60. Sort 3, 66, c in decreasing order.\nAnswer: 66, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/40 and -71\/177400.\nAnswer: 177400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b - 20 = 0. Solve -b = 4*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2. Let y(q) be the first derivative of 1 + 0*q + 1\/2*q**2 + 0*q**3 - 1\/24*q**4. Let o(f) be the second derivative of y(f). Give o(d(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*sqrt(612) + -5)**2.\nAnswer: -420*sqrt(17) + 15349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32053854918*i + 16026927462*i + 16026927462*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26743 = -3*k + 2*c + 69038, k - 31916 = -3*c. Does 223 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 32 + (-156 - -140).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1193 (base 16) to base 15\nAnswer: -14ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 4*y - 20 = 0. Let f(c) = c**5 + 16*c + 2. Let v(a) = -a**5 + 2*a - 1. Let x(m) = y*v(m) - f(m). What is the second derivative of x(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-7) + ((-54)\/42 - -1). Let t = -1 + 4. Suppose -x*v = -w - 0*v + 17, -5*w = t*v - 98. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -4*l**5\/15 - l**4\/24 - l**3\/6 + 40*l**2. Let f = -4 + -7. Let o(i) = 3*i**2. What is f*o(d) - 2*b(d)?\nAnswer: -d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-3) - (-113)\/12*4.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1790628 and -0.2.\nAnswer: 358125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6*j = -j - 98, 2*j + 109 = 3*g. Let y = -269 + 279. What is the remainder when g is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560948 is divided by 25496?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 4*u, -x + 5*u + 2 + 10 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (236 - 234)\/(-1 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133542583 is divided by 317?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 86.78447 centuries?\nAnswer: 867.8447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 4*o**2 + o + 4. Suppose 2 = -2*v + 3*y, -15 = 3*v + y - 1. Let k be n(v). Which is smaller: 2\/17 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7120 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.260045 centimeters to micrometers.\nAnswer: 2600.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*t + 69, 48 = -2*t + 5*z - z. Let k = -7 - t. What is the greatest common factor of 121 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 8 - (-16 - (-6 - 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*h + 3*w + 9, -4*h - 4*w = -44. Suppose 0*j + h = 3*j. Suppose 7*g = j*g + 40. What is the smallest common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89\/((-4361)\/140))\/(3\/(21\/2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39 and 754.5?\nAnswer: 29425.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2450806625?\nAnswer: 5, 19606453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 5, -3\/4, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 11*h - 5. What are the prime factors of r(4)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (12630\/75)\/(2\/50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5810218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 minus 132960964.8?\nAnswer: -132960964.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 116*h - 10. Let a be j(-2). Let i = 260 + a. What is the highest common factor of 126 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, n: 1, t: 4}. What is prob of picking 1 t and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 23. Let t = m + 20. Solve r + 4*r = -t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1644867, 1644915, 1644963, 1645011, 1645059, 1645107?\nAnswer: 1645155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48627723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172398 and 293820?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - 1. Let u be w(3). Let c = u + -6. Solve -g = -c, 0*y - 3*g = -4*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 divided by -6269?\nAnswer: 177\/6269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 12:32 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/105*55\/33?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1453 or 1452?\nAnswer: 1453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67503.\nAnswer: 3, 22501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 29220.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72197137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 90223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 13148?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z. Let q(d) = -3*d + 2. Let o(x) = 48*x - 33. Let h(f) = 4*o(f) + 66*q(f). Give 3*h(i) + 8*v(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1910*v + 7 = 3*o + 1906*v, 41*o - 3*v = -111 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 12 + 5 - r**2 + 4 + 1 + 0*r. Calculate i(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1971 divide 3252150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1416, 1437, 1452, 1455, 1440, 1401, 1332?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by 545630?\nAnswer: -37\/545630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*s**2 - 177953*i**2*s - i*s**2 - 28*i - 5212 wrt i.\nAnswer: 4*s**2 - 355906*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**3 - 2*k**2 + 7*k + 7. Let b be (7\/4)\/((-131)\/524). Let s(z) = -2*z**3 - z**2 + 5*z + 5. What is b*s(n) + 5*j(n)?\nAnswer: -n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(-5)*n)*n**4*(n\/n**(-3))\/(n\/(n*n**(-2)*n)))\/((n**(2\/3))**(-50)\/(n**(1\/4)\/n)**(-1\/4)) assuming n is positive.\nAnswer: n**(2233\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 47278556391 and 9951.\nAnswer: 47278566342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccoococcoo. Give prob of picking 2 c and 2 o.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466955 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: Evaluate -2 + -1 + 0 + 23 + -27 + 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 a when three letters picked without replacement from {h: 4, x: 4, a: 1, z: 7, d: 1}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 7. Let d be b(5). Suppose 2*t + 0*t = 5*x + 191, -d*t = -3*x - 193. Let w = t - 688\/7. Sort 0.4, w, -0.4.\nAnswer: -0.4, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*m + 37*m - 3946 = -12182 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 1:22 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5509 divided by 5.\nAnswer: 5509\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11411 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -42. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 66\/(-4)*(1 - -1). Suppose l - 4 = 4*k + 5*l, -5*l - 5 = 3*k. What is the tens digit of -3*(k + z\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*a**3 + 8*a**3 + 28*a**3 + 55*a to m*a**2 + s*a**3 + v + t*a and give t.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - r - 8 = 3, 18 = -5*a - 2*r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 5*x**2 - 4*x. Let s be v(4). Suppose -2 = -3*t - 14, -t - 8 = -4*d. Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 2. Let f be w(4). Let g(t) = -f + 0*t - 2*t + 2. Let k be g(-10). What is the greatest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 3*d**2 - 4. Let n be c(-2). Let b be n + (-3)\/(-1) - 2909999. Let y be 4 - 7\/(7\/b). What is y rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24555, 98083, 220625, 392181, 612751, 882335?\n\"Answer: 24507*v**2 + 7*v + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*c + 90 = 0, 3*l + 12*c = 9*c + 63. Solve 35*q + 223 = -l for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkdkkddkkk. What is prob of sequence kkkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) - ((-20)\/(-70) + -10). Solve 9*b - 11*b = -h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - o**2 + 2*o + 4728. Let b be y(0). Suppose -5*g - b = -13*g. What are the prime factors of g?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -1, -2, 1058 in ascending order.\nAnswer: -4, -2, -1, 5, 1058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 8*v**2 - 5*v. Let r(i) = -4*i**2 - 3*i. Let o(n) = -3*k(n) + 5*r(n). What is the third derivative of o(f) wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/13)\/v*v)\/v)\/((v**(1\/3)\/v)\/v)*v**(-3\/2)*v\/((v\/v**(2\/17))\/v) assuming v is positive.\nAnswer: v**(173\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 215, 331, 447, 563, 679?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63.3 + 5.3. Let n = k + 57.9. Which is the fourth smallest value? (a) -4 (b) n (c) 3 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16*((-4)\/2 - -1). Let j be (-23)\/(-4) - 4\/o. Let t be 219\/j*178 + 3. Round t to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.29229 nanometers?\nAnswer: 0.00000229229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -27 - 25. Suppose 2*k - 3*m + 8 = -m, -5*m + d = k. Sort -5, 5, k in decreasing order.\nAnswer: 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21386800 to the nearest 10000.\nAnswer: -21390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 3 (c) 41 (d) 0.5 (e) -0.168 (f) 28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10293358 is divided by 3712.\nAnswer: 3694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -543640 by 108728.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7375 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*m + 108*m + 300 = 0. Solve 31*p - m = 41*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41800982 is divided by 1441413.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-37)\/y*y))\/(y*y**(20\/7))*(y**(-14)\/y*y)**(-35\/6) assuming y is positive.\nAnswer: y**(2453\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 414 (base 5) to base 8\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 6*p**2 + 20*p.\nAnswer: -2*p*(p - 2)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10 + 9*y + 7*y - 4*y - 2*y**2 + y**2. Let d be m(13). Put d, 5, -1 in descending order.\nAnswer: 5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 1:39 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8591395?\nAnswer: 5, 29, 193, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 889 divide 877654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.6 - -6.8. Let x = 0.94 - o. Let t = -0.021 + x. What is t rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -1. Let x = i - 4. List the prime factors of (-3 - x) + 9 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**3\/3 + 10*d**2 - d. What is the units digit of t(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1205\/4 + 302. Sort i, -5\/3, 27 in decreasing order.\nAnswer: 27, i, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.062 + -0.262. Let x = 22 - s. Which is the third smallest value? (a) 0.4 (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 14 = 7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1097, -1133, -1169?\n\"Answer: -36*z - 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (6 + -8 - -12) + -9 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.16. Let b = -5.04 + z. Let m = -0.26 + -0.04. What is the nearest to 2 in m, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -5 + (-26)\/(-2). Suppose -q = -5*q + b. Suppose -7*j + q*j = 20. Sort 1, 3, j in descending order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 31 = c, -2*m = 2*c - 62. Suppose 5*k - 81 = -c. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -689, 1071, 3, 0 in decreasing order.\nAnswer: 1071, 3, 0, -689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - t. Let p be o(-1). Let b = 11 - 10. What is the greatest common divisor of p and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 9*j - 4000. What is j rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490656 by 163552.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p*p\/(p**(-5\/3)*p*p)*p)*p))\/(p\/(p**(-5)*p)*p)*(p\/(p\/((((p*p*p*p*p\/(p\/(p\/(p*p**(-1\/3)*p)))*p)\/p)\/p)\/p)))\/p**(2\/7) assuming p is positive.\nAnswer: p**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*y = -4*j + 16, 0 = 2*j + 2*y + 4. Suppose -99 = -c + 4*i, 5*c - c = -j*i + 377. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4 - 10*q**3\/3 + 10*q**2 + 36*q. Let o(g) = 2*g**2 - g + 1. Let v(p) = n(p) - 4*o(p). Solve v(w) = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 3445 divide 2103750648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-12 - 2) - (-5 - -5 - (-49 + 65)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*21\/(-28)*1\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4 - 2924*p**3*w + p*w - 23*p + 2*w + 7 wrt p.\nAnswer: 12*p**2 - 17544*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1171*y = 229 - 98 - 1302 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.32705 to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-60)\/9)\/5*105. What is the common denominator of 123\/10 and (-2)\/8 - (-777)\/u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133004 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 4*f - 3. Let m be i(2). Let g be (-6)\/4*6\/(-27)*m. Let t = -20762\/29 + 716. Is g greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33303 + 33307 + 14*l**3 + 33306 - 99916.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 18*y**2 + 21*y + 51. Let m(x) = -10*x**2 - 10*x - 28. Determine -11*m(c) - 6*n(c).\nAnswer: 2*c**2 - 16*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 0 - (0 + 1). Suppose x + 2 = 2*x. Suppose 8*v = 5*l + z*v - 35, -3*l + 18 = -x*v. Solve 0 = l*f + 3 - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 9) in base 11?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/99 + -3257\/990. Let t = r + 383\/110. Determine z so that t + 0*z - 2\/11*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/3, -30.6, 392, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 5 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36302 is divided by 7259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrwwwrwwwwrbbwrrdrwr. What is prob of sequence ddw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - 2*k - 2. Let y be r(7). Suppose 3*a - y = -11. What is the highest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3 + 51547933*b**2 - 156025827*b.\nAnswer: -12*b + 103095866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/(-9)*(-693)\/(-462)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {v: 3, u: 4, g: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1318 - 4808?\nAnswer: -3490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36051022?\nAnswer: 2, 7, 2575073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28183.4 years in centuries?\nAnswer: 281.834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 28*j**2 + 24*j.\nAnswer: 4*j*(j - 6)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xllxlllx. What is prob of picking 1 l and 1 x?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 2*y**3\/3 + y**2 - 120*y. Give z(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -35*m - 227. What are the prime factors of f(-44)?\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/32 and -61\/324.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99128320 and 5575968.\nAnswer: 892154880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 912.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 29384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5568 and 10.\nAnswer: 27840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2 and -63\/676?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-27)\/24))\/(-10*63\/405)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4946 rounded to 2 dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -31*u - 490. Determine a(-17).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 2*j + 0*j + (-3 + 5 + 20)*(27 - 2*j - 27).\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 33. Suppose a + 18 = -4*x, -3*x - 12 = 4*a - 2*x. Is a at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3755369 - 121.\nAnswer: -3755490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = 2*t. Let a(s) = -2*s**3 + 3*s**2 + 6*s. Let q(l) = -l + 5*l - 5*l - l**2 + l**3. Let x(n) = t*q(n) + a(n). What is x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (53 + -27 - 19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(128) + sqrt(128) + sqrt(128)*2*4)*3 - (sqrt(128) + -1 + -2*sqrt(128) + (-6*(3 + sqrt(128)) - sqrt(128)))) + 2)**2.\nAnswer: 22848*sqrt(2) + 592313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -108. What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1155551, -1155562, -1155573, -1155584, -1155595, -1155606?\nAnswer: -1155617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 13, 26, 55, 106, 185, 298, 451?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110839 and 13497?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26.8, 0, -9.1099, -0.4 in ascending order.\nAnswer: -9.1099, -0.4, 0, 26.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -242, -501, -764, -1025, -1278, -1517, -1736?\n\"Answer: n**3 - 8*n**2 - 242*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3867*r**2 + 7875*r?\nAnswer: -7734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -312.2351.\nAnswer: 2185.6457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/12*-2 + 3. Which is greater: a or 32\/7?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -46*q**2 - 8799*q + 6298. Give f(-192).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 81 + 93. Suppose 0 = v*q - 16, 6 = -3*t + 5*q - 8. Solve g - 6*g = -t*i - 30, 0 = -4*g + 3*i + 31 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*a - i + 20, -3*a - 3*i = -9. Solve u + 4*u = a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/5, 0, -1, -1.3, 7, 104\/7 in increasing order.\nAnswer: -1.3, -1, 0, 7\/5, 7, 104\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4*0)\/1. Suppose -4*w + 0*w - 4 = v, 2*w = -5*n - 2. Let p be -2 + (-15)\/(-3) + 2 + n. What is the greatest common divisor of 45 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -498, 2, -9.7, 0.1, 6, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00447351861 to 4 dps.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -23*a - 121. Let h be q(24). Let t = 148 - h. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1016*i**2 + 2070*i**2 - 1033*i**2.\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 2. Let j be o(-14). Suppose -5*s + j = -2*s. Solve s*m = -0*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + n**2 - n**2 + 5*n**2. Let c(t) = -17*t + 11*t + 16*t. What is v(c(y))?\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n + 9. Let u be z(2). Let x = u + 14. Solve -m - x*t = 11, 2*t - 14 = -5*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4 - 0. Let r = -2 - -4. Suppose -2*i = -0*i - r. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -29, -39, -45, -47, -45?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 175\/(-42) + 36\/4?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -324313\/6 = -54052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -24. What is the remainder when 112\/52 - -1 - 20\/130 is divided by 4*-1 + -16 + w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -257*t**6\/40 - t**5\/30 + 268*t**4\/3 + 3*t**2 - 204*t. What is the third derivative of l(p) wrt p?\nAnswer: -4626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 22*h**3 + 4*h**2 + 329*h - 331. Determine i(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 0*x**4 + 0*x + 0*x**3 - 120 + 129\/2*x**2 - 37*x**5. What is the second derivative of w(q) wrt q?\nAnswer: -2220*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - d - 1. Let c(p) = 4*p**3 - 3*p**2 + 6*p + 8. Let x(j) = -c(j) - 5*y(j). Calculate x(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*i + 6 = 0, 2*i + 111 - 117 = -5*j. Solve 4*c + 19*c = j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(20 - 4785\/232)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673400 is divided by 2695.\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 435050765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106015 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41015.81 millimeters in centimeters?\nAnswer: 4101.581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - d**3 - 2*d**3 - d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, i: 2, r: 8}. Give prob of sequence rfi.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1202 + 31?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 10:45 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 - -0.07. What is the nearest to 0 in 0, q, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/5)\/(39\/(-130)). Let j(t) = -2*t - 18. Give j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 287 = -209. Are q and 61 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5805 + -5804.9. Let t = 12 + -12.06. Sort q, 0.5, t, -2\/21 in ascending order.\nAnswer: -2\/21, t, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/(-51)*(2605 - (1 - 3)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiaiaiiaiiai. What is prob of picking 2 a?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7789520 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -63 - 55 - 73*o + 118. Let g(k) = k**2. Determine g(v(h)).\nAnswer: 5329*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**6*s)\/s*s*((s*((s*s**(-4))\/s*s)\/s)\/s*s)\/s)\/(s**(-2\/17)\/s**2))**(2\/133) assuming s is positive.\nAnswer: s**(-200\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 - 84*u**2 - 406*u - 308. Let d(r) = r**3 + 28*r**2 + 135*r + 102. Let n(o) = -3*a(o) - 8*d(o). Suppose n(v) = 0. Calculate v.\nAnswer: -3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.76846g in tonnes?\nAnswer: 0.00000776846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*v - m, 189 = 29*v - 50*v + 5*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 63, 0.2, -2\/11, -6.2, -587 in decreasing order.\nAnswer: 63, 3, 0.2, -2\/11, -6.2, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 + 36285075*f**3 + 32246292*f**2.\nAnswer: 120*f**2 + 217710450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0639 * 47.\nAnswer: -3.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1821\nAnswer: 1\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 42. Sort p, 3, 4, -2.\nAnswer: -2, p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899 a factor of 2388335610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36991 - -36991.0000001804. Round y to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 13 + 4 - 3*h - h - 3*h - 2. Let c(d) = 2*d. What is c(w(j))?\nAnswer: -14*j + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 - 5*w. Let c be u(-6). Suppose r - 5*s = c - 9, 3*r = -2*s + 29. Let z = 3423\/298 - -2\/149. Do z and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.1, -5\/6, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-141)\/(-45684)*-54)\/((-8)\/(-66))?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwpwdwwt. Give prob of picking 1 d and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 164607569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1225, -2192, -3217, -4300?\nAnswer: -5441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-1 + 0)\/1. Does 6 divide (0 - 1)\/(v\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(3 - 1 - 3)*(s**2 - s + s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2 rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*f. Suppose 2*h + 4*g + 0*g + 10 = 0, 14 = -4*h - f*g. Let r = h - -17. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -325 - -465. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3, 3*d - d + 14 = -2*z. Let o = 11 + d. Suppose -5*j = -5*p - 5, -4*j + 2*j = 3*p - 7. Solve s - 11 = 4*b, -5*s + 3 + p = -o*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 0.5 (c) -3 (d) 11372\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(2\/19)*q)\/(q*q*q*q**(-4\/3)\/q))\/((q*q**5)\/q*(q*q**(2\/7)*q)\/q))**(-1\/25) assuming q is positive.\nAnswer: q**(2018\/9975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 15. Let i be n(-15). Suppose 4*q + 2*h + 18 = i, -5*h = 3*q + q + 21. List the prime factors of (35 - (6 - 2)) + q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 420322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324\/7 - 234\/7*j + 48\/7*j**2 - 2\/7*j**3.\nAnswer: -2*(j - 18)*(j - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - ((-3704)\/32)\/(3\/276) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 35*c**2 + 77*c - 34. Let m be f(-32). Let q = 588 - m. Calculate the remainder when 264 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 3 = -8*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -483\/52 and -37\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/5 of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053 is divided by 250?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -99 (b) 3\/2 (c) 22 (d) 6 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 520184 + -306908679\/590. Calculate the common denominator of -113\/14 and z.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 8*d - 2*h = 0, 4*d - 5*h = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1353.7 (b) -0.5 (c) 5 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29897399?\nAnswer: 7, 181, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b + 5*m - 1204, -4*m + 602 = b. Suppose 4*y - 46 = b. Calculate the highest common factor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*p = 12, 0 = n + 2*p - 0 + 2. Suppose -680*c + 678*c = -4. Solve -c*d + n = 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3, h - 2*w + 3 = -3. Solve -2*g - 3*b + 7 = 0, g = -h*g + 3*b - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1. Let b(k) = 2*k**2 + 11*k + 9. Let q be b(-7). Let o be (-32)\/10 - (-6)\/q. Let h(g) = -10*g - 1 + 11*g + 1. Calculate o*h(a) + s(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r = 122 - 32 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -3298?\nAnswer: 1649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -355*f**2*s**3 + 20*f**2*s + s**3 + 3*s**2 + 974 wrt f?\nAnswer: -710*f*s**3 + 40*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 546243672 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 247414 = 5*n - 42149, 4*n - 3*t - 231651 = 0. What is the third derivative of n*v + 215*v**3 - 4*v**2 - 10 - 57912*v wrt v?\nAnswer: 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -2, -1, 87.\nAnswer: -2, -1, 43, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from cvcccvc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/7 (b) 2\/5 (c) -0.0261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*w - 198 = 0, 13*z - 16*z + 110 = 2*w for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) - (-14)\/4. Suppose 0 = -4*t + 2*i + 16, 2 + 2 = t + 3*i. Suppose -q - t = -c*q. Solve -q*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1015\/(-812))\/(125\/6900).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-50) - (-201)\/(-285)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 67. Which is bigger: f or 2\/99?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*c = -119*c - 2. Let o = 2 - 1. Sort -4, c, o.\nAnswer: -4, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5855 + 8573. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i - 15 = 0. Let q be (-2 + 1)*i\/3*31. Let f(t) = 17*t**2 - 2*t - 2. Let x be f(2). What is the highest common factor of x and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 3*j + 7. Let y be l(-5). Which is smaller: -5 or y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - m + 656 = 628, -3*r = 3*m - 30. Solve 4*h - r = h + 3*z, z = 2*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 12 - 7*z**3 + z**3 + 5*z**3 + 4*z.\nAnswer: -(z - 3)*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) -0.4 (b) -2\/11 (c) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4255098 to the power of 1\/2, to the nearest integer?\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 44208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 189391*j**3 - 32*j - 1229.\nAnswer: 1136346*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from {f: 5, a: 1, i: 2, g: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4390*t + 74554. Determine l(17).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*c = -34 + 38, 0 = -3*p + 4*c - 44. Let m be (-2 - 18\/p) + 15\/4. Let j = 8 + -5. Solve m = u + 2*t, 0 = u + j*t - 0 - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 - 92. Let a(d) = -x*d - 4 + 8 - 2 + 2*d**2 + 0. Suppose -2*s = s - 12. What is a(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.716378 microseconds in minutes?\nAnswer: 0.0000000286063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i - 42*i - 50 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p = -r + 72, 338*p - 3*r - 4 = 337*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 5*h**2 + 2*h + 6. Suppose 0 = -q - q + 16. Let f be 4*4\/q + -7. Determine j(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -32*s. Let c(g) = 1460*g**2 + 2*g. Give p(c(x)).\nAnswer: -46720*x**2 - 64*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, 4, -200?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2) - 1) + -10. Let h be ((-40)\/m)\/(4\/6). Solve 2*j - 6 = 0, -3*l + h*j = -2*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-1 + -1 + 1). Suppose 4*q - 72 = 4*i, q + 0*i - 3*i - 22 = s. Let -7*h**5 - q*h**4 + h**5 + h**2 - 14*h**3 - 5*h**2 = 0. What is h?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1215 (base 7) to base 10.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-2))\/(-5*(-30)\/(-50)). What is the third smallest value in 0.1, 3, i, 2\/435?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/13 + 53\/130. Calculate the common denominator of -13\/10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40c2 + -bdd?\nAnswer: 33d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tooeoeeototee. What is prob of sequence teto?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 5799?\nAnswer: 28995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 69896.5 micrograms?\nAnswer: 0.0000000698965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine sixteenths of a day?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 1. Let s(v) = v + 1. Let t(f) = -8*f**2 + 3*f - 2. Let h(y) = -4*s(y) + t(y). Give 6*d(q) + h(q).\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 10 (c) 1 (d) 1\/4 (e) 3624\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.35 - 0.05. Let v = -0.5 - p. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 2:20 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5233.217ns to milliseconds.\nAnswer: 0.005233217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 41. Suppose -15*y + h*y = 8. Let u be (348\/340 - 1)*-5. What is the third smallest value in -0.2, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-20)\/(-3)*(-5)\/(-50)*12 and 638.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -3.3.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/14 - 1799\/(-49) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -756466*w**2\/3 + 2269394*w\/3 + 4 = 0?\nAnswer: -2\/378233, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 37356 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42059 - 4a?\nAnswer: -420a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 10. Let x(o) = -o - 9. Let f be ((-10)\/(-3))\/(6\/9). Let y(a) = f*z(a) - 6*x(a). What is the units digit of y(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8233*g - 1 + 1 + 7713*g in the form n + i*g and give i.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15229 + -2094?\nAnswer: -17323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9094.1 minus 0?\nAnswer: -9094.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 130967375 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uebeekekbubkeukeel. What is prob of sequence uek?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12 = -4*k - 12, 2 = m + 3*k. Let n(p) = -4*p**3 - p**2 - p - 1. Let t = 2 + -3. Let c be n(t). Solve c*z = -m - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 6*x. Let g be p(-6). Let n(h) = 130 + 2*h - h**2 - 261 + 137 + 0*h. Calculate the remainder when 10 is divided by n(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 22. Let w be k + 0 + 2 + 1. Suppose -w - 20 = -4*n. Calculate the remainder when 42 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184957 + 103172 = -4778*c - 360161 + 122710 for c.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 1\/2*k**2 - 2*k - 10. Let i be x(6). What is the third biggest value in -49, 3, i?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*j = 84*j + 28. Let k be 68\/272 + (-19)\/j. Solve -k*s - 3*x = 11 + 5, 12 = -2*s - 4*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 10 = -k - 3, 4*k - 5 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89913*n = 89937*n + 24. Which is the nearest to 13\/4? (a) n (b) 0.3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -462, 1\/9, -347, -4, -2\/9.\nAnswer: -462, -347, -4, -2\/9, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1461 = 639. Suppose -410 = 5*f - m. Solve -f + 14 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k. Let h be u(4). Let z = h - 8. Which is bigger: z or -3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Suppose 5*b = -t - 0*t - 48, 3*b + 34 = y*t. Let i(n) = -8*n. Let f(c) = c + 0*c - 19 + 19. Determine b*f(m) - i(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314 - 1?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11552302 (base 6) to base 11\nAnswer: 234951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008888 to six dps.\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473979?\nAnswer: 3, 11, 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 7216\/9*i + 1936\/3 - 37\/9*i**4 + 64\/3*i**3 + 2696\/9*i**2 + 1\/9*i**5 = 0?\nAnswer: -3, -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 61, 3, -11, 1, -63 in decreasing order.\nAnswer: 61, 3, 1, -2, -3, -11, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 14940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -62) + (-76)\/7\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/(((-60)\/(-9))\/10)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a millennium?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/360 and -113\/162.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -32 + -4 + 4 + 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1202253 to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26611731 is divided by 38963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 12:26 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -309 - -2148\/7. Is -1 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2628655*-0.2.\nAnswer: -525731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 + 5*d**2 - 2*d - 5. Let i be 11*(-5 - 715\/(-121)). Let a(u) = 2*u**3 + 3*u**2 - u - 3. Let h = -3 + -3. Determine h*r(k) + i*a(k).\nAnswer: 2*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n - 2*n)*(-3923 + 17*n**2 + 3923) - 3*n**3 + 0 + 0.\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -676*y**5 + 51*y**2 + 206994*y wrt y.\nAnswer: -13520*y**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122733*r**2*u + 95451*r*u wrt r.\nAnswer: -245466*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(-4*(-2*sqrt(2057) + sqrt(2057)) + 3)*-4.\nAnswer: 180 + 2640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 7. Let x(h) = 3*h**3 - h**2 + 21. Calculate 7*o(n) + 2*x(n).\nAnswer: -n**3 - 2*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2197, 4401, 6605, 8809, 11013?\n\"Answer: 2204*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -4*j**3 - 4*j**2 + 3 + 4*j**2 + j**3. Let q(y) be the third derivative of -y**4\/24 - 117*y**2 + 2. Give q(l(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 - 2*p**3 - 8*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 60 = 4*j, 0*j - 5*j + 64 = -y. Suppose -3*i - 2*i - 2*l + 673 = 0, -3*l + j = 0. Calculate the remainder when i is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 3. Let b be s(0). Suppose -3*m = -5*m + 4*f + 22, f + b = 0. Solve 0*c + 2*c = -6, -i + 12 = -m*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2\/((-2)\/(-131)) + 284 + -289 and 4?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000071 to 7 dps.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(5\/7)*h**(-11)\/h)\/((h\/(h\/(h\/(h\/(h**11\/h)))*h))\/h**(-1\/18)) assuming h is positive.\nAnswer: h**(-2491\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6295785922 to the power of 1\/2, to the nearest integer?\nAnswer: 79346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 36 + 4 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 31*m**2 + 1896*m - 818. What is v(-31)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7 + 8 - 2*o**2 in the form r*o + u*o**2 + j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 33*r**2 - 10*r + 5. What are the prime factors of k(-34)?\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**4*p**2 + b**4 - 3*b*p**2 + 11*b*p + b wrt b.\nAnswer: -36*b**2*p**2 + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*854\/(-2520) - (0 + 1). Let j(d) be the second derivative of 2\/5*d**2 + 6*d + 0 - 2\/15*d**3 + a*d**4. Suppose j(z) = 0. Calculate z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4517.28165.\nAnswer: -4513.28165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2630 = -0*b + 2*b, 0 = -2*b - 10. Suppose 4*o - 3*d - m = 470, 3*o - 1335 = 3*d. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(2\/25)*q*q)**(1\/23))**(-28) assuming q is positive.\nAnswer: q**(-2856\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -170 - 209*q**2 + 641*q**2 - 406*q**2 + 2*q**3 - 146*q = 0.\nAnswer: -17, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:38 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 302176 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 89*a - 14*a**2 - 283*a + 96*a + 96*a.\nAnswer: -19*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 116*x**3 + x**2 - x - 1. Suppose q = -4*y + 7, 5*y - 4*q = 4 - 11. List the prime factors of t(y).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 25*h**2 - 102*h - 2607. Determine n(-25).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 14) to base 5\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 89*h**2 + 18*h + 20. Let p(d) = 4*d**2 - d. Let b(c) = -2*p(c) + s(c). Calculate the remainder when b(-1) is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 82 (b) -2\/9 (c) -4.237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4 + 0.176.\nAnswer: -1.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 5. Let m(a) = 1814 - 902 - 906 + 3*a. Let w be (-8)\/(-36) + 256\/(-18). Let l = 17 + w. Calculate l*m(r) + 4*i(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**3 + 6*b**2 + 14*b + 39. Let y be z(9). Let i = -1133 - y. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*x**2 + 47*x**2 + x**2)*(2*x**2 - x + x).\nAnswer: 120*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -b?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0124937 to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*c**3 + 1765*c**2 + 11357*c.\nAnswer: 150*c + 3530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2*x**4 - 2*f**2*x + 1045*f*x - 568*x**4 wrt x.\nAnswer: -60*f**2*x**2 - 6816*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(7*15\/315). Solve -t = -5 + 4, -9 = -3*x + b*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 594 or 589?\nAnswer: 589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*i + 332*i - 121*i - 19320 = 0 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2061 (base 13) to base 5.\nAnswer: 120343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 9:26 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -2*y**2 + 4 + 0*y**3 + 11\/12*y**4 - 6*y. Let t(p) = -56*p**2 + 21. What is -2*t(z) - 11*x(z)?\nAnswer: -9*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70551 + 35530 + 35023 - 29*q + 482*q.\nAnswer: 453*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3428631 and 1116.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(288))*-5)**2.\nAnswer: -1200*sqrt(2) + 7300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzz when three letters picked without replacement from {v: 2, z: 2, s: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -696 and -111429\/160 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(-3 - 1 + 3)*(-5*c**2 + 2*c**2 + 16*c**2) to the form w + g*c**2 + t*c and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-2))\/(-2))\/(195\/3510)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 10 + 10. Suppose m = 5*t - 4*f + 4, 2*t - 4*t + 2*f = 2. Solve -20 = -t*r - 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjyjjjjyjjjjjj. Give prob of picking 2 y and 1 j.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2751 and 296520?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 322\/5. Let j = 1168.2 - 1168. What is the smallest value in j, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 13. Let w(p) = -p**2 - 18*p - 8. Let h be w(-18). What is the remainder when 41 is divided by i(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4778, 4780, 4782, 4784?\n\"Answer: 2*v + 4776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25039 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200220201201 (base 3) to base 7.\nAnswer: 15125161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005895 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5460\/(-735) + 1 + 6 - 3\/42. Which is the second biggest value? (a) 1\/4 (b) -135 (c) 3\/8 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 256, -2\/103, -40\/11 in increasing order.\nAnswer: -40\/11, -2\/103, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3141 + -1460. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 116 (b) 15 (c) 4 (d) 3\/5 (e) -112\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-4 + -3 - -3). Let w = 80 + -85. Sort -4, n, 4, w in ascending order.\nAnswer: w, -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1344)\/1920*1220\/793?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 6)*900\/(-24). Solve 3*w + y*x = 76*x - 8, 2*x - 15 = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/73 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -392, -4, 3, 0 in ascending order.\nAnswer: -392, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 4:22 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, 16, 102, 222?\n\"Answer: 17*k**2 + k - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 1. Let p(b) = -2*b**3 - 1. Determine -2*j(k) + 2*p(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 535, 734, 887, 994?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = -5*b - 3*a, 0*b - 2*a - 220 = 4*b. Let f = 78 + b. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, 7\/4, -3\/139, 0.3, 0.2, -7?\nAnswer: -3\/139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190*f**3*j**4*n + 14*f**3*j**2*n - 10*f*j**4*n + 156*f*j**2*n wrt j.\nAnswer: -4560*f**3*j*n - 240*f*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -631\/5207 + 3\/127. Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -2 + 2 + 2 - -2. Suppose 5*o - 32 = -3*r - 1, -3*r + n*o = 14. Put -9, r, -3, 1 in increasing order.\nAnswer: -9, -3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -978*k - 876*k - 6289*k + 716584 for k.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 57 = -108. Let f = -33 + y. Solve 8 = -f*a - a + 3*p, 5*a - 5*p = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71868 - -1?\nAnswer: 71869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17195.19 - 17196. Let x = 11 + -9. Sort x, r, 0.3 in ascending order.\nAnswer: r, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*(-35)\/(-500)*43\/301?\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 47\/27, -2\/7, -0.3, 4, -4, 0?\nAnswer: 47\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 16*f**2.\nAnswer: f**2*(f - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747244?\nAnswer: 2, 89, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0 = 20. Calculate the lowest common multiple of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/90 and -9\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = -s + 156 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3488 (c) 302\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/(-13*50\/6825)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/43, 4, -3\/2, -1\/2?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2.95. Let d = -4.05 - i. Suppose -3*m + p - 19 = -8*m, 0 = -3*m - 3*p + 21. Which is the biggest value? (a) -0.3 (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51089 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n - 17 = -4*p, -3 = 3*n. Let o = 7 - p. Does 9 divide 41\/o - (-1)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m**3 - 21*m**2 + 31*m**3 - 5*m**2 - 71*m**3.\nAnswer: -4*m**3 - 26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = -16 - 134 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*v + 2691 + 2733 = 552 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2835 + 2837.0415. Round c to two decimal places.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f + f. What is the common denominator of -34\/15 and ((-142)\/(-24) + -6)\/(f\/(-58))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 12*a**2 + 4*a + 85. Let b be w(11). Solve -i + b = 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338 - 493930*k + 493918*k - 32.\nAnswer: -12*k - 370","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x. Let d(n) = -3476426*n. Calculate d(h(i)).\nAnswer: -31287834*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*w. Suppose 2*n = -w*n + 56. Suppose n + 252 = -z. What is z rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 32. Suppose i*b = -o + 123, 3*o - 30 - 39 = -b. Let q be (-1)\/(-4) - b\/(-16). Solve -4*g + q*j + 4 = 0, -g + j = 4*j - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 80 + 49 = 21 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 598301029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3)\/(-3) - (-33)\/3498*316.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -10. Suppose -t + i + 2 = 0. Which is the smallest value? (a) 5\/4 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.12448 + 0.12448. Let o = -0.9 - -1. Let v = o + -0.2. Which is greater: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmxxxx. Give prob of picking 2 x and 1 m.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 590 and 25?\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4 (b) -2\/5 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + v - 25 = 0, -8*v + 3*v + 5 = s. Suppose s + 15 = 4*y. Suppose 3*g - 8000 = y*g. Round g to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**5\/15 - 45*y**4\/8 + 227*y**3\/2 + 3959*y**2. Differentiate c(v) wrt v.\nAnswer: -8*v - 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o + 21. Is 23 a factor of y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -5*u - 28. Let q = 29 + -11. What is the least common multiple of 45\/(-10)*u\/(-21)*3 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 15*s - 18*s + m, 4*m - 5 = 3*s. Sort s, 1, 4, -38 in decreasing order.\nAnswer: s, 4, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-588) - 310640\/(-14784).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5289?\nAnswer: 5289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 - 170 - 12*a**2 + 3*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001489100 rounded to the nearest 1000000?\nAnswer: -2001000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -220 + 200 + 19 + 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289792 is divided by 8769?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 118, 464, 1048, 1876, 2954, 4288, 5884, 7748?\n\"Answer: w**3 + 113*w**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 4395.\nAnswer: 17580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 - -86. Let x be (-9)\/4 - 6\/p. Let y = -170 - -1192\/7. Which is the nearest to x? (a) -1\/3 (b) 2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(2*(-6)\/192*-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 189, -3, -2\/9, -21 in decreasing order.\nAnswer: 189, -2\/9, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 - q**3 + 4*q**3 + (3*q**2 - 3*q**2 + q**2)*(3*q + q - 3*q) - q**3 - q**3 + 4*q**3 + (-2*q**2 - 3*q**2 - 3*q**2)*(-2*q + 5*q - 5*q).\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*f = -158*f - 6. Is 4\/f + (-141700)\/(-60) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.348 + -0.652. Sort 4, 5, g, -2 in ascending order.\nAnswer: g, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 33 - 37 - 4.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w + 123*w - 191921 = 23*w. What is the remainder when w is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223902758?\nAnswer: 2, 3, 13, 15691061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-4292.\nAnswer: 4292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 5*l**4\/12 + l**3\/3 + 5*l**2\/2 - 3*l. Is k(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*a + 3816, 4*a - 5*o + 0*o = 5123. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1357 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 3529545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447000 and 8640?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1677 - 1666. Which is the closest to r? (a) 0.1 (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6403.564 micrograms?\nAnswer: 0.000000006403564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1362125 to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + 12\/2)*-1. What is the second smallest value in a, -2\/9, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10*(((-30)\/(-25))\/6)\/((-90)\/(-8250)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.041817 and 22.\nAnswer: 0.919974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 731*j**3*y**2 - 10*j**3 + 6*j*y**3 + 2*y - 278 wrt y?\nAnswer: 1462*j**3 + 36*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9154?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 q, and 1 p when three letters picked without replacement from {z: 2, q: 2, x: 1, p: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 732332393, 1464664784, 2196997175?\nAnswer: 2929329566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -342580194.2 to the nearest one hundred thousand.\nAnswer: -342600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 304565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1786 divided by -47\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = 3*m, 3*u = m - 4*m. Find the third derivative of 461*w**2 - 66*w**3 + 3 - 459*w**u - 1 wrt w.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1778.1989 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w, 5*x + 5*w - 10 = 3*w. Suppose -x*u = -62 + 12. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -312 + 92. Let h be 5379\/(-44)*(-16)\/9. Let z = h + k. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -2 + 2*t - 19 + 4*t**2 - 5*t**2 + 9. Suppose -2*u = 3*x + 4, -u - 2*u - 3*x = 0. Determine i(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Let c be (m\/(-3))\/((-2)\/(-12)). What is the units digit of (-22 - 0)\/c + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-12)\/(-10))\/(39\/(-130)). What is the first derivative of 7 + 16 + s*n**2 + 3 wrt n?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n - 5. What is the tens digit of r(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1212953, -2425867, -3638781?\nAnswer: -4851695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + (sqrt(245) - (-1 + sqrt(245))) + 0 + -1.\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*j + 0*j**2 - 27*j - 71*j + 2*j**2 as x + t*j**2 + a*j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*(-20)\/(-4)*(-13)\/91.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(637) + 5.\nAnswer: 6 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 8*j - 17. Let k be u(-10). Suppose -k*z - x + 4 = 4*x, -2*z + 9 = -3*x. Let m(p) = -p**3 + p + 2. Let h be m(0). Solve 2*c + h = z*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 18*w + 8. Let l be a(10). Let n = l - -107. Calculate the highest common divisor of n and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 + -5.09. Suppose -1 + 3 = t. Which is the closest to -1? (a) 2\/25 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 6.6 (b) -15 (c) -1 (d) 7365 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392) - (sqrt(392) + sqrt(392)*1) - sqrt(8))\/(3*sqrt(20)\/sqrt(5)).\nAnswer: -8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**6*t**3 - 2*r**3*t**3 - 4*r**3*w - r**2*t**2 - r**2 - 41*r*t**3*w - 2*r*t**2*w wrt r.\nAnswer: 360*r**3*t**3 - 12*t**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3087761, 3087759, 3087755, 3087749, 3087741, 3087731?\nAnswer: 3087719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*h - 2*h - 14, -2*n = 3*h - 9. Let v = n - -6. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*d**3*g - 315*d**3 - 7*d**2*g wrt g?\nAnswer: -19*d**3 - 7*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 129\/29, -0.3, 0, 2, 5 in increasing order.\nAnswer: -0.3, 0, 2, 129\/29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18947?\nAnswer: 18947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 875548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*q - 5*q = 1, 3*d + 2*q - 21 = 0. Solve n - 20 = d*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((121\/(-154) - -2) + (-18)\/(-63))\/((-36)\/1632)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124*b**3*o**3 + b*o**2 - 136*o**3 wrt b?\nAnswer: 744*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -496.\nAnswer: -5\/496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-7)*k*k*k)\/k**(3\/4)*(k*k**0*k*k*k)\/k**7)**21)**(-32) assuming k is positive.\nAnswer: k**5208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -12*v + 22*v. Let i be 26376008\/24 - v\/3. What is i rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 8. Let v be j(-6). Let m(p) = -v*p + p - p. Let x be m(-6). What is x rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 10:07 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*a - 24. Suppose -a*v + 522 = 3*u - 0*u, 3*u = 5*v - 902. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112 + 116. Let s(c) = c**2 - 6*c + 5. Determine s(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9 and -1.1287.\nAnswer: -2.14453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 6. Suppose -5*v - i*p + 295 = 0, 2*v + p = -2*v + 224. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23497137 to the nearest integer?\nAnswer: 4847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 192 - 106 = 5*o + 86, 48 = -5*f + o + 2*o for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 18*f**2 + 533*f - 9438. Calculate w(18).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = 2*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54.95 - -7220.05. Which is bigger: 0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e8 (base 16) in base 9?\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025388812 rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*a - 2 = 4*d, -2*d - 5*a = -1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4 + -3 + -2 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 104, 385, 772, 1199, 1600, 1909, 2060?\n\"Answer: -11*x**3 + 119*x**2 + x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2334*w + 1 - 2209*w - 14266*w.\nAnswer: -18809*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7583348?\nAnswer: 2, 109, 17393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -103, -36, 83, 254, 477, 752?\n\"Answer: 26*v**2 - 11*v - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -61. What is the first derivative of 14*k + 29*k + 15 + h wrt k?\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 greater than -2\/2207881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*f, -27 = 7*f - 3*f + 3*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -301.369 + -0.631. Let w = t - -302.07. Which is the third smallest value? (a) -3 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (0 - -116) + 1 + -30.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**6*w + 235*d**4 - d**3*w + d**2*w - 6*w wrt d.\nAnswer: -240*d**3*w + 5640*d - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4759862 or 19?\nAnswer: 4759862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**3 - 6*n**2 + 14*n + 9. Is b(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*((6 - 13) + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 + 3*o**3 - 4*o**4 + 7*o - 7*o + 3*o**4 + (0*o + 0*o + o**3)*(-o + 5*o - 2*o) + o**4 + 1 - 1 + (-2*o**3 - 4*o**3 + 4*o**3)*(4*o - 3*o - 3*o).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*x**3 - x**4 + 3*x**3 - 322*x - 5 + 320*x - 14*x**2 to the form y*x**3 + q + h*x**2 + d*x**4 + p*x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -i + 3*r, 4*i - 724 = -2*r - 730 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -11. List the prime factors of (-3 + c\/(-6))*-3.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -13660*m + 573728. Give k(42).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -49, -52, -5, 110, 311, 616?\n\"Answer: 3*c**3 + 7*c**2 - 45*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1985*v - 5*o + 70 = -1980*v, 0 = -7*o + 133 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 726302*a**2 + 750076 wrt a.\nAnswer: 1452604*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hez when three letters picked without replacement from eylevvlvvzvvvhv?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 39 = 2*s - 12, -7 = 2*s - i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 467\/4 - 117. What is the nearest to c in 4, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648 divided by -6525.\nAnswer: -72\/725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -58*m**2 + 1564*m + 62. Let i be z(27). Let r = -2 + 66. What is the highest common factor of r and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -q - 23 + 7, j + 17 = 3*q. Let w(n) = 12*n**2 - 6*n - 5. Let r(b) = 8*b**2 - 4*b - 3. Let m(p) = -8*r(p) + 5*w(p). Let x be m(1). Sort x, q, 5.\nAnswer: x, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-36)\/(-144)*(-1)\/(-17).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10843 - 1 - (-72)\/16*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*(sqrt(1088) - (sqrt(1088) + 2)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) + 187\/102.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.47 - 1.69. Let r = 5.22 + a. Let x = -0.4 + -3.6. What is the closest to -3\/5 in r, x, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Suppose m - 1 = i, -1 - 1 = -h*m + 3*i. Let f(j) = 2*j - 5. Let q(b) = b - 1. Let z(a) = -f(a) + 4*q(a). Determine z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8502.8 less than -3.139?\nAnswer: 8499.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 91 = 5*z. Suppose -z = w - 8. Let j be 3 - (-15)\/w - (-25 - 0). What is the greatest common divisor of 75 and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2 + 4236*d - 1495065 = 0.\nAnswer: 697, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*s - 511*s + 213*s + 38*s**2.\nAnswer: 38*s**2 - 534*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1404, -1391, -1362, -1311, -1232, -1119?\n\"Answer: d**3 + 2*d**2 - 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 287*h**3\/6 + 176*h. Let i(n) = -4*n. What is i(x(t))?\nAnswer: -1148*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*x - 33*x - 23*x - 12*x to the form d*x + o and give d.