diff --git "a/data/dm_maths/full_data_2/1896_11255.jsonl" "b/data/dm_maths/full_data_2/1896_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1896_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u(y) = -y**3 + y**2 + y - 1. Let l(f) = -8*f**3 + 16*f**2 + 10*f - 10. Suppose -425 = -79*g + 141*g + 195. Determine g*u(n) + l(n).\nAnswer: 2*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, m: 1, u: 2, z: 1}. Give prob of sequence vv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 17 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/3? (a) -1.19 (b) -1 (c) -28406\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k + 0*k**3 + 8*k**2 - k**3 + 1 - 4. Let f be d(7). Suppose -1 = -f*o + 3. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 29*b + 8. Suppose 8*t - 10 = 3*t. Let f be g(t). Calculate the highest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*v + 8665*v = -249*v - 73*v + 852368 for v.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p + 3. Let c be x(2). Let d = -18 + c. Does 5 divide -1 + 3 + 11 + d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 0*i**2 - 3*i**2 + (4*i - 3*i + 0*i)*(2 - 2*i - 2) - 4*i**2 + 2*i**2 + 0*i**2 to p*i + h + w*i**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - s + 1, -5*z - 5*s = -2*z + 3. Suppose -z*i + 1504 = 2*v, 2*i - i = 2*v + 381. What are the prime factors of i?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 - 0) + (-6 - -2). Suppose t*a - 13*a = 0. Let c = 46 - 29. Is c less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1162 and -33\/7.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 720.8775 micrometers in nanometers?\nAnswer: 720877.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:08 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*s + 140 = -0*s, -2*s - 157 = -5*l. Calculate the least common multiple of l and ((-48)\/2)\/((-1)\/1).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4046761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3240*g + 294533. Give j(91).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 1\/10, 2, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/(-77)*28\/8. Put v, -48, -1 in descending order.\nAnswer: v, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -289 + -3?\nAnswer: -28c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -3764?\nAnswer: -3762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 34\/5, 2, -0.2, -299, 3, -3.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, 156 in increasing order.\nAnswer: 5, 10, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/5)\/((-6)\/(-20)*-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -3*k - 10. Solve k*b + 5*b + 28 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 - -395703771161?\nAnswer: 395703771160.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + -30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 10*d + 15. Let i be m(11). What is the third smallest value in 0.1, 1\/9, i, 36?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(8\/3)*((k*k*((k*k**12\/k*k*k)\/k)\/k*k)\/k)\/k*k*k**(7\/5)\/k*k*k**(1\/18) assuming k is positive.\nAnswer: k**(1631\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, 0.03, -18797 in increasing order.\nAnswer: -18797, 0.03, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + y - t - 50, -2*t = -3*y + 145. Suppose a + y = 3*h + 11, -4*h - 3*a + 28 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 26941602 = j, 25*q - 28*q + 20206210 = 5*j. Round q to the nearest 10000.\nAnswer: 6740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 78\/11, -9, -1\/4 in ascending order.\nAnswer: -9, -1\/4, 1, 78\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 14 = f, -2*f - 6 = -0*f - 3*a. Let u = -4 - f. Suppose 2*q - 5*v - 64 = 0, -7*v = -q - u*v + 27. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 5*q + 5. Let a be g(3). Let b(s) = -6*s - 2. Let o be b(a). Find the first derivative of -1 - 4 - 3*d**4 + 3 + 10*d**o wrt d.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*j + 2 = 0, 4*z + 6*j = j. Suppose -d - 2*l + 35 = -z, d + l = 35. Round d to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/19 + 15\/76. Let z = 12\/83 + 3651\/581. Let m = z - 391\/63. Which is bigger: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c. Let q = -2.4 - -2.8. Sort q, 2, c in ascending order.\nAnswer: c, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255791 by 1.\nAnswer: 255791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + v - 10 = 6*v, -6 = 2*u + 3*v. Suppose -w + 9 = 2*w. Suppose 2*g = u, w*t + t - 3*g = 0. Solve t = -2*m - 3*o + 17, 5*o = -3*m - 8 + 35 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*a + 5*p, 0*a = -2*a + 5*p - 2. Solve 2*b - 10 + 34 = -a*x, 0 = -5*b - 4*x - 36 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60*h**2 - 157?\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from wmkgw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 714 and 7819098?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 42 = -4*y. Let j(p) = -3*p. Calculate j(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times 0.02087\nAnswer: -0.58436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 5. Suppose 0 = -0*l - l. Let k be s(l). Suppose 12 + 18 = k*u. What is the highest common divisor of 96 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9982 + 10012. Solve -24*q + 19*q - f = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1)*(-1040)\/(-650)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-10)\/w)**(2\/49)*((w*(w*w\/w**(3\/14))\/w)\/w)**(2\/27))**31 assuming w is positive.\nAnswer: w**(-16027\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 39142831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 8*y + 663 = 0. Let g be y\/52 + (-22)\/(-8). Suppose -38\/17*f**4 + 4\/17 + 2\/17*f**3 + 20\/17*f**5 + g*f**2 - 22\/17*f = 0. What is f?\nAnswer: -1, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llallloolaoalo. What is prob of sequence olao?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 337, 5, 2.\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -277 - -279. Let g = 18 - 10. Let q be 0\/(-11) + g\/u. Solve -q*k - 31 = 4*z - z, -2*z + 4*k = -6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)\/(j**(5\/3)\/j)*(j**0*j)**(2\/73))\/((((j\/j**(1\/4))\/j*j)\/j**(-6))\/(j*j\/((j**(-2)*j)\/j)*j**4)) assuming j is positive.\nAnswer: j**(1021\/2628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6432173 less than 11.9?\nAnswer: -6432161.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofofoooofo. What is prob of sequence fo?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4, 1 in ascending order.\nAnswer: -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441359 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*a*j**2*y + 216*a*j**2 + 90*a*j*y - 11*a*j - 2*a*y + 17*a - 81*j**2 - 1 wrt j?\nAnswer: -132*a*y + 432*a - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2008482.\nAnswer: 2, 3, 7, 17, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysn when three letters picked without replacement from {n: 1, s: 2, g: 1, y: 2, c: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*4\/24*-2. Let g be -5*-2*(k - 0). Solve 3*h - g = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -108, -105, -102, -99, -96, -93?\n\"Answer: 3*k - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 < -189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2181*f + 336512 = 258*f + 2819*f for f.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.12 - 0.12. Let k = z + -18.5. Let f be (4\/(-6))\/((-4)\/6). Which is the closest to f? (a) -0.06 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence meh when three letters picked without replacement from imooweiomiiiiho?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*c = 2*c - 13, 3*p - 4*c = -19. Calculate the lowest common multiple of 290\/30*(p - -4) and -8*4\/4*-1.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 = 3*b - 3, 5*b + 4*g - 18 = 0. Let q(u) = -6*u**2 - 1 + 8 - 6*u - 3 + u**3. Calculate the remainder when q(7) is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 39. Put 0, k, -0.4, -2\/9 in ascending order.\nAnswer: -0.4, -2\/9, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/238)\/((-43)\/((-3440)\/(-30))).\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otoo. What is prob of picking 4 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 16*q - 72 = 0. Let x be 1 - ((5 - q) + 4). Solve x*u = u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 0, -4*p + 166 = -j + 18. Suppose p = 5*a - 48. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2\/9, -119, -2\/11, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14075 (base 9) in base 12?\nAnswer: 5635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-6)\/(-3060)*5?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + (sqrt(275) - 6*(-1 + sqrt(275))))**2*-2)*4.\nAnswer: -55216 + 2000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 37. Solve g*l - 12 = -4*o, -3*l + 3*o + 1 = 4*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 226782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5911, -6, 0.2, -0.0777 in decreasing order.\nAnswer: 5911, 0.2, -0.0777, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sloooogyomo. What is prob of picking 1 s and 1 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54355 - -3?\nAnswer: 54402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 0 - 300*t + 304*t + 1. Give r(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + 2*z. Let d(w) = -w**3 - 8*w**2 + 8*w + 2. Let y be d(-9). Let b(c) = -4*c**2 + 0*c - y*c - 12*c**2. Determine -2*b(o) - 11*x(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 243 in ascending order.\nAnswer: -17, 4, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*2*(-8)\/(-16). What is the greatest common divisor of s and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqbqqqqs. Give prob of sequence ss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from fiiiuiiffuiiiifuuuu.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 783 and 909.\nAnswer: 79083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 322\/1449*(-2)\/3*(0 - (-6)\/(-4)). What is g in 0*g**2 - 2\/3*g + j*g**3 + 4\/9 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.424 to zero dps.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1195129 rounded to the nearest one thousand?\nAnswer: -1195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 52 + 266 = -780 for k.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -1\/3*d**3 + 1\/720*d**6 + 0*d + 5 + 1\/60*d**5 + 0*d**2 + 1\/12*d**4. Let p(t) be the third derivative of s(t). Factor p(n).\nAnswer: (n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9*15\/(-5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 14, 26, 44, 68, 98, 134?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 367, 0.5, 4, 4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.33 - -0.356. Let m = 100.774 - 98.8. Let s = v + m. Put 3, -2\/5, 0, s in decreasing order.\nAnswer: 3, s, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -850 divided by 1.\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, 0.1, -136, 5 in decreasing order.\nAnswer: 5, 0.1, -0.2, -1, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, -9.\nAnswer: -14, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l + 18. Let n be p(-3). Suppose -2 = -2*s + 2. Let d = -10 - -11. Solve n*a + s = -d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1076661794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u**(11\/3)\/u)\/(u**(1\/38)\/(u**(-19)*u*u)) assuming u is positive.\nAnswer: u**(-1523\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0 + 8. Let k(b) be the first derivative of 0*b**2 + 0*b + 1\/3*b**3 - 81. Give k(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 9*z**2 - 7*z + 2. Suppose -20*y + 5*y = -120. Calculate x(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/61 - 2227\/244. What is the common denominator of (-261)\/15*(-15)\/(-48) + 0 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -0.14, 1, 1\/9, -1\/5 in increasing order.\nAnswer: -1\/5, -0.14, 1\/9, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 2:28 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (7 - 308\/(-99))\/(4\/(-6)) and -39\/46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -22*p + 471. Let r be t(21). Solve -16 = 4*h + 2*g, 0 = h + r*g - 6*g + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 0*d**2 + 0 - 4\/9*d**3 + 4*d = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -16.\nAnswer: -13\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*q**2 - 8*q + 23*q - 5*q - 14*q**2 - 34*q**2 as y*q**2 + h + j*q and give y.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*f + 4 - 18, 2*f - 5*m = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -16. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/7)*f)\/f)\/(f*(f**19*f*f)\/f*f))**(-2\/29) assuming f is positive.\nAnswer: f**(292\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*q - 5844 - 35101 = 47519. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/40 + 4\/10. Suppose k*u - 254 = -2*o, 2*o - 635 = -3*o - u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 5:17 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 648491 divided by -1\nAnswer: -648491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53969 (base 12) to base 4.\nAnswer: 122322201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(-240) - (-268)\/15. Let x be 6\/(-4) - (-81)\/y. Solve 2*f - 5 = -u, 9 = x*f - 2*u + 3*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -5, -1, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 7*f + 10. Let l be q(-4). Does 10 divide (-35)\/l*12\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -52, -74, -116, -184, -284, -422, -604?\n\"Answer: -q**3 - q**2 + 2*q - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6879 + 6879 - 3499*c**3 + 3507*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 8*d. Let y be q(-6). Suppose 1044*w = 1052*w + 3*j - 39, -4*w = -3*j - 33. Solve -10*o + w*o = y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101555*r**2 - 75721*r**2 + 164669*r**2.\nAnswer: 190503*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26952313 to the nearest integer?\nAnswer: 5192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -117\/7, 5, -24605?\nAnswer: -24605","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 18*m**2 - 12*m + 133. Let u be n(-19). Which is smaller: u or 2\/2209?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12907, -25817, -38741, -51685, -64655?\nAnswer: -77657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven fifths of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -803 = 4*y - 1045 - 910. Calculate the remainder when y is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -130\/11, 1\/7, 5857, 1\/4 in ascending order.\nAnswer: -130\/11, 1\/7, 1\/4, 5857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.8 + -42. Let n be -1*-6*3\/(-30). Let p = -1\/4 - -3\/4. Sort p, w, n in decreasing order.\nAnswer: p, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(80) - (((sqrt(15)\/sqrt(3) - sqrt(5)) + sqrt(5))**2 + 1)) + -2.\nAnswer: -11 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + -3.01. Let u = 4 - v. Let t = u - 8.2. What is t rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 3*x + 4*x)*(0*x - 2*x + 3*x) - 4*x**2 + 7 - 12 + 13.\nAnswer: -6*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + 6*(0 + -5*((-2 + sqrt(396) - sqrt(396)) + sqrt(396))) + 2)*5.\nAnswer: -900*sqrt(11) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 4*d**2 + d - 3. Let s be n(2). Does -1\/4 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 12 + 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(28)*-3 - sqrt(28) - sqrt(28))\/(4*sqrt(4)*-3 + sqrt(4)) - ((1*sqrt(6776))\/(sqrt(200)*-2) + -4).\nAnswer: 4 + 261*sqrt(7)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -81*-0.02576\nAnswer: 2.08656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:59 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*h - 206548, -5*z - 33*h + 30*h + 258173 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-45)*2\/(-5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7340.7505901 - 0.2\nAnswer: -7340.9505901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324, -401, -526, -699, -920, -1189, -1506?\nAnswer: -1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 5*a**2 - 4*a + 8. Let q = -22 - -16. Let x be f(q). Let i(p) = 5309 - 15976 + 3*p + 5339 + 5332. Calculate i(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -3.1 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-1 + (-1316)\/(-1308)). Let c = -467 - l. Suppose -3*k - 5*v + c = 0, -7 = 2*v - 5. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 86, 208, 388, 632, 946?\nAnswer: 1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/12)\/(1\/(-168)). Let n = 135 - b. Let f be n\/15 - (-4)\/(-10). Solve -30 = 5*t + 4*w, f*w - w + 6 = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16\/39191, 2\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 3 (c) -2\/15 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 940179, 1880317, 2820455, 3760593?\n\"Answer: 940138*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5, -8 = -4*f + 4*x + 24. Let w = 215451\/22 + -9791. Calculate the common denominator of w and f\/1 + (-427)\/126.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 19283 (b) -26 (c) -1\/4 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7523268 divided by -1880817.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmb when three letters picked without replacement from mbmbmmmmfmmfm.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o + 10 = 27*o. Solve 3*d = 5*d + o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5 + 34 = 0. Let v(f) = f**3 - 5*f**2 - 6*f + 9. Suppose -3*a - 7 = -4*a. Let h be v(a). Calculate the greatest common factor of h and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/10628 and 73\/10?\nAnswer: 53140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 0.35 (c) -4\/5 (d) -5 (e) -23 (f) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23612450 and 6.\nAnswer: 70837350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 6:23 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x. Let w(l) = l**2 + 8*l. Let r be w(-8). Suppose -1 = -2*q + 3, 0 = 3*o - 2*q - 2. Let m(n) = -o*n - n + r*n. Give j(m(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2955700 + 23*r - 1477848 - 1477854.\nAnswer: 23*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*9\/6)\/(11\/(-88)*-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14598362, -29196722, -43795082, -58393442, -72991802?\n\"Answer: -14598360*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 1033?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85244839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210711 by -1543.\nAnswer: 210711\/1543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3438 is divided by 843.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 849864 divided by 12\nAnswer: 70822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-3*1)\/sqrt(12) + -3.\nAnswer: -3*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 322784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/3)\/((4 + -10)\/(-108)). Suppose -4*f + 3*j = -f + 12, 4*j + y = -4*f. Put 4, f, 0, 5 in decreasing order.\nAnswer: 5, 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5358 + 5420 - (0 + 9).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + a + 5)*((0 + 1 + 1)*(-2*a + a - a) - 29*a - 16*a + 2*a) to the form b*a + u + t*a**2 and give t.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, k: 1, r: 9, a: 2}. Give prob of sequence keae.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - 13?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 23233.66 milliseconds?\nAnswer: 23233660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8796 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32451, -64905, -97363, -129825, -162291, -194761, -227235?\n\"Answer: -2*p**2 - 32448*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1 - (-20 + (59 - 32))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43287720 by 124390.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30cc9 (base 15) to base 9\nAnswer: -255260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 8:14 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 + 6.1. Let z = -1.8 + 2. What is the nearest to z in 4, -5, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -73\/4 (c) 1418 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*r + 28 = 142, 0 = -2*h - 3*r + 42. Suppose -9 = m - h. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83296, 83276, 83236, 83170, 83072, 82936, 82756, 82526?\nAnswer: 82240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 + 96 = -4*o. Let k be 2 - 2 - (o + -2). Suppose -4*n = 4*l - 60, -4*n + 3*n + 2*l + 18 = 0. Calculate the greatest common divisor of n and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 - 174 = 3*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-98) - ((-165)\/63)\/5\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47\/4? (a) -3 (b) 2 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/6 of a week in minutes?\nAnswer: 89040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1 + -3.23. Let v = -10.2 + 10.63. Let h = v + y. What is the biggest value in h, -1\/4, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 2. What is o(-7)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - 1*2*sqrt(1872))**2 + ((sqrt(208) + 2 + sqrt(208))*6)**2.\nAnswer: 1152*sqrt(13) + 31968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 11) to base 12\nAnswer: -1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15848796 * -4\nAnswer: 63395184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 624540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/3))**(3\/2)*(t**(-1))**(-2) assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, k: 5, b: 2}. What is prob of sequence gk?\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3822 and 11739.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**7\/3360 + k**6\/480 - k**5\/240 + k**3\/2 + 3*k. Let c(j) be the second derivative of z(j). Let c(q) = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 2*a = 2*y + 24, -4*y + 12 = -a. Solve 0*c + c = -y*q + 25, 4*q - 3*c - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -5*a. Let i be 4\/(-1) + (4 - a). Solve 0*v = -5*v - 5*x + 20, -2*v + 4*x + 2 = i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + ((11 - -13) + -14 - (2 + 10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20807\/8916 + -1\/2972. Suppose 0*q - q = -3. Is q at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 8:36 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60, 58, 54, 48, 40, 30, 18?\n\"Answer: -l**2 + l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2375969 is divided by 174.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**5\/140 + a**4\/56 - a**3\/7 - 3*a**2. Determine l so that t(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 141*f**3 - 7*f**2 + 18*f + 7. Let y(j) = 94*j**3 - 5*j**2 + 12*j + 5. Give -5*t(l) + 7*y(l).\nAnswer: -47*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 81?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2221*i + 706. Let u be o(-2). What is the greatest common divisor of u and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50770 + 11?\nAnswer: -50759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -23 - 7*f**3 - 3\/4*f**4 - 36*f - 24*f**2. Determine a, given that j(a) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b*j*s**2 - 1243*b*j*s + 720875*j*s**4 + 8*j*s + 2*j - 44*s wrt s.\nAnswer: 14*b*j + 8650500*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 + 94. Is 0.63 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -311, -0.3, 0.3, 2 in decreasing order.\nAnswer: 2, 0.3, -0.3, -3, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -5, -4, -313, -13 in descending order.\nAnswer: 2, 1, -4, -5, -13, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gugggguguu. Give prob of picking 1 g and 3 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 8. Let h be 10*(-5 + 3)\/(-4). Suppose -h*a = -j + 5*j - 25, 0 = -j - 4*a + s. Calculate the smallest common multiple of 2 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15571.\nAnswer: 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 80072, 320286, 720640, 1281134?\n\"Answer: 80070*t**2 + 4*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/11))\/(l**17*l) assuming l is positive.\nAnswer: l**(-188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3425634 (base 8) to base 2.\nAnswer: -11100010101110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, p: 2, m: 2}. What is prob of sequence pl?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 124831*c + 1 + 107652*c + 2 as u*c + h and give u.\nAnswer: -17179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18271, -18272, -18273?\nAnswer: -18274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*w + 240534 = 239259 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -168215740 rounded to the nearest one million?\nAnswer: -168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 - 625*v + 2634. Determine g(153).\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000111118947 to 6 dps.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -14 - (-2 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6686 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 7. Let m be y(5). Let d be 0\/((-35)\/7*(-1)\/5). Suppose d = 32*j - 21*j. Solve -2*t + 10 = 0, j*t = m*n - 2*t + 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*t + 4*t + 16, -2*t = -5*y + 24. Sort y, -4, 1.\nAnswer: -4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9953 and 807.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - r - 126 + 131 = 0, -5*a + 3*r - 15 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*j**4 + 4 - 82*j**4 + 40*j**4 - 5 + 3*j**3 to h*j**3 + c + u*j**2 + w*j**4 + q*j and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1455)\/6*2\/(-5). What are the prime factors of 23\/2*4850\/l?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2109 and 871?\nAnswer: -1836939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*r = -118*r + 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/(12\/9). Let m = -11.08 + 0.08. Let w = 8 + m. Sort w, a, 3 in ascending order.\nAnswer: w, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2 (b) -87 (c) 0.049 (d) -3 (e) -1\/4 (f) -1 (g) 2\/21\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0215*-0.2.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*h - 2*t - 27, -5*h + 32 = -2*t. Suppose -h*d = 195 - 2289. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3508*p**2 - 297970*p**3 + 3434*p**2 + 297973*p**3.\nAnswer: 3*p**3 - 74*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -0.3 (c) -3 (d) 0.3 (e) -0.5 (f) -3\/661\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.8. Let r = y + -0.1. What is the closest to 0.1 in -1, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.404726 and 1.06.\nAnswer: 3.464726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w. Let i(q) = -8*q + 3. Let c(f) = -14*f + 5. Let p(b) = 3*c(b) - 5*i(b). What is 2*m(n) + 5*p(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-5895)\/5502)\/(17\/(595\/330)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)*-2)\/(sqrt(539) - (sqrt(539) - 2*sqrt(539))) + -5.\nAnswer: -5 - 4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 548833057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.02336 rounded to 2 decimal places?\nAnswer: 3.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15))\/(16\/1400*5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/9, 2\/7, 2\/13, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x - 1. Let j = 189 - 125. Let t = -53 + j. What is the remainder when s(-4) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 20 = -3*k. Let y(j) = -3*j - 6. Suppose 3 = -2*s - 11. Let g be y(s). Calculate the greatest common factor of k and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3924, 3925, 3926?\n\"Answer: i + 3923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 53. Calculate j(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x + 10*x + 1 + 3*x**3 - 20*x + 7*x**2 - 2. Is o(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -19) + 0 + -2 + 0 + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -68977\/6 and -11495 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 845529 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2021124 (base 7) to base 11\nAnswer: -154776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 232933 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*l + 112*l + 50*l + 951*l - 176244 = 0 for l.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*r - r. Let p = 21 - 21. Let x = -0.1 + p. Which is greater: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16703*a**3*u**2 + 117*a**3*u + 7*a**3 - 162919*a**2 + 13*a*u - u**2 wrt a.\nAnswer: 100218*u**2 + 702*u + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/92 - 204\/23. Calculate the common denominator of -127\/18 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/14 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -1.9.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81.21 + -86.21. Sort -1, 2, o, 0.4.\nAnswer: o, -1, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313800 rounded to the nearest 1000?\nAnswer: 314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -b + 124*y - 122*y, y - 31 = -4*b. What is the highest common factor of 20442 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3341.1 and -752?\nAnswer: -2512507.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 10. Find the second derivative of -x*n + 5*n**2 + n**2 + 5*n**2 - 4*n**2 wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136983624 and 34245906?\nAnswer: 136983624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = -6. Suppose d*t - 2 = 10. What is the second derivative of 5*u + 4*u**3 + 2*u**3 - 3*u**t - 6*u**3 wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 11*y + 3 = -c, -4*y = y - 0*y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 4*u**2 + 2*u + 2. Let n be (-40)\/30*(-15)\/4. Let r(x) = -2 - 6*x - 6*x + 5*x. Calculate n*i(l) + 6*r(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3930)\/327 + -47 + (71 - 12).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15)\/(-9) - (2 + (-2756)\/4200) and 48\/35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155.50003823 - 155.5. What is h rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-15)\/p**33*p*p**(1\/31)*p**(-12) assuming p is positive.\nAnswer: p**(-1828\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*m)*(m - m + 28 - 2*m).\nAnswer: -4*m**2 + 56*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -564 divided by 1213\nAnswer: -564\/1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 18 + (-1 + -3 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -146e3 + 1?\nAnswer: -146e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 3:48 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/52*8\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 4 (c) -0.5 (d) -32549 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2242132850?\nAnswer: 2, 5, 44842657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1889*f + 31 + 4 - 13 + 13 - 8073*f.\nAnswer: -9962*f + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r + 2. Let z be t(5). Is 2\/(-12) - (-2149)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(5) + -4)**2 + (((1*sqrt(70))\/sqrt(7))\/sqrt(2))**2.\nAnswer: -24*sqrt(5) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242716 and 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-7)*(-7 + 14). Suppose -59*z = -64*z + v. Let n = -14 - -22. Calculate the least common multiple of n and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2850*c - 2863*c - 4 - 2866*c - 4 - 2865*c + 11423*c.\nAnswer: -21*c - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 1076. Let t(j) = 2*j - 1058. Determine 6*t(d) + 5*v(d).\nAnswer: -3*d - 968","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2\/19 (c) -276 (d) -0.5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3689*x + 47040 = -144788 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ed0b - 5?\nAnswer: 1ed06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5\/4)\/t**(-2\/5)*t**(9\/4)*t\/(t\/t**11)*t assuming t is positive.\nAnswer: t**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + x - x)*((7*x - 2*x - x)*(2*x**2 + 2*x - 2*x) + (-104*x + 102*x + 92*x)*(4*x**2 - 1 + 1)) as i*x + q*x**3 + t + y*x**4 + r*x**2 and give y.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 100001001?\nAnswer: -100001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (-4 + sqrt(117) + sqrt(117) + 3)) + (sqrt(117) + 1 + sqrt(117))*-2 - (5 + 6*(0 + sqrt(117)) + 2)**2) + -2.\nAnswer: -4264 - 267*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 441, 820, 1201, 1584, 1969?\n\"Answer: w**2 + 376*w + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-5 - 10 + 8)*(-2*u**2 + 3*u + 0*u**2 - 2*u).\nAnswer: -14*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20883?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0 + 5. Let s = -108 + 35. Let j = -78 - s. Which is the nearest to f? (a) -0.1 (b) j (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*a = 172*a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 1, -38, 4, -2, 9 in ascending order.\nAnswer: -38, -5, -2, -1, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.7235*-16.2\nAnswer: 11.7207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 7*f - 17. Calculate t(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suss when four letters picked without replacement from {u: 9, s: 10}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 0 - (-7)\/(14\/8). Determine r, given that -g*r - 3*r**2 - 6777 + 6777 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 891, 1924, 3371, 5232, 7507?\nAnswer: 10196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15189260.08 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 1 + (4 + 1 - 2). Suppose -6 = -3*p + j*p. Let h be (-11)\/(-1) + (-4)\/(-8)*p. Round h to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-27 - -34) + -1 + -27.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wowddodoododdwwdo. Give prob of sequence wwwo.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.016? (a) 0.2 (b) -0.4 (c) 2\/7 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccjdjdcdccojcdoccyc. Give prob of sequence dyc.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*550231.\nAnswer: -9353927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2183 less than 0.3?\nAnswer: -2182.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 352, 958, 1962, 3358, 5140, 7302?\n\"Answer: -r**3 + 205*r**2 - 2*r + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*y**5 - 15602*y**4 + 1285*y**2 + 258*y.\nAnswer: -840*y**2 - 374448*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8098\nAnswer: -8098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 0*l - 2*l + (1 - 1 - 2*l)*(-3 + 0 + 5) + 2*l + 1 - 1 + 35 - 10*l - 35)*(3 - 1 - 4)*(-2 + 3 - 2) as s + n*l and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 35 + 40 = 0. Put b, 20, -4 in increasing order.\nAnswer: -4, b, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488301143.\nAnswer: 11, 109, 407257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.3, 5, -1\/4, 0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 14*c = -300. Suppose 5*i - i + c = 0. Let s be 9 + (1 + -2 - (3 - 0)). Sort -5, -2, i, s.\nAnswer: i, -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6) + 26 + -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 320?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*x**4 - 2240*x**3 - 7344*x**2 - 10692*x - 5832 = 0 for x.\nAnswer: -9\/4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 476*g - 10. Let w(a) = 3330*a - 72. Give 36*p(r) - 5*w(r).\nAnswer: 486*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 423*i - 1260.\nAnswer: -(i - 420)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 10*h + 900. Let l = 71 - h. Suppose 17*y = l*y + 492. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24303700 to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/((sqrt(162)\/sqrt(3))\/sqrt(6)) - sqrt(121)\/(sqrt(11)*1*1))**2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*t = -t + 2, 5*t - 40 = -4*n. Let k = n + -2. Let d(q) = -6*q. Let p be d(-2). Solve 2*f = -z - k, -p = 5*f - f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**5 + d**5 + d**5 + (-d**3 - 4 + 0 + 6 + 6*d)*(14*d - 14*d - 7*d**2).\nAnswer: 5*d**5 - 42*d**3 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 5, k: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1140.9 + 1044. Let o = 63 + t. What is o rounded to 0 decimal places?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -913\/24 - -247\/8. Calculate the common denominator of 32\/33 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117828317.\nAnswer: 101, 1166617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = -5*o, 2*t + o - 3 = t. Suppose -t*q + 17 - 5 = 0. Calculate the remainder when 5 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723375 is divided by 241084.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*o + 5, o - z = -5*z - 18. Sort -4, -1, o in descending order.\nAnswer: o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.39 times 0.5?\nAnswer: -1.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 24. What is the remainder when 132 is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:32 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -326\/7*b - 400\/7*b**2 + 18\/7*b**3 + 92\/7.\nAnswer: 2*(b - 23)*(b + 1)*(9*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 195*o**2 - 3320*o + 3120.\nAnswer: 5*(o - 12)*(o - 1)*(o + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 22*q**3\/27 - 64*q**2\/9 - 8*q\/3 - 564. Factor f(r).\nAnswer: 2*(r - 6)*(11*r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/7 and -14\/35625061.\nAnswer: 249375427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -199657.\nAnswer: -199661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 319 - -139. Suppose -5*x + 52 + k = 0. Let y = 50 + -33. Calculate the highest common divisor of y and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 3*d**2 + 3*d**2 + 2*d. What is the remainder when 12 + (-4 - -2) + 1 is divided by v(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -2 + 16 + 20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*4*3337\/1420?\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*i + 94. Calculate the remainder when 47 is divided by i - -1 - 52\/13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1530.0403 to the nearest 10.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*j**3 - 123*j**3 + 61*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 27*m - 4. Let b(c) = -4*c**2 + 55*c - 9. Give 4*b(g) - 9*p(g).\nAnswer: 2*g**2 - 23*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(k + k - k)*(-14 + 11 - 21) in the form z + w*k and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 8*u**2 - 8*u. Let m be y(-7). Let l be 2 - m\/(105\/24). Let c = 0.054 - 0.154. What is the closest to c in 8, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50, -93, -138, -185, -234?\n\"Answer: -h**2 - 40*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 981.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzxbbbzbzvvbbb. What is prob of picking 1 x and 1 v?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + sqrt(512)))**2.\nAnswer: -640*sqrt(2) + 2148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**6\/120 - t**5\/10 + 5*t**4\/24 + 5*t**3\/6 + t**2. Let f(k) = -k + 13. What is the least common multiple of y(5) and f(0)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/4103 and 26\/3357?\nAnswer: 36927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1687 and 79\/41934?\nAnswer: 293538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0425 from -588752885.21.\nAnswer: -588752885.1675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b6 + -1?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2064318008.\nAnswer: 2, 258039751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397, -474, -551, -628, -705?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**4 + 2*n**2 + 2*n**3 - n**2 - 9*n**4 to the form g + b*n**2 + w*n + l*n**3 + h*n**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128 - -63) + 15 - -58?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1025050 (base 6) to base 10\nAnswer: 50358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, 265.4, -0.3 in decreasing order.\nAnswer: 265.4, -0.3, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**4\/4 - 22*y**3\/3 - 23*y**2\/2 - 10*y - 19. Let h be r(-21). Let d = h - 4. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*d - 996384 = -748034 + 1053797. List the prime factors of d.\nAnswer: 7, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*y - 5, -4*y = -h + 24. Suppose -l - 215999 = 2*i - 5*i, 3*l + 287997 = h*i. Suppose -5*p = -p + i. Round p to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 2}. What is prob of picking 1 l and 1 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 + 2.88. Is f at least 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 1409?\nAnswer: -1408.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1119836*g**2 - 2026997 wrt g.\nAnswer: 2239672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 divided by -45087.\nAnswer: -22\/6441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) + 2*sqrt(99))*-3)*4)**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2995 - -2990. Suppose -3*y = -8*y - 25. Let c(j) = j**2 + 3*j - 7. Let v be c(y). Put -3, v, k in descending order.\nAnswer: v, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001554 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9148 = -114*p + 428. Calculate the least common multiple of p and 136.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -211521 (base 10) to base 3\nAnswer: -101202011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7650 and 15164.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4818087 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 less than 14107139?\nAnswer: 14107089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1371 and -53\/33.\nAnswer: 15081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 1. Let m(b) = -1. Suppose -4*r + 21 = -3*i, 0 = -r + 2*i + 2 + 7. Let q = 2 - 3. Determine q*z(f) + r*m(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/214344 and 37\/23816?\nAnswer: 214344","meta":{"dup_signals":{},"source":"numbers__lcm_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: Is 11 a factor of 18566980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. What is the third derivative of 53*t**k - 7*t**4 - 52*t**2 - 6*t**4 + 3*t**4 wrt t?\nAnswer: -240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.3 - -14.72. Let z = -5.5 - h. Let n = 0.08 - z. What is the nearest to -2 in n, -5\/6, -2\/11?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.829 + 1.149. Let c = -18.6800889 - n. Round c to 6 dps.\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81816688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s**2 - 109*s + 1710. Determine y(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 - (-22)\/60. What is the second biggest value in 1\/3, q, 0.6, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*g**2*q**3 + b*g**2*q**2 + 10*b*g**2*q + b*q + 33823*g**2*q**3 + 2*g*q**3 - 1027*g*q**2 wrt q?\nAnswer: 6*b*g**2 + 202938*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**1)**(-44))**(8\/7))**27 assuming l is positive.\nAnswer: l**(-19008\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.4, 3.1, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 + 7*f + 8. Let h(u) = 8*u**2 + 2*u**2 - 11*u - 4*u - 17 + 5*u**2. What is 6*h(g) + 13*n(g)?\nAnswer: -g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100 - 11?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) 4.52 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33977336399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 8 = -4*x, -3*x + 11 = -6349735*d + 6349737*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t = -15*t + 664. Let w = t + 1333\/8. Factor 1\/8 + 5\/8*o + 5\/4*o**3 + w*o**4 + 5\/4*o**2 + 1\/8*o**5.\nAnswer: (o + 1)**5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -74, -109, -144?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 259 + -379. Calculate the least common multiple of 144\/z*5\/(-3) and 19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 846436 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38797.062 - -38749. Let g = -39.1 + -8.9. Let c = b - g. Round c to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 225407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 10405264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 120 = 6*x. What is the smallest common multiple of 246 and x?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 11, 2\/5, 4, -0.0053 in decreasing order.\nAnswer: 11, 4, 2\/5, -0.0053, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/(-8) + (1 - -9). Let k = l + -8. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-272)\/(-44) - 6 - 1324\/22. Let o be 351090\/a - (-6)\/4. Is (1\/(-3))\/(15\/o) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-24)*-27 + (-84)\/(-48). Solve -8*p - 11 = -7*p + w*d, -3*p + 4*d + 31 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -922306*t**2 + 1664889*t.\nAnswer: -1844612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**2 + 514*y + 86.\nAnswer: -2*(y - 43)*(6*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/35*40\/6. Let q = -911 + 547. Let i be q\/65 - 4\/10. Which is greater: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 527, 879, 1219?\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109824441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154\/15 - 48\/5. Let c = 6.1 - 5.6. What is the third smallest value in c, -1\/6, -0.09, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -728 - -730. Let u(t) = -t + 1. Calculate u(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {b: 4, g: 1, v: 1, r: 1, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -0*v - 3*v. Let i = -5 - v. Find the third derivative of -6*f**i - f**3 + 0*f**2 + 5*f**2 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f*f**(-3\/2)*f)\/f)\/f*f*f)\/f)**45\/(f*f**(-2\/7))**(-1\/18) assuming f is positive.\nAnswer: f**(1420\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - ((sqrt(77)*1 - sqrt(77) - sqrt(77)) + sqrt(77)))*-5 + sqrt(77))\/(sqrt(63) + 2*sqrt(63)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/306*15\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 31\/5 (b) 5 (c) -1\/10 (d) 2\/3 (e) -0.2 (f) -34.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 8. Let f be (-8)\/5 + 14\/(-35). Let c(g) = -g**3 + 7*g**2 - 6*g + 2. Let s be c(6). Sort f, y, s in ascending order.\nAnswer: f, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7084131l to millilitres.\nAnswer: 708.4131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**3\/2 + i**2\/2 + i. Let o(x) = -2*x - 33. Let m be o(-16). Is 2 a factor of g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-1)*t*t)*t*t\/t**2*t*(t**3\/t)\/t*t**(-3) assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 - 573*v**2 + 24486*v - 266684.\nAnswer: (v - 1102)*(v - 22)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i**3 + 2*i**2 - 3*i + 10213?\nAnswer: 9*i**2 + 4*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2161\/144 + 313\/16. What is the common denominator of k and 11\/51?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.15 - -38.35. Let b = 4\/31 + 19\/93. Sort b, c, -1\/6 in descending order.\nAnswer: b, c, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 9*x - 24 = 0. Calculate the smallest common multiple of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-3 + -4 - -17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-90)\/(-20)*52\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -213*x + 6046 - 15581 + 7302 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5956.068 * 0.067.\nAnswer: -399.056556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 4\/(4\/(-33)). Let g = -5 - -9. Calculate the highest common divisor of d and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a. Let d(h) = 213 + 6*h - 426 + 210. Calculate u(d(c)).\nAnswer: 12*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-888)\/(-72)*-216*(0 - 3\/2). Calculate the highest common divisor of 740 and d.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + -20. Let j = z - -49. Let n(v) = v**3 + 7*v**2 + 5*v + 1. Give n(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 0 + 15)*(48*z**3 - 33*z**3 + 29*z**3).\nAnswer: 1144*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3378\/17 + 2\/17*i**2 + 3376\/17*i = 0. What is i?\nAnswer: -1689, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3234 and 173?\nAnswer: 559482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 49*q + 148. Determine s(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 714*x. Let b(z) = -z**2. Give b(q(s)).\nAnswer: -509796*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f = 55*f - 327 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 985*l - 433*l + 23343 = -473*l + 4893 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6812.202 millilitres?\nAnswer: 6.812202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 4*f + 2*c + 46, -15*f = 2*c + 53 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676192 is divided by 18275.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 6*f - 2*f)*(2*f + f + 0*f).\nAnswer: -39*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136)\/2 + 6364\/(-12580)*-85.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2625 + 2499 = -14*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b - 8*b**2 + 11*b + b**3 + 0*b**3 + 10 + 0*b**3. Let h be l(7). Let f(c) = c**2 + 5*c + 2. Calculate f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/30*1*(-18)\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z + 504*z + 6 - 233*z to u*z + s and give u.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekakreeklke. Give prob of sequence ke.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) 4\/5 (c) 1 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 + a. Let b be (20 - 19)\/(0 - -1). Let q be o(b). Solve -4*p = -2*w - 12, -14 = -q*p + 2*w - w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 7. Let x be (-1)\/(-4) + 38\/8. Let r(n) = -n - 5 + 16 + 3*n. Suppose 4*j + 27 - 3 = -4*g, 2*j = 4. Calculate g*o(s) + x*r(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13985\/10591 - -109\/119. What is the common denominator of -103\/6 and j?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4206784 is divided by 4775?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/11))\/y**7)**20 assuming y is positive.\nAnswer: y**(-1280\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 334*0.4\nAnswer: 133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 240.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -361, -3095, -10571, -25177, -49301, -85331, -135655, -202661?\n\"Answer: -398*w**3 + 17*w**2 + w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.732 milligrams?\nAnswer: 0.005732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 31*m**2 - 76*m + 18. Let d(b) = -7*b**2 + 19*b - 4. Let y(x) = 9*d(x) + 2*l(x). Find n such that y(n) = 0.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 > -270\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 59*f**2 + 397*f - 1293. Calculate b(65).\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 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: Let l(g) = 6*g**2 + 15*g + 19. Let t(b) = -b**2 - b. Let o(c) = -l(c) - t(c). Let y(a) = 6*a**2 + 13*a + 19. Let w(u) = 5*o(u) + 4*y(u). Is w(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + 3*sqrt(7623)*-1 + (0 + sqrt(5103))**2 + 2 + 0 + sqrt(5103) + sqrt(189)\/sqrt(3) + -5.\nAnswer: -69*sqrt(7) + 5101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 486 - 473. Let w(p) = 2*p**2 - 8*p + 10. Let s(y) = -2*y**2 + 7*y - 10. Let f(o) = 2*s(o) + 3*w(o). Calculate the remainder when f(7) is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(150\/(-40)))\/(1\/3).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 - x + 2. Let y(o) = 10*o**2 + 2*o - 8. Determine -5*w(t) - y(t).\nAnswer: 5*t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/5 - 12289*y**2 + 4121304*y\/5 = 0.\nAnswer: -61512, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r + 4. Let w be u(-1). Suppose 0 = w*g + g - 84. Solve -3*p + p = g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*i - i - 40, 2*u - 20 = 3*i. Let m be -10*(-1 + 0\/(-1)). Solve -u*z + m = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1620*l**2 - 71*l - 131. Let f be h(-41). Round f to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 + 0. Let d = n + 3.82. Which is the nearest to 0.1? (a) -0.07 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 3\/5, -2, -12, -0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 22.9. Let m = v - 5. Sort m, 1\/6, 0.4.\nAnswer: m, 1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 2*n + 2. Let x(d) = 5*d**2 + 11*d - 11. Let u(c) = -22*l(c) - 4*x(c). Let m(h) = -13*h. Calculate u(m(j)).\nAnswer: 338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kck when three letters picked without replacement from kkccccccck?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-969)\/1292)\/((-6)\/(-112))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1291882 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132344 + 3?\nAnswer: 132351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 544.2727s to milliseconds.\nAnswer: 544272.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26.49608 years?\nAnswer: 317.95296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*k + 2*m + 112 = 73*k, 5*k - 4*m - 104 = 0. Let u be (27\/6)\/(1\/2). Which is bigger: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6625 is divided by 196.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(14)\/sqrt(2)) - (sqrt(192) + 1*sqrt(192)))\/((-1*sqrt(320))\/(-1*sqrt(80)))*5.\nAnswer: -35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t - 1. Let i = -7 - -8. Calculate p(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(((((y*((y*y**(2\/7))\/y)\/y*y)\/y)\/y)\/y)\/y))\/y**(-3) assuming y is positive.\nAnswer: y**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Let d be y\/(0 - 1\/1). Suppose 0 = 5*o + 5, 2*m - 2*o + 8 = -6. Let v(h) = 14*h + 8. Let f(t) = -5*t - 3. Give d*v(x) + m*f(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 441225654 * 0.4.\nAnswer: 176490261.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*1 + sqrt(44)*2.\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -94.733\nAnswer: -18.9466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 632 (b) -71 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbxbtttxxtb. Give prob of sequence bxx.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 284 = 204 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 + -0.5. Let b = 483 + -487. Put b, c, 4, 5 in decreasing order.\nAnswer: 5, 4, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, t: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5\/(-30) + 338\/24*50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.3 (c) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.5 - 53. Put 1\/6, 0, m in descending order.\nAnswer: 1\/6, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, -4585, -12419, -23387, -37489, -54725?\nAnswer: -75095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -21*s**2. Let l(j) = -11*j. Give c(l(u)).\nAnswer: -2541*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 12:56 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 2*9\/6. Suppose o - 3 = 3*l - 2*o, -37 = -3*l - b*o. Suppose 0 = -4*q - q + 25. Solve -2*j + 2*c + 10 = l*c, 11 = -q*j + 4*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1631*d - 34 = -1624*d - 5*r, 2*d - 3*r = -16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 2*q + 2*q)*(8646 - 3925 - 12537 - 47471) to the form n + u*q and give u.\nAnswer: 110574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/3 - 2772*q**4 - 4*q**3 + 49912*q**2\/3 - 22178*q + 8316 = 0. Calculate q.\nAnswer: -3, 1, 4158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 22. Suppose -3*n - d + 1 = -2*n, -5*n + 4*d = -t. What is the lowest common multiple of n and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 27*p + 177 = 0, 3*x + 5255*p - 5257*p - 3 = -6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*l + 37*l - 75 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c9d - 1?\nAnswer: 2c9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 81, 169, 263, 363, 469?\n\"Answer: 3*z**2 + 79*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2405 (base 11) to base 10\nAnswer: -3151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 440, 427, 400, 353, 280, 175?\n\"Answer: -q**3 - q**2 - 3*q + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 12:05 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) -1 (c) -143 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(24\/11)*f)\/f*f*f**(-3))**49 assuming f is positive.\nAnswer: f**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z + 2 = 0. Let c(t) = 7*t**2 - 4*t. Let g(u) = -19*u**2 + 11*u. Let j(m) = 11*c(m) + 4*g(m). Calculate j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 5*s. Let -w**3 - 2*w**3 + 0*w + 2*w**3 + 2*w + w**s = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3319 + 3316.437. Let j = 1.15 + f. Round j to two dps.\nAnswer: -1.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb8d5 (base 15) in base 11?\nAnswer: -377869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*g*k**3 - 2*g*k**2 + 2*g*k - 6*k**3 + 68*k wrt k?\nAnswer: -54*g*k - 4*g - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -5, 19\/23, -0.5, -0.14, 3\/7?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + -9)\/(4\/(-2)). Let u be (-4)\/((-8)\/g) - -1. Suppose 5*o - u*d - 185 = 0, 5*o + 6*d - d = 150. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57.2007 + 0.0993. Let g = -53 + f. Let o = 4 - g. Are o and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(1 + (-11)\/5). Let x(d) = 10*d**3 - 15*d**2 - 16*d - 287. Let v(c) = 3*c**3 - 5*c**2 - 5*c - 84. Let o(w) = -7*v(w) + 2*x(w). Determine o(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 1:15 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(20)\/sqrt(640) + -5 + (sqrt(10)\/sqrt(5))**2 - (sqrt(96)\/(sqrt(12)*-1 - sqrt(12)) + -2)**2).\nAnswer: 31*sqrt(2)\/2 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7516 - 76117 = -39*s. What are the prime factors of s?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/32*(-2)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 585, 4608, 15521, 36768, 71793, 124040?\n\"Answer: 574*x**3 + x**2 + 2*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 7*b - 9 = -10*b, 14 = 2*u - 4*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 - 3.92. Let l = q - -4. Let s = 1.631 - 2.031. Which is the nearest to s? (a) 1\/4 (b) l (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 7*u - d - 7, -4*u - 3*d = -11. Solve u = -3*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5110, 31, -5, -1 in decreasing order.\nAnswer: 31, -1, -5, -5110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687363302.\nAnswer: 2, 13217, 26003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -29*a + 6. Let u(r) = -7*r + 2. Give 7*u(t) - 2*x(t).\nAnswer: 9*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 1:24 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 133303052 (base 6) to base 7\nAnswer: 31544216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 1. Suppose 14*g - 11*g + 18 = 0. What is the remainder when 32 is divided by r(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266494.\nAnswer: 2, 19, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from {t: 7, b: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1838*u + 171100 = -23728 for u.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 - -104. Let l be (((-48)\/33)\/o)\/(-2). Which is the second smallest value? (a) -2 (b) 0.09 (c) -1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 3:12 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpeuopxfeopx. Give prob of sequence uef.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4417963.\nAnswer: 11, 193, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12614 = -4*t + 5375 + 6891. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2 - 4829*q - 19312. Calculate f(-4).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-17)*(-3)\/9. Let s = 16 + -15. Which is greater: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and -2999254.94.\nAnswer: -2999254.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9 + -0.1. Let p = -49.5 + 56.5. Which is the third biggest value? (a) p (b) l (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2\/7 (c) 1 (d) -87022 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19821826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n**2 - 2*n - 20. Determine k(-4).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9362.393 to the nearest 100.\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o + 50*o + 33*o.\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, e: 4, j: 6, z: 2, v: 1, n: 2}. What is prob of picking 1 v, 1 e, 1 z, and 1 j?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2218505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-3))\/9*-21. Let w(b) be the first derivative of -1042856*b**2 + 16*b + 23. Let c be w(g). What is c rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**4\/2 + 69135*l**3\/2 - 19703395*l**2\/2 + 115249065*l\/2 + 67510800 = 0.\nAnswer: -1, 7, 285, 13536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 10692?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2719 + 2718.6. What is the fourth smallest value in f, 3\/7, 0.3, 1\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200255, -200240, -200225, -200210, -200195?\nAnswer: -200180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 8, 24, 48, 80?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3895 (base 12) in base 2?\nAnswer: -1100100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -18, -40, -70, -108, -154, -208?\n\"Answer: -4*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*x - 14, -2*y + 3*y - 5*x = -28. Solve -2*q - 3*h = 2, 8*q + y*h = 3*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128449*w = 128389*w + 300 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 143 + 142 = v, 0 = -2*g + v + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -30. Solve w = -4*r + 7, -4*r - 1 = r - b*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1995?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -974.9 + 975.3. Which is the fourth biggest value? (a) -0.02 (b) -0.2 (c) -0.013 (d) 0.3 (e) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -37*g - 1. Let y be -3 + 3 - (-1 + 2). Let q be x(y). Suppose a = 5*f - 45, -4*f - a + 2*a = -q. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -5.0798.\nAnswer: -2.5399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-72)*(-3)\/14?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3305 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 26*r + 145. Let p be ((-220)\/33)\/((-22)\/(-99)). Calculate i(p).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 1900*s**2 - 119747*s + 247086.\nAnswer: (s - 1961)*(s - 2)*(s + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmt when three letters picked without replacement from mmmtmmmmmmmmmmmtmm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.32436 - 1.02436. Which is the biggest value? (a) 6 (b) -0.9 (c) j (d) 0.5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1355445*n*p**3 + 16*n*p**2*r + 2*n*p*r + 2*n*r - 8514*n - p**3*r wrt p?\nAnswer: 8132670*n - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -4378308 = -4378321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 3*z + 3*z)*(-1820*z**2 + 33701 - 33701).\nAnswer: 3640*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**2 - 6228*d = 0.\nAnswer: -6228, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 5 + 4)*(-1 + 1 + 1) - 5 - 1 + 4 + 1 - 2 - 1)*(331*t**3 - 654*t**3 - 3250*t**2 + 324*t**3) to h*t**2 + m*t**3 + i + z*t and give h.\nAnswer: 9750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -332.5 + 333.1. Which is the nearest to -0.13? (a) i (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1578 and 80.5.\nAnswer: -127029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t**3 + 14*t**2 + 9*t. Let j be d(-5). Let x = 7647\/11 + j. What is the nearest to 8 in x, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 511 = -499. Sort c, 5, 7 in ascending order.\nAnswer: c, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28637213 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2269352 millilitres in litres?\nAnswer: 0.0002269352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107.7 - 107.88615. What is v rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 591*n - 599*n + 144. Suppose 4*d = 3*q - 784, n*d = 2*q + 16*d - 526. List the prime factors of q.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 divided by 150?\nAnswer: -331\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:59 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 245. Let v = -217 + j. Which is the third smallest value? (a) v (b) 0.4 (c) 0.19 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8\/25 of a meter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*p + 6 - 0, y = 2*p - 11. Suppose z + 25 = 5*x, -5*x - z + p*z + 35 = 0. Solve -3*u + x*u = -5*n - 19, 0 = -3*u + n + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 494 = x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 62d080 + 6?\nAnswer: 62d086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 21. Determine j(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 169\/5. Let w be 0 + (-30)\/9 + 3. What is the closest to -1 in y, 6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211569 or 1904108\/9?\nAnswer: 1904108\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v. Let r = 0 + 2. Suppose 0 = -r*u + u + 1. Sort 4, u, v.\nAnswer: v, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 170827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((y\/(y**(-3)*y))\/y)\/y)\/y*y*y)\/y)\/((y**(1\/3)*y)\/y*y))\/(y**(1\/11)*y**(-1)\/y) assuming y is positive.\nAnswer: y**(52\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Let u(o) = -489294*o. Let n(h) = 1102*h. Let r(b) = 2665*n(b) + 6*u(b). Calculate g(r(x)).\nAnswer: 1066*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, o: 10}. Give prob of picking 1 l and 2 o.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 37675 = -4*v - 28897, 2*v - 266288 = -4*b. Let q = 96767 - b. Let s = -48195 + q. Round s to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4))**40*h**(-3\/5)\/((h*h**(2\/5)*h)\/h))**(-1\/87) assuming h is positive.\nAnswer: h**(-8\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-40*(-17)\/70448). Which is greater: m or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -6584?\nAnswer: -17\/6584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 24 = -4*f, -b + 8 = 3*f + 2. Suppose 0*g = -2*g + 4. Calculate the least common multiple of b and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uruiuuiuuuuiuuuu. What is prob of picking 1 u, 2 i, and 1 r?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 15987*o**3\/2 + 15257*o**2\/2 - 2165*o\/6 + 25\/6 = 0. What is o?\nAnswer: -1, 5\/219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4491 + -0.6491. What is the fourth biggest value in -0.1, 0, -69, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014978712 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -2)*69\/(-230)*(-10)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0545 and 8?\nAnswer: -0.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19968725 - 239800703\/12. Let f = 14590 + k. Let v = -170\/3 - f. Find the common denominator of 19\/5 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6*g + 10 = 0. Let i = g + 24. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 359564506.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -c1168a (base 14) to base 6\nAnswer: -351123402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 6:19 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/24 - q**2 - 23*q. Let b(g) = 47*g - 2. Calculate u(b(d)).\nAnswer: 47*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1874129, 7496511, 16867149, 29986043, 46853193, 67468599, 91832261?\n\"Answer: 1874128*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 3)*(-3*r + 7*r - 3*r) + r - 1 + 1.