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i - 3*k, 2*i + k = 8 + 9. Suppose i*w + 8 = 9*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.024, -0.1, -4\/3, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 23*l + 4 - 6 - 5*l - 25 - 3*l**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-154)\/55*5 - -19. Solve 2*h + 5*x - 13 = 0, -4*h - 3*x = -0*h - m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 74005 = -18355. Let l = m - -166879\/15. Calculate the common denominator of 41\/15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 3. Let p(a) = 8425128*a**2. Calculate y(p(b)).\nAnswer: -8425128*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 0*r**5 + r**5 + (-3*r**4 + 3*r**4 - 2*r**4)*(0*r + 0*r + 4*r) + 0 + 0 - r**5 + 0*r**2 - 2*r**5 + 0*r**2.\nAnswer: -13*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Suppose 5*f + 5 = q*l, 3*f - 9 = 6*f. Suppose 100 - 46 = -15*v + 69. Sort v, -14, l in ascending order.\nAnswer: -14, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-16))\/((167\/(-47428))\/(3\/18*2))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5010 - 5008. Let x(z) be the first derivative of -2\/3*z**3 - 15 + 0*z - k*z**4 + 0*z**2. Factor x(o).\nAnswer: -2*o**2*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 19 = -5*h, 4 = -h - 1. Suppose 4*k - 4582 = -k + x, n*k - 2748 = x. Suppose -9*j + k = -8*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004865 rounded to four dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h**2 + 0*h**2)*(h**2 + 0*h**2 - 4*h**2).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 425718372 and -59.\nAnswer: 425718313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -13, 3, -2, -129, 4 in ascending order.\nAnswer: -129, -13, -2, 3, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 13. Let k be l(9). Let m = 7 + k. Let f = 9 + -3. What is the smallest common multiple of m and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.03 (b) -2\/7 (c) 0.5 (d) -30\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 234*b**2 + 595*b - 30649. Calculate u(232).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4559586.\nAnswer: 2, 3, 131, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000858425862 to seven decimal places.\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6)*y**5)**(-7)\/(((y*y**(-2\/17)*y*y)\/(((y\/(y**(-4)*y*y*y))\/y)\/y*y))\/(y*y**(-4)\/y*y*y*y**(-2\/5))) assuming y is positive.\nAnswer: y**(-19439\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -37*d**2 - 8. Let q be v(-6). Suppose 0 = -t + 1 + 1. Is (t\/8)\/((-5)\/q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31719 - 18145. Let l = -8874 + h. What is l rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 72*x**2 - 4 - 138*x**2 - 30*x + 64*x**2. What is w(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10586 and 8174?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**5\/3 + 707*y**4\/3 + 1847*y**3\/3 - 11834*y**2\/3 - 10192*y + 2784 = 0.\nAnswer: -174, -4, -3, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(((-8)\/(-6))\/(-4)). Let s(g) = 12*g**2 - u*g**2 - 5*g**2. Let m(n) = 2*n. Determine m(s(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -4. Let g = -3 + o. Which is the third smallest value? (a) -1\/3 (b) g (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 181\/24*h**4 - 30*h**2 + 0 + 2*h + 0*h**3. Let p(l) = l. What is p(n(a))?\nAnswer: 181*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/2 + 7*110\/120 and 7\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7008940*u**2*y**4 - 2*u**2 - 7685*u*y + 2*y - 2 wrt y?\nAnswer: 84107280*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3597, -7206, -10825, -14460, -18117?\n\"Answer: -n**3 + n**2 - 3605*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/13)*p)**(-21) assuming p is positive.\nAnswer: p**(-210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 6*t - 4. Let d = -89 + 124. Let c be d + -3 + 6\/(-4)*-2. Let q(f) = 6*f + 32 + 2*f**2 - 2*f - c. Determine -7*q(m) + 5*x(m).\nAnswer: m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from oocuoguragguroc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-7 + -2 + 4)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1777641568 + 1.\nAnswer: 1777641569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 3. Suppose -44 = 4*r - 272. Let v = -62 + r. Calculate z(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 21 + (-9 - 12 - -15) - -15.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/8 + 21129*l**3\/4 - 55851840*l**2 + 1003622400*l.\nAnswer: -l*(l - 21120)**2*(l - 18)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*i + 18 = 0, -2*d - 2*d + 28 = -4*i. Suppose d*p + 14 = 4*p. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 1, j: 2, n: 2, w: 1, h: 1}. Give prob of sequence pjw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -94763, -189525, -284287, -379049, -473811, -568573?\n\"Answer: -94762*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3768 - 3768. Put m, 1, 263 in descending order.\nAnswer: 263, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 4*r - 7*y - 20, 5*y + 17 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - y**2 + 4*y**2)*(265*y + 248*y + 177*y).\nAnswer: 1380*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 117*f + 2942950.\nAnswer: -(f - 1658)*(f + 1775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 70. Put -11, g, 1\/7 in increasing order.\nAnswer: -11, 1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 238.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*f**2 - 50*f**2 + 143*f**2 - 49*f**2 - 42.\nAnswer: -5*f**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**3*z**3 + 23*r**3*z**2 + 3*r**2*z**3 + r**2*z**2 - r*z**2 + 2*z**4 wrt z?\nAnswer: 12*r**3 + 18*r**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11847*k + 343587. What is w(-29)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*b - 109*b - 38*b)*(1 - 2*b - 1)*(2 + 1 + 0)*(5 + 9 + 1)*(3*b**2 - 3*b**2 - 3*b**3).\nAnswer: -31050*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8371 = -36*d + 4157. Solve -d*r - 91 = -361*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 853, 885, 911, 931?\n\"Answer: -3*g**2 + 41*g + 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -3\/22 (c) -3\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2*u - 2*u)*(-23*u**3 + 30*u**3 - 114*u**3).\nAnswer: 642*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*p + q - 15, 0 = q - 3. Let l = 0 + p. Solve 4*r + 7 = -l*k + 3*k, 0 = 4*k - 2*r - 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b19 (base 13) to base 11\nAnswer: -4795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 2\/21*m**3 - 2\/21*m**6 - 2\/35*m**5 + 3\/14*m**4 + 0*m - 1\/7*m**2 + 74. Solve a(g) = 0 for g.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 + 13*r - 761. List the prime factors of y(52).\nAnswer: 5, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*w**2 + 88 - 88 + (23*w + 38 - 38)*(-5*w + 5 - 5) + 0 + 0 - 2*w**2 to x + k*w**2 + v*w and give k.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100835)\/6321 + (-8)\/168.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/4 - (-190)\/(-45))*42\/(-8).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/7 - 13568*b**2\/7 - 1012246*b\/7 - 18777204\/7 = 0. What is b?\nAnswer: -37, 6858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-134)*1)\/(((-48)\/(-160))\/(15\/100))?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -216290, -432555, -648820, -865085?\n\"Answer: -216265*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48640 = 3*w - w. Let c be 26250\/(-2)*w\/56. Round c to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*s - 5*j, -3 = -4*s - 5*j + 4. Suppose -3*p = -8*p + 3*x - 12, 1 = -2*p + 5*x. Sort 4, p, s in increasing order.\nAnswer: p, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145142947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4296486?\nAnswer: 2, 3, 113, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.95 - -32. Let l = -3948679.04999991 - -3948679. Let b = q + l. Round b to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/9521?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8097*c**2 - 582978*c + 432.\nAnswer: -3*(c + 72)*(2699*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.03*8579.\nAnswer: -17415.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 9 (c) -0.287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i - 0. Let a = -436\/9 + 7472\/45. Let d = a + -118. What is the nearest to i in -1, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26, -2, -54, -136, -254, -414, -622, -884?\n\"Answer: -d**3 - 6*d**2 - 3*d + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -24*p**2 - 21*p. Let h(t) = 5*t**2 + 4*t. Determine -21*h(y) - 4*o(y).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*d**2 - 1275*d**3 - 1 - 1442*d + 1442*d.\nAnswer: -1275*d**3 + 134*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385 and 3173975.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 - (-49)\/4. Let b be (-2)\/((-4)\/(f\/39)). What is the third smallest value in 0.4, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 177*q - 182*q. Solve -4*c = 4*m - 2*c, -m + 3*c - 7 = q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1681214300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w - 274 = 482. Is -44 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11194746, -13 in ascending order.\nAnswer: -11194746, -13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6454921994.\nAnswer: 2, 353, 9142949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3807317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 + s + 4. Let w be d(0). Calculate the greatest common divisor of w and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 8907193\nAnswer: -3\/8907193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.563\nAnswer: 0.2252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 8*j + 34. Let k be h(-11). Is k >= -1\/443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b. Let o be 12*(16\/(-3) + 2). Let p be o\/(-12) - (-1)\/(-3). Let w(j) = -2*j**2 + p*j**2 + 6*j**2 - 10*j**2. What is y(w(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -595 = -5*a + b, 101 + 369 = 4*a - 2*b. Solve -2*h - 108 = -a for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45198020417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*v - p + 94, v = -p + 25. Let b = v + 121. Calculate the smallest common multiple of 39 and ((-320)\/b + 4\/18)*-5.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/9821 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 1\/735*z**7 + 0*z**4 + 0 - 22*z**2 + 0*z**3 + 0*z**5 + 0*z + 0*z**6. Solve m(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-170)\/(-4))\/(7\/2). Let j = 12 - f. What is the closest to -3 in 0.5, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*p + 18 = 0, a = 2*a + 5*p. Suppose 3*j - 5*q = -6*q + 709, 3*q = -a*j + 1175. What are the prime factors of j?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*b + 12138 = 2715 - 30114 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - 0.7. Let c = -19.9 - -20. Let t = 4.77 + -4.47. Put c, t, x in decreasing order.\nAnswer: t, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2187 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 12) in base 8?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -78249 (base 12) in base 7?\nAnswer: -1232331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 - 5*j + 4. Let b(x) = -x**3 + 5*x**2 + 6*x - 5. Give 4*b(u) + 5*f(u).\nAnswer: -4*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530 = -41*b + 987 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -349265500 divided by 5?\nAnswer: -69853100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268 and 5293?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 4 (b) -114 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, v: 11}. What is prob of picking 2 v and 1 n?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) -9.765\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**2 - 3*x. Let n be q(2). Let s = -19 + n. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464435943 to the power of 1\/2, to the nearest integer?\nAnswer: 21551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 2, q: 4, w: 1}. What is prob of picking 2 y and 1 w?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:47 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -64. Let s(h) = 58 - 34*h**2 - 108 + i. Let y(f) = -2*f**2. What is s(y(c))?\nAnswer: -136*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a day?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -861415*x. Let i(v) = -19*v**2. What is t(i(z))?\nAnswer: 16366885*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 6550.\nAnswer: 45850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 and 3?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*b = -9216, l - 5*b = 2*l + 2320. Round l to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-120)\/144*660\/(-2). Suppose -a = r - 287. Solve 0 = -4*w - 5*g - r - 23, 0 = 4*w - 2*g + 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -92, -377, -850, -1505, -2336, -3337, -4502, -5825?\n\"Answer: h**3 - 100*h**2 + 8*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = n, 6 + 19 = -5*z + 4*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -21*o + 70. Suppose 0*d + 105 = o*d. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 6*x + 5*d + 25, 2*x + 4*d = -20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbzzbbpztbwzpbw. What is prob of sequence bzz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t**3 + 18*t**3 - 6*t**3 + 14*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*(100\/(-70))\/(-10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-427)\/(-189)*(-6)\/(-10). Let o = 14\/9 - f. Solve 0*x**3 + 0*x + 1\/5*x**2 + 0 - o*x**4 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/69 or -1?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.93 - -33. Let w = 7.8 - 8.13. Let k = w - g. Which is the third biggest value? (a) 0.1 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.14770593 + 1031443?\nAnswer: 1031435.85229407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/11 (b) 0.3 (c) 2 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1101 + 24?\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31, -117, -349, -799, -1539, -2641, -4177?\n\"Answer: -12*u**3 - u**2 + u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((187\/34)\/11)\/(3\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*o - 37 = -79*o - 4*j, -4*o - 3*j = -40 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51d (base 15) in base 16?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*j**3*q - 2*h*j - h*q - 69*h - 19*j*q - 2*q with respect to j.\nAnswer: -3*h*j**2*q - 2*h - 19*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 446 and -0.15.\nAnswer: -66.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -9*n + 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1916 = -1754. Let j = -11761 + z. Let k = 5626 + j. Round k to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -471 (base 9) to base 8.\nAnswer: -604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 0.51 (c) 3\/8 (d) -398 (e) 0 (f) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/5 of a microgram?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*n + z + 8, 5*n = 4*z - 32. Let w(t) be the third derivative of -t**4\/12 - 2*t**2. List the prime factors of w(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwww. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v - 812 = 4*w, w = 5*v - 3965. Does 33 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38.5694ml?\nAnswer: 0.0385694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 + 112*a**2 - 714*a - 107. What is i(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3936.4443 microseconds in hours?\nAnswer: 0.00000109345675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1)*(-1 - -2). Solve -2*j - 14 = 3*z, 4*j + 17 = v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/120 - k**5\/10 + k**4\/12 - k**3\/2 - 11*k**2. Let c be i(6). Suppose -c*b + 12*b = 168. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = r + 4*r - 15273, 4*f = 3*r - 9155. Is 128 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muya when four letters picked without replacement from mmupyyuuuhuumyamau.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = -3*t - 5*d, -5*d = -3*t + t + 360. Let y = -175 + t. Let m(v) = v**3 + 7*v**2 + 5*v - 4. Give m(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 33*l**2 + 264*l + 252. What is g(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 364*n. Let f(p) = 6*p**2. What is f(u(w))?\nAnswer: 794976*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 328372851?\nAnswer: 985118553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7444 - -7488.21. What is d rounded to zero decimal places?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -574740 rounded to the nearest ten thousand?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**3\/3 + 1075*d. Let o(h) = 4*h**2 - 30*h. Determine o(l(y)).\nAnswer: 16*y**2 - 60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2916 and -81\/10.\nAnswer: 14580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -6.81.\nAnswer: 6.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1010 - -1014. Solve -7*q + b*q + 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21899*l + 21900*l - 20 = 14 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 0*v + 2\/33*v**3 + 0*v**2 - 4 + 1\/22*v**4. Let g(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 201367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1868 and 0.5.\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 - 22 = 0. What is the second derivative of i + 2*i**4 - i**4 - x*i + 2*i**4 wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 + 189. Let v = q + -211. What is v rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {c: 2, o: 2, t: 6, g: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -532055\/88 + 6046. What is the common denominator of r and 77\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570221995 to the power of 1\/3, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*4*(-30)\/560*4\/9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*i - 25 = 0, -4*i + 15 = -v - 0*i. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -18*g**4\/11 - 508*g**3\/11 + 7664*g**2\/11 + 56476*g\/11 - 399230\/11 = 0.\nAnswer: -37, -83\/9, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from zmzzzzmmzzzmzzmzzm.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -22939, 12, 4, -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(200) + 3*-2*sqrt(200) - sqrt(200)) + -5)**2 + (1*(-4 + sqrt(200))*5)**2.\nAnswer: -1400*sqrt(2) + 12621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6*b**2 - 6)*(3 - 2 - 1 + 3*b**2 - 199*b**2).\nAnswer: -1176*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -1 + 3. Let h be (g*-2)\/((-3)\/6). Suppose 2*u = s - 12, h*u = -15 + 3. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eerrrae. Give prob of picking 2 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-213 - 130 + 94)*(-2*o + 4 - 4) in the form n*o + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12591295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 450455.4 months?\nAnswer: 3753.795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -349 + 406. Suppose 2*q - b - 18 = 0, -q + 2 + 4 = b. What is the remainder when g is divided by ((-30)\/8)\/((-2)\/q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x + 50. Calculate the remainder when t(0) is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6859*s - 4720*s + 13127*s to o*s + k and give o.\nAnswer: 1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 189407 divided by 1\nAnswer: 189407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.281, -1601, -0.2?\nAnswer: -0.281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 15647 - 3*c + 5148 + 5*c + 3*c.\nAnswer: -c + 20795","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3366 or 45994?\nAnswer: -3366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 3*i + 0*i)*(-i**3 - 3*i**3 + 5*i**3) + i**4 + 5*i**4 - 78*i**4 + i**4 + 4*i**4 - 4*i**4 + (2*i - 2*i**3 - 2*i)*(3*i - 3*i + 2*i).\nAnswer: -73*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5759 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 891388, 891255, 891122, 890989, 890856, 890723?\nAnswer: 890590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 5*c = -5*c + 397446. What is the thousands digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3168.00000064 + -3168. Round p to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 80*g**2 - 12*g**2)*(5 - 5 + 5*g**2) - g**4 + 5*g**4 - 7*g**4 + 2*g**4 + 2 - 2 + (-2*g**3 + 3*g**3 + g**3)*(g + 3*g - 2*g) - 3 + 3 + 2*g**4.\nAnswer: 350*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*z**3 - 361*z**3 + 55*z**3.\nAnswer: -409*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 576 + 556 = -4*p, 0 = 3*g + 3*p - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 9. Let m be l(12). Suppose -3*a + m = 4*x, 3*x - a - 16 = -5*a. Let y be ((-1)\/4 - (-579)\/x)*3. What is the greatest common factor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - 16. Calculate the common denominator of 33\/u*76\/(-6) and 46\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqhlhllwwh. What is prob of sequence lhhl?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1699 - 1785 - 1790 + 9*n + 5274.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 34539.34mm?\nAnswer: 3453.934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (48\/10)\/(-4)*(-571 + 1). Suppose 3*d - 5*n = -0*n + 513, 4*d = 5*n + c. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 15 = 0, -934758 = 465*o - 468*o - h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.767 + 2.7. Let x = -361 + 361.0619. Let v = x + c. What is v rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70349335 divided by -14069867\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 23946*h + 47888.\nAnswer: (h + 2)*(h + 23944)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 9:04 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 - 2*j**2 - 2*j + 3. What is i(2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -12*j + 6. Let f(r) = -r**3 + 9*r**2 - 9*r + 12. Let l be f(8). Let c(d) = -2*d**2 - 8*d**2 + l*d**j. Let x(t) = -3*t**2. What is c(x(m))?\nAnswer: -54*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.6 + 21.1. What is the third smallest value in -6, -0.3, x, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 21. Let a = 1 - v. What is the smallest common multiple of a and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 175700795.8 to the nearest 1000000.\nAnswer: 176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-1\/6)*t*t*t*(t**(-13)\/t)\/t*(t*t**11\/t)\/(t*t**(-3\/10)\/t*t) assuming t is positive.\nAnswer: t**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(2\/(-1))*-7. Let p = 5917\/8 + -738. Calculate the common denominator of p and (-114)\/v*1\/(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 31.9. Let o = -22 - -24. Let n = l - o. Which is greater: n or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 5:39 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -190\/4653 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32003334 (base 5) to base 6\nAnswer: 5411530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608 a factor of 147629527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52319*a**2*q**2 + 1497*a**2 + 5680*a - 5*q**4 wrt q.\nAnswer: 104638*a**2*q - 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 8\/5, 31, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -31*(-3 + 5 - -1). Let d = f - -100. Suppose 0 = -5*n + 410 - 130. What is the highest common factor of n and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 2*i**2 + 6*i + 5. Let h be o(-4). What is the highest common divisor of h and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -14*v. Calculate t(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 190 = 440. What is the remainder when h is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 830\/(-70))\/((-12)\/(-56))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 + 65 = -3*j. Suppose 3*a - 22 = 5*m, -j*m - 5 = -18*m. Put 3, a, 19 in ascending order.\nAnswer: a, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -218?\nAnswer: -19\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from {d: 13, p: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 10:46 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + q + q + (-2 + 0 + 1)*(2*q - 3*q + 3*q) + 2*q + 1 - 1 + 0*q + q - 2*q + (-2 + 2 - 2*q)*(-1 + 18 + 0).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -3*o - 75. Let x be 1 + 4\/(4 - 2). What is the second derivative of 0*k - 5*k**3 + k + o*k**3 + k**x wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 14921*u**3 - u**2 + 2*u - 1. Let n be g(1). Suppose -5*o = -4*t + 18765, 4*t = -o + n + 3814. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -51. Suppose 5*s - 22 = -d, -4*d + 9*d + w*s = 22. Let p(a) = 34*a - a**2 - a**3 + 9 - 33*a + 0*a**d. Calculate p(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 44a?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - 1 + 1 + (-1 + l + 1)*(5 - 3 - 4))*(5*l + 3*l + l) as o*l + s*l**2 + p and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30102338353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272971924 to the nearest integer?\nAnswer: 16522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -3815 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-526 - -530) + (-17 - 0) + -3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458034 is divided by 25445.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**6\/24 - 7*d**5\/6 + 125*d**4\/24 - 10*d**3 + d**2 + 188. Let i(r) = 0. Calculate r.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.072 (b) 12 (c) -15 (d) 1\/2 (e) -1 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-14)*(-3)\/(-32)*-4.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1678?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 + 84. Let s be (-8)\/48 - (-5)\/(-24). Which is the closest to -0.1? (a) -0.1 (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -323 + 265. Let q = l + 61. Solve q*n = -s - 4*s - 23, -20 = 5*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62, -64, -66?\n\"Answer: -2*l - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*o - 14 = 0, 3*i - 4 = 2*i + o. Suppose 19*f = -i*f + 1512. Is f a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 21*r + 2106*r**3 + 18*r + 698*r**3.\nAnswer: 2804*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2639, -5278, -7917?\nAnswer: -10556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 3\/(-3))\/(1\/(-3)). Suppose -d = -2*u - 3*d + 6, 2*u = -h*d + 6. Sort -5, u, 0, 5 in increasing order.\nAnswer: -5, 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 85*v + 1 + 1\/3*v**3 + 1\/2*v**2. Suppose -2*b - 6 = 0, -3*a - 3*b - 8 = 7. Give z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (58\/(-8))\/((-7)\/28) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4 - 201*u**3 - 39*u**2 + 2577*u + 2412 = 0. What is u?\nAnswer: -3, -1, 4, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)*s**(2\/7))\/(s\/s**(-1\/4)*s\/s**(-12)) assuming s is positive.\nAnswer: s**(-727\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2450*h**2 + 42*h - 4354. Let s(y) = 2449*y**2 - 28*y + 4356. Let g(x) = -2*f(x) - 3*s(x). Find the first derivative of g(w) wrt w.\nAnswer: -4894*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-348 - 27*t + 348)*(-4 + 3 + 0) + 2*t - 3*t + 2*t - 3*t + 2*t - 3*t)*(-4 + 2*t + 4).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1984\/56 + 3\/(-7). Let k = 39 - v. Which is the second biggest value? (a) k (b) 1 (c) -4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66845 and 290?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**5\/5 + 419*w**3\/3 - 627*w**2 - 3*w + 6218. What is the second derivative of o(b) wrt b?\nAnswer: -12*b**2 + 838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/15)\/(288\/240)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 - -131. Solve -w + 4*c - s = 2*c, 0 = -3*w - c - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 14. Solve -u - n = -0 + 3, -n = -k*u + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h**2 + 11*h + 16. Let v(r) = -10*r**2 + 10*r + 15. Let p(z) = 5*k(z) - 4*v(z). Determine b, given that p(b) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 21 = 61 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.53 - 1.6. Let y = -0.43 + z. What is the biggest value in y, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1214\/18210)\/((-10)\/(-7938)) + (-4)\/(-50).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*l**2 - 986*l**2 - 460*l**2.\nAnswer: -1363*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/9 + 0 - (-2)\/3. Let z(d) = 201*d + 203*d + 204*d - 606*d + d**2. Give z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*d + 4*j, d + 418 - 436 = 3*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -342 - -374. Let w be (-2)\/(-7) - (-334)\/7. Calculate the highest common divisor of w and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21172 and 958.\nAnswer: 10141388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524 = 128*h + 324 - 208 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000110 (base 2) to base 5.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3)*(40\/5)\/4. Let b = 11 - 8. Solve b*q + 1 = z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - c**2 + 0*c**2 + (1 + 1 - 3)*(1 + c**2 - 1) - 7*c**2 + 15*c**2 + 0*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o**(-2\/9)\/o)\/o)*o*o*o**(-2\/17)*(o\/(o**24\/o)*o)\/(o**26*o) assuming o is positive.\nAnswer: o**(-6563\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2796296169?\nAnswer: 3, 15349, 60727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 4*o + 2*o)*(-o + 0*o + 3*o)*(-1 + 0 - 1) + o + o**2 - o.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34 - 214 + 1724*q**2 - 15 - 583*q**2 wrt q.\nAnswer: 2282*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 7*j**2 - 4*j - 8. Let q be b(6). Let u(p) = 19*p**2 - p - 2. Calculate the lowest common multiple of (-120)\/(-10 + q) + 2\/(-1) and u(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 759.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 + -86.5. Let p = 6.3 - 1.3. Sort p, 3, v in ascending order.\nAnswer: v, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001010 (base 2) to base 5.\nAnswer: -3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - 454. Round m to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357165959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 139*s + 2636. What is i(85)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-5)\/(-9)*(-1196)\/1495. Sort -5, k, 0.06, 2 in descending order.\nAnswer: 2, 0.06, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 7*t - 16*t + 855. Calculate the remainder when 331 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -t + 9, 9 = -4*f + 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -114, -199, -344, -549, -814?\n\"Answer: -30*d**2 + 5*d - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)*v*(v\/(v\/v**(-3\/4)))\/v)\/(v*v\/v**1)**(-1\/7) assuming v is positive.\nAnswer: v**(-29\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -266 - -265.7. Sort -0.4, 2\/5, -3\/7, j.\nAnswer: -3\/7, -0.4, j, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/7 + 234*x**2\/7 - 4128*x\/7 + 2432 = 0. Calculate x.\nAnswer: -133, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.016 - -1.064. Let r = p - 0.08. Let b = 14 + -44\/3. Sort b, r, 3 in ascending order.\nAnswer: b, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) - 21\/(-2). Let n be ((-2)\/d)\/((-6)\/(-15)). Let h = 216 + -219. Do n and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5996 + -53962\/9. Which is smaller: g or 2561?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3479067 is divided by 144961.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 6*u + 0*u - 34 + 81.\nAnswer: -6*u + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.0341 millilitres in litres?\nAnswer: 0.2420341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*t + 342*t - 219 = 110 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 961?\nAnswer: -962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007174 rounded to six dps?\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26.2848 and -9308?\nAnswer: 9334.2848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253001 - -0.1.\nAnswer: 253001.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*o - 20. Suppose 5*f + 945 = -4*w, -3*w - 703 = o*f + 11. Let r = -84 - w. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m**(-3)\/m)\/m)*m*m**5*m**(-2\/5)*m*m**(-1\/11) assuming m is positive.\nAnswer: m**(688\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00718 take away -324?\nAnswer: 323.99282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 9. Suppose 912 = 4*d - o*j, -3*d + 927 = d - j. List the prime factors of d.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3*(-51)\/18 + 5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 561*y**2\/2 + 5211*y.\nAnswer: -y*(y - 579)*(y + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 7*h - 6. Let p be l(-4). Let u be (-1)\/2*19*-10. Calculate the greatest common divisor of p and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64997 is divided by 185?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - 0. Let o(f) = 5*f - 6. Let t = 34 + -28. Let s(j) = -9*j - 2. Let x(u) = 21*u + 9. Let g(r) = -8*s(r) - 3*x(r). Give i*o(w) + t*g(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/3 - 534050*p + 6408680\/3.\nAnswer: -5*(p - 4)*(p + 320434)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((sqrt(9) - sqrt(324)) + sqrt(9)) + 5.\nAnswer: -sqrt(11)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.6 in 0, 2\/7, -0.11, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/(-42))\/(((-300)\/(-84))\/25).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 22*y - 29 - 8*y - 35*y.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**2 - 13*j + 1. Let s be n(9). Let r(b) = -5*b**2 + 5 + 0*b**3 + 0*b**2 + b**3. Determine r(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 191, 213?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611499.9 rounded to the nearest one thousand?\nAnswer: 1611000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 246851?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9324.000017016 - -9324. Round d to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4091d (base 14) to base 12.\nAnswer: 75b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 406 + 144 = 0. Suppose -4*g - h + 142 = 0, o = g + 2*g - h. What is the remainder when 41 is divided by 12\/g - 41\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f + 36 = 0. Let o = 29 - f. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3135 rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**3 + 3. Let u(s) = -1844*s**3 + 1841*s**3 - 3*s**2 + 3*s**2 + 1. Let y be (-22*1)\/2 + 2. What is y*u(v) + 4*n(v)?\nAnswer: -v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-5))\/(3\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/114*3\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 196 = 126 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43803, 87641, 131503, 175401, 219347?\nAnswer: 263353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**3\/6 + 11*o**2\/2 - 8*o. Let h(k) = 2*k**2 + 8*k + 7. What is the smallest common multiple of h(-4) and q(0)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-120)\/180 - (-50)\/(-6). Let m be (-238)\/(-63) + (-2)\/g. Solve 0 = m*x - 0*y - 2*y + 10, 2*x = 3*y - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -5*t - 14, 0 = 3*b - 0*b - 5*t - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 4:18 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6814.6 - -6815. Which is the closest to z? (a) -1\/3 (b) 3 (c) 0.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 2*i - 2. Let w be r(-6). Let v(n) = -n**2 + 2*n - 2 + 3 - 3. Let k(h) = -5*h**2 + 11*h - 11. What is w*v(s) - 4*k(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*q*w**3 + 2*q + 6564*w**2 + 5*w - 43 wrt w.\nAnswer: 180*q*w + 13128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 39384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.34028 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 1\/2 (c) -1 (d) -7865713\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a + 9 = 4*g, 0 = g. Let w(n) = 91*n - 4. Let y(q) = 136*q - 6. Let p(k) = -7*w(k) + 5*y(k). Is p(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18610 divided by 1861.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 5*q - 0*q - 4, 3*q = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*r - 8, 3*r + 21 = -3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-6660)*5 + 570\/30525\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6135, -19669, -42227, -73815, -114439, -164105?\nAnswer: -222819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2087 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - f - 272.\nAnswer: (f - 17)*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8256881177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -147, -296, -461, -648, -863?\n\"Answer: -h**3 + h**2 - 135*h + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f - 25 = 0. Let d = f - -10. Let a(i) = -i**3 + 4*i**2 + 4*i + 2. What is a(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, 4\/7 in decreasing order.\nAnswer: 3, 4\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-23)\/7 + -3. Which is the nearest to g? (a) -4 (b) 2 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2194 = -22*l + 24722. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-74)\/(-3) + (-36)\/54. Suppose -v = 2*l - 2 + 14, -2*l + f = -5*v. Let q be (v - (-15)\/2)*1\/3. Sort 0, 3, q, -4 in decreasing order.\nAnswer: 3, q, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100001 + -100010011100001?\nAnswer: -100010010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 9 = -2*i + i, i - 3 = 2*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 3*m**2 + 4*m - 1. Let x be s(-4). Calculate the smallest common multiple of 10 and -4 + 8 + (3 - x).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4221 and 88797?\nAnswer: 124937379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 11 + 15 = 0. Let n(c) = -78*c + 21. Let k(y) = -77*y + 21. Let h(r) = s*k(r) - 5*n(r). Is h(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/7))\/((d\/((d\/(d*d**0*d))\/d))\/d*d) assuming d is positive.\nAnswer: d**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t**2 - 2*t**2 - 17*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (308 + 275 + 319 + (-2 + 1 + 3)*(5 - 2 - 4))*(0*g - g - g).\nAnswer: -1800*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**4 - l**3 - l - 1. Let p(f) = -10*f**4 - 16*f**3 + 7*f**2 - 14*f - 11. Let w(t) = 2*p(t) - 22*u(t). Factor w(y).\nAnswer: 2*y*(y - 3)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -7 - 5 - (-1 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkzzzzzzzzkzzzzzkk. What is prob of picking 1 z and 2 k?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012588 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = 0, -4*q - 3*z - 2*z + 15 = 0. Let l be 20\/15 - q\/(-3). Suppose -p = -l*p - x + 15, 5*x = -5. Calculate the highest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*y + 123*y - 31416 = 46*y - 202*y for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3889890 and -0.3?\nAnswer: 1166967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 699.991ug in grams?\nAnswer: 0.000699991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.107 - 0.205. Let v = s - -0.098. What is the fourth biggest value in 5, 0.5, v, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + sqrt(133)\/(sqrt(7)*1).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 12*t**2. Suppose 156 = 57*n - 44*n. Let r(y) = 5 + n*y + 8 + 0 - 13. Calculate d(r(k)).\nAnswer: 1728*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17343, 17355, 17381, 17421, 17475, 17543, 17625?\n\"Answer: 7*k**2 - 9*k + 17345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784*n = -8220 + 11356 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -421 divided by 29?\nAnswer: -421\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112102043 (base 5) to base 9.\nAnswer: 4553640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.024 + 0.176. What is the closest to 2\/5 in 0.1, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 2:22 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(1\/3)\/m))**(-27)*(m\/((((m\/(m\/m**(-1\/2)*m*m))\/m)\/m)\/m))**(-50) assuming m is positive.\nAnswer: m**(-370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 4*u = -6*c - 40, -38*u - 24 = 5*c - 30*u for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17462 = -a - 3*a - 3*u, 5*a - 21829 = -3*u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.4 + 7.4. Suppose 0 = -2*i + 5*s - 18, -3*i + 2*i - s = 2. Let t = 2\/5 - 1\/15. What is the closest to t in 0, x, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 + 0)*(-14515 + 14505 + 4*y**2 + 11*y**2) to the form w*y**2 + s + j*y and give w.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161192 is divided by 200?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 956062?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 1. Let v(l) = l. Let p(x) = 4*x. Suppose 7*t - 8*t = 1. Let c(m) = k*v(m) + t*p(m). Let g(j) = 3*j**2. What is c(g(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/360 - 7*c**4\/72 - 10*c**3\/9 - 3*c**2 + 457. Factor h(l).\nAnswer: -(l + 4)*(l + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b = -23 - 65 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*w - 99 + 1255 = -318 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + 3*q**2 - 3. Let m be i(3). Suppose 2*g = 2*f + 3*f + 11, 5*g - f - 39 = 0. What is the common denominator of ((-34)\/g)\/(m\/208) and 36\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 337.62275142.\nAnswer: 337.92275142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-11 - -28) + -117). Solve 0 = -3*h + 391 - q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -35.3?\nAnswer: 35.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1577 or -1582?\nAnswer: -1582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:54 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**6\/6 - j**5\/5 - 3*j**4\/16 + j**3\/3 - j**2\/8 + 49. Solve v(g) = 0 for g.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*d**2*k*w**3 + 18*d**2*k + 127*d**2*w**2 - 3*d**2 + 7*d*w + 13149*k + w**3 - w**2 - 6 wrt k.\nAnswer: 35*d**2*w**3 + 18*d**2 + 13149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 154*j**3. Suppose -3*y + 2*w + 9 = 0, 320*w = 321*w. Let s(k) = 31*k**3. Determine y*t(d) - 14*s(d).\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - j = -32 - 2, -3*j + 3 = 0. Calculate the remainder when r is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - (sqrt(3000) + (sqrt(3000)*2 - sqrt(3000)) + sqrt(3000) + sqrt(3000)))\/(5*(sqrt(54)\/sqrt(9) + sqrt(6))).\nAnswer: -39*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8929*s + 8926*s - f = 18, 2*s = 5*f + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4355459\/72 - -60494. Find the common denominator of -14\/4041 and w.\nAnswer: 32328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321130 divided by 664226?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -4 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(18*r + 34*r + 38*r).\nAnswer: 180*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401899602.\nAnswer: 2, 3, 13, 73, 70583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m**2*q**2 - 45131605*m**2 + 15096*m*q**2 + 7*q**2 - 3*q - 1 wrt m.\nAnswer: -16*q**2 - 90263210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-511)\/219*(4\/6)\/(-11*161\/(-3036))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260979287.\nAnswer: 260979287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -3 + 1 + -1 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r**4 - 3*r**3 + 3589*r - 293802.\nAnswer: -4*r**3 - 9*r**2 + 3589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 14. Let s = -6 + 6. Let y be l(s). Calculate the highest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4 and 53\/888.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -686*a + 35711. Calculate t(52).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*z - 134*z = -130 - 590 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9)*(0 + 21). Let o = 15 - x. What is the derivative of -o - i + 2 + 2 + 3 wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g + 2*q = 37*g - 16, 0 = 2*g - 3*q - 12. Suppose g*w + 12*r = 15*r + 1188, -5*w - r = -1968. List the prime factors of w.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119313 divided by 636\nAnswer: 39771\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -47. Let m be (-441)\/t + (-1)\/3. Suppose -2*h + m = -h. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 = -4*a - 229. Solve -5*x - a = -i - i, -22 = 3*i + 4*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 5*s**3 - 10*s**2 + 2*s**2 - 2*s**2 + 8*s**2.\nAnswer: -6*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -505 - -522. Let o(t) = t**3 - 17*t**2 - 2*t + 30. Give o(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8697591?\nAnswer: 3, 7, 17, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*w = -439212, -3*w - 365475 = 3*b - 36087. What is b rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 157058172.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 16 = -f + 2*w, 599 - 607 = 2*f + 2*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 640 and 47950?\nAnswer: 3068800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -3 (c) -0.01 (d) 9 (e) -247 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127784, -127783, -127782, -127781, -127780?\nAnswer: -127779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3281*d - 825*d + 70350 = 3594*d - 60550 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -51*1*(-1)\/3. Suppose -3*q - 28 - w = 0. Let a be (-2)\/2 - (2 - 1). Put a, -3, q in increasing order.\nAnswer: q, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 12876150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/16370 and 61\/2331088.\nAnswer: 11655440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5 = 4. Suppose p + 5 - 12 = v*x, -4*x = 4. Suppose p*o = o + 39. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let i(q) be the first derivative of -q**4\/4 + q**3 + q**2\/2 + 1. List the prime factors of i(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 7368\/139417 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -80. Let a(p) = p**2 - 7*p - 8. What is a(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/28600 and -167\/5460?\nAnswer: 600600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -4 (c) 2 (d) 1 (e) -47\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.8 rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*l = 46*l - 440 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:29 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - -1 - ((7 - 15) + 11 + 6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 126*r**2 - 238*r - 366.\nAnswer: -2*(r - 61)*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nncj when four letters picked without replacement from {z: 2, n: 1, v: 1, q: 1, j: 1, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) 0 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 358 + -116. Calculate the highest common divisor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15500\/625)\/((-12)\/(-15))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 759231 + -759231. Suppose 2*z + z - 21 = 0. What is the biggest value in j, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1270 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 4, h: 1, f: 5, p: 2}. Give prob of sequence pt.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrdrrrnlrrrrrrrrnqqr. What is prob of picking 2 n?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 3 (c) 849 (d) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1310 - -112300112231?\nAnswer: 112300120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 248 + -0.3408.\nAnswer: 247.6592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265255, 530419, 795583, 1060747, 1325911?\nAnswer: 1591075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1138*n**2 + n + 242. Let d(t) = -40*t. What is b(d(u))?\nAnswer: 1820800*u**2 - 40*u + 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 797 take away 0.5?\nAnswer: 796.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16\/168063 - -4249473083\/1344504. Let d = z + -3152. Calculate the common denominator of 19\/10 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 542297, 1084582, 1626853, 2169104, 2711329, 3253522?\nAnswer: 3795677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 14 = 46. Let b be k\/6 - (-4)\/(-12). What is the derivative of -2 - 3*r**2 - 2*r**2 + b*r**2 wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515994 - 134406 - 225104 = 7817*h for h.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/24)\/(3\/29943) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.4, -134, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.525213 months in decades?\nAnswer: 0.054376775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11100011?\nAnswer: -11100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 753 - 203 = 0. Let n = w - -1591\/3. What is the common denominator of n and 18\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -58\/36295?\nAnswer: -58\/36295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**2 - 444*c - 904 = 0.\nAnswer: -2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 5*x - 2. Let u be q(-3). Solve m - 12 = u*i - m, -4*m - 36 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p - 5*p - 136 = -4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/10*17\/(1972\/145)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Suppose s*u - 4*x + 3 = 14, u - 9 = 4*x. Let m be 1*(-4 + 120\/28). Which is the third smallest value? (a) u (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 2*y**2 - 3*y + 2. Give j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c - 7. Let w be y(-3). Suppose 0 = 3*x - 4*a - 34, a - 8 = w*x + 6*a. Calculate the least common multiple of x and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256616 a multiple of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 2*u + 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (712 - 712 - 24*k)*(2*k - 2*k - k) to the form v + c*k**2 + u*k and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/6 - (-26 + 22). Which is the smallest value? (a) -0.04 (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4780 a factor of 560341044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142580568 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 11*f**3 + 0*f**3 - 6*f**3 - f + 2*f.\nAnswer: -17*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*b - 10 - 14, -4 = b. Put z, -4, -3 in descending order.\nAnswer: z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3\/7 - 64*s**2\/7 - 236*s\/7 - 176\/7 = 0 for s.\nAnswer: -11, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 28*m**2 + 31*m + 61. Let s be (-58)\/6*(-6 + 0 + 9). Let u be t(s). Solve -5*j = -u*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 1, -0.02, 1\/3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -2.3 (c) 0.2 (d) 4 (e) -342 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -583 (base 10) in base 12?\nAnswer: -407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = -4*y. Let s be ((-1)\/y)\/(3\/(-6)). Differentiate v**2 + 5*v**s - 1 - 5*v**2 wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -293 + 244 + 1006*x + 228. Is z(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 5. What is l(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j. Let h = 8 - 2. Let r(o) = h - 3*o - 6. What is r(d(q))?\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 1. Let i be r(-3). Suppose 3*m = -i - 4. Suppose 3*l - 2 = -2*s, 4*s = 3*s - 4*l + 6. Is m smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - v**2 - v. Let l be b(0). Suppose 0 = -3*o - l + 42. Calculate the smallest common multiple of o and 4\/(-4) + 1 + 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/11)\/(d\/d**(-34)) assuming d is positive.\nAnswer: d**(-383\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -10.7. Let i = 241 - -50. Let u = 292 - i. Which is the third smallest value? (a) 0.1 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171384.\nAnswer: 2, 3, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from kmkkpmkmxdmddmk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -603 + 603.326. Let b = -0.326002782 + l. Round b to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -122*u + 8. Let h(l) = 122*l - 7. Determine -6*h(o) - 5*t(o).\nAnswer: -122*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = n + 5, 5*n - 325 = -4*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38870691 divided by -3?\nAnswer: -12956897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 41261 = 5*v, 2*g + 0*g = 5*v - 41262. Let o be 2 + (-5)\/((-90)\/v). Let q = 460 - o. Which is the closest to 2? (a) -4\/3 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 + 8*i**3 - 27 + (-4 + i**2 + 4)*(5*i + 4*i + i + 6*i - 3*i - i + (1 + 2 - 1)*(3*i + 2*i - 4*i)).\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from savvsssssissvsvssiv?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223387833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, p: 5, o: 6, e: 1}. Give prob of picking 1 p, 2 o, and 1 e.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 4*j + 125 = 0. Calculate the remainder when j is divided by -2 + -1*-4*4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22\/(-4))\/(1 - (-20)\/(-16)). Find the first derivative of -z*h - 22*h - 21*h**2 + 44*h - 22 wrt h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111\/436 + -1\/218. Let o(c) be the first derivative of 3 + 1\/12*c**3 - i*c**2 + 0*c. Factor o(m).\nAnswer: m*(m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2\/125 of a millimeter?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0*w\/w**(2\/9)*w)\/(w\/(w**(-2\/3)\/w))**(-2\/47))\/((w\/w**(-1)*w)**(5\/7)*w**(2\/19)*w**(2\/23)) assuming w is positive.\nAnswer: w**(-574289\/1293957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 25*h**2 + 26*h + 40. Let z be v(24). Let f = z - 18. Solve 0 = 13*d + d - f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/9 and 99.28 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48\/131 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (0 - (0 - -1) - -2). Find the second derivative of -9*w**2 - w**2 - c*w + 8*w wrt w.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**7\/70 + j**5\/12 + 7*j**2. What is the third derivative of d(g) wrt g?\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**3 - 3*b**2 - 2*b - 4. Calculate t(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2853799?\nAnswer: 13, 219523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 8*c - 7. Let v(g) = g**2 - 4*g + 3. Let t(j) = -2*f(j) - 5*v(j). Differentiate t(a) with respect to a.\nAnswer: -2*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029591 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 57*c - 52*c + 156*c - 53*c as d*c + a and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 + 2*z - 4. Is l(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/1026*9)\/(((-3)\/6)\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -731480271.\nAnswer: -731480275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 2 + 6796\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 9*f. Let s(x) = -2*x. Calculate s(l(m)).\nAnswer: -8*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 4}. What is prob of picking 4 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -42.8. Let n = 0.05 + 3.95. Let d = n + l. What is the nearest to -2 in 0, 5, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 10) in base 14?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5103\/2 + 9569\/4. Let r = -158 - x. Factor -1\/2*l + 0 + r*l**2.\nAnswer: l*(5*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 8. Calculate h(-10).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = d - 21. Solve 12 = 4*k - d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -12.2.\nAnswer: 3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**3 + 4652*z**2 + 100892*z + 552244 = 0?\nAnswer: -1141, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/50)\/1*(-7945)\/(-908)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-9) - (-29)\/(-9). Let p = -0.5 + 0. Let s = -0.5 + p. Which is the closest to 0? (a) s (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433579394, -433579392, -433579390, -433579388?\nAnswer: -433579386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1451\/204 + 332\/17. Let p(d) = -11*d + 10. Let r be p(7). Calculate the common denominator of h and r\/(-9)*6\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -273680000 to the nearest 1000000.\nAnswer: -274000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -151\/4, 20, 0.059?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**2 + 3*q**2 + q**2 + (-q - q + 3*q)*(2*q + q - q) - 945*q - 7*q**2 - 60*q**2 + 76*q**2 - 957*q - 3*q**2.\nAnswer: 7*q**2 - 1902*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5631, 23781, 54023, 96351, 150759, 217241, 295791?\nAnswer: 386403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29.029 + 0.029. Let z = f - -34. Let h be (0 - -1)*(-3)\/27. Put h, -0.2, z in decreasing order.\nAnswer: z, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**5\/20 + k**4\/3 - k**3\/2 + 7*k. Let o be a(3). Suppose n = -4*w + 41, o = w - 5*w - 4*n + 32. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/2109 and -37\/36.\nAnswer: 25308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 13*v - 4*v - 7*v - 1 + 7*v. Suppose -2*j = -3 + 5. What is i(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a factor of 19744833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271 = -2949*m + 2980*m for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -52.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/65 - 9\/(-26). Let y = 1.62 - 1.32. What is the biggest value in c, 1\/25, -5, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.2 times 4?\nAnswer: 60.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2713 + 2709. Let t(w) = 25*w**2 + 4*w + 3. Let n be t(m). Solve -15*j - n = -21*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a = 37*a. Suppose a = 6*c - 39*c. Solve c = 41*d - 39*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**2 - 13\/5*b - 2\/5 - 9\/5*b**3 = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -11*w**5\/30 + 106*w**3\/3 + 18. Let k(o) be the third derivative of q(o). Let j(m) = m. What is j(k(h))?\nAnswer: -44*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 40*o + 13. Let h be x(-20). Suppose 5*l - h*l = -312. What is the highest common divisor of 52 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/v**(-8\/7)))\/v)\/v*v)\/(v*v**(-8)))**(-46) assuming v is positive.\nAnswer: v**(-1564\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4*y - 84, 3*m = -y - 2*y + 69. What is the remainder when 87 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 637139*f*z**3 - 5979*f - 342*z**2 wrt z?\nAnswer: 3822834*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -230 + 234. Which is the closest to 1? (a) -0.04 (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 5. Suppose 9*r = 125 - 35. Let y(n) = r - 19 + 10. Give -x(k) + 6*y(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.5, 2\/7, 4.\nAnswer: -0.1, 2\/7, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 676, 1587, 2864, 4507, 6516?\nAnswer: 8891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 8) to base 13.\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 + 84 = 5*i + 5*h, -2*i + 135 = h. Let z = i + 58. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(56) + sqrt(56) - sqrt(56))\/(6*sqrt(128)).\nAnswer: -5*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/27)\/4)\/((-24)\/756*7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 3. Let d be (-1 - (-1 - h)) + 14. Let p be 90\/d + 6\/(-33). Solve 4*j = -0*j + p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 893 - 893.7144. Round a to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(19) + sqrt(152)\/sqrt(8))*-3*1)**2 - ((sqrt(3078) + sqrt(3078)*-1)\/((sqrt(22)*2)\/sqrt(11)))**2.\nAnswer: -108*sqrt(19) + 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2313*c**3*p*z**2 + 6802*c**3*p*z + 3*c**2*z + p*z**2 - 2*z**2 wrt z?\nAnswer: 4626*c**3*p + 2*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -1\/8 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93898, 187717, 281522, 375319, 469114?\nAnswer: 562913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7795.287 years to millennia.\nAnswer: 7.795287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 122125594 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1800*w + 122 = 1796*w - 10*p, p + 19 = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439 - 331 = 2*s. What is the lowest common multiple of s and 9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.2 - 7.1. Let n = -3 + z. Let y be (-3)\/(-30)*(-6 + 0). Is n at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*x**3\/5 + 4464*x**2\/5 - 11925*x + 8427\/5 = 0.\nAnswer: 1\/7, 53\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 + 193. Let t(y) = 8*y**2 + 10*y + 11. What is the remainder when a is divided by t(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2333 - 1847 = -38*b - 129*b - 3355 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014178847 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1408 divide 69684736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlo when three letters picked without replacement from oqlqqllqlldllqlql?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 24*i**2 - 24*i + 7. Let n be l(13). Suppose n - 18 = -d. Sort d, 1\/6, 3\/5.\nAnswer: d, 1\/6, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12 - (-6380)\/528).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 10. Let k(v) = 3*v - v + 0*v - v. Determine k(d(y)).\nAnswer: -2*y + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) -0.5 (c) 193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*s - 69 = 0, -61 = -5*w - 0*s + 2*s. Let y = w - 18. Let g = 17 - y. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 108*i - 601. What is r(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 12. Let s = 4689\/2 - 2346. What is the biggest value in s, z, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002589997504 rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 130 = -5*n, 2*n + 5*r + 6 = -17. Let c = -4 + 4. Suppose c*s = -2*s - 46. Is s smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 40304202011?\nAnswer: 40304202003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(12\/(-3))\/4*-7. Let a = 312 + w. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*7\/(-42).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10 - 24*j + 69 - 29 wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 8)\/(39\/26) + 6. Solve -7*x = -2*x - l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11285911 + 11285908.1300606. Let z = 2.87 + q. Round z to six dps.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 4*a - 3*a + (2*a + 3*a - 3*a)*(0 + 1 + 0) - 4*a + 0*a + 5*a + 0*a + 2*a + 0*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/4 + -2)\/(7849\/(-188) - -44)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2033*u - 9. Let w be o(1). Suppose b + 4*k = 354 + 173, 4*b = 5*k + w. What are the prime factors of b?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3327921, 6655814, 9983709, 13311606, 16639505, 19967406?\n\"Answer: v**2 + 3327890*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/17*-6*(-15)\/(-405).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12023230032 + 311?\nAnswer: -12023223121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7364 + 18539. List the prime factors of d.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*r**3 + 0*r - 26\/3*r**2 + 0.\nAnswer: -2*r**2*(r + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 330 - 11?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 3*m - 21, 2 = -3*m - 3*t + 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 4 - (-6 - -4) - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 6:59 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-957)*3*1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l**(-7)))\/l)\/l)\/l)**8\/((l*l**11)\/(l\/(l**5*l))) assuming l is positive.\nAnswer: l**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -112*u**2 + 2. Let j(t) = 260*t - 73*t - 67*t - 102*t. What is j(w(n))?\nAnswer: -2016*n**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1037322.761 to the nearest 100.\nAnswer: -1037300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 1 - (21 - (14 - -3524)) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*p + 17 - 2, 2*p = -3*r + 10. Suppose -4*f + r*k - 3*k = 732, -190 = f - k. What is f rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -603*x**2 - 2322 - 435*x**2 + 2322 as m*x**2 + b + g*x and give m.\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4436588, -4436582, -4436576, -4436570?\n\"Answer: 6*n - 4436594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -65. Suppose 2*p - 3*n - 6 = -1, -3*p = -2*n - i. Let w = -18 - -16. Which is the third smallest value? (a) -3\/5 (b) p (c) 1\/4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3618 (b) 0 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179 (base 10) to base 5.\nAnswer: -1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 = 4*a, 111*o - 112*o + 7 = 5*a. Solve 163*d + 15 = 166*d, a*r - 7 = -d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -292, -291, -292, -295, -300, -307, -316?\n\"Answer: -g**2 + 4*g - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1070 divide 111249629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 47?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 82, -629\/5, 0.1, 4?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102904051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*z - 0*z - 4*q, -q = 4*z - 160. Suppose 43*u - z = 38*u. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 11 - 17. Solve 2*k - 3*h - 16 = 0, 5*k + 3*h = -h - v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -10 + (-17 - -16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 - (-65)\/20. Solve -4*t - 5*k + 18 = -3*k, -23 = -4*t + u*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + sqrt(2299) + sqrt(2299) + 3 + 4 + -1*(5 + 3*sqrt(2299) - sqrt(2299)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923182 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/3)\/((v*v\/(v**(-4)*v))\/v))\/((v\/v**(1\/2))\/v*v**(2\/23)))\/(v**8*v*v**(-6))**4 assuming v is positive.\nAnswer: v**(-2335\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1051 - 1051 - 58*x**2.\nAnswer: -58*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c**3 - 5*c**3 - 20*c**3 + (-2*c - 4*c + 3*c)*(2*c**2 + 0*c**2 - 4*c**2))*(0*c + c + c) as z*c**2 + g*c**3 + i*c + m + l*c**4 and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -78914, -78753, -78600, -78455, -78318, -78189?\n\"Answer: -4*x**2 + 173*x - 79083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30806?\nAnswer: 2, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4344 - 3717.2. Let g = -627 + j. Let h = 222 - 2444\/11. Which is the closest to 1? (a) h (b) -3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 plus 0.03?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25136118929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (358*x**2 + 154*x**2 - 365*x**2)*(-2*x + x + 0*x) - 6*x - 4*x**3 + 6*x to the form q*x**2 + d*x**3 + n*x + u and give d.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/17 + 3308446*j\/17 - 6616900\/17.\nAnswer: 2*(j - 2)*(j + 1654225)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)*t*t*t*t)\/t**(2\/9))\/(t**0*t)**(-1\/2)*(t**(-1\/2)\/t*t\/t**4)\/(t\/(t*t**(-4))*t*t**(-2)*t) assuming t is positive.\nAnswer: t**(-67\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 3*t + 14 - 39 + 2.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/10 in -2\/3, 1\/3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 805461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*n**5 - 24*n**2 + 700*n + 1 wrt n?\nAnswer: 280*n**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - 6. Let p(o) = -o + 37. Calculate k(p(b)).\nAnswer: 3*b**2 - 222*b + 4101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 3*h**2 - 2*h - 2. Let l be g(-3). Let b(w) = 12*w**2 - 2*w**3 + w**2 - l*w - 8 + w**3. What are the prime factors of b(12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, 2\/7, -6\/13, 2, -0.3, 47801?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154898109 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2 - 2*n - 1. Give c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*r + 4 = -169*r - 252*r + 9067 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(1*sqrt(5)) - (2 + sqrt(12)))**2.\nAnswer: 4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2 and 13\/584?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -3*j**2\/2 - 52*j + 107. Let s be r(-4). Is -37 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 - 2*m - 2*m**3 + 6 + m**3 + m**2 - 6 to the form i + o*m**2 + v*m + y*m**3 + c*m**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/36 + 40\/(-48). What is the second smallest value in s, -1\/4, -0.1, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*(41 - 181). Suppose -1324 = -33*s - p. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 + -3. Let n = -0.3 + z. Let s = -0.08 - -0.18. Sort s, 4, n in ascending order.\nAnswer: n, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*s + 8. Let j(h) be the first derivative of -h**2 + 4*h - 2. List the prime factors of j(s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.36015 + -14635.03985. Round q to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**7\/168 - x**5\/30 + x**3\/6 - x. Let o(h) be the second derivative of y(h). What is the second derivative of o(f) wrt f?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 1464, -105 in ascending order.\nAnswer: -105, -4, 1, 1464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 2*b**3 + b**2 + (4*b - 4*b + 2*b**2)*(2 + 2*b - 2) + (4*b + 0*b - 2*b)*(b**2 - 2*b**2 + 2*b**2) + b**3 - 3*b**3 - b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -8, 3, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168433, -167983, -167531, -167077?\nAnswer: -166621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3937 - 15660 - 3055 + 2958 - 5754)*(h - 2*h - h).\nAnswer: 50896*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwvdwwvvvwvwwwvwwwd.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -539340, -1078571, -1617804, -2157039, -2696276?\n\"Answer: -z**2 - 539228*z - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a + 1. Let c(z) be the first derivative of -z**2\/2 + 86. What is 9*c(b) - 4*f(b)?\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 713549\/499 or 1430?\nAnswer: 713549\/499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5787744558?\nAnswer: 2, 3, 197, 4896569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4844, 4550, 4094, 3482, 2720, 1814?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -563437\/95 - -5931. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -46*b - 1243. Calculate z(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/6328 + -2979\/1170680. Which is smaller: x or 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + -51309?\nAnswer: -512b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**7\/630 - a**6\/30 + 15*a**4\/4 + 23*a. Let r(d) be the third derivative of i(d). Factor r(t).\nAnswer: 4*t*(t - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 - -101000100000?\nAnswer: 101000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*m**3*p*q*t**2 + m**3*q**2 - 2*m**3*t**3 - 2*m**2*q**2*t + 2*m**2*q - m*q**2*t**3 + p*t**2 wrt m.\nAnswer: 36*p*q*t**2 + 6*q**2 - 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52515 by 52515.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -20 + (-1 - -5) + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*d + 5764 - 15241 = 178*d + 7483 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 23*h - 20 + 110. What is the third smallest value in 3, h, 9\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.174 - 1.1?\nAnswer: -1.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 58. Suppose 5*s = -8 + z. Suppose -s*c + 27000000 = -3*n - 4*c, 0 = -3*n + c - 27000000. Round n to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/27*(-36)\/(-8) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -17. Suppose -z*p = -6*p - 5*m + 659, 2*m - 328 = -2*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 - 68. Solve 0 = -w*x + 4*z + 15, 5*x - 2*z + 0*z = 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/320 - 147*g**5\/160 - 217*g**4\/32 - 18*g**3 + 10*g**2 - 4. Factor o(z).\nAnswer: -3*(z + 1)*(z + 2)*(z + 144)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220 - -2010?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98.96 + 99.46. Let m be (1 + 4)*(-984)\/(-165). Let d = m - 30. What is the second smallest value in d, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 57060*o + 342373. Determine m(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.41639 milliseconds to seconds.\nAnswer: 0.07541639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**4\/12 + 7*t**3\/6 - t**2\/2 - 6*t + 15. Give j(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170*x + 74*x**3 + 170*x)*(87*x**2 + 45*x**2 + 43*x**2).\nAnswer: 12950*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6481, 12961, 19443, 25927?\nAnswer: 32413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**3 - 21*k**2 - 6*k + 7. Let i(w) = 5*w**3 + 18*w**2 + 6*w - 9. Give 6*a(o) + 7*i(o).\nAnswer: -o**3 + 6*o - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9908.\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 34*p**2 - 3930*p - 1724. Give g(116).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37626 and 218.\nAnswer: 4101234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157 + -112. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (39\/11 - 3) + 9\/44. Which is the second smallest value? (a) z (b) -0.3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 40 - 8 = 0. Let q = m - -20. Which is greater: q or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3731, 7473, 11191, 14873, 18507?\nAnswer: 22081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 1, p - 3*p - 24 = -2*t. Solve 3*n = t - 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/((-3)\/(-16)). Suppose 3 = -5*b + y. Let k(u) = 58*u + 1. Is 15 a factor of k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b*b\/(b\/(b*(b\/(b*(b*b**3\/b)\/b))\/b)))**(1\/17) assuming b is positive.\nAnswer: b**(2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -5*i**7\/84 + 11*i**6\/30 - 19*i**5\/20 + 4*i**4\/3 - 13*i**3\/12 + i**2\/2 + i. Suppose g(p) = 0. Calculate p.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*z - 3 = -800*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 43*w - 46*w. Suppose f - w*f = 0. What is the fourth smallest value in -2, -5, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -44*i - 756. Let q be s(-17). Let m(w) = -w**3 - 11*w**2 - 25*w - 15. Give m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 8:53 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 - 48 - (-23 + -3).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -35*r**3\/6 + r**2 - 7*r + 3. Let v(w) = -3*w. What is v(c(k))?\nAnswer: 105*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000867003 to 6 decimal places.\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(190) + (sqrt(190) - sqrt(190)*6) + sqrt(190) + sqrt(190) - sqrt(190))\/sqrt(10) + sqrt(19) + (3*sqrt(1216))**2).\nAnswer: -32832 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {o: 2, m: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -388, -823, -1258, -1693?\n\"Answer: -435*h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 617669, 1235340, 1853011, 2470682, 3088353?\n\"Answer: 617671*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 7*l + 14. What is the lowest common multiple of i(-7) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 41*g**2 + 17*g + 68. Let p(j) = 21*j - 106. Let a be p(6). Let x be d(a). Solve 0 = b - 2*k + 5, 2*k - 7*k = -b - x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 21*y**3 + 37*y - 35*y - 1 + 3*y**3. Determine w(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23057953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 4. Let f be q(3). Let g be (2 + -1)*-2*f. List the prime factors of ((-1)\/2)\/(1\/g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3 - 1802*t**2 - 7196*t - 7192 = 0.\nAnswer: -1798, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 593111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*f**2 - 322*f**2 + 84*f**2 + 121*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2 + 0 + 1 + 1 + (1 + 3 - 2)*(2 - 2 - 2) + 5 - 1 - 3)*(-2*u**2 + 2*u**2 + u**5).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17199 from -6053.230605.\nAnswer: -6053.402595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63663802 is divided by 85916?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -66 in descending order.\nAnswer: -2, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 divided by 100862?\nAnswer: 633\/50431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 16. Let f be (-1)\/s - (-2)\/(-4). Let g = 23.9 + -24. Sort f, -0.3, g in ascending order.\nAnswer: f, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6316 = -37*w + 38*w - 2*c, -4*w - 25288 = -2*c. Round w to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 5*b + 10. Suppose 11*j + 10 = 13*j. Let i be t(j). Solve 5*u - 2*f = 6, 2*u - 3*u = 4*f - i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 613 - 145. Suppose 611 = 5*h + 4*j, -4*h - 2*j + r = -4*j. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 357548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - 3*u + 3. Let p be s(4). Suppose -2*i + 6*i - 14 = d, 3*i = -5*d - 1. Suppose 0*h = i*h - p. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*d - 900*d + 454*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 1 + (-10 + -3 - -19).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 8:58 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0431 - 730.7569. Let x = 797 + h. Round x to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {u: 1, n: 1, m: 1, g: 1, y: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 + 342*m**3 + 1539*m**2 - 630894*m + 1869840 = 0. What is m?\nAnswer: -40, 3, 53, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-1\/3)\/b*b))\/b*((b*b*b**9*b)\/b)\/b)\/(b**(1\/2)\/b*b)**16 assuming b is positive.\nAnswer: b**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16*z. Let p(r) = 1341770*r. Determine w(p(u)).\nAnswer: -21468320*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35396, -35409, -35460, -35567, -35748, -36021, -36404?\n\"Answer: -3*m**3 - m**2 + 11*m - 35403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163415 = 41*g - 181*g - 21*g. What is the greatest common divisor of 175 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*y + 7*y**2 - y**2 + 0*y**2 - 3*y**2 to the form g*y**2 + i + p*y and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 s when four letters picked without replacement from sqsqssqssqs?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1573) + 2)*6 + 4)**2 - -2*-1*(sqrt(1573) + (sqrt(1573) - (1 + sqrt(1573)))**2*3)) + -4.\nAnswer: 2354*sqrt(13) + 56942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*w - 816, 5*v - 9*w = -6*w + 1384. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2628 and 4299116?\nAnswer: 38692044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(1401\/(-62096)). Let i = p + -5\/934. Find the common denominator of i and 15\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2 - 5, 1 = 4*x - o. Let y(t) = t**2 - 7*t - 16. Let c be y(9). Is x != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2836*g**2 + 1099*g**2 - 1152*g**2.\nAnswer: -2889*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3650 + 563. Let k = n + 8477. Suppose -3815 = 2*b - 5*d, 5*b - d = d - k. Round b to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 59*y**3 + y - 1. Let h be c(1). Let o = h + -47. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1860 (b) 3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 162508750 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s + 2*s)*(3*s - 4*s - 5*s)*(-2998 - 38*s + 2998).\nAnswer: -228*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5 + 41. Suppose 197 + 10 = u*y. Let w(r) = r - 1. Let q be w(6). Solve -4*b + y*b = -p - 10, q*p = -4*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*s - 25, -69*s = -67*s + 4*t + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(153)*-1*6 - sqrt(153))\/((sqrt(36)\/sqrt(2))\/sqrt(2)) - ((0 + (sqrt(68) + sqrt(68) + 0 + sqrt(68) - sqrt(68)))**2 + 4)).\nAnswer: -1104 - 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -270 + 456. Suppose 0 = 20*y - 31*y + 682. What is the greatest common factor of y and q?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 487809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58522912 and 87962.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**3 - 9*w**2\/2 - 6*w - 3. Factor u(j).\nAnswer: -3*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 14*m**2 + 12*m + 9. Let c be f(15). What is the common denominator of (-223)\/30 - 48\/c and 85\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 804 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 101794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26214\/25 less than or equal to 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60, 78, 102, 126, 144, 150, 138, 102?\n\"Answer: -j**3 + 9*j**2 - 2*j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25f2c - -35?\nAnswer: 25f61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -100122220011 (base 3) to base 7\nAnswer: -1421332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/90)\/((-1)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**2 + 11745*x + 151840 = 0. What is x?\nAnswer: -2336, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**4\/2 - 83145*w**3 + 166335*w**2\/2 + 665150*w - 997770 = 0.\nAnswer: -33259, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 52 = 3*g, j - 2*g + 9 = -9. Let o be ((-32)\/20)\/(2\/j). Suppose -o = -y + 15. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, 1\/8, -0.5, -120.3 in decreasing order.\nAnswer: 0.4, 1\/8, -0.5, -5, -120.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 7, 23, 59, 121, 215?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 71564 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*p - 2284, -5*b = -5*p + 2953 - 653. Let d = -201 + p. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(2\/(-44)*-2). Suppose -4*r = -2*n - n - s, 25 = 5*r. Suppose -n*v + 4*v = 2. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 10*l + 3. Let j be o(-10). Let h(v) = 3*v**2 - 1. Is h(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 226. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8597 + 5?\nAnswer: -8592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232179 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -109189, -873827, -2949393, -6991351, -13655165?\n\"Answer: -109244*x**3 + 70*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. What is the second derivative of 0*g - 2 - g**5 + i*g + 2 wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 115*r**3 - 8*r**2 + 16*r - 9. Let o be v(4). Suppose -4*p + o = -g, 5*p + 2*g - 11946 + 2821 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 223*l**3 - 31 - 11 - 225*l**3 + 180 in the form q + j*l**2 + k*l**3 + n*l and give q.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/395 - 479\/33180. What is the closest to b in 2, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by 13.\nAnswer: 88\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**2 + 36*z - 36*z)*(-7 + 9 + 3)*(-z**2 + 0*z + 0*z) + (-4*z**4 + 0*z**4 + 0*z**4)*(2 - 2 - 1) to q + p*z**3 + m*z**2 + h*z**4 + o*z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-6)\/10 - -1). Let p(n) = -n**3 - 10*n**2 - 8*n + 6. Let u be p(-9). Let q = v + u. Solve q + 1 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*n + 880 = 61*n. Let y = 110 + n. Solve -5*u + y*u - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 36 + 56 = 0. Let p be h - -2*(6 + 1 + 3). Suppose 51 = 9*z + 15. Calculate the highest common divisor of z and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/(3\/(-10)). Suppose 5*u + 0 - 5 = 0. Let z = f + u. Calculate the least common multiple of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*g + 6 + 109 = 0, -g + 113 = 4*z. Suppose 2*i + 2*j = 7*j + 19, 2*i + 4*j = z. Calculate the greatest common factor of 48 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1239123*r - 7434742. Calculate j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/114 and -41\/10?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3719 + 20*l**3 + 6259 - 1269 - 1271.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-368)\/168)\/(797\/2391).\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.3 - 13.9. Which is the closest to -0.1? (a) 6 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -5*k - 3*z + 3, 5*z = 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-3 - (-17 + -1169 - (4 - 3)))*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k - 12. Let o be x(-3). Let a be (-4)\/(-14)*(-42)\/o - -2. Solve -n - n = -a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 2) to base 5.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.13 (b) 4\/5 (c) -1 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000110294 rounded to seven decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(6\/(-2)) - -1. Suppose 1 = -z*c + 3. Let n be (-11)\/4 - 30\/(-36)*15\/(-50). What is the closest to -2 in 3\/2, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*s**2 - 3*s**4 + 16*s**2 - 102*s**2 + 4*s**4 - 19*s**2 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20879043 a multiple of 969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -120106591 times 0.4\nAnswer: -48042636.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/(1\/(-24)). Suppose 59 + 103 = 6*p. Let b = p + -19. Calculate the greatest common factor of f and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 7*x - 20 = -2*x, 0 = -2*w - 2*x - 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.186317 micrometers?\nAnswer: 4186.317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 46*k**2 - 22*k**2 - 29*k**2 - 26*k**2. Let q(w) = -w. What is q(t(m))?\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/6)\/(4\/18) + 153 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and -3.7.\nAnswer: -13.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from {i: 3, n: 6, w: 5, c: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -3, -8, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*(sqrt(800) + 3 + sqrt(800)) - (3*-3*sqrt(800) + sqrt(800))))**2 + 3.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47830294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191620 (base 12) in base 8?\nAnswer: 1527470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34292299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6675 - 11502 + 4001 - 11295)*(2*m**3 - 2 + 2).\nAnswer: -50942*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*(-10395)\/(-297).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-1*1 + -16). Suppose 4*l - 3*l = 5. Suppose l*r = -6 + m. Solve -r - 4 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -301 or -270?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 25075056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 - 6278642*n**2\/7 - 6278640*n\/7.\nAnswer: -2*n*(n + 1)*(n + 3139320)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + h + 0*h + 2*h**2 + 1)*(-3*h + 9*h - 2*h).\nAnswer: -8*h**3 + 4*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - 93. Let x = 18 - 35\/2. Is k smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205600755?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -588, -3777, -9030, -16299, -25536, -36693, -49722?\n\"Answer: 8*i**3 - 1080*i**2 - 5*i + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.005556*-25\nAnswer: 0.1389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 4*i. Let q be v(4). Suppose -5 = -5*o - q. Put 0, -11, o in ascending order.\nAnswer: -11, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -373, -764, -1287, -1936, -2705, -3588?\nAnswer: -4579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 226*j + 671. What is z(-4)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 466135*i**2 - i - 2. Let v be m(-1). Let p = 278134 - v. Round p to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*k - 2. Let a = 2 - k. Let y be (-83 - a)*(-90)\/7. What is y rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -32. Suppose -h + 65 + i = 0. Let v = h - 57. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 9:05 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22643473 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134384134.\nAnswer: 2, 7687, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5108 = -20*j + 5028 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r. Let c(m) = 3 - m**2 + 0*m + 0*m + 0*m. Let s be 9\/(-6)*8\/(-3). Let p(w) = w**2 - 4. Let l(u) = s*c(u) + 3*p(u). Calculate f(l(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1596 + 1589. What is the second biggest value in 5, d, 140?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + v**3 - v + (-44*v**2 - 2 + 379*v - 379*v)*(3*v - 3*v + 2*v).\nAnswer: -87*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 172708.1183 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69 - 84?\nAnswer: -ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20379.86 years in centuries?\nAnswer: 203.7986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -16*c**2 - 35*c + 3206. Let p(y) = 9*y**2 + 20*y - 1602. Let v(r) = 7*p(r) + 4*q(r). Let i(m) = -2*m. Give i(v(a)).\nAnswer: 2*a**2 - 3220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + sqrt(500) + 5 + sqrt(500) + sqrt(500) - ((sqrt(80) - (sqrt(80)*-1 - sqrt(80))*1) + sqrt(80))))**2.\nAnswer: 140*sqrt(5) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.059 + 6.749. Let v = -0.092 - y. Let i = v - -7.9. What is the third biggest value in i, 7, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 + -2710667165602.\nAnswer: -2710667165557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2515149 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/679 - -21103\/6111. Find the common denominator of f and (-35)\/(-44)*-2*-2.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 24. Let n = 1.6463 + -1.1463. What is the closest to w in n, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5 - 65240*f**4 + 130472*f**3 + 4*f**2 - 130474*f + 65236 = 0. Calculate f.\nAnswer: -1, 1, 32618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 4. Let v(i) = i**2 - 24*i - 16. Let o = -8 + 10. Let f(q) = o*v(q) + 9*g(q). Factor f(b).\nAnswer: 2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 15*p**2 + 27*p + 14. Let f be y(-13). Which is smaller: f or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 + -11 - -9) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - k**2 - 2*k**2)*(-k**3 - 2*k**3 - 3*k**3) + (0 + k + 0)*(-3*k**2 - 2*k**4 + 3*k**2) - 2*k**5 - 2 + 2.\nAnswer: -10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i*i)**(6\/5))**21 assuming i is positive.\nAnswer: i**(252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 95*o**3 - o**2 - 5*o + 8. What is the tens digit of i(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12228000 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51182927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 319593735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = -j - 2*j, -4*i - 2 = j. Let z = -1 + i. What is the units digit of 0 + 1 + 8 + z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -2*l**7\/35 + 2*l**6\/15 - 2*l**5\/25 + 18*l. Factor x(b).\nAnswer: -4*b**3*(b - 1)*(3*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 14202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/776, -247, -2\/13?\nAnswer: -3\/776","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(1\/2))\/(r\/r**(-1\/3))*(r\/(r\/r**(-1\/4)))**(-11))**(2\/3))**(17\/4) assuming r is positive.\nAnswer: r**(391\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 7 + 23. Sort -5, n, 4 in decreasing order.\nAnswer: n, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*q - 24*q + 44*q + 53*q as t + s*q and give s.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0\/h)**(-36)\/(h*h*h**(-2\/5)*h)**13)**(-46))**(-2\/37) assuming h is positive.\nAnswer: h**(1012\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/(-10)*24\/15. Suppose -2*j = -3*v + 1072, -l*v + 1274 = -5*j - 146. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 425314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -25. Let z(u) = -u**2 + 18*u - 32. Suppose -v - v + 30 = 0. What is the remainder when h is divided by z(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -189.409 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - 0 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 13*x**2 - 12*x - 7. What is v(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 8*g. Let o be j(6). Let c = o + 11. Calculate the highest common factor of 23 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -142, -136, -130, -124?\n\"Answer: 6*b - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and -0.38?\nAnswer: 14.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6163*x + 3359*x + 1060*x.\nAnswer: 10582*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 11:04 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*x = -2*u - 4, 3*x = -u - 3. Suppose -4*w + 3*g = 3, u*g - 10 = 5*w - 5*g. Suppose 0 = -k - w*k. Solve -5*t - 1 - 4 = k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4) - 1\/(-2). Suppose -3 = -w - a. Let t(c) = c**3 + c**2. Let b be t(-2). Sort w, -2, b.\nAnswer: b, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**2 + 569*u**3 - 538*u**3 - 9*u**2.\nAnswer: 31*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -137990800 rounded to the nearest 100000?\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 + 16 - 37 + 0*z**3 - 6*z + 0*z**3 + 32 to a*z**2 + k*z + h*z**3 + s and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 26. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -10. Suppose l*b - 22 = 5*n, -b + 9 = 4*n - 6*n. Let o = -0.7 + 0.6. Which is greater: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(2\/(-2) - -3). Let q(l) = i - 6 - 8 + l. Let k(s) = -12*s**2. Calculate k(q(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(3\/7)*s**(2\/35)\/s*s)**36*s**3*s**4*s**(-7)*s**(-4\/3) assuming s is positive.\nAnswer: s**(2236\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 55045?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.05011\nAnswer: 0.05011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/139 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -13300.438049 to the nearest 100.\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Suppose b*j = j. Let w = -513 - -519. Solve -2*r + 0 - w = j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -7*j - 105. Put -2, j, 1 in increasing order.\nAnswer: j, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-1) + 0 - 3. Let i = -29 + n. Find the common denominator of 52\/10*20\/36 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**5 + 5*r**2 + 0*r - 5\/3*r**3 + 19 - 5\/2*r**4. Find f such that y(f) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -150, -128, -86, -18?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 - -251. Calculate the greatest common factor of h and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzeettetyy. Give prob of picking 1 z and 1 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**2 - 1. Let c(m) be the first derivative of 4 + 0 + m**2 - 2. Give c(q(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, 1.49, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5)*(-56)\/(-126)*(-1377)\/204?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 474 = -0*w. Let n = w + -138. Suppose -160 + 1385 = 49*g. Calculate the remainder when n is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -35, 5, 36, 0 in descending order.\nAnswer: 36, 5, 0, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8314.35 minutes in microseconds?\nAnswer: 498861000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/9 (b) 1.6 (c) 120.04 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95 + 103. Suppose 2*g + c = 13, 3*g - 5*c - 5 = m. Calculate the smallest common multiple of 24\/9 - 2\/(-6) and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1086 + -470. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/32, 1604, 2, 0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 94*g + 42. Determine w(-3).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -9*t**5 + 96*t**4 - 141*t**3 + 54*t**2 = 0.\nAnswer: 0, 2\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -926, -876, -744, -482, -42, 624?\nAnswer: 1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 31, -1\/6, -1, -52, -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k + 37*k - 19*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0665 and 115059558?\nAnswer: 115059558.0665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -59, -2, 2 in descending order.\nAnswer: 5, 2, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -9571770642.\nAnswer: -9571770646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -492.260235788+0.158\nAnswer: -492.102235788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -11*h + 50. Let s be (h - 11)\/8*1. Is s not equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 17*g - 22*g - 15, 0 = 4*x + 4*g + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2950893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627*l + 2136 = -623*l. What are the prime factors of l?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 1, f: 3, h: 1}. What is prob of sequence kho?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n + 0 + 423*n**4 - 1280*n**3 - 81\/2*n**5 + 1200*n**2.\nAnswer: -n**2*(n - 6)*(9*n - 20)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/19 + 1\/57. Let x(r) be the second derivative of 1\/2*r**2 - 3*r + n*r**3 + 0. What is the first derivative of x(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 5 + 3)*(-6*n - 2*n + 3*n)*(-2 + 0 + 3)*(-n**2 - 2*n**2 + 2*n**2) as c*n**3 + p*n**2 + d + s*n and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4274450725?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -22*o + 2. Let r(z) = -1. Let m(g) = f(g) + 2*r(g). Let y(u) = -2*u. Determine y(m(h)).\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*z + 16 + 15, 2*u - 3*z = 4. Let r(d) = 1 + 5*d + 8*d**3 - 3 - 9*d**3 + 6*d**2. What is the tens digit of r(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 146, -370, 2, -29, -5 in ascending order.\nAnswer: -370, -29, -5, -3, 2, 4, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6752875900 rounded to the nearest one million?\nAnswer: -6753000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -729, -1598, -2805, -4344, -6209, -8394?\nAnswer: -10893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -328*u + 2790. Determine y(9).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 11\/6*b**2 + 32\/9*b + 12 + 1\/27*b**3. Factor o(f).\nAnswer: (f + 1)*(f + 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2262 (base 12) to base 2\nAnswer: -111011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -470, 871, 2212, 3553, 4894?\n\"Answer: 1341*y - 1811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -7*s**6\/15 + s**5\/5 + s**3\/6 - 7*s**2 + 4*s. Find the third derivative of r(i) wrt i.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-9)*(-2)\/(-4). Suppose -11*x + 8 = -14. Let k be (9\/96)\/(1\/4). What is the nearest to k in x, 4\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3396 + 50906\/15. Calculate the common denominator of z and -121\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32\/11 (b) 4\/7 (c) -1\/10 (d) -0.65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1634 is divided by 644.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 z when three letters picked without replacement from {z: 9, r: 5, e: 2}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.22 greater than or equal to 82296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100113061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 127. Suppose -54*z = -n*z - 174. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212942 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18865*m + 11058.\nAnswer: 18865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 71, -23, -18, 3 in increasing order.\nAnswer: -25, -23, -18, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Let l(h) = -h - 2*h**2 - 5*h**3 + c - 2 - 4*h**2 + 5*h. Let s(o) = 4*o**3 + 5*o**2 - 3*o - 2. Determine 3*l(n) + 4*s(n).\nAnswer: n**3 + 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.341665 to 2 decimal places.\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.5 (b) 0.2 (c) 4\/9 (d) 2\/3 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -563612909+-6874.6\nAnswer: -563619783.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 176 = -0*l. What is the remainder when l is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5208060 by 4.\nAnswer: -1302015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f = -4*h - 29*f + 15, -2*h + 4*f + 12 = 0. Let c = 29 - 22. Suppose 0 = -c*n + 4*n. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*b - 117 + 110, -5*g = b + 26 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 4) in base 7?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**4\/c)\/(c*c\/(c*(c*c**(4\/7)*c)\/c)))\/(c**(-1\/2)\/(c*c**(-5))))**49 assuming c is positive.\nAnswer: c**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2*n**2 - 3*n - 26. Let d(f) = 3*f - 3. What is -5*d(i) + 4*m(i)?\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 327 = 2056. Which is smaller: d or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 5*s**2 - s - 9. Let f be r(-5). What is the closest to 1 in -0.07, f, -0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -103, -29, 93, 263, 481, 747?\n\"Answer: 24*s**2 + 2*s - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1931439*v**3 + 1054984*v?\nAnswer: -11588634*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s = -2*z + 57, 3*z = 2*s + 98. What is the remainder when 128 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 119201 = -3*l, 0*c + 3*l - 119207 = -4*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(17) + -2 - (sqrt(17)*2)**2*5 - (sqrt(136)\/sqrt(8)*3 + (sqrt(85)\/(sqrt(5)*-5))**2)) + 1.\nAnswer: -8542\/25 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 6*q - 4*q)*(-2*q + 3*q - 3*q) - 3*q + 3*q - 4*q**2 + (3 + 3*q - 3)*(-3*q + 0*q + 5*q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283124 is divided by 59.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k*u - 447246*k - 6127728*u with respect to k.\nAnswer: 5*u - 447246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669352 is divided by 117.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (4 - 3)) + (-116)\/36. Let t = -0.01 - -0.12. Let r = -0.09 - t. Which is the second biggest value? (a) u (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -3, 0, 1 in descending order.\nAnswer: 3, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c + 6*c - 13*c - 6*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 14*s + 14. Suppose 86 - 59 = 3*o. Let i(h) = -h - 2*h - o - 6*h. Give 8*i(d) + 5*z(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 952 + 36. Is (o\/6)\/(26\/39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 divided by 3\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -14*d**2 - 4. Determine w(2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 0.46514.\nAnswer: 0.26514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 14*i**2 + 19596*i - 39187. Determine t(2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**34\/s*s*s)\/(s**(-13\/2)*s) assuming s is positive.\nAnswer: s**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 11*a - 220 = 0. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 9*k - 7. Let q be f(-8). Let z be (-21)\/q - 1\/1. Which is the smallest value? (a) z (b) 6 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 13*z**2 - 16*z - 135. Let d be m(15). Solve -27*c - d = -12*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101010201000011 - -12222?\nAnswer: -101010200210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 6. Let u(b) = -b + 5. Let c(w) = 5*n(w) + 6*u(w). Let i = 10 - -13. Let p(j) = -23*j + 23 - i. Give c(p(f)).\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 703 - 694. Solve h*n + 18 = -0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**8\/(u\/(u*u*u\/u**(-7)*u*u)))**(8\/5))**(-1\/85) assuming u is positive.\nAnswer: u**(-152\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06618 - -0.05689. Round l to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((1*sqrt(156) - sqrt(156) - sqrt(156)) + sqrt(156)) + sqrt(156) + (sqrt(156) - (sqrt(156) - -2*sqrt(156)))*6)*-3)\/(-5*4*sqrt(108)*-3).\nAnswer: 11*sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1179 - -1288. Solve -o*c - 57 = -90*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 12:50 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + y + 1. Let u be d(-2). What is the second derivative of 10*g**u + 0*g**3 + 2*g - g wrt g?\nAnswer: 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 9, 8, 5, 0, -7?\n\"Answer: -a**2 + 4*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((34\/24)\/17). Suppose -10 = -3*a - x*l, 5 - 1 = -2*l. List the prime factors of (-4)\/a + (-5)\/(30\/(-208)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -4. Let p = 57\/445 - 413\/445. Which is the closest to 0? (a) -2\/13 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 80*r**2 + 88*r + 667. Calculate y(-79).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 42 + 58 = 0. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/12 + 10\/(-8). Let p be 3\/6 - t\/(-4). Let f = 9 - 6. What is the third smallest value in f, 0, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7972 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -1\/6*s**4 + 0 + 0*s - 1\/30*s**5 - 1\/3*s**3 + 2*s**2. Determine b so that z(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 18 = -3*k, 314*k - a = 311*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36.33 and -0.20686.\nAnswer: -36.53686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/(-378))\/(14\/(-27))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0075 equal to -134748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20000 divided by 20?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 216977 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/39)*f*f*f*f\/((f**1*f)\/f))\/(f\/(f\/(f\/(f\/(f\/(f*f*f**(-2)*f*f)*f)*f*f))*f))**(-1\/16) assuming f is positive.\nAnswer: f**(1771\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m*v**4 + m*v**2 + 332396*m*v + 2*m + 249019*v**4 + 1 wrt v.\nAnswer: 12*m*v**2 + 2*m + 2988228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 + 150304?\nAnswer: 150274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-56) - (-790)\/14. Let w = d - 24. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - u + 3*u - 2 = 0, 0 = 2*m + 2*u + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 - 220*m**3 + 60*m**2 wrt m?\nAnswer: 60*m**2 - 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) + sqrt(252)*-2 + sqrt(252))*4)\/(sqrt(4)*2*5))\/(-2*4*(sqrt(900) - (sqrt(900) + sqrt(900)*1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**5 + 115*a**4 - 380*a**3 - 80*a**2 + 1600*a - 1520.\nAnswer: -5*(a - 19)*(a - 2)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66907\/24 - 2783. Find the common denominator of c and -7\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13128, 52477, 118072, 209925, 328048, 472453?\n\"Answer: 2*r**3 + 13111*r**2 + 2*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/39465 and -59\/1377.\nAnswer: 6038145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -11\/6*j**3 + 1\/8*j**4 + 0*j - 5*j**2 - 11. Let q(r) be the second derivative of l(r). Differentiate q(v) wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -12 (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-825)\/(-22))\/(-25))\/(-5*(-3)\/(-210)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -175, -294, -413, -532?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1600, -1704, -1988, -2542, -3456?\nAnswer: -4820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6*-1)\/((-10)\/(-45)). Which is the second smallest value? (a) -11 (b) k (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20508 - 19?\nAnswer: 204bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 v when three letters picked without replacement from ffwivfifvvv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (0 - 1))*(-56)\/(-8). Suppose -i = -r - 0*r. Suppose 0 = -f + 5 + r. What is the remainder when 36 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764844 (base 10) in base 14?\nAnswer: 15ca3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48598 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -3, -178, -4, 4 in ascending order.\nAnswer: -178, -4, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*u - 5*u**2 + 84*u - 52*u in the form r + x*u + c*u**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*k**3 + 15552*b**2*k + b**2*x**2 + b*k**3*x - 4*b*k**2*x**2 - 10*b*x**2 - 394*k**3 wrt b?\nAnswer: 4*k**3 + 31104*k + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5345.643us in seconds?\nAnswer: 0.005345643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, r: 1, d: 2, h: 1}. Give prob of sequence hdr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -2*t**3\/3 - 4. Let s(w) = 5*w**2. Calculate s(c(d)).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - 45. Let i = w + 89. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 9:39 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 992255987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 + -151. Let w = q + 50.0057. What is w rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + j - j)*(-j + 4*j - 6*j + (-j + 2*j - 2*j)*(0 + 1 + 2)) - 3*j**2 - 32 + 32 - 2*j to i + k*j + x*j**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1190.8 + -1173. Let i = 0.01 - -17.99. Let b = w - i. What is the biggest value in 0.1, b, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20230744.\nAnswer: 2, 19, 133097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/5 - 424323*z\/5 - 33502794\/5.\nAnswer: -3*(z + 79)*(z + 141362)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3168650593 to the nearest integer?\nAnswer: 56291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 37*w - 71. Calculate y(-19).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 3*d**5\/20 - d**4\/6 + 2*d**3\/3 + 3*d**2 + d - 6496. Let z(r) = -16*r**3 + 11*r**2 - 21*r - 29. Determine 11*u(i) + 2*z(i).\nAnswer: i**3 + 2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/(-3))\/((-352)\/1056).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**4\/24 + 27*o**2 + 3*o - 4. Let g(z) = -6874*z**2. Determine u(g(j)).\nAnswer: 6874*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1373 - -3)*(3\/6)\/(-1). Let p = -144 + m. Is p a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*11\/(-528))\/(-14 + (-1417)\/(-104))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 12*o - 1455. Let h = o + -170. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 216 = 0, -u + 2*u + 12*w - 15*w + 37 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l - 7. Let f(s) = s - 1. Let t(w) = 2*f(w) + v(w). What are the prime factors of t(-10)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*q + 0*q - 1)*(-29 + 29 - 2*q).\nAnswer: -4*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 1 + 4. Suppose -t = 4*t - 20. Let w(d) = -2838*d + 14190. Let q be w(5). Solve -v + t - a = q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1094, 8937, 30278, 71873, 140478, 242849, 385742, 575913?\n\"Answer: 1126*s**3 - 7*s**2 - 18*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*l - 66 = 9, l - 1 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534000974?\nAnswer: 2, 13, 17, 41, 79, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -28, 53 in decreasing order.\nAnswer: 53, 5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/10*-2 - (-42)\/10. Let p = h + -12\/5. Let c = 209\/5 + -3981\/95. Put -16, p, c in decreasing order.\nAnswer: p, c, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 6*a - 2*a)*(17 + 2 + 17 - 9) + (-2*a + 5*a - 4*a)*(3 + 1 - 2) - 2*a + 5*a - 2*a - 4*a - 3*a + 5*a.\nAnswer: 132*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 774 - 8565\/11. Find the common denominator of m and -32\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66 + -160?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 - 5*m**2 - 24. Let g(t) = t**3 + t**2 - 1. Calculate -5*g(c) - z(c).\nAnswer: -2*c**3 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-40))\/z*(z\/z**(-16))\/z*z*z*(z*z**(7\/11)\/z)\/z*z*z**(-2\/15))**(-41) assuming z is positive.\nAnswer: z**(-395773\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 18*w - 31*w = -6, -15*v = 2*w - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + r**2 - 3*r**3)*(-4 - 1 + 3) + (-2*r - 4*r - r)*(3*r**2 - 22 + 22 + 2*r) in the form f*r**2 + d + j*r**3 + c*r and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 2*f + 20240. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.11 + 0.11. Let m = d + 10. Let j = -14\/33 - -1\/11. What is the second smallest value in -3, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 261056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254752352 by -113324.\nAnswer: 2248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.99 - 0.01. Let k = z - 1. Let w = 1.2 + -1.4. Put k, 2\/9, w in decreasing order.\nAnswer: 2\/9, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20326\/29 + 701. Let k be ((-9)\/(-6))\/(-3)*2. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85.731 - -86. Round t to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3795 equal to -3552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 - 3*w + 1. Let b(k) = 8*k**2 - 7*k + 3. Let a = -563 - -554. Let s be (-9 - a)*2\/4 + -2. Give s*b(u) + 5*d(u).\nAnswer: 4*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 2*x - 3*x + (-2 + 0 + 0)*(-x - 4 + 4) - 2*x - 2*x + 5*x + (0*x + x - 3*x)*(-3 + 3 - 1).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.85 - 612.85. Let m = 609.998143 + v. Round m to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 45*a**5 + a**4 - 3*a**2 - 62*a. Let r(w) = 89*w**5 + 3*w**4 - 7*w**2 - 125*w. Let u(k) = -3*r(k) + 7*x(k). Find the second derivative of u(h) wrt h.\nAnswer: 960*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 216*n**2 + 1. Let t(b) be the third derivative of b**4\/24 + 7*b**3\/6 - 5*b**2. Let v be t(-8). Is f(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 3. Let z be (-4 - -2)\/(f\/6). Let y be z\/4 - 6\/(-2). Solve -2*c + 14 = -4*w + w, c - 5*w - 21 = y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/16*(-18 + -2). Suppose 0 = 3*g - g - 4. Let o(n) = 3*n - n - n**2 - n**g. Let d(w) = -4*w**2 + 4*w + 1. Determine p*o(b) - 2*d(b).\nAnswer: -2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 16*u + 1638. Let p = u + 235. Let l(x) = 1 - x**3 - 2*x + 0*x**3 + 0*x**2 - 3*x**3 + x**2. Calculate l(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j. Suppose 2*i + 50 = -2*i - 2*s, 5*s = -4*i - 53. Let n = 10 - i. Suppose b - n = -b. Let y(k) = k. Give b*y(z) + 2*v(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from {j: 1, t: 1, s: 5, p: 4, r: 1, n: 7}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-64 + 50 - -26) + -20 + -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 117*w + 26 = -118*w, -5*w = 3*z - 10. Solve o = z*o + 25*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -5\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -673, -1328, -1741, -1912?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -65899821 + -2?\nAnswer: -65899823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*f - 5477 = -5478, 3*v = -5*f + 27 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14760.19 less than 3?\nAnswer: 14763.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1645, -1542, -1437, -1330, -1221, -1110?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(84)*1)\/sqrt(12) + 5)**2.\nAnswer: -128 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87930 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 43*b + 11*b - 1692. Suppose z - h - 9 = 0, -5*h - 39 = -4*z - 0*h. What is the highest common factor of z and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.481 rounded to one dp?\nAnswer: 67.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1716 by 66.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80 + -73 - (-1 - 1*-1). Suppose 0 = g*f - f. Suppose 2*m + 13 + 17 = 5*p, 5 = 5*p + 3*m. Solve -p = -f*o - 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50048 + 18834 = -798*y + 11191 + 30213 for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97351, -97396, -97435, -97468, -97495, -97516?\nAnswer: -97531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*v + 3456 = 90*v. Let c = -365 - v. Calculate the remainder when 245 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/21 - 26\/39. Let t = -58.9 + 59. Sort c, t, 0.4, 4 in descending order.\nAnswer: 4, 0.4, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -268*y**2. Let z(t) = -6*t**2. Give u(z(s)).\nAnswer: -9648*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o + 5*u - 5 = 0, 2*o + 15 = 5*u. Suppose -665 + 10 = -o*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 715, 86, 24.\nAnswer: 24, 86, 715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2031054784.\nAnswer: 2, 11, 2885021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(448)*6 - (2 + sqrt(448) + -2 + -4))**2.\nAnswer: 400*sqrt(7) + 11225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j - 5*y = -679, -3*j - 3*y = -1041. Let l = j + -105. Let f = l - 116. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 10, 3, -6?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 9*r**2 + 75*r - 613. What is k(10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2298305nm in centimeters?\nAnswer: 0.00000002298305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 8*k**2 - 7*k + 5. Let w be z(-7). Suppose 8 = w*c - 2. Factor 20*l**c - 6*l**3 - 20*l**2 + 3*l**4.\nAnswer: 3*l**3*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((48\/(-28))\/3)\/(4\/(-14)). Solve -2*i = -3*i - v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2.9. Let o be -3*(2\/3)\/(-2). Suppose 0*s + s = -o. Which is the closest to s? (a) z (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 2 - 1)*(-g - 4 + 4) + ((0 - 2 + 1)*(2*g - 2*g - g) - 9*g - 2*g + 7*g)*(3 - 2 + 0))*(4 + 1 - 6) to k + a*g and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {y: 1, c: 1, f: 2, b: 2, e: 2, i: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 9*w + 31. Give p(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 19 + 3 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 557 - 557.000000331. What is u rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5150)\/(-721))\/(-3 + 23\/7). Solve -5*q + 2*p = v, -2*q + p = 17 - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240 divided by -16\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5637*z + 5637*z - 16909*z - 1 + 5634*z + 4 - 102*z**2 - 5.