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -16*g - 12. Let b be z(-4). Let o = b + -46. What is the smallest common multiple of 2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a, 2*f + a - 48 = -0*f. Suppose 3*d - f - 9 = 0. What is the remainder when 39 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25394 = 813*c + 101816 for c.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2374, -4675, -6980, -9289, -11602, -13919, -16240?\n\"Answer: -2*w**2 - 2295*w - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 15\/(-4) + (-1196)\/(-16). Suppose 74*r = s*r - 877. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 7 - 8) + 11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-4 + 7 + -2). Let q be -1 + 0 + 3 + v. Calculate the highest common divisor of 5 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273 + -244. Calculate the remainder when 50 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*n - 1083, 5*q + 302 = n + 10*q. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + (sqrt(2448) + -6*(sqrt(2448) - (-1 + sqrt(2448))) - sqrt(2448)))*6 - (-5 + -2 + sqrt(2448)*2))**2.\nAnswer: -2784*sqrt(17) + 40009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4508*y = -4501*y + 6, 0 = -5*y - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -111 - 61. Let y be 2\/6 - 49\/3. Let f = y + x. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.5 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*r - 100*r = 189. Sort r, -1, 3\/5.\nAnswer: -1, 3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/5 - 137776*z**2 - 59318767914*z\/5 + 118640291364\/5 = 0.\nAnswer: -172221, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 - 3*o + 3*o + (-4*o + 0*o + 2*o)*(o - o + o) + 3*o**2 - 5*o + 5*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2807 + -2803. Put t, 2\/13, -1, -0.02, -5\/4 in ascending order.\nAnswer: -5\/4, -1, -0.02, 2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/6)\/((-2)\/3). Let z(s) = s**2 - 2*s - 7. Let x be z(-7). What is the highest common factor of x and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7532, 15055, 22574, 30089, 37600, 45107, 52610?\nAnswer: 60109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 + -54 - -22) + (-3 - -23)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0651147036 and -0.1.\nAnswer: 0.00651147036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 902*v + 8*v**2 - 1811*v + 906*v - v**3 - 28. Calculate a(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-4*v + 4*v - v)*(-29*v**3 + 51*v**3 - 25*v**3 + (v**3 + 4*v**3 - 3*v**3)*(-3 - 3 + 5) + 437*v**3 + 441*v**3 - 884*v**3).\nAnswer: -22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2162487.34 rounded to the nearest 1000?\nAnswer: -2162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130397 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/(7\/42).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*r - 70 = 180*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2251, -2187, -2115, -2035, -1947?\nAnswer: -1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5 and (-118)\/(-36)*84\/(-140).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1896, 3, 2, 4, -7, -4, -16.\nAnswer: -1896, -16, -7, -4, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5 + 3. Suppose 4*r = j*m - 7*m + 86, -3*r = 3. Let p = 26 + -12. Calculate the least common multiple of p and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5144, 10302, 15462, 20624, 25788, 30954, 36122?\n\"Answer: l**2 + 5155*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.2, -31208, -2, -0.3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 446 + 454 = 0. Let n = 78 - w. Let 31*s - 60*s**3 + 12*s + 8*s**4 + 17*s - n + 20*s**2 = 0. What is s?\nAnswer: -1, 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/1 + (-4)\/2. Calculate the highest common factor of 12 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -16*t + 4*t. Suppose 5*c + 4*b - 927 = 0, -5*c = -14*b + t*b - 931. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244055244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1606 + -206636?\nAnswer: -205030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(143) + (sqrt(143) - -2*sqrt(143)*2) - (4*(1*sqrt(143) - sqrt(143)) - sqrt(143)))\/(2*sqrt(2156)\/sqrt(4)))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z - 2*p = 39*z + 37, 4*p = z - 11. Solve -2*b + c = -6, c - 2 - z = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (15 - 12) + -3 + -64 + -8?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 418 + -418. Put x, 5, -0.3, -12 in decreasing order.\nAnswer: 5, x, -0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 10*t + 8. Let k be 6\/9 + (-64)\/6. Calculate the smallest common multiple of 16 and j(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 117?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 8*q - 115 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28510607 or 57021215\/2?\nAnswer: 57021215\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 40*q**2. Let u(v) = -v + 10. Calculate u(t(x)).\nAnswer: -40*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 68\/20 - (-12)\/20. Suppose 0 = -s*h - 143 + 207. Let n be -1*-4*(-4)\/h. What is the nearest to n in 0, -12, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 3*f**2 + 10*f + 13. Let g be h(-5). Calculate the greatest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 7*i**5\/5 + 2*i - 5. Find the first derivative of m(g) wrt g.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4036980 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 + 107.3. Sort -3\/7, l, -4\/31 in descending order.\nAnswer: -4\/31, -3\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5. Suppose -3*u + 3*k = -30, -6*u + u + 2*k + 50 = d. Suppose -3 - 5 = 3*h - 5*p, -2*h + 20 = 3*p. Solve u = -h*b - b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 4*s - 293 = 0, -59 = 3*j - 44*s + 45*s for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 + 139. Factor -3\/2*d + 1\/2*d**q - 1 + 0*d**2.\nAnswer: (d - 2)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/2)*u)\/u)\/(u\/(u\/u**(-1\/6))))\/(u*u**3*u*u*u\/u**(-3))*(u**(-1\/9)*u*u**6)\/(u**(-1)*(u*(u*(u*u**(2\/3)*u*u)\/u)\/u)\/u) assuming u is positive.\nAnswer: u**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.4898us in milliseconds?\nAnswer: 0.8604898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1305)\/(-75))\/((-66)\/220).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:43 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 8)*(-c**4 + 2*c**3 - 2*c**3) - 3*c**4 - c**4 + 3*c**4 + 2*c**4 + 0*c**3 + 0*c**3 - c**3 - 9*c**4 + 6*c**4 - 1 + 2*c**4)*(7 - 3 - 1).\nAnswer: -18*c**4 - 3*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6111028 > -6111028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(300) - (sqrt(300) + -4 + 4) - sqrt(300)))**2 + (-3 + sqrt(48) + sqrt(12) - (sqrt(12) + -2 + sqrt(48) - sqrt(12)))**2.\nAnswer: -4*sqrt(3) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**4\/4 - 2*u**3\/3 + 2*u**2 - 3*u + 1. Suppose 2*m = 5*a + 4, 0 = 4*m + 4*a - 5 - 3. Give n(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h = 31*h + 36608. Which is bigger: -573 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**3 - 66*m**2 - 81?\nAnswer: -6*m**2 - 132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 5, b: 4, t: 5, a: 4}. What is prob of sequence tbh?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(80\/((-208)\/13) + 4746\/945)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -3\/1613?\nAnswer: -3\/1613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d - d)*(0*d**2 - d**2 + 0*d**2) + 41*d**2 - 41*d**2 + 15*d**4.\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:32 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-6)\/(-30) - 2\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.64 times -0.0529\nAnswer: -0.139656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481095?\nAnswer: 3, 5, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-36) - (-128)\/72. Suppose 2 = -2*a, -s*c + 8*a = 3*a - 9. Solve -4\/3*j**c + 1\/6*j**3 - 1 + 13\/6*j = 0 for j.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1\/11))*l)\/(l**4\/l)*(l\/(l**(1\/3)\/l))\/l**3*(l**(-7)*l**1)**14 assuming l is positive.\nAnswer: l**(-2879\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 27*l - 125. Calculate n(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81427 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -103a43b5b?\nAnswer: 103a43b5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 143*x**2 - 142*x**2 + 12*x + 4 + 0 - 2. Let q be o(-12). Let i(z) = 16*z**3 - z**2 + 4*z - 8. What is the units digit of i(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 7:49 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53067735 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/570 and -25\/216657.\nAnswer: 2166570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3391960 and 4748744?\nAnswer: 23743720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*s - 30 = 0, -4*n - 22 = 3*s - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-38))\/((-1826)\/(-173470))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -171788661 divided by -3\nAnswer: 57262887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0584 - 0.1416. What is the smallest value in 6, 3\/4, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -57*m + 312. Let a be g(5). Is 41 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28624 or 3.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 54 = -j, -97*j + 98*j = -w + 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8452 + 25398 - 8493 - 87*w**2 - 8451.\nAnswer: -87*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 0.1 (b) -0.4 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16012 or -368245\/23?\nAnswer: -368245\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 2, v: 4, w: 2}. What is prob of sequence ll?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 0*d**2 - d**2)*(-7 - 2 - 1).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/4 - 17*d**2\/4 + 7*d\/2 + 8 = 0.\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335 - 342 - (69\/(-6))\/1.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:58 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r + 3 - 2 + 7 - 8.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*-3)\/(10\/(-50)). Let p = -9 + z. Let y(b) = b**2 - 6*b + 7. Is 7 a factor of y(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 1901?\nAnswer: 1330.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/29964 and -23\/2310?\nAnswer: 1048740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:32 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1272 - 19*o**3 - 8*o - 1272 in the form t*o**2 + z*o**3 + u + w*o and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2, -3*d + 7 = w - 3*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 - v**2 + 3*v**2)*(0 + 0 + v) - 2*v**3 + 2 - 2 + 19*v**3 - 2*v - 21*v**3 + 4*v.\nAnswer: -6*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2394594510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 37 = 43. Find the second derivative of -14*r**2 + 0*r - r**2 + 13*r**3 + 59 + n*r**2 + 3*r wrt r.\nAnswer: 78*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -220*l - 223*l + 186 + 620*l + 68 - 220*l. Calculate t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31186?\nAnswer: 2, 31, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -11 - 4 - (-38 + 1 + 10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 10. Let m = r - 41. Which is the smallest value? (a) 0.3 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*g + 41*g - 122*g - 2*g**2 + 42*g in the form u*g**2 + c + t*g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Suppose -7 = -3*n - a. What is the second derivative of v**n - 2*v + v + 0*v wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 416 + -325. Round d to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2575 + -2576. Let m(q) = 2*q**2 - 34*q + 26. Let n be m(16). Which is the closest to n? (a) 0.2 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36, 124, 210, 294, 376?\n\"Answer: -l**2 + 91*l - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -41273?\nAnswer: 41271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwmamrmrrmrrfwma. What is prob of picking 2 a?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufuufuuukiuuuufkuuu. What is prob of sequence kkf?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132.1495 + 0.1495. What is the nearest to -2\/3 in 0.4, z, -2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w + 22 = -46*w + 2*o, o = -2*w - 21 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14708 divided by 4.\nAnswer: -3677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2638347 to the power of 1\/2, to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 12\/(-24)*2\/1. Solve -2*j = -0*j - w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/30*33 + (-106 - -113)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - a + 2. Let f(p) = 15896 - 15896 - p. Calculate -3*f(o) + m(o).\nAnswer: -o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2250\/50*1\/(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**4\/6 - 19*b**3\/6 + 8*b**2. Let d(i) = -14*i + i + 19 + 1 + 24*i - 16*i. What is 6*d(w) + 7*m(w)?\nAnswer: -2*w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -487760445 by -97552089.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6941, -7190, -7583, -8120, -8801?\n\"Answer: -72*a**2 - 33*a - 6836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5366 + -5366.08. Sort u, 0.1, -5, 0.08, -2\/5 in descending order.\nAnswer: 0.1, 0.08, u, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5020*h + 1586334. Give d(316).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80.426 + -83.426. Let i = 0.86 + 68.14. What is the second smallest value in i, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -24*h - 266 + 122. What is the closest to h in 2\/9, 11.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163140?\nAnswer: 2, 3, 5, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 659 + -966. Let w = m - -1. Let s = 305.99999859 + w. What is s rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 112623*o - 4392293. Calculate z(39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*p + 3. Let h(l) = -l**3 - 7*l**2 - 7*l - 6. Let a be h(p). Let t(g) = -g**3 + g + a - 2 + g - g**2 + g. Give t(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {j: 4, v: 1, z: 1, s: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 4*w)*((4 - 2 - 4)*(2 + 0 - 4) + 0 + 1 - 2 + 0 + 4 - 3).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 0*u + u - 1 + 2*u + 1 + (-5*u + 5*u + 2*u)*(1 - 1 + 2))*(-2868 - 2429 + 4406)*(10 + 2 - 4).\nAnswer: -28512*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {f: 1, r: 2, w: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -59198573 bigger than -59198574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 11*m**2 - 3*m + 4. Calculate l(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/208010 and 7\/260.\nAnswer: 5408260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 + 71*h**2 + 42*h + 37. What is the remainder when x(-34) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23026 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by -300?\nAnswer: -127\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -733095 or -733099?\nAnswer: -733099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = -n + 58, 34*n + 38 = 5*b + 35*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -b + 100, a = -0*a - 5*b + 32. Suppose 4*i - 3*h - 20 = 0, -5*h = -0*i + 4*i - a. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w + 4. Let p be y(0). Suppose 5*b = 12 - 2. Suppose -b*j + p*z + 124 = 0, 46 + 122 = 3*j + 3*z. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.79 - 0.0879.\nAnswer: -1.8779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1576*m - 786*m = 792*m - 8. Put -2, 623, m, -3 in ascending order.\nAnswer: -3, -2, m, 623","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/((sqrt(80)*1)\/sqrt(10)))\/(sqrt(6)\/((sqrt(24) + sqrt(2400))\/sqrt(12))).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-6))\/((-5)\/850). Suppose 136 = 7*v - 3*v. Calculate the highest common divisor of v and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51068284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -3, 5, 47.\nAnswer: -5, -3, 3, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 + 3*s**2 + 6*s - 2. Let g be h(4). Let c = g - -55. Let b(d) = -d**2 - 1. Let l(v) = 4*v**2 + v + 1. Give c*b(t) - l(t).\nAnswer: -t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*l - 168*l - 5*k = 0, 4*l + 8 = -4*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f. Suppose -3*h - 1 = -10. Let t = -5 + 3. Put t, h, f in decreasing order.\nAnswer: h, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*v + 3 = -3*m + 5*m - 531*v, -2*m - 3*v + 40 = -7*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*k + k = 315, 4*r - 4*k - 660 = 0. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 924655776*f**5 + 62033747*f**2 wrt f.\nAnswer: 55479346560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = 0, 946 = 6*o - 2*o - 2*b. Is o at least 236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 858 = -i, 3*r - 4*i = -0*r + 1277. What are the prime factors of r?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125328*m**3*o - 12714*m**3 - 19*m with respect to o.\nAnswer: -125328*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -26*k + 960. Suppose -4*y - 76 = -2*x, 8*y - 5*y = 5*x - 169. What is the greatest common factor of x and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 459*z**2 + 40*z - 4. Let q(w) = -458*w**2 - 46*w + 5. Calculate -7*q(a) - 8*y(a).\nAnswer: -466*a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*j + 26, 0 = 374*j - 378*j - 16. Let h = -20 - -11. What is the nearest to -0.1 in h, -1, -2, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 14*s - 2. Let a(z) = -2*z**3 + 25*z - 25. Let w be a(1). Determine i(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119 - 8652*i**4 + 8474*i**4 - 350 wrt i.\nAnswer: -712*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + 27. Let o be 17*-46*i\/6. Let z = o + 1339. Round z to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 120*q - 153. Determine w(6).\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let g(h) = -h + 1 - 1. Let w = 32 - 27. Let t be -3 - ((w - 2) + -3). Calculate t*o(m) + 5*g(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Let s = -28 + 55\/2. What is the biggest value in 1\/5, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*o + 4*o + 1)*(-o + 2*o - 31*o**2 + 29*o**2).\nAnswer: -12*o**3 + 10*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - -242014?\nAnswer: 242111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*u + 2*v, -253*u - 2*v = -248*u + 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 + 182. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f - 12*f + 6*f)*((5 + 0 - 3)*(-f + 3*f + 0*f) + 7*f - 4*f - 12*f) in the form b*f**2 + m*f + n and give b.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45859, 47255, 48651, 50047, 51443, 52839?\nAnswer: 54235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/12)\/((-3260)\/(-489)). Which is the closest to 2\/7? (a) 0.3 (b) 18 (c) -4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11\/9 (b) 0.1 (c) -5\/2 (d) -5 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3918114 divided by 5991?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + -3.05. Let b = -4 - x. What is the nearest to b in 5, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 36. Let s be o(-9). Let t be 758 + (6\/s - (-22)\/18). Suppose 6*a - t = 69. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1895250 is divided by 172287.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*n**2*q + 5*n**2 - n*q - 21*n - 30261*q wrt n.\nAnswer: -70*n*q + 10*n - q - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b + 66 = 0. What is the remainder when b is divided by -6*30\/(-225)*10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-1))\/(3372\/4215).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 277486*t + 465244 wrt t.\nAnswer: 277486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 125596 and 4.\nAnswer: 502384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/225 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*d + 16, -5*t = -d - 2*d + 21. Let p(x) = 11*x - 5*x**3 + 11 - 3*x**d + 3*x**3 - 8*x**2 + x**3. Is p(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -458 - 76?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3466 (base 7) to base 3\nAnswer: -1202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*0.3.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -23 + -17 + 10 + -3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let p(y) = -y**3 + 9*y**2 - 7*y - 4. Let u be p(8). Suppose -n - u = -2*n. What is the closest to q in n, -0.3, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.33 + 0.015767.\nAnswer: 0.345767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3016 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111010011110110 (base 2) in base 13?\nAnswer: 345c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**5\/20 - 2*c**3\/3 + 871*c**2\/2 - 135*c. Is x(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - 32. Let a = 44.99999938 + t. Round a to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 9*c**2 - 3 - c**3 + 0*c**3 - c. Suppose 0 = 3*t - 5*t - 18. Does 4 divide o(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 428*i**2 - 2508*i - 10142. Determine g(422).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*w - 42829860 + 42829860.\nAnswer: 75*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*d = 8, -707*s + 5*d - 4 = -704*s. Factor s*c**2 - 1\/5*c**3 - 17\/5*c - 28\/5.\nAnswer: -(c - 7)*(c - 4)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, f: 1, a: 2, j: 8}. Give prob of sequence jjjj.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1281\/61*(-12)\/105*5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.038, 5, 0.06, 1?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 11*v**4 - 75)*(4 - 2 - 3) + 2*v**4 + 4*v**4 - 5*v**4.\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2136.5 - -2136. Suppose -12 = -0*v - 4*v. Let y be ((-1)\/v)\/((-2)\/(-3)). What is the closest to y in 0.4, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 29. Suppose -4*s + 5*l + 26 = 0, -3*l - 14 = -4*s - 4*l. Let q be 2\/s + (-75)\/(-10). Calculate the greatest common factor of q and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/15)\/(4\/70*-7*1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 67*b = 62*b + 32, b = 5*y - 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u**2 - 13*u**2 - 45*u + 6 + 12*u**2. Let z be l(10). What is the highest common factor of z and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 33. Let c be d(3). Suppose -3*h - 18 = 147. Let y = c - h. Solve 0 = -4*u - 0*u + a + y, -11 = -2*u - a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - -1. Let l = h + -0.1. Put l, 4, 2 in decreasing order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185949.\nAnswer: 3, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -80, -1 in descending order.\nAnswer: -1, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 h when three letters picked without replacement from {h: 12, e: 7}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000 (base 3) to base 15.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 64\/5 of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwuii. Give prob of sequence wi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + (5 - 8) - (-6 + 1 + 7). Solve y + 2*v = -4 + a, -4*y = -v - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 6. Let z be x(10). Is 4 a factor of 2250\/81 + z\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 82*l - 108. Is i(14) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 + 3 + 10 + -135?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.118*-1.9.\nAnswer: 0.2242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 378\/(-4)*(0 + 2). Let o be 1\/(g\/(-96) + -2). Let c be (40\/o)\/((-1)\/4). Solve -q = -6*q - c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - (-3 - (-1 + -1))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1008) + 1)*5 - sqrt(1008) - (sqrt(1008) + sqrt(1008)*1 + -4)) + 4*(-1 + 1*sqrt(1008)))*1)**2.\nAnswer: 720*sqrt(7) + 36313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -146 from 0.5.\nAnswer: 146.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -44. Let j = t + -1. Solve 3*b + b = -j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/42703370 or 1?\nAnswer: -19\/42703370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 870876, 0.1, -0.73 in decreasing order.\nAnswer: 870876, 0.1, -0.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 27*o**3 + 70)*(-3 + 1 + 1)*(32*o + 18*o + 36*o).\nAnswer: 2322*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2725259 - 2725259 + 11*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12\/7, 2\/15, 0.09, 1, 1\/4, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54185 is divided by 467.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006025015 rounded to 5 decimal places?\nAnswer: -0.00603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -9*x + 0*x**2 + 1\/10*x**5 + 0*x**3 + 187\/12*x**4 + 0*x**6 + 1\/21*x**7 + 0. What is the third derivative of y(f) wrt f?\nAnswer: 120*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2585519 is divided by 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*y - 1 + 11, -3*y + 3*i = -12. Let n(p) = p - 3. Give n(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 21*b**3 + 127*b**2 - 150*b - 764. What is d(-5)?\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from yxm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8. Let x be ((-72)\/(-30))\/(8 - 51\/15). Which is bigger: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*y**2 - 129*y**2 + 59 + 3*y - 7*y + 255 as d*y**2 + x*y + v and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2)*5\/2. List the prime factors of ((-126)\/(-35))\/((-2)\/r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 + (-12)\/(-7). Let a = 2 + y. Suppose 2*m - a*m + 3*d = -20, -m - 1 = 4*d. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44205750 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2 + 56*g + 2304 = 0. Calculate g.\nAnswer: -18, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51506 = -2*p + 4*i, -4*p + 30*i + 103021 = 25*i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 116*d - 205 + 89. What is the nearest to -2 in -2.28, d, 0?\nAnswer: -2.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4042.03 - 2058027.\nAnswer: -2053984.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -259 + 428. Let r = k + -173. Which is the nearest to -1\/3? (a) r (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 7*y**3 - 8*y - 6. Differentiate b(j) wrt j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 1, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + -34 + 11 + 44 + -23?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*v + 12, -4*v - 3*y - 17 - 14 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 6173 + 6173.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*b**3 + 2360*b**2 - 9632*b + 2560 = 0. What is b?\nAnswer: 2\/7, 4, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 242.0039l?\nAnswer: 242003.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -5. Let g(i) = -4*i + 3*i + 1 - t*i + 3*i. Let d be g(-5). Solve 0 = -4*x + d, 0 = 4*n - 3*x - 1 + 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5657?\nAnswer: 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 + (-6362)\/(-3256))*11*18\/495 and -41\/1628.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2255 rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99868849?\nAnswer: 99868849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(832)*-1 + 3 + (sqrt(832) - 1*sqrt(832)) + 0 + (3 + 1*sqrt(832) + sqrt(832) - (5 + (sqrt(832) - (1 + sqrt(832))))) + -4)**2.\nAnswer: -48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9*h**2 + 24*h + 18. Let w(b) = 4*b**2 - 12*b - 10. Determine -2*m(p) - 5*w(p).\nAnswer: -2*p**2 + 12*p + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(66)\/sqrt(6) + sqrt(1331) + 2)*6.\nAnswer: 6 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12.61011m?\nAnswer: 1261.011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 1 - (6 + -3 + -10). Find the third derivative of -124*u**3 - 17*u**2 + n*u**2 + 163*u**3 wrt u.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37038065 divided by -5?\nAnswer: -7407613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -3 + (-84)\/(-1). Let o = 117 - c. Let s be 665\/63*3*9\/5. Calculate the highest common factor of o and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -150.8 + 7.8. Let y = d - -143.000057. Round y to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y. Suppose -2*t + 114 = 5*i, 0*i - 66 = -3*i - 2*t. Let g(q) = i + 3*q - 45 + 21. What is z(g(p))?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 974 = 2*t, 2*f + 246 + 414 = 4*t. Is f\/(6\/(-3)) + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4 and 35\/81?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4 + 6 - (-45)\/(-21)). Let a be (2\/5880)\/(l\/(-2) - 3). Let z = a - -46303\/2940. What is the common denominator of z and -43\/106?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3579 - 217096 = 3730*y + 21775 for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (4 - 4 - 22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 1136*u**2 + 510943*u + 693. Determine m(345).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487448779?\nAnswer: 173, 2817623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35213*w**2 - 55312*w?\nAnswer: -70426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2. Let a(q) = 8850*q - 1003. Let v(t) = -53*t + 6. Let p(l) = -6*a(l) - 1003*v(l). What is k(p(x))?\nAnswer: 6962*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9815 plus -42?\nAnswer: -42.9815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Let q(t) = 0 + 5 - t + a - 1. Calculate the remainder when 31 is divided by q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**2 + 131750*s + 1581720 = 0. What is s?\nAnswer: -12, 26362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) -4 (b) -1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/12)\/(4\/(-112)). Let z = i - -24. Suppose -2*s + 6*s + 5*g = 27, z*g + 11 = s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 128, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2164916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -25. Let u = x - 16. What is the nearest to -0.6 in 2\/9, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:57 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 - 3*x**2 + 0*x**2 + x**2 as u*x + y*x**2 + b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1385*o**2 - 1073*o - 33. Let t(y) = -277*y**2 - 214*y - 6. Let k(w) = -2*a(w) + 11*t(w). What is the second derivative of k(c) wrt c?\nAnswer: -554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**4 + 69 + 124 + 380 - i**3 in the form g*i**2 + y + r*i**3 + q*i**4 + k*i and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28748.8 - -28749. What is the smallest value in -39\/10, y, -7\/5?\nAnswer: -39\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1508 + -171?\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -8.4. Let g = f + 8.23. Sort g, -1\/2, -2.\nAnswer: -2, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 204 - 41. Let j(r) = 24*r + 23*r - 10 - o*r. Let s(g) = g**2 - 6*g - 1. Let h be s(6). Let q(c) = -1. What is h*j(b) + 10*q(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/7 - 3*x**3\/7 - 3*x**2 + 39*x\/7 - 18\/7.\nAnswer: 3*(x - 2)*(x - 1)**2*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88512 divided by 4?\nAnswer: 22128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/32*110\/(-385)*(-840)\/36.\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 - 462*w - 33524 = 0. What is w?\nAnswer: -58, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22019 = 4*y + 3783. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*c - 39, -2*c = -r - 0*r + 31. What is the highest common factor of 253 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -17*w. What is the remainder when 10\/(-15) - 344424\/(-1017) is divided by r(-2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -315 = -315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2736 divide 258627548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = -0*j. Suppose m - 16 = 5*b - 5, 3*m + 3*b + j = 0. Is m equal to -3\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5654 + 2206. What is h rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.99 - -0.01. Let k = g - 0.6. Which is the second biggest value? (a) -1\/3 (b) -1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 6*c**2 + 8. Let b be f(6). Suppose -b - 12 = -4*q. Suppose -4*w = -w, q*o - 40 = 2*w. What is the lowest common multiple of 4 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -21 - 9*u + 8 + 14 + 78. Determine z(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**4\/2 - t**2 - t - 3. Let x be n(-1). Put x, -3, -1\/3 in ascending order.\nAnswer: -3, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + f - 68 + 58 = 0, v - 5 + 20 = 4*f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -1.4 (c) 0.7 (d) 3\/5 (e) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y*y\/(y\/(y*y**(-5)))*y)\/(y**5*y*(y\/(y\/(((y**(-7)*y)\/y)\/y))*y)\/y)*(((y**(-1\/5)*y)\/y)\/y*y)\/(y**(1\/2)\/y)*(y**1)**(-23) assuming y is positive.\nAnswer: y**(-297\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56392 = -168*k + 115*k. Calculate the highest common divisor of 56 and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10644 is divided by 333.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*l - 75*l - 91*l = 14820 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpmmcmtpcpcxm. What is prob of sequence cmxp?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjvv when four letters picked without replacement from zjvvvvvzzzvjzv?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 680 divide 1326000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18904608.\nAnswer: 2, 3, 41, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**4\/24 - d**3\/2 - 374*d**2 + 1. Let w be 5 + (3 + -1 - 0). Give t(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1754 and -37\/22.\nAnswer: 19294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.1 + 2. Let n = -2\/79 - -247\/395. What is the nearest to -1 in -2\/5, x, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 5, -4\/5, 17\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 11:06 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 - (-2 - (3 - 5))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248369\/152 + -1634. Suppose -5*z - 4*h - 13 = 0, 3*h = z - 7 + 2. Is z smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/99 and 19\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {r: 2, t: 16}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*w + 4, 10 = 3*w + m + 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223287272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 10 + 4*l + (0 + 0 + 1)*(-l + l + l) + (-2 + 2 + 2)*(9 - 4 + 5)*(1 + 2*l - 1).\nAnswer: 45*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1035)\/2415 - (-3)\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4380)\/1800 + (-40)\/(-150).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142660 rounded to the nearest 1000?\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-2250)\/(-1001) + 2. Let z = w + 6\/91. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/44 - 46\/11. Let c be (24\/(-9))\/(d\/6). Let r be (-22)\/(-3) - c\/12. Solve 2*n - r*n = -4*k + 11, -4*k - 13 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -24 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n + 384 = 5*n. Let p be (2\/(-4))\/(n\/48). Sort p, -25, -4 in ascending order.\nAnswer: -25, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276450?\nAnswer: 2, 3, 5, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/20 - s**3\/3 - s**2\/2 - 4*s. Let l be t(-1). Which is the third biggest value? (a) 0.1 (b) -1\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17693070 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 420 + 0?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 5922394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**4\/13 - 37810*b**3\/13 + 13744662*b**2 + 178718418*b\/13 = 0.\nAnswer: -1, 0, 9453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - -8 - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024568178 to 7 dps.\nAnswer: 0.0002457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5967 and 21394503.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + -0.3. Let w = 18205.9 - 18206. Which is the closest to 1? (a) -4 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*c*m**5 - 30047*c*m**2 + 385*m**5 wrt m.\nAnswer: 1620*c*m**2 + 23100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1065*u - 20235. Determine x(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42855*h**2*p**2*s**3 - 314*h**2*p*s**3 - h**2*s**2 - h*p*s**3 + 2*h*p*s**2 - 1 wrt p.\nAnswer: 85710*h**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1333995 = -6*m + 324969. Suppose -4*w + 110592 = -2*c, -5*c + w + 2*w - m = 0. Round c to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15716)\/(-393690)*(-5982)\/(-8). Let a = r + 1\/52492. Let j = -403\/20 + a. Find the common denominator of j and 61\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (568\/2130)\/((-6)\/5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*z + 311*z + j = 9, 6 = -2*z - 2*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5474 - 4386. Round c to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 90*h - 3843 + 1080 = 293, -c + 3*h = 106 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 78*o - 493. Let r be n(-7). Suppose 0 = y - b - 4, y = -b + 4*b + 8. Suppose -y = t - 5. Solve -t = r*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -69 + 77 + -68?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/14)\/(1\/20). Let p be (0 - 2 - 0) + w. Is 3 + -1 + (12 - p) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 10:45 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjoojojjjoo. What is prob of sequence jjjj?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3035 = -247*z + 592 - 169 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -154.\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2. Let x(g) = -529600731*g. What is h(x(i))?\nAnswer: 280476934275734361*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 930, 627, 322, 15?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 m when three letters picked without replacement from {c: 4, p: 2, m: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -196*c**5 - 70272*c**4\/7 - 340464*c**3\/7 - 517000*c**2\/7 - 286836*c\/7 - 41400\/7 = 0.\nAnswer: -46, -3, -1, -75\/343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u = 75. Let a = 20 + u. Solve 26 = a*d + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -9*w + 4*w. Let t(a) = -26*a + 8. Let b be t(-8). Suppose 2*f = 2*j - 0*j + 102, w = -4*f + j + b. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - -6. Let x(z) = -2 - 1 - 2*z + 3*z. Let v be x(5). What is the greatest common divisor of c and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/(-1800))\/((-20)\/15).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2 + 749*s - 8360 = 0.\nAnswer: -760, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151\/40 - 27\/8. What is the smallest value in g, -10, -3, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1702984023 is divided by 2198.\nAnswer: 2197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y - 72. Calculate g(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -4815701112468?\nAnswer: -4815701112469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/21)\/(-2) + 96516\/1764?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -8, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2337 + 14041\/6. Which is bigger: -18\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {r: 4, e: 12, i: 2, b: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 15*p**4\/4 - 7*p**3 + 18. What is the third derivative of g(z) wrt z?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17575 - 9077. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8665 and 9385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**8\/20160 - l**5\/30 + 3*l**2. Let s(p) be the third derivative of f(p). Let b(a) = a. What is s(b(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 25 = -2*u, 5*n - 27 = 5*u - 2. Let i = 63221\/11 - 5739. Are i and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3108 and 123\/2590.\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1642692, -1642685, -1642674, -1642659, -1642640?\n\"Answer: 2*g**2 + g - 1642695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 924 + -6.83\nAnswer: 917.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 103*l - 9 = 107*l, 2*l = 5*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(1700))**2.\nAnswer: -100*sqrt(17) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) 10 (b) -1 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - j - 1 = -9, 2*j - 8 = 0. Let i(m) = -3*m + 3*m - 2*m**2 + 3*m + 6*m + 1 - 2*m**3 - 10*m. Let v be i(x). Round v to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m**2 - 7*m + 8. Let u = 1 - -2. What are the prime factors of o(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 + -147. Suppose o - 357 = -3*x - 30, 3*o - 211 = -j*x. Calculate the remainder when x is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1276621453883 plus -0.3?\nAnswer: -0.1723378546117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62504.65 centuries in months?\nAnswer: 75005580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b + 2*b = -151 + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 13. Determine u(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (3 - 4) - 40 - -51.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 7 + 49 - 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1328 - 934. Calculate the common denominator of (-2 + -1)\/(-3) + u\/(-108) and 59\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from {j: 1, n: 7, l: 1}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, v: 2, a: 3, r: 2}. Give prob of sequence ammm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 224, 194, 144, 74?\n\"Answer: -10*a**2 + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 132*j + 115. List the prime factors of s(-80).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(39)\/sqrt(3) + sqrt(117)\/(sqrt(9)*1) - ((-2*sqrt(13)*-4)**2 + -1*sqrt(13) + 1).\nAnswer: -837 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 86295 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/15*(-1)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*sqrt(11))**2 - (sqrt(22)\/sqrt(2) + sqrt(11))*-4 - 4*((sqrt(539) - (sqrt(539) - sqrt(539)*-2))**2 + 3 + sqrt(22)\/sqrt(2)).\nAnswer: -4236 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -256 + 255.8. Are -2\/15 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2614)\/264 + 6\/(-33) and (83*22\/55)\/((-48)\/(-20))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 0.294859755048735.\nAnswer: 3.294859755048735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 41*i = 37*i - 12, -5*i = -5*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 575 + -571. Find f such that -f**2 - 2\/3*f**3 + 4\/3*f + 4\/3 + 1\/3*f**l = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2 + sqrt(12))*-1 + sqrt(192)\/sqrt(4)*-1)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a - 18 = 29*a. Let m(x) be the third derivative of 1\/20*x**5 - 1\/40*x**6 + 0*x**3 + 0 + 0*x + 6*x**a + 1\/4*x**4. What is d in m(d) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004104183395 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.56 * -36.\nAnswer: 1136.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 0*h**2 - 1 - h**2 + 4*h. Let n(u) = -u**2 - 3*u + 4. Let o be n(-3). What is the remainder when p(o) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b. Let x(s) be the second derivative of -1\/12*s**4 + 14*s + 0 + 0*s**2 + 0*s**3. What is x(l(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 202201112210100 (base 3) to base 9\nAnswer: 22645710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 2, g: 2, o: 2}. What is prob of picking 1 k and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*20\/(-5)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and 1.4?\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1070, 134, 1 in descending order.\nAnswer: 1070, 134, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7096717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 9397759 + 2*c + 9397745. Let m(k) = -k + 5. Give -7*m(i) - 2*y(i).\nAnswer: -i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-9)\/(-6))\/(5\/2). Do k and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 13. Let v be d(-8). Let w(h) = h - 8. Let s be w(8). Suppose s*g = 3*g - 3. Which is the third biggest value? (a) -4 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -35511991\nAnswer: 1\/35511991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {x: 1, h: 1, y: 4, m: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 1236688950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5700 + -5723.977. Let y = -0.023 + u. Let w = -23 - y. Sort -1\/2, w, 4.\nAnswer: -1\/2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88.8 - -89. Suppose 0 = -6*t + 22 + 14. Which is the closest to 1? (a) g (b) -1\/9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 16 = -19*a + 2*f, -2*a + 4*f = -46. Sort a, -13, 3 in decreasing order.\nAnswer: a, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {t: 2, q: 2, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89248773?\nAnswer: 3, 37, 804043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1260) + -2*sqrt(1260) - sqrt(35) - sqrt(35)) + sqrt(315)\/sqrt(144))\/(sqrt(20)\/(sqrt(4)*-1)*-3).\nAnswer: -31*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -891\/7 + 127. Let h be (-10 - 82\/(-6)) + -4. Which is the closest to h? (a) -1\/5 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -84712 - -2?\nAnswer: -84710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 10. Let l(s) = 83*s**2 - 160*s. Calculate j(l(w)).\nAnswer: 83*w**2 - 160*w + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 69*p - 20. Let d be u(14). What is the units digit of 39\/2*d\/33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 7 = -78 - 59. Solve q + 3*q + 4*h + w = 0, -2 = q + 5*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 - m - 10. Let a(l) = -3*l**2 - 5. Let p(g) = -7*a(g) + 4*t(g). Calculate p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1592.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 184111 = 4*o, -9*o - 736467 = -25*o - 3*j. What is the ten thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -402, 550, 6.\nAnswer: -402, 6, 550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 + 28*g + 23. Let c(f) = f**2 + 7*f + 6. Let p(i) = 9*c(i) - 2*h(i). Let z be p(-6). Solve -4*y - 16 = 3*k + k, -4*y - 22 = -z*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7640740409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f*o**3*u**2 + 254388*f*o**3 + 435127*f*o**2*u**2 + 2*f*o*u**2 + 7*o**3*u + 63*o**2*u**2 wrt o.\nAnswer: -36*f*u**2 + 1526328*f + 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46016 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/8)\/((-4 - 4) + 198\/24).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w + 81*w + 2*a + 18 = 0, 0 = -w + 2*a + 9. Solve -2*q - 3*q + 5 = -5*c, -w*q = 3*c - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.1785.\nAnswer: -0.5355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69698?\nAnswer: 2, 34849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*w = 70*w - 7700 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-33)\/i*i*i**5 assuming i is positive.\nAnswer: i**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.06, 0, 5, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12150, -11602, -11032, -10428, -9778, -9070, -8292?\nAnswer: -7432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 5. Let m be o(10). Let b be m\/15 - 48\/(-9). Suppose -3*t + 21 = 3*c, -2*t - 11 + 4 = -b*c. Is -1 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.044 (b) 3 (c) -3 (d) -2\/13 (e) 0.4 (f) 5 (g) -13\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7868 * -2.\nAnswer: 15736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 5:56 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 72 - 18 - 3 - 4*l - 15 - 16.\nAnswer: -4*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1195060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 18. Let k(h) = -16*h - 22. Let n be k(-2). Suppose 6*a - a = n. Solve 4*x = -a*o, -5*o - l = x + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 115*f + 2036. What is the remainder when o(17) is divided by 250?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.6 - 39667.72969\nAnswer: -39681.32969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-2 + sqrt(45) + 4)**2.\nAnswer: -152*sqrt(5) + 1821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3867*16\/(-60) + 8\/10?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 237, 420, 625, 858, 1125, 1432?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 0)*(3 - 3 - 2*d) + (3 - 3 + 2)*(-3*d - 3 + 3).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(7\/((-77)\/(-22)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 18*j**3 - 5*j + 4*j.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 78*p**2 - 2*p - 3. Is 61 a factor of l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, b: 10}. Give prob of sequence hbh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55665, -111328, -166991, -222654, -278317, -333980?\n\"Answer: -55663*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7925*n**2 - 398*n**2 - n**3 + 663*n**2 + 754*n**2.\nAnswer: -n**3 + 8944*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (19 - 18) - (-10 + 9) - 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2601458 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*g = 105*g - 174*g - 211*g - 18447 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1141 (b) -69 (c) -3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**3 + q**2 + q + 4. Let w(m) = -m**3 + m**2 + m - 1. Let g(p) = o(p) - w(p). Differentiate g(y) wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 29 = 92*i - 95*i, 4*w = w + 19*i - 74 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 62804, 125609, 188414, 251219, 314024?\n\"Answer: 62805*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 254*x - 2. Let b be d(1). What is the hundreds digit of (-7)\/(b\/(-8)) + 1168\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -20*k**3 - 18*k**2 - 24*k - 42. What are the prime factors of c(-8)?\nAnswer: 2, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 3*r + 4, 2*k = -2*k + 3*r + 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4249920865 to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 3 - 21 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5621.\nAnswer: 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 1842348 = 154812. Suppose 16380 - r = -15*a. Round a to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14*3\/(-444)*(-6)\/(-15). Let b = d - 2324\/185. Let q = -20599\/70 + 2013\/7. Find the common denominator of b and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -13*v**5\/5 + v**2 - 13*v - 47. What is the first derivative of m(p) wrt p?\nAnswer: -52*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 72*t - 34. Let i(z) = 31*z - 21. Let x(n) = -7*i(n) + 3*r(n). What is x(7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.66*5.3\nAnswer: 51.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d**2 + 4*d + 1. Let w be (-4)\/(-12) - (-28)\/6. Let c(u) = -w*u + 19 + u + 6*u. Let f be c(-8). Calculate x(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1084154 greater than -1084140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (25 + -14 + -19 - -10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -254.3 + 292. Let m = x + -38. Which is the second biggest value? (a) m (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/(3\/(-18)). Let x(q) = -3*q**2 + 2*q**a - 3*q + 0*q + 2*q + 3. Give x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {i: 9, n: 2, g: 2, b: 5}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + 5. Suppose -7*o + n = 2. Solve -7*w = -o*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25a56 (base 11) to base 7.\nAnswer: -213323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1177*p + 930?\nAnswer: 1177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.33 - -26. Let a = -0.65 + 0.93. Let d = m + a. What is d rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3))**40*j**16*j**(-24))**(-8) assuming j is positive.\nAnswer: j**1024","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 69*x = 74*x + 327, x + 645 = 4*c. What is the greatest common factor of 299 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 760 - 740. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 = -4*x + d - 337, 2*x + 30 = 5*d. Let m(b) = -b**3 + b**2 + 32*b + 24. Let k be m(x). Let l = -25 + 36. Solve -5*w = -l - k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228\/608 - (-1476)\/(-96)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1114875 divided by 75.\nAnswer: 14865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrfffasfrrsaf. What is prob of sequence ff?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/1299 + -3850\/61053. What is the smallest value in o, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -6)*(-3)\/20*-4\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43 + -2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkpoptpkkkdpkokkdkk. What is prob of sequence ppp?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, 330, 1031, 2012, 3273, 4814, 6635?\nAnswer: 8736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m + 9. Let o(y) = 3*y**2 - y + 5. Let g(u) = 6*u**2 - 3*u + 10. Let b(f) = 3*g(f) - 7*o(f). Let p(z) = 2*z**2 + z + 4. What is m*p(x) + 3*b(x)?\nAnswer: -x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*d - 36*d - 12. Calculate the highest common divisor of d and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-135)\/(-150))\/((-12)\/10). Let l = 0.08 + 0.02. What is the third smallest value in -0.4, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*z - 42, 2*z - 54 = 8*l - 4*l. Let c be ((-54)\/24)\/(2\/8). Let m = c - l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.018 - 0.438. Let y = 0.41969 + n. What is y rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 5*q + 4. Let p = 4 + 1. Let y be n(p). Solve 0 = -y*b - m, -4*b = -0*m - m - 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/40 and (13 - 16)*5\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*q = 22, 19*q + 57 = 2*m + 16*q. Solve 0 = m*b - 19*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.4, 2567?\nAnswer: 2567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - i**2 + i + 1. Let g(k) = -4*k**2 + 2*k + 2. Calculate 2*f(o) - g(o).\nAnswer: -2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(2\/11)\/o*o*o**(-3)*(o**(1\/3)*o)**(-25)*(o**(-2)*(o\/o**3)\/o*o)\/(o\/(o\/(o*o*o*o**0*o))*o*o)**3 assuming o is positive.\nAnswer: o**(-1853\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 0.02555156147908.\nAnswer: -0.07444843852092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -64091, -127694, -191297, -254900, -318503, -382106?\n\"Answer: -63603*v - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 327.8826 from 0.2349698.\nAnswer: -327.6476302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-121)\/22 + -4)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -11.8. Let l = -3343.14 - -3343. Do l and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4625075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from khkhkqqkqyq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 4*z - 20 = 0. Let f = -15 - z. Let u(r) = r**2 + 10*r + 4. List the prime factors of u(f).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94)\/(-240) + 18\/45 - 192\/1152?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 886561571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10329*x**2 - 2*x + 4. Let k(u) = 82627*u**2 + 17*u - 35. What is -2*k(d) - 17*l(d)?\nAnswer: 10339*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/42253 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(17) + sqrt(17) + (2*sqrt(17) - sqrt(17)) + (sqrt(17) - (sqrt(17) - sqrt(68)\/sqrt(4)))**2*6)*5.\nAnswer: 15*sqrt(17) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*r - 5*m - 3, -2*r - 4*m = -10. Let j = 3 - r. Suppose 2*o = -4*w + 40, 4*o + 5*w + 36 = 101. What is the greatest common divisor of j and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273 + 510. Suppose 5*b + 3*t = j, 3*b = -2*t - 3*t + 155. Calculate the highest common factor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -224.69998713 - -224.7. Round y to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 + 1.77. Let c = -0.07 + r. What is the closest to c in 5, 0.4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 7*d - 12. Let t(a) = a**2 + 5*a - 1. Let b be t(-6). What is the third derivative of -l**2 - d*l**b - 1 + 1 wrt l?\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4258160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + c)*(81 - 131 - 69 - 81).\nAnswer: -200*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 + -37.84. Let h = y - 93. Let a = h - -119.7. What is a rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:40 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4 - 212*z**3 - 12042*z**2 + 52412*z + 64240 = 0.\nAnswer: -44, -1, 5, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*h - 3*h. Suppose 4*i - q = 160, -q + 80 = -i + 3*i. Suppose 0 + i = 5*x. Calculate the least common multiple of h and x.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5\/4)*(-5 + 4 - -2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -15*f - 538. Determine t(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 24. Let q = -10808.997 - -10816. Let c = q + h. What is c rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20731.9368 rounded to the nearest 10?\nAnswer: -20730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28592*115\nAnswer: -3288080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n**2 - 3*n + 86. Is d(13) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -884a41a (base 11) to base 6.\nAnswer: -1312533151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c + 0*c + c**2)*(14*c**3 - 55*c**2 + 55*c**2).\nAnswer: 14*c**5 + 28*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(7\/6))\/(l\/(l\/(l*l**24))))\/(l**(-18\/11))**(7\/8) assuming l is positive.\nAnswer: l**(-2825\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 2:02 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 30 + 300. Let v = f - -92. What is the least common multiple of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/(24\/32). Let z = 51 - 49. Solve -u = z*n - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g**2 + 7*g + 2. Let c be f(-6). Suppose 322*j - 13594 = 12*j + 8416. Calculate the greatest common divisor of j and c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 2*t**2 + 4*t**2)*(1 + 1 - 3)*(-4 + 3 - 1)*(-2 - 5 + 2).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aamameaemamma. What is prob of picking 4 m?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/2682, -5, 1.4, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 252 + -118. Let b = 703 + i. What are the prime factors of (5\/20 - b\/4)\/(-1)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65463566 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*r - 43, 5*n + 41*r = 46*r + 120. Are 8 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 9:51 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j**5 - 93*j**4 + 294*j**3 - 372*j**2 + 198*j - 36. Let v(d) = d**5 - d**3 - d**2 + 2*d. Let z(s) = -n(s) - 3*v(s). Let z(q) = 0. What is q?\nAnswer: 1\/3, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12358 + 23*k**3 - 24755 + 12397.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23024758*c**5 + 100173445*c**2 + 2?\nAnswer: 1381485480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2668*v**4 + 56040*v**3 - 53612*v**2 + 240*v = 0.\nAnswer: 0, 3\/667, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268 and 1474?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1.8297463\nAnswer: 3.6594926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 10*f - 21. Let v be p(9). Let n = -276 - v. Let z = -19 - n. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y - 19. Let g be k(13). Let w = -81 - g. Let q(t) = 112*t**3 - 230*t**w + 117*t**3 + 9*t + 7*t**2 - 10. Give q(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**2\/2 - m. Let z(x) = x**2 - 2*x + 1. Suppose -5*d + 7*d = 6. Suppose d + 2 = 5*v. Calculate v*b(c) + z(c).\nAnswer: c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w + 2. Let g(s) = s + 7. Let p be g(-3). Is m(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4601 + -4358. Calculate the remainder when p is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millisecond in microseconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55e (base 16) in base 4?\nAnswer: -111132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*k + k. Let f = 32 - k. Let r be 2\/5 + f\/(-25). Are r and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 4*j**2 - 3\/4*j**4 + 0 + 13\/6*j**3 + 1\/20*j**5 + 8*j. Let p be m(7). Is p >= -1\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5420\/31 + 114316\/651. Factor 32\/21 + 0*m - s*m**2 + 2\/21*m**4 + 0*m**3.\nAnswer: 2*(m - 2)**2*(m + 2)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and -0.4?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123384 by -4.\nAnswer: -30846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**2*j - 4883*i**2 - 201*i*j - i + 11*j - 1 wrt i.\nAnswer: 6*j - 9766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 3355 = -58*t + 25*t. Calculate the remainder when 32502 is divided by t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 5*y = -5712. Let p = y + 311. Suppose 4*h = j - 18, 0 = 2*j - 3*h - 31. Calculate the remainder when p is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3002231 - 4?\nAnswer: -3002240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 267 - 265. Let u be -6 + 2 + 3\/(9\/21). Suppose 16\/3*n**r + 2\/3 - 11\/3*n - 7\/3*n**u = 0. What is n?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -452*m**2 + 1747*m.\nAnswer: -904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 10:06 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17353408*o**3 + 62114*o - 71 wrt o?\nAnswer: 104120448*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -21*a**2 + 41*a + 8990. Let y(p) = 14*p**2 - 29*p - 5994. Let n(b) = -5*l(b) - 8*y(b). What is the derivative of n(z) wrt z?\nAnswer: -14*z + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 612 and 206754?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/68 - 4960\/(-544)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4492469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -179, -270?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1214928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + 23*m + 106. Let f be j(-4). Is (-47)\/f + 121\/2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(1053))**2 - (1 + 0 + sqrt(1053))**2) + 2*(4 + (sqrt(1053) + 0)**2*5).\nAnswer: -18*sqrt(13) + 13696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*h + 113 - 143, k = h - 7 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 325876*r + 21516528.\nAnswer: -2*(r - 66)*(r + 163004)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -4)*(1 - 34\/(-4)). Which is smaller: 17 or p?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + -2*sqrt(77))*-3 - 5*sqrt(77)*2)\/(6*5*sqrt(77)\/sqrt(7)))**2.\nAnswer: 343\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 + -3.1. What is the second smallest value in -3, k, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 20. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 27 + 8)*(-2*f**4 + f**4 + 0*f**4).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3\/5 (c) 2996 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/884 and -73\/12.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(420) - ((sqrt(420) - (1*sqrt(420) - sqrt(420))) + sqrt(420))*-6) + sqrt(420))\/(sqrt(567)*1))\/((2*sqrt(192))\/(sqrt(704)\/sqrt(11))).\nAnswer: 14*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*1*125\/(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/17 - 2988*z**2\/17 - 1202880*z\/17 - 63569344\/17 = 0.\nAnswer: -716, -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d + 456*d = -26008 + 1270 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1717900, 6871592, 15461080, 27486364, 42947444?\n\"Answer: 1717898*y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.28486934 - -0.2842. What is b rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**3 - 16*z**2 - 20*z - 35. What is the hundreds digit of o(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6))\/((-8)\/876). Suppose t = 3*y + 3*v - 149, -5*y + 4*v = -352. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a769 - 9?\nAnswer: 1a760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -15. Let j be (-39)\/5 + 3\/l. Let t be (11\/33)\/(j\/(-30)). Which is greater: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68.99744 + -0.00256. Which is the biggest value? (a) 3 (b) 1 (c) l (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2033*b + 6. Let f(t) = 8143*t + 27. Let i(m) = -2*f(m) + 9*o(m). Let k(h) = -2*h**2. Determine k(i(w)).\nAnswer: -8088242*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3*i*q - 318*d**3*i - 2*d**3 - 820*i*q with respect to q.\nAnswer: -2*d**3*i - 820*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {c: 7, v: 2, o: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*n = 11, -5*i + n - 20 = 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 136.3 and 18.\nAnswer: 2453.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/23 - 5) + (-12)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170348 = -4859*a + 93244 + 53997 - 84357 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30230802, -60461608, -90692414?\n\"Answer: -30230806*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/2 (b) -8 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 550 = 3*d. Let r be 3\/(14\/8 + -3 + 2). Suppose 5*g = -r*u + 97, 3*g + 63 = 2*u - 2. What is the remainder when d is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 10. Which is the third biggest value? (a) 5 (b) q (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -67*c**4\/2 - c**3\/3 + 275*c**2 - 1021*c. Find the first derivative of h(v) wrt v.\nAnswer: -804*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**4*q - 24*j**3*q + j**3 - 16*j**2*q wrt j.\nAnswer: 48*j*q - 144*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2136, 1739, 1020, -21?\n\"Answer: -161*p**2 + 86*p + 2211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmqm when four letters picked without replacement from {w: 2, m: 3, k: 1, q: 2, z: 1, e: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 381356778 a multiple of 1034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + -5 + (-3807)\/(-360) + -8 + 2 and 51\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/432)\/(-7*10\/(-630))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 200 = 6*p, 5*p = -3*y + 2*y + 253 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 36 = 5*d. Suppose 0 = 2*q + 20 - 28, 584 = 5*z - d*q. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 5*t**2 + 2*t + 5. Let v = -5 - -12. Let r be v - 6 - (-4 - -1). Determine o(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 24*w**2 - 72\/7*w + 4*w**4 - 122\/7*w**3 - 2\/7*w**5.\nAnswer: -2*w*(w - 6)**2*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1224084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (360*y - 51*y + 38*y - 33*y - 117*y)*(3*y - y + 0*y) to the form h*y**2 + u + k*y and give h.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 2461104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10374557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -381 + 378. What is the nearest to 1 in 0.2, v, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 8*d - 16. Determine r(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7295? (a) -4 (b) -5\/4 (c) 43\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 56. Let n be 17 + (-3 - (-1 + 0\/q)). Suppose 5 = -z + 11. Calculate the highest common divisor of n and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*q + 2*a - 198, -202 = 5*q + 2*a. Let h = q + 48. Calculate the least common multiple of 46 and h.