\nAnswer: -102*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12225 + 3035. List the prime factors of o.\nAnswer: 2, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*c + 3*q, -2*c - 3*c = -5*q. Let z(b) = -c*b**2 - b**2 + b**2 - 1 - 2*b. What is z(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5315, -2622, 93, 2842, 5637, 8490, 11413?\nAnswer: 14418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + 0 - (5*-1*sqrt(3) + 5)**2) + -2 + (sqrt(108)\/sqrt(4))\/sqrt(9) + (4*sqrt(3)*1)**2.\nAnswer: -54 + 67*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31686, -63328, -94970, -126612?\nAnswer: -158254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j - 468*j**3 + 206*j**2 - 207*j**2 + 1444*j**3 to the form u*j**3 + q + k*j**2 + t*j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2412 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*z**3 + 4*z**3 - 9*z**3 - 19*z**3.\nAnswer: -64*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = p - u, -3*u = -2*p + 3*p - 5. Suppose -3*o - 3*o = -18. Calculate the remainder when 188\/16 - (-2)\/p is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2063774139 to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(136) + sqrt(136))*5 + sqrt(136)*-4*-1)\/(sqrt(72)\/(sqrt(9)*-2) + (sqrt(168)\/sqrt(7))\/sqrt(3)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1*sqrt(168)*-2 + sqrt(168) + -1*((sqrt(168) - -1*sqrt(168)) + sqrt(168))))\/(sqrt(24)\/sqrt(4)*-3 - (sqrt(6) + sqrt(66)\/(sqrt(44)\/sqrt(4)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86 or -67?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-42)*-1*8\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(4\/9)*o)\/o)\/o*o)\/o*o)\/o*o**(-1\/4) assuming o is positive.\nAnswer: o**(-29\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-14)\/(g**(1\/4)\/g))**(-3\/4))**(-21))**20 assuming g is positive.\nAnswer: g**(-16695\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 50*j + 1. What is t(-1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/29, -63235, 5 in decreasing order.\nAnswer: 5, -6\/29, -63235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371 + 189 - 30998*p**3 + 375*p**3 + 182.\nAnswer: -30623*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 13. What is v(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 25*m**2 - 31*m - 91. Let z be r(-26). Solve -l + z = 37 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 2*h**2 + 2*h - 4. Let v(d) = -324*d**3 + 4*d**2 + 667*d - 8. Let z(t) = 3*v(t) - 6*w(t). What is the second derivative of z(g) wrt g?\nAnswer: -5868*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -1c8?\nAnswer: -1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8998300931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62.9 - 63. What is the third biggest value in -2\/5, k, -1\/22?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 64?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/3))**(-8))**(1\/24))**(3\/2) assuming w is positive.\nAnswer: w**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8496899 or 8496895?\nAnswer: 8496895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (-20)\/160*-196.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2\/7 + 332*m\/7 - 96 = 0.\nAnswer: -168, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 3:13 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**18)**22*(x\/x**(-1\/23))**36)**20 assuming x is positive.\nAnswer: x**(-154760\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 17, -0.049, 1.1, 43?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*n**5*q - 4*n**4*q**3 + n**2*q**3 - 138*n**2 wrt n.\nAnswer: 1020*n**2*q - 96*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(-128546)\/(-29215)?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 at most as big as 573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m + 2 = 39*m. Let n be (m\/8)\/((-95)\/20 - -5). Is 2746*3*n\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 4*y - 129*y**2 + 134*y**2 - y + 1563*y**2 to the form d*y + a + w*y**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13001 (base 4) to base 6.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5 = -6*v - 7, -5 = 4*v + 3*a + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138219020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*o - 10 = 0, 0*u = 4*u - 13*o - 30. Sort 3, -11, -6, u, -1.\nAnswer: -11, -6, -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 516, 1006, 1652?\nAnswer: 2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44248 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87229208 by -2.\nAnswer: 43614604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 92268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*h = 205*h - 102*h - 4031 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1239634240, 1239634241, 1239634242, 1239634243, 1239634244, 1239634245?\n\"Answer: h + 1239634239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -279015 or -279014?\nAnswer: -279015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**3\/3 - 2*v**2 - 3*v. List the prime factors of k(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 - 152. Let c = 112 + d. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-4))\/(-1))\/(4\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 2*o. Let z be 0 - -2 - (0 - 0). Let s be 5\/(-5*z\/(-20)). Solve o*f - 4*f - s = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:26 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11863792.\nAnswer: 2, 163, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*o - 8384, -4*n - 3*o - 5022 = -7*n. Suppose -18*d + n = -14*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (10 - 13)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5722 + 0*w - w - 4*w + 5739 - 11461.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 0 + 3 - 4. Let x be h(7). Let r(l) = 13*l**2 + 4. Let k(g) = 7*g**2 + 2. What is x*r(z) - 11*k(z)?\nAnswer: z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*a + 7687 - 75797 = 12*a. Calculate the smallest common multiple of 49 and a.\nAnswer: 13622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214906520 is divided by 12436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, u: 5, v: 2}. Give prob of sequence vaua.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 + -12)) + (-27 + 26 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.018 + -0.018. Let h = q + -33. Which is greater: 1\/6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2\/8)\/(3\/(-8)). Let c = 9 + 6. Let g be 10\/(-25) - (-17)\/5. Solve c = g*w + y*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97428291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 197 + (-205 - -148)\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffrqfrqfq. Give prob of picking 1 r, 1 q, and 1 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 16*c**2 + 16*c + 20. Let s = 77 - 62. List the prime factors of u(s).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 12*w - 9 = 0. Solve 3 = -z + q, z + q = -2*z - w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5145\/441 + 13*-1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 0*p**3 + 0*p**2 - p + 1\/6*p**4 + 0. Let n(q) = q**2. Give n(s(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**3 + 10*a**2 + 60*a - 291. Let q(y) = -2*y**3 + 2*y**2 - 1. Let j(b) = -12*q(b) + 4*v(b). Factor j(g).\nAnswer: -4*(g - 6)**2*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 383 - 319. What is the remainder when 123 is divided by z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4*-1)\/4 + 3. Find the second derivative of -64 + s*i - 2*i**4 + 64 wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1172, -1, 3, -7 in descending order.\nAnswer: 1172, 3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19480 and 2900085.\nAnswer: 23200680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - ((2 - (-46 + 24)) + -25).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 64. Let n be (-42)\/d*20\/35. Solve -y - y = -n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1544 and 7527.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67450 and 852.\nAnswer: 404700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345, 800, 1365, 2040, 2825, 3720?\nAnswer: 4725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(6)*-2))\/(sqrt(18) + sqrt(72)\/sqrt(4)) - (sqrt(15)\/sqrt(3)*2 - (sqrt(125)*-2 + sqrt(5))).\nAnswer: -133*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 2*j - j + (-2 + 2 + 3*j)*(2 + 1 - 5 + (-12 - 1 - 2)*(-2 + 4 - 3)).\nAnswer: 41*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1073 - -1631. Suppose -2*s = -4*t - 7*s + 1125, 0 = -2*t + 2*s + r. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4\/(-2) - (225\/(-15) + -55) and 170.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) -14 (c) 0.06 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 29653.\nAnswer: 2\/29653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - (-9 + (-22 - -48) - -5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (5\/3 - (-8)\/6). Let n(q) = 4*q**2 - 1. Let y be n(-1). Suppose -m*g = -y*g - 6. Which is the third biggest value? (a) 0.5 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 5:55 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-4)*2\/4. Suppose -b + l*b + 8 = 0. Let q be (2 + -2)\/(-2 - b). Solve 3*t - t = q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 11 - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 411135123?\nAnswer: 411135132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 - -190. What is the hundreds digit of 253 + h*(5 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597929 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1024683022 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.4789747\nAnswer: 2.3948735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -405325 - -4?\nAnswer: -405321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -5297855 and -19893807.\nAnswer: -25191662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 73\/66 (b) 1\/8 (c) -1 (d) 2 (e) 5\/4 (f) -3\/4 (g) 0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12273 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, x: 1, l: 1, c: 1, r: 3}. What is prob of sequence lq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-21)*6\/(-15). Let w be 1\/(-7) - (0 - 236\/(-14)). What is the closest to o in w, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**5\/5 + 306*v**4\/5 + 18399*v**3\/5 - 117498*v**2\/5 + 239652*v\/5 - 161304\/5 = 0.\nAnswer: -47, 2, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 7 = -4*c, -4*g - 7 = -3*c - 0*g. Let f = c - -1. Let z(h) = -3*h**f - 2*h**2 - h + 0*h**2. Determine z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -5*v**2\/2 - 10*v + 128. Let n(t) = 2*t + 5. Determine 3*g(y) + 7*n(y).\nAnswer: -y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.22 - 4.02. What is the third biggest value in o, -2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2888 + 2904. Solve r = -a - 4*r - o, 0 = -3*a - 3*r - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6834 + -6833.9993743. What is f rounded to 5 decimal places?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 + 2928\/(-210) + (-136)\/(-70). Solve -43*u + 45*u = w, 4*y - u + 13 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5950953 kilograms?\nAnswer: 0.0005950953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 104*j + 200 = 0. Factor -3\/2*s**3 + 3\/2*s + 3\/2 - 3\/2*s**j.\nAnswer: -3*(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -154. Let c = -87 - m. Solve 5*o + c*o = 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0784 + 0.2606. Let k = r + -0.239. Which is the biggest value? (a) -2\/5 (b) k (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/2 greater than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1153590883 and 0.3.\nAnswer: -346077264.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Let w be 8\/(-240)*3*6. What is the closest to x in 2, w, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -10. Let u be ((-3)\/(3\/(-2)))\/(-2). Let z be (u + -1)\/(-8)*4. What is the nearest to z in -3, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2 - 11. Suppose 5*i - 11 = 2*b - g*b, -4*i + 4 = 0. Suppose 4*c - 4*z + 18796 = 0, c - 23505 = b*c + 5*z. Round c to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -229*x + 214*x - 30 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*15\/10*(-8)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dedididedded. What is prob of picking 2 d and 2 i?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 83. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 k when three letters picked without replacement from ffkfffyff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -32. Suppose -2*f + 9 = -5*f. Let c be f\/9*b - -3. Solve -c*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 56*r**5 + 47*r**2 + 3*r. Let w(x) = x**5 + x**2 - x. Let y(h) = s(h) + 3*w(h). What is the third derivative of y(i) wrt i?\nAnswer: 3540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 131*b - 793. Let c(q) = q**3 + 23*q**2 - 72*q - 1650. Let t be c(-23). What is p(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x - 2*s + 15, -4*x = -4*s - 24. Let v = -4 + x. What is the second derivative of -3*g**v + g**5 + 2*g - 3*g wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -t + 10, 4*t + 169*c - 168*c - 19 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/5)\/(4156\/(-41560)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468890.\nAnswer: 2, 5, 46889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45916?\nAnswer: 2, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1)*((-124)\/12 + 10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.22 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 56?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.4, -5, 3, 276\/7, 0.5, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**7\/294 + b**6\/30 + 3*b**5\/70 - 25*b**4\/42 + 59*b**3\/42 - 3*b**2\/2 - 415*b. Factor o(h).\nAnswer: -(h - 7)*(h - 1)**3*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzzzvvjvmheevzj. What is prob of sequence zhv?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-5)\/(-285)*-3.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**3 - 4*w**2 - 7*w - 84. Let i(g) = -4*g**3 - 3*g**2 - 6*g - 82. What is -3*a(l) + 4*i(l)?\nAnswer: 2*l**3 - 3*l - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + h + 175 = 3*h, -h = -r + 28. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416311002 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/((-1)\/(-50)). Suppose -2*y = -y - b. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**10\/w)\/w*w)**(-3\/23))**(12\/13) assuming w is positive.\nAnswer: w**(-324\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2*p**3 + 40426*d**2*p**2 + 2*d**2*p + 756*d*p**3 - 225*p**4 - 6 wrt p.\nAnswer: 12*d**2 + 4536*d - 5400*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (34 + -37 + (-6*1 - -3)). Solve -807*x + 805*x = -i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/68 and 27\/10370.\nAnswer: 20740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/1120983 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 56. Let p(m) be the second derivative of 0*m**r + 1\/3*m**3 + 0 - m. Let x(c) = -2*c**2. Calculate p(x(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 282, -1404.\nAnswer: -1404, -4, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 5:49 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.074 - -206573.\nAnswer: 206572.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z + 121. Let m(g) = -51*g - 47*g - 46*g + 155*g. Give d(m(y)).\nAnswer: -33*y + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 3 = 4*y - x, 2*y + 2*x = 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -3*p - 140. What is the remainder when 205 is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 13283.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177275, 177268, 177247, 177206, 177139, 177040, 176903?\nAnswer: 176722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.868 rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 smaller than 1016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -45.3.\nAnswer: 27.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*j**2*m**3 - 17619*j**2*m**2 + 32*j + 4783*m**3 wrt j?\nAnswer: -56*m**3 - 35238*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*((-6)\/15 - 0). Let o = p - -10. Solve d = -2*d + o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + 0 + -3 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3536854.97 + 1\nAnswer: 3536855.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/12 + y**3 - 19*y**2 - 2*y - 24. Let x be t(4). Which is bigger: x or -2\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -1\/3*o**3 - 1\/12*o**4 + 0*o + 1\/30*o**5 + o**2 + 0 + 1\/120*o**6. What are the prime factors of l(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - j - 8 = -3*y, -5*j - 5*y - 20 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1698)\/(-18))\/((-2)\/(-6)) + 1. Find the third derivative of i*b**6 + 15*b**2 + 2 - 1043*b**4 + 1043*b**4 wrt b.\nAnswer: 34080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 1260 = -5*w. Suppose -w = -6*i - 682. Which is smaller: i or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -352*a**2 + 5 + 101*a**2 + 113*a**2 + 101*a**2 as w*a**2 + m + v*a and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6287185 (base 10) to base 11.\nAnswer: -3604723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -83136 bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940375600 rounded to the nearest one million?\nAnswer: 2940000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 2*c**2 + c**2 + (-2 - 3 + 6)*(4*c**2 - 2*c**2 + 0*c**2) + 55*c**2 + 26*c - 26*c.\nAnswer: 58*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apqd when four letters picked without replacement from qqapaqppppaqdap.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57150?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 - 94 - 56 - 2*g + 48 - 186 in the form w + l*g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6)*2 - -2. Let v be (-117)\/(-27) + (-39)\/9 + 4. Solve x = q*n - 6, -v*n = -4*x + 5*x - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3134315 (base 6) to base 12\nAnswer: 7439b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (119*d**3 - 14542*d + 7276*d + 7273*d)*(4*d - 2*d - 4*d) to the form c*d + h*d**4 + i*d**3 + k + y*d**2 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 93170?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210 (base 11) in base 8?\nAnswer: 5543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**5\/210 + g**4\/21 + 11*g**3\/63 + 2*g**2\/7 - g. Determine f, given that s(f) = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18806 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -19626?\nAnswer: -19626.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 3, -25\/4, -9.382, 0.3 in decreasing order.\nAnswer: 3, 0.3, -3\/4, -25\/4, -9.382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 100010110110110101001 (base 2) to base 7\nAnswer: 12464662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2 - 12*r - 2. Suppose 7*q + 1 = 50. Let z(n) = 9*n**2 + 25*n + 3. Let i(b) = q*t(b) + 3*z(b). Determine i(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28546107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71822717 or 71822716?\nAnswer: 71822716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 e when three letters picked without replacement from eevekeehefeveeeheve?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbbv when four letters picked without replacement from {s: 9, b: 6, v: 4}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*(12 + -2). Suppose -136*j + 67 + 235 - 3 = -245. Calculate the highest common factor of j and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(1573) + -3*(sqrt(1573)*-3 + sqrt(1573)) + sqrt(1573) + (sqrt(1573) + -1 + -3 - (sqrt(1573) - (sqrt(1573) + -1))*-2))**2.\nAnswer: -1188*sqrt(13) + 127449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h - 3*j = 0, -4*j + 4 = 4*h. Suppose -h*y = -58 - 107. Calculate the common denominator of 101\/10 and 65*(-4 - y\/(-14)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16*f**2 - 8*f + 7. Is o(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126218 and 11886.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1133.28 + -1032. Let h = 101 - g. Round h to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369267928 to the power of 1\/2, to the nearest integer?\nAnswer: 37004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**2 - l + 47. Let q(z) = z - 10. Let a(r) = 3. Let u(y) = -7*a(y) - 2*q(y). Give -6*f(i) + 5*u(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**3 + 3*u**2 + 3. Let z(c) be the first derivative of -9*c**4\/4 - 5*c**3\/3 - 5*c - 2277. Calculate 5*m(a) + 3*z(a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23333 + 1?\nAnswer: 30000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d + 14 - 14. Let r(a) = -a + 1. Let w(j) = -j + 3. Let i be w(4). Let t = 3 - 5. What is i*h(l) + t*r(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*y = 17, -3*b - b - 3*y = -23. Suppose -2*s - 4*x = -196, 5*s = b*x + 499 + 6. Let r be (8\/s)\/((-1)\/5). Put -4\/5, -4, r in decreasing order.\nAnswer: r, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*o + 1 - 3, -2*k = 3*o - 22. Solve 3*w**2 + 12*w + 34 - 26 - o*w - w**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 8*n - 110. Let z be (-22)\/n*(-15)\/(-1216). Let m = z - -8545\/6688. Is 2 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 - 9*k**2 + 6*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atjttaaatat. Give prob of picking 1 j, 1 a, and 2 t.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*b - 88561 + 21567, b = 5. What are the prime factors of 7\/42 - (i\/(-12))\/7?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435728*n + 435753*n + 0 - n**3 + 0 - 871481*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from {v: 3, z: 9, p: 4, e: 1, j: 1}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.696 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 8*k - 11. Suppose 3*f + b = 172, -2*b + b - 170 = -3*f. Let a be f\/(-38)*(-8)\/2. List the prime factors of c(a).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40*24\/(-18624)*((-4)\/(-50))\/((-5)\/(-25))\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3602, -3598, -3594, -3590?\n\"Answer: 4*z - 3606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 22274*q**2 + 66831*q.\nAnswer: -q*(q - 22277)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25685594, -25685598, -25685602?\n\"Answer: -4*w - 25685590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:16 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 325*d + 2 - 2 + 1.\nAnswer: -325*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 6. Let j be m(-5). Suppose 5 - j = l + 3*h, 20 = -4*h. List the prime factors of l*(1 + (5 - 184)).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2 + 75 = 2*g, g = -3*o + 20. Suppose g = -8*i + 9*i. What is the remainder when i is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g - 11. Let u be j(4). Suppose l = f + u, l + 3*f = 2*f + 15. Calculate the remainder when 52 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261969 a multiple of 879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8)*-6) + 1.\nAnswer: -sqrt(7)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 304 = -26*a. Let u = -38 + 25. Let h = u - a. Which is bigger: -8\/17 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 1, u: 3, r: 1, m: 1, y: 8}. What is prob of picking 1 r, 1 m, and 1 s?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -77. What is the remainder when 49 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-98)\/14 - 6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 7*l - l)*(350 + 254 - 321 + (-2 + 3 - 2)*(4 + 4 - 6)) in the form b + h*l and give h.\nAnswer: -1686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 11*w - 7. Suppose 2*h - 2*a + 27 = -h, 0 = -5*h + 5*a - 45. What is the remainder when 31 - (2 + -1*2) is divided by r(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 12799.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.27135705 rounded to four dps?\nAnswer: 1.2714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1294?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -25*w - 11. Let k(m) = -16*m - 7. Let s(i) = -8*k(i) + 5*v(i). Let r(b) = 8*b + 6. Let u(l) = l + 1. Let f(o) = r(o) - 6*u(o). What is f(s(a))?\nAnswer: 6*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58568055, -117136104, -175704153, -234272202?\nAnswer: -292840251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45750.75 weeks in hours?\nAnswer: 7686126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 - (-4 - -7 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -36*d + 2. Let l(p) = -37*p + 3. Let f(h) = -3*b(h) + 2*l(h). Is f(2) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1069, 0.4, -279, 6?\nAnswer: 1069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 + -31863394542617?\nAnswer: -31863394542616.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 80?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 463408 and 1408.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (0 - 9\/(-1)). Let z = 11 - w. Let l be (-2 + 2)\/(-1 + -1). Which is greater: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9910.682m?\nAnswer: 991068.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 21*s + 10. Let c(p) = -p**2 - 20*p - 10. Let g(t) = 5*c(t) + 4*x(t). Let k be g(-18). Let f = k + 62. Solve f = w + 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) - (-150)\/54. Solve 0 = -s*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95 + 33*i**3 - 75*i**3 + 479*i**4 + 1023*i**4 + 42*i**3 with respect to i.\nAnswer: 6008*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 547 - -2c8?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(-18) + 20\/15. What is the third derivative of -10*o**4 - 10*o**h - 10*o**4 + 2*o**2 wrt o?\nAnswer: -720*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232.604 + 233. Let y = 0.131 - s. Round y to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 12 = -15. What is the hundreds digit of 350 + -16 - (-1 + d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3114044 - -103311?\nAnswer: -3010233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7974)\/(-27)*(-6)\/4. Round g to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -448910*o**3 + 560831*o wrt o.\nAnswer: -2693460*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -78, -126, -174, -222?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 12*g. Let v = g + -1. Is -1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -486668197\/2150 + 9950016\/43. Let y = i + -5038. What is the common denominator of y and 127\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2636 and -124429?\nAnswer: 121793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l + 2*l**2)*(0*l - l - 8*l) - 4*l**3 - 3*l**3 + 4*l**3 - 3*l**3 + 0*l**3 + 2*l**3.\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 + 2*v + 7. Determine f(5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/15)*(w*w**(2\/7)\/w)\/w)**(-39) assuming w is positive.\nAnswer: w**(-208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 3*h. Solve 3*r - 10 - 2 = h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in -0.1, -1.5, 0, 4\/3?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44937 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: Let q(a) = a**3 - 15*a**2 + 13*a - 9. Let b be q(14). Let n = -32 - b. What is the remainder when 12 is divided by (-54)\/(-6)*(-6)\/n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 20. Let r = q - -9. Suppose 4*c - 2*i = -3*i + 64, 55 = r*c - 5*i. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 61, 1838776.\nAnswer: 5, 61, 1838776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d - 419 + 461. Suppose 2*o + c + 345 = d*o, c = 0. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((36\/(-6))\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 7 = 5*c, -3*r + 4*c - 3*c + 9 = 0. Solve 0*k = r*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*p - 23 = 0, 4*p + 11 = -3*i - p. Suppose x = 4*b - 6*b - i, 15 = 2*x - 3*b. Let z(l) = -l**2 + 6*l + 3. Calculate z(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 15*m = 144. Suppose -3*u + 2*u - 4 = 3*a, 3*a = -3*u + m. Is a at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (62\/8 + -12)*(29 + -5). Which is smaller: -86 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03828017733 to five decimal places.\nAnswer: 0.03828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2)\/((-138)\/(-1196)). Suppose -7222 - 17959 = -x*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) - (2*sqrt(190) - sqrt(190))))*-6*3)\/(sqrt(30)\/((sqrt(12) - sqrt(48))\/sqrt(4))).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 8*l**3 - 25*l - 89*l + 10*l**3.\nAnswer: 2*l**3 - 114*l + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 11) to base 10\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-6 - (-41 - -24))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t*t*t*t**1*t))\/t)\/t)**50\/((t*t\/(t*t**6))\/t**(-1\/6)) assuming t is positive.\nAnswer: t**(-2071\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -241833 (base 13) in base 12?\nAnswer: -355b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 872, 783, 706, 701, 828?\n\"Answer: 10*q**3 - 54*q**2 + 3*q + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31264, 31229, 31170, 31087, 30980, 30849, 30694?\n\"Answer: -12*a**2 + a + 31275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 249, -10.\nAnswer: -10, 2\/5, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 50\/135*30\/25\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 6. Let c = -4 + 8. Suppose g = c*g - o. Solve 0*l + 2*l = -g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117616518 divided by 3\nAnswer: -39205506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 3573.\nAnswer: 31\/3573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/7, 8, 2, -122, -2\/57, 49 in ascending order.\nAnswer: -122, -1\/7, -2\/57, 2, 3, 8, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -3 + 10 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 4:27 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, and 1 j when three letters picked without replacement from jkxjjxccckxcc?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -79*o**2 + 2*o + 156*o**2 - 76*o**2. Suppose 10*a + 11 = 11*a. Suppose 0 = 4*n - a + 27. What is p(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d - 25. Calculate z(-15).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1000.41 + -995.110082. Let b = s - 5.3. Round b to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y + 5*y**2 + 7*y + (-4*y**2 + 6*y**2 - y**2)*(4 - 1 - 5))*(5 - 4 + 0 - 2 - 3 + 3 - 4 + 6 - 1 + (4 + 0 - 2)*(-4 + 4 - 2) - 4 + 3 - 1 + 3 + 1 - 3).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2405 - -21683\/9. Let r = 4161\/5 - 21250237\/25535. Let n = 240019\/25535 - r. What is the common denominator of y and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-808)\/32 - (-3)\/(-4). Let u = k + 46. Suppose -5*d = -2*g - u, -3*d - g + 12 = -0*d. Solve 4*h = -24 + d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191056441 a multiple of 599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*1 - (5 + -15). Suppose 7 = -b*r + 21. Suppose r*q = 5*h + 47, -4*q - 2*h + 159 = h. Solve -2 = -2*d - 3*w + w, -4*w = -4*d + q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 46*w**2 - 46. Let n(a) = a**3 + a**2 - 1. Calculate d(y) - 46*n(y).\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/(-21))\/(3\/126). Round j to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 22 = -235. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c + 1 + 3 - 2)*(8*c**2 + 0*c**2 + 0*c**2).\nAnswer: -64*c**3 + 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -13*g - 269. Let t be j(-21). Put 0, 1\/10, 1, t, -3 in descending order.\nAnswer: t, 1, 1\/10, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-173 - -168) + -31 + (-4 + 3 - 0).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -51.\nAnswer: 2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(1\/7))**(-1\/2)*h**(-4\/11)\/(h*h*(((h\/((h*h**(-5))\/h))\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(-969\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5940 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 116778\nAnswer: 17\/116778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9552458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -83681 (base 9) to base 10\nAnswer: -55234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 414662977\/48 + -8638450. Let d = n - 1093\/3. Find the common denominator of d and 3\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14648 and 27.7.\nAnswer: 4.057496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2159076 by -6.\nAnswer: 359846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - 9 - -1) + 10 + -32\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*h = 16, 0 = -2*m - 3*m + 4*h + 20. Suppose 5*g = m*g + 5. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00209244349 rounded to five dps?\nAnswer: 0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1157 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 13 = 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174170 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**3 - 5*s - 6. Let a(t) = -4*t**3 - 3*t - 3. Let w = 13 + 7. Suppose -5*c = 5 - w. Calculate c*h(z) - 5*a(z).\nAnswer: -z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*q = -187*q + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f + 2. Let v(q) = 85*q - 35. What is -35*c(r) - 2*v(r)?\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/830 and -32\/9715.\nAnswer: 1612690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 416538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t + 104. Let i(l) = -2*l. What is i(s(r))?\nAnswer: -6*r - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.04 (b) -0.4 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, -3, 2 in decreasing order.\nAnswer: 114, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9 = l. Suppose 3*m = -3, -2*n - l*m = 2*n - 25. What is the lowest common multiple of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:50 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -362235 (base 10) to base 6.\nAnswer: -11433003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -422166.\nAnswer: -1\/422166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9901.505 litres to millilitres.\nAnswer: 9901505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23006418221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o + 11*o**3 - 12*o + 0*o**3 - o**3 wrt o.\nAnswer: 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353684 is divided by 3003?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 50. Which is bigger: d or 4\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7371.648 kilograms in micrograms?\nAnswer: 7371648000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -11. Is 0 - (-2 - q)*4 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4344, -6688 in descending order.\nAnswer: 12, -4344, -6688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 17*o - 38 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 3*s + 1. Let w be (-5)\/(-3)*(-4 + 1). What is i(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from srvppspppb.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 7*d**2 + 5*d. Suppose -c = 5*n - 9, -c - 3*n = 3*c + 15. What is o(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -3*y**2 + 2*y + 2. Let c(i) be the third derivative of -1\/6*i**3 + 3*i**2 + 1\/12*i**4 + 0*i + 0. Give 8*c(a) + 3*m(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284614 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 51*t + 368 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1322, -2919, -4512, -6095, -7662, -9207, -10724?\nAnswer: -12207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccj when three letters picked without replacement from jcyjfccc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-52)\/(-12) - 4)*24. Let l(a) be the second derivative of a**3\/3 - 11*a**2\/2 - a. List the prime factors of l(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 406 and 196.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*n = 20, n + 29 = c - 3. What is the highest common factor of 75 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -39.5. Are o and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*n - 10*n = -113*n + 13*n - 12267 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22669, -22667, -22665, -22663, -22661, -22659?\nAnswer: -22657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1179210 divided by -244.\nAnswer: 589605\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3 - 16*h**3 + 3*h**3 + 27*h - h**3 - 1 wrt h?\nAnswer: -90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3357 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)*s*(s*s**(-6)\/s*s*s*s*s)\/s*s)\/((s\/s**2)\/((s*s**(3\/10)\/s)\/s)) assuming s is positive.\nAnswer: s**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 23*h**2 + 22*h - 70. Is s(28) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*x - 29, -3*w - x + 8 = -5. Suppose 0 = 7*i - 3*i - 4*g + 12, 7 = -w*i + g. Which is smaller: -2\/955 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-6) + 4\/(-12). Suppose 0*q - 3 = -2*q + 3*i, o*q - 1 = i. Suppose r - 3*r + 18 = q. What is the highest common divisor of r and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 349426418 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7155 and 6.\nAnswer: 14310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -333102110 (base 6) to base 14\nAnswer: -b2c550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3 + 1. Suppose 2*h + 186 = 194. Suppose h = 21*z - 23*z. Sort 2, p, z in decreasing order.\nAnswer: 2, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*i + 25, -13*i - 43 = -3*l - 26*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/40)\/(1\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4053 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 84. What are the prime factors of r(0)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*y = 202 + 914 + 1119 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119217546067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and 809440856.\nAnswer: 809440847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 105?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 101?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**5\/120 + 2*a**3 + a**2. Let v(u) be the first derivative of j(u). Let f(g) = g. Give f(v(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 0*c**2 + 4*c - 1 + 3 + 4*c**2 - c**2 - 5*c**3. Let s(d) = d**2 + d - 1. Let t be s(1). Let q(y) = y**3 - y**2 - y - 1. Give t*i(f) + 3*q(f).\nAnswer: -2*f**3 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4170, -16767, -37762, -67155, -104946, -151135, -205722?\nAnswer: -268707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -26, -35, -42?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2257 + -2256.6. Which is the nearest to 144? (a) d (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - d**2 - d**2 - 101*d - d**2.\nAnswer: -2*d**2 - 101*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 133*n**3 - 25764 + 25764 + 3*n + 132*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/35 - 31\/(-35).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3))**(-1)*k**(-3\/11)*k**(-15))**(-18) assuming k is positive.\nAnswer: k**(2958\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**2 + 0*q**5 + 2 - 1\/12*q**4 + 1\/60*q**6 + 0*q**3 + 0*q. Let v(d) be the second derivative of y(d). Factor v(u).\nAnswer: 2*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10199\/3 or -3399?\nAnswer: -10199\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:59 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -291676*t + 1489259?\nAnswer: -291676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 - 3*k**3 - k**5 + (-4*k**2 + 3*k**2 + 0*k**2)*(-4*k**3 + 5*k**3 + k**3) + (107 - 57*k - 107)*(16*k**4 + 8*k**4 + 5*k**4).\nAnswer: -1656*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 813 and 50121.\nAnswer: 13582791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17347\/15 + -3470\/3. Put -5, 1, 14, g in decreasing order.\nAnswer: 14, 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-16) + (-15)\/4)\/(-3). Sort -1, k, -1\/6 in decreasing order.\nAnswer: k, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205511?\nAnswer: 151, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -2*c, 0 = 9*x - 3*x + 2*c - 32. Suppose -4*d = -g - 4, 4*g = 5*d - 9 - 7. Let s = d - -4. Solve s - 20 = -x*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13822 + 3771 + 222*y + 230*y + 164*y.\nAnswer: 616*y + 17593","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 459*r**2 - 45*r**5 - 4 - 459*r**2 + 3*r wrt r?\nAnswer: -900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 781287921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 29679963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and -27.07.\nAnswer: 622.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 28*n**2 - 27*n + 14. Let b be h(13). Suppose -4*x - b = -2*o - 375, 6 = 2*o. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.1, 0.34, -2\/5, -656?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5)*1*5. Suppose -w*v - 996 = -4*k - v, -3*k + 2*v = -746. Suppose 5*q - 5*x - k = 0, -135 = -2*q - 4*x - x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 + 173. Let h = 319 + w. Suppose -6*t + 720 = -t + 3*m, 3*t = 3*m + h. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, -1\/5, 2, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/45*-3*186\/124?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -0.2. Suppose -87*q + 91*q + 12 = 0. Which is the closest to o? (a) 0.4 (b) -2\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -3072 - 2563. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j**3 + 5*j**2 + 6*j + 1. Let d be h(-1). Suppose 43 = -4*z - z - c, 2*c - 49 = 5*z. Let t = d - z. Solve t*n + 5 = -3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 6*w - 4*w)*(-3 + 0 + 1) + 5*w + 2*w - 2*w + (0 - 1 + 0)*(0*w + 0*w + w) + (4 - 5 - 1)*(-4*w + 2*w + 0*w) in the form b*w + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onnofnnj. Give prob of sequence nofj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 - (-40)\/(-42). Suppose 0 = -6*z - 25 - 23. Let l = -9 - z. Is l smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56.21 at least -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-4 + (-108)\/(-20)). Which is greater: 9 or k?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -615 - -992. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.6 in -79, -2\/3, 3, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*s + 14 = 0, -3*s - 110 + 94 = -n. Sort n, 3, -2, -28.\nAnswer: -28, -2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - p + 2 = 0, -2*p = 3*p - 10. Suppose m = 6*x - 15 + 3. Solve 6*q = x*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -4 (c) -43 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 - 396469?\nAnswer: -396441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 6 (c) -0.5 (d) 24\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/12)\/(3\/9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133924984.\nAnswer: 2, 16740623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**3 - n**3 + 7*n**3)*(-4 - n + 1 + 0*n) in the form j + b*n**2 + a*n + w*n**4 + u*n**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 591642 to the power of 1\/2, to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6178194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -364 or -685?\nAnswer: -685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179574, 0, -3\/4.\nAnswer: -3\/4, 0, 179574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, 1, -1184, -2\/27, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-158)*3068\/6136\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -285371?\nAnswer: 120\/285371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23 + (-1 - -4*49\/(-28)). What is the greatest common factor of 45 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1011 + 1011. What is the smallest value in -3\/4, -102, t?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 + 17*l - 1342. Determine g(0).\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/10)\/f))**(-7\/8)*f**20\/f**(2\/5) assuming f is positive.\nAnswer: f**(1421\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63153906?\nAnswer: 2, 3, 23, 73, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 902 - 503. Suppose i + 5*v - 3*v = y, -2*i - 3*v + 797 = 0. Let z = i - 92. Is z a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -3907072278111?\nAnswer: 3907072278110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17973 + 56065. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 367 and 10.\nAnswer: 3670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-8))\/((-6)\/48). Let q(k) = k**2 + 8*k + 1. Calculate q(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -114a + 2b?\nAnswer: -111d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*v = -7*v - 37, -4*g - 5*v = -199. What is the greatest common factor of g and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccqycyacql. What is prob of sequence qq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(20\/(-156))*-5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 0*w - 1\/15*w**3 - 52 - 2\/5*w**2. Factor m(h).\nAnswer: -h*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(207\/(-22))\/(-9). Is q smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-1)\/6*4)\/(176\/(-330)*5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10602)\/19)\/(-9)*6\/3. Solve i*g - 63 = 131*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**4\/8 - b**3\/6 - b**2. Let i be j(7). Solve -2*w = -7*w + i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlo when three letters picked without replacement from {z: 2, l: 4, o: 3, d: 1, w: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -5)*2\/(-6). Let a be 2*(y + 3\/2). What is the second derivative of 0*n**3 - 2*n**a - 7*n + 4*n wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n*n**(1\/4)*n*n))\/n*n*n)**(-4\/11))**(-9\/4) assuming n is positive.\nAnswer: n**(-9\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-9622992)\/(-552) - (-8)\/184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 8*c**2 + 7*c + 6. Let u be k(7). Let b be 4\/12*9\/u. Factor 0*m - 1\/2*m**2 + 0 - b*m**3.\nAnswer: -m**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/59778 and -89\/26568.\nAnswer: 239112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(0 + 2 - 1)*(499 + 320*k**3 - 499) + 3 - 2*k**3 - 3.\nAnswer: 318*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 15 = 5*l + 1, -2*l = 5*v - 2. Suppose 0 = 6*x - 21 - 3. Factor 17*b - 64*b**v - b + 31*b**3 + 112*b**4 - 11*b**3 - 12*b**x.\nAnswer: 4*b*(b + 1)*(5*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 6:20 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -3*o**5\/20 + 51*o**4\/4 + 108*o**3 + 330*o**2 + 1848*o. Find b such that f(b) = 0.\nAnswer: -2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -40. Let x = 27 + p. Differentiate -x + 5 + 2*g + 12 wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -138. Let s = h - -93. Let n(v) = -19*v**3 - 2*v - 1. What is the smallest common multiple of n(-1) and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**4\/24 + 4*s**3\/3 - s**2. Let i(k) be the first derivative of -k**2\/2 - 9*k - 22. Determine -6*h(x) - 5*i(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and 1185020.\nAnswer: 1659028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -643819*f**3 - 5636*f**2 + 228*f.\nAnswer: -3862914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12464 is divided by 12231?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) -12 (c) 2 (d) -0.09 (e) 1\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 16 = -6*k, 33*y + 81*k - 42*k - 42*k + 94 = 14*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.707559 rounded to two decimal places?\nAnswer: -30.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-9)*(-6552)\/(-910)*(-9)\/30?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40515 divided by 185.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.004 - -0.1.\nAnswer: 6.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 + d - d)*(342 - 154 + 427)*((2 + 0 - 4)*(0 + 0 + 2*d) + d - 3*d + 0*d).\nAnswer: 7380*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7169841 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 2*g + 2, -3*g - 3 = y. Suppose y*d + 4*d = 0. Factor d*u + 0 + 0*u**3 + 1\/2*u**4 - 1\/2*u**2.\nAnswer: u**2*(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m - 80*m = 24*m + 917 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -29*j**2 + 50*j + 3. Determine o(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or 28598?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3477, -24000 in descending order.\nAnswer: 3477, -2, -24000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0*s**6 + 0 + 1\/63*s**7 + 0*s**3 + 3*s - 1\/9*s**4 + 0*s**2 - 1\/10*s**5. Determine z so that f(z) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 24) + (-14 - -22) + -9.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33, 32, 33, 36, 41?\n\"Answer: m**2 - 4*m + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21723 - -21722. Sort -0.7, p, -0.5, -23 in decreasing order.\nAnswer: -0.5, -0.7, p, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*i**2 - i**4 - 12*i**3 - 15*i**2 - 40*i**3 + 52*i + 0*i**4 + 35*i**2.\nAnswer: -i*(i - 1)*(i + 1)*(i + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -4*l + 9 + 5, -l + m = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 16. Let m be o(-11). Suppose 3*j + 15 = m*d - 4*d, 2*d = -5*j + 8. Is d\/(-6)*(-596)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -7, 4, 31, 80, 157, 268, 419?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {x: 1, n: 2, s: 1, v: 6, r: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 - 10212122?\nAnswer: -10210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*o + 13*m, -122*m + 120*m + 30 = 5*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-14 - -8) + 1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5851\/6 + -975. Solve p + 0*i - 1\/6*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -104.544, 23\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from lixex.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -190, 1\/2.\nAnswer: -190, -2\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 293*c**2. Let q(u) = -2*u. Determine y(q(k)).\nAnswer: 1172*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3520, 3527, 3540, 3559, 3584, 3615, 3652?\nAnswer: 3695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 540, 1214, 2158, 3372?\nAnswer: 4856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 252 = -v. Suppose 0 = -4*w + 5*k + v, 2*w + 3*w = -k + 64. Let t = 2 - -10. Calculate the highest common divisor of w and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4 - 603*w**3 + 2423*w**2 - 3033*w + 1214 = 0 for w.\nAnswer: -607, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**3\/7 + 16*l**2 - 176*l\/7 - 1920 = 0.\nAnswer: -24, -14, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (477*y - 1264*y - 1554*y)*(-5*y**3 + 8*y**3 + 12*y**3).\nAnswer: -35115*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s + 28*s - 9*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/7, -9\/115, 13, 0.3, -0.23, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 119, 231, 339, 443, 543?\n\"Answer: -2*n**2 + 118*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(1\/(-3)))\/(198\/264). Suppose 2*q - 6*q = 2*d - 46, 2*q + u*d = 14. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82 and 492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/12 + x**3\/3 - x**2\/2 + 231*x. Give j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 - 8*i. Let c(r) = 91582*r. Give c(x(f)).\nAnswer: 457910*f**2 - 732656*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*t**3 - 395*t**3 + 761*t**3 - 108*t**2.\nAnswer: -3*t**3 - 108*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10 - 571*b**2 - 466*b**5 - 201*b**5 + 10 wrt b?\nAnswer: -40020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4077, 2798, 1521, 246, -1027, -2298?\n\"Answer: r**2 - 1282*r + 5358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 40*x**2 + 1197*x - 3558. What is u(3)?\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16115.3*412.\nAnswer: 6639503.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -7 - 5) + (-30)\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.167 - 13481?\nAnswer: -13481.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4792, -9605, -14418, -19231?\n\"Answer: -4813*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + t - 2 = 0, 0 = -5*z + 7*z - 5*t - 24. Solve 3 = g + a, 4*a - 12 = -z*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n - 32*n**3 + 65*n**3 + 90*n**4 - 13*n**2 - 33*n**3 + 6*n wrt n?\nAnswer: 2160*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z + 13. Let o be s(7). Let f = o - 55. Let t(b) = 108577*b - 39. Let u be t(f). What is u rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -8*w**2 + 16*w - 3. Differentiate p(h) with respect to h.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/62127 and 19\/796068.\nAnswer: 46968012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y**2 + 205 + 16*y + y**3 - 215 + 6*y + y**3 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:20 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3\/2, -1, -2\/13, 5, -0.1, -1037?\nAnswer: -1037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 t when three letters picked without replacement from hzttekok.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 9. Suppose -13*x - x = 28. Sort x, j, -0.21 in ascending order.\nAnswer: j, x, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 4)*(t + 4*t - 3*t) - 546*t - 557*t + 1138*t - t + 4 - 4 to u*t + n and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4*-2*sqrt(152)*1)\/(2*sqrt(8)*-2 - -5*(sqrt(8) + sqrt(8) + (sqrt(8) - sqrt(128)))))**2.\nAnswer: -16*sqrt(19)\/3 + 1945\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-9 - (-10 + 5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-4) - (2 - -27). Let g = 23 + i. Let l be (-2)\/g + 18\/5. Sort l, 3, 8.\nAnswer: 3, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**2 + 4*c + 2. Let v(p) be the first derivative of -2*p**3 + 2*p + 5\/2*p**2 + 50. What is 5*j(x) - 4*v(x)?\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/7350*35)\/(((-36)\/(-210))\/3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-166 - 215 + 2*v + 69)*((4*v**2 - 5*v**2 + 6*v**2)*(-3 + 2 + 3) - 2*v**2 - v**2 + 4*v**2) in the form s + a*v + u*v**3 + r*v**2 and give r.\nAnswer: -3432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201238 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**12)**43*(m**(1\/2)\/m)\/m**(-1\/5)*m\/m**0*(m\/(m\/m**(-2\/9)))\/m assuming m is positive.\nAnswer: m**(-18623\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - 124*x - 9266. Give w(-34).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 265, 320, 373, 406?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0.4, -2\/41, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 328048444 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49520 rounded to the nearest 1000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 69389449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x - 17. Let a be t(-3). Let f be 6 + a - (-12)\/6. What is the units digit of (-6)\/(-9)*81 + (4 - f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-65)\/(-390))\/((-4)\/(-8000808)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*l + 24 = 0, 0 = 2*c - 3*l - 38 + 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -891*x - 20308 + 36735 = -37033 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -20*q + 245. Determine n(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1583.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2806183, -2806180, -2806175, -2806168, -2806159, -2806148?\nAnswer: -2806135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5239 + -5246. Let l(y) = -3*y**2 - 3*y - 1. Let n(s) = 10*s**2 + 10*s + 3. Determine g*l(m) - 2*n(m).\nAnswer: m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -654806*x**3 + 26*x**2 - x + 1. Let n be a(-3). Let m = 13 - 6. Suppose -j - m*j - n = 0. What is j rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -79?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2051 is divided by 584.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 4*j - 5*j - 4)*(6*j + 4*j - 2*j).\nAnswer: -8*j**2 + 40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.19, -112911, 0.4?\nAnswer: -112911","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18813.94 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from {c: 6, b: 2, p: 3, m: 1, d: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4379)\/39411)\/(((-1)\/(21\/(-4)))\/(-2)). Factor 1\/2*m**3 - 1\/2 + 7\/6*m**2 - y*m.\nAnswer: (m - 1)*(m + 3)*(3*m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 6:34 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = m + 13, -m - 7603*t + 5 = -7607*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 - 5*l + 2. Let n(d) = 2*d**2 - 2*d + 1. Let g = -24 + 15. Let t = 2 + g. What is t*n(a) + 3*k(a)?\nAnswer: a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1099, -995, -821, -577, -263, 121?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54373*w**2 - 3689*w**2 - 13014*w**2.\nAnswer: -71076*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2751*s**2 + 5496*s - 12 = 0?\nAnswer: -2, 2\/917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 121 = -131. What is the highest common factor of v and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6776 and 3416?\nAnswer: 413336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42160156 a multiple of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/(28\/12))\/1. Suppose g*y - 1391 = 3*u - 7*u, -u + 3*y + 344 = 0. Suppose r = -0*r + u. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 8 + 4. What is the hundreds digit of (-20)\/s - (1 - 185)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14.4, 0.5, -2032, -127?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(2) - sqrt(8)) - (sqrt(95)*2)\/sqrt(5) - (3 + (sqrt(1539) - (sqrt(1539) + 0 + 0 + sqrt(1539)))**2))*4.\nAnswer: -6168 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1003 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/3 - -1 - -142. Does l = 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.662, 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(104) - sqrt(104)))\/(sqrt(88)\/(sqrt(33)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6828 and 1176?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 37*s + 10. Suppose 25 = 4*j + j. Suppose -3*c = -2*c - 2*i - 10, i - j = -2*c. What are the prime factors of n(c)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 165 + 987 = 0. Suppose -25*g + v*g - 27478 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 10 + -6 + (-104 - -12) + -3 + -3?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1892\/6732 - 1\/17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**4 + 3*y - 4*y + 0*y**3 - y**3 in the form f + j*y**2 + k*y**3 + z*y**4 + h*y and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvgvvg. Give prob of picking 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0.1. Suppose 52 = b - 23. Let w be (-65)\/b - (-6)\/9. What is the smallest value in h, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 2*a + 2. Let i be x(-2). What is the tens digit of 16 + (-3 + i)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 6. Let p be a(-6). Suppose 2*t - t + 6 = p. List the prime factors of 8\/t*(-18)\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8757 and 21?\nAnswer: 8757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -570901167\/1419817280 + 283\/207424. Let m = 1\/1369 + f. Let k = 6 - 9. Which is the closest to -14? (a) m (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1, 0, -2602.\nAnswer: -2602, -29, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -16*t + 316. Calculate the remainder when 73 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4004 - -4.4004. Which is the third smallest value? (a) 0.23 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euu when three letters picked without replacement from {u: 2, e: 5, b: 9}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 2*s - 4*s - 3*s - 28, -3*s = 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**6\/540 + 5*f**5\/27 - 26*f**4\/27 - 11*f**2 - 6. Factor q(z).\nAnswer: 2*z*(z - 2)*(z + 52)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 214*i - 2*i**2 + 0 - 104*i**4 + 106*i**4 - 36*i**3 + 36*i**3 in the form j + k*i**2 + c*i + t*i**4 + o*i**3 and give c.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149397 = 2*x - p, 5*x = 2*x - 5*p - 224115. What is x rounded to the nearest one thousand?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.23 + 17. Let d = h + 0.13. What is the biggest value in 0.5, 2\/5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*q + 15*q + 1056 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 4 - (7 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51968815529 + 18*h - 51968815529.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 66. Calculate l(-34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*x = 594 - 149, -4*d - 4*x = -324. Let m = 159 + 65. Let l = 241 - m. Calculate the greatest common factor of l and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 518340 and 424?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 10249.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3379, -5, 88 in ascending order.\nAnswer: -5, 88, 3379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*t + 90*t - 2 + 30*t + 89*t.\nAnswer: 139*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.8 and 0.2.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 344014041 and -866.\nAnswer: 344013175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 9*u - 42. Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 182, 463, 830, 1253, 1702, 2147, 2558, 2905?\n\"Answer: -5*t**3 + 73*t**2 + 97*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957321.\nAnswer: 1957321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5*c - 100, -2*q + 0*c + c = -36. Let i be (q\/(-16))\/(2\/88). Let r be ((-132)\/i)\/((-1)\/(-35)). What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -646.125957 rounded to 0 decimal places?\nAnswer: -646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 515504 and 3232.\nAnswer: 1031008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3404007196 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015046 to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -11, -8, -5, -2, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -8075399.\nAnswer: -8075401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 41*a - 4. Let t(j) = -38*j + 3. Let m(b) = 3*g(b) + 4*t(b). Let y(v) = 3*v**2. What is m(y(k))?\nAnswer: -87*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 64, 57, 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**4 + y**2 + 210*y + 27802.\nAnswer: 8*y**3 + 2*y + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1591 + -1594 + (-5 - -7) + -1 + -31 + 2\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (11784\/6383)\/(16\/364)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u\/(u*(u*u**(-2\/11)\/u)\/u))\/u)\/u)\/u)\/(u\/(u\/u**(2\/11)*u)*u))\/(u**(2\/7)*u**(1\/2))*(u\/u**(2\/11))\/u**(2\/21)*u**6*u**1\/u*u assuming u is positive.\nAnswer: u**(2281\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 494986*j - 1484949.\nAnswer: -(j + 3)*(j + 494983)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 68. What are the prime factors of 4\/(-10) + 628\/20 + s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5623 + -5625.9. Put -1\/2, a, -4\/5, 0.5 in decreasing order.\nAnswer: 0.5, -1\/2, -4\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-2)\/4 - -1)*0)\/2. Which is the smallest value? (a) 5 (b) -2 (c) -1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 4 (c) 2\/15 (d) 103 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809068?\nAnswer: 2, 13, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, 0.2, 3, -0.111?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-95)\/35 - (0 + -3). Let m = 1.24 - 0.84. What is the nearest to l in 3\/5, m, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -4*l. Sort 1, l, 39 in decreasing order.\nAnswer: 39, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a - ba57?\nAnswer: -ba19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12622, 25176, 37730, 50284, 62838, 75392?\n\"Answer: 12554*y + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/3)*l*l**(-1\/6))\/(l**(-7)*l**11) assuming l is positive.\nAnswer: l**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46.540453646 and -0.02.\nAnswer: -46.560453646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 5*j**2 - 6*j. Let h be i(3). Suppose 2*r - 4*w + 61 = 7*r, -2*r + 3*w + 6 = h. Suppose 26461 + 19484 = r*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 30. Let d be (1\/c)\/(1\/7). Suppose -d*b + 528 = -b. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(112) + -1 - sqrt(112))*5 + -4)**2 + 2.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 106664*z. Let l(k) = 383*k. Give 1393*l(s) - 5*r(s).\nAnswer: 199*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-1275)\/(-550) + -14 + 2\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 116025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -11*k. Let t(l) = 25 - 3*l**2 - 25. Determine q(t(s)).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + z - 5)*(3*z + 4*z - 5*z)*(-3 - 14 + 9).\nAnswer: -16*z**2 + 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 38167586.1 minutes?\nAnswer: 3786.466875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6046426.0143 - 6046698. Let x = s - -272. What is x rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.27713 rounded to 2 dps?\nAnswer: 4.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgbj. What is prob of sequence gj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2909 - -136721\/47. Suppose -5*j = -6 - 4. Suppose -1 = -g + 2*b, g = -3*g + j*b - 2. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + 2 + 1 + sqrt(605) + (sqrt(605) - (sqrt(605) - (-1 + sqrt(605)))) + 4 + -5)**2.\nAnswer: 132*sqrt(5) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 11. Calculate g(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -61334*y - 61304*y + 3 - 2*y**2 + 2*y**3 + 122684*y + y**4 in the form n*y + d*y**2 + j + r*y**3 + t*y**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.610328872 to 4 dps.\nAnswer: -0.6103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1828 + 3227 = 75*a + 262*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -32 - (-50 + 40 + -6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395.34944 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37453.\nAnswer: 13, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -231551 minus -4?\nAnswer: -231547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80 + 142 + 2240*p**2 - 226 to the form s*p**2 + v + h*p and give s.\nAnswer: 2240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 11*k + 371 = 60*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 279396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-1 - (8 + 0)). Let v be 0\/(-1) - 17\/(-17). Let b = q + v. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -24*k + 279. Determine m(10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -476 - -480. Suppose 2*m = 0, x*n - 6 = 2*n - 2*m. Solve -3*u - 3*a = n, -a - 9 = -2*u + 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -j + 3*m, m + 15 = -3*j. Let h be (3\/(-2))\/((-3)\/j). Let i(c) = c**3 + 4*c**2 + 5*c + 4. Let b be i(-3). Are b and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*b - 60 = 0, 0 = -n - 3*b - b + 12. Solve x + 4*x = 5*q - 25, -n = -4*x - 4*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 - -360. Let v = 746 - n. List the prime factors of v.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6, -10, -36, -72?\n\"Answer: -5*j**2 - j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 18 = 0. Solve -5*d = -3*l - 18, -3*l - 5*d + h = -2*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*d - 7. Let z(b) be the first derivative of d*b + 0*b**2 - 3 - 1\/3*b**3. Let j(g) = g. What is j(z(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - a + (1 - 3 + 0)*(-2*a + 3 - 3) - 397*a + 1324*a + 1266*a in the form m + g*a and give g.\nAnswer: 2196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2702867776?\nAnswer: 2, 7, 83, 72689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 188553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -48. Let n = 3.3 - z. Let k be ((-4)\/(-14))\/((-3)\/(-14)). Put 0.4, n, k in decreasing order.\nAnswer: k, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*w, -2*g + w + 3*w - 22 = 0. Let f be (148\/(-52) - g)\/1. Is 1 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11 = -5. Let u = -6 + 5.6. Let c be (-10)\/12*(-8)\/(-40). Put c, b, u in decreasing order.\nAnswer: b, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160702367 a multiple of 2614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -17. Suppose -o - 9 = -d + 2*f, -38 = -2*d - 2*f. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 + 4*d**3 + 0*d**3 - d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.6 + -4.42. What is the smallest value in -0.4, i, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(-6))\/k*k\/((k\/(k\/(k*k**(1\/3)*k)))\/k))\/(k**0\/(k**(-4\/9)\/k)))\/((k*k**(3\/2))\/k**(-3\/2))**(-1\/39) assuming k is positive.\nAnswer: k**(623\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 8*m - 24, -5*m + 2291*n + 24 = 2287*n + 74 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(8*(-6)\/(-168)))\/(46\/(-69))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + 1*(sqrt(175) + 1 + sqrt(175)))**2.\nAnswer: -3545 + 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -0.5. Suppose -k - 39 = -5*o - 15, 3*o - 3*k - 24 = 0. Let h be (o\/(-10))\/((-3)\/5). Which is smaller: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70 + 1159*c + 69 - 139 + (-3 + 1 + 0)*(1 - 1 - 4*c) + 3*c + 0 + 0.\nAnswer: 1170*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(15)*2 + sqrt(75)\/(sqrt(45) + sqrt(5)))\/((sqrt(30)*-1*-3 + sqrt(30))\/(sqrt(250)*2)).\nAnswer: -85*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111630308*u**3 + 108*u - 1199702 wrt u?\nAnswer: 669781848*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -17*b**4 - 1520*b**3 - 24423*b**2 + 457700*b + 192500 = 0.\nAnswer: -50, -7\/17, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 8 - 1 = 0. Let n(w) be the first derivative of -w**2 + w - 2744. Calculate n(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/(2\/20). Let i(n) = -n - 5. Let j(c) = 4*c - 2*c - 5*c - 11. Suppose -3*d - 5*a = -81, 0 = 5*d - 384*a + 380*a + 50. Calculate d*j(g) + l*i(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 6*w**2 + 7*w + 9. Let k be l(-5). What is the nearest to -1 in 2\/9, -0.07, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169472181.\nAnswer: 3, 199, 283873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**2 - 2*t**2 - t**5 + t**3 - 2*t**4 + 0*t**3 + 0*t**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Solve o*k - 5 = -5*b, 3*k - 11 + 2 = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m - 2*m - 2*m)*(4 - 2 + 0) - 1800 + 0*m - m + 1814 + (m - 1 + 1)*(0 - 5 + 4) in the form s*m + l and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 14*m - 11*m - 1 = 0, -4*m + 5 = i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/1215 and -71\/50.\nAnswer: 12150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/7 and (-3)\/((-18)\/(-93)) - (-120)\/20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wumhueu. Give prob of sequence uwu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2936 >= -2936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.004 and -1.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*r - 5*r. Suppose 5*o = -r*x - 14, 0*x + 4 = -x - o. List the prime factors of -1 - (x - 2)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.499033mg to grams.\nAnswer: 0.002499033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 25. Let c(k) = a*k - 11*k + 4*k. Let d = 445 + -448. Determine c(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + c**2 - 3*c - 5. Let a be k(-1). Solve a = 3*q + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 91.\nAnswer: -45.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*m**3*s**3 - 13*m**3 + 725*m**2*s**3 wrt m.\nAnswer: 246*s**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 52\/(-16) + 2\/8. Suppose 2*y - 15 = 39. Suppose -5*b = 7 - y. Sort o, -1, b.\nAnswer: o, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36 - 61137376014.\nAnswer: -61137376013.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -17*w**6\/120 + 5*w**4\/6 - 17*w**2. What is the second derivative of d(t) wrt t?\nAnswer: -102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1101110001212121?\nAnswer: -1101110001212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-36) - (16\/(-18))\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 17. Let l be (-3 + 5)*17\/2. Suppose -4*y + b = -l. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91083\/5 + 18217. Let f be 2 - (0\/1 + 3). Which is the smallest value? (a) j (b) 8 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/907 and 19\/8.\nAnswer: 7256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**4\/4 + 10*p**3\/3 - p**2\/2 - 7*p + 28. Let y be m(-10). Solve 4 = -a - c, 4*a + 1 + 14 = -y*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 501 divide 7141154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*2 + sqrt(208) + 1 - (-3 + sqrt(208)*1 + sqrt(208)) - (-3 + -2 + sqrt(208) + 6*sqrt(208)*-3 + sqrt(208)))*6)**2 + 0.\nAnswer: 44064*sqrt(13) + 2166948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2779\/4 + 41689\/60. Let p(n) be the third derivative of -1\/2*n**4 + 4\/3*n**3 + z*n**5 - 16*n**2 + 0*n + 0. Factor p(w).\nAnswer: 4*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/780)\/(-9 + 7).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1480003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3275460*b*f**2*u**2 - 12*b*f + b*u - 12*b - f**2 - 7*u - 13 wrt u?\nAnswer: 6550920*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*t - 21*t - 19*t + 60*t + 1 in the form y + u*t and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = -0*a. Let b(t) = -t + 9. Determine b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 9*f - 3. Let b be ((-9)\/(-5))\/((-24)\/(-40)). Suppose l = 5*y + 13 + 15, 4 = 2*l + b*y. Calculate u(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346476342 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 10:23 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 2. Let r be -3 + 1*(4 + 5). Suppose r*j - 8 = 46. Calculate z(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -24 + 9 + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 0*h + 2*h)*(-3*h**2 + 0*h**2 + 4*h**2) + 3 - 3 + h**3 - 6526*h**2 - 210*h**3 + 6526*h**2 as l*h**2 + t*h**3 + b*h + o and give t.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1246 + 2343. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 2, -82, -5, -4, 6 in decreasing order.\nAnswer: 45, 6, 2, -4, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 514*v**3 - 35868*v**2 - 249704*v + 69648208.\nAnswer: -2*(v - 98)**3*(v + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 758*o**2. Let m(t) = -540*t. What is y(m(n))?\nAnswer: 221032800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 6*p**2 - p - 5. Let s be m(-6). Sort -14, -4, s.\nAnswer: -14, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*i + 36 = 0, 4*x + 3*i + 4 = -2*i. Suppose -4*u + 4 + x = 0. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.4371.\nAnswer: -0.4371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21121010202020022 + 1?\nAnswer: 21121010202020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**2*u**2 - 5*t**2 + 4072*t*u**2 + t + 479*u wrt u.\nAnswer: 2*t**2 + 8144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**5\/120 + p**3\/6 + p**2. Let k(z) be the first derivative of t(z). Let v(q) = -3*q**2 - 2*q**2 + 4*q**2. Give v(k(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 4. Let l be w(-6). Let q = 29 + -48. Let f = -26 - q. Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 388748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8*t - 103 = -p, -5*t = 5*p - 455. Solve -96*s + p*s - 4 = 5*j, 0 = -s + 5*j - 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 8:14 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = 20*p + 25, -2*s = -p - 2091. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-85) - 399\/(-105)) + (-1)\/(1\/43)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**4\/12 - 5*s**3\/6 + s**2 + 4*s - 6. Let c(a) = 2*a**2 - 11*a + 4. Determine 6*c(k) - 13*f(k).\nAnswer: -k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 24 = 7*f. Let z(u) be the second derivative of f*u + 5\/33*u**3 + 0 - 2\/33*u**4 - 2\/11*u**2 + 1\/110*u**5. Suppose z(y) = 0. Calculate y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-3))\/((-2)\/6). Let z = 97 - 27. Suppose -8*b = -b - z. Solve -b = -v*l - l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3561.171 nanoseconds to microseconds.\nAnswer: 3.561171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.017\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*v**5 + 2*v**4 + 2*v**3 + 432*v**2 - 3*v + 1?\nAnswer: -2040*v**2 + 48*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 15 = -0. Let h = -2 - s. Differentiate h*u - u + 0*u - 3 - 4*u wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/7 or 21.66?\nAnswer: 21.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 7) + 6 + (4 - (1 + 33)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774.765 millilitres to litres.\nAnswer: 0.774765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1039275 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - ((128\/68 - 1) + 16\/136). Solve -j + 1 = 2*q, 5*j = -y*q + 62 - 57 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -20*m + 16*m + 3*m + 11*m + 9*m. Let r(u) = 5*u**2 + 3*u. Calculate r(h(o)).\nAnswer: 1805*o**2 + 57*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1056881 (base 9) to base 11.\nAnswer: 359833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(17)*-3 + 3)**2.\nAnswer: -54*sqrt(17) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**4\/12 - 7*r**3\/3 - 133*r**2 - 1. Give i(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.5. Let d = -106\/3 - -36. Let u = -6 + 6. Which is the nearest to 0.1? (a) u (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11\/3*p**3 + 0*p + 0 - 2\/3*p**2 - 3*p**4 = 0 for p.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 + -25?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + ((-18)\/15 - -3). What is the second smallest value in 1\/3, l, 5\/2, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18774510581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000137412 rounded to seven decimal places?\nAnswer: 0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*a - 3*b + 19, 5*a = -3*b + 49. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(37 - 21 + b + 11).\nAnswer: -2*b - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(1700)*-4 - ((sqrt(17) - ((sqrt(17) - (sqrt(17) + sqrt(17)*-1)) + sqrt(17))*-6)**2 - (sqrt(68) + -3))).\nAnswer: -17256 - 228*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 65351, 262574, 591665, 1052624, 1645451, 2370146?\n\"Answer: 65934*c**2 - 579*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1593153 - 11*x**2 + 1593153.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319339 is divided by 103921.\nAnswer: 7576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.41370191 and -36?\nAnswer: 35.58629809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -5) + (-1 - (-8)\/4). Sort -8, d, 3, -4 in decreasing order.\nAnswer: d, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170210 is divided by 186?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49611 * -97.\nAnswer: 4812267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3807607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + 56. Let l be 2\/((80\/p)\/8). Let d = l + -7. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 78564.2 hours?\nAnswer: 282831120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014043 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i - i)*(-665*i**2 + 1 + 1 + 6*i + 701*i**2).\nAnswer: -72*i**3 - 12*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 292?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54890 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*k - 366 = 0, 39 = 2*j - 4*k - 119. Solve 4*t - 89 + j = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -m - m + 5*a, 0 = -m + 5*a - 21. Let c = m - 0. Let h = -2\/21 + -13\/84. What is the biggest value in 3, c, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-816)\/17)\/24)\/((-1)\/(-4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 331. Let m(b) = -b**3 - 3*b**2 + 5*b + 4. Let h be m(-4). Is c(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 20. Let o be v(9). Solve 5*n = o*n - 4*y + 14, 5*n - 14 = -2*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3321507 and 587517.\nAnswer: 5817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 391794757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 384, 767, 1162, 1575, 2012, 2479, 2982, 3527?\n\"Answer: n**3 + 376*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/31167 and -74\/27?\nAnswer: 93501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006299 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a - 7 - 4*a + 9 + 2*a - 2.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:34 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + (-82 - (73 - 151))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/511506 and -19\/5430.\nAnswer: 2557530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.027 - 3.373. Let a = -8.4 - s. What is the second biggest value in 1\/3, -0.05, a, -0.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let l be s(2). Suppose 5*t + 2*z - 31 = 0, -4*t + 23 = -z + l*z. Solve -7 = -t*g - 32 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**2 - 102*l - 575. What is u(-6)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14182, 14567, 14952, 15337, 15722?\nAnswer: 16107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/119 (b) -80\/7 (c) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, u: 4, a: 2}. What is prob of sequence ay?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-102)\/5)\/(11 + (-988)\/90) + 3. Suppose -3*b = -0*b - 6234. Let s = b + l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -4*z - 2*g - 6, 2*g + 6 = -2*z. Let t = 8 - 13. Let y = 5.4 + t. Sort y, -0.4, z.\nAnswer: -0.4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Suppose -15 = u - l*u. Solve u*i + 0*i = -25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 2*f - 1. Let y be x(-1). Suppose 12 = 2*z + 2*q - 6*q, 3*q = 2*z - 11. Calculate the greatest common factor of y and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*h - 38918, -45*p = -49*p + 3*h + 31140. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6218 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, p: 3, u: 4, h: 1, x: 4, n: 4}. What is prob of picking 4 x?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*g**3 - 2*g**4 + 5*g**3 - 3054*g**2 + 3943*g**2 + 2*g**4 - 61*g**6 wrt g?\nAnswer: -7320*g**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/120 - x**4\/24 - 3*x**3\/2 - 10*x**2 - 100*x. Suppose -f = -0*f. What is v(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Suppose 3*c - z*l = 302, -3*c + l + 0*l = -314. Suppose 2*w = 48 + c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let n(o) = -16*o. Let u(w) = -12*w + 36. Let c be u(5). Let t(r) = 78*r. Let j(v) = c*n(v) - 5*t(v). Calculate p(j(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 f when three letters picked without replacement from {n: 2, m: 1, p: 3, w: 3, e: 2, f: 3}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13651415513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41277*o**2*t**2 + 2*o**2 + 26545*o*t wrt t?\nAnswer: 82554*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -26. Suppose f + 15 = -3*y. Let c(z) = -z**2 - 12*z - 7. Let t be c(y). Solve 4*h = -2*s + 4, 11 = 4*s - t*h + 9*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -2\/357 (c) 3825\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -n - 5*g - 14 + 30, -3*n + 11*g + 120 = 15*g for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 805198.8g in milligrams?\nAnswer: 805198800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 737\/2 + -339. Suppose -3*f = -7*f - 2856. Find the common denominator of (-2)\/(-6) + f\/198 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 9 = 4*y. Calculate the least common multiple of 2 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 4*a**2 + 14*a + 14. Let j be y(-6). What is the third derivative of -3*i**3 - 23*i**4 + 0*i + 7*i**4 + 5*i**j + 15*i**4 - 2*i wrt i?\nAnswer: -24*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 204424b4 + 4?\nAnswer: 204424b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)*-4 - 2. Let u(b) = -6*b + b - 6*b**2 - v + b**3 + 2. Is u(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -19*l + 7. Let w(s) = -72*s + 27. Let z(b) = -7*w(b) + 27*x(b). Let n(g) = 5*g**2 - 39. Determine n(z(c)).\nAnswer: 405*c**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/6 + (3 - 0). What is the smallest value in d, 0.4, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2052 + 4*l**3 + 2044 - 8*l + 2036 - 6132.\nAnswer: 4*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 46 = 54 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 6*w)*(-2*w + 1 - 1 + (2*w - 3*w + 4*w)*(2 - 1 - 3)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*13\/((-936)\/408).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1114*5.\nAnswer: 5570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 2. Let t(m) = -2*m + 2. Let r(n) = 3*j(n) + 2*t(n). Let d = 11 + 6. What is the remainder when d is divided by r(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 15, 141, 2, -5.\nAnswer: -5, 2, 15, 18, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 772772 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*2*3\/14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -3. Let x(a) = -2*a**3 - 15*a**2 + 7*a - 5. Let k be x(t). Solve 3*s + 0 + k = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78359.87km to micrometers.\nAnswer: 78359870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-2 - (-21)\/6). Let v(l) = l**2 + 4*l - 2. Let s be v(h). Let q(j) = -2*j - 2. Is q(s) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -34 + (0 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 35. Solve 4*b + 5*o - 4 = 0, -4*b - b - 4 = u*o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209769685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734*g - 737*g = 96 - 21 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.21 + 4.21. Which is the nearest to -0.1? (a) r (b) 3 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/54378 and -91\/57346.\nAnswer: 29418498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257236 is divided by 128612.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 49, 101, 185, 307, 473, 689, 961?\nAnswer: 1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*j - 58*j - 9*j.\nAnswer: -110*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.01 (c) -0.4 (d) 0.195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Which is the biggest value? (a) -3 (b) q (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78769\/10 or 7878?\nAnswer: 7878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 47\/(-2)*(-2 + 4). Let t(c) = -2*c**3 - 48*c**2 + 48*c + 61. Let m be t(-25). Let h = y + m. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 701762, 701765, 701768, 701771?\n\"Answer: 3*o + 701759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -217*k + 168 - 346 + 178 + (-1 + 3 + 1)*(3*k - 3*k - 3*k).\nAnswer: -226*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*i = 154*i - 12870 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 13584 = -22*z. List the prime factors of z.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 492 and 312.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -4*u. Suppose 2*l + 28 - 4 = u. Let q be 3*2*l\/(-9). Solve w = -3*w + q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(117)\/(sqrt(576)*-4).\nAnswer: -4 - sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 4)\/((-630)\/204 + 3). Which is the second smallest value? (a) -4 (b) -5 (c) -61 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 55*a**3 - a**2 + a. Give u(1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699 - 404 + 692 = 47*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77299 is divided by 1983.\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/98 and 1 + (-177)\/231 - (-30)\/165.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (15 - 11)) + 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 17*f - 24 = 0. What is the lowest common multiple of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v - 54*v + 25*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -6. Let v = i + -1. Which is the third biggest value? (a) v (b) 3\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*g - 40*g + 444 = 10*g. Let i(n) be the third derivative of -1\/8*n**g + 3*n**2 + 0 - 1\/2*n**3 + 0*n. Calculate i(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - ((-178 + 178 - (-2 + 9)) + 3 + -1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -87*a + 89. Solve -19*b - 69 - 7 = a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*b = 3*p + 11, -5*p + b - 17 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14957335?\nAnswer: 5, 43, 73, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = c + 7. Let i be ((-5 - 12) + 5)*(c - 6). Let o be -2 - 10\/3*i\/(-125). Which is greater: o or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 781112 + -554139. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b0b8 (base 13) in base 8?\nAnswer: 57376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-3))\/(31*(-62)\/(-2883))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -90, -57, 12, 129, 306, 555, 888, 1317?\n\"Answer: 2*y**3 + 6*y**2 + y - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15*2)\/3)\/1. Sort -1, s, -4.\nAnswer: s, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28946, -127437, -291588, -521399?\nAnswer: -816870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16274812 is divided by 176900?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.2 + -6. Let b = j - 5. What is the third smallest value in 2, 3\/2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/4 + v**3\/4 + 3*v**2\/2 - v - 2.\nAnswer: -(v - 2)**2*(v + 1)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 40168.5964 to the nearest 100.\nAnswer: 40200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, v: 1, q: 3, z: 2, w: 5, t: 2}. What is prob of sequence tte?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 12*l**2 - 10*l - 10. Let w be k(11). Suppose w = 3*q + 4. Let a(s) = 10*s. Let b(d) = 7*d. Let u(g) = -5*a(g) + 7*b(g). What is u(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:38 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18980*o - 3466*o + 27 - 27 + (-1 + 0 + 0)*(6*o - 2*o - 3*o) - 5*o + o + 2*o.\nAnswer: -22449*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 4*f + 4*f)*(2 - 1 + 2) + 3*f - 3*f - f - 2*f + 2 - 2.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-20) - 16\/(-20)*(-21)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 101*x**2 + 53*x - 601. What is the tens digit of g(49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1850 or -1849?\nAnswer: -1849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 9*p**2 + 19*p + 3. What is d(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321465 is divided by 1837.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -23034?\nAnswer: 23040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1950540 and 61560.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 103528739.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (12 - (-17 + 47 - 16))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-2)*4\/(-42)*-14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t + 83*t**2 - 25\/24*t**4 + 85\/6*t**3 + 0. Differentiate w(g) with respect to g.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18120915271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 24 + 1 + 2 - 8*h. Let s be o(11). Let t be 2\/(3\/(27\/s)). Which is the closest to t? (a) 1\/8 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*k**3 - 52*k**3 + 111*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**2 + 4960*a - 916656 = 0.\nAnswer: 226, 1014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4157*k**2 + 2064*k**2 + 715*k**2 - 929*k**2.\nAnswer: 6007*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from cczcdydxydxxiz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1348 and 34068341?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 572950 and 687540.\nAnswer: 3437700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -0.4, 0.59, -3, 2 in descending order.\nAnswer: 2, 0.59, -0.18, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.22834 nanoseconds in milliseconds?\nAnswer: 0.00008122834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 - (4 - (-2 - -6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -g - 12, 2*z = 30*g - 26*g + 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108190 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/20 + n**4\/12 + 2*n**3\/3 + 20*n**2. What is the first derivative of b(u) wrt u?\nAnswer: -6*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/3)\/(4\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 548600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z - 499 = -3229. Solve 105 = f + z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/7 or 1?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 41*u - 49. Let r be l(4). Let s = r - 88. Solve 2 - s = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-3 - 2*-2). Suppose 6 = h + d. Suppose 2 = -b + h*b. Solve -4*g = -10 + b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, 121, 360, 707, 1168, 1749, 2456?\n\"Answer: o**3 + 45*o**2 - 5*o - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 + (-632)\/9. Let v = 105 + l. Calculate the remainder when 19 is divided by (v\/28)\/(1\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Suppose 77 = 4*d - u*d - 3*m, -3*d - m = -61. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 - 0.4. Let s = 3 + m. Let q = 13521 + -13526. Which is the third smallest value? (a) s (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -37. Let k be -1*(1\/p - -2). Suppose b = -3, 0*r = 2*r + 5*b + 13. Sort r, -4, k in ascending order.\nAnswer: -4, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -209.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -479*p**3*x - 2123*p*x**3 - x**3 + 26*x**2 - 26*x + 5 wrt p.\nAnswer: -1437*p**2*x - 2123*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5038185*v**3 + 14080219*v**2 wrt v?\nAnswer: 30229110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ata when three letters picked without replacement from {a: 2, t: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8) - (-145)\/20. Let a(w) = -k*w**2 + 3*w**2 + 3*w**2. Let f(x) = x**2. Calculate f(a(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -15*c + 55. Give l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102001021020 (base 3) to base 12.\nAnswer: 301466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 103*a**2 + 209*a - 131. Calculate c(-105).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d + 3239 - 1618 = 1579 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179673 is divided by 809?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*l + 3*m - 7, -4*m + 843265 = -l + 843313 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 20*d**4 - 1464*d**3 - 351188*d**2 + 70296*d = 0.\nAnswer: -101, 0, 1\/5, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/480 and 107\/80?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 37.9. Let y = -137 + 188. Suppose -10*x = 61 - y. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124.721233 rounded to the nearest integer?\nAnswer: -1125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.267799 millilitres in litres?\nAnswer: 0.000267799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001132 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/(-36) - 27\/4 and -23\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**2\/2 + 3. Suppose -3*z = 2*z + 5*a - 120, 0 = -3*z + 4*a + 37. Let m(l) = 15*l + z*l - 13*l. Calculate m(x(t)).\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 4) in base 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/16, 1, -882, 0.1, 3, 27\/8, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5 - (-28)\/5 - 5871\/1197.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-17))\/((-2250)\/17000)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -1762.35.\nAnswer: 17.6235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/5174 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9 - 632\/(-72) - 2\/(-9). What is the third biggest value in 1\/7, -2, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 46689 = 3556301. Suppose 3757403 = 6*m + l. Round m to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 2*h**7\/105 + 11*h**6\/15 - h**5\/15 - 11*h**4\/3 + 13*h**2\/2 - 5*h + 8. Let f(c) be the first derivative of m(c). Factor f(o).\nAnswer: 4*o*(o - 1)*(o + 1)*(o + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*o + 16 = 0, 0 = -2*o + 10 - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**0*n)*n)**(16\/5)*(n\/(n*n**4))\/(n*n*n**(1\/3)))**(-19) assuming n is positive.\nAnswer: n**(893\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4728162 - 14735962. What is u rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o + 20. Suppose -o*y + w + 20 = 0, 2*y + w + 8 = 3*y. Suppose 0 = -0*t - 4*t + 8. Is y less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2669*w**2. Let h(n) = -2*n + 421. Determine h(u(g)).\nAnswer: -5338*g**2 + 421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1871*q + 101108. What is b(54)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 27*q**2 + 9*q - 22. Let w be l(-15). Let i = 2621\/5 - w. Calculate the common denominator of 61\/15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43772?\nAnswer: 2, 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 332101336 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-3)\/6*2. Let p be (z\/(-8))\/((-4)\/(-464)). Let q be p\/(-15) + 72\/18. Put q, -1\/3, 2 in ascending order.\nAnswer: -1\/3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 15. Let i be (-4)\/(-6)*(-18)\/c. Suppose -2*h = h - 72. What is the highest common divisor of i and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4 - v + 4*v + 0*v - 3*v + (-2 + 6 - 3)*(3 - 3 + v) - 4*v + 6*v - 4*v - v - v + v + 4*v - 4*v - v)*(v**4 - 6*v**4 + 3*v**4).\nAnswer: 6*v**5 - 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*p - 166*p**4 - 185*p**4 + 157*p**4 wrt p?\nAnswer: -2328*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 246*i + 10943. Give l(-59).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-5)*y)\/(y*y**(-6)\/y)*((y**0*y)\/y)**(-41\/5)*(y*y\/(y*y\/(y**(-2\/9)\/y))*y)\/(((y\/y**(-1))\/y)\/y)*(y**(1\/4))**(33\/2) assuming y is positive.\nAnswer: y**(1217\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8 = 2*a, -3*f + 8*f - 3*a = 38. Factor 1\/2*c**5 + c**2 - 3*c**3 - 3\/2 + 5\/2*c + 1\/2*c**f.\nAnswer: (c - 1)**3*(c + 1)*(c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*n - 3 - 1, -2*g = 3*n + 16. Let f(l) = -l**3 - 3*l**2 - 2*l + 2. Let a be f(g). Suppose -6\/5*b**a - 2\/5 - 2\/5*b**3 - 6\/5*b = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -4, -0.3, 0, 10210?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 2:18 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3210 + -12122?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*d - 3316390 = -3308779 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkbkkkkb?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19087 + -19082. Which is the third biggest value? (a) o (b) -1\/5 (c) 259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -13*v - 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1517 and -9912.\nAnswer: -11429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 341794.9 years?\nAnswer: 4101538.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(49)*4)\/sqrt(7).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3939808 and 2424?\nAnswer: 11819424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 42*t + 55. Give j(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7189 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/13 - 524*j\/13 + 2128\/13.\nAnswer: -2*(j - 4)*(j + 266)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:12 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8412264 divided by 42.\nAnswer: 200292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6*(8\/(192\/12))\/(2\/(-4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-1)*(0 - -1). Is 3*(l - 4) - -29 - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i + 8. Let s be j(-5). Let t be (-3)\/(-12) - 7\/s. Suppose 3*g - 50 + 32 = t. Solve -2 = -4*m - g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278050 divided by -83?\nAnswer: -3350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 + 1 - m**2 + 13*m - 4*m. Suppose -5*w + 313*w + 121 = -495. Calculate the remainder when 12 is divided by d(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-1057)\/(-84)) + (-230)\/(-184)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45619 greater than 45578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -421, -826, -1227, -1618, -1993, -2346, -2671, -2962?\n\"Answer: m**3 - 4*m**2 - 400*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -2, 6, -4 in decreasing order.\nAnswer: 6, -2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f - 5*f - 2 + 6*f - 7*f. Let k be j(-1). Let m(r) = 7*r + 242. Is 22 a factor of m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*a - 32*a**2 + 84*a - 231*a + 81*a.\nAnswer: -32*a**2 + 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883854292?\nAnswer: 2, 71, 149, 20887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 304*j**2. Let u(m) = 2*m. Calculate b(u(z)).\nAnswer: 1216*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26363 (base 11) in base 13?\nAnswer: -14210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -25, -55, -99?\n\"Answer: -7*d**2 + 5*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -8. Let b be (0 + 2 + h)*0. Solve f - 5*f - 8 = b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1189155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23441 - -36363. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -341 and 3.\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 40 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1921\/(-3842)*(-4)\/(-6))\/((1144\/(-6))\/(-4))\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (15 + 8 + 26 - (-1 - -10)) + 6.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2\/9 (c) 17 (d) -14 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 19*c**2 + c + 1. Give n(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -457*n**3 + 251*n**2 - 3*n + 4. Is m(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*c + 341415 = 287*c. What is the units digit of c\/(-85) - (-2)\/17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9576887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + -3 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 12:34 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.9034877 to 1 decimal place.\nAnswer: 36.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 11000011?\nAnswer: -11001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**3\/3 - 5*s**2\/2 - 3*s + 9. Let c be t(7). Solve 0 = 4*n - 5*m - 21, 0*n - 3*m - c = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 102\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 211 and 273?\nAnswer: 57603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -29*x**2 - 97*x + 178. What is w(2)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 31*d + 3*d)*(4 - 3 + 2) + 16*d - 16 + 16 + (-1 - 1 + 0)*(-5*d + d + 3*d) + (-3*d + d + 0*d)*(-2 + 0 + 3).\nAnswer: -62*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + 4 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078694928 a multiple of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -29771.47 rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) - -3*sqrt(1440)*-3)\/(sqrt(288) + sqrt(288) + -3*3*sqrt(288)).\nAnswer: 8*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 21948 + 21885 = -4*f, 0 = -f - 6*r - 45. Determine i so that 3\/2*i - 3*i**2 + f = 0.\nAnswer: -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 - 51) + (-17 - (1 + 0))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8596.868 litres?\nAnswer: 8596868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54266 by -1.\nAnswer: 54266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwnj when four letters picked without replacement from ncxxccccxcgjxcwcnnwg?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185092 + 106121. Let b = -20532327\/260 - u. Let t = b + -6\/13. Is t greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-97)\/(-4070896)*86)\/(-2*(-1)\/(-4)).\nAnswer: -1\/244","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 332305.\nAnswer: 3\/332305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**3 - 737485047*b + 737485047*b.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6271.564*8\nAnswer: 50172.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006792 to seven decimal places.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k - 5. Let q be r(3). Suppose q*n - 39 = -298. Put 5, -4, n in decreasing order.\nAnswer: 5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 530 - 526. Suppose y = 2*y - s*i + 16, 4*y + 2*i + 28 = 0. Let t(h) = h**3 + 8*h**2 + 3*h. Determine t(y).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21*(-1 - 1038\/(-1050)))\/((-21)\/35). Let q = -18.4 - -18. Let k(u) = -u**2 + 7*u - 5. Let o be k(5). What is the closest to f in o, q, -0.06?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*o - 7 = 0, -5*p + 4*o + 16 = 5*o. Suppose z + 2*z + 5*f - 8 = 0, -5*z + 2*f = -p. Is 1*-49*z*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 7 = 3*n + 2*w, 7 = -n - 3*w. Let i(o) = o**2 - 5*o. Does 9 divide i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190.68735 minutes to hours.\nAnswer: 3.1781225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {x: 1, n: 3, a: 2, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + 23\/((-2346)\/(-216))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, i: 6, a: 3, b: 2}. What is prob of sequence iia?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/24 - v**3\/6 + 11*v**2\/2 - 11. Let d(i) be the second derivative of q(i). Let y be (-2 + (1 - 0))*2. Calculate d(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/((-11)\/(-440)). Suppose 5*p - 8 = w, -5*w - 5*p + g = -0*p. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2648634288.\nAnswer: 2, 3, 103, 535727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2\/33, -2\/15, 0.3 in descending order.\nAnswer: 0.3, 2\/33, -2\/15, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6\/(-45) - (-1868)\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2402*y**2 - 1627*y?\nAnswer: -4804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -6915*b**5\/2 - 6921*b**4\/2 + 6909*b**3\/2 + 6921*b**2\/2 + 3*b = 0.\nAnswer: -1, -2\/2305, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/3708 and -157\/30444.\nAnswer: 9407196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-3))\/(-10) + 410\/6. Let f = 24 - b. Calculate the remainder when 7 is divided by (8\/12)\/(129\/f - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0*t**2 + 3*t**2)*(6*t - 11 + 11)*(-71 + 71 + 54*t**2).\nAnswer: 648*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101 (base 3) in base 4?\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 129983*o**2 - 259959*o - 389943.\nAnswer: -(o - 129981)*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (62 + 50 - 27)*(3 - 2 + 1)*(-2*l + l + 2*l)*(-3*l**2 + l**2 + 0*l**2) as o*l + d*l**2 + c*l**3 + x and give c.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232*g - 2542*g + 1303*g = 861 for g.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45310 + -45311.49848. Let m = -5 - -6.5. Let s = m + o. What is s rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 2, e: 1}. Give prob of picking 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - f + 3 = 0, 7 = 8*k - 4*k + 5*f. Suppose 0 = 5*q - 4*q - 27. Let m = q + k. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:43 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + k - 1557 = 0, i - 5*k = 137 + 247. Let t = -165 + i. Let d be 4\/6 - 164\/(-6). What is the greatest common factor of t and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114728 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: 0.14 times 0.79\nAnswer: 0.1106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2691 or -2640?\nAnswer: -2691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190 - 171.6. Let c = i - 0.4. Let s = 18.9 - c. Round s to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**3 + 28*x**2 + 11*x - 2.\nAnswer: (x + 1)**2*(15*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z**3 + 404*z**2 + 404*z**2 - 1215*z**2 + 401*z**2.\nAnswer: 24*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 1362486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/8 + (-171)\/(-54)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -273 - -273. Suppose c = 113*f - 107*f - 714. Calculate the remainder when f is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 2, h: 1, w: 1}. Give prob of picking 1 h and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-3) - (-59)\/(-177).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7500 = -9*n + 1374. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, l: 9, f: 4}. What is prob of picking 1 l and 2 h?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*s + 355*s - 41895 = -137*s - 475*s for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*-9*(-15)\/1215.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 83531, 167060, 250589?\n\"Answer: 83529*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y - 2. Let h = 133 + -135. Let v(f) = -10*f + 7. Give h*v(o) - 7*w(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - 5 - (-44 + 25).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x - 2*x**2 - 20353 + 20353 + 29*x.\nAnswer: -2*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 534 and 874?\nAnswer: 233358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 5*c - 2. Let y(q) = -2*q**2 - 45*q + 69. Let l(w) = -w**2 + 10*w - 13. Let n be l(11). Let b be y(n). Determine g(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/6 - (-904)\/12?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 44, 70, 126, 224, 376?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/19 (b) 1\/7 (c) 2\/15 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68254 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = 0, -4*s + u + 11 - 1 = 0. Let f be 12\/24*4*s. Which is the second biggest value? (a) f (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/9))**(2\/63)\/(f\/(f*f**3\/f)*f*f*f**(-1\/2))*(f*f*f**(1\/2))\/((f\/((f**6*f)\/f))\/f)*f**(2\/7)*f*f*(f**(-7\/5)\/f)\/f*f assuming f is positive.\nAnswer: f**(25261\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 13*w**5\/6 + 11*w**4\/24 + 105*w**2. What is the second derivative of a(q) wrt q?\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r = 80. Let m = r + -16. Suppose j - 23 - 1 = m. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1186445, 2372729, 3559013?\nAnswer: 4745297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 870 - -10403. List the prime factors of s.\nAnswer: 11273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-6)*13\/(-26). Which is the nearest to 3? (a) -3\/2 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15\/809 - 929\/6472. Which is the second biggest value? (a) q (b) 13.7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 938543887 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 + 3*k + 1. Let s be a(-2). Find the first derivative of -s*p - 14*p + 22 + 8*p wrt p.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16293 - 16150 = -13*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.019*-197.\nAnswer: 200.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, k: 5}. Give prob of sequence sk.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 5*c - c)*(c**2 + c**4 - c**2)*(2 - 1 - 3).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*b = -2*x - 21, 2*b + 10 = 0. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/14)\/((-39)\/858)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-18 + (6 - -6) + -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -484955, -969919, -1454885, -1939853, -2424823, -2909795, -3394769?\n\"Answer: -i**2 - 484961*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -398 - -396. Which is the smallest value? (a) n (b) 0.4 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -6. Let w = 997 + -994. Solve -11 - o = -w*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 24393690.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -28. Suppose 24 = -d*h + 6*h. What is the greatest common divisor of 9 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*h - 30, 13 + 37 = 5*h + 2*q. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(950)\/sqrt(2)*-4 + 0 + -2 + (sqrt(1539) - (sqrt(1539) - sqrt(1539)*1)) + 2 + sqrt(1539) + -1)**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*z**3 - 3*z**3 - 12*z + 5*z wrt z.\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.058074 to three dps.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55446279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75444235651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 336727683, 336727682, 336727681, 336727680, 336727679, 336727678?\n\"Answer: -s + 336727684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -84*i - 34*i + 520 + 530 - 1048. Let o(v) = 38*v**2. Determine g(o(u)).\nAnswer: -4484*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**3 - 7*u**2 - 5. Let h(v) be the second derivative of -v**5\/20 + v**4\/4 + v**2 + 13*v + 3. Give -5*h(b) - 2*s(b).\nAnswer: -b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -f - f. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 322 - 200. Let r = s + -74. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673757.\nAnswer: 3, 61991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -35*n + 40*n - 3, 0 = n - 4*g - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1462985 - 487653 + 3*y - 487685 - 487647.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 3. Let v be (-1)\/1*24\/8. Let m(x) = 2*x - 6. Let b(r) = 4*r - 13. Let i(o) = v*b(o) + 7*m(o). Calculate -5*i(d) + 6*l(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from llllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Let w be 225\/(-15)*3\/(-9). Let u be 1\/4 + (-105)\/20. Sort w, z, u.\nAnswer: u, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54, 109, 164, 219, 274?\n\"Answer: 55*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17*l + 15*l = 26, 4*l - 52 = -5*g. Solve -b = -t, t = g*b - 3*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 67 = 40*o - 178. Solve -y - o = 4*g + 7, g + 9 = -3*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*v**2 + 66*v**2 + 2 + 659*v**2.\nAnswer: 894*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 1:46 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 - 2177?\nAnswer: -2481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7590932 rounded to 3 dps?\nAnswer: 1.759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 76*a**2 + 4336*a + 173. Give z(-38).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8*g - 36. What is the remainder when 41 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 878964.1 weeks?\nAnswer: 6152748.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4302\/30 + 9\/15. Let p(k) = 2*k - 12. Let u be p(8). Suppose -5*x + 5*n = -x - y, 5*x + u*n = 221. Calculate the greatest common factor of x and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-64)\/40)\/((-4)\/270). Suppose -5*t + t = -m. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(833) + -1 + 4 + sqrt(833) + 4 + (sqrt(833) - (sqrt(833)*-1)**2).\nAnswer: -824 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 96 + 44 + 891 + 306.\nAnswer: 6*g + 1337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145955 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -160160 - -41?\nAnswer: -160118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100003083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -558*f**2 - 2*f + 1946 wrt f.\nAnswer: -1116*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q**3 - 4*q**3 + 3*q**3)*(5106 - 1089 + 3980 - 1808) in the form r*q + k + p*q**2 + f*q**3 and give f.\nAnswer: 24756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0805 + -4712\nAnswer: -4712.0805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, k: 15}. What is prob of sequence kkk?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 14*t = -13*t - 46, -4*y + 5*t + 17 = 0. What is the closest to -0.1 in 5, y, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824 - 431 - r**2 - 393.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**2*s*y - 14418*c**2 - 1325400*c*s*y - 3124*c*y wrt s?\nAnswer: 3*c**2*y - 1325400*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 14*y**2 + y - 12. Let d be q(14). Solve 0*c**3 - d*c**2 + 4*c + 2*c**3 - 4*c**2 = 0 for c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69832 and 273694054.\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {y: 4, i: 2, p: 4, f: 4}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dd2 + -2?\nAnswer: dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69.4 + 1.6. Let b = 55.6 - x. Let d = b - -23. What is d rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(343) + (sqrt(343) - (sqrt(343) + 3*(sqrt(343) + sqrt(343) + 1))) + (-2*(sqrt(343) + 1) - 5*(sqrt(343) + 2*sqrt(343))))*-3)**2.\nAnswer: 19530*sqrt(7) + 2966832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 101011?