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*v - 75, -v - 4*v - 1 = 2*t. Is 6399\/12 - 3\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 0, 892, -3, 98 in ascending order.\nAnswer: -3, -1, 0, 9, 98, 892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 - -101133011023?\nAnswer: 101133010412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17cc (base 15) to base 4.\nAnswer: -1100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 6*f + 1737 = 0. Let o = -181 + f. Suppose -8*n + o = -282. What is the highest common factor of n and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 13 - 13)*(-1 + 0 + 2 + 5 - 4 - 2 + (0 + 0 - 1)*(-1 + 1 + 1) + 1 - 2 + 2 + (3 + 0 - 6)*(2 - 6 + 2) + (2 + 2 + 4)*(5 - 1 - 3)).\nAnswer: -70*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkw when three letters picked without replacement from kkkkkwkk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = -12 - 30. Let o(n) be the first derivative of -n**4\/2 + n**3\/3 - 3*n**2\/2 - n - 1. Is 17 a factor of o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2753 or -5591?\nAnswer: -5591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1.843033 hours?\nAnswer: 6634.9188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from arumdmm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/84 + (-1225)\/(-980) + (298\/679 - 1)?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -16719?\nAnswer: -16719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29909 is divided by 2136?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 146537516 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b**5*f**3 - 95*b**3*f**3 + 12*b**2*f**3 + 163*b**2 wrt b?\nAnswer: 420*b**2*f**3 - 570*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) 3564\/5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98960 is divided by 98950?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**5\/10 + 2*w**2 + 6*w + 1. Let f(s) be the first derivative of t(s). Differentiate f(y) with respect to y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9345 divided by -9345?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 25*k**2 - 68*k + 38. Suppose -5*z = -4*i - 98, 4*i + 52 = 8*z - 112. Give l(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -559.741 + 560. Round i to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/9 + 302*c**3\/9 - 1732*c**2 + 309568*c\/9 - 1818880\/9 = 0. What is c?\nAnswer: 10, 29, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 4:27 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 170\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -47875 * -0.2\nAnswer: 9575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*w**4 - 7*w**3 + 3987*w - 2722774 wrt w.\nAnswer: -48*w**3 - 21*w**2 + 3987","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821786960?\nAnswer: 2, 5, 167, 61511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4 - 32074*k**3 - 15737*k**2 - k.\nAnswer: 24*k - 192444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21920779 and -62.\nAnswer: -21920841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -90784.6 * -3\nAnswer: 272353.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o. Let m(t) = -36*t. Determine -4*m(j) + 108*w(j).\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -147*v**2 - v + 1. Let q(y) = y**3 + y + 1. Determine -j(r) + q(r).\nAnswer: r**3 + 147*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsssssstcssfccccfscs. Give prob of sequence ss.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-32))\/(2\/8). What is the closest to 4 in -4, x, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*m - 3*t + 45, -3*m - t = 11. Suppose -10*k + 10 = -5*k. Put k, -2, m in decreasing order.\nAnswer: k, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from rhrhvbhvbewbbhhhvh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) 0.5 (c) -74 (d) -35 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(1\/2)*v))\/v*v*v*v**(-1\/8)*v**6\/v**(-1\/4) assuming v is positive.\nAnswer: v**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and -43771.1.\nAnswer: -1050506.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27750491 and 3?\nAnswer: 83251473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 8:18 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -59*t**4\/24 - t**2 + 536. Let f(v) = 5*v - 2. Determine p(f(y)).\nAnswer: -295*y + 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b - 8. Suppose o = 2, -f + 4*o = 2*f + 11. Let n be j(f). Let l be (8 + (-126)\/15)\/(7\/n). Are 1 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 337233 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 334, 5 in descending order.\nAnswer: 334, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/((m*m**(2\/11))\/m))\/m)**(-27\/2) assuming m is positive.\nAnswer: m**(-243\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 + 135*r + 140. Let u(w) = w**2 - 34*w - 35. Let f(x) = 6*g(x) + 25*u(x). Find v such that f(v) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(252) + -2 + sqrt(252) + 0 + -4 + sqrt(252)*1 + sqrt(252) - ((-3*sqrt(252)*1 - sqrt(252)) + sqrt(252) + 6*(sqrt(252) + 1))) + -2)**2.\nAnswer: -192*sqrt(7) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -2665147\nAnswer: 52\/2665147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -3, 17, 1 in decreasing order.\nAnswer: 17, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091671 to the power of 1\/2, to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 8)\/(1\/(-8)). Factor -6*t**2 + 2*t + 10*t - 4*t + s.\nAnswer: -2*(t - 2)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*w - 1 + 192*w - 571*w + 193*w.\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -103\/375825 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009463 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4*x - x + 13*x - 7*x to m*x + n and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -4 (b) -2\/7 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (7586\/(-3))\/((-56)\/84) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -18*u. Let l(h) = -5*h + 11*h - 7*h. What is i(l(b))?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 + 39 + 8*p**3 - 12*p**3 + 14*p**4 with respect to p.\nAnswer: 56*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*t - 80*t - 163 = -3*g, -2*g = -4*t - 102. Differentiate -g + 15*n - 8 + 15 - 42 with respect to n.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1146*x - 4114 - 1785 + 983*x - 7560*x - 2064*x with respect to x.\nAnswer: -7495","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/325*(-175)\/56.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 2*y - 2*y - 2*y**4 - 22798 + 23053 + 4*y**3 to b + z*y**2 + r*y + u*y**4 + m*y**3 and give b.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkjjjkzz. Give prob of sequence zz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72737 + 3?\nAnswer: -72734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 3*y + 5. Let i be c(-3). Let a(n) = -n + 7. Let q be a(5). Put q, -3, i in descending order.\nAnswer: i, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.73042km in meters?\nAnswer: 40730.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 50?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*n - 2*l, -69*n - 19*l = -70*n + 114 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -70738, -69904, -69082, -68278, -67498, -66748?\n\"Answer: -b**3 + 841*b - 71578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + 2*n - 1. Let a = -5 - -5. Suppose a = m - 0*m - 1. Determine o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 30*t - 628. Let u be l(21). Solve -101*c + 6 = -97*c + u*z, -1 = -2*c + z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 133, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, 15, 30, 45, 60?\n\"Answer: 15*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52521 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0 (b) -2 (c) -6 (d) 2\/7 (e) -1 (f) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.3, 4, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*p**4\/8 - 30*p**3 - 381*p**2\/8 - 21*p = 0. Calculate p.\nAnswer: -7, -1, -8\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64 + -366?\nAnswer: -3ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -100376*v + 15398.\nAnswer: -100376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 + 2*g**3 - 3*g**3)*((-1 + 2 + 0)*(0 + 0 - g) + 2*g + 2*g - 2*g + (-3 + g + 3)*(3 + 3 - 4) + 0 + g + 0 - 1 + g + 1).\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in -0.3, -12\/101, 1\/4?\nAnswer: -12\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.981706 + -31. Round u to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:46 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769*d**3 - 383*d**3 - 384*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1158 divide 21033912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14319 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -435554*b**2 + 7*b + 7. Let o be h(-3). What is o rounded to the nearest 100000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18263145 (base 9) to base 6\nAnswer: -525022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 6 = 0. Let l be (-12975)\/(-5)*1\/n. Let d = 1728 - l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = g + h - 33123622, -3*h = -2*g + 66247230. Let w = g - 10022120. Let r = -74901492 + w. Round r to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5ba8 (base 12) to base 8\nAnswer: -24160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -51. Sort -5, -4, v in increasing order.\nAnswer: v, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*d + 16, -5*l + 3 = -2*l - d. Let g be l + (-6)\/(-3) + 3. Suppose 4*m - g*m = 4*b - 3641, -m + 1213 = b. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16286, -32569, -48852, -65135, -81418, -97701?\n\"Answer: -16283*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -838.854 rounded to the nearest integer?\nAnswer: -839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3033448\/43 - 70549. Let d be 4\/(-14) + 53735\/12040. Let x = l - d. What is the common denominator of 15\/4 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 7*t**2 - 6*t + 6. Let c be h(6). Let g(i) = 1 - 9*i + 0 - 3 + 3 + 2*i**2. Is g(c) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from qllqjlqqll?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 10:22 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(2 - 1)*1. Suppose -5*l + c*l = 0. Suppose h = 2*h + 5*p - 16, l = -3*h + 4*p + 10. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-20\/3)\/m))\/m**(2\/17))\/(m**(3\/19))**(8\/3))**(-2\/31) assuming m is positive.\nAnswer: m**(-15752\/30039)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:02 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 2 + 0 + -2. Let g(p) = -8*p - 22. Let x be g(-4). Let f(v) = 5*v - 46. Let j be f(x). Sort j, m, -1, -12 in decreasing order.\nAnswer: j, -1, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1.5 (b) -1 (c) -10 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313024.\nAnswer: 2, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 31. Let s be (7 + -12)*g\/(-10). Put -4, s, 2 in descending order.\nAnswer: s, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 d when three letters picked without replacement from {a: 3, c: 13, d: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*65\/(1950\/(-120))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**4\/4 - 7*z**3\/3 + 9*z**2\/2 + 12*z + 21. Calculate l(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*z*z\/(z*z*z**(-1\/10)\/z)*z*(z*z**(2\/21))\/z assuming z is positive.\nAnswer: z**(1091\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2879795*d**2 - 8*d**3 - 2879795*d**2.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*r - 5*d, 0 = 5*r - 0*d + 5*d - 30. Let w be ((-14954)\/6)\/(1\/(-3)). Suppose r*g + w = -42123. What is g rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 times -51?\nAnswer: 20145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 17. Suppose 2*x - 4 - 35 = -l, z = -x + 5*l. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z + 7. Let m be 48222\/8883 - (-2 - 51\/(-21)). Let a(j) be the third derivative of -j**4\/3 + j**3 + 2*j**2. Calculate m*a(t) - 4*h(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*w - 24*w - 3185. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457.6254 months to decades.\nAnswer: 3.813545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147630 is divided by 10466?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let m(z) = -z - 1. Suppose -5*f + 10 = -3*f. Let p(c) = f*l(c) + 4*m(c). What is p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -249 + 0*k - 3\/2*k**2. Let s(r) = -108*r**2. Calculate b(s(c)).\nAnswer: 324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2531, 2551, 2583, 2627?\nAnswer: 2683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*z = -8*w - 46, 18 = -2*w + 3*z for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-1096)\/(-180))*(-3)\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-222)\/592)\/(1\/4*3))\/(36\/(-2664))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-90)\/(-40))\/(3\/1))\/((-46)\/920).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 13*v + 7*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0167 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5191099, 20764459, 46720061, 83057905, 129777991?\nAnswer: 186880319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 9\/10 (c) -4.7 (d) 1\/2 (e) 4 (f) 104.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven quarters of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -4. List the prime factors of (1 - 1) + d + 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.036125 + -213.353875. What is j rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01188855 rounded to four decimal places?\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 399*n**2 - 4*n + 5 + 17*n - 699*n**2.\nAnswer: -1098*n**2 + 8*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 2:21 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1159038.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 45*v + 19. Let b be a(22). Is 86 a factor of -43*(-23 - 5) - (3 + b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -11. Let s(c) = c - 6. Give s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.2 - 11.2. Let c(y) = y. Let n be c(2). Is f > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 6608 = -1408. Suppose 3*l = -l. Suppose l = 2*j + 2*j - g. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1859, 7416, 16671, 29618, 46251?\nAnswer: 66564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) -1\/7 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2016\/(-576)*24\/16*(-24)\/(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -444 - -442.4. Sort -4, z, 2\/11, 3.\nAnswer: -4, z, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**28*z*z))**(-2\/15)\/(z*z\/((z*(z\/(z*z\/z**(-3\/7)))\/z)\/z))**(7\/5) assuming z is positive.\nAnswer: z**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2210)\/(-286) - 18\/(-66)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -58, -76, -92?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbqb when four letters picked without replacement from {b: 7, q: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*z**3 - 107*z**3 + 53*z**3.\nAnswer: 486*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 3*g**2 + 4*g. Suppose 2*j = -d - 8, -2*d = j + 9 - 5. Let o be k(j). Calculate the greatest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 203, 443, 771, 1181, 1667, 2223?\nAnswer: 2843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n. Let f(d) = -d**2 - 5*d + 1. Let x(l) = -3*f(l) + 5*k(l). Factor x(v).\nAnswer: 3*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278463 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57673200 or -57673197?\nAnswer: -57673197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.4, 2\/15, -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - n = -205, -5*n + 0 = -h + 15. What is the remainder when 118 is divided by h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 35248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 96636 divided by -12?\nAnswer: -8053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -477*w**2. Let k(o) = -2*o. Calculate k(h(x)).\nAnswer: 954*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-10)*26\/(-4). Let y = 4\/5 - q. Sort 0.3, 3, y.\nAnswer: y, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5407*z - 54012. Calculate v(-10).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**3 + 4*f**2 + f - 4. Let h be n(3). Calculate the remainder when h\/(-6) - 1\/(-3) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 142*n - 139*n - 70530 = 0, -4*q = -2*n - 94058. List the prime factors of q.\nAnswer: 7, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -431*w - 2. Let j be i(-1). Let h = j + -274. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5214*f*g**3 - 105*f*g**2 + 19*f*g + 7*g**4 + 4*g**2 wrt g.\nAnswer: -31284*f + 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 636, 5235, 17716, 42021, 82092?\n\"Answer: 657*v**3 - v**2 + 3*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**19*n**10*(n\/(n**15*n))\/n**(1\/9))**(-42) assuming n is positive.\nAnswer: n**(-1750\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330723718?\nAnswer: 2, 13, 223, 57041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6214526807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-895)\/(-80)*-1095. Let w = x + -12252. What is the common denominator of ((-217)\/(-1984))\/((-1)\/4) and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 691123 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 6*c**2 + 31*c**2 + 8*c**2 - 54*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 420 = 3*a. Suppose -5*d = -75 - a. Let c = -3 + d. What is the smallest common multiple of c and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630\/540*(-9)\/7*640\/60.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*x - 24, -5*v + 8*v = 2*x - 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i = 5*i + 108. Calculate the highest common divisor of 12 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 183 + -290 + 182 + (1 - -10)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2. Let c be 9\/3 + 4*-1. Let y(o) = -o**2. Let r(l) = c*a(l) + 5*y(l). Let x(q) = -6*q. Determine r(x(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, v: 2, p: 3}. Give prob of sequence fff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 14*d**2 - 11*d - 17. Suppose -5*u = -0*h + 3*h - 44, h - u = 12. Let c be f(h). Find v, given that 1\/3*v**3 + c*v - 9 - 3*v**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 455521 - 1660?\nAnswer: 453531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = 130*g - 665. Solve 0 = -g*n - 88*a + 87*a + 17, -4*a + 8 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + -8279.498?\nAnswer: -8279.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.1 - -2. Let p = 0.9 + t. Which is the nearest to -0.2? (a) -3 (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67932?\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1484849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 6. Let f(h) = h**3 + 6*h**2 - 8*h - 4. Let m be f(-7). Let g be n(m). Which is bigger: g or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -281, -21, 4, 5 in decreasing order.\nAnswer: 5, 4, 1, -21, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 86 = 11*o. Let w = o + -21. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 83, -4, 2725 in ascending order.\nAnswer: -4, -3, 83, 2725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 4*w**2 - 1368*w - 8262. Determine t(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178*l = -1058*l - 1320 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(4*c + c - 3*c) + 115*c + 38*c + 17*c - c + 0*c + 0*c.\nAnswer: 165*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 36. Let u be c(-22). Suppose -2*w + u = -14. Calculate the smallest common multiple of w and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 367870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 153, 155, 53, -189, -607, -1237, -2115?\nAnswer: -3277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15587*2.\nAnswer: 0.31174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -10. Suppose 2*x = 2*q + 3*q + 38, i = -3*q + 2*x. Suppose l + 3 = -3. Is q at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and -82365.\nAnswer: -82364.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -35*w**3 + 29*w**2 + 11*w + 22. List the prime factors of j(-6).\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 12. Suppose -7 = o - 2*v, o + 3*v + r = 4*v. Is 33 a factor of ((-386)\/(-6))\/(1\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 82 - 32\/56*7\/2. Suppose -k = -5*n - 90. Which is the closest to n? (a) 3\/5 (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -1b0?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 5352 = 6066. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(128)*-2 - sqrt(128)) + -2 + 5) + (sqrt(128) - 5*(sqrt(128) + -2)) + sqrt(128)*1 + 4)**2.\nAnswer: -10752*sqrt(2) + 57472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8716522 months in millennia?\nAnswer: 0.00023930435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/22 and ((-298)\/(-12))\/(14 - 11).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -707.\nAnswer: -2\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 525\/60 + 5*40\/(-25)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4 - 368*d**3 + 4792*d**2 + 26480*d - 30900 = 0. Calculate d.\nAnswer: -103, -5, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + r + 2. Suppose -5*m - 20 = 4*c, 5*c + 20 = -2*m + c. Let h be w(m). Solve -3*q + q = -4*y - 14, 3*y + 9 = h*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0242 - 0.0242. Which is the nearest to 1\/2? (a) -4 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) - (1 + sqrt(12)))**2 + -1.\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 23 = 3, 3*y + k - 37 = 0. Let a = -12 + y. Let u be 7*(-2)\/(-14) + (-7 - -1). Put u, a, -4, 2 in descending order.\nAnswer: 2, a, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.62+-2494324267\nAnswer: -2494324266.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 46. Let k = z - 35. Solve 4*u - 13 = g - k*g, -5*u + 8 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11956.3523 to the nearest 10.\nAnswer: -11960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 1\/8*u**4 + 9\/40*u**5 + 1\/15*u**6 + 0 - 17*u - 3\/4*u**2 - 5\/12*u**3. Factor v(y).\nAnswer: (y + 1)**3*(4*y - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 - -0.83. Let b = -6.47 - i. Let v = 7 + b. What is the smallest value in v, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 5*u + 9, 0*u = s + 2*u + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + -1 + -2 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {a: 1, p: 1, u: 4, t: 8, s: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6233 and 273981.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*h + 7, -7*h + 16 = 2*x - 12*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/8))**(3\/17) assuming n is positive.\nAnswer: n**(27\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 9?\nAnswer: -65\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1059 - -1050)\/(1\/5).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68.132 + -0.132. Let v = 68.5 - g. What is the fourth smallest value in -4, -2, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*o - 53*o + 292*o - 96*o - 116*o.\nAnswer: -85*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v + 2*u, 6 + 10 = 4*v - 3*u. Let h(l) = -7 - 3*l + 2*l**2 + 3*l. Let b(c) = c**2 - 1. Suppose -15*y - 22*y + 25 = -62*y. Give v*b(g) + y*h(g).\nAnswer: 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 13. Suppose -5*l + 6 = -39. Let j be 8\/12*2*l. List the prime factors of d(j).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2431.035 - -2431. Let s = 27992.965107 - 27993. Let p = s - z. Round p to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 664\/5*d + 110224\/5 + 1\/5*d**2.\nAnswer: (d + 332)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/5 + 2368\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/9))\/(j**(-1\/5)*j)*j**(-1\/3)*j**(1\/2)*j assuming j is positive.\nAnswer: j**(103\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p\/(p\/(p**0\/p)))\/p)*p**8*(p*(p\/p**0)\/p)**(-2\/21) assuming p is positive.\nAnswer: p**(229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -988?\nAnswer: 988.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71277.\nAnswer: 3, 23, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.61 - -1.49. Let g = 16 - n. What is the closest to g in 0.2, 5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 3*h. Suppose m + 208 = h*m + 5*p, 3*m - 2*p = 236. Calculate the greatest common factor of 38 and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(2) + -2)**2.\nAnswer: -6*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5430651 (base 7) to base 14\nAnswer: 133898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*g + 2324 - 2906 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 3*o + 5*o + o. Let u(w) = -6*w**2. Let g(a) = -a**2. Let q(v) = -4*g(v) + u(v). What is q(f(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3 + 9*o + 5 + 6*o**2 - 16 + o - o**3 - o = 0?\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-13 + 37 - 52)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = -16 - 84 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-9)*-2 - (-169)\/9. Let l be 1 + -3 + 0 + f\/7. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24 = q. Calculate the remainder when 31 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 10*b**2 + 9*b + 8. Let v be w(-9). Suppose -2*a + v = -a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 9*p - 9. Let y be l(-7). Suppose 0*h = -5*h - 15, 2*o + y*h - 7 = 0. Suppose -2*n = -7*n + 100. What is the remainder when n is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 0*q - 28*q**2 - 101 + 56\/3*q**3. What is the second derivative of a(y) wrt y?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46830000 to the nearest one million.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*a + g - 59424, 0 = -4*g + 16. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -253019 and -0.7.\nAnswer: 177113.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -29*k**7\/42 - 13*k**3\/6 + 30*k - 35. Let p(j) be the first derivative of n(j). Find the second derivative of p(w) wrt w.\nAnswer: -580*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3 - 1752*f**2 - 5829120*f - 2543804416 = 0?\nAnswer: -736, 2348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*v**3 + 8 - 2*v - 30*v**3 - 103*v**2 + 102*v**2 to u*v**2 + n*v**3 + z + i*v and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 0 - 2)*(-6 - 2 + 4)*(1 + t - 3 - 3).\nAnswer: -24*t + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2074, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/19, -1\/8, -1\/23, 0.2, -1937?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j. Let v(o) = -12*o. Let n(h) = -h. Let l be (18\/12)\/((-1)\/6) - -3. Let k(y) = l*n(y) - v(y). Determine p(k(g)).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f - 277. Calculate q(28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.235069 nanograms to milligrams.\nAnswer: 0.000002235069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 6:36 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -58*i - 42. Let b(l) = 19*l + 13. Calculate -16*b(w) - 5*q(w).\nAnswer: -14*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10458, 16615, 22772?\nAnswer: 28929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98486 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2314 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(55) + sqrt(55) + sqrt(275)\/sqrt(5)*1)\/(-4*sqrt(11)*-4)*-5)**2.\nAnswer: 10125\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15579497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 - 5*n. Let a(v) = -5*v**2 + 6*v - 1. Let y(i) = -3*a(i) - 4*m(i). Let b be y(-2). Let g = 2 - b. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -227 + 237. What is the remainder when p is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6698039, -6698007, -6697953, -6697877, -6697779, -6697659?\n\"Answer: 11*i**2 - i - 6698049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 5:46 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m + 10. Let r(u) = 7*u - 1 - 4*u - u - 3*u. Give i(v) + 8*r(v).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 81854580 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 105 - 15 - 6*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 2 + (-1 + 0 + 2)*(-1 + 1 + 1))*(0*d + 2*d + d).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - z**2 - 5)*(69 + 7 - 16) to m + g*z + h*z**2 and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -200 + 204. Let k(i) = -i - 14. Let p be k(-11). Let q be p - 3*4\/(-12). Put q, 4, c in ascending order.\nAnswer: q, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 divided by 105306?\nAnswer: 55\/52653","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**5 - 3*u**5 + 0*u**5)*(6882 + 6514 - 3755 + 4514 - 3090).\nAnswer: 22130*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.23 - -0.16. Which is bigger: -2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 - 3*u**2 + 3*u - 5. Let n be c(2). Let r = 150 + -64. Let f = -46 + r. Calculate the greatest common divisor of n and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-16) - (4 + -1)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*b)*(b**4 - 2*b**4 + 2*b**4 + (-5 + 6 + 1)*(b**4 + 2*b**4 - 5*b**4) - 2 + 2 - 4*b**4).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (11 + -2 + -4 - 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281 + 280 + 278 + 277 - 1116 - 200*g**3.\nAnswer: -200*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r + 1. Calculate h(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (93 + -1)\/((-5)\/30*-3). Let r be (6\/(-4))\/(69\/s). Which is the nearest to -1? (a) r (b) -7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p + 11. Is j(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r + r + 8*r - 3*r. Let d(i) = -5*i**2 + 3*i. Let k(m) = 6*m**2 - 4*m. Let f(w) = 4*d(w) + 3*k(w). Give a(f(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71359124?\nAnswer: 2, 563, 31687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 225710*q**2. Let x(r) = -r**2. Give p(x(l)).\nAnswer: 225710*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 530732*u**2 - u**3 + u - 530523*u**2 - u**4 - 1 - 2*u**3 to r*u + i*u**3 + g + f*u**2 + q*u**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 446519, 894825, 1343131?\nAnswer: 1791437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 273724041*q**2 - 160295079*q wrt q.\nAnswer: 547448082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.99 - -2.56. Round o to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c*c*c\/(c**(-2\/9)\/c))))**(10\/7))**41\/(c*c**(-10)*c*c**(-1\/3)*c)**(-1\/53) assuming c is positive.\nAnswer: c**(1020848\/3339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/32)\/((21\/70)\/(6\/5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3\/2)*z*z\/z**(2\/5))**14)**(9\/10) assuming z is positive.\nAnswer: z**(693\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12123 and 1107.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w**3 - 1762476*w**2 + 881236*w = 0. What is w?\nAnswer: 0, 1\/2, 220309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4 + 64. Let u = 136 + f. Calculate the highest common factor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 less than 16225888.72642?\nAnswer: 16225889.13642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 5:38 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54033171.\nAnswer: 3, 97, 185681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042498822 to six dps.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237569374.\nAnswer: 2, 7, 16969241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 70748248*g**3 - 312832091443588*g**2 + 625664395131936*g - 312832232940096.\nAnswer: -4*(g - 1)**2*(g + 8843532)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 39*p + 144. Calculate the least common multiple of 18 and g(35).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47315.6 rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/47232 and -83\/204672?\nAnswer: 614016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 765214 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 2516034. Let v(o) = -8*o**2. Determine q(v(d)).\nAnswer: 16*d**2 - 2516034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(d**3 - d**3 - 2*d**3) + (4*d - 4*d + 2*d**2)*(-d - 4 + 4) - 2 - 2*d**3 + 2.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*u**3 + j**3 + 48*j**2*u**3 + j*u - u**3 wrt j?\nAnswer: 12*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98*b**2 + 1022 - 1020 + 24*b + 99*b**2)*(-2*b**2 + 2*b**2 - 2*b + b**2) to the form n*b**2 + f*b + g + k*b**3 + l*b**4 and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 641098\/13 - 1374522549\/27872. Let l = z - -14\/67. Let k = l - 31\/352. Which is the biggest value? (a) -3 (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79983 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1172, 1143, 1114, 1085, 1056?\n\"Answer: -29*i + 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (35221824\/327)\/(-264)*2\/(-8)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 - 35. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 12*f + 2. Let a be u(12). Let r be (-2 + -6)*(a + (-10)\/4). Suppose -3*y + 14 + 438 = -x, -r*x = -y + 169. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(-1\/4)*s)\/s))**12)**(2\/37)*((s*s**(2\/7)\/s)\/s**(2\/25))**(-42) assuming s is positive.\nAnswer: s**(-7242\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*r - 199 + 45 = 0, -a + 5*r = -25. Suppose -a*q = -45*q + 20. Suppose 3*k = 44 - 11. Solve -q = -3*j + k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/14968232 and -9\/32.\nAnswer: 59872928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 10422*y - 851237. What is j(83)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 32*p**2 - 368*p - 41. Let y be g(41). Let c(x) be the first derivative of y*x + 11 + 2\/5*x**2 - 2\/5*x**3 + 1\/10*x**4. Solve c(o) = 0 for o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14969945 and 2465.\nAnswer: 14969945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 634170 and 41400.\nAnswer: 875154600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9*6\/324*10\/(-25))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 9:08 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + 179. Calculate the greatest common divisor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 8*p + 17. Let b = -2457 - -2446. Give w(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.2 - -22.3. What is the second biggest value in v, -0.3, 0.07, -2\/11?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1123 or -2153?\nAnswer: -2153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 5154520*i**2 - 1328453821520*i.\nAnswer: -5*i*(i - 515452)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10245 + 10245.3. Put -407, u, 3 in decreasing order.\nAnswer: 3, u, -407","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -1\/15*l**5 + 0*l + 0*l**4 + 4*l**2 + 0*l**3 + 1\/105*l**7 + 0 - 7\/120*l**6. Factor b(f).\nAnswer: f**2*(f - 4)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -613 - -612. Let p be -3 + 0 - 1*-1. Is k equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106687 plus -2646225?\nAnswer: -2752912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*a = -371*a + 180 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2 - 2 - y. Let z(d) = 12*d - 8. Let x(t) = t. Let p(a) = -14*a + 5. Let i(c) = -p(c) - 6*x(c). Let r(q) = -8*i(q) + 5*z(q). What is n(r(u))?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507*s + s**2 + 171*s + 167*s - 2*s**2 + 169*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -7, -23, -39, -55, -71?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from ffffeeefkkeeeffkf?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0, -3\/89, 1\/78, -0.1, 0.2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 5*t**2 + 6. Let m be i(-5). Suppose -l = l + m. Let c be ((-4)\/l)\/((-52)\/12 + 5). Solve c*h + 12 = -3*g + 4, 0 = -h + 3*g + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15215011 (base 6) in base 7?\nAnswer: -4341355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 - 2*c**2 + 0*c - 4 - 6*c. Suppose -46 = 4*a - 5*a. What is the remainder when a is divided by d(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-2\/15))\/i)\/i)\/i*(i\/(i\/(i**(-3)*i)*i))\/i)**27*(i*i\/(i*i*i**(1\/2))*i*i\/i**(-3))**35 assuming i is positive.\nAnswer: i**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2811 + -8438\/3. Which is the third smallest value? (a) 9 (b) -4 (c) -14\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 7:26 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 262\/(-2620) - (4 + (-933)\/30).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 71\/4 of a gram?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2408, 106, 7058, 20668, 43156, 76742, 123646?\nAnswer: 186088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -7*b. Suppose -3*n + 31 + 5 = b. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 2*u**3 + 3*u**3)*(0*u + 2*u + 4*u) + (-2*u**3 - u**2 + u**2)*(-2*u + u + 3*u).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/n**(8\/3))\/n)**(1\/20)*(n*n*n\/(n\/n**(1\/11))*n)**(-3\/4) assuming n is positive.\nAnswer: n**(-317\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l + 2. Give k(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 37, 3, 0.4 in increasing order.\nAnswer: 2\/15, 0.4, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*x = -5*x + 73, 2*c = -x + 42. What is the hundreds digit of 483210\/299 + (-2)\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -25*(-1 + 19\/114 + 2\/6). Let r(w) be the first derivative of 35 + 0*w - 20\/3*w**3 + 5\/4*w**4 - g*w**2. Solve r(n) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfmewxw. What is prob of sequence fwx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 43.02. Let d = n - -0.02. What is the third biggest value in -3, -1, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1089 + 2438. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3 - -63) + -2)*(-2 + 0). Let z = 129 + m. Let y = 2 - 0. Calculate the smallest common multiple of y and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69, -79, -89?\n\"Answer: -10*o - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471409*t - 288591*t + 427881*t.\nAnswer: 610699*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - u + 53418, q = 5*u + 11230 + 6528. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78992 is divided by 78876?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - c. Let q be z(1). Let m(t) = -t**2 + 4*t - 1. Let p(d) = -2*d**2 + 5*d - 1. Let x(j) = -5*m(j) + 4*p(j). Let w be x(-1). Are w and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87317, 174621, 261925, 349229?\nAnswer: 436533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*x, 3*l - 3*x - 8 = -2*x. Suppose -l = 2*c - 0*c. Let u(h) = 4*h. Let v(g) = -g**2 - 12*g - 1. Let r(d) = 8*u(d) + 3*v(d). What is r(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 3:28 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s**2 + 2*s + 2. Let x be q(-1). Let y(t) = -t**2 - 17*t - 1. Let k be y(x). Suppose -3*r = k - 564. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166.5 + 82. Let t = -2.6 + j. Let z = t - -82. What is z rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2548 = 2*l + 2*a, 5*a = -3*l - 2513. Let b be (-8)\/28 + l\/(-21). Calculate the highest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2938, 1412, 8656, 18788, 31802, 47692, 66452?\nAnswer: 88076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 398743699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 183931133*d**3 - 308680*d**2 + 7*d + 11.\nAnswer: 1103586798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 7 + 4 + 2*t**2 - t**2. Let v(u) = -2*u. Give v(n(q)).\nAnswer: 2*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 12180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*n - q - 10, -3*n = -4*q - 24. Let t = -2690 - -2695. Sort 0, t, n.\nAnswer: 0, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18678 + 18677.975. Which is the closest to 0.3? (a) 5\/4 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + s + 1. Let r(q) = q + 10. Let v be r(9). Suppose 0 = -2*b - v + 23. Let d(y) = -5*y**2 - 6*y - 5. Determine b*d(z) + 11*f(z).\nAnswer: z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -631200 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*r**2 + 5*r**3 + 181*r**2 + 137*r**2 - 36*r**3.\nAnswer: -31*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 1e995d4?\nAnswer: 1e995d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.946 * -6377.8.\nAnswer: -18788.9988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -315 - -269. Sort -2, 4, s in ascending order.\nAnswer: s, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 688 + (7 - (-24)\/(-6)). Let k = a - 84. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((18 + -2)*1)\/((-43)\/(-5891)).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thtyyttte. What is prob of picking 2 y and 1 t?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t + 118. Calculate q(-8).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -5.5, -1?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -9. Let r = y - -6. Which is greater: 2\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3) - (-2*sqrt(3) + -5)) + 0 + (-4 + sqrt(48))**2.\nAnswer: -35*sqrt(3) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*a + 22*a - 5. Let w(t) = -t + 1. Let c(q) be the third derivative of q**4\/4 - 4*q**3\/3 - q**2. Determine a*w(v) + c(v).\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3552 and 52799.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557996*s - 1268*s**3 - 544*s**3 - 557996*s.\nAnswer: -1812*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53930618*f - 53326843 wrt f?\nAnswer: -53930618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4 - (-7)\/14. Let n be (-3 - (-3 - q)) + 10300001. What is n rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -251 - -470. Let i = 219 - a. Factor -1\/2*p + i*p**2 + 1\/6*p**3 + 1\/3.\nAnswer: (p - 1)**2*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124785041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - 11. Let v = -230 - -234. Let n(s) = -2*s**3 + s - 10. Let b(f) = v*n(f) - 3*h(f). Let r(l) = l**3 + 3*l - 6. Determine 4*b(g) - 5*r(g).\nAnswer: -g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-3740)\/(-33))\/(-20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f + 85. Calculate r(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7752669, -7752666, -7752663, -7752660, -7752657, -7752654?\n\"Answer: 3*f - 7752672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15280*u + 9173*u - 914*u + 12265*u + (1 + 4 - 4)*(4 - 4 + u) + 4*u - u - u in the form g*u + l and give g.\nAnswer: 35807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -24*h**2 - 254*h - 659. What is q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 3}. Give prob of sequence hhe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -278, -430, -584, -734, -874, -998, -1100?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 3. Let f = -6 + a. What is the smallest common multiple of (-4 - -1)*(0 - 2) and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + (sqrt(143)*1*3*5)\/(5*sqrt(275)*1))*-6.\nAnswer: -18*sqrt(13)\/5 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1562*d**2. Let t(r) = -8*r. Calculate u(t(s)).\nAnswer: 99968*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12925*f**3*k**3*z - 377*f**3*z - 20*f**2*k + 7*k**5*z**2 + 2*k*z + 22*z**2 wrt k?\nAnswer: 77550*f**3*k*z + 140*k**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/18)\/(2\/(-7)). Let j = -383\/210 + 11\/70. Let s = j - q. Which is the closest to -2? (a) s (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20.7? (a) -54\/11 (b) 1\/3 (c) -0.05 (d) 5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 6*m**2 + 16 + 4*m**2 - 3*m**2 + m**2 + (-2*m + m + 2*m)*(4*m - 4 + 4) + 0*m**2 - 2*m**2 + 3*m**2 + (0*m + 2*m - 3*m)*(2*m - 4*m + 0*m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1) + -4 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u = -76*u. Let t(i) be the second derivative of -5*i + 0*i**2 - 1\/6*i**3 + u. Let x(o) = -7*o. Give t(x(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2 + 1806\/4. Let y(h) = -h**2 + 89*h + 4867. Let o be y(-38). Calculate the greatest common factor of o and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.24 + -0.29. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 550 = -2*y, -2*p + 2*y + 124 - 358 = 0. Let n be (-3)\/1 + (-1 - p). Let v = n - -6. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98349*r**5 - 3*r**4 - 10945*r**2 - 2*r + 2 wrt r.\nAnswer: 5900940*r**2 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 16281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/41 + -20\/287. Let a be (-13)\/56 - (0 - 0). Let u = a + g. Sort -3\/4, -3\/5, u in descending order.\nAnswer: u, -3\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4399\/7 or 627?\nAnswer: 627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 21*r - 467. Let f = 61 + -23. Let c = f - r. Solve -5*b - 9 - c = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*x**2 - 14 + 27 - 13 to r + d*x + k*x**2 and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/14 and 71\/11089978.\nAnswer: 77629846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 3.21, -0.2?\nAnswer: 3.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**5\/60 + 101*t**4\/24 - 80*t**3 - 272*t**2 - 1. Factor b(d).\nAnswer: -(d - 96)*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -8\/3*l**3 + 0*l**2 + 29 + 17\/4*l**4 + 0*l. Find the third derivative of h(n) wrt n.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*w - 35 - 74, 5*w + 2*l = -179. Let r = 1741\/6 - 7649\/30. Let q = r + w. Sort 2\/5, q, 2\/9, -1\/7 in descending order.\nAnswer: 2\/5, 2\/9, q, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -866, -1, 4089.\nAnswer: -866, -1, 4089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 5) in base 3?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (77\/(-15) + 54\/405)*-3. Solve 10 = -5*o + v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (6 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 7*x**2 - 4*x + 9. Let h be 9 + 3*(4 + -5). Let r be y(h). Let s be 7\/(r\/(-10503)) - -1. What is s rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*i - 484*i = -5*d - 34, -d + 51 = -0*d + 3*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3367 + -3367.3. Which is the second smallest value? (a) -1\/8 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 5*g**2 - 5*g - 1. Let y be c(-5). What is the common denominator of (-4)\/y - (0 + -22) and 101\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -4*v - j, -30 = 18*v - 17*v + 5*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 4186*r + 25*r**2 + 4186*r - r**3)*((2 + 3 - 3)*(5*r - 3*r + 0*r) - 3*r + 3*r + r)*(-1 + 2 + 1).\nAnswer: -10*r**4 + 250*r**3 + 110*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 4*m**2 + 3. Let p be j(4). Suppose l + 1 = 4*i, 4 = i + p. List the prime factors of -2 + (l - -28) - 0.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 350 and 0.5088?\nAnswer: 178.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 564, 2307, 5214, 9285?\n\"Answer: 582*s**2 - 3*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5 - 23*i**2 + 23*i**2 - 5*i**3 + 5*i + 4*i**3. Let y(g) = -g + 1. Give -q(v) - 5*y(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(5 + 4 - 7)*(-d + 0*d + 4*d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227493 is divided by 100.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 3*o**2 + o**2)*(-3*o**2 - 2*o**2 + 3*o**2) + (-4 + 4 + o)*(0*o**3 + 3*o**3 + 12*o**3).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(65\/(-84))\/65.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**4 + 34197*v**3 - 68403*v**2 + 34203*v = 0.\nAnswer: -11401, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 19*h - 27. Let v be f(-15). Which is smaller: -83 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-564)\/40)\/(-1) - 14. Let h(w) be the second derivative of -3\/2*w**2 + 4*w + 0 + x*w**5 - 1\/2*w**3 + 1\/6*w**4. Calculate h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let v(d) = 2*d. Let f(u) = -k(u) + v(u). Let o be f(2). Sort -2, 5, o.\nAnswer: -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6\/53, 1.73, 7?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169217 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: Suppose 0 = 30*l - 3148 + 91528. Let z = l + 6383. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/159 and -38\/165.\nAnswer: 8745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 650 (c) 1 (d) -5 (e) 3 (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 821 = -5*n, 3*a - 771 = -3*n - 264. Suppose 4*d + 2*g = -128, -5*g - n + 37 = 4*d. Is 15 a factor of (3 + d)*-1 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -1. Let w be 3\/15 + 230\/(-25) + 14. What is the nearest to -0.1 in y, w, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6956 + 0.7956. What is the fifth biggest value in r, 0.2, -0.9, -1\/8, 2\/5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465598106 divided by -244266351?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1061?\nAnswer: 1\/1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523 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: Let p = 0.7713458 + -1.9552287. Let a = -1.1845 - p. What is a rounded to 5 dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 5. Let q be a(0). Let j(z) = z**2 - z - 5. Let i be j(6). What is the highest common divisor of q and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*u + 9 = 0, u - 2 = -5*w + 1. Calculate the remainder when 3 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87157\/25236 - -13\/701. Let z be (-3)\/(-4 - 55\/(-10)). Find the common denominator of g and (4 + (-137)\/44)\/((-3)\/z).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -10 - 452*l**2 + 249*l**2 + 214*l**2 + 5 - 2*l**3. Determine h(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 730636, 6.1 in decreasing order.\nAnswer: 730636, 6.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:47 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 5, 1.\nAnswer: 1, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, 5, 2, -6, -4 in descending order.\nAnswer: 10, 5, 2, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4469123?\nAnswer: 19, 41, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522040173 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.29512m in millimeters?\nAnswer: 61295.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 + 2*l - 180 + 2*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7698846 divided by -519.\nAnswer: 14834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6.66 * 0.0366\nAnswer: -0.243756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -0.27\nAnswer: -2.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4235632.00083 + 4235749. Let f = a - 117. What is f rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/15, -1\/32, -1\/11, 8 in increasing order.\nAnswer: -1\/11, -1\/32, 4\/15, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258620643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 1\/(-3))\/((-240)\/(-72)). Let q = 437 + -441. What is the second smallest value in q, 2, -2\/11, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 10:53 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-153)\/119*(-4)\/18. Suppose 4\/7*h**3 + b*h**4 + 0 - 6\/7*h**2 + 0*h = 0. What is h?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -150*b*s**2 - 851*b + 2*s**3 wrt s?\nAnswer: -300*b*s + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 13. Let q be j(3). Find the second derivative of -v**5 - 17*v**5 - 4*v**4 + 2*v**2 + 4*v**q + 660*v - 813*v wrt v.\nAnswer: -360*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, -30, -30390 in descending order.\nAnswer: -8\/7, -30, -30390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*p**5 + 42*p**4 + 66*p**3 + 38*p**2 + 6*p = 0. Calculate p.\nAnswer: -3, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125960 and 3216?\nAnswer: 755760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 17 = -4*l - 0*l, k - 2*l - 9 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6922 + -6927. What is the smallest value in -0.02, -3, -1, m, -0.043?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -12714*m**2 - 22*m - 22. Let u(z) = 565773*z**2 + 978*z + 978. Give -489*f(c) - 11*u(c).\nAnswer: -6357*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 13*a**6\/15 + a**3\/6 - 52*a**2 - a - 1. Differentiate h(y) with respect to y.\nAnswer: 104*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-370)\/(-296)*20\/(-65)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 16, -80, -13157, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 123 - 308 + 94 + 94*k**3 - 2*k**2 + 91.\nAnswer: 94*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*(h*h*h**(1\/4)\/h)\/h)**(-1\/73))**(6\/19))**0)**(-44) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -46004213400 to the nearest one million.\nAnswer: -46004000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/168)\/(2*-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 17\/3. Let y = -4 - -5. Let v = -2.7 + 3. What is the nearest to y in x, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 93039\/6*39*2\/(-522). Let u = h + 4635\/2. Calculate the common denominator of u and -64\/33.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + z)*(-3*z + 0*z + 2*z) - 7 - 5*z**2 + 7 + (3*z + 6*z - 2*z)*(-413 + 413 - 9*z).\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -5 - -6) + 71. Let u = 64 - f. Let g(a) = 14*a**2 + 18. Let v(x) = -41*x**2 - 53. Let o(k) = u*g(k) - 4*v(k). Differentiate o(b) wrt b.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4577 times -7.59?\nAnswer: -34739.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 124, 247, 372, 499, 628, 759?\n\"Answer: x**2 + 120*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/30*-5*610\/183.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -267.96 - -268. What is the closest to 1\/2 in -3, -8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 272 and 620.\nAnswer: 42160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 15. What are the prime factors of 6\/y*(-100)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, f: 4, w: 7}. Give prob of sequence fff.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9396*s + 20 = 9392*s - 3*p, 22*s = -3*p - 110 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3367746737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 18667*s**2 + s + 18667.\nAnswer: -(s - 1)*(s + 1)*(s + 18667)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -439, -437, -433, -427?\n\"Answer: q**2 - q - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -97*b**4 - 5*b**3 - 5*b**2 + 5*b - 131. Let p(h) = -48*h**4 - 2*h**3 - 2*h**2 + 2*h - 66. Let v(l) = 5*p(l) - 2*w(l). Differentiate v(k) wrt k.\nAnswer: -184*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -24*n + 19*n. What is the tens digit of ((-198)\/4 - n\/12)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79575 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*z - 27, 5 - 25 = 5*z. What is the second derivative of -4*y**2 + 0*y + s*y - 9*y wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 551 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 657093062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -181? (a) -2 (b) 2\/13 (c) -9\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2263546, 2263540, 2263534?\nAnswer: 2263528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-1)\/(-2))\/(4023\/(-3576)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 13. Suppose 4*x = q*x + 22. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22 - x**3 - x + 35*x**2 - 67*x**2 + 31*x**2 wrt x.\nAnswer: -6*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.2917, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.760527us to nanoseconds.\nAnswer: 6760.527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by -16?\nAnswer: 79\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 25*i - 48. Let g be l(-23). Let n be 7\/1 - (g - -6). Solve 0 = -3*a + 3*o - 12, -n*a = -4*o - 0*o + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 7*k**2 + 3*k + 3. Let b be o(5). Let n = b - -51. Suppose -p - 3192 = -25*p. Calculate the greatest common factor of n and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:47 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16836 - -16865. Let i(p) be the first derivative of -2*p**2 + 0*p + r - 37\/3*p**3. What is the second derivative of i(j) wrt j?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 450323?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**4 - 1435*z**3 - 149175*z**2 - 6538625*z - 98260000 = 0 for z.\nAnswer: -85, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 14. What is the remainder when 114 is divided by o\/((-6)\/(-69))*2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 292, 276, 258, 238, 216, 192?\n\"Answer: -k**2 - 13*k + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - -222?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1186*q - 1511 wrt q.\nAnswer: -1186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 1, a: 1, n: 2, x: 1, p: 1}. Give prob of sequence pxa.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-374)\/85 + -1)*23\/((-1104)\/16).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-8)*o))\/o*o*o\/(o*(o\/o**12*o*o)\/o*o)*o*o)\/(o*o**(-12)*o*o*o\/(o*o**(-7))) assuming o is positive.\nAnswer: o**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*w - 30. Let a be 104184\/(-44) - w\/(-33). Is (-3 - a\/4) + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -25, -2\/11, 1, -327.79, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -222707 (base 8) to base 14\nAnswer: -1d59d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2663579 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 48. Suppose -b*o - 1310 = -6*o. Round o to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29311 greater than -0.025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = -52. Let b(s) = -25*s**2 - 7*s + 27*s**2 + 5*s + 1. Let w be b(3). What is the highest common divisor of j and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 90*n + 4. Let v be z(5). Suppose 0 = -3*y - 3*r + 9, 6*y + 3*r - 15 = y. Suppose -d = -y*d + v. What are the prime factors of d?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p + 13. Let j(n) be the first derivative of n**3\/3 + n**2 + 7044. Calculate f(j(m)).\nAnswer: -4*m**2 - 8*m + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 13283 = 5*j, 6*j - 3*j + 9966 = 3*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**7\/70 + 271*d**6\/30 - 46*d**5\/15 - d**4\/8 + d**3\/6 - d**2 - 4*d - 59. Find the third derivative of i(u) wrt u.\nAnswer: 72*u + 6504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**3\/3 + 11*d**2\/2 + 7*d - 1. Let t be o(-10). Let y(x) = -x + 17. Let b be y(17). Sort b, t, -5 in decreasing order.\nAnswer: b, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64\/531 + -6\/59. Let u = 52\/153 + r. Which is the second smallest value? (a) u (b) 0.3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 139582852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 3 + 3 + (0*l**2 + l**2 + l**2)*(-1 + 2 + 1) + 3*l**2 - 4*l**2 + 2*l**2)*(-3 - 3 + 4 + (0 + 4 - 3)*(-1 - 1 - 1)).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325 - 688 = 35*q + 1142 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -146*n. Let i(t) be the third derivative of -t**4\/6 + 769*t**2. Calculate m(i(b)).\nAnswer: 584*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17\/20 + -17\/4. Suppose -5*w + 2 - 12 = 0. Calculate the common denominator of w\/5*(-148)\/(-8) and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01357606 rounded to 4 decimal places?\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173*o + 315*o + 2*o**2 - 59*o to the form f*o**2 + n*o + d and give n.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-45)*91575\/888.\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 + 4*j + 4. Let l be y(-3). Let n = -13 - -3. Let m = l + n. Solve m = 2*h - 4*b + 8, h - 2*b = -b - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(-1 - 7 + 15)*(3*q**2 + 4*q**2 - 3*q**2) in the form a*q + g + b*q**2 and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1013 + -814. Suppose 3*g = -4*t - 71, -t + 4*g + 4 = -2. Let o = a - t. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-528)\/(-20))\/11)\/(42\/20). Solve 2\/7*k**2 - 6\/7*k - a = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, 4, 0.4094268?\nAnswer: 0.4094268","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-78))\/(1\/(-102)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6330 divided by 7252?\nAnswer: -3165\/3626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * 9.068\nAnswer: 1.45088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -c?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1.3, -7, 2 in descending order.\nAnswer: 2, -1.3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 8*l**2 - 7*l - 3. Let y be (3\/(-2))\/(3\/12). Let j = -2 + y. Is o(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 56012.94 milliseconds?\nAnswer: 56012940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - -45. What is the remainder when b is divided by 36\/5*(60\/(-16))\/(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 5963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 1565161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1620)\/8)\/(-9))\/((-322)\/28 + 11)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbrrrrhrrrbjrjrhrbr. Give prob of sequence hjh.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Let v = 44 + s. Calculate the highest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k + 2*k**4 - 1215*k**4 - 594*k**4 - 5338*k**4 + (2*k**3 + 0*k**3 - 3*k**3)*(-5 + 5 + 2*k) + k**2 - k**4 - k**2.\nAnswer: -7148*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-6)\/42*(1 + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, y: 5, q: 3, d: 5, m: 4}. What is prob of picking 3 y and 1 f?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1*((-1963)\/52)\/(1\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22082 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/5 + 33*p**2\/5 - 96*p + 240.\nAnswer: 3*(p - 5)*(p - 4)*(p + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g + 112. What is p(38)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147752 is divided by 1112.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584*j + 3 - 3 + 178*j - 329*j.\nAnswer: -735*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - (-10 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34823395*r**2 + 14*r + 738237.\nAnswer: -69646790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94158063\/110 - -4371209\/5. Let q = y - 18256. Find the common denominator of -69\/22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1, 17, 8 in decreasing order.\nAnswer: 17, 8, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18008442443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 84 = 9*c, 0*z + 4*z + 15 = -3*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 + -62. Let k = 152 + -149. Suppose 0 = k*i - y - j, -19 = -4*i - 4*y - 3. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 4:04 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, z: 3}. What is prob of sequence dz?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -477182*x + 477179*x + 4*q, -4*x - 76 = -7*q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16 = -4*m + 14, 3*m = 2*t + 11. Suppose -3*a + u = t*a + 142, 4*u = 2*a + 46. Let l = 15 + a. Is l equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -851 + 858. Let j be k\/((-28)\/(-24)) - 1. Let y be (-28)\/(-10) - 3\/(-15). Solve -o + y*w - j - 5 = 0, 5*w - 10 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/(-16) + (-2)\/8. Let l(v) = 10*v + 6*v**2 + v**2 + 2*v**2 - x*v**2. Let b(i) = -i**2 - 2*i. Let w = -17 + 28. Calculate w*b(z) + 2*l(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2894164427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - (-81865179)\/(-9)*-1. Suppose -2*w + f - 1276139 = 0. What is w rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 4:52 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 764 + -760. Sort -1, -20, l in increasing order.\nAnswer: -20, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4430403 (base 5) to base 12\nAnswer: 3866a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -526909.578 rounded to the nearest 10000?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 992896 is divided by 254.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (255\/2210)\/(26\/(-8) - (12 - 13))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/6)\/((-8)\/(-12)). Suppose -21*l = -22*l + 420. Let p be f\/(-13) + (l\/26 - 4). Calculate the greatest common factor of 60 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/78 + (-18)\/52.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -107955\nAnswer: -2\/107955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6193 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: Solve 2*f + 3*c - 14 = 0, -7*f = -12*f - 4*c + 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22114196 divided by 2?\nAnswer: 11057098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9832491?\nAnswer: 3, 37, 29527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/2290397 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/60360190 and -10\/1680129.\nAnswer: 1629725130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 5*u - 7. Let p be w(-9). Suppose 7*f - p = -r + 4*f, -4*r = 4*f - 740. What are the prime factors of r?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*c + 177 = 0, 3*y - 4*c - 115 = -5*c. Suppose 0 = -0*p - p + y. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50803009?\nAnswer: 50803009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**6\/120 + 7*h**5\/60 + h**4\/8 + 13*h**3\/6 + h**2 - 2*h. Calculate the remainder when m(-5) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(208))**2.\nAnswer: 8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2728)\/(-3135) + (-10 - 444\/(-45)). Factor 2\/19 + n*j**2 + 16\/19*j.\nAnswer: 2*(j + 1)*(7*j + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**6\/3 + 8*u**3\/3 + 5. Find the third derivative of w(o) wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.7 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2651 is divided by 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85884 is divided by 109.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-220)\/(-45)*5 - (-4)\/(-9). Suppose 4*t + 1 = 49. Calculate the greatest common factor of c and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*v + v. Suppose -9 = -4*u - v. Let k = 0.06 - 0.06. Is k < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8821 minus 0.3?\nAnswer: 2.5821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 131.\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/30 - b**4\/6 + 2*b**3\/3 - 151*b**2 - 1. Let j = -23 + 24. Let f(u) = -u**2 + u - 1. Calculate j*i(z) + 4*f(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -40215.7175 to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 6*z**2 + 4*z + 1. Let k be j(-5). Let t = k + -6. Let h = -535\/3 - -178. Which is bigger: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -614300 times 11.2?\nAnswer: -6880160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185374608*n + 185374608*n + 26*n**3.\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**3 + 10*b**2 + 3*b - 3. Let y(o) = -o**3 + o**2 - 1. Let d(f) = x(f) - 5*y(f). What are the prime factors of d(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjrzjsjzrjr. What is prob of sequence zrz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65574247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**6\/15 - 2*u**5\/5 + u**4 - 4*u**3\/3 + u**2 + 81*u. Factor n(s).