\nAnswer: 101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101011 - -231?\nAnswer: 101302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 0*u - 5*u + (-2 + 4 + 0)*(u - 2*u + 0*u) - 2*u - 1852 + 1244 - 2470 to the form c + n*u and give c.\nAnswer: -3078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14801.49 less than -3?\nAnswer: 14798.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 3*o + 18. Let c be l(0). What is the tens digit of 26\/(-117) + 4036\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 141356, 282740, 424076, 565340, 706508?\n\"Answer: -4*q**3 + 141412*q - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*o + 3797 + 2867. Suppose -x - 5*q + 56 = 0, 3*x + 2 = -2*q + o. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00220734893 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14796 divided by 3699.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-49) - 132\/28.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -246\/47, 0.2, -6, -0.01 in descending order.\nAnswer: 1, 0.2, -0.01, -246\/47, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-72) + 0\/(2 + 2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 150*r**2 + 2465*r + 2310.\nAnswer: -5*(r - 42)*(r + 1)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**5\/4 - 25*y**4\/12 - 35*y**3\/6 - 15*y**2\/2 - 38*y + 63. Let p(r) be the first derivative of g(r). Let p(k) = 0. What is k?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*1*-3)\/((sqrt(72)*2 + sqrt(72))\/sqrt(8)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 b when three letters picked without replacement from {n: 3, b: 1, m: 6, t: 5, a: 1, v: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**2 - 600*f = 0.\nAnswer: -150, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 45. Let k = -5.94 + -0.06. What is the third smallest value in k, c, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25518119129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*l + 32*v, 164*v + 8 = l + 161*v for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - q - 38 = -3*s - s, 26*s - 2*q = 37*s + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-12))\/((-5)\/(-10)). Let z = -0.5 - 3. Let g = z - 0.5. Sort -6, g, i in ascending order.\nAnswer: -6, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.612 + 0.388. Let w = -2792\/11 + 254. Which is the closest to -0.1? (a) 0.1 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4757*b**3*j + 176*b**3 - 31*b*j**3 - 1424 wrt j.\nAnswer: -4757*b**3 - 93*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**3 - 10*c**2 + 14*c + 10. Let s be z(5). Does 16 divide s + 2 + 0\/(-6) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*t + 4 - 9 = 0, 5*m + 3*t = 21. Let z be (m + (-18)\/7)*1. Which is the smallest value? (a) -2 (b) z (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36162*d*o**2 + 2*d*o + 34802724*d + 33*o**2 - 10*o + 4 wrt o?\nAnswer: 72324*d*o + 2*d + 66*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/(2\/6). Let j(i) = -i**3 + 11*i**2 - i + 12. Let d be j(11). Suppose 3*f = 11 - 2. Solve f = -y*s - d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = 5. Let h be 202002\/(-1 - j)*-10. Suppose -k + h = -3*g + g, 0 = k + 3*g - 1009985. Round k to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 3:01 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -11\/126*v**7 + 0 - 1\/18*v**4 - 1\/4*v**5 + 0*v**3 - 11*v - 4\/15*v**6 + 0*v**2. Suppose y(l) = 0. Calculate l.\nAnswer: -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4116\/(-66885)*(-5)\/2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10210*m**3 + 22448*m**2 wrt m.\nAnswer: -61260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -899 - -896. Let r = 0 + 0. Which is the nearest to r? (a) y (b) -2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 24*k. Let h be x(6). Let c be (h\/45)\/((-4)\/(-10)). What is the highest common factor of 40 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000010010 (base 2) in base 4?\nAnswer: 200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5*v - 5 - 1 - v + 1 + (-5*v + 0*v + 3*v)*(0 + 0 - 7) - v - 2*v + 0*v in the form z + w*v and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1501, 3125, 4963, 7123, 9713?\n\"Answer: 18*d**3 - d**2 + 1501*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 - 62. Let c(k) = -13*k - 8. Let q be c(-1). Suppose 0*w + q*w = u. What is the smallest common multiple of 4 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 3*z + 1. Let r be a(-2). Let d = -117 - -399. Is d\/r*1\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*-4*(sqrt(567) + (sqrt(567)*-1)**2 + 1 + 2) + -5.\nAnswer: 864*sqrt(7) + 54715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/48 and -25\/1430016?\nAnswer: 1430016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 3*g + 3. Suppose 0 = 4*p + 4*x - 6*x + 50, 0 = -5*p + 4*x - 70. Let k be p*1*3\/6. Calculate a(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 30*z - 98*z + 7 + 37*z + 36*z. Let k(x) = -3*x**2. Give k(d(n)).\nAnswer: -75*n**2 - 210*n - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5473*m + 87543. Calculate i(16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.215 - 2.215. Which is the nearest to 1? (a) 7 (b) u (c) -65 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (1*-8)\/2. Suppose -s = -2*v + 403, 3*s = 4*v - s - 796. Let z = 207 - v. Solve z*u = w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 10*m**2 + 9*m + 8. Determine h(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -1093584?\nAnswer: -1093583.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i - 57*i + 26 = -2*f, -2*f + 0*f - 130 - 4 = -32*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*l**5 - 2*l**4 + 37*l**3 - 17*l**2 - 3*l + 2.\nAnswer: -3300*l**2 - 48*l + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.92 - 2.62. Sort -0.01, l, -1 in descending order.\nAnswer: l, -0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by ((264\/(-9))\/2)\/((-172)\/258).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - (-6 + 69)) + 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63885692*-0.1.\nAnswer: 6388569.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 0)*(-j + 2*j - 2*j)*(6 - 1 - 4).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/60 + 4*n**2. Let g(i) be the third derivative of -i**5\/20 + i**2. What is g(f(t))?\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -981 + 996. Solve 12*v - 45 = s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/30 - 23*m**3\/2 + 20*m**2. Let s be b(0). What is s rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6600998168803 - -6601005926646.099919. Let y = -7757883.1 + r. Let l = y - -40. What is l rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**2 + 4*q + 6. Suppose 0 = 13*h - 22*h + 45. Let n(v) = 6*v**2 - 3*v - 5. What is h*k(s) + 6*n(s)?\nAnswer: 6*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*i - 3 - 8 = 0, -5*z = -3*i - 1. Let t be 0\/z*-1 - (-4 - -4). Factor t - 4*k - 596*k**2 - 2 + 594*k**2.\nAnswer: -2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314 and 539831626?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 9) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdk when three letters picked without replacement from {k: 2, d: 7, f: 4}.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 330 + -169. Suppose 158*s = h*s - 12. Suppose s*f + q - 17 = 0, -3*q = 2*f - 3*f + 14. Solve -4*y - 5 = -f*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -11. Let u be 1\/2 - (-18)\/(-4). Suppose 0 = -4*r + 16 - 8. Put y, u, r in descending order.\nAnswer: r, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 13*v - 9. What is r(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + 2*sqrt(45)).\nAnswer: -12*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 12*d - 16*d. Suppose o + j - 15 = 0, -4*o + 58 = d*j - 3*j. Calculate the remainder when 39 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1603*t**3 + 5*t**2 - 10*t + 2334. Let r(z) = 801*z**3 - 2*z**2 + 4*z - 1168. Let l(y) = 2*p(y) + 5*r(y). Differentiate l(b) with respect to b.\nAnswer: 2397*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adoddvvdvag. Give prob of sequence dva.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311508 is divided by 4330.\nAnswer: 4078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -70906\/5 > -14180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - -4 - 0 - -35. Suppose 3*y - m + 9 = 0. What is the highest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgrp when four letters picked without replacement from gtpctceccttr.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16308\/5 + -3250. Calculate the common denominator of i and 9\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v - 2 + 6 + 1 + 0 - 3. Give a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u**4 - 11*u - 2*u**2 - 12*u + 1 + 21*u to h*u**4 + d + i*u + l*u**3 + y*u**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 3. Let y be h(11). Suppose 5*o = -10 + y. Find u such that 9*u**3 + 89 - o*u**3 - 68 - 341 - 85*u**2 + 400*u = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -5 (c) 2\/3 (d) 0.3 (e) 230\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 7*x - 20. Let w = 24 - -36. Let c(d) = 29 + 3*d + 36 - d - w. What is c(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, t: 4, f: 1, i: 2}. What is prob of picking 1 t and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*g - 269*g - 185*g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 336924 divided by 24066\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 89655*g - 179277. Give j(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 1145*i - 93010. Give f(-88).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8214567nm?\nAnswer: 0.0008214567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.6259 and -953.\nAnswer: -12032.4827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -87131316 + 623319536. Suppose -p = -27*n + 10482356. What is n rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -224. Let s = t + -220.143. Round s to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 2:54 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9533, -9535, -9537?\n\"Answer: -2*f - 9531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -1915, -5333, -10241, -16639, -24527, -33905?\nAnswer: -44773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*t**2*w**2 + 23321*t**2*w - 632*t**2 - 2080*t - w with respect to w.\nAnswer: -100*t**2*w + 23321*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2185 and 4140.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + a = 6*a + 118247, 5*a = -r + 29518. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 3. Let i(w) = 3*w - 4. Let o(m) = 3*i(m) - 4*t(m). Let k(q) = -24*q**2. Give k(o(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 2*d**2 - 1. Suppose 3*x + 70 - 7 = 0. Let o = 19 + x. Give w(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1883*t**3 + 938*t**3 + 940*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2430.955 and -0.12.\nAnswer: 2430.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 4. Let k = i - -4. Which is the nearest to -1\/4? (a) k (b) -3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*o + 215 - 29 = 0. What is the nearest to -7 in -5, -1\/127, 4\/3, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7118 is divided by 340.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -0*u - 126. Calculate the greatest common divisor of u and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*y - 303*y + 14*y + 1444 = 0. Solve 0 = y*j - 3*j - 4*m - 25, -3*m = 2*j + 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -200581632.\nAnswer: 601744896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5466*h**2 - h + 1. Let f be d(1). Let u be (4 + -2)\/(12\/f). Is 1 + 3 - (-4 + u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 12, 31, 50, 69, 88?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-3 - -2) + 1. Let d(b) = 4 + 19*b - 9*b - y - 11*b. Give d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7051 * -1720.\nAnswer: 12127720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1827 = 157*i - 70*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 5, -1\/3, 0.5, -0.4, -6.57?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17816 divided by 17.\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 24 + 48. Let z be q\/(5\/(-5)*1\/6). Put 1, z, -2 in ascending order.\nAnswer: -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2 - 156772*c + 24977310 = 0.\nAnswer: -78545, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 26910 to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-54)\/(-24))\/((-1)\/(-24)). Let d be 150\/m + (-4)\/(-18). Let z(s) = 1 + d + 5 + s - 2. Give z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*t + 5499 + 29833 = -680*t for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.869 rounded to zero dps?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15954291*p + 2086123 wrt p?\nAnswer: -15954291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 - 5 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3845283274?\nAnswer: 2, 7, 13789, 19919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 8*z + 5. Let w be y(-5). Let v = w - -14. What is the second derivative of l - 2*l**2 + 2*l**2 - v*l - l**4 wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6565 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -95*k**4 - 7*k**2 - 129. Let h(l) = -47*l**4 - 3*l**2 - 64. Let f(x) = -7*h(x) + 3*q(x). Find the first derivative of f(m) wrt m.\nAnswer: 176*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172 + 177. What is the closest to d in -4\/7, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1*(-63)\/6*12\/(-28). Solve 5*j - 3*q + 5*q = b, -10 = -5*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 + 29 = -106*s - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -20.8. What is the closest to 0.2 in t, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -48*p + 44*p + 5 - 4*p**3 - 2*p**2 + p**3. Let r be z(1). Let h(b) = 19*b**2 + 5*b + 9. Is h(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (-38 + 5)) + -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, 5, 53\/3, 4, 8 in ascending order.\nAnswer: 0.2, 3, 4, 5, 8, 53\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 9\/((-225)\/(-10)) - ((-9684)\/15 - -2)?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -4. Suppose -25 = -g - h*g. Suppose -32 - 68 = -g*f. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1861*j**4 + 6866.\nAnswer: 7444*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -197 = 572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 663433\/126 + (-6)\/21. Let i = -5260 + y. Calculate the common denominator of i and -59\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -13 - (-5 + 4). Let d be (-2)\/(2\/(-6)*2). Suppose 0 = -s + d*s - 12. What is the highest common divisor of v and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 89 = 48*x - 65 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 25\/2*l**2 - 20 + 37*l - 1\/3*l**3. What is the units digit of k(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0109812 centimeters in micrometers?\nAnswer: 109.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggu when three letters picked without replacement from ksgue.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 + 193 = -4*w. Suppose -135 = -w*r + 26*r. Solve -1 - r = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 2, p: 14, d: 1}. Give prob of picking 2 n.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(68) + 1 + 0)**2 - (2 + sqrt(68) + -1 - sqrt(68))).\nAnswer: 4*sqrt(17) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744*p - 367*p = 333*p - 2860 for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3684 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21400.72 - -21400. Which is the nearest to -2? (a) 4 (b) -3.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190311 (base 15) to base 2.\nAnswer: -100101000110011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -5043?\nAnswer: 11\/5043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Suppose 0 = q + x*q - 30. Suppose u = -u + q. Is 5 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 7*v**2 - 12*v - 4. Let g be x(-5). Solve h - g*h = 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/3))**(-2\/71)\/((p**(3\/5)*p)\/(p**(-1\/21)\/p)) assuming p is positive.\nAnswer: p**(-6486\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Let r = 11 - 11. Suppose r = n + p*n. Solve t + t - 10 = n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 17 = 2*n. Let w be (-3)\/(-12) + 1\/(-4). Suppose v + w*d + 2*d - 3 = 0, -3*d = -2*v + n. Solve v*x + 1 = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226516 by -6.\nAnswer: 113258\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -38415 (base 10) to base 16\nAnswer: -960f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.9892479 rounded to two dps?\nAnswer: -28.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + 4607. Let s(u) = u. Determine f(s(a)).\nAnswer: -4*a + 4607","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*h = 1989 + 12207. What is the smallest common multiple of h and 14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 135, 343, 645, 1047, 1555, 2175, 2913?\n\"Answer: s**3 + 38*s**2 - s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39366*p*t + 256*p + 45 wrt t?\nAnswer: 39366*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*x + 2 - 136*x - 82*x)*(2 + 1 - 4 + 2 - 4 + 3 + (-5 + 4 + 2)*(0 - 2 + 0) - 3 - 4 + 5).\nAnswer: 660*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -16*i + 128. Let n be b(8). Let w = -44 - -51. Suppose 0 = w*r + 31 - 3. What is the closest to -0.02 in -2, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33111 to the nearest 100.\nAnswer: 33100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*s = 441*s - 1862 - 5860 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 3\/2963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -3*x + 15, 4*w + 3*x = -4*x - 25 - 50 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 12 (b) -2\/15 (c) -0.151 (d) -0.1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -42*x**3 - x - 1. Let u be a(-1). Suppose 0*p - u = p. List the prime factors of (p\/(-3))\/2 - -3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13992 and 660.\nAnswer: 69960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -4 + (-40)\/(-4). Determine a so that -2*a**2 - 3 - 4*a + a + j*a**2 - a**3 + 4*a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56657 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 179 + (-167 - -83)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100410 (base 6) in base 7?\nAnswer: -32052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/8 - (-12)\/(-16). What is the units digit of ((-14)\/(-10))\/(h\/(-45))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**3 - 2*g**2 - 7*g - 15. What is v(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 4. Let y(o) = 8*o - 11. Let j(p) = 11*q(p) - 4*y(p). Let v(l) = -20*l. What is j(v(r))?\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 - 74. Let v be ((-6)\/4 + 0)\/(52\/(-728)). Suppose -1860 = 9*b - v*b. Calculate the highest common factor of s and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 3\/(-3) - 1*-4. Which is the closest to q? (a) -4 (b) -2\/9 (c) -5\/4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123432 and 4?\nAnswer: 123432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g + 5*n - 49, -4*g - 39 = -3*n. Suppose 0 = l - v - 5, -9*l + 31 = -4*l + v. Calculate the remainder when 16\/g*-6 + 3 - 1 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + (17 + -10 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, 1221, 1964, 2777, 3684, 4709, 5876, 7209?\nAnswer: 8732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*t + r = -124*t + 7*r - 22, 136*t - 5*r = 138*t - 33 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/7809947?\nAnswer: -2\/7809947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6060564 or 30302816\/5?\nAnswer: 6060564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5255, 5251, 5247, 5243, 5239, 5235?\n\"Answer: -4*h + 5259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjew when four letters picked without replacement from {e: 13, j: 3, w: 3}.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*s**2 - 163*s**2 - 2 + 74*s**2 - 906*s.\nAnswer: -2*s**2 - 906*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3, -7 in ascending order.\nAnswer: -7, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:13 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1339698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2514*w = -36476 - 8776 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 6*w + 15. Let l = -49 - -48. Let z = l + 0.8. Put z, w, -2.5, -4 in descending order.\nAnswer: w, z, -2.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51963995.\nAnswer: 5, 43, 101, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 1139322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + 24 + -22 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**3 + 229*z**2 + 953*z - 4893 = 0.\nAnswer: -7, 3, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3851 - -3834.01. Let j = -17 - f. Which is the biggest value? (a) -0.2 (b) -1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9 + 2 + w + 3 - 14. Let h(y) be the second derivative of 2*y**3\/3 + y. What is h(g(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 325 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 36*a - 41*a = -185, 0 = i - 316*a + 12635 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68311.329728 + -68300.9. Let f = -10.49872879 + x. Let a = f + 0.069. Round a to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**5\/4 + 1125*l**4\/2 + 4465*l**3\/4 - 1685*l**2 - 2235*l + 2240 = 0.\nAnswer: -448, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + 2*w - 8*w - 3*w + 7*w - 3*w + 0*w + 3*w - 2*w + (0*w + 0*w + 2*w)*(-1 + 4 - 5) - 2*w + w + 0*w)*(-5 + 4 - 16).\nAnswer: 323*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 9\/416?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*a - 11, -4*t + 4 = 3*a + 2. What is the third smallest value in t, 0.3, -25, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06057453 to four decimal places.\nAnswer: 0.0606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y - 496 = -272*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*o - 19, -6*j + 4*o = -j. Solve 0 = -4*s - j - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*n + 216*n + 582 + 1199 = 0 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17789 - -27730. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12568 or -1\/3?\nAnswer: 12568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -1, 5 in decreasing order.\nAnswer: 5, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/(q*q**(-18)))*q)\/q)\/q)**(-4\/37))**(3\/10) assuming q is positive.\nAnswer: q**(108\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135542672.\nAnswer: 2, 937, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyjqjyyqqqyhyyvyzqy.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(v - 1 + 1) + 0 - 2 + 3 - 5*v to h*v + n and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4*n - 32 = 0, t - 5*n + 27 = 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 30*v + 33. Let y(b) = -7*b - 8. Let h(j) = 5*n(j) + 21*y(j). Give h(-8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/24 + o**3\/2 - 15*o**2\/2 + 3*o. Let x(a) be the first derivative of f(a). Calculate x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 divided by 12203?\nAnswer: 856\/12203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 3:17 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**3\/6 - 5*x**2. Suppose 2*w - w + 6 = 0. Let k(z) = -65*z**2 + 3 + 67*z**2 - 9 - z. Determine w*b(d) + k(d).\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2169674 to three decimal places.\nAnswer: -0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - h + 244 = 0, -c = -0*c + 2*h + 256. Let m = c + 371. Calculate the remainder when m is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 - 2982*v + 1461*v + 2*v**3 + 1518*v - 2*v**2 to x*v**3 + n*v + k*v**2 + u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17324 minus -9?\nAnswer: -17315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 15. Suppose 252 = 19*u + o*u. Calculate the least common multiple of u and 324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17290776 by -5763592.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((x**(2\/9)\/x)\/x)\/x*x)\/(x*x**1\/x))**(-1\/63))**36)**47 assuming x is positive.\nAnswer: x**(4700\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 2. Let m = 124 - 89. Suppose -f - 4*f + m = 0. List the prime factors of u(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11*l - 5. Suppose 84 = 33*p - 12*p. Let a(u) = 11*u - 6. Give p*i(s) - 3*a(s).\nAnswer: 11*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*a - 27 + 1, k = -2*a + 8. Suppose 43 - 43 - k*x**2 = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31108399, 62216795, 93325191, 124433587, 155541983, 186650379?\n\"Answer: 31108396*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6866, 6868, 6868, 6866, 6862, 6856?\nAnswer: 6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 145*t - 143*t + 7, 5*a + 3*t = -28 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3480 - -3728. Solve 0 = -11*z - 171 + c for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c = 5*q - 41, 25 = -3*c - 2*q. Let g(j) = 29*j + 25. Let r(o) = -4*o - 3. Let w(p) = 3*g(p) + 21*r(p). Calculate w(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, x: 12}. Give prob of sequence ixix.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -35 (b) 0 (c) 0.5 (d) -0.2 (e) 2\/611 (f) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5946769 is divided by 691.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 5*l**2 - 7*l - 3.\nAnswer: -(l + 1)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 plus -4382060311?\nAnswer: -4382060307.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 1 - 1)*(0*z + 3*z + 0*z) - 265 + 265 + 3*z + z**3 - z**2.\nAnswer: -8*z**3 - z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {m: 1, k: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**4 + 11655*h**3 - 196690*h**2 = 0.\nAnswer: 0, 17, 2314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 32*b - 6*b - 8*b - 17*b. Let r(a) = -7*a - 5. Calculate r(h(x)).\nAnswer: -7*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 152*n + 16. Let i(v) = v**2 + 2*v - 3. What is -c(w) - 5*i(w)?\nAnswer: -3*w**2 + 142*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6843 - -8004. What is the greatest common divisor of 147 and r?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h + 0*h)*(-6*h + 0*h + 2*h)*(-4 - 8 - 4) + (h**2 - 3*h**2 + h**2)*(-1 + 1 - 2) + 0*h**2 - 4*h**2 + 6*h**2.\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 31\/1205 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1523 - -1527. Solve 0 = -2*z - 10 + y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 14*y - 6*y + 4*y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**3 + 3*t**2\/2 - 37. Determine c, given that r(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1600*g**4 + 1602*g**3 + 6329830*g**2.\nAnswer: 38400*g + 9612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:07 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10450822 a multiple of 1135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from kkfaakkfk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trtttxftftrnxfrex. What is prob of picking 1 r and 1 t?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*t - 89*t - 91*t + 6602 + 3258 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 21. Let s = -99 + 101. Is (8\/w)\/(s\/993) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -742660 divided by 2615\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:25 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1031259806.14 + 2435819.86. Let w = -1033695045.000497 + l. Let y = 581 - w. Round y to 5 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1272813 divided by 424271.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 8:17 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.052 in -1\/6, -7, -0.6, 3, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8090.693 nanometers in meters?\nAnswer: 0.000008090693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + 4*sqrt(76))**2 + (2*sqrt(95)*-3)\/(sqrt(5) + (sqrt(15) - (sqrt(15) + sqrt(540)))\/sqrt(3)).\nAnswer: -394*sqrt(19)\/5 + 1240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 39*y + 14*y.\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t. Let k(y) = -95744058*y. Determine s(k(q)).\nAnswer: 191488116*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -343, -510, -669, -820, -963?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Let w be 2 + 1 + 3\/3. Let m = w - 4. Sort p, -3, m in decreasing order.\nAnswer: p, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 3:52 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9372 - 4828. Calculate the highest common divisor of t and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/2*18\/12. Let w = -10 - z. Solve w = -0*o + 4*o - n, -2*o + 4*n = -2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1643)*14353\/463?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 246?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 + -10)*94\/(-6). Let v = a + -43. Suppose 0 = -0*o + v*o - 128. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -31\/21 (c) -0.2 (d) 56 (e) -0.91 (f) 1\/3 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 127, -3\/5, -11, 4, 2\/5 in descending order.\nAnswer: 127, 36, 4, 2\/5, -3\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124 + 1664026?\nAnswer: 1664152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, and 1 i when three letters picked without replacement from uuipjiyiijujii?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*n**4 - 1 + 2*n + n**3 - 28*n**4 + 45*n**4 as o*n**2 + h*n + m*n**3 + a*n**4 + x and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.588 + 3.688. Sort u, 1\/4, -17, -4 in descending order.\nAnswer: 1\/4, u, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*r - 5. Calculate the lowest common multiple of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003825896 to seven dps.\nAnswer: 0.0000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 205576777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 3*r + r)*(4 - 3 + 0) - 53*r + 12*r - 55*r - 2*r + 0*r + 4*r.\nAnswer: -95*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 370*t**2 - 8960*t + 70560.\nAnswer: -5*(t - 28)**2*(t - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 6*a - 4 = 0, 5*t = a - 46. Let m be t\/20*4*(-2 + 1). Let x(o) = -39*o**m + 42*o**2 + 0*o + 0*o. Let n(v) = -25*v**2. Determine n(x(p)).\nAnswer: -225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -65. Let f be ((-16)\/6)\/(h\/9 + -2). Suppose f*u - 680 = -5*w, -3*w + 2*u = 4*u - 410. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 4. Determine i(12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69889 = -30*q + 91508 - 38457. List the prime factors of q.\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46092 or -46102?\nAnswer: -46102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109656 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/20 and 137\/1110.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2133480241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -914 or -11883\/13?\nAnswer: -11883\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13307749667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1146 + -1145.999271. Round k to 5 decimal places.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10 + 7*u - 2*u**2 - 11 - 5. Suppose 2*w - 2 = -n - 7, 0 = -w - 3*n - 10. Let o(h) = -h**2 + h. Let f(k) = w*g(k) + o(k). Give f(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191754069 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9957 + -9460. Calculate the highest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 99. Let q be 1\/(s\/6) + (-24)\/(-14). Solve -q*c + 7 = -3*f, 0 = f + 3*c + 2*c + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**2\/2 - n - 3. Suppose -5*z - 2*f + f = 0, -z - 3*f = 0. Let r be z - (-8)\/(-2) - -2. Determine l(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2165*s - 14. Let i(d) = -4329*d + 35. What is 5*c(b) + 2*i(b)?\nAnswer: 2167*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.3 + 0.3. Let j = -8 - s. Which is the second biggest value? (a) -2 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 7*x**2 - 3*x - 6. Let s be p(-6). Let d = 111 + -72. Suppose 5*t + j = s, -4*t + d = -j - 3. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -5*z - 5*q, 36*z + 36 + 22 = 83*z + q - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u*(u*u*u\/u**(-19)*u)\/u)*u*u*u)\/u)\/u**(19\/3))\/(u\/(u*u**(-7))*u**4) assuming u is positive.\nAnswer: u**(-109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11529 greater than 11528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1436*a**3 + 2*a**2 + 11*a + 9. List the prime factors of h(-1).\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 8, 69, -3\/2, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 161\/(-21))\/(20\/1110). Which is smaller: m or -3522\/5?\nAnswer: -3522\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, o: 5, t: 3}. Give prob of picking 3 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*(-6)\/36*-20?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 15*w + 3. Let j be k(15). Suppose j = -o - 4*a + 1, 0 = -5*o - a - 10. Calculate the remainder when 25 is divided by 6\/4 - 23\/o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(95)*-1 + sqrt(95))*6)\/(6*(sqrt(5) - -1*sqrt(5)) - ((sqrt(245) + (-2*sqrt(245) - sqrt(245) - sqrt(245)) - sqrt(245)) + sqrt(245))).\nAnswer: 4*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g - 84*g + 459 = 40*g. Let w = -1 + 1. Suppose -g*d = -w*d. Solve d*x = -5*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 - 2124?\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 172*p + 13. Let r be b(0). Solve -r*x - 4*w - 4 = -18*x, 0 = -5*x + 5*w + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -76327 less than -76327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x. Let b(j) = -137 - 70 + 206 - 70*j. Give b(a(w)).\nAnswer: 210*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442.57512 rounded to one dp?\nAnswer: 2442.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -2. Let p be (-20)\/50 + (-51)\/(-15). Calculate the greatest common divisor of p and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-951)\/1585)\/(6\/(-230))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10959, 21944, 32929, 43914?\n\"Answer: 10985*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*3 - (-20 - -17). Let i be v + 3 + -1 + 1. Suppose 0 = r + 2*c - 174 + 38, -i*r - c + 403 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 7 = 9, -5*h + 5*m + 200 = 0. Let u(b) = -h*b + 7*b + 9 - 9 - 38*b. Let t(j) = -2*j. Calculate u(t(q)).\nAnswer: 134*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 395. Let c = j - 361. Let t = 27 + 16. What is the remainder when t is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 20. Suppose -4*s + s = j, -19 = 4*s - q*j. Let w = s - -1. Let d(t) = -t + 11. Give d(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 3, -58, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + (sqrt(700) + 2)*-5 + sqrt(700) + 1*sqrt(700)*5)**2.\nAnswer: -240*sqrt(7) + 1472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2914426923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 2.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 times -104.2106?\nAnswer: -48.978982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 16*y**3 - 3*y**2 + 25*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6908227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*d**2 - 12*d**2 + 3*d**4)*(92*d + 2239 - 2239 + d + 0 + 0 + (0 + 2 + 0)*(d + 2*d - 4*d) - 2*d + 1 - 1).\nAnswer: 267*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 2. Let s(m) = -m + 1. Give o(q) - 2*s(q).\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 10*r - r. Suppose 30 = -3*v - 0. Let c = r + v. What is the remainder when 31 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + 2.98. Let c = 3.024 - y. Round c to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p. Let v(x) = -29*x**2. Give v(w(s)).\nAnswer: -261*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41971280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 258267.\nAnswer: 180786.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 153594 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 24*j**2 + 2510566*j - 2510568*j + 29.\nAnswer: 24*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 18368?\nAnswer: 91840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10022211202 (base 3) to base 2\nAnswer: -1111111111010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c - 6*c + 22*c - 7*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 2. Let z be s(4). Let h = z + -3. Let t = 2\/15 + -4\/5. Which is smaller: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 41 + 19. Let n = 76 + p. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 67. Calculate the remainder when x is divided by 2\/5 - -132*18\/135.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4323990 divided by 393090.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -2*o - 5*p, -2*p + 66 = -0*o + 2*o. Differentiate -90*a - 105*a - 63*a + o*a + 28 + 50*a wrt a.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10737\/7 + -1529. Find the common denominator of b and 13\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 7) + -5 + 20 + -1. Solve q*y = 14*y + 40 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -21. Let w = 1 + -3. Let a be 0*(4 + w + -1). Solve a = q + 4*q - h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26899 or 26910?\nAnswer: 26910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**5\/30 - 5*n**2. Let i(m) = m. Determine x(i(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8951 (base 12) to base 5\nAnswer: 441211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6992*f**4 + 2*f**3 + 556*f - 21843121?\nAnswer: 27968*f**3 + 6*f**2 + 556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3168 and 509664.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 735 - 1?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d2cd + -6e?\nAnswer: 4d25e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11428, 31137, 63986, 109975?\nAnswer: 169104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -757911*t. Let x(q) = -q**2 - 20. Calculate l(x(m)).\nAnswer: 757911*m**2 + 15158220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343239211.\nAnswer: 7, 73, 671701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.6 and 607.73062.\nAnswer: 611.33062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20219629421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, r: 1, b: 5, i: 1, s: 6, h: 1}. What is prob of picking 2 g and 1 r?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-35))\/(((-21)\/3)\/(-35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1372 + 8255\/6. What is the common denominator of -71\/44 and j?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 74, 96, 120, 146, 174?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -29, -75, -159, -293, -489, -759, -1115?\n\"Answer: -2*b**3 - b**2 - 3*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + (33 + -45 - -9) + 35.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1074*m + 1075*m = 115, -2*u + 2*m = -46. Solve -u*y - 260 = 42*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/9)\/((-4)\/(-12)). Solve -1 = -n*x + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**2 + 5*h**2 + h**5 + (4 - 3*h**4 - 4)*(-h - 4 + 4 - 1).\nAnswer: 4*h**5 + 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 + 0*d**3 + 4*d**3 + 100*d**3.\nAnswer: 97*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 81*y**5 + 27*y**2 - 160*y**4 + 23*y**2 + 47*y**5 + 2 - 40*y**3 + 20*y = 0. What is y?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12772654.6 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -623.6 - -624. Let d = -7.7 - -8. What is the closest to -1 in m, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 28, 53, 100, 175?\n\"Answer: o**3 + 2*o**2 - 4*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)*(-1298 - -1). Let l = a - 7757\/6. Calculate the common denominator of (-6)\/10 - (-3)\/(-70) and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose 0 = d*q - n + 8, -3*q + n + 10 = 5*n. What is the units digit of q\/6 - (-38)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hahe when four letters picked without replacement from ehhashhaeesaessehsah.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**3*t**4 + r**3*t**3 - 14*r**3*t**2 + 3*r**3*t + 186*r**2*t**3 wrt t?\nAnswer: 48*r**3*t + 6*r**3 + 1116*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 38. Suppose r = 30*x - 41*x - 110. Which is the second biggest value? (a) 4 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (63\/(-18) - -2)\/(3\/(-14)). Solve 10*w = -7*w + l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n + 3*n - 4*n - 59*n**3 + 55*n**3 - 9*n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9471?\nAnswer: 3, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 12*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**4\/48 - 13*b**3 + 3042*b**2 - 2*b - 59. Let c(n) = 0. Calculate n.\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30583\/10 + 3051. What is the common denominator of -58\/25 and g?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1723*m = -1724*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 830.99132 - 831. Round v to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14c (base 14) to base 15.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1181856 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y + 10 = -26*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 - 11)*(-2*f + 3*f - 2*f).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*f**2*g**3 + 2*f**2*g**2 + 2*f*g**2 + 590*g**3 with respect to f.\nAnswer: 50*f*g**3 + 4*f*g**2 + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r**2 - r + 2. Let a be y(-2). Let b = 11 + a. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 8*z**2 + 2*z - 2. List the prime factors of d(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1486949*m**5 + 3506917*m?\nAnswer: 29738980*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 22, -4\/7 in decreasing order.\nAnswer: 22, -4\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*(-3)\/(-6)*(-1032)\/(-860).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15585793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 42. Let s be i\/(3 - (3 + 2)). Solve 14 = -2*p + 2*q, -3*q = 2*p - 1 - s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/45696 and -25\/42177?\nAnswer: 37790592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4143 is divided by 824?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543 = -79*g + 2044. Solve -g*t + 21 = -12*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50555341 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -456, -1005, -1544, -2067, -2568, -3041, -3480, -3879?\n\"Answer: w**3 - w**2 - 553*w + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 150, 181, 226, 279, 334?\n\"Answer: -v**3 + 13*v**2 - v + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 22*w**2 - 15*w - 2. Calculate l(2).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 4*j**2 + 4*j**2 - 31*j**2 to c + w*j + p*j**2 and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 - ((-4)\/(-26) + 5508\/702) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from nxppttkoxtp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2219845716?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6896958 - 3?\nAnswer: 6896955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285 - -11.124.\nAnswer: -273.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3657*s**2 + 139*s**2 + 1254*s**2.\nAnswer: 5050*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9360 divided by 2340?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**3\/3 - 7*s**2\/2 + 25*s + 11. What are the prime factors of c(10)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*c**2 - 9 + 9 + (-51 - 9*c + 51)*(4*c + c + 0*c) in the form y + h*c**2 + o*c and give h.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*k**3 - 50258*k + 21597423 wrt k.\nAnswer: -36*k**2 - 50258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/((-1248)\/256).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1.8, 26\/5, 0.2, -3 in increasing order.\nAnswer: -19, -3, -1.8, 0.2, 26\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*s**5 - 10*s**5 + 25*s**5.\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**3 + 580*p**2 - 510740*p - 1023760 = 0.\nAnswer: -382, -2, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 6 = 10*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c**5 - 2*c**4 - 3*c**2 - 2*c. Let i(h) = -16*h**5 - 5*h**4 - 5*h**2 - 5*h. Let f(n) = -5*a(n) + 2*i(n). Find the third derivative of f(m) wrt m.\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 163760 and 679159?\nAnswer: 1249652560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 220 - 27 = 15*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*f, c - 298 = 4*f - 48. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16159 - -16160.9. What is the nearest to 0.05 in -3, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -0.169?\nAnswer: 0.00338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (11\/11)\/(5\/(-35))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 602367549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26180161.\nAnswer: 7, 127, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -71787 times -2.1\nAnswer: 150752.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67 - (-26 - 20)) + -1 + 39.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 585 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*0*3\/(-15). Suppose u = r + 40 - 48. Is 308\/(-35) + r - 5669\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**5\/5 - m**3\/3 + 197*m + 18. Differentiate l(z) wrt z.\nAnswer: 4*z**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150604 and 12?\nAnswer: 451812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-538)\/8)\/(5\/20). Let l be (-18)\/63 + i\/63 - -3. Let o = 17\/18 - l. Which is the second biggest value? (a) o (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*r**5 - 58*r**4 + 124*r**3 - 84*r**2 - 2*r + 14 = 0. Calculate r.\nAnswer: -1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -751031, 11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1958\/(-264) - (-5)\/(-6))\/(1\/(-4)). Solve s*w - 37*w - 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8851.666 nanograms to grams.\nAnswer: 0.000008851666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 4*k + 2*k)*(7 - 11 + 45) - 3*k + 8*k - 3*k - k - 2*k + k + (0 - k + 0)*(1 - 4 + 4) + k - 3*k + k.\nAnswer: 80*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) -11 (b) 5 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1978518*a + 3616715.\nAnswer: -1978518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 + 167. Let z(u) = -7*u**3 + 18*u**2 + 7*u - 20. Let o(v) = -15*v**3 + 37*v**2 + 15*v - 41. Let q = -2 + 15. Let x(n) = q*z(n) - 6*o(n). Give x(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q - 4*i = -28, 2*q = -3*i + 17. Solve 5*l = q*t - 9, -2*l = -5*l - 5*t + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2. Let n(a) = -3*a**2 + 6. Calculate y(n(h)).\nAnswer: -45*h**4 + 180*h**2 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1274 (base 13) to base 4\nAnswer: 221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 2 + 3 - 4*p)*(1 - 8 + 2)*(3*p - 4*p + 2*p) to c*p + m*p**2 + t and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 2*t**2 - t**2 + 11 - 67 + 10.\nAnswer: -3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 19*j**2 + 14*j + 97. What is q(-9)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*r - 45 = 9, 2*a + 4*r = -56. Let i = a - -47. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 + -2bb?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1205957077*n**3 + 1289174382 wrt n.\nAnswer: 3617871231*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 263 + -55. Suppose -4*i - 83 = -3*z + 38, -4*z - 4*i = -t. Suppose 0 = 5*q + 3*r - r - z, 3 = 3*r. What is the smallest common multiple of 12 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79721238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2851263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -18*(1\/(-2) + 0). Suppose -2*k - 8 = -t + 8, -t - k = -4. Suppose 0 = -t*n + 39 + j. Solve -z - 2*z - n = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 248477, 0, -2, 3\/7 in decreasing order.\nAnswer: 248477, 3\/7, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*a - 691 = -155 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/2)\/((w\/(w**(1\/7)*w))\/w*w)*w**(-5)\/w*w*w*w**(-2\/9))**(2\/59) assuming w is positive.\nAnswer: w**(-199\/3717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + 10 + -7 - (5 + -18 + 34).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*d - 148*d + 72*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*(sqrt(17) + -3) - (-5*sqrt(204) - sqrt(204) - sqrt(204))\/sqrt(12) - -2*(sqrt(102)*-4*-5)\/sqrt(6)).\nAnswer: 11 + 43*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 plus 5.12865?\nAnswer: -26.87135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1933439\/9657 - -7402\/37. What is the common denominator of -67\/261 and f?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 623069 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -42 - 13 + 87263*p**2 - 31 + 35*p - 87264*p**2. Determine a(32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -217*q + 31. Let s(d) = 73*d - 11. Calculate 3*c(n) + 8*s(n).\nAnswer: -67*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 4*a = 5*q - 785 + 537, 5*q - 379 = 7*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(72)\/(sqrt(800) + (-4*sqrt(800) - sqrt(800)) - sqrt(800)))\/(4*4*sqrt(3)*-1))**2.\nAnswer: 3\/25600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185*n**3 - 264*n**2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 5, -3\/2, 0 in decreasing order.\nAnswer: 5, 0, -4\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1599471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 592, -3 in descending order.\nAnswer: 592, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -60*p**3 - 21*p. Let m(z) = -6*z**3 - 2*z. Give 2*g(q) - 21*m(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqc. What is prob of sequence ccq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -6 - -2 - 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 54, 87 in ascending order.\nAnswer: 5, 54, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y - y - 4 + 4*y + 4 + (-2*y - y + 2*y)*(1 + 1 - 3) + y + 3*y - 3*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1882287*p**3 - 1881639*p**3 + 3763927*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-2 + -3) + 1. Let r = -20 + 22. List the prime factors of (5 + y)\/(r\/42).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q - 3. Let p(n) = 6*n + 4. Give 5*h(r) + 4*p(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (29\/(-3))\/((-1)\/(-3)). Let p(n) = n**2 - 9*n - 27. Let v be p(9). Let h = v - d. Solve -x + 11 - h = 2*c, -22 = -5*c - 3*x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239421 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3277, 3269, 3259, 3247, 3233, 3217?\n\"Answer: -a**2 - 5*a + 3283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*b + 10919 = -11884 - 3037. Let k(r) = -2*r**3 - 4*r**2 + 3*r. Let c be k(2). Let m = c - -78. What is the remainder when b is divided by m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-3 - (-20)\/5. Is -3833*((-3)\/6 + n\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 28*o**3 - o - 1. Let c be x(-1). Let g be (c\/(-12) + -3)*(-3)\/1. Solve g*a + q - 1 = 0, -a = -0*a - 4*q + 22 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1075 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -324 - -631. Round y to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415484, -830968, -1246452, -1661936?\nAnswer: -2077420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x + 0*x**2 - 2*x**3 - 2*x**2 + 6*x**2 + 4*x**2. Let w(p) = -p**2 + p. Give 8*w(h) + y(h).\nAnswer: -2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 2*m + m + (-3 + 1 + 0)*(0 - m + 0) + 3*m + 3*m - 5*m - m + 2*m - 2*m + 7*m - m - 3*m + 5*m - 2*m - m + (3*m - 2*m - 3*m)*(-1 - 4 + 3) - 6 + m + 6.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 10:56 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-110)\/(-27) + -4 + (-1496)\/30888. Let n(d) be the second derivative of 1\/78*d**4 - o*d**3 - 6\/13*d**2 + 0 + 20*d. What is c in n(c) = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 9 + 3)*(76*a - 68*a + 291*a) + a - 6*a + 2*a + 0*a + 0*a + 2*a + (-2*a - 2 + 2)*(3 - 5 + 1) + 3*a + a - 3*a to s*a + h and give s.\nAnswer: 2992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 - 26)*(v + 3*v - v)*(-49*v + 47*v - 24*v) as j + d*v + u*v**2 and give u.\nAnswer: 2028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 9*i - 10. Let x be r(-9). Let q(h) = -h**3 - 9*h**2 + 10*h + 4. Let t be q(x). Is 9 a factor of (-9)\/t*(-1456)\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 3. Let o be z(8). Let f = 4 + o. Let c be (-12)\/f*3\/12. Put 4\/7, c, -2 in decreasing order.\nAnswer: 4\/7, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 3*v - 39 = 0. What is k in 3*k + 3\/4*k**2 + v = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -807\/4 + 203. Let v(q) = q - 1. Let n be v(0). Let p be 114\/432*-3 - 28\/(-42). What is the third biggest value in n, p, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.3, -35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -160*u**3 + 12*u**2 + 111*u. Let p(g) = -319*g**3 + 26*g**2 + 222*g. Let i(z) = -13*a(z) + 6*p(z). What is the second derivative of i(v) wrt v?\nAnswer: 996*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 2.32.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 142, 219?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3361400 and 392?\nAnswer: 3361400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18925160 to the nearest integer?\nAnswer: 4350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*d - 48 = 0, -60 = 2*n - 7*n - 4*d. Calculate the remainder when 2\/(-9) - (-832)\/18 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htnr when four letters picked without replacement from rrthccccccrhnrc.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3608, -14440, -32322, -57254?\n\"Answer: -3525*l**2 - 257*l + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((7808\/(-24))\/16 - -7) + (-112)\/(-8)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let u(c) = 6*c**2 - 90*c. Give u(t(b)).\nAnswer: 6*b**4 + 90*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - -1 - (-15 + 25 - -17).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppvp when four letters picked without replacement from ppppppvppvvp?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.30759 - -3.30759. Sort o, -2\/285, 2\/7 in descending order.\nAnswer: o, 2\/7, -2\/285","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z - 5. Let a = -9 - -16. Let m(v) = 7*v + 15. Let i be m(0). Let x(o) = o + 8*o + i + 14 - 23. Give a*s(g) + 6*x(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(2 + (-7)\/2). Let d be -3*2\/14 + 72\/21. Put 2, d, z in descending order.\nAnswer: d, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6088 is divided by 203?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 11*x**3 - 24*x**2 - 6*x + 41. Let n(i) = -4*i**3 + 8*i**2 + 2*i - 14. Let f(p) = 3*a(p) + 8*n(p). What is f(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -190 - -325. Let t be l\/252 - ((-12)\/7 + 2). Which is the third biggest value? (a) -1\/5 (b) -3\/8 (c) t (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1584) + 0 + (sqrt(1584) + -3 + sqrt(1584) + -5)**2.\nAnswer: -408*sqrt(11) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14510225 (base 6) in base 10?\nAnswer: 506825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.7874 - -0.0274. Let c = a + 18. What is c rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(4)\/sqrt(2)) - sqrt(1377)*1) + (2 + sqrt(170)\/((sqrt(160) + sqrt(10))*-5))**2.\nAnswer: -204*sqrt(17)\/25 + 2517\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 63651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -191612, -383228, -574848, -766472?\n\"Answer: -2*m**2 - 191610*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1458 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 - 113 - (-5 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3690*i - 6736 - 5932 - 32309 - 10373 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2793623017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*g + 624134 = -3025*g - 2871*g for g.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 11:03 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918570.\nAnswer: 2, 3, 5, 67, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 0 - -2)\/(-1). Suppose 2*w - 2 = 3*b, -5*b = -4*w + 2 + 4. Suppose q = -b*j - j. Solve j = 7*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4232722?\nAnswer: 2, 13, 263, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 14. Let m be x(9). Suppose 3*v = -m*o + 21, 0*o - 4*v = 2*o. What is the greatest common divisor of o and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**2 - 5*l + 959. Let c(t) = -9*t**2 + 9*t - 1916. Give 4*c(b) + 7*g(b).\nAnswer: -b**2 + b - 951","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/11 + ((-1272)\/33)\/(-8). What is the closest to -0.1 in -1\/7, -0.5, o?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b - 31 = -319 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggtfffgtgtgftgt. Give prob of sequence gttg.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22540644 (base 8) to base 14.\nAnswer: -917616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2, -1, -18, 3\/5, 8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515 + 14*s**3 - 488 - 15*s**3.\nAnswer: -s**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (3*(sqrt(114) - (sqrt(114)*-3 - sqrt(114))) - sqrt(114)))\/sqrt(6).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 9*h**2 - 29*h + 36. Determine u(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -40?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 7*k + 6. Suppose 0 = 3*o - 5*t - 52, 2*o - 43 = -4*t - t. Suppose -5*p - 54 + o = 0. Give x(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 13 = 2*m + 2*o, -3*o - 48 = -m. Calculate the remainder when m is divided by 186\/18 - (-3)\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*l - 0*l - 22, 4*d + 5*l = -19. Let f be 10*((-39)\/d - 1). Let s = f - 14. 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: Let w = 6 - 5. Let j = 251.7 - 252. Suppose 4*f + 4*a - 3 = 1, 4*a - 7 = -3*f. Put f, j, w in ascending order.\nAnswer: f, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115 - -5) + (133 - 4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16621*f - 52*f**2 + 16621*f)*(-f + 3 - 3) to l*f + t*f**3 + y + j*f**2 and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-425))\/((-44)\/(-110)). Let s = 591\/170 - y. Let -s*b**2 + 7\/4*b**5 + 4*b**4 + b**3 - 1\/2 - 11\/4*b = 0. What is b?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 97. Suppose 0 = 2*n + p*r - 6, -4*r + 7 = n - 3*r. Suppose -n = x - 9. Is -11\/4 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 373, 0.1, -1101\/5, 2?\nAnswer: -1101\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose 2 - 6 = 4*x. Let i be x\/(-3) + (-24)\/(-9). Solve j*m = i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = 1. Let o = q + -8. Calculate the remainder when 4 + 0*1\/o is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138 divided by 40\nAnswer: 69\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-98 - (56 + -18 + -27)).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, p: 2}. What is prob of sequence rp?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 933 - 932.8. Which is the closest to 0.1? (a) m (b) 0.1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l**2 - 12*l - 1. Let f(x) = 6*x**2 - 11*x - 2. Let a(h) = -5*b(h) + 6*f(h). Let r be a(7). Let n(c) = r*c + c - 3*c. Calculate n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 8 = 5*m. Let z(f) = -10*f - 1. Let t(x) = -21*x - 2. Let j(c) = m*t(c) + 5*z(c). Calculate j(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327.531 millilitres in litres?\nAnswer: 0.327531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.59, 9, 0.4 in decreasing order.\nAnswer: 9, 0.4, -0.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -117320 divided by -16760\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 590 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3716 times -3011\nAnswer: 11188876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 + 4.8. What is the nearest to -2 in -2\/3, y, 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 2*f. Let j be (21 + -1)*6\/144*12. Suppose h - 5*z - 23 = 0, j = 4*h - 2*z + 8. Give g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c - 4. Determine x(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123 - -127. Let g(i) = i**3 + 15*i**2 + 15*i + 18. Let c be g(-14). Suppose 0 = -c*j - 2*r + n, -3*r = 4*j. Solve 0 = -t + 4 - j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 8*f**3\/3 + 3*f**2\/2 + 2*f + 154. Find the first derivative of u(g) wrt g.\nAnswer: 16*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 1. Let y(c) = -c**3 - 5*c**2 + c - 4. Determine -4*m(v) - y(v).\nAnswer: v**3 + v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -4\/3, -2\/5, -0.1, 5, 60?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {g: 7, k: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28944 and 504.\nAnswer: 202608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + 17 + -6 + -13.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858167 (base 9) in base 2?\nAnswer: 11111110100010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -220766, -214950, -209134, -203318, -197502?\n\"Answer: 5816*t - 226582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 12:44 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 12*y**2 + 22*y - 13. What is the remainder when 83 is divided by k(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2497.\nAnswer: 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 152916922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 12*h - 11*h + 4*h - 75 = 0, -4*h + 76 = -12*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.28 - 0.02. Let m = n + 0.4. Let w = 1.1 - m. What is the second smallest value in 0.3, 1\/6, 1, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*x + 60. Suppose 0 = -2*j + x*j - 144. What is the least common multiple of 12 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.228 + 0.294. Are l and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9918 times -5.401?\nAnswer: -53567.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1093\/20 + 299\/10. Find the common denominator of -49\/2 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32566 - -12572. What is the ten thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 403 + -690. Let d = -149 - a. What is the remainder when d is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1417374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 459721990 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114229049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -311740\/7 - -44680. Let w = -146 + p. Which is the smallest value? (a) w (b) -0.3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58996 in 1\/4, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 d, and 1 b when three letters picked without replacement from eptdpeb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*k - 108, 7*k - 3*w - 81 = 3*k. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t**2 - 2*t - 42. Let g(j) = 2*j**2 - j. Let m(r) = -f(r) + 4*g(r). Let p be m(5). Solve -p*u + 10 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3762?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p - 1. Give v(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 47 = 18. Which is smaller: p or 14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**2*q + 1076*l**2 + 4*l*q - 172*l wrt l?\nAnswer: -6*q + 2152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*h = 3*h + 82404, -4*n + 2*h = -109880. Suppose 0 = 5*w + 17692 + 44668. Let a = n + w. Round a to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28007 + 28046. What is the lowest common multiple of h and 6\/21 - (-1504)\/28?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -779.\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.33 + 17.33. Let m = h - 16. Let s = 1 - 2. Which is the nearest to m? (a) -0.4 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3 - 5*r + r)*(-15*r + 0*r + 3*r).\nAnswer: 60*r**2 - 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*j**5 - 37580*j**4 + 17671985*j**3 - 17643810*j**2 + 4408605*j.\nAnswer: 5*j*(j - 939)**2*(2*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**7\/231 - 2*x**6\/165 + x**4\/33 + x**3\/33 + 6*x + 4. Let k(g) be the first derivative of r(g). Find a, given that k(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40544980 to the nearest 100000.\nAnswer: -40500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 852*a - 745 + 745.\nAnswer: 852*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 25636100 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*-1 - (21 - 18744830). Suppose 2*d = -5455193 - h. What is d rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:38 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 - 0\/(-1))*1\/(-2). Suppose -20*v - x*m = -21*v + 25, 0 = -2*v - 3*m + 83. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/995 and 43\/6.\nAnswer: 5970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aha when three letters picked without replacement from {a: 2, h: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32350876 divided by 2?\nAnswer: -16175438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12659014 is divided by 973770.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015823445 to five decimal places.\nAnswer: 0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35808273 divided by -11936091.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/70 + (-4)\/7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -725, -2928, -6601, -11744, -18357, -26440?\nAnswer: -35993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r**2 - 4*r + 3. Let z = 7 + -5. Let s be v(z). Let n = s + -21. Calculate the remainder when 70 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -24*y + 8*y**2 + 15*y + 12*y - 14*y**2. Let h(f) = -f**2 + f. Determine -15*h(t) + 5*p(t).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from armmaarr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -6 - (0 - (0 - 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36588 by -6.\nAnswer: -6098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1648.567 - -1615.1. Let l = -33.3 - q. Round l to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w + 18. Determine l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - t + 1. Let o(n) = -6*n**2 + 5*n - 5. Calculate 4*a(x) + o(x).\nAnswer: -2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 3 (c) 1\/51 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*((1*sqrt(1400) - sqrt(1400))\/sqrt(7) + sqrt(24)\/(sqrt(84)\/sqrt(112))).\nAnswer: -12*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {x: 3, u: 4, q: 5, k: 1, o: 1, c: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 3)*(-10)\/(-6). Solve 12 + 8 = z*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-20)*2\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 35 - (0 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42 and -0.308092?\nAnswer: 41.691908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8d (base 15) in base 10?\nAnswer: -2383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7*a + 8*a + 2*a - 2*a to the form u*a + i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 7. Determine v(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.05.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 9:14 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -1 + -7 + 1. What is the second smallest value in -5, 1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330508 = 720*k - 508*k. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 2. Let m be r(5). Suppose -m*x - 398 + 971 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 11:07 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 7*x**2 + 9*x - 12. Let f be n(8). Let l be (-30)\/f*(-6)\/(-9). Let o be 1\/(-2) + 2\/3. What is the closest to 2\/7 in -1, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 73*c - 174. Does 3 divide x(39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 3. Let t be m(3). Let u = 11 - 3. Let k(h) = -4*h - 3. Let j(d) = 11*d + 8. Calculate t*j(c) + u*k(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 200\/17*j - 8\/17 - 1250\/17*j**2 = 0.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77792 and 858.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 10. Let a be i(-7). Let q be (6\/(-7))\/(a\/(-168)). Is -2 - -346*(-9)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*h - 5*m, m - 29 = -5*h + 77. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/4*12\/33. Factor 1\/2*n**z + 4*n + 8.\nAnswer: (n + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8070+-79725254\nAnswer: -79717184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = z - 10, -2*z = -v - 35. Let m(r) = 3*r**2 - r + 65. Let y be m(0). Let n = y - 63. Solve -2*h = n*h + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - i + 3, 0 = -3*b + 5*i - 2*i + 18. What is the second derivative of 2 - 2 + 0*w - b*w - 3*w**3 wrt w?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 861409?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1457*s - 1426*s = 93. Solve u = -2*v - 7, -s*v + 10 = -5*v - 4*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 175 = 2*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2201, 4331, 6447, 8543, 10613, 12651?\nAnswer: 14651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (-2)\/2 + 0 + 3. Is ((-270444)\/(-6) + d)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 1. Let u be p(2). Let o = u - 3. Let z(t) = -5*t + 1. Is z(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 45\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5402, -1, -0.5, -9, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3601373, -7202750, -10804113, -14405456, -18006773, -21608058?\nAnswer: -25209305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2\/125 of a micrometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 4*n**4\/3 + 43*n**3 + 4881*n**2. Give b(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 17\/33?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 10*b**2 - 6*b - 25. Let a be z(9). Suppose 10*l = a*l + 32. Suppose l*g - 56 = -4*d, -5*d - 5*g + 70 = -3*g. Is 25\/2 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 229*z + 6038. Let a be v(27). Calculate the greatest common divisor of a and 1898.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52 + -4 + -4 + 5. Suppose -5*f = -20, -51*g + j*g - 2*f + 14 = 0. Solve g*k - 2 = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 102 = -m - 44, 3*m = -q + 45. What is the highest common factor of 1472 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -167141.879 to the nearest one hundred.\nAnswer: -167100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 - -0.07. Is f < 8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1374 = 4*s - s, -908 = 2*s - 4*o. Let i be (-1)\/2 - (-1069)\/s. Let k = 32\/11 + i. What is the nearest to 0 in -3, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 34, 58, 82, 106, 130?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000090825869 rounded to 7 decimal places?\nAnswer: 0.0000908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1448)\/1810)\/((-6)\/(-5))*(-21)\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 87, 9014, 3\/5?\nAnswer: 9014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16420, -32776, -49132, -65488, -81844, -98200?\n\"Answer: -16356*m - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650429 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 677239981 to the power of 1\/2, to the nearest integer?\nAnswer: 26024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/6 - 2)\/((-8)\/(-72)). Suppose c - m = 6, 3*c + 2*c + m - r = 0. Solve -3*z + 5 - 11 = -3*p, 0 = -z + c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**5\/20 - 5*j**4\/12 - j**3\/2 + j**2\/2 + j. Suppose 16 = -4*q + 4. Calculate f(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 423408, 843081, 1262754, 1682427, 2102100, 2521773?\n\"Answer: 419673*b + 3735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.132 + 0.131782. What is g rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2891, -2892, -2893?\nAnswer: -2894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1739 and 7230133?\nAnswer: 339816251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -153 divided by -134543\nAnswer: 153\/134543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w - 6*y + 16 = 24*w - 88*w + 25*w + 22*w, -10 = -5*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -3273, -11659, -27987, -54903, -95053?\nAnswer: -151083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 + 124 = 6*j. Let h = j - 173\/2. Find the common denominator of 37\/7 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2768 = -0*a - 3*y, -4*a - 3*y = 2209. Let f = -407 - a. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12640 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 14\/23 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 47559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 148 = 5*c, -4*c + 4*q + 49 + 79 = 0. Let g = 8 + c. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*o + 457 = w, -3*w - 3*o + 489 = 0. Calculate the remainder when w is divided by ((-1128)\/(-60) - 19) + 136\/5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*b**2 - 110*b**2 + 57*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(6\/11))**(1\/5) assuming t is positive.\nAnswer: t**(6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79278 - -122578. Round n to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -6*a**3 - 3*a**2 + 0 + 0*a + 15\/4*a**4 = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(5\/2)*s)\/s**4)**(-18))**(-37) assuming s is positive.\nAnswer: s**(-333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -30*y + 7*y - 6*y + 5. Is c(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 5296853*y\/2 + 28056651703609\/4.\nAnswer: (y - 5296853)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-723.8.\nAnswer: 144.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.978465 rounded to 1 decimal place?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8772*v**3 + v + 26802?\nAnswer: 26316*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 882340 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(30\/(-24))*(-4)\/((-16)\/(-1174)) is divided by 119.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 45 = -0*r + r - 56, 7*r + 3*q + 0*q = 49 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -0.1 (c) 0.2 (d) 4\/7 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - j - 715 = y, 5*j = y - 155. Suppose 2*x + w - 450 = -3*x, w = -2*x + y. Calculate the greatest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26321281.5 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3521 - 3036 - 1469 - 2571 + 1865)*(0 + 20*o - 19*o - 1) as j*o + s and give s.\nAnswer: 8732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1297 - 1271. Solve 4 = -28*p + h*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 12:08 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112122 + 200202122202?\nAnswer: 200201010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -5, 5\/6, -800?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6620 + 667 - 1567 = -80*h for h.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 + -0.1. Let p = h - 5. Let q = 6.9 + p. What is the biggest value in 5, -2, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 12*t**2 + 2*t + 4. Let y be r(6). Let s = 9662 - 9682. Is 29 a factor of (y\/6)\/(s\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*1*6 + -1 + (sqrt(98) + -1 - (sqrt(2) - (-3*sqrt(98))**2)).\nAnswer: 48*sqrt(2) + 880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 154305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 10:42 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 62437389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224\/259841 or 0?\nAnswer: -224\/259841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -60, -5 in descending order.\nAnswer: 2, -4, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1024, 2051, 3078, 4105?\n\"Answer: 1027*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1221828*v**2 + 2*v. Let h(c) = -78*c. Give r(h(n)).\nAnswer: 7433601552*n**2 - 156*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(1\/19)*r*r*r**(-5)*r assuming r is positive.\nAnswer: r**(-18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**4 + 12*d**3 + 57*d**2 + 42*d = 0.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 11:31 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 9*m - 20.\nAnswer: -(m + 4)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.11 + 0.11. Let k = r + 8.91. Let a = k + 2.72. Round a to 1 dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1371)\/(-12) + 1\/(-4) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -387, -2\/7, 5384 in decreasing order.\nAnswer: 5384, -2\/7, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 423876835 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: Is 46906789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = -14*o - 119 + 13 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 2. Let u(b) = -942*b - 4. Calculate -4*o(q) + 2*u(q).\nAnswer: -1880*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 14 = -0. Suppose -10 = 3*d - 4*i, -6*d + y*d - 11 = -3*i. What is the units digit of (2\/d)\/((-6)\/726)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**2 + 447*a\/2 + 147\/2.\nAnswer: 3*(2*a + 49)*(3*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5781873, -11563744, -17345619, -23127498?\n\"Answer: -2*a**2 - 5781865*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1166, 1174, 1190, 1214?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.95 + -41. What is the smallest value in z, 0, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*m + 4*g + 6, 3*g = -5*m + 28. Suppose -d = 5*x + 2, -6 = m*d - x - 48. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a + 40. Let n be s(-6). Let x = 52 + -50. Suppose x*l + n*l = 288. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -158 - -345. Let f be q\/7 + 8\/28. Let j be 13\/156 - (-6)\/(-18) - (-21)\/4. Solve -3*a - 15 = -3*d, 0 = -2*d + j*a + f - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 - (2 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*n + 5. Let b(w) = -w - 9. Suppose 6*j - 12*j = 90. Let v be b(j). Solve 4*l - 3*l - v = -5*k, -2*l = -n*k + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r**3 + 6866615*r**2 + 8011010*r = 0 for r.\nAnswer: -228886, -7\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (-17 + -4)) + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -130*m + 95. Let b be d(-15). Suppose 3*h + 3*n - 2043 = 0, -3*h + 6*n - 11*n + b = 0. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -83.878?\nAnswer: -9.22658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4 - -5 - (-37 + 35)) + 19?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -137*v**3 - 10*v**2 + 13*v + 6. Let y = 10 - 21. Let m be o(y). Round m to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**5\/5 + a**3\/3 - 39. Factor u(f).\nAnswer: -f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**(-1\/2)*y)\/y)**(8\/3))**(-21\/8))**(1\/68))**17 assuming y is positive.\nAnswer: y**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14828*x**2 + 8123*x**2 + 11561*x**2.\nAnswer: 34512*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/11440 and -95\/1671384.\nAnswer: 16713840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 4*n - 21 - 11 + 85 - 2*n in the form h + l*n and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + -1 + (2 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flululllf. What is prob of sequence lf?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 11385. Let n(l) = -6505*l. Give n(f(p)).\nAnswer: 13010*p + 74059425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 132769?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -69, -95, -131, -177, -233?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5678, 4, -538 in ascending order.\nAnswer: -5678, -538, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/(-88) - 4\/22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61465.4 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 2*f - 9. Let h be b(3). Let d = -14 + 23. Factor 4*g - 3*g**2 - 3*g**3 - g - h*g**4 + d*g**4.\nAnswer: 3*g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 121 + 37 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.9861584 - 501.\nAnswer: -497.0138416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468590 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 4, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 26*p - 3. Let w be (2\/3)\/(16\/120). Suppose -2*a = -5 - w. Is l(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -255220, -510437, -765654?\n\"Answer: -255217*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 233848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**14\/v*v**(2\/5))\/(v**(20\/9))**(-3\/31))**(-50) assuming v is positive.\nAnswer: v**(-63310\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1899589449.\nAnswer: 3, 31, 163, 125311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, -975, 23, -1, 0 in ascending order.\nAnswer: -975, -19, -5, -1, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.6716km to micrometers.\nAnswer: 39671600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25170212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 0.04 (c) -0.3 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-580)\/3 + (-16)\/(-12). Let h = 538 + l. Suppose -5*p - 4*b = -h, 5*p - 3*b - 314 = b. Is p a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1782, -7391, -16740, -29829?\nAnswer: -46658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/(-5))\/(204\/561*220\/200)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86285?\nAnswer: 5, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 d when four letters picked without replacement from {r: 4, z: 3, d: 2, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, -100, -749, -2016, -4105, -7220, -11565, -17344?\nAnswer: -24761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/63 + (-10)\/45. Which is the closest to 17? (a) -4 (b) 1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14948 - -1874. Let v = -12995.9975 - z. Let b = v + -78. What is b rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*v**2 - 23 + 23)*(0*v**2 - 48 - v + 52 + 3*v**2).\nAnswer: 180*v**4 - 60*v**3 + 240*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = -5*w, 16 = 5*y - 2*w - 2*w. Suppose 224 - 44 = y*z. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -658 + 941. Let d = o + -283.1. Sort d, 4, 1.6, 1\/6 in ascending order.\nAnswer: d, 1\/6, 1.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432)*-1)**2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5448094 to the nearest integer?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1562\/71*2\/11)\/((-3)\/12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 34 = -3*t, -8 = -107*n + 108*n - t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -572, -2160, -4816, -8546, -13356?\nAnswer: -19252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -37*y**2 + 482*y + 486. Give z(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137.2 - -137. Let v = 1 - 3. Let h be 1\/6*(-6)\/8. What is the closest to j in v, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(1 + 0\/(-2)). Let n = d - 3. Suppose n = i + 4*p - 20 - 0, 2*p - 64 = -5*i. Calculate the smallest common multiple of 16 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 3 = 11*h. What is the closest to 1\/3 in h, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -23 + 18 + -15 + 2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 1369*p**5\/15 + 74*p**4 + 24*p**3 - 21*p**2. Find b, given that q(b) = 0.\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/10860 and -7\/75.\nAnswer: 54300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164 - 159 + 923*b**3 - 80 + 403 - 894*b**3.\nAnswer: 29*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2975 by 5.\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -15*v - 11. Let h(t) = 4*t + 3. Let j(x) = 22*h(x) + 6*p(x). Suppose -68 = -3*d - 3*u - 50, -3*u + 11 = -4*d. Calculate j(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -11*b - 21*b - 23 - 2. Let t = -354 - -360. Let i(q) = -31*q - 25. Let v(l) = t*i(l) - 5*j(l). Differentiate v(c) wrt c.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18828353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let l = 1.38 - 1.78. Which is the second smallest value? (a) -1 (b) l (c) 1\/7 (d) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0129 + -125.9871. Which is smaller: 0.01 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i = 0. Suppose -11*l - 13 + 46 = i. Solve r = -l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3571945 micrograms?\nAnswer: 0.0000003571945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 6:59 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 3, k: 2, l: 4, i: 2, r: 2}. Give prob of picking 2 v and 2 d.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 + 0 = -49*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5018 - -5037. Let s = 0.61 - 19.21. Let b = l + s. What is the closest to 0.2 in -0.1, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13968 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -23. Sort -1, -4, -2, p.\nAnswer: -4, -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 11*g - 6 + 2*g + 9*g**2 + 0*g. Let l(m) = -m**2 + m + 1. Suppose u = -2*u - 3. Give u*j(v) - 6*l(v).\nAnswer: -v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (174\/(-28) - 10*429\/(-660))\/(40\/(-42)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 9:44 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 2*o**4 - 4*o**3\/3 - 7*o**2\/2 + o + 20. Let s(l) = l**3 - l**2 - l. Let v(x) = d(x) - 5*s(x). What is v(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 149760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 86?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 62*d**2 - 2*d - 1. Suppose 5*z - 2 = 2*c - 17, -14 = 4*z - 2*c. Let g be q(z). Find the second derivative of -121 + g - 8*t - 3*t**3 + 58 wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*d**3 - 62*d**3 + 11*d**3.\nAnswer: -158*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167 - -203. Find the second derivative of 20*s**2 + 8*s - s**2 - n*s wrt s.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119069?\nAnswer: 119069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 5*t + 2. Let w = 9 - -1. Suppose p = -4*p + w. Give s(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 3 - b - 4*b + 3*b. Suppose -7*o + o = -12. Let m be f(o). Solve -3*l = -2*g - 8*l + 6, -m*l = -g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 70\/56) + 14\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*l - 14*l - 192. Suppose -4*h + 2*r - 5 = -31, h - 4*r - l = 0. Solve 0 = t - 5*t + h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -100*k + 114*k. Let l = -28 + 30. Is k less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -4078646, -3 in increasing order.\nAnswer: -4078646, -3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*h + 29, -2*q = 2*q - 2*h - 38. Let x = q + -8. Suppose 3*v = -i + 8*v - x, 2*i - 6 = 4*v. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/50 + (-1 - -1). Find c, given that 2\/5*c**3 - g*c**2 + 0 + 2\/5*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 17 - 8. Let a be ((-9)\/2)\/(-1*6\/12). Solve -17 = t + 4*z, 0 = -3*t - z + i*z - a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 18*a + 5*g + 51, 22 = -5*a + 14*g - 38 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 11 = 3*z. Suppose l + z - 12 = 0. What is the second derivative of l*t - t + 5*t**3 - 8*t wrt t?\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 15*w**2 - 2*w. Let j be y(-15). Let s(t) = -3*t + 75. Let o be s(21). What is the highest common divisor of j and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 632 and 22.\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57915 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 34*s**2 - 18*s + 377. Let p(f) = -34*f**2 + 22*f - 377. Let x(w) = 4*g(w) + 3*p(w). Find the first derivative of x(y) wrt y.\nAnswer: 68*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*q - 205*q = 116. Calculate the remainder when 238 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6152 + 36709 = 21*d. Let o = d - -538. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.4 from 0.0664989.\nAnswer: -5.3335011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13940)\/9758)\/(10\/42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 greater than or equal to 385\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {q: 1, e: 1, u: 4, r: 3, h: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/((-60)\/(-55))*16 - 0. Let h = l - 46. Suppose -11*o - 42 = -14*o. What is the highest common divisor of o and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 + 18*r**2 - 4*r**2 + 17*r**2 - 9*r**2 wrt r.\nAnswer: 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137329?\nAnswer: 191, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -31. Let s = 3 - 3. Let g = s + -0.4. Sort g, h, -1\/3.\nAnswer: h, g, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, 2393, 8302, 19267, 36974, 63109, 99358, 147407?\nAnswer: 208942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2015*j + 572283. What is v(-284)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 13)*(3*q - 4*q - 3*q)*(-2 + 1 + 2).\nAnswer: -40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5632108, 11264226, 16896342, 22528456, 28160568, 33792678, 39424786?\nAnswer: 45056892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15801 = 41*t - 14940 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3ab + 348?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 9*v + 8 - 2*v + 7*v**2 + 3*v**3. Let n(r) = r**3 - 68*r**2 + 56*r + 731. Let i be n(67). What is m(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*j**2 - 3*j - 9\/4.\nAnswer: -3*(j + 1)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 7*m + i = 0, 5*m = -3*i + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 2*n**3 - 5*n**2 + 5*n + 1 - n. What is the tens digit of w(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4353 - 4353 + 5*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a second in milliseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 2. Let q(k) = 20*k**2 + 14. Let v(w) = -14*p(w) - 2*q(w). Let c(i) = -3*i**2 - 1114. Calculate c(v(y)).\nAnswer: -12*y**4 - 1114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1134381 - -1254617557\/1106. Let z = -4\/553 - l. Find the common denominator of -79\/18 and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 40 = -4*z, z + 0*z + 5*u = -27. Let q be z\/(-20) + 6\/(-15). Let g = q - 1\/5. Is 0 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3*y = 19*v + 18, -4*v + y + 6 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25 + 1.75. Let p = -1 + x. Let q = 0.9 - p. Which is the second smallest value? (a) q (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**7\/210 + c**6\/6 + 359*c**3\/3 + 78*c**2. What is the first derivative of g(k) wrt k?\nAnswer: -4*k**3 + 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a - 30. Is s(-14) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2614703\/88 - 29713. Calculate the common denominator of -97\/10 and j.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120055535 - -5?\nAnswer: 120055544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4 + 1720*d**3 - 25404*d**2 + 45656*d - 21970 = 0?\nAnswer: 1, 13, 845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + u**2 - 2. Let d(n) = -224*n**3 + 16*n**2 - 32. Give -d(t) + 16*l(t).\nAnswer: 208*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 5*p. Let r(j) = -2*j**2 - 4*j. Let v(h) = -5*r(h) - 4*y(h). Let s(o) = 622*o**2 - 382*o**2 - 308*o**2. Give s(v(d)).\nAnswer: -272*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.08 (b) 2\/9 (c) 5\/4 (d) -0.4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-6)*80\/(-100)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 0)*(-x + 3 - 3)*(0 - x + 0)*(-3*x**3 + 2*x**3 - x**3).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let x(v) = 121 + 123 + 125 - 372. Let k(t) = -t - 5. Let w(d) = -d**2 + 4. Let n be w(3). Let r(l) = n*x(l) + 3*k(l). Give r(u(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (-31 + 21)) + (-4 - (-2 - 1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 - 11*f**3 - 2*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(-2*3\/(-60)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*k + 279*k + 201*k - 96264 = -345*k for k.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.6 and 58817.1.\nAnswer: 58827.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 693?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 - 44*b**3 - 8*b**2 + 176*b = 0.\nAnswer: -2, 0, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 229.0091 + -229. Let c = a - -268.9909. Let i = 268.893 - c. Round i to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:26 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, v: 3, d: 1, h: 1}. Give prob of picking 1 h, 1 v, 1 d, and 1 w.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = 4*k - 595. Let j be ((-5)\/((-30)\/k))\/1. Solve 2*s = j - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 3127450 + 3127450.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17211811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 + -98. Let w be -2 + (7 - s\/1). Solve -w*p = 5*x + 25, 7 = -2*x + 2*p - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - -0.5. Let z = 28.306 - 28.6. Let v = z + -0.106. Which is the second biggest value? (a) v (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m - 96. Let n be m\/(-36) + 28\/6. Solve n*o - 2 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 12*d**2 - d. Let w be a(-1). Suppose -3*q - 1 = 5*t + w, -5*q + t + 14 = 0. Suppose -49 = -4*b - 2*h + 5*h, q*h + 37 = 3*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 + 9440*k**2 + 28355*k + 18910 = 0. What is k?\nAnswer: -2, -1, 1891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161 + -108. Suppose h + 52 = 5*z. Let g = -2 + z. Calculate the highest common divisor of g and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 + 13)*(-3*s + 4*s + 0*s)*(-1 + s**2 + 1) + 4*s**3 - 2*s**3 + 0*s**3.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*c + 2 = 0, -2*f + 9 + 3 = -4*c. Solve n = 5*n + 2*k + 26, -1 = -n + f*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*(-8)\/16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 208 (b) -0.5 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -5)\/(12\/6). Let v be 33*(-6 - p - (-2 + -3)). Which is the second smallest value? (a) -0.3 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/5)\/((-6)\/15). Suppose w = -u + 29, u - 23 = -0*u - d*w. Is u < 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*187\/209 - ((-2 - -5) + -4). Put -4, 1, 347, l in decreasing order.\nAnswer: 347, 1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3932189 (base 10) to base 13.\nAnswer: a78a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.12 or -205765?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 14 - 67. Is x + 1 + 3 + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/6 - 26*d**3\/3 + 25*d**2 + d + 486. Factor i(n).\nAnswer: 2*(n - 25)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0*u - 1\/896*u**8 + 0*u**4 + 0*u**3 - 1\/40*u**5 + 15*u**2 + 0 - 1\/280*u**7 + 7\/320*u**6. Factor k(q).\nAnswer: -3*q**2*(q - 1)**2*(q + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112560 by -1407.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 1027.05\nAnswer: -513.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvenqvegf. Give prob of picking 1 q and 2 v.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 3) in base 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -3*g + 24, -40519*q + 40522*q = -4*g + 54 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 13*i**2. Let g be y(-1). Let z = 231 + -218. What is the greatest common factor of g and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147877650 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**3 + 7*h - 1. Let n(d) = 4*d**3 + 2*d + 1 + 3*d - d**3 - 9*d. Determine -7*n(q) - 4*p(q).\nAnswer: -q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5454058 - r - 5453977 + 10908551.\nAnswer: -r + 516","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Suppose 9*q + 12 = l + g*q, -2*l - 4*q = -52. Calculate the greatest common factor of 55 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 + 4*z**2 + 3*z + 1. Let s be ((-12)\/(-9))\/(476\/(-204)*(-2)\/(-7)). Calculate l(s).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*f + 14, -2*d + 7 = -3*f - 3. Let u be (-3 + 16)*(-5)\/(50\/d). What is the nearest to -1 in -2\/3, 2\/9, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u + 10 - 11 = 99 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 3*h + 1\/2*h**2 + 0 + 1\/20*h**5 + 2\/3*h**4 - 1\/6*h**3. What is the units digit of m(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2120, -4870, -8266, -12308, -16996?\nAnswer: -22330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1309620 by -5.\nAnswer: 261924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 + 2*a - 1. Let j(h) = -7*h**2 - 3*h + 3. Let w(m) = 2*j(m) + 5*n(m). Let k = 313 + -318. Determine w(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 11*p - 4. Let c(q) = -q**3 + 9*q**2 - 10. Suppose -6*l = -39 - 15. Let y be c(l). Let x be d(y). Solve -16 = -2*w + x*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 12, 0.1, 2, -4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1855 and 148375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*h + 3 - 42, -4*s - 2*h = 66. Let x be (-4)\/18 - 58\/s. Suppose x*f + 47 = 164. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -254 (b) 0.1 (c) 2 (d) 3 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 570696 and 14624085.\nAnswer: 116992680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 782*p**3 + 68*p - 68. Let o(z) = 34*z**3 + 3*z - 3. Let d be (5 + ((-121)\/33 - -10))*-6. Give d*o(t) + 3*l(t).\nAnswer: 34*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 8*k + 108 - 76 = t - 7*t + 3*t, -5*t + 16 = -4*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -14*(-1)\/2*-5. Let b = 84 + p. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5195878 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -74, 2\/5, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -63\/5, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -49\/3, 0, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51950 is divided by 272.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2. Let m(t) be the second derivative of t**5\/10 + 3*t**2 + 9*t. Let l(j) be the first derivative of m(j). Calculate l(s(d)).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 186 = -0*t. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - a - 477 = -3*t, 3*a + 3 = 0. Let u = 84 + -67. What is the greatest common divisor of u and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 934 divided by 4\nAnswer: 467\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-12)\/(-8) + -1). Suppose 4*z + 15 = 7*z. Solve -z*o = -u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -15. Solve 6 = -2*f - w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1164*n - 346 = -2490 - 4386 - 2782 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 8*d - 7. Let u be m(7). Let q(n) = n + 77. Let i be q(u). Let f be (-4)\/14 + 36\/i. What is the third biggest value in -0.2, f, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460610 plus -0.35?\nAnswer: 1460609.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1797976614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*z = 3, 10*o - 13*o = 4*z - 15. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -25.09. Which is smaller: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/47)\/((g*g**(-10))\/g)*g**(1\/4)*g*g**(1\/9)\/g*g assuming g is positive.\nAnswer: g**(19151\/1692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 12.6. What is the nearest to -2\/9 in -4, -3\/8, u?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 6 - (-22 - -22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 151*s - 2. Is a(17) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 12*k**2 - 16*k + 19. Let a = 8 - -2. What is the tens digit of r(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(7)) + -4 - (sqrt(189)\/sqrt(3) - sqrt(63))\/sqrt(9) - (2 + sqrt(35)\/(sqrt(5)*1)))**2.\nAnswer: -12*sqrt(7) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 45. Let y be h(23). What is the least common multiple of (1\/(-6))\/y + 4840\/240 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 divided by -6397?\nAnswer: -1046\/6397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12193*a - 12152*a + 1271 = 0 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2701930 divided by -4.\nAnswer: 1350965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1655464, -1655460, -1655456?\n\"Answer: 4*k - 1655468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a - 3 - 8*a - 3 - 216*a - 350*a - 278*a + (3 - 1 - 3)*(-3 - 2*a + 3) to c*a + t and give c.\nAnswer: -841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 7. Let p be q(-6). Let s(r) = 8*r**2 + 2*r**2 + 6 - p - 9*r**2. What are the prime factors of s(4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 101*j**2 - 201*j**2 + j**3 + 98*j**2 + 2*j as u*j**3 + z + q*j + l*j**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1086 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z + z. Suppose 10 = -l + z*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 574 = -5*w, -w + 6*w + c = -569. Let y = w - -302. Calculate the remainder when y is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/20114 and -33\/58384?\nAnswer: 6597392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 769922 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {g: 1, r: 2, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8742 + -8632.675. Let z = 111 - y. Let p = z - 0.305. Round p to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 2:42 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 0*y**3 + 52722*y**2 + y**3 - 52722*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0520952 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 777184\/510027*-4*(-6)\/(-4)\nAnswer: -64\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqtq when four letters picked without replacement from {q: 7, t: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 8e?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 167531 + -10?\nAnswer: 167521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.03828, -34, -0.2, 3, 4?\nAnswer: 0.03828","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 - -0.07. Let l = d + -0.8. Let n = l - 1.5. Are -3 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:29 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or 114749?\nAnswer: 114749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five halves of a milligram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -764 - -764. Solve t = 2*x + 4 + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 3 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 11. Let g(y) = 3*y + 11. Let q(j) = -j - 4. Let d be 33\/(-30)*2*-5. Give d*q(r) + w*g(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 6 = 6. Solve s*v - 6*v = -2*y - 20, 5*v - 25 = 4*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((43605\/380)\/459)\/(1\/(-236))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12098 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x - 744. Let h(n) = 4*n - 374. Determine 11*h(t) - 6*k(t).\nAnswer: 2*t + 350","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3\/4 + 105*d**2\/2 - 1389*d\/4 - 399 = 0.\nAnswer: -76, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*y - 48823, 2*y - 11*o + 13*o = 19526. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -9 (c) 2\/3 (d) 1 (e) -15 (f) 187 (g) 0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -d - 12, 3*d - 5*d - 20 = 5*h. Let z be 10\/h*4\/(-5). Suppose 0 = -m + 4*s + 23, z*m - 2*s = 13 + 3. Solve 3*f - 5 = m*i + 1, 8 = 2*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w + 3*t - 67, 0 = w - t - 15. Let l = 12 - w. Let y(u) = -u**3 - 2*u**2 - 2*u - 4. Let x be y(l). Solve x = 5*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.7 + 5.6. Which is the third smallest value? (a) 2\/3 (b) -2\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -1\/4 (c) -0.2 (d) -2\/7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 3*o - 27 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 less than -1411407056541?\nAnswer: -1411407056679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4410 - 2843. Let s = 2295 - l. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**8\/448 + 9*r**7\/280 - 13*r**5\/10 + 3*r**4\/2 + 18*r**3 + 6905*r**2. Solve b(t) = 0 for t.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001111101011 + 11?\nAnswer: -1001111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1236*0.2.\nAnswer: 247.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 22*c**2 + 88*c - 37. Is 18 a factor of m(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.57637 grams in milligrams?\nAnswer: 67576.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/86457 and -85\/2806.\nAnswer: 10547754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135144 and 33576.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 348, 1479, 3786, 7677, 13560?\nAnswer: 21843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0.22, -4295, 3\/5?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - -66410036?\nAnswer: 66410116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114177867 divided by 4.\nAnswer: -114177867\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 3*x + 16. Suppose x*p + 1 = -w - 9, 0 = 5*p + 2*w + 11. What is the remainder when 20 + -3 + (-18)\/p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2 + 10*g + 18 - 9 - 9 + 3*g**2. Let c be a(-4). Solve c = -x + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 12370?\nAnswer: -3\/12370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*r**3*w - 13*r**3 + 3512*r**2*t + 3*r**2 - 2*r*t*w - 143*r*t - 2*r*w - 90*t*w - 26*t - 4 wrt r?\nAnswer: -114*r*w - 78*r + 7024*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2016\/(6 + 1) - -4. Is 5*d*5\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*n + 6. Let d(f) be the second derivative of -2*f + 1\/4*f**4 + 0 + 5\/2*f**n + 0*f**3. Let z(r) = 5*r**2 + 8. Determine 8*d(u) - 5*z(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4, -54.34, 0.13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 36. Let o = -0.032 + -0.398. Let j = -0.03 - o. Sort 0.3, v, j in ascending order.\nAnswer: v, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 - 71. Suppose 5*b = 3*x - n, -4*x - 45 = 5*b + x. Let p(k) = k**2 - 18*k - 5. What are the prime factors of p(b)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27531541.\nAnswer: 41, 671501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 16*y**2 - 32*y - 2239. Determine a(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/21 + (-6)\/21 + 49 + -55.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/19)\/o)\/(o\/(o*o\/((o\/(o\/o**(2\/9)))\/o))))\/((o*o**(-3\/4))\/o**(-6)))**(-2\/95) assuming o is positive.\nAnswer: o**(3671\/32490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1, 1.6, -0.127?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j + 17. Let v(n) = n**3 + 7*n**2 + 7*n + 7. Let s be v(-6). Let i(g) = -13*g - 1. Let u be i(s). Is y(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*f + 253*f - 125*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 5:03 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 14 + 109 + -117?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*u - 23, -k - 17 = 2*u - 7*u. Suppose 3*l - u = 6. Solve 5*w - 19 + 8 = 2*o, 1 = 5*o - l*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 23, -0.17, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442 and 24531.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, -2, 0, 3, -3 in decreasing order.\nAnswer: 21, 3, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17399?\nAnswer: 127, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + 2. 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: Solve -1828*c**4\/7 + 9146*c**3\/7 - 12826*c**2\/7 + 5526*c\/7 - 18\/7 = 0.\nAnswer: 3\/914, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -0.29. Let m = -0.264 + w. What is m rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1893*l**5 - 609*l**2 wrt l?\nAnswer: 113580*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b**2 + b + 4 + 9*b**2 - 2*b. Let w be m(4). Suppose -4 = 2*x - w. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.52 * -0.7.\nAnswer: 4.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppjh. Give prob of picking 1 h and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.071 - -0.171. Suppose 0 = 2*w + 46 - 34. Let y be w\/(-30) + ((-36)\/(-10))\/2. Which is the closest to 0.1? (a) -5\/4 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -6 - 4) + 7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*o**3 + 2*o + 727*o**3 - 2*o.\nAnswer: 642*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-6 + 3)) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*n - 13, -33 = -5*o + o - 5*n. Sort o, 0.03, -0.1 in ascending order.\nAnswer: -0.1, 0.03, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429790 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2288 = 45*i - 637. What is the least common multiple of i and 235?\nAnswer: 3055","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 + 2 - 1 - a**2 to v*a**2 + k + w*a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -9, 51, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 326389.9 to the nearest one thousand.\nAnswer: 326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 - (5 + -6 + -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 13) to base 2\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o + 237. Let y be n(26). Let r = -1 - 1. Does 20 divide (-4510)\/33*y\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78877 (base 9) to base 16\nAnswer: ccfd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 + -0.33. Put s, 0.1, -2\/11 in increasing order.\nAnswer: -2\/11, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.93 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 v when three letters picked without replacement from vvnvvvnvv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -87*q**3 - 4*q + 3. Let r = -74 + 75. Let b be d(r). What is the remainder when (-1)\/(b\/84 - -1) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 12:57 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 3*t**2 + 2*t - 3. Determine j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495004899 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 970 = 242. Suppose 9*a - 2*a = u. Suppose 3*n + a = 604. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((21716718\/12)\/(-17))\/(5\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3227, -7183, -11141, -15101, -19063, -23027?\nAnswer: -26993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1714 - -364723?\nAnswer: 366637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31761556 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20652, 41298, 61944, 82590, 103236?\nAnswer: 123882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((-41)\/(-369))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 + 0*b**4 + 2*b**5 + b**5 - 2 + 2 + 2*b**5 + 2 - 2 + 2*b**2 - 2*b**2 + 2*b**5 + (0*b**2 - b**2 - b**2)*(-b**3 + 0*b**3 - b**3).\nAnswer: 11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.108 - 0.108. Let c = f + -6. What is the smallest value in -12, 0, c, 5\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(931))**2 - sqrt(19)) + sqrt(931)*-6.\nAnswer: -43*sqrt(19) + 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 6*p**2 + 4*p + 8. Let u be t(-4). Suppose 97*h + u = 103*h. Solve 14 = -2*s + h*d, 3*s - d - 4 = -20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -11*o - 4. Suppose 4*l + 4 - 224 = -2*h, 4*l - 340 = -3*h. Let c be 3\/5 - 32\/h. Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3\/5 + 5252*y**2\/5 - 346364*y + 1029660 = 0. Calculate y.\nAnswer: 3, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obbmyzbybbzbymyyy. Give prob of sequence zmyz.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214889 is divided by 307.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (138\/(-4))\/(-3*9\/54). Suppose 4*x - o = 287. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676795419.\nAnswer: 3, 719, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 7*j + 11. Let h be p(8). Suppose 0 = 3*f + 2 + 1. Let d be (3 + -1)\/f - -5. Solve 0 = -d*x + 2*t - 1, t + t - 7 = -h*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.3, -119, -2\/7, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 8*j**2 + 7*j + 5. Let i(b) = -2*b**2 + 30*b - 35. Let q be i(14). What is the remainder when a(-6) is divided by 30\/q*(-287)\/123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:14 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3 - 732*g**2 - 126336*g + 2827520 = 0.\nAnswer: -376, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 - 5*r + 2. Let k(z) = -5*z**2 - 6*z + 1. Let f(i) = -2*k(i) + 3*x(i). Let y(v) = v**2 + 2*v - 3. Give -3*f(c) - 4*y(c).\nAnswer: 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*17\/(1190\/(-28)). Solve y*j + 693 = 705 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-3 + 2)\/(-1). Suppose -x*r - 2*r + 5*s + 10 = 0, 2*s = -r - 4. Suppose -2*t - 15 + 121 = r. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5.52 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 30 = -5*o, 0*o + o + 4*m + 24 = 0. Let a = -114 - -110. Let c be (-2*(-2)\/4)\/(a\/(-20)). Put 3, c, o in descending order.\nAnswer: c, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e0 + -2ad7?\nAnswer: -29f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5660 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(40)\/(sqrt(2)*-2))\/((sqrt(40)*-2)\/sqrt(10)) + 5)**2.\nAnswer: -5*sqrt(5) + 105\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11041134 (base 10) in base 12?\nAnswer: -3845666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 109668456 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1592*n - 15. Let p(o) = -2*o**2. What is p(r(q))?\nAnswer: -5068928*q**2 - 95520*q - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-6.618.\nAnswer: 2.6472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*f + 126*f - 16*f = -586*f + 48007 for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 16*h**2 - 119*h + 99. Determine k(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1036.25 take away -17.88?\nAnswer: -1018.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -3883*z**2\/2 - 2536*z + 1389. Find the first derivative of o(h) wrt h.\nAnswer: -3883","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -1. Suppose 5*o - 38 = -4*f, 536*o - 2*f + 24 = 541*o. Sort 6\/11, 5, o, a.\nAnswer: a, 6\/11, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-21)\/(-560)*(-3 - -36) and -57\/14?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160036505 (base 7) to base 4\nAnswer: 220320012302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13183 - 10751 = 58*j - 210*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1521 - -1520.79. Which is the third smallest value? (a) 1 (b) 2\/15 (c) v (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84424.7 milligrams to micrograms.\nAnswer: 84424700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/131*(50 - 24)\/52?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = c + 11. Let i be -3 + (38\/8 - c\/20). Suppose -15\/4*b - 3 - 3\/4*b**i = 0. What is b?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1512\/(-1080)*(-65)\/(-2)*(-80)\/(-70).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f - 5. Let t(w) = -6*w + 6. Give 5*m(c) + 4*t(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72)*2 + sqrt(72)))**2 - sqrt(24)\/(sqrt(36)\/sqrt(3)).\nAnswer: -sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 j, and 1 b when four letters picked without replacement from gxjjxgjgxbjejggb?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 17826.09 to the nearest ten.\nAnswer: 17830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35331923?\nAnswer: 11, 149, 21557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**2 + 0*m**4 + 13*m**4 - 18*m**4 wrt m?\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 17*f**4\/24 - 13*f**3\/3 - 37*f**2. What is the first derivative of n(p) wrt p?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 3 = 5*b, 3 = -o + b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*z**3 + f - 33*z**3 + 15*z**2 - 1 wrt z?\nAnswer: -12*f - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2328655 (base 10) in base 3?\nAnswer: 11101022022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33884 and 144007?\nAnswer: 576028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - 2136\/(-72))*45\/21\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4\/4 + 16*u**3\/3 - 21*u**2\/2 + 9*u - 10. Let z be t(15). Let o = -28 - z. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1976 is divided by 1967.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -710509\/24 + 29610. Let v = -6\/581 - -28487\/1743. Find the common denominator of v and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58095 by 4701.\nAnswer: 19365\/1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 4:51 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(500)*-1*-5 - sqrt(500))**2 - (0 + ((2*sqrt(60))\/sqrt(2) - sqrt(30))\/sqrt(6)).\nAnswer: -40000 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 3*g - 7, -16*g - 23 = -4*j - 21*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.904696 + -0.019004. What is g rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, y: 1, m: 1, c: 2, e: 5, a: 2}. Give prob of picking 2 u, 1 a, and 1 y.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5932 + 6093. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1405060800*o**3 - 529327*o**2 - 2.