\nAnswer: 2*(s - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3167 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1857 in 0.5, -4, -13, 0.3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -1. Let q = -0.88 + 0.88. What is the third biggest value in 0.5, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23561309 is divided by 906204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d - 0*r - 2*r, 5*r + 31 = -d. Let i be (16 + d)*-3*22\/(-15). What is the greatest common divisor of 66 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-954)*-11)\/((-1683)\/918)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 - 4. Let p(t) = -t**2 + 8*t. Let x be p(8). Let h be (-4)\/(-104)*(x - 4). Which is the smallest value? (a) h (b) 4\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*p - 0. Let h be (56\/(-6))\/(2\/p). Let u be ((-2)\/h)\/(2\/(-4)). Which is the closest to -1\/2? (a) u (b) -5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 31*q - 21. Let v be w(-18). Suppose -3*l - 263 = -5*u + 733, -l - 318 = 3*u. Let j = l - v. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52114388537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 7:17 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -31.1, 2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/60 - p**4\/24 + 33*p**3\/2 - 6*p**2 + 2*p. Is v(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 37*y**2 + 4. Let t(o) = 1119*o**2 + 1124*o**2 - 2242*o**2. Give t(k(q)).\nAnswer: 1369*q**4 + 296*q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 1. Suppose z*i + 12 = 5*i. Sort 4, 5, i.\nAnswer: i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 66, 2, -3, -992 in increasing order.\nAnswer: -992, -3, 0, 2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 196970625 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -9*b + 8*b. Suppose -20*m = -b*m + 714. What is the highest common divisor of 34 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + z**2 - z + 1. Let v = 25 + -42. Let j(q) = -q - 16. Let o be j(v). Let k(t) = -6*t**3 - 4*t**2 + 4*t - 5. What is o*k(i) + 4*s(i)?\nAnswer: -2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-203840)\/(-26656) + (-12)\/(-34) - (-51)\/(-1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84900 and 436386.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 58*m**2 + 117*m + 467. Calculate c(60).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 14. Determine f(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.3 and 1.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 78*m**2 + 692*m - 667. Determine o(68).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 101\/(2 - (-6)\/(-4)). Suppose 0 = 5*b - 20, -4*d - 150 - 290 = 3*b. Let g = o + d. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4532 - 4540. Sort -0.2, d, -1, -1\/19 in ascending order.\nAnswer: d, -1, -0.2, -1\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.66 - 0.16. Put g, -0.5, 1 in descending order.\nAnswer: 1, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 - 9 - 8 + 7*u wrt u?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g = -4*t + 20, -15 = -3*t - 11 + 11 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123453049.\nAnswer: 2053, 60133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4083 - 2866. Let j = u + -19449\/16. Find the common denominator of j and -57\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7093\/436 + 2\/109. Find the common denominator of s and -43\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1954 - 2076?\nAnswer: -4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**5 + 10*l**4 - 181*l**2 + 2*l - 5 wrt l.\nAnswer: -240*l**2 + 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 19 = 2*g, -1056*g + 47 = -1036*g + 3*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 179971 (b) 1\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 23744?\nAnswer: 23736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 + -107. Let q(t) = t**3 - 11*t**2 - 13*t + 15. Determine q(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 2*o + 3. Let l(r) = 16*r**2 + 11*r - 14. Give -2*l(s) - 11*m(s).\nAnswer: s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 27*p - 63*p + 29*p to k*p**2 + z + f*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 3 - 1 - 2*n. Let y(a) = -161*a - 19. Let s(g) = -21*g - 2. Let f(o) = 40*s(o) - 5*y(o). Suppose -46 = 3*q - 1. Give q*i(k) + 2*f(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -143, -258, -347, -398, -399, -338, -203, 18?\n\"Answer: 2*a**3 + a**2 - 132*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = s - 2, 5*s = -2*d - 32 + 108. Let x be -5 + (-4)\/(-8)*s. Suppose x*f + 10 = 34. What is the highest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120*b**2*v**3 + 2*b**2*v**2*y + 2*b**2 - 2*v**3*y + 3*v**2*y - v**2 with respect to b.\nAnswer: -240*b*v**3 + 4*b*v**2*y + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 4.7. Let w = 2 - 2.1. Let v = 44 + -44.1. What is the closest to v in -3, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 0 + 8 = 2*t, 6 = -4*n + 2*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/45, -1\/4, -0.2, 6\/89 in ascending order.\nAnswer: -1\/4, -0.2, 2\/45, 6\/89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 4*t - 5*n + 482, -3*n = -5*t + 758. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-2) - (-253)\/(-161))\/(-1). Suppose 0 + m*d**2 + 1\/7*d**3 + 4\/7*d = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.082\nAnswer: -0.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003798 rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390 and 49611315.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 a factor of 7819285106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqpqccwwhqwccq. Give prob of sequence wq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -50. Let v = l + -11. Let c(r) = r**2 - 3*r + 19. Calculate the remainder when c(v) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, 1, -1581, -3 in decreasing order.\nAnswer: 1, -2, -3, -10, -1581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49\/3 or 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2\/11, -4, -2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3+-7442328009\nAnswer: -7442328006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18280, 36558, 54836?\n\"Answer: 18278*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 3. Let r be i(11). Let x = 18 - r. Suppose 2*l - k + 5*k - x = 0, 20 = 4*l - 5*k. Which is smaller: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 49*q**2 - 62*q**2 + q + 113*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + n + 173 = -151, 4*n = -5*l + 384. Suppose -3*y = 8*s - 13*s + 140, 4*y = -4*s + l. Calculate the remainder when 71 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64 + 515 + 190)*(-2*r - 1 + 1) as j*r + z and give j.\nAnswer: -1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 + 8*w + 28. Let q be f(-4). Let r be (8\/q)\/(1\/3). Solve 2\/3*k**2 + r - 8\/3*k = 0 for k.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11744, -25390, -40944, -58412, -77800, -99114?\nAnswer: -122360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1656)\/(-900)*(206\/528 + (-2)\/11) and 28\/135.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 6*j + 3. Let f be 1\/(-3) + 6\/(-9). Let q = 5 - f. What is the units digit of c(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/(51\/170).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 7*b**4\/12 - b**2\/2 + 10*b + 128. Suppose 0 = -2*p + 5*p + 3. Give t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(1\/14)\/d)\/d))\/d)\/(d*d**19)*(d\/(d**(-14)*d))\/d*d\/d**(-1\/7) assuming d is positive.\nAnswer: d**(-55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d - 20. Let k be z(8). Suppose -b - b - k = 0. Let a be (-3 + (-15)\/(-9))\/(b\/54). Solve 5*u - a = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j = -24*j - 6*m - 109, 2*m + 34 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + 4 + sqrt(91)\/sqrt(7) + -4 + 3.\nAnswer: 3 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/11 - 30*n**3\/11 + 76*n**2\/11 - 48*n\/11 = 0. What is n?\nAnswer: 0, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - -3) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*25\/(-10) + 8\/4. Suppose l + 4*a = -7, a - 7 = r*l - 9*l. Solve l*p = -4*w - 3 + 48, 4*p = 4*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.026, 6, 0.01, -1?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:19 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 136, 228, 370, 562, 804, 1096, 1438?\n\"Answer: 25*q**2 + 17*q + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 5. Let k = -6 + 10. Let l(c) = -3*c + 15. Let z be l(k). Suppose -10*j = -z*j + 63. What is t(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3042314967136 - -88.\nAnswer: 3042314967224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -469.53 or 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/10, 0.861, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:57 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -221*g - 9. Let b(z) = 80*z + 3. What is 17*b(p) + 6*v(p)?\nAnswer: 34*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -4\/7, 1, 4\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10985972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21413804 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 38756?\nAnswer: -38755.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1128024 + 2388024. What is p rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18840 or 131878\/7?\nAnswer: 18840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6237211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 60469.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -231*z + 3115 + z**3 + 604*z + 53 + 40*z + 206*z**2 + 1187*z = 0.\nAnswer: -198, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13\/7, 1\/6, -0.3, -3, 0.056, -1\/8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38310 + 20427 = -51*t - 20025 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 7*i + i)*(-15*i + 19*i + 37*i).\nAnswer: 246*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -120. Let l = j + -51. Let k = -90 + 541\/6. What is the fourth smallest value in -7, 4, k, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1536 greater than -1536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*n**5*o + 257*n**5 - 11126*n**2*o + 2*n**2 wrt n?\nAnswer: 720*n**2*o + 15420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5183 - 5114. Solve 8*p - x + 85 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 11 (c) -0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65176\/11 - -5925. Calculate the common denominator of (-6)\/27*(0 + 96) and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1796446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {y: 11, h: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6505065+4\nAnswer: -6505061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o + 2*o + 8*o + 8*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 171\/18 - (-299)\/(-198))*6\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, -4 in increasing order.\nAnswer: -32, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 12\/7, -4, -0.5, -4\/393?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -90 (b) -4\/13 (c) 0.2 (d) 0 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.3 + 72.9492168.\nAnswer: 64.6492168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 15 + 20 = -47, 10*m + 5*l = 13*m + l + 46 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-9)*((-27)\/6)\/1. Suppose 3*p - 2*m - 3 = m, 4*p - c = 5*m. Let j be (-1*(-9 - p))\/2. Solve 0 = -4*f - 5*i + 17, 4*i = j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507 is divided by 134.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 637, 566, 495, 424, 353?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfu when three letters picked without replacement from {f: 7, j: 1, u: 2}?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*t - 244234, 3*t = -18*w + 19*w - 122120. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.34 - -5.34. Let q = 0 + -3. Let r = q + j. What is the closest to -1 in -0.3, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 + d - 3. Let h(c) = -c**2 + 1. Let r(v) = 3*h(v) + w(v). Let p = 4 + 3. Let f be p\/(-35) - (-4)\/(-5). Determine r(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k - 11. Let w be l(-9). Suppose -5*z - 11*n + 65 = -6*n, z + 5*n - w = 0. Suppose -12*d = -7*d - z. Solve 5 = -b + d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -72. Let c be ((-2)\/(-4))\/(72\/v). Let z = 594 - 593.9. Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 - 46\/(-14). Suppose -a*b - 4*k + 128 = b, -k + 148 = 5*b. Does 29 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 3*r**2 - r**2. Let k(b) be the second derivative of -13\/3*b**3 + 0 + 0*b**2 - 144*b. Calculate t(k(g)).\nAnswer: -1352*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 20, 58, 134, 260, 448, 710, 1058?\n\"Answer: 2*w**3 + w**2 - 5*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 656090112 by 867.\nAnswer: 756736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13599867?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a + 2. Let d(t) = 13*t + 7. Let v = -7 - 0. Suppose -3*p = -0*p - 6. Suppose 4*q - p*r = 14, r + 6 = -r. What is q*d(s) + v*g(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2320 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3750146 or 3750145?\nAnswer: 3750145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -797, -865, -987, -1169, -1417, -1737?\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 - 3*f**2 + 2*f. Suppose -5*d - 6 = b, 3*b + 2*d + 11 = 6. Let r(m) = -m**2 - m. Give b*z(k) + r(k).\nAnswer: -3*k**3 + 2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4 + (-5 + 4 + 3)*(-2 - 2 + 2))*(2*k + 4*k - 7*k)*(-3 + 1 + 1).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 35?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - ((11 - 18) + -10) - 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1065776 litres?\nAnswer: 106.5776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -14*18\/(-1890) - (-31676)\/30 is divided by 187?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-241 + 225 + 0*u - 2*u)*(u - 1 + 1)*(1 - 1 - 2) + (-3*u + 4*u - 2*u)*(1 - 1 - 2*u) - u**2 - 2*u**2 + 2*u**2 to h + q*u + o*u**2 and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15263466 (base 7) in base 2?\nAnswer: -101100100101101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 45\/8 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*z**5 + 613*z**3 - 246*z**3 - 263*z**3 + 211*z + 61*z**5 wrt z?\nAnswer: -20*z**3 + 624*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 729 + -6559\/9. Which is the smallest value? (a) f (b) -0.1 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**5\/24 - u**4\/8 + 10*u**3\/3 + 15. Let n(a) be the third derivative of y(a). Give n(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1667127 and 22869.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b - 8. What is x(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3\/2, 1\/491, -22\/9, 1?\nAnswer: 1\/491","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * -1057659\nAnswer: -1269190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2535 is divided by 2528.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 24. Suppose u = 13*w - 18*w + 45. Let c(m) = m**2 - 4*m + 4. Calculate the smallest common multiple of c(4) and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 23*h + 0*h**2 + 0*h**2 + h**2 - 2*h**2 - 48. Let b be g(21). Let r be ((-15)\/10)\/(b\/16). What is the second biggest value in r, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079*c + 20 = -1074*c, -x - 66 = -14*c for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(10\/11)*b**(-21)*b*(b**(-17)\/b)\/(b**35*b) assuming b is positive.\nAnswer: b**(-804\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -31*k**3\/2 - k**2\/2 + 12*k + 4. Let m(c) = -12*c. Determine m(t(f)).\nAnswer: 1116*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628*w = -1283*w + 635*w + 80 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-16 - -13) + 2) - 13 - -29?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000111001010 (base 2) in base 14?\nAnswer: -78b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82846 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 44 = -12. Let m = -10 + h. Let p(w) = -6*w**3 - w**2 - 2*w - 1. Let y be p(-1). What is the highest common factor of m and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77987\/10 + -7808. Calculate the common denominator of 49\/9 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -82. What is the third biggest value in v, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11517.\nAnswer: 3, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2182711 + 220.7544711. Let m = o - 253.54. Let s = m - -33. What is s rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/15)\/u**33)**41)**(-17\/3))**(-3\/10) assuming u is positive.\nAnswer: u**(-343621\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 14*r = 166 - 33, 3*o + 322688*r + 36 = 322689*r for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**2 + 5176380*h - 200237836 wrt h.\nAnswer: 8*h + 5176380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 2:43 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 5. Let z = d + 2.5. Let i = 1941 - 1945. What is the nearest to 0.1 in 0.2, z, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*991.774\nAnswer: 14876.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -56 * 459\nAnswer: -25704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6156*k = -6157*k + 2883. What are the prime factors of k?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 - 420*z**2 - 114 + 840*z**2 - 417*z**2 + 226.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**2 + 2*f - 2. What is x(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*k - 11. Let n(i) = 4*i**3 + i + 6. Let d(j) = -j**3 + j**2 + j - 1. Let y(p) = 3*d(p) + n(p). Determine y(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 - 19*x**2\/4 + 16*x - 15.\nAnswer: (x - 15)*(x - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*((-24)\/135 - (-18)\/45). Let a(x) be the first derivative of 4*x - 4\/9*x**3 - 13 + b*x**2. Find g such that a(g) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 423, 582, 743, 906, 1071, 1238?\nAnswer: 1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from fknkmnmxfkmfkkkkfm?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384197 is divided by 1940?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m*m*m\/(m\/(m\/(m**(-2\/7)*m))))\/m)\/m)**(34\/5))**(26\/7)\/(m*m**(2\/21)*m**(2\/9)*(m\/(m*(m*m**(-5)*m)\/m)*m)\/(m\/(m*m**(-9)\/m))) assuming m is positive.\nAnswer: m**(79724\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -j - 29, -22 - 3 = 5*j. Let q = -9 + 4. Let t(n) = -n**3 - 6*n**2 - 6*n - 4. Let f be t(q). Put y, f, 0 in descending order.\nAnswer: f, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/33))\/c**20 assuming c is positive.\nAnswer: c**(-629\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p + 4. Is (-14)\/p*(-11 - -13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -579626, -1159292, -1738960, -2318630, -2898302, -3477976, -4057652?\nAnswer: -4637330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1216164654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 583, 1172, 1765, 2362, 2963?\nAnswer: 3568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 60. Let t = d + 38.7. Which is the second smallest value? (a) -21 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -27*s**2 - 22*s + 6. Determine r(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/(r**1\/r))\/r)\/r)\/r)**(-37)\/(r*r\/r**(2\/3)*r*r**(4\/3)))\/(r*r**(2\/15)\/r*r*r**(-2\/3)\/r)**1 assuming r is positive.\nAnswer: r**(1063\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3781434 is divided by 349.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.33284 rounded to 0 decimal places?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - h - 1. Let u be y(0). Let d be (28\/8)\/u*-26. Suppose -d = -4*v + 77. Which is smaller: 43 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o. Let p(y) = 11*y**2. Give p(v(k)).\nAnswer: 99*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 149*g**2 + 3*g + 5. Let l be u(-2). Suppose -76*n + 71*n = -l. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-8)\/(0 - -2). Differentiate 2 + 2 - b + 2*p with respect to p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-11 - (-30)\/(-10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 784.\nAnswer: 3\/784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.34454 - -4.44454018. Let v = -11 + 10.9. Let t = v + c. What is t rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**2 + 1. Suppose -110*n - 3*n = 113. Determine k(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -16. Let z = u + 90. Suppose -2*r = -0*n + 3*n + 11, -5*r + 4*n + z = 0. Solve r*b + 5 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 7) + -7 - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7648*208.97.\nAnswer: 1598202.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 6:46 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 70 + (-24 - 2).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 117.\nAnswer: -4\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1318 + -0.075\nAnswer: 1317.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(80\/(-8))*((160\/28)\/10)\/110\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 3*y**3 + 3*y**3)*(3*y - 6*y + y) + (-2*y**2 - 2*y**3 + 2*y**2)*(-y + 2 - 2) + (-2 - 2 - 1)*(29*y**4 - 11*y**4 - 35*y**4).\nAnswer: 83*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(432)\/(sqrt(27)\/sqrt(3)))**2 + (0 + sqrt(3)*-1 - (sqrt(6)*-1)\/sqrt(2))**2 + -3.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -93 + -1?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) -13 (c) -1 (d) -43 (e) -136 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620 = 23*o + 574 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 26, 16, -6, -46, -110, -204, -334?\n\"Answer: -m**3 + 3*m**2 - 6*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w - 40*w + 25 = 5*r, r + 14 = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + 1010121?\nAnswer: 1011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*b + 8 = -6*b, 2*b + 4 = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:36 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-39)*g\/(g\/(g**(1\/15)\/g)*g))**(-2\/63) assuming g is positive.\nAnswer: g**(1228\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Suppose -4*z + 0*z - 4*v = -8, u*z - 6 = 4*v. Factor 2*y**z + 3*y**2 - 3*y**2 - 2*y**3 - 2*y**4 + 2*y.\nAnswer: -2*y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from bbqqvmqvdmmdm?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1476 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -14*k + 1. Let g be w(-6). Suppose 5*d = 4*z + 105 + 77, -2*d - 2*z + 62 = 0. What is the greatest common divisor of d and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-48)\/20))\/((-30)\/(-36))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 3*y**2 + y**2)*(-220*y**2 - 363*y**2 + 174*y**2).\nAnswer: -409*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 36 = -2*h + 23*h - 12*h, -n - 2 - 2 = -5*h for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(117)*5)\/((sqrt(54)\/sqrt(2))\/sqrt(3) + sqrt(36)*2).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5269*z**2 - 5285*z**2 + z**3 + 0*z**3.\nAnswer: z**3 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000082315 to seven dps.\nAnswer: 0.0000823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 11 = -3. Let z(w) = -5*w**3 + 8*w + 4*w**3 - 12*w + 0*w**3 + 7*w + 3*w**2. Determine z(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -44*q - 267. Determine h(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 151105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12819*c**3*d - 1450*c**3 - c**2*d + 2*c**2 + 3 wrt d.\nAnswer: 12819*c**3 - c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. Suppose 0 = 3*t - c - 6. Let j = -82 + 94. Solve 5*n - j = t*n, -8 = 4*z + n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-2)*4050\/375. Put -5, y, 2\/129 in descending order.\nAnswer: y, 2\/129, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 18641 + -26497. Let f be o\/(-36) - -2 - 8\/36. What is the highest common divisor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -6*d + d. Let o = -3 - d. Let w = o - 6. Which is bigger: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1507*a. Let t(f) = 982*f**2. Calculate q(t(y)).\nAnswer: 1479874*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w. Suppose -4*c = 10*c - 2772. Let p = 454 - c. Let j(s) = p*s - 514*s + 255*s. What is j(y(o))?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3982 = -2*o + 2418. Suppose -v - v = o. Let d be 6\/12*v\/(-2). Round d to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1475145 divided by -49.\nAnswer: 30105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 25*z**2 - 1. Let b be (-1 - -2)\/(0 + -1). What is the remainder when 46 is divided by m(b)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.08903 + -29.09112. Let a = -28 + 7. Let t = u - a. Round t to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191 (base 12) to base 13.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/38525 and -173\/10050?\nAnswer: 231150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - 3.9. Let z = 12.06 - 0.06. Let l = z + -12.1. What is the smallest value in l, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1 - 3250*r**2 - 3 + 3249*r**2. Suppose -j = j + 4. Give l(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.0188, -4, 0.2 in increasing order.\nAnswer: -8, -4, -0.0188, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 80*b + 77. Let d(q) = 2*q. Let t(a) = -405*a - 384. Let f(k) = 2*d(k) + t(k). Let n(z) = 2*f(z) + 11*v(z). Differentiate n(m) with respect to m.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*t - t + 11, 22 = 2*p - 4*t. Calculate the remainder when 21 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 50*y - 5293. Determine r(106).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1)\/((-6)\/(-12)). Let c be (-5308)\/(-7) + m\/14. List the prime factors of c\/6 - -1*6\/(-18).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) + -1)*-5)**2 - -4*(1*sqrt(405))**2) + ((-1 + sqrt(45))**2 - (5 + 1 + sqrt(5) + sqrt(5))) + -4.\nAnswer: -458*sqrt(5) + 11806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(256)\/sqrt(4)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 256*m - 249*m - 249963. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = 17*t + 267. Put -1, t, 0, -4 in descending order.\nAnswer: t, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*p + 21 = 0, r = 2*p - p - 7. Suppose -9*o - 240 = 3*o. Let b = r - o. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 3. Let g(m) = 351*m**3 - 165*m**2 - 9*m - 26. Let k(r) = 2*g(r) + 18*t(r). Find the third derivative of k(s) wrt s.\nAnswer: 4212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*p - 97*p**2 - 101*p**2 - 107*p**2 - p**4 + 411*p**2 - 3*p**3 - 2 - 108*p**2 to the form z*p**3 + h*p**2 + m*p**4 + j + t*p and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4822 - 2067. Let t = -1711 + y. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 4. Let b be f(-6). Suppose -2*r - a = -33 + 2, 57 = 3*r + 5*a. Is (r + -3)*14\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 181 = -4*d, 5*v - v = -20. What is the remainder when d is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -10101101?\nAnswer: -10111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1060 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 3 - 4 - 1 + 3 + (2 + 2 - 3)*(3 - 3 + 2))*(y + 5 - 5) to b*y + p and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-17))\/m)\/m**(4\/9) assuming m is positive.\nAnswer: m**(149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-2 - 6 - -26) + -12 + -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 + -240. Let r = 114 + b. List the prime factors of r - 16\/(-6) - 4354\/(-21).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + -79 + 9 - (5 - 68)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/5 + 1289*l**3\/5 + 85471*l**2 + 1532255*l = 0. What is l?\nAnswer: -635, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171383621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 6, m: 1, y: 3, r: 6}. What is prob of sequence rre?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 80*s = -81*s + 13, -2*u + 2*s - 50 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*w + 1584 = 168*w for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -388?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 8 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {a: 1, u: 3, k: 2, z: 1, n: 2, x: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -372.7?\nAnswer: -365.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 21) + -15 - (0 - 19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - m - 3 - 3 + (-4 - 1 + 7)*(-4*m + m + 5*m) + 3*m + 4*m - 5*m + (-2 - 1 + 0)*(m + 5*m - 3*m).\nAnswer: -4*m - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10304*z - 8 + 10519*z + 8. Let m(w) = -10*w**2. Give m(t(d)).\nAnswer: -462250*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*u = 0, -4*a + 29 = a + 4*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 44*w - 23*w + 1 - 22*w. What is y(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3053, 12216, 27487, 48866?\nAnswer: 76353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 186 + -42. Suppose -11*r = r - m. Calculate the remainder when 41 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - (-18 + 2)) + 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3 + (sqrt(567) - -4*sqrt(567)) - (sqrt(567) + -5)*5) + 1)**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9604 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 196\/(-42)*6\/(-4). Differentiate 5 + b + 15*m**2 - 2*m**2 with respect to m.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/343 and 18\/33 - 314210\/840840?\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-332)\/6)\/(24\/(-36)). Find the second derivative of -5*o**4 + 42*o**2 - l*o + 79*o**4 - 42*o**2 wrt o.\nAnswer: 888*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4576*v**2*w + 136563*v**2 - 2*v*w**2 + v*w - w**2 with respect to w.\nAnswer: 4576*v**2 - 4*v*w + v - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**3 + 5. Let b(a) be the third derivative of a**6\/24 - 2*a**3\/3 - 5*a**2. Determine 5*b(j) + 4*y(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.93791 - 2174565.06209. Let k = 2174565.199986 + q. Let o = -2.8 - k. Round o to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 211111211101111?\nAnswer: -211111211101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h - 6*h)*(-112 - 50 + 34)*(2 - 1 - 2)*(-2*h - 3*h + 4*h).\nAnswer: 896*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 287079, 287077, 287073, 287067, 287059, 287049?\n\"Answer: -j**2 + j + 287079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*h = 2663 - 515 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*k + 5*p - 22, 0 = -3*p + 6. Solve -3*x + k = 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k + 6. Let n(q) = 9*q + 5. Give 4*g(m) - 5*n(m).\nAnswer: -5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 3*c + c - 13, 0 = 3*f + 3*c - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 44 = 4*p, -47 = -3*p - 0*h + 5*h. Suppose -p*i = -8*i. Suppose -f + 8 - 5 = i. Calculate the remainder when 6 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*d + 339, -d = b + 4*d + 125. Let p = b - -151. Solve -2*z - 2*z - 4*f + p = 0, 2*z = 3*f - 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202166.68 less than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1196 and 37371412?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4442\/3*(1 + 2). Find the second derivative of u + 79*q**3 + 3*q - 8*q**3 - 4460 wrt q.\nAnswer: 426*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2266356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -112 - -9 - -33.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = p - 65 - 105, -2*p + 331 = -5*w. Let k = p - 156. Factor 2*l**4 + 0 + 14\/13*l**k - 2\/13*l - 8\/13*l**5 - 30\/13*l**3.\nAnswer: -2*l*(l - 1)**3*(4*l - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -1\/2, 1\/95, 14, -1.6?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-2))\/5 + 57\/(-30). Let m(g) be the third derivative of -1\/60*g**6 + 0 + 0*g**3 + 0*g + 2*g**2 - b*g**5 - 1\/6*g**4. Factor m(r).\nAnswer: -2*r*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 49*a**4\/3 + 81*a - 80. Let u(c) be the first derivative of r(c). Let y(z) = -2*z**2. Determine y(u(w)).\nAnswer: -76832*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 1\/5 (c) 5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 - 40 - 48 - 12*s - 53 - 49.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*g*h**2 + g*h + 908*g + 4*h**2 wrt h?\nAnswer: 134*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14638968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, 22.4, 1\/4?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Let t be (k - 0) + 0 + 4. Suppose -t*r = 2*r - 50. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -16. Suppose 2*i - n = 249, n + 371 = 5*i - o*i. What are the prime factors of i?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4 - 100. Let b = f - -41. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 549 divide 2215215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**5 - 12*z**4 + 21*z**2. Let u(c) be the first derivative of -c**6\/6 - 6*c**5\/5 + 11*c**3\/3 + 2. Let k(j) = -3*f(j) + 5*u(j). Factor k(v).\nAnswer: -2*v**2*(v - 2)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 12*p**2 - 14*p + 13. Let b be g(-13). Put 5, -4, b in descending order.\nAnswer: b, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a7 (base 14) to base 10\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/11? (a) 1.0971 (b) -0.5 (c) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/450*-40)\/(88\/6)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1546575 and 425.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -356008520.30308158 - -356008490.7. Let z = l - -1.60308198. Let o = -28 - z. Round o to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (254 - 89 - 157) + (-1 - (-1 - (0 - 22))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -24837\/2, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(9)\/sqrt(3)*3))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(72)*-2 + -2 + 3)*-2)**2 + 3.\nAnswer: -96*sqrt(2) + 1164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {o: 1, w: 1, v: 1, f: 1, m: 1, i: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m + 4*m)*(0 + 0 + 2)*(0 - 5 + 3).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*f + 141 = -77 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284688540*n**2 - 308356104*n wrt n?\nAnswer: -569377080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r**4 + 3\/4*r**5 - 471\/4*r**3 + 0*r - 90*r**2 + 0 = 0 for r.\nAnswer: -3, -1, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or 1314?\nAnswer: 1314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 22*m + 15. Let y be p(12). Let o be (0 + 1)*(5 + y). List the prime factors of (-253)\/(-4) + 1\/o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 703*y - 2. Let c(l) = 2*l**2. What is c(s(p))?\nAnswer: 988418*p**2 - 5624*p + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 4*p - 15. Let n = -23 + 14. Let y be w(n). Calculate the greatest common factor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z + 3. Let g = 118413\/296 - 3201\/8. Sort -1\/6, z, 0, g in descending order.\nAnswer: z, 0, g, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (965\/(-10))\/(9\/18). Let z = 201 + t. What is the greatest common divisor of 36 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 + 4*w**3 - 4*w**2 - 4 - 5*w - 3*w**3. Let c be i(-3). Let y(p) = 0*p**2 + p**2 + p**c. Let b(f) = -2*f**2. Calculate b(y(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-85)\/(-15) + 1\/3. Suppose -h = -9 - y. Let 5*s**4 + 15*s - h*s**3 + 7*s**2 - 2*s**2 + 3 - 13 = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.795 - -0.055. What is o rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5396.08 and -22?\nAnswer: -118713.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20880\/3 + 0*1\/(-2). Let m = k - 3689. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2. Let w(q) = 4*q**2. Suppose -15 = -g - 3*n, 0 = 3*g - 8*g + 5*n + 95. Let p(a) = g*z(a) + 4*w(a). Let x(c) = c. Calculate p(x(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520953 is divided by 260253.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.10687 - 0.1302. Round r to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2904 + -2893. Calculate the smallest common multiple of n and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-5)\/60)\/4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -47, -161, -381, -743, -1283, -2037?\n\"Answer: -6*o**3 + o**2 - 5*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25653 or -7465222\/291?\nAnswer: -7465222\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((6 - 4) + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 102, 408, 916, 1626, 2538, 3652, 4968?\n\"Answer: 101*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 0.4 (b) 4 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -6\/265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*a + 16 - 58, -5*a = -3*b + 25. Let m(j) = -11*j**3 + 2*j**2 - 7*j - 7. Let k be m(-1). Which is smaller: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -23*m + 48. Suppose -5*f - 3*g + 6*g = -2230, m*f = -3*g + 1784. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, x: 1}. Give prob of picking 3 a.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by -4?\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + y = 1 - 3, -2*r = -y - 5. Sort -1, r, 2 in increasing order.\nAnswer: -1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7*w - 108. What is the remainder when w is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540*t = 539*t + 4*h + 380197, -4*t - 2*h + 1520788 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -24*h. Suppose 20*w + 21 - 1 = 0. Let r(p) = p. What is w*u(n) - 15*r(n)?\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -2375165930042.2.\nAnswer: -2375165930042.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3053? (a) 1 (b) -2\/19 (c) -14.5 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.091071 rounded to zero decimal places?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.036?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 - 97 - s - 100.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2269 - 1.0269. Which is the third smallest value? (a) -2 (b) -21 (c) -3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.088, 53, 1\/8, -1\/4, -10 in decreasing order.\nAnswer: 53, 1\/8, 0.088, -1\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o\/o**(-1\/10)*o))\/(o*o**(-2)\/o) assuming o is positive.\nAnswer: o**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21198963, -42397932, -63596901, -84795870, -105994839, -127193808?\nAnswer: -148392777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 9 - 11. Suppose 30 - 10 = n*o. Solve -2*d + 13 = 4*q - 3, 0 = o*q - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13030111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -144, -1161, -3942, -9369, -18324, -31689, -50346, -75177?\n\"Answer: -147*g**3 + 12*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 - 44*f**2 - 15*f + 13. What is v(15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 16 = 0, 9*m - 4*u - 12 = 5*m. Solve 2 = 9*a - m*a - 4*i, 0 = -4*i - 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80772405 divided by -1\nAnswer: -80772405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2337*d - 259. Is n(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klkllkkkaavlaka. Give prob of picking 4 a.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.203 and 10.\nAnswer: 9.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 534\/21983*52*38\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 - 15)*1\/(-2). Let n(u) be the first derivative of -6 + m*u - 3\/2*u**2. Let d(x) = -4*x. Give n(d(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 340 + -357 - (-5)\/1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 1319878?\nAnswer: 10559024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 3*u - 5. Let a be t(4). Let s = a + 1. What is the first derivative of s + 2 - 2*h**4 - 3 wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -42*r**3 - 19*r**2 + 7*r + 3. Calculate n(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 + 4*s + 2. Let f be (1 + -13)\/(12\/(-6)). Let m(g) = -g**2 - 6 + 9 + 5*g + f*g**2. Give -2*m(b) + 3*v(b).\nAnswer: 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 1. Let c(g) = -4*g**2 - 13*g + 201. Let q(a) = -c(a) - 3*w(a). Let l be q(-22). Find n such that 0*n**2 - 1\/5*n**4 + 2\/5*n**3 + 0 + l*n = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 11*q**2 + q**2 - 11*q**2 in the form f*q**2 + w + x*q and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3356 (base 13) to base 3\nAnswer: 100211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 3*w = -71 + 67 - 7, 4*r - 3*w = 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1\/7*j**5 - 6\/7*j**3 + 32\/7*j**2 + 32\/7*j - 5\/7*j**4 = 0 for j.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -3. Let u(z) = z**3 + 12*z**2 + 11*z - 3. Let s be u(-11). Let b(v) = v**2 + v - 1. Let a(x) = -x + 4. Let w(l) = s*b(l) - a(l). Determine w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 319\/7 - 45. Let k = -402.3 - -402. Suppose 0*t - 13 = 3*m - t, -5*m - 18 = 2*t. Which is the biggest value? (a) m (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 2*p - 8. Give c(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 4040*r + 3 - 3*r**2 - 1 + 1243*r as j*r**2 + i + m*r and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1044 and -1\/233334.\nAnswer: 466668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 8*o + 10. Let y be p(7). Let x be y\/(-6) - (-9)\/6. Solve -u - 4 = x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = s - 17, -8*s = -3*v - 11*s + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 120*f**2 + 3*f - 3. Let h be (20 - 19) + 0 + 1. Suppose -6*w = -4 - h. What is the hundreds digit of d(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 295, 1017, 2389, 4627?\nAnswer: 7947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 631*n**2 - 103*n**2 + 1029*n**2 in the form f*n + o*n**2 + x and give o.\nAnswer: 1557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.46 - -0.46. Let f = -0.4 + 0.5. Which is the second smallest value? (a) -0.6 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**(3\/5)))\/(w**(2\/37)\/w)*((w\/(w*((w\/(w*w**4*w))\/w)\/w*w))\/w)**(-3\/8) assuming w is positive.\nAnswer: w**(-3743\/1480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000140095 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.48? (a) -0.4 (b) 1270 (c) -0.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1946 - -2041. Solve 96*l = i*l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/(-23)*-1*8\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 24) + 6 + 0 + -11 + 70.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49.43 in -4, -1, 5, -2\/51?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = -15*z. Suppose z = -3*f + 4*b + 1 + 2, 3 = 3*f + 3*b. Let a be (-12*f)\/(-4)*17. What is a rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 460.5*3.763\nAnswer: 1732.8615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 3*b + 4. Let j be x(-3). Suppose -s - 3*p + 15 = -3, -5*s - j*p = -46. Let a = 407 - 380. What is the remainder when a is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-9))\/((-42)\/(-252))*366\/610.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 20 + 179 + 10)*(-2*r - 2*r + 2*r).\nAnswer: -394*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009013419 to six decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23312 - -4021?\nAnswer: -18281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*i**5 + 120175*i**4 - 254162*i**3 + 146690*i**2 - 13399*i + 335 = 0. Calculate i.\nAnswer: -335, 1\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b6b - -a?\nAnswer: 3b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307223.\nAnswer: 17, 135719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*s**3 - 73*s**3 - 434*s**3 + 608 - 608.\nAnswer: -454*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*s**2 - 40724 + 40724.\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*j + 4. Let n(z) = 2*z**3 - 3*z + 6. Let i(k) = 2*k**3 - 4*k + 7. Let r(x) = j*n(x) + 6*i(x). Find the second derivative of r(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545347657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51265967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 126*m - 112. Let t be h(1). Solve t*n = 10 + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513234122?\nAnswer: 2, 3, 252205687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 6 + -15 - (-5 + 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21, 199, 535, 1029, 1681, 2491, 3459?\n\"Answer: 79*l**2 - 59*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0)\/(3 - 6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337466461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-832)\/(-546)*-7*(-9)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -44424132 (base 5) to base 3\nAnswer: -201210000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1995)\/(-120) - 17)\/(3\/4). What is the second smallest value in -0.07, 0, a?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.152 - -2.2. Let s be -3*5\/45 + (-4)\/(-6). Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 7*v**6\/33 - 102*v**5\/55 + 119*v**4\/22 - 22*v**3\/3 + 54*v**2\/11 - 16*v\/11 - 98. Let l(d) = 0. Calculate d.\nAnswer: 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -8\/11*a**3 - 8\/11*a**4 + 10\/11*a + 4\/11*a**2 + 4\/11 - 2\/11*a**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1919970 divided by -213330.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.607534213 + -1\nAnswer: 2.607534213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 102?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193536 by 2304.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/19 or -13555480?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 0 + 1 + 5*x + 1 - 8*x. Let o(h) = -2*h + 2. Give 5*k(q) - 6*o(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 626066, 624684, 623302, 621920?\nAnswer: 620538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12500100 a multiple of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -105cb (base 14) to base 5\nAnswer: -2231300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s + 7. What is the units digit of i(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a = 33*a - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 15380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:36 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 132295*o. Let b(g) = 123*g**2. Calculate b(i(l)).\nAnswer: 2152741944075*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -5099405 = -5099405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7*z = -4*z - 43, -2*b + 3*z - 19 = 0. Let w be 3*(-16)\/(-18)*(-6)\/b. Solve 12 = w*n + n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231 + 235. Let k(v) = -3*v**3 + f*v**2 + 4 + 2*v**3 - 13*v + 9*v. Let q = 7 + -4. What is k(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/11 - 3370*n**3\/11 - 10719942*n**2\/11 + 18939851386*n\/11 - 37836796076\/11 = 0. What is n?\nAnswer: -2339, 2, 2011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3 + 17*j - 15*j + 29*j. What is the tens digit of w(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1443\/222 + 5\/(-2). Suppose -2*m + o*n + 12686 = 0, -3*m + 3*n + 2*n = -19024. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**3\/3 + 4*r**2 + 8*r - 8. Suppose 5*p + 5 = -25. Determine o(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 20347404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3663 and 0.4.\nAnswer: 1465.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/611 and 115\/182.\nAnswer: 8554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + (-1088)\/(-2880)*200.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7995339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*z - 9 - 6, -n + 2*z + 11 = 0. Let y be ((-3)\/(-4))\/(-3) - 63\/(-12). Sort n, 1, y in increasing order.\nAnswer: 1, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -515, 32, 579, 1126, 1673?\nAnswer: 2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 9:19 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/8 - 11403*t\/4 - 68445\/8.\nAnswer: 3*(t - 7605)*(t + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 139*x + 2 - 59*x - 72*x. Let h(p) = -7*p - 2. What is 4*h(n) + 3*o(n)?\nAnswer: -4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + -4c?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - m**2 + 23*m - 33. Give r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 81*w**5\/5 + 4*w**3\/3 + 2*w**2 + 118. Find the third derivative of j(o) wrt o.\nAnswer: 1944*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-4 - -1) - 10) + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 93 = 3*f, 4*f = 3*k - 0*k + 123. Let u be 48\/(3 - -1) - 0. Calculate the highest common factor of f and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 747 and 83.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 1)*(0*d**3 - d**3 + 2*d**3) + (-3*d + 3*d + 7*d**2)*(-d + 0*d - d) to i*d + v*d**2 + c + b*d**3 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*v + 2*c - 135, 0 = -5*v + 3*c - 167. Let z = 14 + v. Let k be (z\/8)\/((-2)\/16). Calculate the highest common factor of 100 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 - 160. Is 4\/(-1)*(6 - 4292\/m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Let c be (-36 - k) + 1 - 2. List the prime factors of ((-1)\/2)\/(3\/c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32751 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (1*sqrt(1573)*-1 - sqrt(1573)))**2 + (sqrt(1573)*1*3)**2 + 1.\nAnswer: 28315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p + 3. Give b(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -60426320 plus -2404?\nAnswer: -60428724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 6 - 23*c**4 - 5*c + 26*c**4 in the form p*c**3 + z + n*c**2 + a*c**4 + w*c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 13*s**10\/151200 + 13*s**6\/720 - s**5\/10 + 2*s**2. Let t(p) be the third derivative of k(p). Differentiate t(f) wrt f.\nAnswer: 52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and (-6 + 42\/10)\/(6\/(-100)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -8, -2, -0.07, -1\/2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -17*p + 13*p - 20, 0 = -5*p - 5*d - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 3, y: 4, c: 1}. Give prob of sequence yj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d. Suppose 6*a - 3*a = -6. Let o be (40\/(-9))\/a + 4\/(-18). Let v(n) = -21*n**2 + 0*n + 0*n + 20*n**o. Determine z(v(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/120 and 91\/5233500.\nAnswer: 10467000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let h be (-2)\/(24\/9 - j). Let c be (0*h\/9)\/(-1). Solve -16 = -4*n - c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/138 and -47\/450?\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4\/4 - 2*w**3 + 4*w**2 + 7*w - 4. Let r be y(-7). Let v = r + 10. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213286697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**3 + 8*k**2 - 6*k - 8. Let n be -1 + (-9 - -6 - 20). Let s be (-50)\/20*n\/10. Let x(w) = 6*w**3 + 7*w**2 - 5*w - 7. Give s*x(i) - 5*u(i).\nAnswer: i**3 + 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/4 + 11*g**3\/2 + 101*g**2\/4 + 39*g\/2.\nAnswer: -g*(g - 26)*(g + 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = h + 380313, 10*o - 8*o - 4*h - 190132 = 0. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3757 = z - 609. Is (0 + z\/16)*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313279 plus 1460?\nAnswer: 314739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1191164, 1191157, 1191136, 1191095, 1191028, 1190929, 1190792?\nAnswer: 1190611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-2*l + 2*l + l)*(l + 12*l - 8*l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.207233682 to 4 decimal places.\nAnswer: -0.2072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlmm. Give prob of sequence ml.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -482\/9 + 54. Which is the fourth smallest value? (a) l (b) -0.1 (c) 2\/9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:42 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwawaww. What is prob of picking 2 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) -1\/2 (b) -1\/3 (c) -4 (d) -0.393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 - -105. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*l + 21 - 123, -111 = -4*r - l. Let d = -22 + r. Suppose 0 = d*o - 4*o. Solve -6*g + g + 5 = o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34596*w + 17278*w + 17285*w - 5.\nAnswer: -33*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h**4\/7 + 968724*h**3\/7 + 1291785*h**2\/7 - 3767250*h\/7 - 5382000\/7 = 0. What is h?\nAnswer: -5\/3, 2, 35880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 9*a**2 + 8. Let q be l(-9). Let s = -1241 + 1241. Solve -2*b - q = s, -k + 7 = -4*k - 4*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/1020 + 71*p**5\/510 + 1295*p**4\/204 + 1225*p**3\/51 + 473*p**2. Solve w(t) = 0 for t.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(1216))**2.\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*((o\/(o\/o**(1\/3))*o)\/o)\/o)**(-9\/8)*(o*o**(-3)\/o)\/o**(-2\/11) assuming o is positive.\nAnswer: o**(-479\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-2 + 4)*4 + (sqrt(320) + 1 + sqrt(320))*5 + -5)**2.\nAnswer: 512*sqrt(5) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+65597\nAnswer: 65597.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -375 or -322?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2 of a year in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-2 - -3 - -1) + 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -5, 0.\nAnswer: -5, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-88)\/30)*(-10 + 16)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 18*n + 59*n - 560*n + 1117 = -344, -2*n = -4*n + 4*n - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12768840?\nAnswer: 2, 3, 5, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11113, -17683, -24253?\n\"Answer: -6570*l - 4543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - (-48)\/(-6)) + 5357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 4\/16*2. Let i = -667\/7 + 95. Let l(g) = 2*g**2 - 4*g - 126. Let h be l(-7). Which is the nearest to h? (a) p (b) -6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936056505 is divided by 3268.\nAnswer: 3265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:55 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*y - 517 - 864, -4*y - 1376 = -w. Let r = -384\/17 + 7405\/306. Find the common denominator of r and (-10)\/72*w\/40.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -829, -1656, -2483, -3310, -4137?\n\"Answer: -827*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 7*u**2 + 7*u - 1. Let w be m(6). Suppose 0 = -w*s - b + 180, 5*s + 7*b = 5*b + 185. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58333 = 58331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2470*l - 1238*l + 41 - 41 - 1235*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1 (c) -6\/5 (d) 2 (e) -506 (f) -3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 2\/9 (c) 0.6 (d) -3\/4 (e) 5\/3003\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -74*r - 10266. Give y(-127).\nAnswer: -868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115232 = 5*y + 4*l, -y - 92229 = -5*y + 3*l. What are the prime factors of y?\nAnswer: 2, 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-2)\/(-6))\/((-3)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -141961 rounded to the nearest 1000?\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-22)\/(-440))\/((-8)\/(-340)) and -47\/146.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 409971500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 254 - 455. Let a be (g\/77 - (-22)\/121) + 2. What is the fourth smallest value in a, 5\/4, 2\/5, -1\/2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*v - 15 = 0, -2*v = -0*w - 3*w - 16. Sort w, -15, -4, 2 in descending order.\nAnswer: 2, w, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896)*-3)\/sqrt(2) + (sqrt(448) - (sqrt(448) - ((sqrt(448) - -3*sqrt(448)) + sqrt(448) + 0 + sqrt(448)) - sqrt(448))**2))*-6 + 2.\nAnswer: 96*sqrt(7) + 96770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -5104\nAnswer: 510.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 13*c**2 - c + 13. Give i(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4.036. Let h = -0.01 + w. Let u = -0.0260132 + h. Round u to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001806532 to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -51 + -19 + 1 + (-16 - -20)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 68*f**2 - 55*f + 8. Calculate y(-35).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/186*11\/(11\/(-72))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16012390 to the power of 1\/2, to the nearest integer?\nAnswer: 4002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1\/1831395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*w + 32, 4*r + 5*w + 11 = -2. Suppose 0 = 2*n - r*n - 2, 5*n = p - 13. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*f - 81 = 0, -3*i = -6*f + 2*f - 77. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 893659 and -5?\nAnswer: 893664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 17 = -8*f. Suppose 3*w - 80 = -2*p, 5*p = 3*w + 222 - 64. Calculate the remainder when p is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890350.\nAnswer: 2, 5, 7, 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g + 250. Let t be l(-27). What is the remainder when (-2)\/(t - (-1183)\/(-168)) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9755651363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:38 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:32 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (290\/(-4))\/((-10)\/40). What is k rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -13*b**7\/210 + b**5\/10 - b**2 + 2. Let g(v) be the second derivative of p(v). Find the third derivative of g(k) wrt k.\nAnswer: -312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7625 - -1105.\nAnswer: -6520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 2*b + 5. Let y be l(0). Solve -3*t - y*d = 2 - 0, t = 5*d - 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 - 96 = 5*d. Suppose -149 + d = -5*c. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36882 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 25. Suppose i*j - 43 = 4*j. Suppose -4*r + 162 = 3*w + j, -4*r = w - 109. Solve 2*g = 2*h - h, -5*g - 4*h + r = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-351)\/39*2\/18*6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137\/3 + 46. Let h = -59 - -58.9. Let y = -1.2 - -0.8. Which is the closest to 0.1? (a) y (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(539) + -1*sqrt(539) + 2 - (3*(sqrt(539)*-1 + sqrt(539) + sqrt(539)) + 4))**2 + 4.\nAnswer: 42*sqrt(11) + 4859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9666*f**6 + 9759*f**2 wrt f?\nAnswer: 1159920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/(554\/(-132129)). Round t to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -474 (base 12) to base 8\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.8 + -4.3. Let w = -21 + c. What is the smallest value in -2\/7, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617*u + 612*u = -3*w - 35, -w - 4*u = -11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-6)\/(-8) + (-1)\/(-4)). Suppose -w - z*w = -a - 521, 0 = -3*w - 3*a + 513. Calculate the remainder when w is divided by 90.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2975 - 2975 - 155577*j**3 + 155559*j**3.\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -780, -1587, -2432, -3327, -4284?\nAnswer: -5315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 + 3*v**2 + v**2)*(3*v + 5*v - 6*v) + (0*v**3 + 0*v**3 - 2*v**3)*(-1335 + 2146 + 2022) in the form q*v**2 + j*v**3 + x + a*v and give j.\nAnswer: -5662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 101.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1767a5431 - 5?\nAnswer: 1767a5428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63840*q - 4455 = -63885*q for q.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 5, 2\/15, -84566, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 321312033?\nAnswer: 321312020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/28 - (-10)\/35. Let g = -0.263 + 0.203. Let m be (-1)\/2 + (-18)\/(-52). Sort 1, n, g, m in decreasing order.\nAnswer: n, 1, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 1 + (4 - 3). Suppose 2*v - 5*a = -0*v - 99114, i*v - 2*a = -198260. Let r = -4433 + v. What is r rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33280786 is divided by 723495.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/794 and 61\/3573.\nAnswer: 7146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {i: 5, x: 2, c: 9, r: 2, a: 2}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 v when three letters picked without replacement from {p: 1, h: 1, v: 13}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -23*y**3\/6 + 978*y. Let c(a) = 14*a. Determine c(f(q)).\nAnswer: -322*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-27))\/(7\/(-63)). Suppose 55 = j*i - 5*l, 2*l - 36 + 2 = -2*i. Solve 5*p = 5 + i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318613 or -1911671\/6?\nAnswer: -318613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 2:10 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -6774.69?\nAnswer: -6750.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10850760 and 6120?\nAnswer: 10850760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77\/4 or 19?\nAnswer: 77\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-60)\/96*-80.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - ((4 - 8) + 0)) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/7 - -1\/14. Let p = 2155 - 2159. Which is the nearest to p? (a) j (b) -2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:17 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 + -0.05. Is -0.5 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 135 + 40 = 0. Let c(f) = -f**2 + 18*f + 34. What is the least common multiple of c(x) and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.09893ml to litres.\nAnswer: 0.07809893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.101412ml to litres.\nAnswer: 0.000101412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -14. Let a be u\/6 - (-1054)\/6. Suppose 502*m - 504*m + 52 = -2*w, 2*m + 4*w - 106 = 0. Calculate the greatest common divisor of a and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 27 = 3*x. Calculate the smallest common multiple of 2 and x\/(6 + -4 + (-166)\/80).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.1066.\nAnswer: 0.0533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 131*w - 896. What is the remainder when 858 is divided by v(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5994 by -3714.\nAnswer: -999\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3 + 3)*(5389*u + 62353 - 62353).\nAnswer: -10778*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8184291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 12:24 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-24)*188\/282.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41931097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/81 and -79\/54?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-390)*-15)\/((-8)\/(-160)*-30)?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpwn when four letters picked without replacement from {w: 4, t: 3, h: 2, p: 2, n: 6}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/12 + q**3\/3 + 4*q**2 - 11*q. Let o be x(4). Is o > -10\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1620303, 6481235, 14582793, 25924977, 40507787?\n\"Answer: 1620313*p**2 - 7*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5925 is divided by 146?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**5\/60 - 5*v**4\/24 - v**3\/6 - 3*v**2. Let s be m(-4). What is the first derivative of -3 + 5 - l + l - 4*l**s wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -248 - -175. Let q = k + 74. Which is the nearest to q? (a) 2\/13 (b) 23 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*u - 61 = 4*y, y + 5*u + 31 = 0. Is (-40)\/y + (-4893)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. Suppose -4*k + 51 = -5*i + 7, 3*k - 5*i - 28 = b. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - 269. Calculate the common denominator of 23\/4 and u\/24 + 3\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1762 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*j**2 - 154*j**2 + 13*j - 15 + 15)*(j + j - 5*j).\nAnswer: 306*j**3 - 39*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - a**2 + 3. Let c be k(0). Let i be -1*5*(-2)\/5. Suppose c*l = 6 + 9, i*j - 87 = 5*l. Calculate the highest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1282.76512 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58226080739 + 52.\nAnswer: 58226080791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 28. Suppose 4*o - 8 = w*l, 3*o - 8 + 4 = 5*l. Let i be (l - (-5)\/15)\/((-4)\/(-18)). Solve 5*d - i = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50*136\/10200)\/(118\/6*1)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -15. Let b(m) = 66*m**2 + 1383*m - 49. Let w be b(-21). Solve w*o = n*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44882878.\nAnswer: 2, 89, 252151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 1. What is h(11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117184132.\nAnswer: 2, 13, 443, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15173395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (6 - (9 + 4)) + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 181 in -105, -4\/11, 3, 1\/5, -32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2882230 to the power of 1\/2, to the nearest integer?\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b1411 (base 15) in base 5?\nAnswer: 120424131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2499 and -1.4.\nAnswer: -3498.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = 0, q - 105 + 92 = -3*o. Sort -21, 3, o, 4, 7 in ascending order.\nAnswer: -21, 3, 4, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -8475724.\nAnswer: -8475724.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.7 - 25. What is the nearest to a in -4\/7, -4, 0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1327 - 565. Suppose -3*s = -s - d. Let m = s + -1501\/4. Find the common denominator of -55\/4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z. Let t(v) = -66*v**2 + v + 200. Determine t(x(g)).\nAnswer: -264*g**2 + 2*g + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*h**3 - 24*b**2*h**2 - 144*b**2*h - 13*b*h**3 - 188*b - h**3 - h wrt b?\nAnswer: -6*h**3 - 48*h**2 - 288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90014444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 - -74. Suppose 0 = 3*t - 4*t + 5*r + 5, -5*t + 2*r + k = 0. Suppose t*i + 680 = 5*i. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20605, 3, -6 in descending order.\nAnswer: 3, 2, -6, -20605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-96)\/(-10)*(34\/(-6) + 469\/67). Let 2\/5*t**2 + 512\/5 + r*t = 0. Calculate t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5511, -3, 4, -1, 51 in decreasing order.\nAnswer: 51, 4, -1, -2, -3, -5511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -c23 (base 16) to base 7\nAnswer: -12026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhb when four letters picked without replacement from bbbhhbbhhbhhhhbhbbb?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.69 + 2.007. Is -2 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/13))\/((z*z**2*z)\/z))**(-19)*((z\/(z\/(z*z*((z*z**0)\/z)\/z*z)))\/((z\/((z*z*z**3\/z*z)\/z))\/z))\/(z**(-1)*z**(1\/2)) assuming z is positive.\nAnswer: z**(1233\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5318574395 to the nearest integer?