\nAnswer: 8430364800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.4, -1\/8, -0.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**3 + 6551573*s + 227127173.\nAnswer: -6*s**2 + 6551573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 8. Which is smaller: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/72 and -145\/1529976.\nAnswer: 4589928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-1170)*(11 + -1).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m + 6174 = 567*m + 714 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 16*z - 43. Let g be w(3). Put 56, -1, 2, g in descending order.\nAnswer: 56, g, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = w - 848, -3*w - 24*b = -21*b - 2520. Calculate the greatest common factor of w and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 5 = 11 + 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-9)\/(-2))*2. Let q(p) = p**3 + 4*p**2 - 5*p + 3. Let d be q(l). Find k such that d*k**3 - 2*k + 0*k + 3*k**4 - 13*k - 6 - 9*k**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -11 + (0 - 13) + (28 - 34)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113449 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -465\/4 (b) -4\/3 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2284*z + 2 + 8*z**2 - 2 + 2286*z in the form g*z**2 + o + a*z and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:02 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - d)*(10 + 8 - 20*d**2 - 17).\nAnswer: -40*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4207 + -43.5793. Which is the fourth smallest value? (a) s (b) -2\/5 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 224 - 471. Let s = 247.000258 + r. Round s to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.99884 nanometers in meters?\nAnswer: 0.00000006099884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 9*j + 1. Let b be r(-6). Let p = 34 - b. Calculate the highest common divisor of p and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -176, -725, -1830, -3677, -6452?\nAnswer: -10341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*w**4\/7 + 222*w**3\/7 + 237*w**2\/7 + 6*w = 0. Calculate w.\nAnswer: -7, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c + 6. Suppose 7*j - 2*j = 0. Calculate the remainder when ((-22)\/(-4))\/(5\/10) is divided by p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*l*u**4 - 2*l*u**2 + 18*l + 6*u wrt u?\nAnswer: 720*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**3\/2 - 166*k**2 + 5257*k\/2 - 1025 = 0.\nAnswer: 2\/5, 25, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -15*x**7 + 22*x**3\/3 - x**2\/2 - 16. Find the third derivative of r(f) wrt f.\nAnswer: -12600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91393267 and 3437.\nAnswer: 3437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 433 + -4?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4086 and 1838246?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -6. Suppose 0 = z + 29 - 28. Which is the second biggest value? (a) 0.2 (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 1)*(-o + 3*o + 0*o) - 2*o - 3*o + 2*o + 1 - 4*o - o + o.\nAnswer: -15*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 17*h - 6 = -2*g, 4*g - 10 = -3*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x - 9. Let w(t) = -9*t - 10. Let z(p) = 5*n(p) - 4*w(p). Differentiate z(v) with respect to v.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {l: 1, e: 1, y: 1, h: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1059\/14 in -21, 0.096, -4\/9?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -273 - -348. Calculate the remainder when t is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2. Let d(t) = 11*t. Let w(c) = 98*c. Let p(y) = 35*d(y) - 4*w(y). Calculate p(x(i)).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24331.\nAnswer: 29, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-18)*-3)\/(6\/(-27))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 10. Let g = 377 - 390. Sort p, 2\/3, g in decreasing order.\nAnswer: p, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 - 0.57. Let f = 0.6 + y. Put -5, -0.5, f in descending order.\nAnswer: f, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/sqrt(2))\/sqrt(2) + sqrt(24)\/(sqrt(12) - sqrt(108)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 41*k**6\/120 - 11*k**5\/60 - k**4\/24 - k**2 + 65*k. Let u(a) = -8*a**3 + 2*a**2. Give 2*b(v) + 11*u(v).\nAnswer: -6*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 6 = 2*g, -5*w - 78052 = -13*g - 78007 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 smaller than -0.56462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335564357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.29? (a) 1\/2 (b) 3 (c) -0.4 (d) 4 (e) 797\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2112)*6)\/((-1*sqrt(12) - sqrt(12))*-5).\nAnswer: 24*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3109573175 to the nearest one hundred thousand.\nAnswer: -3109600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14702730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-120)\/9)*(-2)\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**7)**25 assuming t is positive.\nAnswer: t**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*h**2 - 21*h**2 - 44*h**2 - 2*h**2 - 25*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 80\/3 (b) 0.2 (c) -2\/11 (d) 0.083844\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 0.1831173?\nAnswer: 6.8168827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-399)\/684*117\/91)\/(25\/(-8))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2784887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20721870 and 9209720?\nAnswer: 82887480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 6:26 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*q = 10*q - 10*q - 60, 0 = 3*b - 3*q + 51 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhb when three letters picked without replacement from bchhdc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/6*(-3)\/2. Suppose -5*c = -2*z - 18, 2*c = -c - 2*z + r. Suppose -c*a + j = -2*a - 354, -5*a = -j - 891. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*b = -9, -1479*b + 1478*b + 7 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313, 626, 939, 1252, 1565?\nAnswer: 1878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29986.\nAnswer: 2, 11, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 16*x**2. Let f(p) be the second derivative of 2*p**3\/3 + 67*p. Determine n(f(r)).\nAnswer: 256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 76, 152, 228, 304, 380, 456?\n\"Answer: 76*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -1, 4, 9, 14, 19?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 3*p - 2*c, -5*c - 144 = -3*p + 196. List the prime factors of 258\/8*p\/45.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from yyyyehyhyeyyy?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-735)\/14)*-3*1. Is j > -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 57\/1961?\nAnswer: 57\/1961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -15*r - 31*r + 70*r. Let u(x) = x**2. Calculate i(u(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:03 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 18. Solve -x*i + i + 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 84*u**2 - 39*u + 3294. What is w(84)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7 = -2*g, 14*g + 22 = 19*g - 2*y. Calculate the greatest common factor of 7688 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 28064603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*w + 4 = -3*z, 4*z - 5*w = 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117461016 and 972?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40961160 divided by 46920.\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1700) - (sqrt(1700) + 1 + 4))*-2 + -6*(-1*sqrt(153))\/sqrt(9) + 0)**2*-1.\nAnswer: -1424 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n + 3. Let d(g) = 63*g - 28. Let y(r) = -3*d(r) - 28*v(r). Let j(u) = -3*u. What is y(j(l))?\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u - 2. Let o be r(4). Suppose 4*l = 7*l - o. Differentiate 2 - 6 + l*w + 1 with respect to w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -902? (a) 2\/5 (b) -1\/4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 515 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*u = 1744, 0 = 3*o + 4*u - 2*u + 1044. Let r = 513 - o. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*h + 6*d + 2204, 4*h + 2*d = 2232. Suppose l + 536 = 5*k - 386, -h = -3*k + 2*l. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1*(35\/(-5))\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4032.4 + 4032. Which is the second biggest value? (a) -28 (b) 3\/2 (c) 1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308460081 to the power of 1\/4, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -823 * 36.7956\nAnswer: -30282.7788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200)*5 - sqrt(200)) + 1 + 3 + -4*sqrt(200))**2 + 5 + 0)*-1*-6.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/6 - (-16)\/24. Let l be (3 + -24)\/(g\/(-8)). Let p = l - 17. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.31 and -1834.\nAnswer: 568.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -49 and -2445220.\nAnswer: -2445269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*l + 33 = -2*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -426*m + 423*m. Suppose 0 = -19*u - m*u - 3589. Is u greater than -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -106 and 1?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 59*a - 354. Calculate s(61).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205, 9, -111 in increasing order.\nAnswer: -205, -111, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, n: 2, o: 3, m: 6, u: 3}. What is prob of sequence iu?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:31 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8551*v + 8593 = 8552*v. Is 69 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 20*i + 35. Let s(b) = -4*b + 7. Let a(h) = -j(h) + 5*s(h). Let w(t) = 967*t - 2. What is w(a(g))?\nAnswer: 967*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 11*f**2 - 10*f + 4. Let p be g(-10). Suppose -p*d + 56 = 2*u, -d = -4*u - 0*u + 4. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449937?\nAnswer: 3, 49993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1143 - -1143.0689. Which is bigger: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*((0 + sqrt(11))*2)**2 - (1*sqrt(99) + sqrt(99) + -3)**2))*3.\nAnswer: -942 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-24) + (-1)\/(-3). Suppose r = -12*i + 14*i - 80. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + 93016\nAnswer: 93049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r + 1. Let i(z) = 19*z + 2. What is 3*i(k) - 8*s(k)?\nAnswer: 9*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 17. Let y(q) = -q - 8. Suppose 4*j = 5*d - 20, -5*j + 3*d = 32 - 7. Give j*y(v) + 2*t(v).\nAnswer: v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/(d\/(d\/((d\/(((d\/(d*d**(-2\/7)))\/d)\/d)*d*d)\/d*d)))*d))*d*d)\/d**(-1\/11)*(d\/(d\/d**(-2)*d))**(-8\/5) assuming d is positive.\nAnswer: d**(1993\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 + 3.4. Let l = k - 0.6. Let w = -2\/67 - 112\/737. Which is the third smallest value? (a) l (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/11 - -37\/22. Let n = -71\/429 + -24\/143. Let h = 79 - 631\/8. Sort -1, a, n, h in descending order.\nAnswer: a, h, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6754 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12081, 12781, 13467, 14133, 14773, 15381, 15951?\n\"Answer: -b**3 - b**2 + 710*b + 11373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -1010111010000?\nAnswer: 1010111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 + -247. Let x = y - -37.8. Round x to 0 decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97 and 8051?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -253*x**2. Let v(b) = -b**2 + 19*b. What is v(k(d))?\nAnswer: -64009*d**4 - 4807*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 10 = -19*z. Suppose -2*d + 5*h = 3*h, 0 = -d + 3*h - z. Differentiate 69*y + 16 - 63*y + d wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*w - 4*n + 20, 3*w - n = 1. Let y(a) be the first derivative of -w + 48\/5*a**5 + 27*a + 66*a**4 - 99*a**2 + 97*a**3. Factor y(g).\nAnswer: 3*(g + 3)**2*(4*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 323.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -5. Find the common denominator of -4\/7 and ((-513)\/24)\/(-9) + g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.57 + 1965.43. Let z = l - 1995.028. Let r = z + 0.128. What is r rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 27*u - 3*u)*((0 - 1 - 2)*(3 - 2 + 0) + 2 - 4 + 3)*(-3 + 6 - 1).\nAnswer: -100*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.6559 to one dp.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uppu when four letters picked without replacement from {p: 8, u: 5}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 25816?\nAnswer: 17\/25816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 11d?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1606317t in grams?\nAnswer: 160631.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13 and 18\/27 + 316\/(-42).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-15)*0)\/2. Put t, -3, -21 in ascending order.\nAnswer: -21, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-7))\/(-1)*770\/(-1980)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 3\/34 (c) -2\/17 (d) -18 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3 = -c, -3*h + 4 = -4*c + 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 5*j**3\/6 - 13*j**2\/2 - 3*j + 424. What is b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -t + 4029, 0 = 4*t - 125*a + 130*a - 16142. List the prime factors of t.\nAnswer: 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6994, 13996, 20998?\nAnswer: 28000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 2, g: 8}. Give prob of sequence gx.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6669 = -115*x + 102*x. Let u = x + -369. What is the greatest common factor of u and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -83*s + 496. What is b(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -516 (base 8) to base 7\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 15 + (62 - 70)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 1, -0.1, -1\/125, -2\/9, 3, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**3 - 12*s**2 - 22*s + 136. Determine n(3).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z - 13. Let x be (-21)\/28 + 5\/(-4). Let j(u) = 25*u + 50*u + 44*u + 129 + 10*u. Let l(c) = x*j(c) - 21*q(c). Differentiate l(k) wrt k.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54125777 to the power of 1\/2, to the nearest integer?\nAnswer: 7357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -191 times 0.83\nAnswer: -158.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8888 + 0.4\nAnswer: 8888.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 - 27 = 7*d. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (43 - 10) - (6 + -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z - 19752 - 11235. Let q be ((-364437)\/150)\/(z*6\/15). Let h = q + -148\/313. Calculate the common denominator of -34\/27 and h.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7640 - -10749. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 279600*y**2 + 3999981840*y + 2534177194880.\nAnswer: 5*(y + 664)*(y + 27628)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5249507309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/4 - 227*g\/4 - 45\/2.\nAnswer: -(g + 45)*(5*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = 1. Let r(b) = -b**3 - b**2 + 3*b + 9. What is the remainder when r(-3) is divided by 2\/c + -3 + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 - 27)) + (-17 - (-20 - -10))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 16959456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 121 - 111 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 2:27 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/131? (a) 1\/8 (b) -84 (c) 0.5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -249\/32, 3\/11, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - w + 1. Let n be y(2). Suppose 0 = -n*b + 2*b + 8. Let p = -3 + b. Solve -4*a + 0*a = -12, -5*a = -p*k - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - (7 - (42 + -43))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25836)\/(-198) + 2\/11. Let m = 132 - b. What is the closest to 0.3 in -0.1, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) 5 (c) -2\/7 (d) 63 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*m**4 + 8 + 5 + 34*m**4 - 2*m**3 + 25*m**4 - 84*m**4 - m**2 to the form g*m**4 + s*m + v + o*m**3 + y*m**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262988 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) + (-18)\/(-30). Suppose -j + 49 = 4*l, -5*j = -r - 4. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*d - 6 = 0, z + 0*d = -2*d + 12. Suppose z*m - 40 = -2*m. Let h be (-2)\/5 + 8\/m. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, y: 2}. Give prob of picking 2 y and 1 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 20*n - 44 = -15*n, 5*s + 3*n = -6. Solve 8 = -s*y - 7, -2*h = -4*y - 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, m: 3, f: 1, w: 6}. What is prob of picking 2 w and 2 m?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55634265?\nAnswer: 3, 5, 1236317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Let y be ((6*-2)\/n)\/(-2). Factor 0*i**4 + i**4 + y*i**4 - 5*i**2 + i**2.\nAnswer: 4*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -13*f. Let l(w) = 2*w + 3*w + 3*w**2 - 5*w. Determine l(q(c)).\nAnswer: 507*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503, 395, 291, 191, 95?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 5*l - 8. Let v be q(-7). Suppose v*f + 32 = 5*f. Let o = 55 + f. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*h - 46, -v - 3*h = -35 - 10. Suppose -4*w + v = -62. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -281112 divided by -2\nAnswer: 140556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 35*k**6\/6 + k**5\/5 - 920*k**3\/3 - 358. What is the third derivative of b(p) wrt p?\nAnswer: 2100*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1888015 and 32637239.\nAnswer: 30749224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-80))\/(2\/5*(-7)\/(-42))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 9:54 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11*i**3 + 690*i**2 - 497*i - 190. Determine u(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13457, 1465 in increasing order.\nAnswer: -13457, 1, 1465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 993 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -351, -354, -357, -360, -363?\n\"Answer: -3*z - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 590756.\nAnswer: 1181512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 0, 23, -6, -2\/187, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -0*w - 27*w + 40. Is 2\/4237 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 81 = -97 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*k**3 - 435*k**3 - 1014*k**3.\nAnswer: -1144*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 511987801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -355.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -3. Suppose -4 = 10*v - 4. Which is the closest to v? (a) z (b) -0.5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -45?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67418.27cm in micrometers?\nAnswer: 674182700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 21869.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/18 and -70\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 4:54 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/120)\/(4\/20).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.5977766 months?\nAnswer: 0.13314805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1902 + 1906. Suppose 3*m + m + 64 = -5*r, 0 = 3*m - r + 29. Let q = -4 - m. Solve 2*l - u = 4*t, 4*l + 3*t = -q + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 21*n**2 - 36*n - 33. Let b be l(19). Suppose -80 = -4*c + 2*q, -5*c + 9 = -b*q - 91. What is the remainder when 76 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5610550 is divided by 604.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -185.06.\nAnswer: -370.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c - -22a3a?\nAnswer: 22a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and -428\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230526 is divided by 124?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 600384.6t?\nAnswer: 600384600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2 + 714*q + 42483 = 0?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(14\/5))**8*(d**6)**(-38) assuming d is positive.\nAnswer: d**(-1212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 + (-292)\/(-30) + -3)*-3. What is the second biggest value in -4, z, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2321 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209 and 66326.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 263.1 and -371.\nAnswer: -97610.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2202?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -41*w**7\/840 + 121*w**4\/12 + 7*w**3\/3 + 12*w - 228. Let h(k) be the third derivative of y(k). Differentiate h(b) wrt b.\nAnswer: -123*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 8:19 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-14) + 33612\/78820. Let j = s + 199961\/45040. Let l = -11281 + 112899\/10. What is the common denominator of j and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*l - 2, 4 = 2*l - 3*k - 9. Factor l*g + 4*g**3 - 5*g**3 - g**3.\nAnswer: -2*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 7578377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(2112\/495 - 2\/(-6)). Solve d - 7 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139335.1g in tonnes?\nAnswer: 0.1393351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = k - 0*k. Let d = 147729\/8 + -36635\/2. Let z = k - d. What is the third smallest value in -1\/6, -1\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(2*j + 2*j - 3*j) + (7*j - 19 - 34 - 6*j)*(-2 - 6 - 2))*(-3*j + 2*j + 2*j).\nAnswer: -9*j**2 + 530*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(637) + 3)**2.\nAnswer: 42*sqrt(13) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1839?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 465100 to the nearest ten thousand.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/((-432)\/32)*(-5 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/54 - -1\/54. Let v(h) = 3*h**2 - 2*h + 1. Let r be v(1). Factor -j - 8\/9*c**r + 8\/9*c.\nAnswer: -2*(2*c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -23. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 431*s + 2654. Determine n(-6).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 140*p - 2192. Calculate m(-17).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -49, -23049, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 4. Let m(a) = 22 + 20 - 18 - 20 - 18 - a. Determine m(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-36)\/(-243) - 53083\/30411?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 9:27 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(10\/19)*d)\/(d\/(d**(-6\/19)\/d)) assuming d is positive.\nAnswer: d**(-15\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-294)\/441*1563\/(-2) is divided by 348?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81470 divided by -3\nAnswer: 81470\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -9. Let j be (0 - 4)*(-1)\/2. Suppose s + 3 = j*s. Solve -2*q = s*y - z, 0*q + 12 = 2*q + 2*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjzq. Give prob of picking 1 q and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -42. Let h(w) = 2*w**2 + 3*w. Let b be h(-2). Suppose -3*a = -b*a - x. Calculate the greatest common factor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -84*q**3 - 90*q**3 + 256*q**3 - 26 - 2*q**2 - 83*q**3 + 3*q**2. Give s(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -61. Let c = -23\/3 - -181\/24. Let z = c + -3\/40. What is the second smallest value in 2\/21, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*c + 30, n = 4*c + 36 - 8. Suppose -m = 3*p - 16 + 6, p = -5*m - n. What is the units digit of (4\/p)\/((-6)\/(-195))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-8))\/(1\/(-16)). Solve 0 = p*v + y - 3, 9*y - 15 = 4*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -170, -999, -3020, -6767, -12774, -21575?\n\"Answer: -89*u**3 - 62*u**2 - 20*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*v - 20, 0*v = -4*s + 4*v + 28. Solve s*h - h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2141 is divided by 365.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -240, -803, -1890, -3675, -6332, -10035?\n\"Answer: -29*o**3 - o**2 - 7*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a69a95 + 5?\nAnswer: -3a69a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r - 4 = 0. Let z(u) = 2*u + 2. Let c be z(r). Solve 5*h - 16 = -2*k, k + 4*h - c = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531857 is divided by 484?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-15 - -3) - (-21 - -34)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/16 + 8056\/(-574). Let r = -10\/287 - u. Let k = -5\/86 - 4361\/430. Calculate the common denominator of k and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/6 + 14\/(-42). Let a(p) = 6*p + 12. Let n be a(r). What is the highest common factor of n and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-3) + -1276 + 1279. Factor -14\/3*r + o*r**3 + 0 - 4*r**2.\nAnswer: 2*r*(r - 7)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6511 - 6511.000008579. What is j rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242 (base 6) to base 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 2\/23 (c) 3 (d) 0.015 (e) 4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**4\/12 - 5*i**3\/6 - i**2. Let l be ((1 + -3)*5)\/2. Let a be m(l). Solve -5*o - 2 = -y, a*y - o = -0*o + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-140))\/(32\/5).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, -0.5, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -955.027, -2, 0.2 in ascending order.\nAnswer: -955.027, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 75 = 15*z - 149. What is the remainder when 48 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2911333 + 1461833. What is n rounded to the nearest 10000?\nAnswer: -1450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2. Let t = -9 + 12. Let x = 4 + -2. Let l(c) = t*c**x + c**2 - 5*c**2. Give l(k(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 38*o**2 + 34*o + 116. Let f be z(37). Solve 0 = 4*w + 20, 3*p + w - f + 16 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1026, -2040, -3058, -4080, -5106, -6136?\nAnswer: -7170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -112569.27 * -6\nAnswer: 675415.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-1 - (1 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -2\/7 (b) 1 (c) -0.4 (d) 5 (e) 17656\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.05 + 0.99. Let l = x + 6. Let i = l + -0.34. What is the biggest value in i, -1, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -16*n**2 + 5*n + 5. Let w(j) = 47*j**2 - 14*j - 14. Determine 11*k(u) + 4*w(u).\nAnswer: 12*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -18*l - 16. Let j be f(-7). What is the highest common factor of 44 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 3*g**2 - 4*g**2 + (4 - 2*g - 4)*(g + 3*g - 6*g) - 11*g - 10*g**2 + 11*g - 218*g**2 - 2665 + 2665 as l*g + k + t*g**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 + 245\/42. Let j(y) = y**2 - 7*y + 9. Let h be j(6). Is x bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + q - q)*(-q + 6 + 2*q - 5)*(-1 + 3*q + 1)*(-55 + 108 - 58) in the form b*q**3 + i + h*q + k*q**2 and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 426 - 349. Let l(z) = -5*z + 35. What is l(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x + 0*x + 0*x)*(1 - 4 + 0) + 3*x + 3*x - 7*x + 1 - x - 1)*(4*x - x + x).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -19*x**2 + 3*x - 3. Let f(a) = -20*a**2 + 4*a - 4. Let m(k) = 3*f(k) - 4*i(k). Let h(j) = -3*j. Determine h(m(q)).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.508 + -0.608. Let g = -30 + 34. Sort m, -5, -3\/5, g.\nAnswer: -5, -3\/5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278 divided by 2.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 at most 1964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2271370 (base 9) to base 5\nAnswer: -303243232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1827953429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = 11*b - 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -m + 3, 6636*l + 39 = 5*m + 6635*l for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 3*j**2 - 148*j**3 - 294*j**3.\nAnswer: -442*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.6 + -20. Let v = l - -0.9. Sort 3, v, 4 in descending order.\nAnswer: 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 60 = 2*n. Let x be (-11)\/11 - (-18 - -1). Let z = n + x. Is z < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 33*c**2 - 41*c**2 + 4*c**3 + 105*c**2 - 31*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*t**2 - 11*t**2 - 3 + 18*t**2 as f + d*t**2 + q*t and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**2 + 31756*y - 29036304 = 0.\nAnswer: -8767, 828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -255619*m - 766863. Give l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65.54 - 26.54. Which is the fifth biggest value? (a) 0.5 (b) 1 (c) -2\/15 (d) n (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 18. Suppose i - r = -1. Suppose z - u - i = -2*z, 4*z + 4*u - 32 = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914583733.\nAnswer: 7, 359, 363941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*b + 2*t + 4, -b - 2*t = -10. Let v be (((-9)\/b)\/(-3))\/(1\/2). Is 16 a factor of (v + 3)\/(9\/252)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3641788, -7283578, -10925368?\nAnswer: -14567158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2852 and -115\/28.\nAnswer: 19964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 165 = 15*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3 = h + b, -h - 3*b = -7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aarr when four letters picked without replacement from arrraaaarrrar.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 1 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 88. Let a = w + 10. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6157603084 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -2224, -4069, -5914, -7759, -9604?\nAnswer: -11449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 286236 + -5?\nAnswer: 286231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 31*t + 141. Let n(z) = -276*z + 2. Give o(n(j)).\nAnswer: -8556*j + 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 227967938 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5881*i. Let k(l) = -624*l**2. Give w(k(u)).\nAnswer: -3669744*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, p: 1, n: 2, k: 9, g: 6}. What is prob of picking 1 n, 1 g, and 1 r?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 38924, -4, -1\/4 in increasing order.\nAnswer: -4, -1\/4, 38924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2786*a*p**3 + a*p - p + 2327 wrt p.\nAnswer: 16716*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 58, 30, -1\/4557?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -307, -1857, -5989, -13993, -27159?\n\"Answer: -215*p**3 - p**2 - 42*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1224 + 2214. Let j be g\/2060 - (-1)\/(-2). Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -114122330223?\nAnswer: 114122330221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-10)\/4)\/5)\/(-1). Let k = 2 + -3. Let j be 1\/(-1)*k*1. Is j at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69484?\nAnswer: 2, 29, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 20 - 2106409*t + 1053140*t + 1053269*t.\nAnswer: 3*t**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/823 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 382 + -385.9. What is the biggest value in -5, -4\/3, b?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 537067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582681937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (204\/16)\/3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16\/7, -10, -390?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5493563145.\nAnswer: 3, 5, 7, 41, 425363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 264611163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(5\/2)))\/p**(2\/13))\/(p**(-4)\/(p*p**(-7)))*p\/p**8*(p*p**(-3))\/p*((p*(p*p**(1\/2)*p*p)\/p)\/p)**(-2\/3) assuming p is positive.\nAnswer: p**(-883\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 - 7) - 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 59922996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 408*b**2 + 283*b - 142*b - 141*b as z*b + o + q*b**2 and give q.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 6*h + h + 43*h**2 - 50*h**2 + 24*h**3.\nAnswer: 24*h**3 - 7*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -1. Let g(f) = 3*f**2 - 6 + 2*f - 4*f**2 + 0*f**2. Let c(h) = h**2 - 3*h + 6. Let q(v) = -5*c(v) - 4*g(v). Calculate q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 151575, 303157, 454741, 606327, 757915, 909505, 1061097?\n\"Answer: b**2 + 151579*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9190 - 3?\nAnswer: -9193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/167 - -2325\/2338. What is the common denominator of 89\/6 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 0.4, -3\/4, -0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3*2*sqrt(52) + sqrt(52) + (sqrt(208) + sqrt(52))*1 + sqrt(416)\/(sqrt(32)\/(sqrt(16)\/sqrt(4))))*-2)**2 + 5.\nAnswer: 16*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276 divided by -2.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114552?\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x**2 - 3*x**2 - 3 - 4*x**3 + 2*x**3. What is the least common multiple of j(-5) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 17. What is the smallest value in -4\/9, c, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/19*1\/(-2). Let s(f) = 2*f - 13. Let j(a) = -3*a - 35. Let y be j(-14). Let m be s(y). Is b < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55945 divided by 2074?\nAnswer: -55945\/2074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 1. Let d(v) = -2*v**2 - 14*v - 12. Let o(j) = j**3 - 3*j**2 - j + 4. Let k be o(3). Let x(a) = k*d(a) + 12*u(a). Factor x(b).\nAnswer: -2*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - r + 1. What is the units digit of p(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*f + m - 28, 0 = -m + 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Suppose 0 = h - 2*h - 4, 24 = c - 2*h. Let x(w) = -c + 3 + 13 + 3*w**2. What is y(x(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 - 31 = -21*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -11, 2\/11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10172 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -400175 (base 8) in base 15?\nAnswer: -28d17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 15) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (732\/16)\/((4\/(-6))\/(8288\/9324))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 639*m - 6293. Determine d(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 7*y**2 + 7*y - 5. Suppose j = -3 - 1. Let g be k(j). Solve -2*l + 7 - g = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 43*k**3 + 35*k**2 - 3*k + 10. Let q be f(4). Suppose 0 = 305*w - 300*w - q. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (6 - (-1 - -4 - -5 - -5))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*q + 2468 - 882 = -10921 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 184555 divided by 5\nAnswer: 36911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 75 + 3. Let a(h) = h**3 + 12*h**2 - 14*h + 14. What is the remainder when 51 is divided by a(l)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481640041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35.7 (b) -607\/4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33408921 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -951*p**3 + 62*p**2 + 74964*p?\nAnswer: -5706*p + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-12 + 0) - 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiit when four letters picked without replacement from btiiibtbii.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*m + 168 = 17. Let a = 8.5 + 1.5. Sort m, a, -0.3, -2\/9.\nAnswer: m, -0.3, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(543 + 22*b - 543) + (0*b - 2*b + 5*b)*(6 - 2 - 2).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 4*x**2 + 2. Let h be k(-4). Let o(t) = -t**3 + 5*t**2 - 2*t + 2. What is the smallest common multiple of o(h) and (1 - -1)*-11*-1?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -24*l - 216. Let u be o(-9). Suppose u = 178*n - 170*n - 168. What is the highest common factor of 777 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j - 37 + 23 - j**2 + 31. Let c be t(-8). Let u(f) = -14*f - 11. List the prime factors of u(c).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from wbxhbjjxxwbhj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/((-270)\/(-24)) - (-44)\/20. Let m be h\/(99\/50) + (-12)\/66. Which is the closest to m? (a) 0.5 (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699 + 2042 = -331*g - 1231 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 3)*(-14*u + 1067 - 1067 + (-2 + 0 + 1)*(-2*u - 2*u + 7*u)).\nAnswer: -51*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*y = -0*u + 555, 4*u + 2*y = 438. Let m = u + -102. 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: Is 64123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-145)\/(-25) + -5)\/(4\/(-10)). Let h(m) = 260*m - 20. Let f be h(6). Is 1\/1 + f - n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000038193713 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 37, 58, 79, 100?\n\"Answer: 21*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10968, -11307, -12006, -13245, -15204, -18063, -22002, -27201?\n\"Answer: -30*o**3 - 129*o - 10809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 905, -11, 0.0541?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67*5 - (-12 + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = n - 5. What is the least common multiple of 32 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24300 by -1215.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58.54 + 59. Let m = -1.54 - y. Let z = 9.5 + -9. What is the closest to 2 in m, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2198\/11 - 198. Is b smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 33*o**2 + 242*o - 24. Give g(-22).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23350, -46702, -70054?\n\"Answer: -23352*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(((n*n**(-2\/3))\/n)\/n)*n))**26*(n**5)**(-3) assuming n is positive.\nAnswer: n**(-175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(5 + (-334)\/68). Let l be (-60)\/(-2) + 8\/2. Calculate the greatest common divisor of l and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**4 + h - 1. Let c(x) = 13*x**5 + 2*x**4 + 7*x**2 - 2*x + 2. Let g(w) = -2*b(w) - c(w). Find the third derivative of g(v) wrt v.\nAnswer: -780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*r**2 - 4)*(0*r + 3*r - 2*r) + (2 + 0 - 3)*(-r**2 + r**2 + r**3) + 8 - 10*r**3 - 8.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246760?\nAnswer: 2, 5, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110918 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 953, 1827, 2701?\nAnswer: 3575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 - 166 = -x - 5*c, -c - 875 = -2*x. Let z = x + -431. Solve -3 = z*k - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30612 - 18659. Suppose -u = 6*r - 48667. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(17) + (sqrt(2448) + 0 - sqrt(2448)))**2 + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2. Let k be d(2). Suppose 0*s + 4*s - 3*c = 17, -4*s + 5*c = -15. What is the remainder when s is divided by k - (2 + -3 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -20. Suppose w - 12 + 6 = a. Let j = 24 - w. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 844*h**3*q**3 + 7*h**2*q**3 - 7*h*q**3 wrt h?\nAnswer: 5064*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -227614 (base 9) in base 4?\nAnswer: -201121312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (434*(-4)\/(-56))\/(2\/22). Which is the biggest value? (a) h (b) 1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 400*p + 31*p**2 - 400*p in the form v + k*p**2 + q*p and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 5:06 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17096540 by -4.\nAnswer: -4274135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 786*(-602)\/78848 - -6. Is b > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -91*h - 1. Let x be p(-1). Suppose 4*l + 3*v + 48 = -v, 5*l - v = -x. Let t = l + 37. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(15)\/sqrt(3)) - (sqrt(5) + (sqrt(35)\/sqrt(63) - sqrt(5))))**2*5*-2.\nAnswer: -200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.074, 4?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/6))**(-11\/2)\/(p**4)**(-14) assuming p is positive.\nAnswer: p**(617\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7511 > -7509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 866206032.3623?\nAnswer: -866206032.0623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14104, 14738, 15756, 17158, 18944, 21114?\n\"Answer: 192*f**2 + 58*f + 13854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53623 (base 8) to base 6.\nAnswer: -251443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s + 939. Let v be d(50). What is the greatest common factor of 98 and v?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 591.7535l?\nAnswer: 591753.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2\/5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from ggrggrwwrggrwggw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4 - 37140*j**3 + 17708184*j**2 + 107251668*j + 161378730 = 0.\nAnswer: -19035, -3, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**4 + g**3 - g**2 + 2. Let p(n) = -n**5 - n**4 + 8*n**3 - 6*n**2 - 8*n + 4. Let i(o) = -5*p(o) + 10*u(o). What is t in i(t) = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 14.3. Let f = h + 18. Which is the closest to -1? (a) 3 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 11 + 0*c + 1\/2*c**2. Let y be d(2). Calculate the highest common factor of y and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 987 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/5)\/(2\/(-10)). Is z less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-38) - 35045\/95. Let i = q + 373. Calculate the smallest common multiple of i and 95.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 38901?\nAnswer: 2\/38901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139086 and 10242.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 6 = -11*c. Solve -g = 5*z + 12, z + c*z = -g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 z when three letters picked without replacement from tztmnbttzmmtttm?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 51780*d + 103544.\nAnswer: 4*(d + 2)*(d + 12943)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 54 = 40*i + 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 272.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from apaarovfa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 - 6*q**3 + 2*q**2 + 1 - q**2. Suppose 0 = -d + 3*d - 12. Let t = d + -5. What is x(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -110, 163, -1, 4.\nAnswer: -110, -9, -1, 4, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1051, -1064, -1087, -1126, -1187?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -106*o - 2111. Determine z(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 1 + 3 + 6*w. Let u be 1\/3 - 30\/9. Let s be q(u). Which is the third smallest value? (a) 4 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 11*f = 108. Suppose g = f + 449. Suppose -6*i + 265 = -g. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131 - -157. Let l be (-1)\/(-3) - 76\/(-6). Let o = v - l. Solve -3*b + s - o = 0, -b + s + 0*s = 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 10422 = 10512 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3 - 415*f**2*m + f*m + 2*f - 156*m wrt f?\nAnswer: -6*f - 830*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 23336 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-0.9.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-161)\/(-23184)*-48)\/((-2)\/(-366)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 22 = -t. What is the remainder when 19 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 810 = 5*y + 100. Suppose 2*f + y = 5*c, c + 5*f + 89 = 4*c. Calculate the remainder when 27 is divided by (c\/(-10))\/(4\/(-20)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqewwjwerqwqrwrj. What is prob of picking 1 w and 1 r?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 5, a: 9}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*p - 8. Let d = -9 - p. Do d and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*o = 163758015, 0 = -19*l + 21*l + 2*o + 163757994. What is l rounded to the nearest 1000000?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 13*q**2 + 18*q + 20. Is g(14) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llniiimlqimn. Give prob of picking 1 q, 1 m, and 1 l.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1755 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -3*r + 216. Let k be 75\/10*(-48)\/r. Which is greater: -11 or k?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1076.00001029 - -1076. What is i rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29967, -29902, -29837, -29772?\nAnswer: -29707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -11*m - 65. Let d(f) = -17*f - 131. Calculate 3*d(g) - 5*p(g).\nAnswer: 4*g - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 - (-2 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 8*v + 2. Let n be j(8). Suppose 23 + 39 = n*q. Let m = -476 + 535. What is the remainder when m is divided by q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5))**(1\/26) assuming r is positive.\nAnswer: r**(-5\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -15. Suppose t - 5*t = 28. Let b = o - t. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292160 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 6*h**2 - 14*h - 45. Let f be n(-7). Solve 3*g - 2*d = -5, 4*d = -g - f*g - 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019423 rounded to seven decimal places?\nAnswer: -0.0000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1378060, -2756140, -4134238, -5512348, -6890464, -8268580, -9646690?\nAnswer: -11024788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-2) - 2\/(-2). Suppose -5*g = -27 + 2. Suppose 10*n - g*n - 45 = 0. Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*r**2 - 51*r**2 - 155*r**2.\nAnswer: -393*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -471.1 and -0.62.\nAnswer: 292.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3202 divide 856935250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81 - 19*i**2 - 81 + (-2 + 2 - 3*i**2)*(2 + 0 + 0) - i**2 + 8 + 2*i**2 - 78.\nAnswer: -24*i**2 - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 120\/7, 36, -7.62?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*i - 7 = -6*t, 5*i + 8 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 113535564 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 4681 - 4823 + 2948 - 5576.\nAnswer: -v - 12132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 + -7. Let u = q - -7. Let s = -0.6 + u. Which is the second smallest value? (a) 1\/7 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-2\/11)))**(3\/2)*(c**(-2))**(-11))**(-2\/39) assuming c is positive.\nAnswer: c**(-490\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 13*w**2 + 2*w**4 + 0 + 2\/105*w**7 - 16\/3*w**3 + 23\/30*w**5 - 1\/4*w**6 + 0*w. Factor t(i).\nAnswer: 2*(i - 4)**2*(i + 1)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 197, 208, 221, 236, 253?\n\"Answer: b**2 + 8*b + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j + 2*j)*(4 - 5 + 2)*(5*j - 4*j + 0*j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 30 + 0 = 0. Let s be (-55 - (j + 1))\/(-1). Suppose 5*l - 44 = s. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6517*f + 394020 + 54330 = 2247*f for f.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336209, -672409, -1008601, -1344785, -1680961, -2017129?\nAnswer: -2353289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.8065 rounded to one decimal place?\nAnswer: 21.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -0.5, 2\/11, -808\/5 in increasing order.\nAnswer: -808\/5, -0.5, 2\/11, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 33+-154901.54893361\nAnswer: -154868.54893361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145463736 and 3608?\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26898\/25 + -81689076\/75925. Let f = k - -142289\/227775. Let h = f - -1\/25. Which is the closest to 0? (a) h (b) 0.6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11000010101101011?\nAnswer: 11000010101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 709*q**2 + 1 - 3.\nAnswer: -709*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37154.17g in nanograms?\nAnswer: 37154170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4526 + 1908. Suppose -y + 1775 + h = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15039 (base 10) to base 13\nAnswer: -6acb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109179381167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 7.93. Let r = f - 0.03. Let y = 0.9 - r. Which is the nearest to y? (a) -0.4 (b) 3\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4862 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/47 (b) -1.62 (c) -3\/8 (d) 2\/13 (e) -4 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3339)\/4823)\/((-9)\/156).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283578 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43555100 and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 13*l**2 - 10*l + 5. Let i(w) = -84*w**2 + 64*w - 32. Let g(b) = 5*i(b) + 32*p(b). Let k(j) = -4*j**2 + 3*j. Give k(g(a)).\nAnswer: -64*a**4 - 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9555? (a) 82.6 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 642083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 - (-2 + 6 + 0). Solve -9*n + 2*n - i = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbu when three letters picked without replacement from {b: 2, u: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4 = -1. Solve -t + 10 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 21 - 29 = 3*i, 3*t + 3*i - 6 = 0. Solve -t = 3*u - 2*y, -5*u = -5*y - 8 + 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*1*sqrt(80) + 2)*1.\nAnswer: -80*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 - ((-6)\/(-3) + 1). Let z be (-4)\/(-6)*(-4)\/((-176)\/j). Put -0.4, -0.9, -2, z in decreasing order.\nAnswer: z, -0.4, -0.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*l - 3*r = 99*l - 23, 4*r = 3*l - 8. Solve -z = 0, -c + 5*z = -l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3 - 1998*l**2 - 81608*l + 668472 = 0.\nAnswer: -46, 7, 1038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11305 - -1040?\nAnswer: -10225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 221*f + 770. Calculate x(-4).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 34*j - 82. What is the smallest common multiple of 10 and t(29)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -244, -534, -844, -1186, -1572, -2014?\n\"Answer: -2*j**3 + 2*j**2 - 282*j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8116*j + 2137. Is c(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*k - 10*h**3 + 137*h**2*k - 10569*h*k wrt h?\nAnswer: 12*h*k - 60*h + 274*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*o - o + 2, -a = -5*o - 6. Let y(k) = k**3 + 3*k**2 + 4*k + 5. Calculate y(a).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1345 - 815. Suppose -i*p = -535*p + 2520. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 2570480?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -242*t + 11. Let u be j(-4). Suppose 0*m - 11*m = -u. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 14*n. Let z = 4554 + -4553. Solve -o + 2 = j - z, 5*o - 25 = n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.08, 4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 2*m - 2. Let l be w(-3). Suppose 2*j = j - l. Put 0, j, 5 in descending order.\nAnswer: 5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - sqrt(1700)*-2)**2*-3 + -1*sqrt(17)*-6 + ((sqrt(170)*-2)\/sqrt(10) - sqrt(17)).\nAnswer: -45900 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t - 3. Let s = -315 + 320. Suppose 5*r + 2*g = -34, -r - 10 - 6 = s*g. Give h(r).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 6*n + 4. Let f be l(-6). Suppose 4*z - 1964 = -f*k + 300, 566 = z + 4*k. Suppose -349 = -3*r + z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6790\/60 - -9 - (-2)\/(-12). Let n = 28 + z. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 18*y + 34. Let l be b(16). Suppose -4*r + 3*h = -16, 3*r - 2*r = -l*h + 15. What is the least common multiple of r and (28\/16)\/(2\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1511591*(-37 - (-1 - 3)). Let a = p - -95082503. What is a rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6856 (base 9) in base 10?\nAnswer: -5073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 192628 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 27849504*w - 48474679565376.\nAnswer: -4*(w - 3481188)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0266 in 5, -1\/48, -1\/203, -0.5, 2\/5?\nAnswer: -1\/203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 269511.\nAnswer: 539022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69142 + -69139. Factor 84*p - 18 - 27\/2*p**r - 21\/2*p**2.\nAnswer: -3*(p - 2)*(p + 3)*(9*p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -546677*c**5 + 480930*c.\nAnswer: -10933540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, 1\/3, 3 in decreasing order.\nAnswer: 3, 1\/3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*t + 2*t - 10 = 0, -4*w + 5*t = 12. Suppose -38 = w*l + 44. Let o = l - -135. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0 + 5 + g**2 - 2 + g + g. Let j be z(-2). Suppose 6*a = 2*a - 5*m + 69, -j*a + 69 = -2*m. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1) + 0 + 29. Suppose t = 3*i - 4*q - 95, -196 = -5*i - 4*q. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 4 (b) 3\/8 (c) 1\/4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 12:47 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 23*k**2 + 0*k - 2*k - 2 + 22*k**2. What is r(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/27 and 79\/206864016.\nAnswer: 1861776144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 0 - 4)\/(-7 + 5). Suppose m = -5*x - v + 125, -x + 4*v - 92 = -4*x. Let x*h**3 + 30*h**2 + 12*h + 3\/2 = 0. What is h?\nAnswer: -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 7 = -2*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65433*w**3 + 116*w**2 + 15558127?\nAnswer: -196299*w**2 + 232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -21, -96, -213, -372, -573?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h = 0. Let i(v) = v - 36. Let j be i(38). Suppose h = 2*l + 10, j*l - 33 = -2*n + 7*l. Solve -2*q + 7 + 9 = n*t, 2*t = 3*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2071 and 630.\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from vvvvxxssx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-2))\/(-1)*(-117)\/(637065\/55)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*z - 12 = 0, -2*z + 2 = 2*c - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -20be?\nAnswer: 20bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -i - 4*q, 3*q + 34 = -2*i + 8*q. Find the common denominator of 53\/16 and (i\/(-16))\/(9\/(-228)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-141)\/(-564))\/((-1)\/60).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13\/4 + 47\/12. Factor 0*q**2 + 0 - 2\/3*q + y*q**3.\nAnswer: 2*q*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/2 + 7*l**2\/2 + l. What is the derivative of y(p) wrt p?\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpg when three letters picked without replacement from pvvpwpggvpppevpv?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 2:57 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003244 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 - 1)\/(8\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1800 - 1810 + 2*n**2 + 3*n**2 as c + l*n + i*n**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 1. Let f be 2\/x*(0 + -1). Let t(s) = 7*s**3 - s**2 + s - 1. What are the prime factors of t(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3)*48\/32.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 - 3*m**2 + 6 - 6 + 2 - 1.\nAnswer: -3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2312*r**2\/7 + 18308*r\/7 + 15996\/7.\nAnswer: 4*(r + 1)*(578*r + 3999)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.33 + 0.18. Let x = 0.1500017 + b. What is x rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1940?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -558 + 553.91. Let r = -7.08 - d. Let q = 0.01 - r. What is the closest to -2\/5 in q, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -90, -63, -38, -21, -18?\n\"Answer: -h**3 + 5*h**2 + 19*h - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -52. Solve -4 = o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 818759 - 496338. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 639 + 99?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in 7595, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 73*q**2 + 222*q + 5356. Give d(-75).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -73*y - 75. Let n be r(8). What is n rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 9*f**2 + 11*f - 46. Let g be u(9). Calculate the highest common factor of g and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/224 and 133\/108.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/291649 or 1?\nAnswer: -2\/291649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 14034?\nAnswer: -14033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(((-75)\/(-15))\/(-10)*((-48)\/4)\/(-6)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1 + 3\/18 + 2. Let i(c) be the first derivative of 1\/2*c**4 - 1\/2*c**2 - c - q*c**6 + 2\/3*c**3 - 1 - 1\/5*c**5. Suppose i(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}