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101936154 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -199.1 - 65.9. Let w = o - -264.85. Suppose -c = -2*c - 1. Is w less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 0 - (-220 + 168)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + 0. Let p = -2.597 + 4.597. Which is the closest to -2\/7? (a) 2\/13 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -402 and 61.22.\nAnswer: -340.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76544672?\nAnswer: 2, 2392021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 104605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 take away -287.553?\nAnswer: 309.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n. Let b(m) = -10*m**2 + 2*m - 1. Let c(r) = -r**3 - 14*r**2 - r - 18. Let o be c(-14). Let s(l) = o*h(l) - b(l). Let d = 3 + -4. Give s(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11241306 + 11241186.00063. Let t = -120 - h. Round t to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 291787\/716 and 408 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 10*v + 9. Let q be a(9). Suppose 5*y - 7*y + 4 = 0. Let z = 2 - 2. Solve -3*w + 9 = q, -s - 2*w + z*w + y = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 49 - 1 = 0. Suppose m + z*h - 1234 = 0, 971 + 2786 = 3*m + 4*h. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47822 + -12983. Let n = -6584608\/189 + m. What is the common denominator of n and -103\/42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 841, -1 in decreasing order.\nAnswer: 841, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m + 3. Factor -13*t - m*t**2 - 11*t - 5*t + 12 + 15*t.\nAnswer: -2*(t + 3)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(2 + sqrt(450)))**2 - (sqrt(1000)*-3)\/(sqrt(45)\/(sqrt(9) - sqrt(9)*-4)).\nAnswer: 8790*sqrt(2) + 65376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 2*k**3 + 46*k**3 + k**2 - k. Suppose -p - 1 + 2 = 0. Is v(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u = -434. Let g(k) = 3*k + 5698*k**2 - 5648*k**2 + 1 - 7*k. What is the remainder when u is divided by g(-1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (398610\/(-34056))\/(80\/(-176)).\nAnswer: 103\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35967*a**2 - 2*a**3 + 71899*a**2 - 35951*a**2.\nAnswer: -2*a**3 - 19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 3*c. Determine r(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*u - 4)*(-3 - 1 + 3)*(-1 + 3 + 1).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28008 and 81.\nAnswer: 252072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 314\/13. Suppose 5*r - 2 = -17. Let l(z) = z**2 + 2*z - 2. Let v be l(r). Which is greater: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266624 and 5792?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-6) - 1)\/((-20)\/90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 40, 2, 3\/2, -3.0464?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13358061 is divided by 456?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 25 = 0, 5*c + 5*r - 17 = 18. Let s(p) = -48*p**c - 6*p + 94*p**2 - 47*p**2 - 3 - 4. Calculate s(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -361, -5\/4, 960462 in descending order.\nAnswer: 960462, -5\/4, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 2*n - n**3 + 13 + 220. Is x(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 447\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15310 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 0*j - 5*j**2 - 2*j - 16*j**3 - 2 + 1. Suppose 1 - 5 = 4*g. What is the remainder when x(g) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x**5\/2 - 2153*x**4 - 4008*x**3 - 1543*x**2 + 617*x\/2 = 0. Calculate x.\nAnswer: -1, 0, 1\/7, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.5 (c) 76\/67 (d) -0.3 (e) 3 (f) -4.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(0 + 1) + 0. Let d(s) = 2*s**2 + 4*s**3 + 0*s + 2*s + 3*s**2 - 3 - 3*s**3. Calculate d(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63205 = 20*q - 78535. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -110*q**2 + 40*q**4 - 24*q**3 + 120 - 5*q**5 - 60*q - 21*q**3 + 160*q = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4539 + 5245. Put -3, -4, g in decreasing order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zttztttzttzzzztt. Give prob of picking 1 z and 3 t.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, h: 5, b: 2, r: 5}. What is prob of picking 2 e and 2 r?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243951 and 40833.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 3. Determine q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/18 and 37\/244.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 7) in base 2?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11739384 and 157320?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6805.657 centuries?\nAnswer: 68056.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 704084 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 - 1558 + 1558. Let c(q) be the first derivative of -q**3\/3 + 46*q + 105. Give c(d(n)).\nAnswer: -9*n**4 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 + -120. Suppose -4*o + 14*o - 1690 = t. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1940430, -3880862, -5821294?\nAnswer: -7761726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12870 by 6.\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0183284438 rounded to four dps?\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/27*-42 + (-6)\/(-1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*c + 19*w, 0 = -4*c + 4*w - 397 + 385 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -31794805.36 + -211.8\nAnswer: -31795017.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3704 and -0.1.\nAnswer: -370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537442?\nAnswer: 2, 268721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2091 and -0.4.\nAnswer: -0.1909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j\/(j\/(j*j**(5\/8))*j)*j)\/(j\/(j*j*j*j**8\/j*j*j*j)*j**(-2)))**25 assuming j is positive.\nAnswer: j**(3325\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y**2 + 2528*y - 846. Let n be u(-211). Suppose 2*d - 1 = 3*d + o, 3*o = 5*d + 5. Put 3, n, d in increasing order.\nAnswer: n, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 600*j + 42323. Give n(-59).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130214*t**3 + 369*t**2 + 680*t wrt t?\nAnswer: 781284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and -23.\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 229*m - 425*m - 103*m - 122*m as j*m + a and give j.\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 17690 + 18*r**2 - 1661 - 6045.\nAnswer: 23*r**2 - 25396","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {p: 1, x: 1, j: 2, o: 2, v: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.5. Let c = j - -3.5. Suppose -41 = 3*r + 4*x, -5*r + 3*x + 53 = 15. What is the closest to r in 0.4, c, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-272)\/442)\/(4\/(-52)) + (-26434)\/3294 and -45\/427.\nAnswer: 11529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201 is divided by 1126.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 21*x**2 + x - 17. Let l be b(21). Find the third derivative of 15*i**5 + 88*i + 14*i**2 - 3*i**l - 84*i + 2*i**2 wrt i.\nAnswer: 900*i**2 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265780 by -2.\nAnswer: -132890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10322, 83366, 281848, 668486, 1305998, 2257102?\nAnswer: 3584516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -55690553671 and -1.5?\nAnswer: 55690553669.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/3))**(-8) assuming a is positive.\nAnswer: a**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 + b**2 + b - 1. Suppose 1 - 2 = -i. Let o be w(i). Let s(l) = 5*l**2 + 2*l. Let r(y) = -y**2 - y. Calculate o*r(z) - s(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**5\/6 + 11*i**4\/2 - 141*i**3\/2 + 873*i**2\/2 - 1296*i + 1458 = 0.\nAnswer: 3, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2\/4 - 78*v - 2835 = 0.\nAnswer: -270, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 9 + -4 - (15 - 9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2174355044 minus 1?\nAnswer: 2174355043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 10*z**2 - 7*z - 12. Let o be d(9). Suppose 2*x + 3*s + o = -2, 4*x = s - 30. Let f = 0.5 + -0.4. Is x >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 67.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqnli. Give prob of picking 1 q and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -24112.046 rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 7. Let f be z(-7). Suppose b + 5*u - 3*u = 8, -u = -b + 2. Factor -1\/3*i**5 + 0*i + f*i**2 - 4\/3*i**3 + 4\/3*i**b + 0.\nAnswer: -i**3*(i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) -1.2 (b) 0.026 (c) 0.16 (d) 0 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - -0.05. Let s = 300 + -304. What is the third biggest value in s, t, -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520262205?\nAnswer: 3, 5, 233, 148859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 + 304*n + 1522\/5.\nAnswer: -2*(n - 761)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 7*h - 42. What is the units digit of z(27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 2. Let z be g(7). Suppose -5*o - s + 19 = 0, 2*o + 14 = z*o - 2*s. Suppose 0 = o*x - x - 21. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 449 + -442. Solve -u*f - 4*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 greater than -772\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 1 + (-3 - (-111)\/(-84)). Let m = 16123\/1596 - 208\/19. Let p = l + m. What is the common denominator of -107\/22 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, 30, 6, -57, 2\/5, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 43. Let f(y) be the third derivative of 0*y**3 - 151*y**2 + 0*y + 0 - 1\/6*y**4. Calculate n(f(c)).\nAnswer: 8*c - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y*y*y*y\/(y*y**(-1\/14)))\/(y*y**40*y*y**(3\/19)) assuming y is positive.\nAnswer: y**(-10131\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 20. Let w = r - 7. Let t be (-2)\/7 + w + -1. Is t > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 3*x**2 + x - 2. Let q(u) = -189*u**3 - 28*u**2 + 11*u - 22. Calculate 22*p(j) - 2*q(j).\nAnswer: 356*j**3 - 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205232?\nAnswer: 2, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531039 is divided by 280.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35182076911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*z - 186 = 0, 4*o + z - 190 = -0*o. Suppose 4*j - o = j. Find the first derivative of 7 + j*f - 2*f**3 - 16*f wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/5)\/f)\/f**(-12)*(f**5\/f)**(-8\/9) assuming f is positive.\nAnswer: f**(371\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-20)\/(-8))*4. Let d be 0 + 6\/3 + 14. Solve 2*q = -i*q + d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 5. Let k be y(4). Let g be 6 + -1*(-5 - 0). Let l = g + k. Solve 0 = -l*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121 and 5115.\nAnswer: 56265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15035, -15028, -15013, -14984, -14935, -14860, -14753, -14608?\n\"Answer: p**3 - 2*p**2 + 6*p - 15040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7*t - 3*p = 31, 3*p - 46 = -5*t. Calculate the remainder when 4528 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 18*i - 87. Let h be m(5). What is the third derivative of u**4 - 35*u**5 - u**4 + 113*u**2 + 3*u**h + 2*u**2 wrt u?\nAnswer: -2100*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-1)*j*j*j*j)*j)**(-14\/5))**(-1\/4) assuming j is positive.\nAnswer: j**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 13.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 749136 and 624.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8772 + 15676. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 2. Let d be o(-4). Let l be 48\/(-9) - 2\/(-6). Let w be 4\/(-10)*l\/1. Is d at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from liulxxuixdddltdu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 3*u. Suppose -3*c + 0*c - 15 = 0, -4*f = -u*c - 3098. Let g = f + -5436\/7. Calculate the common denominator of g and -63\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39440 = 12121*s - 12150*s. What is the greatest common divisor of s and 1564?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:00 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1141 = 30*v - 2219. What is the lowest common multiple of 32 and v?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1\/7 (c) -3 (d) -216 (e) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/1716)\/((-660)\/99)?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2 - 2)*(1134*z - 27*z**2 - 1134*z)*(-8 + 19 + 7).\nAnswer: 1458*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.67255 to one decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/(-35) + 135\/105. Which is the closest to -1? (a) -0.04 (b) s (c) 2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 2 - 38) + 1 + 1 - 16?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 s when four letters picked without replacement from sdcdpp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 3*j**2 + j**2 + (-j + 0*j + 0*j)*(-3*j + 3*j - j) + 0*j + 0*j - 2*j**2 + 0*j**2 + 0*j**2 - j**2 - 521*j**2 - 69*j**2 + 82*j**2.\nAnswer: -511*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -119\/118?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**3\/2 + 4666*m. Let r(j) = j**2 + j + 1. Let s(t) = 80*t**2 + 60*t + 60. Let n(c) = -60*r(c) + s(c). Give n(a(f)).\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k + 5*a + 4, 0 = 2*k + a - 3. What is the third derivative of 4*p**k + 0*p**2 + 3*p**4 - 3*p**2 - 2*p**2 wrt p?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*o + 48 = 0, -11*o + 9*o = 4*c - 42. Calculate the remainder when 1331 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3222743203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4830*h**2 + 560. Let u(w) = 8*w**2 + 1. Give -5*i(r) + 2800*u(r).\nAnswer: -1750*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 11:11 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/3 and 1*15\/25 + (-1568)\/1380?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*b + 48438, -5*b - 2*n + 14483 = -66216. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65482, -65375, -65268, -65161?\nAnswer: -65054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.48505 - -4719.\nAnswer: 4716.51495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/85 and -38\/697.\nAnswer: 3485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -1451?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 140832 + 351?\nAnswer: 141183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -359*g + 7173. Determine y(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1305*c = -1274*c - 124. Solve -15 = -c*d - y, 5*y + 19 = -d - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 129 + (-18 - 18)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690 divided by -10?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j + 542 - 540. Let a(p) be the second derivative of -2*p**2 + 0 + 7\/9*p**3 + 1\/6*p**4 + j*p. Find n, given that a(n) = 0.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359*c**2 + 354*c**2 + 355*c**2 + 352*c**2 - 1779*c**2 + 361*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 12*d + 292. What is the remainder when 507 is divided by x(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - 10*p - 13. Let u be m(5). Determine h, given that 1\/3 + 4*h + u*h**2 = 0.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3 + 5 = i, 2*z - 5*i = -31 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 7:01 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391287771.\nAnswer: 3, 7, 307, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a - 3. Let y(i) = -13*i + 6. Let h(f) = 5*k(f) + 3*y(f). Is h(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -4, -0.2, 1, 0.\nAnswer: -4, -0.2, 0, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2043033?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.438, -4, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1227*t + 1230. Let q be b(-1). Let v(s) be the third derivative of -1\/12*s**4 + 0 + 0*s + 1\/15*s**5 + 1\/60*s**6 - 2\/3*s**q + 12*s**2. Factor v(u).\nAnswer: 2*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 45 = -0*i - 2*i, -i + 3*w = -45. Suppose -r = 5*r - i. What is the third derivative of -r*v**4 + 6*v**4 - 10*v**5 - v**4 - 9*v**2 wrt v?\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/11)*k**0)\/(k**(-4)\/k**(-9)))**(-1\/26))**(-8\/13) assuming k is positive.\nAnswer: k**(-228\/1859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-16))\/((-2)\/24). Let o be 1 + (-3)\/(r\/(-2)). Let u be (-2)\/(-1) - (o - -2). Solve u = -4*z - 0*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.873 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 625155.9 centuries in decades?\nAnswer: 6251559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 448 - 852. What are the prime factors of r?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p**2 + 60*p + 5. Let s = -268 + 279. Let o be v(s). Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18\/17 + 2\/17*b**3 + 30\/17*b + 14\/17*b**2 = 0 for b.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(4 - (-14)\/(-4)). Let h(r) = -r**2 + 15. What is the tens digit of h(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8 + 6 - 2*t**2 + 6*t - 6*t**2 + 2*t**2 + t**3. Let k be c(5). Suppose k*o - 12 = -2*q, 2*q + 2*o - 6 = q. Do q and 9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 7*k**2 + k - 2. Let w be p(-6). What is the highest common divisor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -80*f**3 + f**2 - 8*f - 8. Let k be o(-1). Calculate the highest common divisor of k and 891.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(11\/3)\/v**(1\/11)*(v**(-5)*v)**(11\/2))**(-20\/9) assuming v is positive.\nAnswer: v**(12160\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1872) + (sqrt(1872)*-2*-3 - sqrt(1872)))**2 + 4 + -5*(0 + -1*sqrt(1872))).\nAnswer: -134792 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187 + 1307\/7. Which is the second smallest value? (a) 0.1 (b) 17 (c) -0.4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 + 1. Let n(o) = -18*o**3 + 30*o**2 - 16*o - 5. Suppose 75 - 15 = -15*t. Let l(p) = t*n(p) - 36*z(p). Factor l(w).\nAnswer: 4*(w - 1)*(3*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/66*(6 + ((-12)\/(-3) - 8)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -72 * 1.18\nAnswer: -84.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*d = -5*d + 3, -5*d = 5*q + 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3220)\/4025*(0 + (-15)\/(-66)). Let w = -12 + 5. What is the closest to 2 in v, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4 - 121*i**3 + 1548*i**2 - 6320*i + 8512 = 0. What is i?\nAnswer: -133, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -559999*o**2\/2 + 10*o + 1. Let q be v(-10). What is q rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4686 + 4633. Suppose 3*n + 14*v = 19*v + 9347, 3*n = -2*v + d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-2 - (0 - 0)). Suppose 3*x = l + 3. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4025 = -8*v + 3215. Suppose -4*i + v - 317 = 0. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2195768, -2195769, -2195770, -2195771, -2195772?\nAnswer: -2195773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*w + 5*l = -756*w - 9, -3*w + 26 = 5*l for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 19*f**2 + 64*f + 46. Let h be n(22). Suppose -5*j - 1944 = -3*t - h*j, -t + 4*j = -642. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/71 - -217\/1065. Let n(d) = -d**3 - 6*d**2 + d + 8. Let t be n(-6). What is the third smallest value in r, t, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1068\/13 + 82. Which is the nearest to 1? (a) g (b) 4\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0)\/((-8)\/24). Suppose -j = -a - 2. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = s - 39, 1463*s = 1467*s - 122*y - 262 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21c57 (base 13) to base 9\nAnswer: -103223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3565880, -14263422, -32092658, -57053588, -89146212, -128370530?\nAnswer: -174726542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -850 - -658. Calculate the common denominator of 21\/16 and -2 - (-20193)\/530*(-10)\/u.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 1788.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -22*b + 420. Suppose -2477 = b*u - 16*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 2*u. Give i(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -3 + 14 + -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((-10)\/(-6))*1. What is the biggest value in -3\/5, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - o = 13, 23 = 5*p - 4*o - 5. Let t(i) = -i**3 - 18*i**2 - 74*i + 48. Let c be t(-8). Solve c*h + 4*h = p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.97 - 0.47. Let r be (-4)\/8*8\/(-286). Let y = -127\/1144 - r. Which is the nearest to 0? (a) -2\/9 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 80 = -40. Let k be -3*(u\/(-12))\/5. Is (-16 - 3 - -1)\/k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 486*x - 498*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 11, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100100001101 (base 2) to base 9.\nAnswer: -15366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c14 (base 14) in base 16?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -25. Is (-36)\/8*2364\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -381\/5 - -76. Let o = 1054 - 1055. Put o, 2, n in descending order.\nAnswer: 2, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.68 + 26.68. Which is greater: r or 0.21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1609212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60258.53399912 + -60265.534. Let h = -7 - n. What is h rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(182)\/(-1*sqrt(21)\/sqrt(3)))\/((-2*sqrt(22))\/sqrt(11) + 5*(sqrt(2) + sqrt(18) + sqrt(2))).\nAnswer: -sqrt(13)\/23 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3612 - 801. Suppose 0 = -5*z + j - 296. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*a + 16*a - 75*a - 148*a)*(-3 + 1 - 3)*(11 - 9 + 25).\nAnswer: 30510*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -576964343 by -33939079.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7840\/180 + -3 + -41.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 8:15 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883760 a multiple of 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8\/w**(2\/5))**(-40) assuming w is positive.\nAnswer: w**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 7*w**3 + 5*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2803, -2815, -2835, -2863, -2899, -2943?\n\"Answer: -4*d**2 - 2799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 54*n + 54*n - 6 + 57*n - 164*n. Give i(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/21 - (-808)\/14. Let l = x + -27. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.230833125 plus 160?\nAnswer: 159.769166875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + -68.8. Sort 0.2, i, -1 in increasing order.\nAnswer: i, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 881574902 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -100101110 (base 2) to base 11\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -535, -487, -439, -391, -343, -295?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 262 - 226 = 0. Sort n, 0, -75, -2\/5 in increasing order.\nAnswer: -75, n, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 3012.\nAnswer: 18072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/10 and (2\/(-24))\/((-12)\/(-736)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11b - b?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-96))\/((-4)\/(-40) - 2\/(-5))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 38 = 2*t, 0*v = 5*t - 2*v + 95. Suppose 0*k + k + 14 = 0. Let y = k - t. Which is bigger: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {e: 4, t: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2453*j**2 - 9 + 10 + 3025*j**2.\nAnswer: 5478*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 1. Let x be (3\/4)\/(2\/4). Let y be (5 - 26\/22) + 1*-4. Which is the third biggest value? (a) x (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 7. Let s be (-3 - -1) + (2 - -608). Let z be s\/60 + (-4)\/30. Let j be i(z). Let b(d) = -d**3 + 2*d**2 + 2*d - 2. Determine b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23741357 - -32341.08.\nAnswer: -23709015.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 11*r**2 + 2*r + 9. What is s(11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80414142, -160828285, -241242428, -321656571?\nAnswer: -402070714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4\/(b\/b**(1\/8)))\/(b\/(b*b**(-2\/3)))**(1\/19))**(-6) assuming b is positive.\nAnswer: b**(-1409\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*i - 19*i + 3*d + 68, -3*i + 5*i = 17*d + 393 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*q**3 + 13343*q**2 - 5562780*q - 695556 = 0. What is q?\nAnswer: -1\/8, 834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/20)\/(45\/(-12)). Which is the third biggest value? (a) -88 (b) 3\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 1, -3\/7, 3.83, -167?\nAnswer: 3.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(112).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 1, 62, 5, 8 in decreasing order.\nAnswer: 62, 8, 5, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**3 - 11*o**2 + 9*o - 30. Does 79 divide h(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, f: 4, r: 2, w: 2, q: 1}. What is prob of picking 3 f and 1 w?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-4 - (-4 - -1)). Let c(q) = -q**3 + 3*q**2 + 4. Let h be c(3). Differentiate -6*z**h + z**p + 31 - 20 - z**3 wrt z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**3 - 3228*n**2 + 770892*n + 53819808 = 0. What is n?\nAnswer: -56, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d6c (base 14) to base 10.\nAnswer: -2644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*z - 3*z**5 - 319*z**2 + z**5 + 325*z**2 wrt z?\nAnswer: -40*z**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6735820365*y + 6735820365*y - 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**5\/15 + 2064*s**4\/5 + 5914484*s**3\/15 + 538518128*s**2\/5 - 3272634118*s\/15 - 1627426736\/5 = 0.\nAnswer: -1313, -472, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -11. Suppose 0 = t + 4*t + u. Let l be t\/(-5) - (-1001)\/(-5). What is l rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 4) to base 2\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654540.8nm to millimeters.\nAnswer: 0.6545408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22074, -22027, -21948, -21837, -21694?\nAnswer: -21519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 - ((-104)\/56 - 1\/7). Let d(a) = -13*a + u*a - a. Let y(k) = -89*k. What is d(y(x))?\nAnswer: 89*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + (-4)\/(-16))\/(4 - 1). Which is the nearest to 1? (a) j (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.744 + -52.793. Let c = -5 - -31. Let k = o + c. What is k rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -10*h**6 + 1028*h**5\/35 - 86*h**4\/7 - 80*h**3\/21 + 16*h**2\/7 - 10302. What is u in z(u) = 0?\nAnswer: -2\/7, 0, 1\/3, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11201 - -11?\nAnswer: -11130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 6495952.\nAnswer: 6495957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 4*y**2 + y. Let u be f(4). What is the highest common factor of 6 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 210 - 225 = -n, 0 = 3*f - 4*f - 2*n for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/2, 4, -0.5, 6\/3943?\nAnswer: 6\/3943","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9117\/3039*(-41)\/(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -41. Let g be 16\/5 - n\/55. Solve 0*r + 15 = -g*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*u - 18084. Suppose u = 12*h - h. List the prime factors of h\/5 + 9\/(-45).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - d + 19 - 13 = 0, -q = -2*d + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.2 + 15. Let p = -0.9 + q. Let m = -0.1 - p. What is the third biggest value in -2\/13, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, s: 2, b: 4, v: 1, x: 1, t: 1}. Give prob of sequence sv.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -379*f**2 - 22*f - 39. Determine d(-2).\nAnswer: -1511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-32) + (-175)\/860. Are a and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**2 - g**2 + 0*g**2)*(28 + 33 - 26) - 3*g**2 + 0 + 1 + 1 in the form k*g**2 + p + v*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 3:11 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2343?\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from whmswm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*k + 16 + 10, m = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*n = -222. Let f = n - -37. Which is smaller: 3\/29 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31785 and 2457?\nAnswer: 2002455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9112 plus -214?\nAnswer: -9326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 7*a + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113670 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: What is the units digit of 6513494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/9)\/((-1846559)\/(-461637) + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-150)\/48*(-78)\/15 and 69\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u - 93 = 74 - 53 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 4, 5 in decreasing order.\nAnswer: 5, 4, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)*z)**(1\/12))**(3\/11)*z*z**(-5)*z**(2\/7)*(z**(-2\/7)\/z*z)**(1\/52) assuming z is positive.\nAnswer: z**(-11125\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83069 + 8.52.\nAnswer: -83060.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -947, -1903, -2851, -3785, -4699, -5587, -6443, -7261?\nAnswer: -8035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 782796 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - k = 0, 0 = -4*n - 2*k + 7*k + 27. Suppose -4*p = -0*p - 36. Suppose -4*u = 2*h - p - n, 0 = -4*h + u + 51. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 + (-247)\/(-76). Suppose -1488 - 736 = -2*n + y*m, -n + 1117 = m. List the prime factors of n.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8774.15 meters in nanometers?\nAnswer: 8774150000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 58 = 6*t - 6*t - 8*z, 5*t + 16*z + 107 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2054004 + -2?\nAnswer: 2054002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 789*g**2 - 264*g - 9. Does 7 divide j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 < 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 3*u - 1. Calculate s(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*h + 192 = 0, 5*j + 0*j - 309 = -3*h. Let u = 72 - j. What is the second derivative of -u*d**3 - 24*d - 7*d**5 + 6*d**3 + 6*d**3 wrt d?\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2, -0.3, -0.6013 in decreasing order.\nAnswer: 2, -0.3, -1\/3, -0.6013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/5 + h**3\/5 + 6*h**2\/5 - 4*h\/5 - 8\/5.\nAnswer: -(h - 2)**2*(h + 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24961426 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506844?\nAnswer: 2, 449, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*t**6 + 487*t**4 - 1851507*t**2 wrt t?\nAnswer: -11160*t**3 + 11688*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-4\/7)*(b*b**(1\/3)*b)\/b)\/(b\/(b*b\/(b\/(b**0\/b*b))))**(-23) assuming b is positive.\nAnswer: b**(61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 10*j**2 - 12*j - 8. Let m be 1\/(-7) - 4\/(-28) - 11. Let u be s(m). Solve 6*a = -2*p + 4*a - 6, -a - 9 = u*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1427, 2389, 3351?\n\"Answer: 962*k + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzff. Give prob of picking 2 z and 1 f.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.84 + 0.5.\nAnswer: 3.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4189086 + 136?\nAnswer: -4188950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-5 + 0 + sqrt(112) + sqrt(112))**2 - (5 + 0 + sqrt(112))).\nAnswer: -84*sqrt(7) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 53, 5, 2680, -0.1?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10103265 divided by -224517?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(171))\/sqrt(9))**2.\nAnswer: 8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 77, 5, -2, -406\/5, 2.\nAnswer: -406\/5, -2, 2, 5, 27, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.6 + -0.4. Let c = -5.8 - m. Let v = 50 - 148\/3. Is c bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 8) + -9 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11652*a - 17 = 11653*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 2)\/(4\/14*(-22)\/44). Solve 5*y - 4*a = 18, -y - 5*a - 1 = h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.067 and -0.02.\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/4 - 7*b**4\/24 - 13*b**3\/6 - 32*b**2. List the prime factors of z(-4).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9402.429 tonnes to milligrams.\nAnswer: 9402429000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.3 (b) 2\/11 (c) 0.07 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q - 747 = 629. Let l = -61 - -96. Let d = -13 + l. Calculate the remainder when q is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 327*w + 42*w**3 - 41*w**3.\nAnswer: w**3 - 327*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -126 (b) 3 (c) -5.343 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 - 110. Suppose -11 - 22 = -r*w. Let u(b) = b**3 - 3*b**2 + 3*b. Let p be u(2). What is the highest common factor of w and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154771994167 + 154771995242.99999479. Let t = m - 1076. What is t rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 23*r**2 - 12*r - 151. Let v be l(9). What is the highest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*z**4 - z + 2 + 14 + 10*z**2 + 70*z**4 to the form l*z**3 + n*z + r*z**2 + x + f*z**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14256*r + 14582*r = -978. Let s(c) = 4*c**3 + c**2 - 10*c + 7. Let h(t) = t**3 - 3*t + 2. Let v(o) = 7*h(o) - 2*s(o). Determine v(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160054\/3 or -53352?\nAnswer: -53352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.6986 times -139\nAnswer: -97.1054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = 55*k - 80 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l = 33*l - 49. Sort 2, 3, l in increasing order.\nAnswer: l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.7 in 2\/9, 11\/10, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**3\/3 - 2*m**2 + 5*m + 2. Let h(r) = -r + 8. Let i be h(13). Give c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 891, 3822, 8795, 15810?\nAnswer: 24867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24321855 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -5, 588139, 2 in decreasing order.\nAnswer: 588139, 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 11:50 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381503 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwwwwwwhhhhwwwwwwww. What is prob of picking 2 h?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43357 or -43801?\nAnswer: -43357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 0.3, 0.765, 11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.002 - 0.002. Which is the second biggest value? (a) -34 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -169 - -176. Suppose -2*i + 508 = 2*c, c = 2*i + i - 778. Suppose -w*v + i = -5*v. List the prime factors of v.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20844 - 15\/3*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-54) - (-3745740)\/52812.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 7*m**2 + 7*m - 14. Let w be a(-8). Let p be (21\/14)\/(w\/(-80)). Calculate the greatest common factor of p and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-100)\/(-22) - 156\/286. Suppose 0 = -h*t + 5*s + 205, 4*t + 0*t - 217 = s. What is the remainder when 61 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 294\/9 + (16\/(-6) - -2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7 + 4*s**2 - 80*s + 82*s + 1 - s**3. Let n be u(3). Suppose 14*m - 240 = n*m. What is the smallest common multiple of 4 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v + v)*(-1 + 3 - 5) - 54*v - 65 + 65.\nAnswer: -60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -34, 0.255, 0, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 10 = -10*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from syzyyzszszyyzqzyy.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-23 + (-17 - -43) - (0 + -9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83708.8 or 1\/2?\nAnswer: 83708.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 10 + 25. Let j(y) be the first derivative of y**4 - 3*y**2\/2 + 7. Let b(r) = -3*r**3 + 2*r. Determine t*b(l) + 2*j(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7715298109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2955 or -2956?\nAnswer: -2956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -12. Let u = 9 + o. Let y = -1 + u. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4 (c) 0.404\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.48724 years to months.\nAnswer: 65.84688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7524 = -1320*o + 1518*o for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**3 - 21*j**3 - 29*j**2 + 6*j**3 wrt j?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -900064, -1800464, -2700860, -3601252, -4501640, -5402024?\nAnswer: -6302404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -902 - -920. Suppose 5*p + d - 90 = 0, -2*p - 5*d = -15 + 2. Is s less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 312746 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000873912 to six dps.\nAnswer: 0.000874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, u: 3, z: 1, y: 1, h: 5, s: 4}. What is prob of picking 3 x?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-29 - -9) - (-41 - (-2 - -2))) + 0?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(sqrt(162)*-2 + -2 + (1*sqrt(162))**2 + -2 + (6*(-2 + sqrt(162)))**2 + -1).\nAnswer: -6570*sqrt(2) + 30663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)\/o**(-1\/4))\/((o*o*o**(-3)*o)\/(o*o**(3\/5))) assuming o is positive.\nAnswer: o**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(4 + (1 - 0)). Let w = 137 + -162. Which is smaller: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94848 and 912?\nAnswer: 94848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4790295 + -35266.\nAnswer: -4825561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36764 and 23028?\nAnswer: 2095548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 378\/18*(-2)\/(-1)*17\/34\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 8*f**7\/21 + 5*f**4\/12 + 15*f. Find the third derivative of n(v) wrt v.\nAnswer: 960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1636945 less than -1636946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (3 - (1 - (3 + -6))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -161*z**4 + 5*z**2 - 3*z**2 - 173 - 4*z**2 - 62 with respect to z.\nAnswer: -644*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*y + o - 5, -5*o + 14 = -2*y. Suppose 0 = -3*l + 6*l + y. Is l equal to -7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346.9084 micrograms in milligrams?\nAnswer: 0.3469084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 8*x - 174. Let d = x - 48. Let v(u) = -87*u + 3. Let i be v(-4). Calculate the highest common factor of i and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 7*l - 2*l. Solve l*d + 3 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 12812256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yexbfbeweefxwy. What is prob of sequence xy?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:53 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 30501 = 2*a, -a - l = -3*l - 15255. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-49))\/(2\/28)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 + -1402\/11. What is the smallest value in -3, 1, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7408455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793771209?\nAnswer: 3, 7, 11, 29, 127, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -89*t. Is r(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198*((-7200)\/2430)\/(-40)\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286631 divided by -15.\nAnswer: -286631\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 410*u - 386. Let i = -41\/390 - -1\/15. Which is greater: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15\/(c*c**(-1\/15))*(c*(c\/(c**(1\/2)\/c))\/c*c)\/(c*c**(1\/15)) assuming c is positive.\nAnswer: c**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1685982 is divided by 472?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 16*g**2 - 9*g - 5. Let h(w) = 13*w**2 - 8*w - 4. Calculate -5*c(m) + 6*h(m).\nAnswer: -2*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13825 or -13817?\nAnswer: -13825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1607866, -1607863, -1607860?\n\"Answer: 3*o - 1607869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -25. Let i = -30 + 42. Calculate the smallest common multiple of o and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from {o: 1, t: 1, n: 1, u: 2, m: 1, h: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 537, 1066, 1591, 2112?\n\"Answer: -2*h**2 + 535*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(5\/1)\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.6 + 41. Which is the smallest value? (a) t (b) 0.2 (c) 2\/15 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/((-48)\/632732) + -6 + 4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*l + 262*l - 13160 = 40*l - 292*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 71, -3, 22, -5 in ascending order.\nAnswer: -5, -3, 2, 10, 22, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/26 in 16, -1\/8, 662?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**2*q - 2*h**2 - 57*h*q + 3113*q wrt h?\nAnswer: 6*h*q - 4*h - 57*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30190648 plus -1.65?\nAnswer: -30190649.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 11 = 26*z - 309 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 10:39 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, a: 4, h: 2}. What is prob of sequence aaha?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 84.67166079 - -0.4\nAnswer: 85.07166079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 64, -1\/14, -1, -127\/5, 0.2?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4100 - -4106. Solve 9*j - x + 42 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11507443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**3\/3 - 7*l**2\/2 - 3*l. Is p(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2713664 + 546645 - 2310254 = -17*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = 6*f - 17*f - 260 - 595 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -100. Solve -i = -3*m + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d\/(d*d\/(d*d**(-3\/10))))\/d))\/d**(2\/3))\/(d**8\/d**(-3\/8)) assuming d is positive.\nAnswer: d**(-689\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3615*h + 6597*h - 32802 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.09 - 2.91. What is the closest to -1 in -0.1, -3, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(3\/(-16)). Let z(u) = -4*u**3 - u - 3. Let b(n) = 11*n**3 - n**2 + 2*n + 8. Calculate c*z(a) + 3*b(a).\nAnswer: a**3 - 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6186510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 - 14 = 0. Suppose 15*g = 11*g + 8. Suppose 0*c = -4*y - 2*c + 8, -y - p = g*c. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4\/7 + 121*z**3\/7 + 5217*z**2\/7 + 91723*z\/7 + 506530\/7 = 0. What is z?\nAnswer: -37, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1\/4, -23?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(320)*3*-6 - (-2 + sqrt(80) + sqrt(80) + 2 + (sqrt(5) - (sqrt(5) + sqrt(540)\/sqrt(12)))**2).\nAnswer: -45 + 568*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53)\/371)\/((-2)\/(-8)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38448*j**2*q**3 - 2*j**2*q*t**2 + 3*j*q**2*t - 1041*q**3 + 3*q**2*t**2 - 1 wrt j.\nAnswer: 76896*q**3 - 4*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 4*v**2 + 4*v - 2. Suppose 4*g + 4*o - 76 = 0, 5*g - 3*o = -2*o + 71. Let h(n) = -2*n + 36. Let d be h(23). Let t = d + g. Determine p(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41104 is divided by 186?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r - 2*h - 20, -38 = -5*r - 4*h. Let x be (-7 + (-19)\/(-3))\/((-2)\/r). Suppose -549 = -5*t + x*t. What is the remainder when t is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 5\/((-15)\/(-39)) - 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 - (1 - (7 - (6 + -13 + 21)))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/21 + (4125\/(-7))\/3. Let g be (-2)\/(-7) + (-1316)\/u. Solve 2*v - 10 = g*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -5*g - 6*r - 18, 0 = -2*g - r - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 3 + (-7 - -5) - (-2 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 1243678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292 - -329. Find the third derivative of -10*p**3 + 2*p**2 + p**3 - n*p**2 wrt p.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 2*s - 5. Let a = -20 - -17. Let g be l(a). Let p = 35 - g. What is the highest common divisor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/5386113 and -137\/46679646.\nAnswer: 140038938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/133596 and -47\/1080?\nAnswer: 1335960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 166445 >= 166462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3842 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 + -0.13. Let v = 0.3 + i. What is the nearest to v in 0, -4, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238178?\nAnswer: 2, 119089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2307, -4622, -6939, -9258, -11579, -13902, -16227?\n\"Answer: -v**2 - 2312*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 74\/(-112) + -4 + (-330)\/(-77). Let y = -1 + 6. Which is the nearest to -1\/3? (a) y (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(-4024 + 65*v**2 + 5*v**3 + 4024) as x*v**3 + k*v + p*v**2 + h and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 + 7. Let l be h(3). Let j = l - 51. Solve -4*z = j + 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 501715*l*m**2 + 6*l*m + 2*l + 853*m - 1 wrt m.\nAnswer: 1003430*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1979 - 1979. Is a bigger than -20\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17154, 17166, 17178?\n\"Answer: 12*n + 17142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24552 + 264*p**2 + 25*p**2 + 24552 - 77*p**5 wrt p?\nAnswer: -4620*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 31*t = -27*t + 4, 0 = 4*r - t + 20. Let a(b) = b**3 + 5*b**2 + 5*b + 7. Give a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3894767*m**3 - 3401809*m wrt m.\nAnswer: -23368602*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15019.355*-0.3\nAnswer: -4505.8065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -18.38. Let q = 0.6 - u. Let f = q - 0.62. What is the nearest to 2\/9 in 2, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023262426 rounded to five dps?\nAnswer: 0.02326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and -33978.\nAnswer: 815472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1040 - -2?\nAnswer: -1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6.6 * 8\nAnswer: -52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/5 - 14091989*p\/5 - 2818398 = 0 for p.\nAnswer: -1, 14091990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 19*z + 38. Let a(b) = 14*b + 37. What is 3*a(h) - 2*t(h)?\nAnswer: 4*h + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 + 36 - (-11 + 15)) + 20 + -2 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l = 0. Suppose 2*i + 2 = l, 3*i + 46 - 18 = 5*p. Suppose -p*u + 228 = -47. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 23907*m + 4948788. Give i(-207).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 3*p**2 - 3*p - 5. Let s be i(-3). Let d be 30\/63 - s\/28. Which is the closest to -2? (a) -5\/2 (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let r be l(-5). What is the second derivative of -4 - r*j**2 + 13*j**2 - 11*j - 1 + 15*j wrt j?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 10 - 0. Which is the fourth smallest value? (a) -1\/2 (b) 0 (c) r (d) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-25) - 322\/140?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101102222020 (base 3) in base 7?\nAnswer: 1514202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 7 + 0 - (8 - 4). Solve -2\/7*o**h + 0 - 12\/7*o**2 - 18\/7*o = 0 for o.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = d + d - 3139994, 3*d - 4710015 = -5*p. Round d to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*t**4\/2 - 441*t**3 + 1887*t**2\/2 - 586*t + 78 = 0. Calculate t.\nAnswer: 2\/11, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160454 and 70?\nAnswer: 802270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 791990719.2 and 1.3.\nAnswer: 791990720.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*h + 3190, 5*h - 3*s - 2*s = 3155. Suppose -2*j + 6*j = h. Calculate the highest common divisor of j and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 4*j + (j + 0*j + j + 1)*(-4 + 1 + 4).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000091784325 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/39610863 and 61\/78393.\nAnswer: 277276041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 6*i - 15. Suppose q - 16 = -4. Does 11 divide f(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 43, 123, 275, 523?\n\"Answer: 4*k**3 + 4*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 1782 = 34*r. Let g be 70\/(-84) - r\/(-36). Which is the closest to 1? (a) g (b) 2\/21 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.95 + 6. Let b = f + -0.0497. What is b rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12026 (base 7) to base 3\nAnswer: 11021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 0*o**2 - 14*o**3 - o**2 + 3*o**2 + 100.\nAnswer: -14*o**3 + 3*o**2 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -3*z + 385. Let c = z - -38. Suppose p = -2*d + 80, c*d - 79 = p + 41. Calculate the remainder when 79 is divided by d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784 = 2*t - 5*t + 5*i, -5*t = -2*i + 1332. Let c = 162 - t. Let q = 265 + c. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbn when three letters picked without replacement from {a: 2, n: 2, v: 1, r: 4, b: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52251276 and 20510?\nAnswer: 4102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x. Let g(h) = -86*h**2. Determine y(g(n)).\nAnswer: 344*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 3*u + 89 = 73, 3*z + 4*u - 15 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {g: 1, s: 2, v: 4, b: 1, k: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*r + 46*r + 19*r)*(2 + 0 + 0)*(r**3 - 2*r**2 - 2*r**2 + 3*r**2) in the form x + l*r**3 + c*r**2 + q*r**4 + k*r and give q.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5498.49 to the nearest one hundred.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 11*x**2 - 21*x + 25. Let g be w(9). Put 4, -5, g in descending order.\nAnswer: 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0. Let u = 24 + -29. Suppose 0 = 2*n - 3*n - 1. Which is the closest to n? (a) -2 (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-18)\/(3780\/(-1522)) - -2 - 2\/(-3)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - (-2 + 0)) + 4932\/(-18). Let l = 286 + r. Let q = 4 + -1. Solve -l = 3*s - 4*a, q*s + 4*a - 6 = a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1883 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (53 - 56 - (1 + 13))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10480965 and 210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (109 - 115)\/(-2 + 39\/6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 3*a**7\/245 - 43*a**6\/140 + 16*a**5\/21 - 13*a**4\/21 + 4047*a**2. Factor f(z).\nAnswer: 2*z*(z - 13)*(3*z - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2319178kg?\nAnswer: 231917.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134647 + -3366173\/25. Suppose -v = v + 2*d, 16 = 5*v + d. Which is the closest to 15? (a) v (b) l (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 + -69. Let g = -62.9 + s. Round g to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - 1*-2)\/(-1). Let a(i) = i**2 - 5*i + 4. Let v be a(t). Suppose 0 = v*s - 5 - 3. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9 + d + d - d. Let z be 1\/(-2) - (-18)\/(-4). What is the least common multiple of j(z) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + r**2 - 4. Let b be c(0). Let m(i) = 5*i + 2. Let d(q) = 280*q - 600*q - 1 + 317*q. What is b*m(a) - 7*d(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 26*r. Let m be 49\/(-126) + (-1)\/6. Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:55 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 14250?\nAnswer: -14254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 267 = -282 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*v**3 + 187*v**3 - 751*v**3 + 184*v**3 + 186*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 5 (c) 3 (d) -13 (e) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -11*b**4 + 4*b**3 - 4*b**2 + 4*b - 29. Let q = 0 + -1. Let x(f) = -f**3 + f**2 - f - 1. Let a(d) = q*p(d) - 4*x(d). Differentiate a(r) wrt r.\nAnswer: 44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.8 + 27.9. Is j smaller than -505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 5 - -2) + 1 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 288.9+-27356\nAnswer: -27067.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31303814 and 2.\nAnswer: 31303814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187 - 181. Let z be ((-2)\/3)\/(6\/54). Let v = z + 12. Are v and k unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(8 + (-45)\/5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -192*s + 33. Let o(b) = -b - 2. Let q(a) = -8*a - 20. Let i(u) = 10*o(u) - q(u). What is w(i(j))?\nAnswer: 384*j + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4.4, 0.5, 0.3, -0.04, -18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -p - 5, -5 = -2*f - 872*p + 869*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvd when three letters picked without replacement from vvvdvvvd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(4 + ((sqrt(304) + sqrt(304) + sqrt(304)*2)*4 - (sqrt(304) + (sqrt(304) - 3*-2*sqrt(304))**2 - sqrt(304)))) + -4.\nAnswer: -64*sqrt(19) + 14890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 80 = 10*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -376889369036 - 0.\nAnswer: -376889369036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 10*i + 8. Give k(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1)*w))**(-1\/10)*w*w**(-8)\/w*w*w*w*w\/w**(2\/3) assuming w is positive.\nAnswer: w**(-143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 4*o + 3. Let n(r) be the third derivative of r**5\/15 + 7*r**4\/24 + 5*r**3\/6 - 7*r**2. What is -4*n(q) + 7*p(q)?\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/25 and -29\/265.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**8\/2880 + a**6\/720 - a**5\/12 - a**2. Let l(j) be the third derivative of x(j). List the prime factors of l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/42 (b) -5 (c) 2852 (d) 1 (e) 2 (f) -4 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnnpynpnrppppxen. What is prob of sequence en?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:36 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122120000101211 (base 3) to base 7.\nAnswer: -142206160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2. Let o = -21 - -13. Let r be ((-2)\/o)\/((-3)\/(-4)). Which is the nearest to -1? (a) -3\/4 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148 - -1332. Suppose -4*k - 2*z + c = 0, -k - 2*k = 2*z - 889. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Put k, 0, -1 in decreasing order.\nAnswer: k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -5, -4, 57 in decreasing order.\nAnswer: 57, -1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288491 = 2*h + 3*k, 5*k = 3 + 2. Suppose w + 28838 = -4*y, -5*w = 13*y - 11*y + h. Round w to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12913, -12914, -12927, -12964, -13037, -13158, -13339, -13592?\n\"Answer: -2*o**3 + 6*o**2 - 5*o - 12912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Let z = -42.7241262 + 38.724156. Let u = z + k. Round u to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 1023330658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 114895 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -42. Suppose 2 = 2*u, 2*i - y = -3*i - 2*u. Suppose a = -0*a + i, 4*a = 5*j - 9. Calculate the remainder when j is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17986.2 rounded to the nearest one hundred?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1642294.8 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -368, -844, -1320, -1796?\n\"Answer: -476*i + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from {x: 7, g: 1, r: 1, k: 4, t: 4, q: 2}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 6536, 17 in ascending order.\nAnswer: -9, 17, 6536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, 5, 2\/7, 0.11, 0.3, -1, -250?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2aa0 (base 11) to base 8\nAnswer: -7616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97727540 to the nearest integer?\nAnswer: 9886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((3224\/(-527))\/26).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -28?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 4830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 265482977 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 87, 5, 0, 7, -3.\nAnswer: -3, 0, 5, 7, 12, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtxttxxt. Give prob of picking 1 m and 1 x.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(24 + -34)*-1*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/41870 and 121\/7110.\nAnswer: 376830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 688.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -42737, -85499, -128261?\n\"Answer: -42762*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2. Let i(o) = 809985*o. Determine n(i(d)).\nAnswer: 656075700225*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 14. Let c be 6\/(-3)*(v - -1). Calculate the greatest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6751*p - 20246. Give k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2024, 4053, 6094, 8153, 10236, 12349?\nAnswer: 14498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 - 4 = -2*b, -2*b = 3*c + 3. Let w = -3 + 2. Let o be 3\/6*(-6)\/w. Solve b = 2*h + o*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, v: 5, q: 2, w: 1}. What is prob of sequence vvq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2789 - -1459. Round c to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.615042mm in micrometers?\nAnswer: 1615.042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flandldnlavnnf. What is prob of picking 1 d and 1 l?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 7*j**2 - 17*j + 12. Let b be s(9). Let a(z) = 31*z - 51*z + b*z. Give a(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3012767 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20, -27, -154, -403, -816?\n\"Answer: -7*q**3 + 2*q**2 - 4*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-144)\/(-294)) + -16.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 13*k + 28. What is d(-11)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**3\/33 + 431*g**2\/22 + 78*g - 6344. Solve l(k) = 0.\nAnswer: -429, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*f + 2*f**3 + 33*f + 726 - 726.\nAnswer: 2*f**3 - 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26900389 and 2307?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/2074 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10*h + 6*h - 3*h - 4. Let s(a) = 6*a + 9. Let t(q) = -8*q + 6*q + 3*q + 1. Let w(n) = s(n) - 12*t(n). What is 5*u(b) - 6*w(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 114257 to the nearest 1000.\nAnswer: 114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 2:07 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/11 (b) 5 (c) -3\/5 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 12 = 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**5\/60 - y**3\/3 + 3*y. Let p(k) be the second derivative of x(k). Let z(l) = 3*l**2. Calculate z(p(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v. Let a(o) = 2*o - 8. Let p(m) = 7*m + 210. Let k(q) = 4*a(q) - p(q). Give z(k(j)).\nAnswer: -3*j + 726","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -9. Let n(m) = m**2 + m - 1. Let v be n(2). Suppose b*w = v*w - 50. Solve 2*f + 10 = 4*k, 2*k - w = -f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 5502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*a**3 + 37*a**3 + 48*a**3 - 169*a**3 + 37*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:34 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.49930113 rounded to one dp?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -6 - (13 + (-184 - -4) - -33).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 + 373*l - 1619. Determine i(70).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 11*u + 20. Let d be f(12). Let l(o) = o**2 - o - 1. Let n(r) = -10*r**2 + 6*r + 10. Give d*l(s) + n(s).\nAnswer: -2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037440823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 46454*t + 1021504.\nAnswer: (t + 22)*(t + 46432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 16 + 4. Let s = -6 - o. Solve -3*w + 5*w = s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 42. Let q(n) = -4*n - 125. Calculate -7*l(r) + 2*q(r).\nAnswer: -r + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/330*1\/(-10).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 + (26 - -15) + 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -414, -2, 13 in decreasing order.\nAnswer: 13, -2, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*4\/40.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1953 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119427 - 119463 = 2*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-14) + (-1755)\/(-63). Suppose -14 - n = -6*z. Let x = 16 + -1. What is the remainder when x is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 83962*u\/11 - 12716016\/11.\nAnswer: -2*(u - 41829)*(u - 152)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3))**(-43)*(r*r**0)**(-20))**(-48) assuming r is positive.\nAnswer: r**(-5232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, c: 2, x: 4, e: 2}. Give prob of picking 2 e and 1 x.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -350.1 - -350. Let t = -0.48 - -0.14. Let b = t + -0.06. What is the nearest to k in 1\/7, b, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11023?\nAnswer: 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 4:05 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/5)\/s)\/((s\/s**(-2))\/s)*s*s**2*s*s*s**(1\/3)*s*s assuming s is positive.\nAnswer: s**(86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.033 * -15.\nAnswer: 0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (34 - 35)\/(-2*(-2)\/(-20)). Suppose -b*u + 959 = -521. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4 + 8. Let k = 11 + w. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830583 is divided by 75507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 20*c + 30. Suppose -429 = -3*r - 10*r. Calculate the remainder when p(5) is divided by r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*s + 24*s + 44*s - 6*s - 2520 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 375067.7 decades?\nAnswer: 37506.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + -4 - (3 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 2*q**4 - q)*(278 + 6 + 125) in the form f*q**2 + g*q**4 + p*q**3 + w + v*q and give g.\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-84) + (-570)\/(-7). Let q = t + -73. Solve -v = 2*v - q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2\/5*w**5 + 0 + 2\/5*w**4 + 2\/5*w**3 + 0*w - 2\/5*w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180a63 (base 12) in base 10?\nAnswer: -416235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**4 + u**4 + u**4 + (2*u - 2*u - u)*(103*u**3 - 165*u**3 + 127*u**3) to the form w*u**4 + x + h*u**2 + n*u + l*u**3 and give w.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*(68\/20 + -4). Suppose -q - 3*s = -518, -h*q + 3*s = -3*q - 1566. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54976 + 2?\nAnswer: -54974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 66 - 55 + 4*s - 80 + 2*s. Determine p(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**3 + t**2\/2 - t - 19. Let s be c(1). What is the units digit of ((-16)\/5)\/(((-12)\/(-20))\/s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*10\/(-4) + 1 + 0. Suppose i = -3*f + 6, 7*i - 3*i + 3*f - d = 0. Suppose i*o - 12 = -2*o. Solve 2*c = o*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196208?\nAnswer: 2, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -351?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 - -116. Sort 5, 2, i.\nAnswer: 2, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 333856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 148038211713\nAnswer: 148038211712.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 28\/115?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 13280.03?\nAnswer: -13280.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q + 8. Calculate l(11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/7 - 844*a\/7.\nAnswer: -4*a*(a + 211)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 106.42 and -5.\nAnswer: 101.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/105 - 29*i**4\/21 + 80*i**3\/7 + 2*i**2 - 167*i. Factor x(b).\nAnswer: -4*(b - 2)*(b + 60)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.4719729 rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let c(j) be the second derivative of 2*j - 5\/6*j**3 + 0*j**2 + 11 + 1\/4*j**4. Calculate -4*a(b) - c(b).\nAnswer: -3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 80*d - 253. Is 11 a factor of f(51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h - h)*((1 - 1 - 2*h)*(-h**2 + h**2 - h**3) + (-158 + 20*h + 158)*(-2 - 2*h**3 + 2)).\nAnswer: 76*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 843421586?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + 10)\/(28\/(-10)). Let i = 729\/28 + z. What is the common denominator of 0 - 109\/(-10) - 0 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 31529 = -5*j - 23394, 2*j = -2*l + 36578. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 14. Let h be (-4)\/v - 342\/88. Let m = -542\/143 - h. Which is the closest to 2\/7? (a) 5 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -51. Solve k = -h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*d**2*p + 2546802*d**2 - 294410*d*p - 69*p wrt d?\nAnswer: 92*p + 5093604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((4 - 16) + 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 480*g**2 + 87*g - 147. Determine z(2).\nAnswer: 1947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42373979 to the nearest integer?\nAnswer: 6510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*z + 46*z - 1 + 52*z - 16 - 142*z.\nAnswer: 5*z - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 8. Suppose 0 = g + 4*g. Suppose g*z = -z - 2*t - 8, 3*z = -5*t - 23. Calculate y(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 454, 657, 838, 991, 1110?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/14)\/(4\/3). Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145044 by -9.\nAnswer: 16116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -542.7 - -543. What is the fourth smallest value in q, -0.2, -2\/5, -10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110102 (base 3) in base 10?\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111217595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -187ac (base 13) in base 15?\nAnswer: -e0e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 558 divided by 9\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/933 and 18\/14617.\nAnswer: 43851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332230213 - 1?\nAnswer: -332230220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2228317?\nAnswer: 7, 13, 47, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:00 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 19*h**2 + 36*h + 39. Let u be q(-17). Let l be (70\/(-4) + u)*-8. Calculate the highest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = k - 5, -6*u + 73*k - 74*k + 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000036875676 rounded to 7 dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -1 - 1. Let q(s) = -2*s**3 - s**2 - 3*s + 4. Let l be q(0). Sort p, l, -3 in ascending order.\nAnswer: -3, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, -546, -1434, -2626, -4092, -5802, -7726?\n\"Answer: 5*x**3 - 197*x**2 + 2*x + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52064, 208278, 468646, 833174, 1301868, 1874734, 2551778, 3333006?\n\"Answer: t**3 + 52071*t**2 - 6*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4772, -0.3, 0.5, -0.2, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 5. Let r be 61\/4 - v\/(-4). Suppose -5 = g - r. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670430 less than 670429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -18.94. Let z = r - -0.1. Is 0.1 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.22 + -307.22. Let w = 303.757 + j. What is w rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17879 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3\/2 (b) -7 (c) -11.6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1923826.68 seconds?\nAnswer: 22.2665125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/44 - -4\/11. What is the nearest to -1\/4 in 1, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 217474530 and 8612.\nAnswer: 434949060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 7. Let o be f(5). Let h = o - -3. Let t(r) = 2*r + 4. What is the units digit of t(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 20*f - 4. Let t(p) = 20*p - 5. Determine 3*t(h) - 4*u(h).\nAnswer: -20*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 3*o**2 + 13*o - 10. Let f be j(-10). Suppose -5*l - f = -2025. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**2*v - 2*n**2 + 3392348*n*v**2 + 100180689*n wrt v.\nAnswer: -n**2 + 6784696*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 10. Let s be 2\/(-2)*(-72)\/x. Let u(i) be the second derivative of -i**4\/12 - i**3 + i**2 - i. Determine u(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30199.93158 rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + r = -3*r + 65200, -97806 = -3*p - 3*r. Suppose 4*w - 26123 = -256539. Let y = w + p. What is y rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -1. Let h = 4 - k. Is 0 + h\/((-2)\/112) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Suppose -11*u - 57 = -30*u. Suppose r = -0*r + t + 8, y*r + u*t = 46. Solve -r + 26 = j + 5*k, 12 = 4*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 f, and 1 p when three letters picked without replacement from xpfxxqtpnpxt.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + b + 44, 2*b + 36 = 5*o - 2. Let v be ((-168)\/(-10))\/((-4)\/(-50)). What is the highest common divisor of o and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17356, -68542, -153532, -272326, -424924, -611326?\n\"Answer: -16902*i**2 - 480*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6380554?\nAnswer: 2, 541, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 15*u - 110 = 5*l, -5*l - 3*u = 5243 - 5205 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5 = 0, -4*g - 4*d = -143 - 17. Suppose -c - 6 = -g. Suppose 0 = -3*y - 0*y + c. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*s + 11738 - 5898 = 0 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4 - 9342*t. Let g(z) = 1 - 1 - 8*z**2. Give 7*g(q) + 5*n(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00092979328 to 6 dps.\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23682 is divided by 1578.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 122 + 2*v + 0*v**4 + 0*v**2 - 221\/42*v**7 + 0*v**6 + 0*v**5 + 92\/3*v**3. What is the second derivative of x(t) wrt t?\nAnswer: -4420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63953 + 63953 + p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1584?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 - 1071433?\nAnswer: -1071409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28461*j - 28474*j + 4 + 11 to the form m + f*j and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 51 + 31 = w + 2*p, -3*p - 7 + 22 = 0 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(-96018 + 96018 - 1952*w**2) + 0*w + w**2 + 0*w to y + p*w + o*w**2 and give o.\nAnswer: 3905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + 1. Let d be z(5). Suppose 15 = 4*x - d. Suppose y - x = -2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -18 - 2. What is the units digit of 27 - (-8 - v) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b + 6. Let s(m) = -80*m - 55. Let y(v) = -55*l(v) - 6*s(v). Let p(g) = -2*g**2. Calculate p(y(j)).\nAnswer: -450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42611 = -593*i - 708*i + 19837 for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -59646 divided by 6\nAnswer: -9941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, h: 14}. What is prob of sequence hhh?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 + 0.8. Which is the third smallest value? (a) -1\/7 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 8*p**2 - 10*p - 9. Calculate h(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/2240 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12 + 217*(-9)\/(-378).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141\/14 + 12\/(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(132)\/sqrt(108)) + (sqrt(16)\/(sqrt(16)\/sqrt(2)) + 2*sqrt(288))**2.\nAnswer: 3*sqrt(2) + 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*g - 15, n + n - 4*g - 20 = 0. Suppose 4*q - 2*o = 234, n = -5*o + 2*o + 3. Suppose 5*p = 3*y + 410, 6*y - q = -p + 2*y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:58 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 60 = 3*l. Suppose -3*h - 5 = k, -3*h - l = -2*k + 5. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/4 + 9*f - 144 = 0. Calculate f.\nAnswer: -48, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -742237090 by 21206774.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (0 + 0)\/(-1). Let y be ((-4)\/210*-7)\/((-2)\/(-18)). Is y at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**2\/2 + 5*q + 4. Let h be x(5). Solve a + 2*c = 5*a + 10, h = -2*a + 5*c - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, -32, -172, -458, -938?\n\"Answer: -8*v**3 - v**2 + 17*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 43400?\nAnswer: 43342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 h when three letters picked without replacement from {c: 2, i: 1, f: 5, l: 2, h: 2, m: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.103810615 to five decimal places.\nAnswer: 0.10381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 25 = -3*u. Suppose u*f = -c + 8448697, -5*c + 0*f - 4*f + 42243380 = 0. Suppose 0 = 4*p + 1648672 - c. Round p to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17497\/8 + 2190. Find the common denominator of q and 7\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 26790709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 2. Let r be s(-2). Let z(j) = 0*j - 3*j + r*j. Let q(a) = -a. Determine z(q(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1051037, -1051038, -1051039, -1051040, -1051041?\nAnswer: -1051042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - j**2 + 0*j**2 - 4*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m - 3*n - 32 = 0, 3*n = 2*m - 16. Is (-4)\/m + (-3429)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 1, 197, -16, 56, 0 in ascending order.\nAnswer: -16, -5, -2, 0, 1, 56, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 8*t - 1. Let r be k(6). Suppose -5*m + p = -20, 5*p = -2*m + 7*p. Solve 19 = m*g - w - 3*w, 4*w - r = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/10*-4*(-25)\/90. Suppose 0*g + 9 = 3*g. What is the nearest to t in -1\/10, g, -1\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*w - w + 25, -2*j + 3*w = -15. Suppose -4*t = n - 1, -4*t - 3 = -n + j. Let z be 51\/(-45) - t - (-152)\/15. Solve 0 = 5*y + 10 + z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (6 - (6 - 4)) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*m - 0*m - 2712, 538 = x + 4*m. Let s = x + -320. List the prime factors of s.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhrwhhhr. Give prob of picking 1 r and 2 h.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {m: 1, g: 4, s: 4, r: 2, e: 9}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdxxxdd. What is prob of sequence xdx?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8590 = 3*t + 1129, 0 = 3*t - 5*y - 7431. What are the prime factors of t?\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 24 = -15*y. What is the first derivative of 11 - a**2 + 30*a**y - 2 + 14 - 6 wrt a?\nAnswer: 120*a**3 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*r**2 - 2*r**2 + r**3)*(-13*r - 47*r + 14*r).\nAnswer: -46*r**4 + 92*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/((-24)\/(-45)))\/(-4). Which is the closest to 2? (a) f (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 206 - 214.7. Let y = -24.1 + 20. Let g = y + z. What is g rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f + 8. Suppose -q + 12 = q. Let u = 10 - q. Solve -5*b - 17 = -0*b + 2*w, -2 = f*b - u*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 233, 3, 5, -2, 1, 129 in increasing order.\nAnswer: -2, 0, 1, 3, 5, 129, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*a + 82 = 22, 4*x = -3*a + 80. Let o = 23 - x. Calculate the highest common divisor of o and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 61831\/396 - 1\/(-3). Let l = 601\/4 - a. What is the common denominator of l and -19\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108124\/1051 at least as big as -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 709.7 + -710. Put -4, 40\/11, -0.4, g in descending order.\nAnswer: 40\/11, g, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -545 - -635. What is the remainder when q is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in hours?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(36)\/((sqrt(9) - sqrt(324))*-1))\/(sqrt(14)\/(sqrt(7)*2) + -3*-2*sqrt(2)).\nAnswer: 4*sqrt(2)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((((i**6\/i)\/i*i)\/i)\/i*i)*i**(2\/7)*i)\/((i**(6\/7)\/i)\/i**(-4\/11)) assuming i is positive.\nAnswer: i**(-149\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/60 - m**4\/18 - m**3\/18 - m**2 - 4*m. Let k(x) be the first derivative of a(x). Let k(h) = 0. What is h?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 0*u**2 + 0 - 11\/6*u**3 + 0*u**4 - 17\/20*u**5 - u. What is the second derivative of x(r) wrt r?\nAnswer: -102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*y - 147, -5*u + 3*y = 4*y + 735. Let m = u - -192. What is the smallest common multiple of 24 and m?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -546100 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-68)*120\/(-5910) and 37\/51?\nAnswer: 10047","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3677454249?\nAnswer: 3, 7, 149, 509, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 35*p + 22. Let b be o(28). Let h = b - -3151. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 h when three letters picked without replacement from hahff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 28*f. Let m(h) = 87*h - 88*h - 3 + 3. What is r(m(o))?\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n - 5*i + 44 = 0, 0 = -4*n - 5*i - 88. Let q = 24 + n. Solve 2*m = q - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-8)*4)\/((7 - 51\/7)*1)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 10 - 27)*(2 - 2 - 2*j) + (1 - 3 + 7)*(0 + 1 - j - 3) as d + h*j and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*b + 80 = 0, -2*m - 5*b = -0*m + 32. Let d be (-2)\/8 - (-339)\/12. Let t = d + m. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5187558.\nAnswer: 2, 3, 23, 37591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(1*sqrt(833) + sqrt(833)) + (1 + sqrt(17) + 5 - 2*sqrt(272)))*-6)**2.\nAnswer: 9072*sqrt(17) + 271188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -22.7, 3, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 + 5*b + 7. Let n(l) = -3*l**2 - 9*l - 13. Let k(r) = 2*r**2 + 9*r + 13. Let m(c) = 7*k(c) + 6*n(c). Calculate 11*j(p) - 6*m(p).\nAnswer: 2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 0 + 1\/60*t**6 + 0*t**4 + 0*t**3 - 4*t**2 - 1\/30*t**5 + 0*t. Let z(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -z + 16 - 4, 2*z + 4*s - 12 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 7*r**2 + 4*r + 25. Let g be q(8). Which is the closest to -0.4? (a) g (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*w**3 + w - 84*w**3 - w.\nAnswer: -115*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w**3 - 9*w**2 - 11*w - 11. Let v(h) = 4 + 3*h**3 + 4*h + 0*h + 3*h**2 + 0*h. Determine 4*d(u) + 11*v(u).\nAnswer: u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (-35 + -22) - -12\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/4 - 497*z**4 - 19967*z**3\/4 - 13017*z**2\/2 + 29979*z - 17982 = 0. Calculate z.\nAnswer: -6, 1, 1998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 3. Let q be h\/3 + (-104)\/(-24). Suppose 3*u = -2*u + 10. Solve -3*o + 7 = -r, q*o - r - 7 - u = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/9)\/(5\/(-3)). Let p(v) = v - 5. Let z be p(8). Suppose r = -z*r - 4. Is a greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*v**2 - 851*v + 851*v.\nAnswer: 233*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 d, and 1 g when four letters picked without replacement from rtgdtgdrttrtaryytygy?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 240495 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 7*r - 1. Let t be g(7). Let s = t - -3. Suppose s*n - 13 - 23 = 0. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 1\/6 (c) -0.041 (d) -3 (e) -5 (f) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 491 and 262.\nAnswer: 128642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0101 - 6.9899. Which is the third smallest value? (a) 5\/8 (b) f (c) 1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133864 is divided by 3608.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*n + 26 = -3*v, 3*v - 5*n + 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k + 2. Let d(u) be the second derivative of 93749*u**5\/20 - u**4\/12 + u**3\/3 - 3*u. Let o be d(k). Round o to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 6*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116103.\nAnswer: 3, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191 - -23. Let q = x + 257. Let b = q - 53. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 2*u**2. Let b(p) = -5*p**3 - 11*p**2. Let y be 1\/(8\/(-12) + 1). Suppose y*d + 15 - 21 = 0. Give d*b(q) + 11*m(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -2.34056336\nAnswer: -4.68112672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1 - (0 - 3). Suppose -f + 35 = u*r - r, -2*r = -3*f - 27. Suppose 3*z + r = 2*x + z, -z = -3*x + 10. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -845, -1946, -3487, -5468, -7889?\nAnswer: -10750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 47*f**5\/60 - 29*f**2 - 3*f + 2. Let p(z) = -201*z. Calculate g(p(i)).\nAnswer: 1898847*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-6))\/((-1)\/1). Let r = 3 - u. Suppose f = -0*f + 5. Calculate the least common multiple of f and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153824)\/11040*108\/198.\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 22*d**2. Suppose 21 - 102 - 185 = -38*y. Let w(o) = 21*o**2. Give y*z(s) - 6*w(s).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 598 = 31*p + 12*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 75950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*a - 127*a + 257*a + 18)*(a - 2 + 2)*(-2*a + 0*a + 4*a) + 2*a**3 - 3*a**3 + 0*a**3 + (-5*a**3 + 0*a**3 + 3*a**3)*(-2 + 3 - 3).\nAnswer: 7*a**3 + 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 + 2976*z**3 + 1107070*z**2 - 2976*z - 1107072.\nAnswer: 2*(z - 1)*(z + 1)*(z + 744)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**3\/3 + 31*k + 2. Let h(b) = -b**2 - 10*b + 1. Let l be h(-9). Let r(n) = l*n + n - n. What is r(f(i))?\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 3. Suppose -3*v - 5 + 29 = -4*n, -2*v = 2*n - 2. Let j be -3*v\/(-12)*1. Which is the closest to 1\/3? (a) -3 (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 112*w**2 + 574*w + 1231. Determine c(117).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(1700)*1 + sqrt(1700)) - (2*-1*sqrt(1700) + 4))**2 + 0.\nAnswer: -160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h. Suppose -14*z + 21 = 7. Let p(u) = u**2 + 3*u. Determine z*b(n) + p(n).\nAnswer: n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 + -128. What is the second derivative of -n*k**4 + k**4 + 144*k - 150*k wrt k?\nAnswer: -372*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 - u**2 + 2483*u + 2481. What is b(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4039 - 4039 - 925*b)*(-4*b**3 + 3*b**3 + 0*b**3) as w*b + o*b**3 + m*b**2 + d + u*b**4 and give u.\nAnswer: 925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 1. Let s(z) be the first derivative of -4*z**2 - 16*z + 39. Let q(f) = s(f) + 12*u(f). Let l be q(8). Solve 0 = -x + 9 - l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5 times -0.3?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:49 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*sqrt(5) + -4.\nAnswer: -9 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u. Let p be v(10). Suppose 3*t - 48 = 2*s - 5*s, p = t + 2*s. Suppose -12 = -3*x, 0 = -3*i + 4*x - 5 + 22. Which is smaller: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -580 by 10.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1363.5 - 1296.29. Let j = 70.7 - w. Round j to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91.4 + 98. Let m = -8.6 + q. Let f = 65\/4 + -16. Which is the third smallest value? (a) m (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1086 and 336298.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*q = 31, 3*n - 4*q = -11 - 1. Let g = n + 10. Solve 4 = -g*f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 10:20 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Let k(z) = 2*z**2 - z**2 + s*z**2. Let j(r) = -107 + 2*r + 107. Determine k(j(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39\/5 - -21421\/2745. Let n = 2737\/2196 + k. Which is the nearest to 1? (a) n (b) 1\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 4, 0, 12, -50, 5.\nAnswer: -50, 0, 4, 5, 12, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 239*k - 5. Let r(d) = 2*d + 16. Let v be r(-7). Is x(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, n: 14}. Give prob of picking 2 n.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -78, -229, -512, -969, -1642?\nAnswer: -2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b + 770 - 770.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -9. Let k = j - 3. Solve 0 = i + 6 - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16\/7811, 2 in decreasing order.\nAnswer: 2, 1, -16\/7811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3600 and 8606100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5050, 9805, 14558, 19309, 24058, 28805?\nAnswer: 33550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 - 5*o**2 - 35*o + 128. Is 5 a factor of m(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -598 or -597?\nAnswer: -597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**2 + 159*u - 488?\nAnswer: 2*u + 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -4 + 20 + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43768518 divided by 57439?\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.55411554 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7256*i = -8943*i - 18277*i - 878416 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - -38 - (-7 - 1) - 2 - 17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 7:24 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101166235.\nAnswer: 5, 13, 3191, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 38 = -7*p, -12*p - a + 2*a + 2 = -61 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-10 + 20) - (16 - -31)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o = 2*g - 103, -2*g + 3*o = -105. Let b = -23 + g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*2*(-3)\/(-12). Suppose -10 = -q*u - 2*i, 3*u + 4 = 5*u + 5*i. Solve 0 = -u*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/5)\/((-12)\/8). Is k greater than 9\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -17\/20*q**5 + 10*q + 0*q**4 + 0*q**3 + 0 + 9*q**2. Find the first derivative of w(y) wrt y.\nAnswer: -51*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 4:15 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/(((o**(-11)\/o)\/o)\/o))\/o)\/(o*o**(-5)))\/(o*((o*o\/(o*o**(-5))*o*o)\/o)\/o*o)**26 assuming o is positive.\nAnswer: o**(-188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 153 = -5*t - 302, 3*x - 4*t = 1354. Suppose -2*h = 4*h - x. Let a(n) = -8*n + 2. Let i be a(-6). Calculate the greatest common factor of i and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 3308080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + 2*i - 2*i + 3*i**2 + i**2 - 2*i**2 + (-i + 4*i - 4*i)*(5*i - 3*i + 3*i) + 3*i - 3*i - 2*i**2 in the form z + y*i**2 + o*i and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 1, w: 1, i: 9}. Give prob of picking 1 w and 1 i.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 346595.12 and -1?\nAnswer: 346596.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16527569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 15*p**2 - 11*p + 11. Let g(r) = 4*r**2 - 3*r + 3. Suppose -11 - 33 = 2*d. Let n(z) = d*g(z) + 6*o(z). Let b(v) = -3*v. Determine b(n(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -1) + 6 + (42 - 38)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:41 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -545 - -544.5. What is the nearest to -2 in -1\/4, m, 3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -27. Is 2\/(-4)*(-1814 - s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*i = 29858, 3*b - 17952 = -0*b + 5*i. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-54))\/(16\/6)*2144\/(-1206)*3\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 27 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 26, 61, 140, 281, 502?\n\"Answer: 3*g**3 - 5*g**2 + 3*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Suppose 0 = -4*f + u*y - 0*y + 12, 6 = -f - 4*y. Differentiate 0*b - 1 - f*b - 3*b wrt b.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2213554 (base 12) to base 8\nAnswer: -30620120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -1\/40*z**6 - 5\/8*z**3 + 3\/80*z**5 + 3\/4*z**2 + 0 + 2*z + 3\/16*z**4. Suppose d(j) = 0. Calculate j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 46 = -4*i + 50, -i - 5*q + 18 = 0. Suppose -972*r + 36179 = -829*r. Calculate the highest common divisor of i and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100111 (base 2) to base 5.\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*-2 - (sqrt(4)*1)\/sqrt(2).\nAnswer: -25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/9 and 187\/581280.\nAnswer: 1743840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1904\/(-147) - -13)\/(1\/15). What is the closest to -0.4 in 3\/7, 0, p, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204200132.\nAnswer: 2, 97, 526289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -3\/5*k**3 + 0*k + 0 + 4*k**2 + 1\/8*k**4 + 1\/100*k**5. Factor l(v).\nAnswer: 3*(v - 1)*(v + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -212*r - 2616. Let i be n(-14). Calculate the greatest common divisor of 1496 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.23, 1\/3, -3\/19, -0.1?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*n + 68, 4254*n - 34 = 4*p + 4259*n + 48 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2614*m + 8 = -2610*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 211*t. Let g(c) = -c**2 + 16012. Give g(y(f)).\nAnswer: -44521*f**2 + 16012","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1\/2, -0.15, -0.3 in descending order.\nAnswer: 1\/2, -0.15, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 12 = -2*x - 0*x, -5*d + 7 = -x. Let i be (-2)\/d - (5 + 43). Let t = -31 - i. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2409*s**2 - 17*s - 887. Let b(p) = -1204*p**2 + 10*p + 442. Let j(f) = 5*b(f) + 3*n(f). What is the first derivative of j(t) wrt t?\nAnswer: 2414*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 3975?\nAnswer: 2\/3975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.38 - 19.62. Let c = -14 - -34.5. Let n = k + c. What is the third biggest value in n, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55 and -7102?\nAnswer: 390610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42651 by -2031.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -38527.3461 rounded to the nearest 10?\nAnswer: -38530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22.12 and 0.7.\nAnswer: -15.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 4*f - 4. What is the remainder when 270 is divided by n(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 17\/7043732?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 14*o**2 + 1. Let v(u) = 99*u**2 + 9. Let i(n) = 2*v(n) - 14*w(n). Let c = -10 + 9. Let t(k) = 1. Calculate c*i(z) + 2*t(z).\nAnswer: -2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 97, 174, 249?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418676.\nAnswer: 2, 13, 193, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.752 * 1382370\nAnswer: 1039542.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**3 - 12*o**2 - 8*o + 6. Let t(v) = 17*v**3 - 50*v**2 - 31*v + 27. Let m(a) = -9*q(a) + 2*t(a). Find u, given that m(u) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -154, -193, -222, -241, -250?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*t**3 - 1)*(-3*t + t + 0*t) + 97 - 64 - 34 - 10*t**2 - 7*t**4 - t in the form o*t**3 + k*t**2 + d + l*t**4 + i*t and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -241*g**3 + 284. Let f(s) = -1929*s**3 + 2274. Let i(l) = 4*f(l) - 33*m(l). What is the derivative of i(r) wrt r?\nAnswer: 711*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10360600 to the nearest 10000.\nAnswer: -10360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(48) + (sqrt(3) + (sqrt(3) + (sqrt(3) - sqrt(3)*-2))*-2)**2 - sqrt(30)\/(1*sqrt(90)).\nAnswer: -73*sqrt(3)\/3 + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -372511044 divided by 5?\nAnswer: -372511044\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 379 - 575. Let i be q\/10 + 12\/(-30). Let p = 28 + i. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + 0. Suppose -5*r + 26 = 3*j, c = 2*j + j - 4*r. Calculate the remainder when j is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 929, 935, 941?\nAnswer: 947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 6*w**2 - 7*w + 4. Let i(z) = -2*z**3 + 7*z**2 - 8*z + 5. Suppose 2*q + 28 = -2*q. Calculate q*u(v) + 6*i(v).\nAnswer: 2*v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 6) to base 5\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 48*x - 93*x + 43*x. Let n(z) = -4 - 3*z + 4. Give y(n(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 0.4, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 54171414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/17 (b) -2 (c) 0.04 (d) 1 (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422 (base 5) to base 10.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 20*k + 24. Let a be r(8). What is the units digit of (1076\/a)\/((-3)\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 1164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 = -7. Solve 11 = 5*c + x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -66*n**2 + 2000*n - 616. Give w(30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1216))**2 + -2 + (1*(1 + sqrt(1216)) - sqrt(1216)) + -3.\nAnswer: 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 234143\/46 - 5090. What is the smallest value in 1\/4, 3, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/210 and -29\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, 0.2, -1\/4, 41751?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6)*(16 - 1). Sort j, -1475, -1, 0.\nAnswer: -1475, -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2389105.\nAnswer: 5, 477821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 324 (base 5) to base 7\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 11:44 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.86102635 + -0.15?\nAnswer: 0.71102635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283857 is divided by 2729.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 153*k + 461. Let i be q(-3). Suppose -5*x - 1 = -11. Suppose 0 = x*n + 3*n - 20. Solve -w + 1 + 1 = i*y, -3*w + 4 = n*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 334 and 50?\nAnswer: 8350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 559 and 2353?\nAnswer: 101179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + -16 + (0 - (-304)\/24). Let u(y) be the first derivative of -16*y - k*y**3 - 6 + 0*y**2. Differentiate u(f) wrt f.\nAnswer: -28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 4 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 10. Calculate s(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(9\/(-63)) - (-1 - 11). What is the third smallest value in 4, 6\/19, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*d**3 + 75\/2*d**2 + 1944 + 756*d = 0. Calculate d.\nAnswer: -36, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-10))\/(1617\/(-4410))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 3*p + 33 + 2*p**2 - 5 to the form z*p**2 + f + l*p and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 4 + 0 + sqrt(2) + (-2*sqrt(40)\/sqrt(4))\/sqrt(5))*1)**2.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:45 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 2. Let u be r(6). Solve -u = -b - 0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*z - 4, -3*x = -z - 3*z + 2. Let s be (x\/(2 - -12))\/1. Let d = 0.2 - 0.3. Put d, 1, s in decreasing order.\nAnswer: 1, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1954 and 177747564.\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 446 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 578 - 581. Let k = -30 + 60. Let p be 14\/4 + 5\/k*w. Solve 0 = -p*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*y - 2925 = 0, -19*y = -3*u - 18*y + 2925. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 10752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xixkxis. Give prob of sequence xkxx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1123252.3708 and 0.14?\nAnswer: 1123252.5108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 107*l**2 + 10*l - 16. Suppose -6*d + 52 = 40. Does 16 divide u(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 64 and 58936?\nAnswer: 58872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-26) - (-152)\/26. Suppose 4 = p*z - 2*z. Suppose -13 = -c - z. What is the greatest common divisor of 48 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = 25. Suppose 6*u = l*u + 37. What is u rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6*t - 4*c + 24, 4*c + 24 = 2*t. Suppose 54 = 6*r - t*r. Which is smaller: -30 or r?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12131213 (base 4) in base 15?\nAnswer: 7c9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 - b - 22. What is w(-4)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/5 - 1167*g\/5.\nAnswer: 3*g*(g - 389)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(605) + 2) + 6*-1*sqrt(80)*1)*-2)**2.\nAnswer: -32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1230 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccsc when four letters picked without replacement from cvcsssscs.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588015 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*2)\/(6 + -4). Suppose 6*o - o + 353 = -b, 209 = -3*o - 2*b. Let g = -356\/5 - o. What is the nearest to -1\/3 in 0.1, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 35\/28*30\/75. Which is the closest to i? (a) -1 (b) -2 (c) 0.3 (d) -1\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j + 4. Let v(l) be the second derivative of 5*l**4\/12 - l**3\/3 - l**2\/2 + 2*l. Let u(q) = -q**2. Determine j*u(n) - v(n).\nAnswer: -n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*f + 202*f = -750. Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-20))\/1*0\/(-1). Solve b = 4*s - 16, 2*y = 7*y + 5*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15176 - -24659. What are the prime factors of v?\nAnswer: 3, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808*o**2\/3 + 2845780*o\/3 + 4696 = 0. What is o?\nAnswer: -3522, -1\/202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = -y, 0 = -2*g + 5*y - 27 + 2. Suppose 4*w + 16 = g, 5*c - w - 470 = -6*w. Calculate the highest common factor of 28 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18582283 times -0.1\nAnswer: -1858228.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 380, -0.5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/25 (b) 0 (c) -2\/7 (d) -1 (e) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 36*l = 861. Let u(t) = 114*t**2 - 2*t - 1. Let b be u(2). What is the greatest common factor of l and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 + 2)*(6*j - 4*j + 2*j) + (22*j + 5 - 5)*(-2 - 2 - 2))*(3*j + j - 6*j) to o*j + u*j**2 + s and give u.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 7 + 130*k - 94*k + 11)*(15 + k**4 - 11*k**3 - 15).\nAnswer: 36*k**5 - 381*k**4 - 165*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4)*-2*0\/23. Suppose x = -r + 17*r - 528. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 259186 to the power of 1\/2, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.44? (a) 1\/8 (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 878 - 179. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-103)\/(-21) + 12\/126?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*6*-4 + (-1*sqrt(3) - sqrt(3))*2.\nAnswer: -28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3046448135 to the power of 1\/2, to the nearest integer?\nAnswer: 55195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74000 or -74035?\nAnswer: -74000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2609777 and 0.04.\nAnswer: 104391.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + v = 53, -5*m - 10 + 165 = -5*v. Find the first derivative of -6*j + m - 21 + 0*j wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.26 - 1.36. Let n = 638538.0999925 + -638537. Let l = n + m. What is l rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 16. Solve -4*b = x, -o - b + 17 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-64)\/2)\/(6\/(-6)). Let c = r - -118. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -921795 by 5.\nAnswer: -184359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 = -3*r, 0 = 4*f - r - 3*r + 8. Let p(u) = 17*u + 4. Let a(x) = 8*x + 2. Let i(q) = 5*a(q) - 3*p(q). What is the units digit of i(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 32 + 2. Suppose 0 = t*b + 13353 - 76353. Round b to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057265053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 339 and 651.\nAnswer: 220689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*m**3 + 6*m**2 + 33625*m**4 + 0*m - 33628*m**4 - 2*m to the form q*m**2 + t*m**3 + z*m + c + g*m**4 and give t.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2011?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 149*o**2 + 4*o - 29. List the prime factors of b(5).\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 127\/3. Which is the nearest to 0.1? (a) 0.4 (b) -0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 3*h + 0*h)*(-63*h + 25*h - 77*h).\nAnswer: -460*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1753, -1986, -2371, -2908, -3597, -4438?\n\"Answer: -76*b**2 - 5*b - 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -101111000111011100000111?\nAnswer: -101111000111011100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5226720390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22538, 22427, 22320, 22217, 22118?\n\"Answer: 2*y**2 - 117*y + 22653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*p = 102*p + 4066458. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 672 divide 1300914734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -2)*(-1 - (-2)\/4). Let l(f) = -3*f**3 + 6*f**2 + 5*f - 7. Let u be l(a). Factor 16\/3*b**u - 16\/3*b**2 + 0*b + 0 - 4\/3*b**4.\nAnswer: -4*b**2*(b - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 = 8*k + 329*i - 328*i, 106 = -4*k + 6*i for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**7\/1260 + 11*z**6\/80 - 5*z**5\/18 - 168*z**2 - 5. Factor b(l).\nAnswer: l**2*(l - 1)*(l + 100)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0 + 17\/105*c**7 - 2*c + 0*c**3 - 257\/24*c**4 + 0*c**6 + 0*c**5 + 162*c**2. Find the second derivative of r(a) wrt a.\nAnswer: 408*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55777, 111331, 166887, 222451, 278029, 333627?\nAnswer: 389251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(3 + 483\/(-147)). Solve 0 = 4*y - 4*m + 4, -2*m - k = y - 0*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -6*y - 2*y. Let b(o) = o**2 + 14. Let h be b(y). Find the third derivative of 26*n**2 + 21*n**2 - 60*n**2 - h*n**5 wrt n.\nAnswer: -840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -8*m**7\/35 + 5*m**5\/4 + 10*m**2 - 12*m. Find the third derivative of q(n) wrt n.\nAnswer: -1152*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 111960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x + 6*x**2)*(1 + 0 + 4 + 2*x).\nAnswer: 12*x**3 + 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*w - 39. Does 5 divide 1*w*3\/(27\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6004 + -3584. Suppose 16*x = 6*x - g. Let y = -154 - x. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/177 != -0.0314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132*o**2 - 70*o**2 - 480*o**2)*(16*o**2 + 6*o**2 + 0*o**2 + 1).\nAnswer: -9196*o**4 - 418*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 305 and 12261?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -36*n**3 + 11*n**2 + 11*n + 1. Let b(d) = 7*d**3 - 2*d**2 - 2*d. Let l(y) = -11*b(y) - 2*c(y). What is the first derivative of l(w) wrt w?\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*x - 714*x = 2730 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-8 + (3 - -2) - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, o: 4, s: 1}. What is prob of sequence osto?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/70 + (-40)\/(-70)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61.3 + -12.5. Let y = -74 - f. Which is the third smallest value? (a) 2\/3 (b) y (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -535913, -1071782, -1607651, -2143520, -2679389, -3215258?\nAnswer: -3751127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 3*d**2 + 13*d + 12. Calculate g(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -169\/8*s**2 + 1\/8*s**3 + 765*s + 22275\/2 = 0?\nAnswer: -11, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -13*a**3 + a. Let i be n(-1). Suppose 8*t + i*t = 220. Calculate the greatest common factor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -9 - (-44 + 16)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 - 13*p - 1. Let r(o) = -2*o**2 + 7*o. Let f(z) = 3*d(z) + 5*r(z). Calculate f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/8598 and 39\/2069252.\nAnswer: 6207756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 874760131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 298177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3.8. Let l = -0.14 + 3.14. Suppose -8*r = -3*r - 20, i + r - 9 = 0. What is the closest to c in l, 2\/3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 993.8.\nAnswer: 2981.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 327169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 177*d**2 - 179*d**2 + 0 + 0. Let u(r) = -155*r. Calculate o(u(l)).\nAnswer: -48050*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**2 - 4. Let r(o) = -14*o**2 - 11. Let j(a) = 11*b(a) - 4*r(a). Let k(t) be the third derivative of t**4\/12 - 3*t**2. Give j(k(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-5*4\/(-10)). Suppose -m - s = 1. Which is greater: m or -27\/7?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -47, -121, -253, -461, -763?\n\"Answer: -3*t**3 - 2*t**2 - 7*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**3 - 15*b**2 + 15*b. Let t(k) = 3 - k**3 + 548*k**2 - 13 + 5 + 5 + k - 549*k**2. Let u be ((-2)\/1)\/((-2)\/(-15)). Give u*t(a) + o(a).\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -329220 by -930.\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 893267 and 6847.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 34*a**2 + 59*a + 145. Calculate m(32).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 84*d**3 + 786*d**2 + 2772*d + 3267.\nAnswer: 3*(d + 3)**2*(d + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.806428*3.\nAnswer: 5.419284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*r**2 + 17*r**2 - 55*r + 29*r + 26*r + 11*r**2 - 3*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-580)\/30 - -20)*(6 + (-35)\/6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 224 = -24*u. Suppose 2*a = -2*y + 36, -a + 56 = 3*a - 4*y. Calculate the highest common divisor of a and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152592063?\nAnswer: 3, 13, 197, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 840814956 a multiple of 2369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335943547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 + 2*i**2 - 3*i**2. Let o(j) be the first derivative of -1\/2*j**2 + 2 + 0*j. What is w(o(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 7:48 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -11 + 15 + (0 - -2) + (-36 - -100)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 6. Let d = j + -18. What is the closest to -0.1 in -1\/36, d, 0.1?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -22*f**2. Let v(p) be the third derivative of 0*p**3 + 1\/12*p**4 + 0 - 4*p**2 + 0*p. Determine i(v(u)).\nAnswer: -88*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 78 = 16*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*m**2 + 76*m - 3 + 16*m - 92*m - 13.\nAnswer: -38*m**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 + -3. Let f = -631\/12 + 637\/12. Which is the nearest to d? (a) 0 (b) 0.04 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:43 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1463, -1532, -1647, -1808, -2015?\n\"Answer: -23*m**2 - 1440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821299 is divided by 7019?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 8*f - 108. Suppose 2*b - 4*u = -3*u + f, 2*u = 3*b - 12. Solve 2*i + 10 = 0, -i + 5 = 4*g - b*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -126*y - 4519. Give v(-36).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112))**2*3 + sqrt(112)*6.\nAnswer: 24*sqrt(7) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 1 - (2 - 44\/4). Let a(u) = -7*u**2 + 6*u + 1. Let o(n) = -6*n**2 + 6*n + 2. Let s(r) = 5*a(r) - 6*o(r). Let f be s(d). Solve 3 = -f*z - z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 3a12?\nAnswer: -3a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 8, 6\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2 - 96380*s = 0. Calculate s.\nAnswer: 0, 19276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3855*p**2. Let t(y) = -y**2. What is t(i(z))?\nAnswer: -14861025*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -599744 + 16655490626\/27771. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2888694 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -100.6814\nAnswer: -20.13628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/30 - t**4\/30 - 4*t**3\/9 + 4*t**2\/5 - 609*t. Determine x so that y(x) = 0.\nAnswer: -2, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173.1 + -174. What is the closest to 0 in -2, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-528)*-8*2\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 7. Suppose 0*t = 2*t - 5*x + 14, 8 = t + 5*x. What is the units digit of -4*((-10)\/r + t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 5*s**2 - 11\/6*s**3 + 0*s - 1\/8*s**4 + 0. Calculate the remainder when 11 is divided by l(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 21. Let m be x(9). Let d = 21 + m. Solve -5*g + 25 = 0, -4*g = 5*u - d*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 - 12*l - 13. Let j(z) = 4*z**2 - 15*z - 13. What is -4*j(b) + 5*x(b)?\nAnswer: 9*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (1 - 3) - -4. What is the hundreds digit of (-6256)\/(-21) + c\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006089901 rounded to six dps?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 76*h + 1353. Let c(z) = -17*z - 338. Give -18*c(v) - 4*j(v).\nAnswer: 2*v + 672","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491, 494, 495, 494, 491?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 10:15 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/26 and 121\/234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -947, -3269, -7811, -15317, -26531, -42197, -63059?\nAnswer: -89861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3 - 927*o**2 + 72072*o - 1662960 = 0. What is o?\nAnswer: 52, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -43*t - 570. Determine a(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3369 - -3380. Solve -y - 9 = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121167, 12, -3, -1 in decreasing order.\nAnswer: 12, -1, -3, -121167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -71, -166, -309, -506, -763, -1086, -1481?\nAnswer: -1954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a*a**(-7)\/a)*a)))**(-3\/8)*(a*a*a*(a**(2\/21)*a)\/a*a)**1 assuming a is positive.\nAnswer: a**(121\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**7\/840 + z**6\/160 + z**5\/40 - 7*z**4\/24 + z**3 + 10*z**2. Suppose l(b) = 0. What is b?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2338*d + 21796. Determine b(-9).\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/2 + -2*1. Let c = -0.7 - -0.5. Put -3, c, p in ascending order.\nAnswer: -3, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 2*i + 1904 = 0. Suppose 9*u - i = 7*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96412052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -250 - -22. Does 30 divide r\/(-8)*2 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 390823\/193 + -2025. Suppose 128*s = 160*s + 32. Which is greater: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20021030 - -11?\nAnswer: -20021014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -103775.9011?\nAnswer: 103770.9011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 35. Let d(n) be the third derivative of 1\/420*n**6 + i*n**3 + n**2 + 1\/84*n**4 + 0 + 0*n - 1\/105*n**5. Factor d(u).\nAnswer: 2*u*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 220*n**2 - n + 2. Let l be b(-2). Suppose l - 323 = 3*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2702523 and 1448172?\nAnswer: 3657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-1 + (-57)\/(-55)). Let j be 2*((-45)\/(-6))\/3. Suppose -3*t + 246 = 2*y, y + j*t - 68 = s. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8995.7988 + -22.\nAnswer: 8973.7988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 6*w + 776. Let z(n) = -9*n**3 - 4*n**2 + 6*n + 19. Let g be z(-3). Suppose -4*r = 4*h - w, 2*h + g + 305 = 5*r. List 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 value of (6\/(-8))\/((-66)\/(-44))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 16*o**3 + 17*o**2 + 17*o. Let h(z) = 2*z**3 + 2*z**2 + 2*z. Suppose 57 = -3*m + 36*m - 141. Give m*a(l) - 51*h(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*w + 17 = -w, -3*i + 3*w = 12. Suppose 0*m - m - i = 0. What is the third biggest value in -4\/7, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 - 2*y**2 + 3*y - 2. Let k be 64 + -65 - (2 - 5\/1). Let w(j) = -4*j**3 + 2*j**2 - 4*j + 3. Determine k*w(l) + 3*b(l).\nAnswer: l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9416*h + 9414. Give m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -28*d**5\/9 - 2042*d**4\/9 - 1870*d**3\/9 + 16*d**2 = 0.\nAnswer: -72, -1, 0, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3772850 is divided by 290219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 755108077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/30)\/((840\/(-16))\/15).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + c + 864 = 3145, 5*d = 2*c - 3801. Let a = -585 - d. What is the greatest common divisor of a and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9933 and 32040547.\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2562*w - 2562*w - 49*w**2 + w**2 + 4*w**2 - 3*w**2 - w**2 + w**2 + 2*w**2 + (-w - w + w)*(5*w - 3*w - 4*w) to the form b*w + m + a*w**2 and give a.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110020101 + -2222200120?\nAnswer: -10102220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 34. Suppose -756 = -3*k - d. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r + 3 = 3*p, 5*p = 3*r + 5. Let i be -4 + (-2 + -4)\/(-2). Which is bigger: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38663? (a) 0.4 (b) 3 (c) 9 (d) -4 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2*w**3\/15 + 33*w**2\/5 + 36*w - 331. Find i such that z(i) = 0.\nAnswer: -30, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 54*r**2 - 32*r + 1881. Determine c(54).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7064 - 4475. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 36. Let s = 99 + -105.7. Let b = s - -7. What is the closest to -2\/5 in y, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**2*p**2 + 67*k**2*p + 2*k**2 - 5833027*k*p**2 - 16*k*p - 86*k + p**2 - 16*p wrt p.\nAnswer: 6*k**2 - 11666054*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(17) - (sqrt(119) + sqrt(119)*-2)\/sqrt(7)))**2.\nAnswer: -12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-159340)\/12850)\/((-4)\/(-10)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/2340 and 19\/14430.\nAnswer: 86580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllklklllllkklklk. Give prob of picking 3 k and 1 l.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 236 = 3*c, 0 = c + p + 31 - 103. Solve 0 = 6*z + 65 - c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 86*f - 1884. Give g(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30803 or 30800?\nAnswer: 30803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 33917 = -5903. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 5*u - 5. Let k(o) be the third derivative of 2*o**3 + 116*o**2 + 0 + 1\/30*o**5 + 0*o - 1\/2*o**4. Give 5*k(h) + 12*q(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 3*b + 4*v + 378, 106*b + 27*b = 135*b - 4*v - 372 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 2. Let c be b(-6). Suppose c*m - 84 = -28. Solve -5*v = -1 - m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-4))\/(10\/(-16)). Let o = 20 + -22. Let m = -43 - -43.4. What is the nearest to o in z, m, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*-2 + 0)*5)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -z + 37. Calculate the least common multiple of z and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(6\/(-10))\/(7158\/(-1240720))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3354 + 3362. Solve -3*m = 15, -10*m + a*m - 10 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 31?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 + 14*j**3 - 20*j**3 - 45*j**3 - 27*j**3.\nAnswer: -70*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**2 + 4*l + 6. Let p be d(0). Suppose 0 = x + 2*a + 9, -5*a - p - 11 = 0. Put x, -2, -5 in decreasing order.\nAnswer: -2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 4*q**2 - q**2 + q**2 + 2 - 2 + (0 - 5 - 1)*(0*q**2 + q**2 + 0*q**2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.12 + 0.12. Let i = 2 + h. Let o = 0 - i. Which is bigger: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30045399533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -771.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 349, 5, 2\/5, 3\/2 in decreasing order.\nAnswer: 349, 5, 3\/2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5 = 3*i + b, -5*b - 5 = 5*i. Suppose -103 = -i*r + 2*q, 2*r + r - 113 = 4*q. What is the remainder when 123 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-204)\/(-48) + 15\/6*-2. Which is the nearest to -2? (a) 6 (b) j (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6 + 2*a**5 + 142*a**2 wrt a.\nAnswer: 240*a**3 + 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8300821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*z - 756*z - 288 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*f + 27*f + 338712 - 23415 = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1150, -8018, -14886, -21754, -28622?\nAnswer: -35490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -3 - (-4347)\/27. Calculate the greatest common divisor of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184274 and 10547.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*t = -4, 121*z - 4 = 118*z - 5*t. Solve 14\/5*i + 12\/5 - 14\/5*i**z - 2\/5*i**4 - 2*i**2 = 0 for i.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5236 - 567. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:55 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**3 - 1904680*h**2 + 181390295120*h = 0.\nAnswer: 0, 190468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/36 and -73\/82.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2362, 9484, 21352, 37966?\n\"Answer: 2373*x**2 + 3*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -830 divided by 11627.\nAnswer: -830\/11627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6*-6*(-3)\/27\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 1. Let s be 0*(l + -3 + 6). Suppose -11 = -n - s*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920508 a multiple of 971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*r**3 + 4188737*r**2 - 7735*r + 386.\nAnswer: -24*r + 8377474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -70601 (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-3)*(-86)\/(-6) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 36744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -103416 (base 9) in base 14?\nAnswer: -18623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1860 and 6263550.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*d + 27*d - 47*d to j + n*d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p**2 - 2*p + 3. Let r = 327 - 307. Calculate the remainder when d(3) is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4936 divided by 4936?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2 = 8. Let o(q) = -f + 107*q**2 - 221*q**2 + q + 109*q**2 + q**3. Calculate o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.025644+1521.989\nAnswer: 1521.963356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 4*q**2 - 25*q + 156. Calculate u(-17).\nAnswer: -8089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28043 or -27703?\nAnswer: -28043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39124 divided by -7.\nAnswer: 39124\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 80845556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 9733 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from kbasbbbbkkbbbbsbe?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97 or 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*b*j*u*x**3 - 1196*b*j*u*x - 5038*b*u*x**3 + b*x**2 - 58*j*u*x**2 - 442*j*u*x + 27*x**3 wrt x?\nAnswer: -336*b*j*u - 30228*b*u + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*q + 2)*(-1 + 0 + 3) - 2*q + 6*q + 0*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 14033 - 4210 = 0. List the prime factors of g.\nAnswer: 11, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 517724.13+-201\nAnswer: 517523.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6799 - 4?\nAnswer: 6795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 0)*(-6876 + 4*o**3 + 121*o**2 + 6876).\nAnswer: -40*o**3 - 1210*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327073016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 6*m - 5. Let y be p(4). Let x = -3 - -5. Suppose 0 = -2*c + x - 4. Sort 1, y, c in descending order.\nAnswer: y, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538399 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 235*r**3 - 20*r - 2?\nAnswer: 1410*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 10*c = -2*v + 67, 2*v = -8. Let x(j) be the second derivative of j**4\/12 - j**3\/3 + 27*j**2\/2 - j. List the prime factors of x(c).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 1:27 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*f**3 - 10*f**3 + 28*f**3 + 0*f**3 + 4*f**3 - 2*f**3 - 2*f**3 - 2*f**3 + 3*f**3 + (-1 - f + 1)*(-f + 2*f**2 + f).\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjz when three letters picked without replacement from zzjjjzzzjjjzzj?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29995.\nAnswer: 5, 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1855\/(-206) - -9)*((-18)\/8)\/9. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282957 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, y: 3, o: 1, c: 4, f: 2}. What is prob of sequence ggy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000047431 to seven decimal places.\nAnswer: 0.0000474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = -4. Let g = -5 - b. What are the prime factors of (4 - 155\/10)*g?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618 - 24*y + 7*y - 1003 + 1096.\nAnswer: -17*y - 525","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25482320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72136*m - 61730?\nAnswer: -72136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f - 3*f**2 - 1051 + 1044 + 2*f**2. Let z = 65 - 61. Suppose 0 = -2*x + 16 - z. What is j(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.67 in 0.3, -1\/3, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*j - 3 + 1, 37*j - 35*j = 2*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2282 + 25718*a - 4546 + 2264)*(-2*a - 2*a + 2*a) to the form r + d*a + s*a**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34854?\nAnswer: 2, 3, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/10*f**4 + 4\/5*f + 1\/10*f**2 + 2\/5 - 1\/2*f**3 + 1\/10*f**5.\nAnswer: (f - 2)**2*(f + 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**2 + 148*p - 115.\nAnswer: -2*p + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6826? (a) 2\/5 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times 0.16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/20)\/c*c*c)\/(c*c**(-3)) assuming c is positive.\nAnswer: c**(61\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 47. Let m(q) = -2*q**3 + 2*q**2 - 4*q - 3. Let p(w) = 5*w**3 - 5*w**2 + 8*w + 8. Let a(t) = 7*m(t) + 3*p(t). What is a(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2541507803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12681\/28 - 1811\/4. Sort -0.2, z, 5, 1\/2, -7 in descending order.\nAnswer: 5, 1\/2, z, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*n = 2*n - 2, -5*n - 10 = -4*d. Suppose -4*x - 3*g + 569 = d, -x + 4*x - g = 430. List the prime factors of x.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, 3, 23, -3, 15, -5.\nAnswer: -5, -3, 2, 3, 10, 15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -471.630958 rounded to one dp?\nAnswer: -471.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6*y - r + 9, y = 4*r + 15. Find the third derivative of 147*b**6 - 6*b - 82*b**6 - y*b**2 - 11*b wrt b.\nAnswer: 7800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5578, 11042, 16508, 21976?\n\"Answer: y**2 + 5461*y + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/71 + -77\/426. What is the nearest to 5 in 0, -1\/7, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01765338 rounded to 4 decimal places?\nAnswer: 0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*k + 139*k + 115*k + 70*k to the form f + w*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -2134?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f**5*f*f)))\/((f*f\/(f\/(f*f**5)))\/f))\/(f*f**(2\/3)*f**8) assuming f is positive.\nAnswer: f**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1701*l*s + 821*l - 362518*s - 37 wrt l.\nAnswer: 1701*s + 821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -938310*g*o**2 + 79*g*o - 17*o + 374 wrt o.\nAnswer: -1876620*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 129622 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.077899065 + -56.077862065. Let w = 91 + -35. Let v = w + a. What is v rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*i = -13276 + 3678 - 5914 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**2 - 4*d**2 - 3*d**3 - d**3 + 2*d**2 - 2*d**2 + (-2*d**2 + 2*d**2 - 2*d**2)*(d + 2*d - d).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60849727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 0.2, 118.74, -4, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 - 8 = 0. Suppose 0 = z - v*r + 6, r - 27 = -5*z - 3*r. Determine g, given that g**z + 0 + 1\/2*g - 3\/2*g**2 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*j + v + 2, 3*v - 8 = 4*j. Let t be ((-48)\/(-14))\/(2\/(-21)). Let k be t\/24 + j\/(-4). Is -1 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 equal to 184335\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165 + 110. Let q = j + -215. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + 4*q**3 - 3*q**3 + (-2*q + 7*q - 3*q)*(-q**2 + 3*q**2 - 4*q - 4*q) to the form z + v*q**3 + o*q + y*q**2 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (104 - 119) + 7 + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1214*k + 381182. Calculate l(314).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 145*y**2 + 19*y + 2722. Give z(-145).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 3*h)*(39*h**2 - 34*h**2 - 80*h**2).\nAnswer: -75*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a - 18 = -12*a. Let p(q) = -q**3 + 5*q**2 - 6*q + 3. Let u be p(4). Sort -22, u, a, 4.\nAnswer: -22, u, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 50 (base 11) to base 12\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 x when four letters picked without replacement from wyxyyxyxyxwxxywmy.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 17 + 39*c**5 - 143*c + 143*c - 11*c**5 + (-1 + 1 - 2*c**3)*(-c**2 + 3*c - 3*c).\nAnswer: 30*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 66*b - 57. Let w be (-1 + 0)*3\/27*-9. Calculate r(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 8:24 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*o + 198, o - 23 - 26 = -r. What is the remainder when r is divided by (-114)\/(-5) - 162\/(-135)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*n + 413882 - 414718 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*b = 95, 2*b + 29 = 4*o - 47. Let a(t) = 6*t**2 - 2*t - 5. What is the remainder when a(-3) is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.35 - -4.347014. Round g to five dps.\nAnswer: -0.00299","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 748735064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1927042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -41*g**2 - 98908*g + 98910. Determine t(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-28))\/((-484)\/(-10648))?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -107, -2231, -4359, -6491, -8627?\n\"Answer: -2*a**2 - 2118*a + 2013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n*(n*n*n*n**(-2\/17))\/n))\/n)**(-41) assuming n is positive.\nAnswer: n**(1312\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2114230100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -1, 5, -3, -0.5951 in ascending order.\nAnswer: -3, -1, -0.5951, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + -5*(sqrt(72) + 1 + sqrt(72) - sqrt(72)) + -4 + 2)**2.\nAnswer: 780*sqrt(2) + 1969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h**4 + 515*h**3 + 326*h - 126544272?\nAnswer: -12*h**3 + 1545*h**2 + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, 159 in decreasing order.\nAnswer: 159, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -11\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/15*5\/(-9)*540\/585.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15606, 15816, 16026, 16236, 16446, 16656?\nAnswer: 16866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a - 10. Let n be 4\/(-60) + (-4)\/a. Let x = 2.92 + 0.08. Put 2\/7, x, n in descending order.\nAnswer: x, n, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/84)\/((-70)\/(-12))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 - 142254?\nAnswer: -142200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 11*r - 2*a = -18, -a + 5 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38962 - 39631. Is -678 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/18 and 149\/19686?\nAnswer: 59058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**3 - 113610*h**2 + 3227716713*h - 51614387344 = 0.\nAnswer: 16, 56797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 15293639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (732\/61)\/((2*-2)\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42 (b) 1\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + j. Let c(r) = -2*r**2 + 7*r - 6. Let h(t) = t**2 - t + 1. Let i(x) = -c(x) - 6*h(x). Let d(p) = -2*i(p) - 3*n(p). Determine d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 8*d - 21 = 8, 3*m - 3*d - 6 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8 (b) 1\/2 (c) 1\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = 3. Suppose 6 = -2*s + 5*s. Factor -2*p - p**s + 3*p**2 - 5*p**2 + 4*p**z.\nAnswer: p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-20) - (-2241)\/(-4185)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/105 in -1\/3, -3\/5, -6, 0.9, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2343309 and 4\/147.\nAnswer: 114822141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*s - 24, 4*p + 23*s + 56 = 19*s. Let a be 3\/6 + (-276995)\/p. Round a to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34010117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 49*p**2 - 158*p + 118. Let x be k(52). Let r(o) = 2*o**2 + 8*o - 6. Let i(h) = -h**2 - 3*h + 2. Calculate x*i(n) + 5*r(n).\nAnswer: -4*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.611338 millilitres?\nAnswer: 0.003611338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(168)*-1)\/sqrt(12))\/((sqrt(2) + sqrt(32))*4*-3).\nAnswer: sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - -1 - -1 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + h + h + 5*h - 4 + 5*h**2. Let b be n(6). Suppose -24 = -2*r - b. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 4*o**2 + 3. Let a be k(4). Find the third derivative of 3*u**3 - 2*u**3 - u**a + 4*u**4 + 6*u**2 wrt u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 1 + 2. Let t(v) = 2*v**2 - 30*v + 110. Calculate the lowest common multiple of (-3)\/(3\/(-2)) - m and t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 24*y**2 + 45*y + 9. Let h be t(8). Suppose -j + m - 8310 = 0, 2*j = -m - 7712 - 8893. Let o = h + j. Round o to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 10*l**2 + 9*l - 3. Let v = 46 - 172. Let p = 65 + v. Let s = 52 + p. Give x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158194 (base 11) to base 9.\nAnswer: -413224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Suppose -5*w + 14 = 2*l, -o*w = l - 4*l - 2. Let c = -5 + 6. What is the closest to c in w, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13534*b - 66610. Determine m(5).\nAnswer: 1060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*k = -13, 2*k + k + 3 = 3*r. Suppose 3*f - 38 = -2*q, 2 = 2*f - r*f. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 2)*(-q + 5*q - 2*q) + (-3 - 1 + 1)*(q + q + 0*q))*(-2*q + q - q).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**4 - 751*y + 850?\nAnswer: -8*y**3 - 751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.95. Let p = z - -1.05. Does p = 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**2 + 146. Let h be i(0). Suppose h*l = 136*l + 60. Solve w = -w - l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 26247\/(-1767) + 0 + (-646)\/(-10013).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0*y + 1\/24*y**4 + 0*y**3 - 3\/20*y**5 + 5*y**2 + 0. What is the second derivative of n(h) wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564 divided by -72349.\nAnswer: -564\/72349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 595\/2*(-8)\/(-10). What is the greatest common divisor of 34 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/2 + 405*m**2\/2 + 1332*m - 1536.\nAnswer: 3*(m - 1)*(m + 8)*(m + 128)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**3\/3 - 9*r**2\/2 - 3*r - 1153. What is b(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -0.01824.\nAnswer: -0.31824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63\/42*(14\/(-12))\/7. Let o be (-4)\/6 - (-13)\/(-39). Which is the nearest to w? (a) o (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010244351 rounded to 6 decimal places?\nAnswer: -0.001024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -1121\/5*s + 224 + 1\/5*s**2 = 0.\nAnswer: 1, 1120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 + 1215123?\nAnswer: 1215102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5\/5 + 903*z**4\/5 + 50710*z**3 + 4545050*z**2 - 253551*z\/5 - 22726153\/5 = 0.\nAnswer: -457, -223, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, c: 2}. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 17504 = -136. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhoo when four letters picked without replacement from hooohohhoohh?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -57 (b) -0.4 (c) -127660\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0*j**3 - 1\/12*j**4 + 0 + 0*j**5 + 1\/30*j**6 + 5*j + 0*j**2. Determine t so that i(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*2*-3)\/(sqrt(245) + sqrt(245)*1).\nAnswer: -3*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.33 - -0.43. Which is the closest to l? (a) 2\/9 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*r - 612, -5*r = -0*r + 3*p - 608. Let o(w) = -r + 124 - 4*w. Give o(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 a when four letters picked without replacement from {z: 1, s: 8, d: 2, a: 4, g: 1}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1872446, -3744893, -5617336, -7489775, -9362210, -11234641, -13107068?\nAnswer: -14979491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 12*c + 21. Give g(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36a (base 15) in base 8?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -82, -3\/4, 1, -4\/5, -5\/66?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 93.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 93 = -2*v + 6*v, -m + 24 = v. Let b(j) = -j**2 + 3 + 29*j + 0*j**2 - v*j. Give b(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 58 + 82. Let p(v) = 3*v + 87. Let r be p(-27). Solve a = -4*i - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 37*c**2 - 55*c + 201. Let n be y(20). Solve 68*d - 25*d + n = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2204219067.2 rounded to the nearest 100000?\nAnswer: -2204200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z - 4. Let i = 4 + 0. Suppose -2*v - 3*v + 180 = -i*x, 0 = 4*v + 4*x - 180. What is the remainder when v is divided by b(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a**5 - a)*(-4 + 1 + 1) + a**5 - 190*a + a**5 + 205*a.\nAnswer: -2*a**5 + 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5388 and 174661.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 6*y + 4*y**2 - 4*y**2 + 7*y**2.\nAnswer: 7*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 3*o**2 + o + 1. Let p be t(-3). Let h = p + 5. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + -3.97. Let u = j - -4.00091. Round u to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154516420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191276\/25 + -7649. What is the common denominator of o and 187\/60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1391*p**5 - 68*p**3 + 3*p**2 - 5720653*p?\nAnswer: 27820*p**3 - 408*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-14)*42\/12*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2362*i + 19441*i - 5395*i + 28004*i - 4589*i.\nAnswer: 35099*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c6786 (base 14) to base 16.\nAnswer: -f83c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 3*h**4\/4 + 17*h**3 + 60*h**2 - 900*h - 173. Factor s(m).\nAnswer: 3*(m - 3)*(m + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 plus -6920.17?\nAnswer: -6898.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m**2\/13 + 4652*m\/13 + 3104\/13 = 0. What is m?\nAnswer: -2\/3, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 4*h**2 + h + 2*h. Let s(v) be the third derivative of v**6\/120 + v**5\/20 - v**4\/24 + v**3\/6 - 16*v**2. Let u be s(-3). Calculate p(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(66) - sqrt(66)*1*4)\/(sqrt(6) + sqrt(24)\/((sqrt(4)*-2 - sqrt(4)) + sqrt(4))))**2 + (-4*2*sqrt(528) + sqrt(528))\/(sqrt(108)*2 - sqrt(12)).\nAnswer: -14*sqrt(11)\/5 + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*0.6.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(-2 + sqrt(272) + 1)*-5)**2*-6 + 3.\nAnswer: -5896797 + 172800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (-8)\/(-6))*(-47 - -29). Solve 137 = i*a + 77 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-163 + -3361)*2\/(2*4). Which is smaller: k or -880?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 0, -2*m + 4 = -n + 5. Suppose n*z = 2*z - 5. Sort 4, 5, z in descending order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(833) - sqrt(833)) - (-1*sqrt(833)*2)**2)*-5*1*-6.\nAnswer: -99960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2. Suppose -q = s - 6, 3*s + 12 = -3. Let j(d) be the third derivative of 0 + 0*d**3 + 1\/4*d**4 + 0*d + q*d**2. Give g(j(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyy when three letters picked without replacement from {u: 9, y: 10}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4718 is divided by 254.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 369 and 451.\nAnswer: 4059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 10 + a**2 - 91*a + 76*a. Let x be v(-14). Solve -x*l - 8 + 1 = y, -2*y + 19 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (22 + 0)) + 53 + (33 - 80).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0321 times 2\nAnswer: -0.0642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, l: 1, t: 2}. Give prob of sequence nl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26757, 33573, 40389, 47205, 54021, 60837?\n\"Answer: 6816*h + 19941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 17*n + 24. Let h be m(16). Suppose -h = 3*a - 83. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/((-5)\/10). Suppose -3*k + 4*g = -21, -5*g = -0*k + 3*k + 6. Suppose -k*p + q = -6. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4356\/1674 + 2\/10 + 2814\/(-20770).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 102. What is the nearest to r in -1\/2, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 5:00 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00449502 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -641080548*y**3 - 148978*y**2 - 11*y + 29 wrt y.\nAnswer: -3846483288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*9031\nAnswer: -5418.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*s**4 + 215*s**2 + s - 12433?\nAnswer: -888*s**2 + 430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14924 and 223860.\nAnswer: 223860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -19, 2, -5, 3 in descending order.\nAnswer: 4, 3, 2, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.2 times -0.088?\nAnswer: 0.7216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, d: 2, n: 1, s: 1, p: 2, x: 4}. What is prob of picking 1 e and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -14.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63368 + 2*b**2 - 373*b - 51*b + 198*b - 4*b**2 - 486*b = 0 for b.\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(2*r**3 - 3*r**3 + 3*r**3) + 4*r**3 + 8*r**3 - 3*r**3 + r**3 + 16 - 102*r**2 + 102*r**2 + (-2*r + 0 + 0)*(6*r**2 - 2*r**2 - 5*r**2).\nAnswer: 8*r**3 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.12, 2\/7, 2, 9 in ascending order.\nAnswer: -0.3, -0.12, 2\/7, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:04 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/59 - -1844\/177. Which is smaller: j or 11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + -11)*3 + 7. Is k greater than or equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -26 + 6*n - 31*n + 9*n + 10*n + 7*n. Let o(s) = -3*s + 78. Calculate 11*b(r) + 4*o(r).\nAnswer: -r + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 91 - 71 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 412895 - 83807. Let p = -329055.9946 + c. Let h = p - 32. Round h to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -14. Let h = 12 - 10. Which is the nearest to -9? (a) h (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 - 17 = 4*x. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899.8075ml to litres.\nAnswer: 0.8998075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t - 91. Calculate p(31).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/(18\/(-108)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 40 = 2*c, -2*c + 5*a + 16 = -26. Suppose 2*i - 5*b = 34, -3*i - 3 = 2*b - c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 61*m**2. Let y(w) be the second derivative of -w**5\/30 - 21*w**2\/2 - w. Let c(u) be the first derivative of y(u). What is c(k(z))?\nAnswer: -7442*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (432\/(-264))\/(97\/(-291))?\nAnswer: 54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**3\/6 + 444*n. Let k(v) = 9*v + 2. Determine -k(p) - 6*r(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -42 + 37, -19400 = -3*z - b. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2. Let a(s) be the second derivative of 2*s**3\/3 + 3*s. Give r(a(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 = -5*s - d, 2*s - 4*d = -6*d + 178. Let p = s + -87. Solve 0 = 2*f - p*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -5 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*c + 92, -3*c - 352 = -5*o - 126. Calculate the lowest common multiple of o and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = -3*g, 25*g - 29*g - 2*s = -10. Solve -8*f + i = -3*f + 12, g = -2*f + 3*i - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1456 and 83\/4?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*u - 5*p + 295 + 160, -5*u + 2*p = 4*p + 79 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52017509 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 340 = 3*s. Let t be (-4 - -8) + (-15 - -14). Suppose -5*a - f + 4*f + 267 = 0, -a + t*f = -63. Calculate the highest common divisor of s and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 3. Suppose 0 = 3*x + 5 - 17. What is l(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a25 - -3?\nAnswer: -2a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-90)\/(-42) + 1\/(-7). Suppose 0*g - g = 3*h - 68, 2*h + 168 = w*g. Suppose g*t = 78*t + 250. Is 25 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2395 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5199 = -5195 + 10389, -n + 8*w = -3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: d676 (base 16) to base 2\nAnswer: 1101011001110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -899801 or -899799?\nAnswer: -899801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*x - 8, 420 = -2*j - 2*x + 428 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/5)*a**3*a*(a**(2\/3))**(-18) assuming a is positive.\nAnswer: a**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 133360, 133428, 133616, 133984, 134592, 135500, 136768, 138456?\n\"Answer: 10*q**3 - 2*q + 133352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -814\/21 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 239\/31 in 0.2, -1.6, 1\/3, -0.095?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4495*u**2 + 260 - 84 - 80 - 96 to p*u**2 + d + s*u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 52*g - 39. Let t(r) = r - 1. What is -b(u) + 39*t(u)?\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 381, 555, 729, 903?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4)*16\/18. Let w be ((-6)\/21)\/((-20)\/(-28) + 0). What is the nearest to w in -0.1, 4, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 935306 and 934878 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 6. Let m be u(-5). Let d be 0\/3 - (-3 + m). What is the units digit of 4*(d - 14\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 17. Suppose -5*b + 3*b + 144 = 5*j, -w*j = 5*b - 66. Suppose 8 = 3*d - j. Calculate the greatest common divisor of 18 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 not equal to 3801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2, -172, 0.1, 0 in increasing order.\nAnswer: -172, -2, -2\/7, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -10, -m - 2*z + 4 = 3*z. Let f be (5\/2)\/((-20)\/(-40)). Put -3, m, f in ascending order.\nAnswer: m, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 102 + 121 = -5*k, -2 = -2*k - 4*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 5*m + 6. Let t be k(4). Factor -t*w**4 - 6*w**3 + 3*w**2 - 4*w**4 + 7*w**4 + 2*w**4.\nAnswer: 3*w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(-2\/33)*(g**(1\/4))**(-8) assuming g is positive.\nAnswer: g**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a (base 14) to base 15.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59260841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/108 + (-10416)\/(-27) + 1. Let k = m + -381. Calculate the highest common divisor of 8 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -56*i. Let r(m) = -23*m**2. Give r(w(k)).\nAnswer: -72128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a + 5*a + 5*a**2 - 3*a**2. Let f be (-8)\/6 - (-3)\/9. Let n be v(f). Calculate the highest common divisor of 3 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v**3 - 40*v**2 + 7*v. Let i be n(11). List the prime factors of 0 - 4 - 2*i\/(-22).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1702 + 2567. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 746 + 424. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/6*0)\/(-2). Suppose -14*w + 9*w - 25 = u. Let z = 7 + -4. Put w, z, 4, 2 in decreasing order.\nAnswer: 4, z, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -206?\nAnswer: 13\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.381799 centimeters in meters?\nAnswer: 0.04381799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 - -3556.\nAnswer: 3556.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -21*n**5\/4 + n**4\/6 - n**2\/2 - 15*n. List the prime factors of b(-1).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 25. Let w(a) = 10*a**2 - 19*a**l + 7*a**2. Let u(d) = 2*d**2 - d**2 + 181*d - 181*d. Give w(u(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208120 - 207942.497. Let q = u + -0.303. What is q rounded to zero decimal places?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 5*t + 3. Let w be ((-8)\/10)\/((-2)\/15). Let m be o(w). Let b = m + -4. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10908900 divided by 2300?\nAnswer: 4743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110010100111 - -101?\nAnswer: -1101110010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -10 - 18. Let r = t + 14. Suppose 0 = 4*g + 45 - 65. Sort g, -2, r, -5 in increasing order.\nAnswer: -5, -2, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 328213462 to the nearest integer?\nAnswer: 18117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 37. Let m be i(-34). Solve a - m*g + 20 = -0*g, -a = -g + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153 + 14. Let r = -107 - -39. What is the remainder when k is divided by -4*r\/8*1?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33601 is divided by 400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/(-81)*8*(-63)\/(-49)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -12444 - 2*w - w**2 - 19*w + 12352. Let j be m(-7). Solve -j*u = u + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20502 and 20502.\nAnswer: 20502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -251*a**2 - 4016*a + 5. Let g be q(-16). Let n be (-1)\/4 - (-15)\/12. Let w(x) = 3*x**3 + 1. Let m be w(n). Put g, m, -5 in increasing order.\nAnswer: -5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w + 15. Let t be f(-9). Which is greater: -14 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbbjv. What is prob of sequence vvj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3228 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.38, 6\/5, 245?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdetdtzneziiiezdi. What is prob of picking 1 d and 3 e?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.121.\nAnswer: -0.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1897 + -686715\/362. Is 1 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544228803.\nAnswer: 3, 17, 59, 60289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:28 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 804 = 3776. What are the prime factors of k?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24006, -48073, -72140, -96207, -120274?\n\"Answer: -24067*p + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*v + 6*v - 36*v**3 + 6*v - v**2 + 2*v - 40*v in the form y*v**3 + d*v + s + j*v**2 and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -30*c - 1080. Let p be d(-36). Is p greater than or equal to -5\/791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.7 (b) -10\/23 (c) -0.5 (d) 3 (e) 1 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4951, 4951, 4955, 4963, 4975, 4991, 5011?\nAnswer: 5035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 4\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8409 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1614 in decreasing order.\nAnswer: 1614, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -3*v + 420. What is the common denominator of 16\/v + 2\/19 and 33\/50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 111289*w + 445151. Calculate m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -601c + 9?\nAnswer: -6013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - 51) + (1 - 0 - 0) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 1812?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1 + (1 - 1)). Let x be (-28 - 1)*(1 + c). Let a = -17 - x. 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: How many minutes are there between 11:11 AM and 9:23 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 - 71) + -9 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(11) + 4 - (sqrt(55)\/sqrt(5) + -4).\nAnswer: sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -98*n - 5. Let z(x) = 4*x. Calculate k(z(b)).\nAnswer: -392*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2. Let l(w) be the second derivative of -w**3 - 3*w. What is h(l(t))?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r + 845071 + 68*r - 845071.\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28157281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4432*m = 4434*m + 2*k - 14, -5*m + 79 = 9*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19646029*h*j + 2*h + 26781368*j with respect to h.\nAnswer: 19646029*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.7751 - -21.77366. Let d = h + -13. What is d rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -5 (b) -0.02 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbb. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23827213 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 3. Suppose -2*u + u = -9. Let k be 25 - 2*u\/v. Solve -5*a + 2*j + k = -2*a, -3*a + 27 = -3*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose g*v = 4*v - 8. Suppose 6 = -4*c + 4*f + 18, 4*c + 4*f + v = 0. Solve s + 5*i + 21 = 0, 3*s - 5*i - 18 + c = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 16.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 113449405 to the power of 1\/3, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2187)*-3.\nAnswer: -81*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 7*r + 7. Let f be a(-5). Let x(k) = 6*k + 4. What is x(f)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/24 (b) 2.5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*g - 810568 + 810568 + 309*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1799?\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/10 (b) 1 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1233*m**3 + 1632*m**3 - 776*m**3.\nAnswer: 2089*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9802350 bigger than -68616454\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/7, -4\/3, -3.1, -1\/2, -10 in ascending order.\nAnswer: -10, -3.1, -4\/3, -1\/2, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -64\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.7 - -5. Let q = -0.1 + 0.3. Let s = q + u. What is the biggest value in -0.2, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) -0.85 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y**2 - 20*y + 55. Let o(v) = 9*v**2 - 17*v + 54. What is 6*h(x) - 7*o(x)?\nAnswer: -15*x**2 - x - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28433 is divided by 232.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -69103142 divided by 2\nAnswer: -34551571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28296 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: Total of 58.40115 and 0.0301.\nAnswer: 58.43125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*n + 25, -3*m = -0*n + 4*n - 21. Suppose -n = -0*h + 3*h. Let j be 33\/36 - h\/(-8). Sort 2, j, -5, -0.1.\nAnswer: -5, -0.1, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1043155226?\nAnswer: 1043155226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 163094153 to the power of 1\/2, to the nearest integer?\nAnswer: 12771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (3*sqrt(68) + sqrt(68) - sqrt(68))*-2 + -6*-1*sqrt(68) + sqrt(68)*2 + -5)**2.\nAnswer: -1008 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 3*w = -1680. Suppose l + w = 2*f + 3*l, 4*l = -5*f + 419. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*w + 8 = 92*w. Solve -s - g = w, 2*s - 16*g = -12*g - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9408 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24762084 to the power of 1\/2, to the nearest integer?\nAnswer: 4976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 49.\nAnswer: -4, -3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/12 - 53*y**3\/3 + 107*y**2\/2 - 206*y - 2. What is o in c(o) = 0?\nAnswer: -107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - x - 2 = -0*x, -2 = -k - 4*x. Is (k - 3)*38\/(-1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/18)\/((-2)\/6). Suppose 3*l + 2*x = x + 12, 0 = -4*l + 2*x + 16. Suppose l*m - 13 - 7 = 0. Is p <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, d: 2, l: 4, t: 3, f: 1, k: 4}. Give prob of picking 1 k, 1 f, and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8846202757?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1136 = 276. Let w = 179 + u. What is the remainder when 138 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 393.2 + -343.2. Which is the closest to 2? (a) z (b) 0.2 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -206 + 228. Let z = 18.7 + 3.9. Let u = z - o. Which is the closest to -0.1? (a) -0.1 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*r + 4*s, -3*s - 1076 = -r - 1065 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-36) - (-329)\/63\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7805*g*m**3 - 57*g*m**2 - 2*m**3 + 4*m - 230373 wrt g?\nAnswer: -7805*m**3 - 57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 6. Let g(n) = -n - 2. Let u be g(-3). Let p(i) = -1. Let z(o) = u*y(o) - 4*p(o). Let c = 42 - 38. What is z(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j + 9 - 9 - 69*j + 31*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*u = 0, 0*u = -5*g + 3*u. Let x be g + 1 + -7 - -36. Calculate the highest common factor of 54 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3 = -3*m. Let v(u) = u**2. Let p be v(-2). Suppose -2*x + 26 = p*n, 4*x = n + 2*x - 14. Calculate the smallest common multiple of m and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 19\/(2261\/986) - (0 - 0)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92042168*g**4 + 2*g**3 - 1725*g**2 + 105760 wrt g?\nAnswer: 2209012032*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 1 = -3*v - 4*s, -4*s - 1 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(17*j**2 - 209*j**2 - 245*j**2) - 1 - j**2 + 1.\nAnswer: 436*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*z + 3)*(-590*z + 12 + 297*z + 290*z) to the form g + h*z + l*z**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 1 + 5. Suppose -48 = -4*y + g*d - 2*d, -60 = -5*y + d. Suppose 0 = 5*b - 76 - 44. Calculate the highest common factor of b and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6.4. Let f = -2 - -2.3. Let k = f - w. Which is the third smallest value? (a) -4 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1521324 and 2408.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 - -41. Suppose -29*c + 7868 = 7404. Calculate the remainder when i is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 81552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 20*m**2 - 3*m - 37. Let n be r(11). Let q = n + -78. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-68019)\/564 + 2 + -1. Let p = -19\/188 - j. Let u = p + -122. Put -4, u, 2\/17 in decreasing order.\nAnswer: 2\/17, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbvhbbaxvaa. Give prob of sequence ba.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from owwoooo.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 198*i**2*p**3 + i**2*p - 2*i**2 - 25*p**2 wrt p.\nAnswer: 1188*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6707, -7936, -9165, -10394, -11623?\nAnswer: -12852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 460.4749 tonnes in kilograms?\nAnswer: 460474.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1715, -1870, -2073, -2318, -2599, -2910?\nAnswer: -3245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 683*t - 7701. What is c(-12)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2114235917?\nAnswer: 2114235917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(931) + -1.\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 - q**2. Let x be s(1). Let a be (-8)\/(-2)*(-3)\/(-6). Suppose -a*f + 5*o = -19, 0 = -4*f - 0*o + 3*o + 3. Sort f, 5, x in descending order.\nAnswer: 5, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1754*y**2 + 3*y + 1307*y**2 + 1306*y**2 - 5666*y**2 - 3*y + 1300*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 13*i**3 - 6*i + 5 - 11*i**2 + i - 12*i**3 - i**4 + 3*i to w*i**3 + m + d*i + f*i**4 + r*i**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 3*h + 20 = -n, -2*n = -3*h - 4. Let p be h + 5\/5 - -3. Suppose 7 = 3*f - 11. Solve 2 = -r + f*t - 4*t, 4*r + t + 17 = p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + 11. Calculate the highest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3433 - 1.2.\nAnswer: -3434.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -18*t**5\/35 + t**4\/28 + 12*t**3\/7 - 3*t**2\/14 + 101*t. Suppose o(h) = 0. What is h?\nAnswer: -1, 1\/24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14560 and 780?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - -41.96. Let q = -45 - h. Let v = 80.2 + q. What is the smallest value in v, 4, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*d*w**2 - 10697*d*w - 2*d + 139*w**2 - 5*w - 11 wrt d?\nAnswer: -7*w**2 - 10697*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3420)\/(-50))\/(2 - 34\/20). Suppose 4*b - g + 208 = 0. Let q be 2\/9 - (-50)\/18. Solve -q*r = -b*y + 2, -3*y - 26 = 5*r - 0*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = 0, -5*z + 7*k + 802 = 3*k. Suppose -4*f + 3*m - z = 0, -3*f = 5*m + 13 + 123. Are -42 and f unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15*12\/(-27))\/(2\/3). Let k be x*(1288\/350)\/(1\/(-5)). What is k rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(((-15)\/14)\/(-15)). Let s = o + -88. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.073 - 7.203. Let a = 0.3 + -0.4. Let p = 0.1 + a. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u. Suppose j - 39 = 15*b - 18*b, -2*b - 94 = -2*j. Let m(q) = -j*q + 94*q - 48*q. Calculate h(m(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51937843, -103875670, -155813497, -207751324, -259689151, -311626978?\n\"Answer: -51937827*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {b: 1, r: 2, k: 3, a: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913441233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -480*i**2 + 572\/3*i**3 - 16*i**4 + 2\/5*i**5 + 450*i + 23. Factor n(a).\nAnswer: 2*(a - 15)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/5 + 327*j**2\/5 + 26568*j\/5 - 26896\/5.\nAnswer: (j - 1)*(j + 164)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 37. Let u(r) = 2*r**2 - 2*r - 11. Let l(z) = 3*z**2 - 5*z - 23. Let d(k) = t*u(k) - 2*l(k). What is the derivative of d(x) wrt x?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10 - 11*p - 11 + 7. Let f(c) = -7*c - 9. Determine -8*f(w) + 5*y(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5103 + -5170. Which is the closest to 3? (a) 2\/9 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 12:59 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5. Let n = 1.8 + -2.3. Which is the biggest value? (a) 3 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 235955 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + -33 + (-10 - -13)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4581 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n + 3 = 3*d, 0 = -2*n - 5*d - 9. Suppose 4*f = n*f + 119. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 29, 68, 109, 152?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -170617192.6.\nAnswer: -170617193.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 2*f + f**2 + (-4*f**2 + 2*f**2 + 0*f**2)*(3 + 2 - 3) + (-37*f + 5*f - 11*f + 1)*(-f - 2*f + 7*f).\nAnswer: -175*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 4, 8552, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eelkllle. Give prob of sequence kkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0*n**(-3\/7))**50)**(4\/13) assuming n is positive.\nAnswer: n**(-600\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 6729.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1.502, 3, 0.3, 6, 0.05?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/5 (b) -0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1, s: 2, i: 9}. Give prob of sequence zi.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(255\/119)*105*9\/27?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75*h + 39*h + 38*h - 15)*(1470*h + 1469*h - 20 - 2944*h) as c + a*h + k*h**2 and give c.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2) + -2 - 144. Let l be (o\/(-8))\/((-3)\/(-12)). Suppose 0 = -5*v, -4*z - 17 + l = 3*v. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnr when three letters picked without replacement from {f: 1, y: 1, c: 2, n: 1, r: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5183659.\nAnswer: 13, 181, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.38\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0 + 18. Let i be 2\/(-4)*(m - 4). Let v be 1*(7 + i)\/(-3). Are v and -2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 24, -283473 = -44*j + 41*j - 4*v. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7270.8721 rounded to the nearest ten?\nAnswer: -7270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6460 or 6461?\nAnswer: 6460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 0*i + 0 - 1\/24*i**4 - 1\/120*i**6 - 1\/60*i**5 + 2*i**2 + 11\/2*i**3. Is u(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/77 - (-3)\/21)\/((-165)\/110).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -50, -83, -116, -149?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -371 + 393.08. Let i = -0.78 + b. Round i to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738259480 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*108\/12312*(-3)\/((-9)\/(-2))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a434a (base 13) to base 4\nAnswer: -1020000313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l + 47 = -49 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000011001111011100011 - 10010?\nAnswer: -110000011001111011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*c**4 - 2\/7*c**2 + 4\/7*c + 0 - 4\/7*c**3.\nAnswer: 2*c*(c - 2)*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -584 and -146106.\nAnswer: -146690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1920*b**2. Let l(j) = 2429*j**2. Determine l(k(f)).\nAnswer: 8954265600*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 487 - 135. Calculate the highest common divisor of 64 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3095620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02953, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 992157612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45 - 631d?\nAnswer: -62d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/74055603 or 1?\nAnswer: -2\/74055603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 22 = -4. Find the common denominator of 3\/(-3) + (-83)\/20 and 4\/j + 101\/(-18).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = 14. Let m be 10\/(-1)*(-4)\/l. Let t be (-2)\/m - 26\/(-40). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/5 + 1107*k**3\/5 + 888*k**2 + 4444*k\/5.\nAnswer: -k*(k - 1111)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Let n be w\/(2\/4*3). Let z be n\/(-4) - 34\/(-4). What is the greatest common divisor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -424 less than -467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1782.193 to the nearest ten.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5981819*p**5 - 3091938*p?\nAnswer: 119636380*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-111 + 345 + 1068)*((0*l + 0*l + 2*l**2)*(0 + 0 - l) + l**3 - 3*l**3 - 3*l**3) to w*l**3 + r*l**2 + n + a*l and give w.\nAnswer: -9114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -6. Find the second derivative of -3*f**4 + 0*f**4 + 2*f + s*f wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (10\/(-5))\/2 - 258\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 202 - -48?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 1 + 2. Suppose -p - t + 0 = -3, 3*t - 10 = -4*p. Let u be (p\/i)\/(2\/30). Solve -r = -0*r + j, u*j = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**4\/24 + 10*n**2 - 23*n. Let m(d) = 9460*d**2. What is m(k(i))?\nAnswer: 9460*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 31*f = -64, 5*n - 162*f = -158*f + 59 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.23 + -2.23. What is the closest to -1\/4 in o, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/8*((-9)\/4)\/(-9*40\/(-384)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60088 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/((q*q*q**2*q*q*q)\/q*q)*q\/(q**(-4)\/q)*q*(q\/q**(-1\/3))\/q*q)\/(q**(-1\/3)\/q**(2\/7)*q\/((q**(-1\/3)\/q)\/q)*q*(q\/q**(-4\/9))\/q) assuming q is positive.\nAnswer: q**(-178\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -123, -47, 79, 255?\n\"Answer: 25*u**2 + u - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63100 divided by -2?\nAnswer: -31550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 0*g - 1 + 3 - 1. What is the lowest common multiple of 4 and x(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - a + 27, a - 12 = 4*q + 9. Let y be 1\/(-2) + q\/(-4). Is 1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2562, 1272, -900, -3972, -7962, -12888?\n\"Answer: -3*x**3 - 423*x**2 + 2988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1304*i - 119. Is n(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 32\/25015?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*8*(-6)\/30.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 308404980 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 + 353. Is 52 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 14. Calculate l(31).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/9 and -47\/5476?\nAnswer: 49284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 - (6\/15 + (-816)\/(-2380))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -12. Suppose 2*g - 3*y = 344, -j*g + y + y = -696. Is g a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:12 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -8. What is the remainder when b + (-1)\/(-2)*-2 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42662 less than or equal to -271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 8*f - 4. Let v be a(4). Suppose -3*i - i = 5*z - 41, 3*i - v = 0. Suppose -t + z = 3. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-42) - 2\/7) + 18. Suppose -3*g - 3*r = -15, 2*g + 0*g = -r + 9. Solve 14*n + g = x*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9630965 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 9\/13 (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 - 2*w**4 - 2*w**4 + 3*w**2 - 3*w**2 + 2*w**4 + (-w + 2*w - 2*w)*(-2*w**3 + 0*w**3 - w**3) + (9*w**4 - 19*w**4 - 10*w**4)*(6 - 2 + 0).\nAnswer: -77*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -596*j + 593*j + 9, 4*j + u - 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -863.4242 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3096, 4493, 5890, 7287?\n\"Answer: 1397*z + 1699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -449, -913, -1377, -1841, -2305, -2769?\n\"Answer: -464*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52706*i**3\/9 + 31844*i**2\/9 + 1448*i\/3 - 16.\nAnswer: 2*(19*i + 6)**2*(73*i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-55)\/15 - (6 - 6). Find x, given that g - 2\/3*x - 2\/3*x**2 + 2\/3*x**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 107736*x - 53798*x + x**3 - 53642*x as n + p*x**3 + r*x**2 + q*x and give q.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 7*j**2 + 8*j + 16. Let v be a(-6). Suppose -v*w + 22 = -2*w. What is the least common multiple of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96620466 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let h be s(-1). Let m = -271.3 - -271. What is the closest to h in -5, -1\/3, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*w + 2 = -2*t, 13 = 2*t - 5*w. Is t smaller than 1\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89 - (-36 - (-30 + -60)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 35 - 5*z**4 + (-4*z**3 + 0*z**3 - z**3)*(3*z + 4*z - 3*z) to j + l*z**2 + d*z**3 + c*z + r*z**4 and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -174.4 + 207.14. Let q = 33 - g. What is q rounded to 2 decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*h**4 + 3*h**2 - 2369*h.\nAnswer: 132*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*v)**(1\/50)*(v**(-1\/2)*v)**(-1))**(2\/9) assuming v is positive.\nAnswer: v**(-22\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from {k: 5, h: 3, x: 1, j: 6}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n + 0*n**2 + 3 - n**3 + 9 - 5 - n**2. Let m be p(-4). What is m rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-52)\/(-455))\/(6\/405). Which is bigger: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 499.86122 to the nearest integer.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**4\/6 - 3*c**3\/2 + 25*c**2 + 1. Calculate d(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 9*j**2 - 20*j - 23. Let w be a(11). Let z be (-9)\/(-54) - (-14)\/(-60)*w. Let c = -241\/5 + 48. Sort 0.06, z, c in descending order.\nAnswer: z, 0.06, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + 9 - (85 - 121).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -340?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/12 - 2\/(-3). Suppose -2*v + 5*n - f = 0, 3*v = -3*n + n + 16. Let q be (v\/(-6))\/((-4)\/24). Is 3 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*p**3 - 3775*p**2 + 13602*p - 12 wrt p.\nAnswer: -570*p - 7550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -25*t**2. Let d(s) = s - 1. Let a(n) = -7*n + 5. Let k(g) = a(g) + 5*d(g). Give k(i(m)).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p + 57. Let u be g(6). Let s be (3\/u)\/(242\/165). Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -27491\/79 + 348. Let z = -1345\/158 + t. What is the common denominator of 103\/10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a406 (base 14) to base 16.\nAnswer: -51ec6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 3*w + 8*w)*(74 + 64 + 254).\nAnswer: 1960*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 32, 5 in decreasing order.\nAnswer: 32, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 + 1)*(8 - 1 - 54) - 2 - 1 - 5 + (-2 - 2 + 2)*(3 + 1 + 1))*(2*t - 3*t - t) in the form d + g*t and give g.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68947 + 28829 = -1008*r for r.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(5) - (sqrt(5) + -2 + 0)) + sqrt(5) + sqrt(20) + sqrt(20)*-3 + 5*(sqrt(5) + 6*sqrt(10)\/sqrt(2)) + sqrt(15)\/sqrt(3)*6 + -3)**2.\nAnswer: 228*sqrt(5) + 7229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7*11\/(-539)*-5\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 7. Let r be o(-5). Suppose 5*k + 5*l + 2 = -13, -3*k + 6 = -r*l. What is k rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(a**2 - a + a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 5*s + 6. Let g be i(5). Let h be g\/(-5) + (-12)\/15. Factor q + h*q**2 - 3*q**3 + 3*q**2 + 8*q.\nAnswer: -3*q*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 4*f**2 - 4*f + 7. Let i be z(-5). Suppose 0 = -2*h - i*h + 84. Calculate the remainder when (24\/5)\/((-164)\/(-2050)) is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 16. Suppose -3*q - 4*k + 17 = -9, 3*k = -2*q + 19. Put n, -3, q in descending order.\nAnswer: n, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1053) - sqrt(1053)*-2) - (-2*sqrt(1053) + 1))**2.\nAnswer: 234*sqrt(13) + 177958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75ac1 (base 15) in base 5?\nAnswer: 43424211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -136.33163221387 plus 0.3?\nAnswer: -136.03163221387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*k**2*r**3*w**3 - 2*k**2*r**3 - 2*r**3 - 140*r*w**3 wrt k?\nAnswer: -26*k*r**3*w**3 - 4*k*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -205 - -5?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4770 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -71*n. Let d(q) = -1 + 1 - 12498107*q**2 + 12498092*q**2. Calculate d(a(v)).\nAnswer: -75615*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, h: 4, y: 8}. What is prob of sequence wh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68\/155 + -5\/31. Suppose -i - 2*s + 25 = 3*s, i + 3*s - 15 = 0. Suppose i = x + x + 2. Which is bigger: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38\/35 (b) -0.5 (c) 2624\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -44217\nAnswer: -2210.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 3*u**2 - 3*u + 3. Let d(c) = 2*c**3 + 8*c**2 - 8*c + 8. What is -3*d(a) + 8*t(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 = -p - 4, 5*p + 4*j + 17 = 0. Let q be 17\/(-12) + 2\/(-6). Which is bigger: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:55 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -14*r**3 - 2*r**2 + 1. Let f = 73 + -79. Let p be -2 - (f - -5)*-9. Let q be (p\/22)\/((-2)\/(-4)). What is x(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35993 - 35991. Sort x, -146, 3 in increasing order.\nAnswer: -146, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273375*x**5 - 9586350*x**4 - 79733970*x**3 + 5343972*x**2 - 118965*x + 882 = 0. What is x?\nAnswer: -7, 1\/45, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 7. Let d = l - -23. Suppose u - 2 = 2*b + 4*u, 5*u = 2*b - 14. Solve -b*s = 5*c - 3*s, c = 4*s - d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213333 - -3112?\nAnswer: -210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77001, 76895, 76787, 76677?\nAnswer: 76565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53\/2 - -27. Let g = -166\/483 + 4\/69. Which is greater: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b = -12*b - 1032. Let c = b - 126. Solve -9 = -2*l + j + c, 18 = 4*l + j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1506, 1376, 944, 60, -1426, -3664, -6804?\n\"Answer: -25*u**3 - u**2 + 48*u + 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 89 = -g - 12, -34 = -2*c - 5*g. Let z be (-2)\/6 - (-117)\/c. Solve z*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {z: 10, t: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + 2.96. Let i = -0.04 + 0.34. Which is the biggest value? (a) q (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 21555?\nAnswer: 21561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.8 + -9.4. What is c rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1628 - 1633. Let h = 3.9 - -0.1. Which is the second smallest value? (a) h (b) 0.3 (c) u (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5)*(3*q + 0*q - 2*q) + 0*q - 3*q + 5*q - q + 2*q + q + (2*q - 4*q + 3*q)*(-88 - 32 - 2) as g*q + h and give g.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**2. Suppose 0 = 5*d - 112 + 42. Let g(x) = -14*x + d*x + 3*x**2. What is g(v(l))?\nAnswer: 108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-p**3 - 2*p + 2*p) - 3*p**3 + 3*p**3 + 2*p**3 + 89*p + 2*p**3 - 2304 + 2304.\nAnswer: 5*p**3 + 89*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/20 - 3*z**4\/4 + 7*z**3\/6 - 3*z**2\/2 + 62*z. What is d(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a centimeter?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 0*r**3 + 0*r**5 + 0*r + 0*r**7 + 19\/336*r**8 + 0 + 0*r**6 + r**4 - 23*r**2. What is the second derivative of o(x) wrt x?\nAnswer: 380*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 = -u - 3*t, -3*u - 2*t = -2. Suppose -h - u = -3. Let w be h - (48\/21)\/4. What is the second smallest value in -1\/2, w, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -24. List the prime factors of ((-9)\/12 + 1)\/(l\/(-16484)).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 63*n - 66*n, -5*j - n - 7 - 13 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3950, -7970, -12052, -16202, -20426, -24730, -29120, -33602?\nAnswer: -38182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180491.\nAnswer: 3, 13, 30269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 15. Let i be (q + 1)\/(1\/2). Suppose -i*t = 2*j + 2*t - 6, -j + 4*t = 3. Solve -j = -2*o + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 - 59*i + 61*i + 0 - 7*i**3 + 4 in the form n*i + y*i**2 + u*i**3 + l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068*b + 1102*b - 29 = 39. Factor 0 + 0*u**b - 1\/10*u + 3\/10*u**3 - 1\/5*u**4.\nAnswer: -u*(u - 1)**2*(2*u + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/7)\/b*b\/(b**(-10)\/b)*b assuming b is positive.\nAnswer: b**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 1\/3, -0.77, -2\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 35 = 2*n. Suppose 0*v + 3*v = n. Suppose 2*s - v = -0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (60\/(-25))\/(6\/(-40)) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, l: 2, e: 1, n: 4}. What is prob of sequence zlle?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491.7127 weeks to microseconds.\nAnswer: 297387840960000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -250, -301, -386, -499, -634, -785, -946?\n\"Answer: r**3 - 23*r**2 + 11*r - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2852 and -107\/14?\nAnswer: 19964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40614?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135170762*a**2 + 106643963 wrt a.\nAnswer: 270341524*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17890, 35853, 53816, 71779, 89742?\n\"Answer: 17963*r - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 107*p - 6552 = -22*p. Solve 8*t - p*t = -264 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5*8\/(-100))\/((-2)\/570). Solve -x + 124 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62404289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451192?\nAnswer: 2, 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(4212)*-3 - sqrt(4212)) + sqrt(4212) + (sqrt(208)*1 - sqrt(208)))\/(3*((2*sqrt(144) - sqrt(144)) + sqrt(64)*2)).\nAnswer: -9*sqrt(13)\/14 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/5 - 17468*c**2\/5 + 19096864*c\/5 - 57133488\/5.\nAnswer: 4*(c - 2182)**2*(c - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*t + 40 - 40)*(-1336 + 667 + 664 - 12*t) to v*t**2 + g + m*t and give m.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 + (-8 - -4) - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1953, 3461, 4973, 6495, 8033, 9593?\n\"Answer: d**3 - 4*d**2 + 1513*d + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 5\/(-1) - -4. Let o be (99\/p)\/(-3)*2. Let c = o - -16. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 815*w + 224*w + 907*w - 249*w - 189*w.\nAnswer: 1508*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70219 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16119*n - 16106*n + 26 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2475401142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 16. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Suppose -74 = -3*p + 5*m, -15 = -4*p + 2*m + 65. Let d(a) = -p*a + 8*a + 8*a. Give d(b(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 12) in base 6?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1214188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from howwwullwluhqhwww.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 9) to base 2\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -2. Let b = 279.8 - 279.82. Let u = 1.5 - 2. What is the smallest value in p, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 3 + 17*q - 4 - 3*q**4 - 21*q to the form m*q**2 + n*q**3 + h*q + x + w*q**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 66420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 18*s - 49. Determine d(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/224 and 121\/5920.\nAnswer: 41440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(14 + 6\/(-12)*16). Let g(p) be the second derivative of -1\/10*p**6 + 0 + 9\/20*p**5 + x*p**2 - 3\/4*p**4 + 12*p + 1\/2*p**3. What is a in g(a) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -572456, -572454, -572452, -572450?\n\"Answer: 2*y - 572458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -219713 in 0.1, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*i + 6139*i + 185*i = -5392*i + 752142 for i.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - 70\/(-7))\/(1\/(-47)). Is d*(80\/15)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -293 - -295. Suppose -y*r - 7 = -r + 5*g, 2*g + 4 = 0. Find v, given that 1\/2*v + 0*v**2 + 0*v**4 + 0 - v**r + 1\/2*v**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -140\/13 in 1\/4, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2 + 6*l**2 - 9*l**2. Let i(r) = -6*r**2. What is q(i(b))?\nAnswer: 144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/1)\/(-2 - -4). Let w = 6 - f. Let y be 1\/3 - (-4)\/w. Solve 0 = -x + y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282 equal to 797494\/151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 - 177. Do j and 180 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640*j - 1904*j + 637*j + 622*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3536 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: Sort -8, 0, 1, -448, -1 in decreasing order.\nAnswer: 1, 0, -1, -8, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000068115966 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 + 1.6. Sort 8, 4\/5, g in descending order.\nAnswer: 8, g, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssassasas. What is prob of picking 1 a and 3 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/4 + 11*d + 7. What is the tens digit of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = 2*y. Let f(z) = 1 - 651*z + 5 + 650*z. Let r(d) = d + 1. Let h(c) = f(c) - 4*r(c). Let k(t) = t. Give y*k(g) - h(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*i*j**3 + 102996*i*j**2 - 55774*i*j + 5*j**4 + 1 wrt j?\nAnswer: -48*i*j + 205992*i + 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 10:09 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let z(k) be the first derivative of -2*k**3\/3 + 9. Calculate j(z(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3 - i - 6 + 0*i - 4. Let z = -11 + 0. Let k be g(z). Solve -k = 2*v - 0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a tonne in kilograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 17175178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (((sqrt(2178) - (sqrt(2178) + -1)) + sqrt(2178))*3 - sqrt(2178))**2 + 0.\nAnswer: 396*sqrt(2) + 8716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 0 + 3\/2*o**2 + o**3 + o. Let a be h(10). Round a to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29112 - -6259091\/215. Calculate the common denominator of c and -91\/258.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.471301 nanograms in grams?\nAnswer: 0.000000000471301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106218 + 1488643\/14. Which is smaller: 114 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*g - 3 - 1, -2*g - 19 = 3*z. Let j = -42 - z. Let t = j - -59. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -675 + 690. Sort 2\/3, 0, g.\nAnswer: 0, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19457773*a - 822448?\nAnswer: 19457773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**4\/4 + 35*c**3 + 396*c**2 + 1042*c. Let p(a) = 0. Calculate a.\nAnswer: -66, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 z when three letters picked without replacement from {j: 2, z: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdjtddqqzqqqt. Give prob of sequence tzt.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/4 + 71*h**2\/4 + 97*h\/2 - 170 = 0 for h.\nAnswer: -68, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 1577?\nAnswer: 11039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and -0.5382.\nAnswer: -11.5382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -142*a**2 + 18*a - 15. Give d(1).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -148 and 99894.16422.\nAnswer: 99746.16422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:40 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9288.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + 2*k)*(874*k - 610*k + 1 - 4)*(k**2 + 0*k**2 + 0*k**2).\nAnswer: 792*k**4 - 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 81. Suppose -z = 2*o + 20. Let k = -11 - o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -13*n**5\/20 - n**4\/12 + n**3\/6 - 2*n**2 - 21. What is r(1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 - 29*r**2 - 4*r - 17. Give y(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 35. Let z = i + -10. Solve 2*x - 2*b + z = x, -4*x + 15 = b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36729)\/(-27) + (-6)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13579 + 13847. What is the smallest common multiple of 36 and h?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3097780 and 40.\nAnswer: 6195560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + 37 + (6 - -3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**5\/60 - c**4\/2 + 13*c**3\/6 + 12*c**2 - 2*c + 82. Suppose 0 = -5*w + 28 + 17. Give a(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2670, 1.8, 5 in descending order.\nAnswer: 2670, 5, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(112).\nAnswer: -12*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 12:52 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.0915 - -0.421. Let v = h - -0.0005. Round v to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 120604, 241271, 361938, 482605, 603272, 723939?\n\"Answer: 120667*h - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((2 - 2) + 3 + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 22 = 7*n - 6*n, -3*n - 6 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 246961780013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and -883543.\nAnswer: -883550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/52*(-2)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4571645, -4571663, -4571685, -4571711, -4571741, -4571775?\nAnswer: -4571813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -67 + 56 + -23 + (-22 - -11)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18017393 or 18017392?\nAnswer: 18017392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42828620 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a day in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/((0 + -1)*1) - -2. Suppose 30 = 5*i - f. Let v = -421 + 432. Calculate the least common multiple of i and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 21 + 11 - 31 - 2*m**3.\nAnswer: -4*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 7*p**5\/4 + p**3\/3 + 33*p**2 - 56*p + 1. What is the first derivative of z(b) wrt b?\nAnswer: 105*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101100100111 - 0?\nAnswer: 101101100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(108) + -2 + -3 + sqrt(108)*-3*5))**2.\nAnswer: 7560*sqrt(3) + 190737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-4 + sqrt(171) + -1 + -4)*-5 - (sqrt(171) - -1*(sqrt(171) - (sqrt(171) + sqrt(171)*3)) - (0 + sqrt(171) + -3)))**2.\nAnswer: -504*sqrt(19) + 2445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-4641))\/((-17)\/(-119)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3 + 18872*k - 18866*k + 3. Let a(f) = f**2 + 11*f. Calculate -4*a(d) + 7*l(d).\nAnswer: -4*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 5. Suppose -2*l - 8*m + 9*m = 7, l + 2 = m. Let k(f) = 2*f - 5. Give l*p(v) + 4*k(v).\nAnswer: -2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -1. Let k be (3*t + -1)\/1. Let f be ((1\/(-7))\/1)\/((-1697)\/35637). Solve -f*r + k*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -27. Suppose 18*f = 20*f - 4. Suppose 3*k + 8 = f*k. Is k greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 273702*i**3 + 14 + 273707*i**3 + i - 14.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, k: 2, p: 3, t: 8, c: 2}. What is prob of picking 2 g?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 12592320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40379732 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*z + 17, 7 + 2 = -3*z. Let q = j - -8. What is y in -2*y + y**2 - 4*y**2 + q*y + 2*y**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (100\/150)\/(4\/18). Suppose d*n + 17749 = -5*q + 10*q, 2*q = 3*n + 7096. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 221*v + 8632. Determine n(-39).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 10053?\nAnswer: 20106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 - 45*u**2 - 30*u - 86. Give l(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55209 + -26049. Let w(p) = -2*p**2 - h*p + 29160*p. Let b(n) = 23*n**2. Give w(b(y)).\nAnswer: -1058*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 = -5*t, 2*t = -3*q + 11. Suppose -2*x - 9 = -3*u + x, 0 = -q*u - 2*x + 8. Which is the closest to 2? (a) -2 (b) u (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 10*i**2 - 10*i + 13. Let r be o(9). Let w be 8\/(-10)*(-10)\/r. Let n be 15\/10 + 8\/16. Is w bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 11) in base 7?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)\/(q*q\/q**(-1)))\/(q\/(q**(-2\/11)*q)*q**(-1\/2)) assuming q is positive.\nAnswer: q**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 39. Determine d(-21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*o + 54 = 0, -6*l + 11*l - 125 = -5*o. Let h(a) = a**2 + 5*a + 3. What is the remainder when l is divided by h(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v - 3. Let k(n) = -3*n - 1. Let j(c) = 9*k(c) - 4*t(c). Let u be j(-3). Solve u = 3*q + 5*p - 14, -4*q = q + 3*p - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29\/6 of a week?\nAnswer: 812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**4 + 6168*c**3 + 12268*c**2 - 80040*c + 61600 = 0.\nAnswer: -1540, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -18, -4\/7, -2\/83, 176?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 137, 0.\nAnswer: -4, 0, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 829 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 11 = s, 24*k = 19*k + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 4 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19623119 and 19623119.\nAnswer: 19623119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64 and -0.27.\nAnswer: 17.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, r: 3}. What is prob of sequence drrr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + (sqrt(252)*2)**2 + ((sqrt(252) + 0)*1)**2 + 3*((1 + sqrt(252) + 1*sqrt(252))**2 + sqrt(252) - (sqrt(252) + sqrt(252) + 0 + 5)))*-5.\nAnswer: -21390 - 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 4790792.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7454 and 518.\nAnswer: 3861172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7018597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*n**5 + 296*n**4 - 404*n**3 + 16*n**2 = 0. Calculate n.\nAnswer: 0, 2\/49, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7735 = -5606475*y + 5606560*y for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5)*0 - -1) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-4*(sqrt(1053) + 1) - sqrt(1053)*1*-1) + 3)**2 + 0)*4.\nAnswer: 11232*sqrt(13) + 607204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 2*d = 8, 47*j - d + 14 = 279*j - 6*d - 400 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(468) + sqrt(468)*4 + -2 - (-3 + -1*sqrt(468) + ((sqrt(468) - (sqrt(468)*-1 - sqrt(468)))*-4 + sqrt(468) - sqrt(468)) + sqrt(468)))**2.\nAnswer: 204*sqrt(13) + 135253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, r: 4}. Give prob of picking 1 i and 1 r.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-10))\/(1\/(-10)). Suppose 121 = -20*o + 21. Let a be l\/(-6) + o\/(-15). Solve i = 3 - a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 1889.\nAnswer: 219124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = w - 37. Suppose 3*x + w = -38. Let a = -16 - x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1425 or -1428?\nAnswer: -1425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 64. Let u(v) = v**2 + v - 28. Let n be u(t). Suppose 0 = -4*a - 4, -5*j - 3*a - n*a = -875. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = -u - 31479, -78660 = -5*n - 5*u. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in -0.3, -1600, -1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 - 256 = -2*a, z = a + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2403 (base 9) to base 5.\nAnswer: -24120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/7)*c\/(c\/(c\/(c\/c**9)*c))*c**(-2\/5)*c*c**(-1\/3) assuming c is positive.\nAnswer: c**(1048\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2 - s + 1. Suppose 7 = 7*h - 0. Determine w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y + 293*y**3 - 595*y**3 + 49 + 297*y**3 - 49.\nAnswer: -5*y**3 - 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 r when four letters picked without replacement from {n: 2, p: 3, r: 10}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9626.124mm to micrometers.\nAnswer: 9626124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**4 - 144*l**2*p + 38*l**2 - l + 7959*p + 6 wrt l?\nAnswer: -4*l**3 - 288*l*p + 76*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**3 + 4*w**3 - 3*w**3)*((3 - 2 + 0)*(-w - 5 + 5) + 9*w - 2*w + 2*w + 4*w + 2*w - 4*w) to the form v*w**4 + i*w + j*w**3 + f + d*w**2 and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*q - 3269*q**2 + 159*q + q**3 + 155*q + 2 - 1263*q**2.\nAnswer: q**3 - 4532*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c*f*h*v - 2*c*f*v - 4*c*f - c + 21*f*v - 23*h*v with respect to h.\nAnswer: -5*c*f*v - 23*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -12073*x + 111. Let p(l) = l. Calculate p(w(y)).\nAnswer: -12073*y + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 - 1 + 3)*(-2*b + 2*b - 2*b**2).\nAnswer: 146*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 + 634\/8. Suppose g = o + 77, o = -3*g + 2*g + b. Suppose 0 = -0*z + 3*z - g. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121617183 divided by 1?\nAnswer: -121617183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 4*m - 3. Let w be c(3). Let s(y) be the first derivative of y**3 + w*y - 1 - 3\/2*y**2. Find the second derivative of s(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)*q**(-9) assuming q is positive.\nAnswer: q**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -119*h + 99. Let f(t) = 355*t - 296. Let x(u) = 6*f(u) + 17*n(u). Let p be x(2). What is the highest common factor of 33 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7756954365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8199991 is divided by 816.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 17*o - 7. Let b = 968 + -952. Calculate p(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2) - (-27)\/(-15). Which is the second biggest value? (a) -0.5 (b) m (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(-2 + 4 - 4)*(0*o - 2*o - 5*o).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 2, 0, -13 in ascending order.\nAnswer: -13, 0, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 9:41 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, 0.01, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 318 - -538\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4048.02 centuries?\nAnswer: 4857624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 8) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/7, -3, 4 in descending order.\nAnswer: 4, 5\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 4\/2 - 2. Let u be (v\/(-4))\/(2\/240). Suppose 41 + 19 = 3*y. What is the greatest common divisor of y and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443, -494, -545, -596, -647?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 60 + 506*n**2 + 104*n - 104*n.\nAnswer: 506*n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 45099432?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*(27 - (-10164)\/(-374))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(226*v - 4*v + 76*v) - 2*v + 2 - 2 + (1 - 1 + 1)*(-3 - v + 3) - 2*v - 4*v + 4*v - v - 3 + 3 - 3*v + 0*v + v + 0*v - 2*v + v.\nAnswer: 289*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -96800 >= -96790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -877, -872, -863, -850, -833, -812, -787?\n\"Answer: 2*f**2 - f - 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 4610?\nAnswer: 18440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 557, -21, -3600 in decreasing order.\nAnswer: 557, -21, -3600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3, 2\/5, -4 in decreasing order.\nAnswer: 2\/5, -1\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/9 in 4, 2, -0.2, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -2 - -1*165\/(-22)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -17\/68319?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-2)\/6*-3. Let t be (-16)\/(-2 - (-3 + 3)). Let m(a) = a - 5. Let x be m(t). Solve 4*p + 24 = -n*b, 2*p + x = -3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:09 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-12 - -13) + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 4 - 4)*(8106 - 2189 - 3503 - 16718 - 13538).\nAnswer: 27842*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35286614?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 - 66*v**2 - 55*v**3 + 74*v**2 + 27*v**3.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + -1*(sqrt(396) + 2 + sqrt(396))**2 - (4*(-3*sqrt(396) + 2 + sqrt(396)))**2).\nAnswer: -26999 + 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/4 (b) 2\/7 (c) -8 (d) 0.5 (e) 0.2 (f) 58\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 0*q**3 + 2*q**3 + 4 - 4*q. Let w(v) = -4*v**3 + 5*v - 5. Let f(z) = -z**3 + 10*z**2 + 2*z - 16. Let a be f(10). What is a*w(i) + 5*n(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-2\/5)\/k)*(k\/(k\/(k*k*k*((k\/(k*(k**(-7\/5)\/k)\/k*k*k))\/k)\/k*k)*k*k))\/k*(k*k**(3\/2))\/((k\/(k\/(k\/k**4)))\/k) assuming k is positive.\nAnswer: k**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117 + 248. What is the remainder when 2225 is divided by t?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 - 7*v + 12. Let a(j) be the first derivative of j**4\/4 + j**3 - j - 18. Let f be a(-2). Is 9 a factor of i(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**4 - c**2 + c + 1. Let m(h) = -37*h**4 - 5*h**2 - 89*h + 2. Let y(k) = 3*b(k) - m(k). What is the second derivative of y(r) wrt r?\nAnswer: 480*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16125387*l**5 + 422*l - 5387.\nAnswer: 322507740*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 - 184. Put 4, 14, q in decreasing order.\nAnswer: 14, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/15 + (-162)\/(-90). Suppose 68*w - 41*w - 28917 = p. What are the prime factors of w?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -60624, -8.53, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*i - 2*i - 32, x - 12 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -19.8?\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x - 9. Let r be u(3). Suppose -3*y - r*y = 0. Suppose 0 = -2*i + 2, -3*v + y*i + 2072 = 5*i. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2605 = -44*d + 2077 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -589\nAnswer: -47.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**18)\/a*a)\/(a\/a**(4\/7)))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(-2 + (sqrt(162) - (0 + sqrt(162))*1))**2*-5 + 1.\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*i**4 + 570264*i**3 + 1697315763*i**2 + 21149666100*i + 66023167500.\nAnswer: 3*(i + 5934)**2*(4*i + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -305*a**4\/24 + 37*a**2 - 4*a. Let u(n) = -n**2. Determine x(u(p)).\nAnswer: 305*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 + 155 + -17 + 5?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from -6625.32.\nAnswer: -6626.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*c**2*n**2*o**3 + 4979694*c**2*n**2 + 2*c*n**2*o - 8*c*n**2 + 438*c*n*o**3 - 2*n*o**2 + 62*n + 2 wrt c?\nAnswer: 28*n**2*o**3 + 9959388*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102*281\/(-42993))\/((4\/57)\/2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*p - 342*p**2 + 15*p + 84*p**2 in the form r*p + z*p**2 + s and give z.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*i = -3*i - 7, -5*j - 5*i + 5 = 0. Calculate the least common multiple of j and 6\/(-5)*6*(-50)\/18.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 3, -0.3, 52 in ascending order.\nAnswer: -0.3, -1\/9, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 166.5.\nAnswer: -166.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11516 + -0.095. Let h = l - 219.72016. Let v = h - -211. What is v rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 3:49 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(1700)*4 - sqrt(1700) - (-2 + sqrt(1700)*-2) - (1 + 4 + 2*sqrt(2448)))**2.\nAnswer: -792*sqrt(17) + 148122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -t, a - 4*a = 3. Solve -s - 19 + 7 = t*k, k + 4 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvv when three letters picked without replacement from {v: 7, g: 7}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 609335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -9. Let m(b) = -b + 9. Let w be m(6). Suppose -q*l + 10 = w*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 0.1, -35, -1\/4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 + 21 + 18*m + (0 + 2 - 3)*(2*m + 0*m - m) + (-2*m - 2*m + 3*m)*(4 + 0 - 2) + 1 - 1 - m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -3. What is the second derivative of i - i**4 - 4*i + i**l + 3*i**4 wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 - (-20)\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let u(i) = -i. Let z = 5 + -8. Give z*u(x) + c(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*p + 52*p - 361 = -55 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 2*k - 4*k - 9*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p + 3*k - 2*k, -5*p + 2*k + 18 = 0. Solve 0 = 4*y - p*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-30))**37)**(-1\/3) assuming h is positive.\nAnswer: h**370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(832))**2*-5 + -1) + (5*(sqrt(832) + 0)*4*4)**2.\nAnswer: 5345605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (6 - -2) - (2 + -8 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 2 + (-3 - -5). Suppose -s*b + 145 = -21. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, -44711, -3\/73?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1810680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 78, 159, 270, 411?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/3))**(-12\/17)\/(t*t**(2\/7))**(-21))\/(((t**(-1\/2)\/t)\/t*t\/(t*t**2)*t)\/(t**2*t**2)) assuming t is positive.\nAnswer: t**(1141\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2. Let s(t) = 320*t**2 + 1403*t + 1. Determine s(h(b)).\nAnswer: 2880*b**4 + 4209*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, -18, -33, -54, -81, -114?\n\"Answer: -3*f**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-35)\/70*(-2 - 143 - -1). Calculate the greatest common divisor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1544 + -1167. What is the lowest common multiple of 104 and h?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/6)\/u**(-1)*((u**(-2\/3)\/u)\/u*u*u)**(7\/5))**(-27) assuming u is positive.\nAnswer: u**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 63*d + 317. Let b be v(-5). Suppose -2*j - 508 = -b*u, -5*u - 250 = -6*u - j. Is 28 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.049 in 0.1, 4\/9, -0.14, -2, -0.0504?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(48) + 4 + -4)**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2457 - -4052. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(19\/57).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 8240 = 404*l for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 3\/1)\/1. Let o be (15\/28 + 3\/(-6))\/5. Let p = -41\/140 + o. What is the nearest to p in g, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y - 11. Let k be f(-4). Which is the second biggest value? (a) k (b) 0.01 (c) 0.1 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 11 + 5 = 0. Suppose -20*v + 15*v + 245 = 4*t, 0 = -v - t + 48. Which is the second biggest value? (a) v (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-11)))\/v**(12\/5) assuming v is positive.\nAnswer: v**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -98*p. Let a(j) = -11*j. Let r(m) = 35*a(m) - 4*o(m). Let c = -13 - -17. Let s(n) = 2*n - n - c*n + n. Determine s(r(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b - 8. Let x(j) be the second derivative of -j**2\/2 - 3*j. Let r(n) = h(n) - 8*x(n). Let c(o) = -o - 2 + 2. Give c(r(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 5)*(-3*b + 0*b + 5*b) + 56216*b - 23012*b - 27280*b to the form g*b + n and give g.\nAnswer: 5922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 828386 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 14*n + 42. Let w be r(-11). Differentiate q**3 + 15 - 53 - 32*q + w*q - 18 wrt q.\nAnswer: 3*q**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -101111?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111001101101 (base 2) in base 3?\nAnswer: 101200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/45 or 1?\nAnswer: 17\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-6*1 - -2). Suppose 3*v + 11 = -2*m, 2*v + 2*v + 2*m + 14 = 0. Let g = v - w. Solve -g = 3*u - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 1.5 (c) -2\/3 (d) 3 (e) -0.47 (f) -1\/2 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {h: 3, p: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*n + 29, 5*n + 12 = 4*n - 4*g. Let y(f) = f**3 + 9*f**2 + 8*f + 6. Determine y(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*s*x**5 - 90*s*x**2 + 2*x**5 wrt x?\nAnswer: 780*s*x**2 + 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-612)\/1620 - 8\/36) + (-279)\/(-90).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4852 is divided by 498.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (329 + -300 - (12 + -3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 423*f + 636*f - 9*f - 383*f + 593*f to q*f + r and give q.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 774012, 774184, 774356, 774528, 774700?\n\"Answer: 172*o + 773840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/5, -13, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/7? (a) 0 (b) -0.4 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfj when three letters picked without replacement from xujuufx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 157221 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02333 - -0.023314845. Round y to seven decimal places.\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 4 + 49\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7308\/5 + -1473. Find the common denominator of -32\/43 and q.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 20*j - 10. Let q(p) be the third derivative of -7*p**4\/24 + p**3\/2 + 6*p**2. Let z(n) = -10*q(n) - 3*s(n). Let g be -1 + -1*(-1 - 1). Calculate z(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15459 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**3\/3 + 251. Let s(a) = -83*a**2. What is o(s(r))?\nAnswer: 6889*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-144)\/(-4))*-3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**4\/12 - i. Suppose -10 = 5*v, -3*x - 4*v + 1 = -0*x. Let h(w) = w + x*w**2 - w. Calculate h(d(b)).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 541 (base 6) to base 4\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - ((5 - 16) + 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490\/(-6650)*995 - -73?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 3*d - 4*d)*(3 + 3*d - d - 1)*(4 + 0 - 2) in the form r + w*d + c*d**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19095059 from 0.16121.\nAnswer: 19095059.16121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*v + v. Find the second derivative of -v - 3*y**4 - 2*y + 6 wrt y.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 13*v - 5. Give n(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -33*b**4 + 5*b - 461. Let m(n) = 16*n**4 - 3*n + 230. Let p(y) = -3*i(y) - 5*m(y). What is the derivative of p(x) wrt x?\nAnswer: 76*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -24. Let 3*q**s + q**3 - 2*q**5 + 0 + 0 + 2*q**4 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, 0, -57, -5, 1\/10?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 9. Let x(j) = 1. Let i(m) = -t(m) + 2*x(m). Let b(z) = 65*z**2 + 326*z + 2. Let h be b(-5). What are the prime factors of i(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-6))\/((-16)\/(-24)). Suppose -u - 4*u = -4*o - 66, t*u = 3*o + 62. 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: Simplify 3 + (-1 + (2*(0 + sqrt(320)) - (sqrt(320) - (-1 + sqrt(320))*-4)) + 0 + sqrt(320) + 3 + sqrt(320) + 4 + sqrt(320) + -1)**2.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 4*p**2 - 3*p + 6. Let w(d) = -d**3 + 5*d**2 + 4*d - 6. What is -3*a(n) - 2*w(n)?\nAnswer: -4*n**3 + 2*n**2 + n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-33)\/(-12))\/((-5)\/(-20)). Let m = d + -35. Let w = m - -22. Sort w, -4, 5 in ascending order.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -12, -138, 56?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133850912*j + 11*j**3 + 133850912*j - 12*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let v(p) = 8833*p. Calculate r(v(s)).\nAnswer: -8833*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(36)\/(sqrt(4)*-4 + sqrt(4)))\/(sqrt(33)\/(sqrt(77)\/sqrt(7))).\nAnswer: -5 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 606*b**3 - 2*b**2 + 12*b - 12. Let t(r) = -604*r**3 + 2*r**2 - 11*r + 11. What is -11*k(u) - 12*t(u)?\nAnswer: 582*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -9462.0789 to the nearest integer.\nAnswer: -9462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + o - 2, -4*t = -5*o + 11. Let p be t\/(1 - 2\/3). Suppose -11 = -k + p. Calculate the least common multiple of 12 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = g + 3*g + 6, 3*g = -3*z. Suppose 5*w = z*u + 3, -2*u - 33 = -5*u - 5*w. Put 0, 3, -4, u in increasing order.\nAnswer: -4, 0, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 7:55 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -14\/201 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(-2 + 4 + (sqrt(153) - 2*sqrt(153))**2 + sqrt(153) + sqrt(153) - (sqrt(153) + (sqrt(153) - (-1*sqrt(153)*-4)**2) + 4*-2*sqrt(153))).\nAnswer: 96*sqrt(17) + 10415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 107*m*n**3 - 124*m*n**2 - 279*n**3 - 71*n wrt m?\nAnswer: 107*n**3 - 124*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 - 8*y + y**3 + 8*y - y - 4 + 6*y. Give q(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-26))\/(468\/(-1014))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.019 + 20.019. Let y = -17418.942 - -17439. Let j = y - u. Round j to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -15\/2*y**3 + 15\/2*y**2 - 5\/2*y**4 + 55\/2*y + 15 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 52*d + 12 = 27*d. Let n = -14 + 14. Suppose 51 = -n*g + 3*g. What is the lowest common multiple of g and d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 - 2. Let g be y(-1). Let d(k) = k - 5. Let f(h) = 2*h - 6. Calculate g*f(q) - 5*d(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 506534 and 5968?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 2*k - 79. Let q = k - 14. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/6807 and 76\/9.\nAnswer: 20421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4978 - 4986. Let c(r) = -r**2 - 4*r + 40. What is c(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 + -5744\nAnswer: -5745.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57314004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -3*y**5\/100 + 141*y**4\/10 - 20433*y**3\/10 + 115926*y**2\/5 + 165*y - 2. Solve o(t) = 0 for t.\nAnswer: 4, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Suppose 0*r - 2*r + 3*c = -46, -5*r + l*c = -106. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 103. Let n = -468 - -474. Let z(t) = -2244*t + 4*t**2 - n*t**2 + 2244*t. What is y(z(w))?\nAnswer: -8*w**4 + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {u: 3, p: 1, g: 4, b: 1, e: 5, n: 3}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 301559?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 5, -28\/3, -3\/2, -1\/367?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15801, 31611, 47427, 63249, 79077, 94911, 110751?\n\"Answer: 3*g**2 + 15801*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/55 and 69\/260.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 + 136 = -118*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3404, -13928, -31436, -55790, -86852, -124484, -168548, -218906?\nAnswer: -275420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -27.\nAnswer: 11\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 19 + -6 + -10 + 5 - 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 66*(1 - 3\/2). Let s = -18 - x. Let w = -5 + s. Calculate the smallest common multiple of w and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.4, 3, 229, -22, 7 in descending order.\nAnswer: 229, 7, 3, 0.4, -2\/3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.8161 days in minutes?\nAnswer: 869495.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(2) + -3) - (sqrt(32) + sqrt(512) + sqrt(8)*3).\nAnswer: -17*sqrt(2) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**3\/3 + d**2\/2 - 140*d - 2. Let m(k) = 138*k + 94. Let v(r) = -3*i(r) + m(r). Differentiate v(x) wrt x.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.5 and 0.741.\nAnswer: -4.0755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105249 or -2626?\nAnswer: -105249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 4:33 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -2.8. Let s = z - 2.4. Which is the nearest to -1\/4? (a) s (b) 2\/19 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -109*i**4 + 6*i + 59. Let x(b) = -2*b + 1. Let h(r) = -u(r) - 3*x(r). Differentiate h(f) wrt f.\nAnswer: 436*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4733504776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -1\/2 (b) 0 (c) 179 (d) -5 (e) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 11 + -6 - 9*-2102 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14301223 - -222?\nAnswer: 14302000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.06, -4, 3, 12?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115036, 110688, 106340?\nAnswer: 101992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.05 (b) -0.02 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 2}. What is prob of sequence aja?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2186899.1 and -0.03?\nAnswer: 2186899.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 100237*h**2. Let y(l) = -12*l. Determine t(y(b)).\nAnswer: 14434128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00074774593 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*(-2)\/(228\/(-38))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 472*a + 118. Let f(h) = -3*h + 1. Let m(k) = 5*f(k) - u(k). Differentiate m(z) with respect to z.\nAnswer: -487","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l - 40 = -h, 4*l + 4*h + 32 = 0. Find the common denominator of 46\/11 and (l\/40)\/(2\/67).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11*g**4 - 6*g**3 - 6*g**2 - 6. Let m(p) = -p**4 + p**3 + p**2. Let o(t) = -h(t) - 6*m(t). What is the first derivative of o(u) wrt u?\nAnswer: 68*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -4. Calculate the greatest common factor of h and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -29. What is the second smallest value in -0.5, 3\/2, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 2*u**2 - 118*u**3 - 5*u**2 + 15*u + 4*u**2.\nAnswer: -118*u**3 + 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -22\/9, -1\/5, 6382?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -83, -90, -103, -122, -147, -178, -215?\n\"Answer: -3*h**2 + 2*h - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8798346329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -215 + 215. Sort -5, 13, v, 1.\nAnswer: -5, v, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61966, 62266, 62566?\n\"Answer: 300*j + 61666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 25*l - 108794. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 13*p - 16*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1200163271 and 0.2.\nAnswer: 1200163271.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 90, 105, 136, 189, 270?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 10924911.\nAnswer: 229423131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 31*b + 25. Let u be g(-1). Let z(j) be the third derivative of j**6\/120 + j**5\/15 - j**4\/6 + 7*j**3\/6 + 3*j**2. Determine z(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -261 - 411 = 112*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-8)\/(-642))*(-168)\/(-63). Is (-16 - 4)*j\/8 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 47888771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 18*c - 13*c. Calculate the remainder when c is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*d**2 - 48*d**2 - 3447*d**3.\nAnswer: -3447*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 2, r: 2, q: 1, w: 1, u: 2}. What is prob of picking 1 s, 1 w, 1 r, and 1 u?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 q when four letters picked without replacement from {q: 3, h: 2, r: 3, z: 2, g: 1, p: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14010267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 8. Let k = 6 - x. Solve k*n = 2 + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741*a + 20207 = -205*a + 7343 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43074 is divided by 181?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**5\/60 - m**4\/8 + m**3\/6 + m**2. Let v be i(-2). Solve o - 16 = 4*l, v*o - 3*l - 8 = l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3\/11, -2, -1\/8, -2\/9.\nAnswer: -7, -2, -2\/9, -1\/8, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/((o\/o**(2\/5))\/o)*o*o)\/o)**25)**(-27))**(-13) assuming o is positive.\nAnswer: o**29835","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 7667075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imiaabaiammbfabbqbb. What is prob of sequence mfaa?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2161728 (b) 0 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5641689 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 583262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = y - 107, -8873*y = -8875*y + 2*q + q + 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9 - (-40)\/45. Which is the nearest to -1? (a) -2\/7 (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 14*m + 358. Calculate k(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12*w - 1. List the prime factors of q(-3).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80100 divided by -8900\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19332 a multiple of 358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 660\/(-880)*8\/(-396)?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 + 39 - (-2 - 7)) + -6 - 4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055108*l + 1055103*l - 236 = -9*g, 3*g - 60 = -3*l for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 69*w**2 - 3*w - 75. Let r be p(-69). Calculate the highest common divisor of r and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 0, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 53\/920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 359398 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016815196 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4017 or 4016?\nAnswer: 4017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 - 297.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12 = d, -4 = 3*m - 166*d + 161*d. Solve -1\/3*t**2 - 5\/3*t - m = 0 for t.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28600 divided by -25.\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2 - 5. Let w(m) = 44*m. Determine w(r(d)).\nAnswer: -264*d**2 - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**2 + 9048*w - 5116644 = 0.\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88488 is divided by 44240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*r - 156*r - 24*r + 48*r - 5*r + 3*r + r + (-4 + 1 + 1)*(3*r + 3 - 3) + 4*r + 0*r - 3*r to b + x*r and give x.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224 and 504.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 95053 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115184, 115282, 115442, 115670, 115972, 116354?\nAnswer: 116822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4*(-4372)\/(-112) + (-2)\/14?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - -17?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363 + 367 + (-3 - (0 + -2)) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 84 (b) 0.02 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36124 + 36129. Let 0*m**2 + 0*m + 12\/7*m**3 - 3*m**n + 0 - 36\/7*m**4 = 0. What is m?\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*a, i + 163 - 146 = -4*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137756 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 571834 (base 10) in base 15?\nAnswer: b4674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 5, e: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 190853314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -5 (b) -4 (c) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114000141 (base 5) to base 15.\nAnswer: -a764b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-12)\/1)\/(0 - 1\/(-5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 12 - 0. Let a(l) = -l**2 + 7*l - 6. Let q be a(5). What is the greatest common factor of k and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -7\/10 (c) 3\/8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 791*h**3 + 2367*h**2 + 2365*h + 788.\nAnswer: (h + 1)**3*(h + 788)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*s + 2146 = 15352, 0 = 5*o + 5*s - 13215. What is the tens digit of (-2)\/(-9) - o\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10865648, -10865705, -10865752, -10865783, -10865792?\n\"Answer: m**3 - m**2 - 61*m - 10865587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h + 31 + 102. Suppose -1563 = -h*m - 191. Is m a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuuuuuuffuufuuuufuu. Give prob of picking 4 u.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/25 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {b: 3, h: 1, l: 3, p: 2, a: 4, d: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by -85\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + 65*h**2 - 8*h**3 + 15*h**3 - 39*h**2 - 28*h**2 in the form v + d*h**3 + g*h + y*h**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 424\/(-3021)*-39?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*h**3*i*x**3 - h**3*i*x**2 - 6*h**3*i + h**2*i*x**2 - 34*h**2*i*x + 2*i*x**3 wrt h.\nAnswer: 54*i*x**3 - 6*i*x**2 - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -32. Suppose -4*l = -6*i + 2*i + 12, 0 = n*i + 4*l - 2. Suppose -2*y + 5*y - 4*q = 17, -4*q = -2*y + 14. Is y not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 494, 496, 498, 500?\n\"Answer: 2*i + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.013 * -49\nAnswer: 0.637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -384.01*-241\nAnswer: 92546.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10211463 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 1. Let z(g) = 647*g - 4. What is 3*a(t) + z(t)?\nAnswer: 656*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -118, -1386 in descending order.\nAnswer: 0.4, -118, -1386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1464 - -2?\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 123012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1168171 nanograms to micrograms.\nAnswer: 0.0001168171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6154, -12141, -18128?\n\"Answer: -5987*b - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165370975.\nAnswer: 5, 7, 11, 271, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((2\/18)\/1). Suppose y = -q*b + 4*b, -3*y = -3*b. Let i(d) = -310*d + 903*d - 305*d - 12 - 287*d. Calculate i(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1728204 and 402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64557 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -29. Let c be (-220)\/385 + 64\/14. Suppose b = -4*l + 5*b - 4, 0 = -l - 5*b + 17. Solve 2 + h = z + p, 0 = -c*z - l*p + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*((-525)\/(-25))\/(-147).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 208*s = 196*s - 84, 0 = 2*u + 2*s - 28 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9) - 549\/(-27). Let v(h) = -h + 22. Let l be v(i). Factor 1\/3*j**3 - 4\/3 + 8\/3*j - 5\/3*j**l.\nAnswer: (j - 2)**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1598211 is divided by 683?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 25\/13 - 11\/(-143)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3*(-3)\/153)\/((-112)\/112)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 - 1422*k + 709*k + 711*k.\nAnswer: -2*k - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6542.2 and 4.2.\nAnswer: -27477.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (-45 - 2) + 334 + -382\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + 0*s)*(2*s**4 - 4*s**4 + 4*s**4) - 5*s**5 - 66*s**3 + 66*s**3 - 9.\nAnswer: -13*s**5 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r\/((r*r*r**(-17)*r*r*r)\/r)))\/r**5)\/(((r*r\/(r**(-2\/5)\/r*r)*r*r)\/r*r)\/(r\/(r*r**13))) assuming r is positive.\nAnswer: r**(-167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -7\/4 (b) -158 (c) -0.06 (d) -33\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*p**2 - 2*f**3*p + 9*f**2*p + 138263*f*p**3 + 41346*f*p - 6*p**3 + 3*p**2 - 56*p wrt p?\nAnswer: 2*f**3 + 829578*f*p - 36*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = 5*w + 7, -5*w = 10. Does 20 divide 137 - -5 - (r + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -997*k + 1007*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -0*x + 2658. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/19 + (-11745)\/1653.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g, 0 = 7*b - 3*b - 3*g - 15. Factor 29*j**b + 3*j**2 - j**4 + 2 + 25*j**3 - 5*j + 26*j**3 - 79*j**3.\nAnswer: -(j - 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 11*j**2 - 14*j + 8. Let v be x(10). List the prime factors of (v\/(-22))\/(-8) - 11193\/(-33).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Suppose -x*s + 31 = 2*w, 0 = 3*s - 2*w - 3*w - 17. Let u = s + -13. Which is smaller: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j**3 - 44*j**3 + 33*j**3 - 295*j**3.\nAnswer: -338*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110201 + -20210?\nAnswer: 1012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26787809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((1434 + 6)\/5)\/(4\/(-150)). Round m to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3500 and 22150500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-18) - 401803\/(-174276)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 5*n + 15. Put n, 0.3, -2 in ascending order.\nAnswer: -2, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-four fifths of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -591304 (base 11) to base 15\nAnswer: -138217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 68433350661436 and 29.\nAnswer: 68433350661465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from aeveasaekvzk?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a + 5*t = -24, 4*t + 4 = -3*a. Suppose 6 = a*z - z. Solve 4*n + 1 = -2*v - 1, -v = 5*n - z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from {t: 3, u: 1, h: 1, k: 2, x: 3, y: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52336429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**(-1\/10)\/(c\/(c**(-1\/70)*c)*c*c**16) assuming c is positive.\nAnswer: c**(-4757\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 21*b + 207. Give m(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) -0.2 (c) -10\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10471, -10473, -10475?\n\"Answer: -2*c - 10469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 779 = -10*j + 859 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1)\/(((-117)\/364)\/(-9)). Which is smaller: v or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*w + 50*w + 36. Solve 0 = 3*a - 5*n + 10, 4*a = a - 3*n - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 26261?\nAnswer: -26266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32947 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from hhaaupui?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 15 = y. Suppose 7 = 4*d - 1. Suppose -3*f - d*f + 60 = 0. What is the greatest common factor of f and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190921064 divided by -6158744\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*y + i, -y + 1 = -0*y - i. Suppose -k - 6*g = -4*g - 27, 3*g = -k + 27. Let r be 9*3*3\/k. Solve 5*x = 2*m + r, -x + y*x - 4 = -5*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0180502 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97405 and 3335?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-five quarters of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, -4 in decreasing order.\nAnswer: 19, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 - (10 - 2553)) + (-6 - -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 41\/63485?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6))\/((-2)\/(-36)). Let d(b) = 11*b**2 + 9*b - 9. Let p(a) = -5 + 1 + 5*a**2 + 4*a + 0. Suppose 3*y = -2*y - 20. Give m*p(r) + y*d(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 20*x**4\/3 - 5*x - 3. Let h(a) = 2*a**2. Calculate h(k(p)).\nAnswer: 12800*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -249 (base 12) to base 4\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 - 13*y**2 - 3*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 343, 509, 675, 841, 1007, 1173?\n\"Answer: 166*t + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0643169575 to 4 decimal places.\nAnswer: -0.0643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/13710093 and 5\/742.\nAnswer: 191941302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 254436356 and 1396?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 4*o = -552, 0 = -2*h - 381*o + 382*o + 87 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3759.2745 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -5, 0, 1, -75?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 12. Solve 0 = 2*i + o*i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**2 + 7*q + 3. Let v(d) = -5*d**2 - 6*d - 2. Let m(f) = 3*v(f) + 2*w(f). What is the second derivative of m(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-64) + (5\/2)\/(-1). Let k be (-18)\/h + (-1 - (7 + -2)). Which is the closest to -2\/9? (a) -3 (b) 2\/3 (c) k (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-5 - -5) - 0. Solve i = -p + 3*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(126350\/(-840) - -141).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-6))\/(1\/3). Let g be 1\/6 - (-49)\/(-42). Let k = 6 - 4. Sort w, g, k.\nAnswer: g, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2896 by 2896.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from tttjefjjtteteettgjf.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1186 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 5*c - 8. Give t(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4887, -4888, -4889, -4890, -4891, -4892?\nAnswer: -4893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1495 divided by -4.\nAnswer: 1495\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -35068 divided by 1594?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 89. Suppose z = 4*a - 5*i, 0*a - 20 = -2*a + 2*i. Let o = 3 - 2. Calculate the highest common factor of o and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0. Suppose 2*v + 2*m = v - 2, -2*v = 3*m. What is the lowest common multiple of 1 + v + -1 + 1 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.531 to 0 decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131 (base 5) in base 13?\nAnswer: -ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, 0, -10, -24, -42, -64?\n\"Answer: -2*p**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 2*o**3\/3 + 86. Let m(p) = 5*p**2 + 18. What is h(m(a))?\nAnswer: 50*a**4 + 360*a**2 + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.31? (a) -0.3 (b) 5 (c) 227 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5 + 25. Let o(h) = -2*h**3 - 11*h**2 - 10*h - 17. Let l(d) = -d**3 - 6*d**2 - 5*d - 9. Let v(p) = i*l(p) - 2*o(p). Is v(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - q + 6 + 3*q - 2*q**2.\nAnswer: -2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v + 8. Let f = 25 - 0. Suppose 21*o - f*o - 28 = 0. Is a(o) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 6*w**2 + 6*w - 1. Let j be z(-7). Suppose v - j = -1. Solve 6 = -v*r + 6*r + 5*b, b = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1344, 2689, 4034?\n\"Answer: 1345*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(5 + (-2616)\/520).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 - 5*s + 18. Determine f(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303210 (base 4) to base 2.\nAnswer: 110011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l + 82. Let b be y(28). Suppose -5*j = 4*w - 7*j - b, w = -5*j + 83. What is the remainder when 229 is divided by w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**3\/3 + 1. Let j(u) = 33*u**2 - 18*u**2 - 21*u**2. Calculate j(s(n)).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiiaia. Give prob of sequence iiaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = y - 77. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3506648777.\nAnswer: 3506648777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1154 + 33859. Is 123 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 657 divide 5109190722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1491 or 1490?\nAnswer: 1490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14207269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggvggvgggvvggvgggg. What is prob of picking 3 g?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4\/(-8))*0 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29670407 + 54888205 = -r + 1249612. Round r to the nearest one million.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 495882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -93713, -93717, -93725, -93737, -93753, -93773?\n\"Answer: -2*w**2 + 2*w - 93713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166176041.\nAnswer: 53, 3135397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 25*x - 24. Let f be y(1). Solve -3*t + 5*w - f = 17, 0 = 2*t - 5*w + 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (11 - 24) - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - c = 0, -4*c - 11 - 3 = -2*j. Let b = -296 - -381\/2. Let i = b - -104. What is the third biggest value in j, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 95, 247, 491, 863, 1399, 2135, 3107, 4351?\n\"Answer: 6*y**3 + 10*y**2 + 80*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p)\/p**(1\/3)*(p\/(p**(1\/2)\/p))**(7\/3) assuming p is positive.\nAnswer: p**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*j + 248*j + 56 = 0. Let n be 6\/(72\/42)*(-24)\/j. Let t(r) = 26*r - 29. What is the units digit of t(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 6. Give h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/13 (b) -2 (c) 2\/19 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 718165 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (6 - 3) - (-1 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p + 16. Let h = 14 - 11. Calculate the remainder when p is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22822, -45643, -68464?\nAnswer: -91285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-194.5\nAnswer: 233.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -3, 0.2, -1, 15426, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:49 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = u + 3*b, 829*b = 2*u + 832*b + 31 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/24*3*364\/364\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-17 + -13 - (-2 + 0)) - -5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 1. Let q be d(1). Solve z**2 + q + z + z - 2 - z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -5*h**4\/3 - 1375*h. Let o(q) = -4*q - 6. Give t(o(w)).\nAnswer: -320*w**2 - 960*w - 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60a + -3?\nAnswer: -60d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 390, -14, 523?\nAnswer: 523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 22*h - 28 = 17*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 4, 2 in descending order.\nAnswer: 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17642 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -8. Let x be (-164)\/y - (-4)\/26. Let h be 8\/(-48) - (-25)\/6. Sort h, x, -5 in descending order.\nAnswer: h, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -18 - (10 + -1 - 4 - 6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -456981 != -457007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -123460, -1\/18, 2\/5, -5.\nAnswer: -123460, -20, -5, -1\/18, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*h**3*m*v**3 - 2*h**3*m + h**2*v**3 + 112*h**2*v**2 - 3*h*m*v wrt h?\nAnswer: 96*m*v**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 4*a + 10. Let j be s(-6). Solve 5*t - j = -2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1334 (base 7) to base 15.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 20*l**2 + 2. Let m be t(2). Suppose -2*k = -k + m. Let n = 413\/5 + k. Find the common denominator of -34\/3 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let u be 4\/10 - 114\/(-15). Suppose -93 + 83 = 2*b. Let h(l) = -l. Let c(t) = b*h(t) + u*a(t). Let d(o) = -o. Determine d(c(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -3\/2 (c) -2004 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 6*p = -4*p. Suppose -5*m + 685 = 5*t - m, 3*t + 5*m - 424 = p. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 73.5829\nAnswer: 220.7487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from yyhti.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/x)\/x)**(1\/14)*(x\/(x\/(x*(((x\/(x*x*x**(-2)))\/x)\/x*x*x)\/x)))**(-11\/7) assuming x is positive.\nAnswer: x**(-25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050420 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 7 = -5*n + 2*k, -2*n - 4*k - 20 = 0. Let p = n - -4. Suppose p = q + 4*q - 40. What is the greatest common factor of q and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.936251 and 46.\nAnswer: 44.063749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 1. Let z be l(10). Let v(i) = -z*i - 9 + 17 - 7 + i**2. What are the prime factors of v(12)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:26 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 1. Let n = 6 - 9. Let q = -41 - -21. Let s = 22 + q. Let c(k) = 4*k + 1. Determine n*g(y) + s*c(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 800 + 764 = 3*w, -2*w = -4*g - 88 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27476\/16107 + 5\/413. Find the common denominator of v and -47\/468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njmnmmemjmm. Give prob of picking 1 e and 1 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/3 - 201440*u**3\/3 - 2254292656*u**2 - 75676603924736*u\/3 + 151380260972896\/3 = 0. What is u?\nAnswer: -33574, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84052 is divided by 41971.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5727*f**3*j*u + f**2*u - 2*f*j*u - 671*j wrt f.\nAnswer: -34362*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5056 - -5051. What is the third smallest value in q, -1\/2, 7, -0.07, 0.2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, l: 4}. Give prob of sequence lll.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 34. Let f(j) = -j - 1. Let w be f(-4). Suppose -w*s + 4*k = -41 + m, 0 = s + k. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-1)*(-38)\/114\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 2*a**2 + a + 1. Let z be s(2). Let n(d) = d**3 - 3*d**2 + 5*d - 4. Let m be n(3). Suppose 2*g + z = m. Sort -1, g, -2 in decreasing order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 - 1 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, 536, 1200, 1848, 2474, 3072?\nAnswer: 3636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 741.524 millilitres in litres?\nAnswer: 0.741524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 67 - (265 + -75 + -91)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 + 6*l + 27. Give u(7).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 + -44. Suppose -2*o + 382 = h + 138, 0 = o + h - x. What is the remainder when o is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 15. What is i(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s**3 - 326*s**2 + 73*s - 339. Calculate the remainder when (-1162)\/(-3) + 4\/6 is divided by l(-41).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*z**4 - 16572 - 745*z**4 + 16572 + 3*z + (-3*z**3 + 0 + 0)*(-4*z + z + z) to the form r*z + m*z**3 + p*z**4 + j*z**2 + q and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 4. Suppose 10*b - 169 = 241. Suppose -2*m + 3*x = b, -19 = m - 0*m - x. Let v be (-5)\/(-2) - 24\/m. Determine p(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -946*(-14)\/17248 + (-1)\/7.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*r - 20, 0*n - 3*r - 14 = -4*n. Suppose n*y = -7 + 13. Solve -y*l = -5*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 19*s**2 + 32*s - 8. Let x be t(20). Let l = 235 - x. Solve -l*c + 15 = -8*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + y - 3*y)*(0*y**3 - y**3 + 3*y**3) + 2*y + 276*y**4 - 136*y**4 - 137*y**4 to the form f*y**4 + j*y**3 + g*y + i + a*y**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r - 7*r + 0*r. Let a(i) = 2*i**2 - 2*i. Let w(o) be the first derivative of 4*o**3\/3 - 5*o**2\/2 + 22. Let h(t) = 5*a(t) - 2*w(t). Give h(n(k)).\nAnswer: 242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 87 - 5*l + 10*l + 9*l + 92. Let f be n(-13). Suppose 0 = -2*b + 6 - 0. Sort b, f, -1, -4.\nAnswer: -4, f, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21572512 by -2.\nAnswer: 10786256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 703 and 9102?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268305 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + 10 - (-6 - 1)) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39795271 to the power of 1\/3, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3740558262 and -9?\nAnswer: 9.3740558262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9577\/518 + 988\/37. Let g = -51103\/34 - -1503. Find the common denominator of g and z.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118667, -474616, -1067849, -1898360, -2966143?\nAnswer: -4271192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -67*v + 2517. Let q(d) = -19*d + 840. Give 7*q(j) - 2*w(j).\nAnswer: j + 846","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 32 - 7 = 0, 3*c - 5*x - 1 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/20 - ((-11)\/5 - -2). Is 25 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348322717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/63 - 6\/(-21). Let d = 10.3 - 12. Let i = d + 2. Which is the biggest value? (a) i (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*a + 249 + 1509 = -543 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 + 150*o**2 + 355*o - 1350 = 0. What is o?\nAnswer: -27, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5000\/3 - 1667. What is the smallest value in 6, -3, -0.1, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1166 or -839?\nAnswer: -1166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 28*s. Let y(j) be the third derivative of 0 + 0*j**3 + 0*j - 1\/12*j**4 + 22*j**2. What is c(y(m))?\nAnswer: -56*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 2*j**3\/3 - 4. Let i(k) = -5*k - 673859 + 2*k + 673905. What is y(i(h))?\nAnswer: 18*h**2 - 552*h + 4232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by -1 + (4 + 0)*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239269.\nAnswer: 23, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -149 divided by -2\nAnswer: 149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + 97. Let r = y - 5. Is r <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1827733 is divided by 1067.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928*x - 1779*x + 915*x.\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 507 - 103. Suppose -v = -f - 12. Factor -388 - 7*z + f + 4*z**2 - z.\nAnswer: 4*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p + 3. Let m be l(1). Let h be (1 + -16)*m\/(-20). Solve -v + j - 6 = 0, h*j - j = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 744 and 24.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5228560 is divided by 194.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 790*q**3 + 2*q**2 + 2*q - 2. Let h(d) = 1582*d**3 + 5*d**2 + 5*d - 5. Determine 5*g(r) - 2*h(r).\nAnswer: 786*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -441657600 to the nearest one million.\nAnswer: -442000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x + 7. Let z(l) = -4*l - 2. Give -2*w(u) - 7*z(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -772407, -1545156, -2317897, -3090624, -3863331?\nAnswer: -4636012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10\/13 + 73\/78. Which is smaller: c or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133301301202 (base 4) in base 2?\nAnswer: -11111110001110001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50949.25 decades to years.\nAnswer: 509492.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -217*s - 37780. Determine i(-174).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -8, 3*x + w + 15 = -2*w. Put 6, x, 11 in ascending order.\nAnswer: x, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -15. Let r = w - 8. Suppose 1 = r*f - 4*z - 6, -2*z + 13 = 3*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2 (b) -2\/5 (c) -0.02 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 - 10211?\nAnswer: -9578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 3*z + 9. Let q be u(-5). Sort 1, -5, -6, q in increasing order.\nAnswer: -6, -5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(960) - (sqrt(15) + -4*sqrt(15)*2))\/((sqrt(80)\/(sqrt(12)\/sqrt(3)))\/sqrt(4)).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 5*x**2 + 6*x + 2. Let n be b(6). Suppose 28 = 2*r + 2*t, -n*t + 19 + 29 = 4*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 499?\nAnswer: 48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8400 = 775*k - 768*k. Calculate the highest common factor of 24 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-12)\/a)\/a)\/(a\/a**12)*(((a**(11\/5)*a)\/a*a)\/a*a)\/a**(3\/11))**31)**(1\/4) assuming a is positive.\nAnswer: a**(-31\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -14*p - 7. Determine s(7).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-21 - (-1 - 14))) + 19?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38998, 77994, 116990, 155986, 194982?\nAnswer: 233978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 3. Let a(d) = 751*d**2 - 684*d. What is a(w(m))?\nAnswer: 751*m**2 + 5190*m + 8811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17424 - -98\nAnswer: 17522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -9, 22, 0, -5955, 1 in descending order.\nAnswer: 22, 1, 0, -3, -5, -9, -5955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -739888 by -97.\nAnswer: 739888\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/14)\/(520\/(-364))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -232446, -232195, -231944, -231693, -231442, -231191?\n\"Answer: 251*c - 232697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*1*(3 - -9). Suppose 4*d - 5*d = -r + 8, 4*d + 22 = 2*r. Suppose 179 = r*i + 29. Calculate the highest common factor of i and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkllk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 2*k + 1. Let a(m) = m + 3. Let z be a(-3). Suppose z = h - 0*h + 4. Determine i(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 32028*k**2 + 77035680*k + 48781237696.\nAnswer: 4*(k + 991)*(k + 3508)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 9714498.934 to the nearest one hundred.\nAnswer: 9714500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49d5588 + 2?\nAnswer: -49d5586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.85 - -2.49. Let w = -7.36 - y. Sort w, 4, -2\/19 in increasing order.\nAnswer: w, -2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1538*l**2 - 49215*l + 42. Determine j(-32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 5. Let i(w) = -w**2 + 6. Let l(v) = 6*h(v) - 5*i(v). Let o(p) = -5*p**2 - 2*p - 2. Determine 6*l(b) - o(b).\nAnswer: -b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 15*v + 16*v + 91175 = 0, -4*k - 5*v + 121516 = 0. What are the prime factors of k?\nAnswer: 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 a when three letters picked without replacement from {d: 1, n: 1, g: 1, a: 1, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -296, -294, -292, -290?\n\"Answer: 2*s - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6*v - 196 = 0. Let y = -20 - v. Suppose -2*a - y = -2*x, 2*x + 3*x - 8 = a. Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*x - 101*x = 444. Let a(m) = m**2 - 32*m + 298. Calculate the remainder when x is divided by a(18).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -16 - (40 + 26) - 44.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-2)*15\/(90\/12). Which is the third smallest value? (a) 0.4 (b) g (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-1 - 0)) + -1 + (52 - 43).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 1\/6 (c) -5 (d) -0.7 (e) -3 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*x = -30, -1521*x + 18 = -4*r - 1520*x. Let k = -0.14 - 0.86. Let t = k + 0. Which is the closest to t? (a) r (b) 2\/31 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/(-3) - (-3)\/(-9). Suppose 2 = 5*s - 3. Suppose -p + f = -s. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 14. Let x = 52 + -57. Which is the third smallest value? (a) x (b) -2\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2914 and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.151256823 to 3 decimal places.\nAnswer: 0.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/15 + (-2)\/10. Let s be x\/((-1)\/((-10)\/(-2))). Suppose -4*u - 45 = -3*v - 2*v, 18 = 2*v - s*u. What is the lowest common multiple of v and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.0373 micrograms in grams?\nAnswer: 0.0000750373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - (0 + (1 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3943*h**2*t - 3357*h**2 - 19278481*t wrt h.\nAnswer: -7886*h*t - 6714*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 60354.73 times 6?\nAnswer: 362128.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.09 + -0.94. Let d = 0.03 + x. Let p = 0.005 + 0.195. Which is the third biggest value? (a) 2 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -2073, -7135, -17003, -33279, -57565?\nAnswer: -91463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 14*y**2 - 2*y + 2. Let r be h(1). Suppose -8*a + r = -26. Solve 0 = -3*o - a*b - 16, -2*o - 2*b = 2 + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 10*a + 6*a + 5*a - 2977 + 2939 - 21*a.\nAnswer: -2*a**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u + 2*u - 26. Solve 16*g - 4*g**4 - 16*g**3 + 12 + 0*g**4 + 9*g**2 - 6*g**2 - 11*g**u = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 8:48 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 8*i**2 - 9*i + 4. Let d be m(-2). What is the remainder when 21\/(-3) - d - (-414)\/6 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 7*g + 7. Let a be c(-8). Let w be a\/(-2) + (-330)\/12. Let r = w - -37. Solve -4*o - r = -5*o + 2*s, -5*s = 2*o + 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560 - 560 + 9*t**2 - 7*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45001312 (base 7) in base 5?\nAnswer: 1443223131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 3*t**2 - 3*t - 4. Determine l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-2 - -1) - (-13 + 8) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7440 divided by 2480?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*x**3 - 30*x**3 - 7*x**3.\nAnswer: -137*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2 = -2*m. Is 2 - -65 - (-1 - m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3607*b + 0 - 3893*b - 1.\nAnswer: -286*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 11*q**2 - 7*q + 12. What is the units digit of x(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89613 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (4 - 2) - (-3 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-126) - 256\/56.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 5*n + 0*n. Let w be 64\/24 + (-4)\/6. Let z(i) = i**2 + 3*i**w - 2*i**2. Calculate g(z(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2321*a + 2310*a - 1178 + 7998 = 0. Calculate the greatest common factor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*n**2 - 235*n**2 - 232*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-123 - -4)\/(-7)*(-3)\/(-3). Suppose s*c - 14*c - 78 = 0. What is the smallest common multiple of 4 and c?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 8*x + 1068 = 0. Suppose 0 = 4*r - 0*r - x. Let g = r + -152. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -95, -138, -195, -272, -375, -510, -683, -900?\n\"Answer: -y**3 - y**2 - 33*y - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 6 = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301 divided by -1?\nAnswer: 3301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66.603 - 737.\nAnswer: -803.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6343791 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -d + 2*d. Let x(p) = p**3 - 2*p - p**2 - 2 - 1 + p. Is x(d) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, -1170, 87 in increasing order.\nAnswer: -1170, -183, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 26 - 14. Let c = -1 + t. Solve w - c = -2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 2\/9, 3947, -3, -0.7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-6))\/(7\/21). Which is the second smallest value? (a) d (b) -0.2 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74\/3? (a) -7 (b) -4\/7 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:43 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 941351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*w = 643 - 571, -144 = 5*s + 4*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 3)\/((-329)\/(-83) - 4). Suppose 0*g - g = -4*b - x, -3*g = -4*b - 265. What are the prime factors of g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 - -0.191. Let a = 0.379 + r. Let f = 0.4 - a. What is f rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5470900 rounded to the nearest one hundred thousand?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8621*n**3 - 274*n + 274*n.\nAnswer: -8621*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3 - 2566*j**2 + 7115*j.\nAnswer: 6*j - 5132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2347077*a**6 - 110*a**2 + 99*a - 40?\nAnswer: -281649240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 500695 and 500695 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31643\/10 + -3160. Calculate the common denominator of -57\/34 and w.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = 5. Let k = 8 + p. What is the least common multiple of 8 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -3065.\nAnswer: -8\/3065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2569*d**2 + 12*d + 20. Let c be l(-10). Round c to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -39. Which is the second smallest value? (a) -1\/4 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*m)\/(((m*m**(-5\/7)\/m)\/m)\/m)*(m*m*(m*m*m*m**(3\/7)*m*m)\/m)**17 assuming m is positive.\nAnswer: m**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 3:09 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Let l(a) = -102*a + 11 - 3 + 101*a - 10. What is -l(p) + 4*x(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 0.4, 4, -0.2, 8, 1\/11, 1273?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2439 - 247 + 5*p**3 - 4*p**3 + 0*p**3.\nAnswer: p**3 + 2192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 509*w**3 - 21503*w**2 - 7565*w + 14450.\nAnswer: -(w - 85)**2*(w + 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294444 is divided by 3547?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -1566 + 364*r + 4*r**5 + 1814 - 368*r**3 - 37*r**4 - 39*r**2 - 75*r**4 - 97*r**2 = 0.\nAnswer: -2, -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-12))\/((-11)\/(-99)). Let u = 8 + -7.9. Which is the closest to u? (a) -0.3 (b) k (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 602308, 602232, 602156?\n\"Answer: -76*m + 602384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8*(-52)\/(-16) + 8)\/(4 - 2). Which is the biggest value? (a) f (b) 2\/9 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5330 = 28*l - 53890. Calculate the remainder when l is divided by 65.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 17, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.00023 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 9 = p, 0*y + 2*p + 3 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 154 (base 7) to base 15\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-427)\/(-595) - (14\/(-10) + 2). Which is the nearest to -1? (a) -2 (b) 0.124 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*i + 10*i = 348 - 1671 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/65 and -57\/30630457?\nAnswer: 153152285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:21 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, s: 2, h: 2, k: 1, g: 1}. Give prob of picking 1 s, 2 h, and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 46728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*n - 15 = 0, 0 = -3*w - 2*n + 20 - 3. Let c(d) = 8*d + 6. List the prime factors of c(w).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416432173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Suppose -x*o - 19 = -5*p, 4*o = 2*o - 3*p + 21. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u - 7. Let g be (-1)\/3 + (-42)\/(-18). Let j(a) = 9*a - 14. Let h(k) = -2*k + 5. Let l be h(5). Let p(r) = g*j(r) + l*x(r). Calculate p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35771\/78 - -917\/2. Let c = u + 46\/195. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*l*o**3 + 1530*l*o**2 + l + 180*o**3 wrt o.\nAnswer: 66*l + 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2080 + -1612.5. Let i = h + -467. Suppose 9*s - 10 = 4*s. Which is the third smallest value? (a) s (b) -0.2 (c) i (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/5047887 and 85\/18.\nAnswer: 30287322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -75210, -150417, -225624?\n\"Answer: -75207*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {i: 2, r: 2, b: 1, h: 1, z: 2, y: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2700, 6327, 12370, 20829, 31704?\n\"Answer: 1208*a**2 + 3*a + 1489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -5. Let k(x) = -x**2 - 9*x + 8. What is the remainder when k(f) is divided by 2 - ((-1 - 9) + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 17*x + 12. Suppose 2*p - 15 = 3*p. Let a be y(p). What is the greatest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*j**2*p**2*s + 2*j**2*p - 2*j**2*s - 80*j**2 + 22*j*p + j + 14*p**2*s - 10*p**2 - p*s - 4*p wrt j.\nAnswer: 40*p**2*s + 4*p - 4*s - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 - (9 - 18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.93 + -1.13. Sort 22, -5, x in ascending order.\nAnswer: -5, x, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**1\/y)\/y)\/(y*y\/y**(3\/4)))\/(y\/(y*((y\/(y\/(((y*y\/((y*y**0\/y)\/y*y))\/y)\/y)))\/y)\/y*y*y))**24)**(2\/3) assuming y is positive.\nAnswer: y**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 182880133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 1\/7*o**7 + 128\/3*o**3 - 23\/3*o**6 + 83 + 0*o + 0*o**4 + 0*o**5 - 1\/2*o**2. Find the third derivative of g(r) wrt r.\nAnswer: 120*r**3 - 2760*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 6*l**2 - 4*l + 9. Let h be d(-5). Suppose 2*q = 2*u + 5*q - 4, -2*q + h = 0. Do u and 2\/79 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654903101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 206*z + 4*z**2 + 0 + z**3 + 2 - 204*z. Determine w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 62 = -2*u, 164 = -3*h - u + 69. Suppose 0 = -c + 2*c - 12. Let q = c - h. What is the greatest common factor of q and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/9 - 2*b**2\/9.\nAnswer: 2*b**2*(b - 1)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/3*-6. Let k be (-2)\/(-8) + (-7)\/28. Suppose 2*y + 4*g - 26 = k, y + 4*g - o*g - 9 = 0. Solve 3 = 3*p - y*r - 6, 3*r + 7 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.4, -0.06, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = 26*x - 168. Calculate the greatest common factor of 21 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -48, -79, -110, -141, -172?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 18 = 3*y. Let x(s) = -y*s + 29*s - 22*s. Let m(t) = 9*t**2. What is m(x(l))?\nAnswer: 900*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 9, k: 6, m: 2, g: 1}. Give prob of picking 1 a and 1 p.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(1\/3)*d)\/d)\/(d\/d**18))\/(d*d\/((d\/(d*d*d\/d**1*d*d))\/d*d)*d)**(-28))**20 assuming d is positive.\nAnswer: d**(11120\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -92. Let h be 14\/12 - 1\/2. Which is the second biggest value? (a) p (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 11*v**2 - 8*v + 23. Let l be f(-10). Suppose m = 5, p + 2*m - 442 = -l*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1536790 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-3\/5)\/z))\/z*z**(3\/7)*z*(z\/(z**(2\/27)\/z))**9 assuming z is positive.\nAnswer: z**(2138\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108999 and 7506.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15497 is divided by 388.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**10\/151200 + c**9\/30240 - c**7\/2520 + c**6\/720 + c**5\/30 + 3*c**2. Let g(o) be the third derivative of d(o). Factor g(i).\nAnswer: -(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17259 + 31366. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = p. Let x be (p\/(-5))\/((-4)\/6). Let d be 4\/6 - 1\/15. Which is the third smallest value? (a) d (b) x (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11420145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -216 - -221. Let j be (5\/y)\/(2\/76). Put -3, 3, 2, j in decreasing order.\nAnswer: j, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3200*g - 6. Let n be j(1). Let r = n - 1615. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - v = 33, 3*v - 2*v = -4*n + 39. What is the highest common divisor of n and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 297651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 1)\/(1\/((-12)\/(-18))). Solve 3*i - x = 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let l(v) = -80 - 12*v**2 + 52*v**2 + 28*v**x - 2*v + 81. Is l(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49284, 98557, 147842, 197139, 246448, 295769?\nAnswer: 345102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, 0.5 in descending order.\nAnswer: 13, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 2\/4169951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 80843680 to the power of 1\/2, to the nearest integer?\nAnswer: 8991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 5. Suppose -m = 3, -u*b + 9*m - 4*m = 10. Let n be 1*-1*(b + 0). Solve -n*i + 21 = -4*j, 3*i - j - 3*j = 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121649305?\nAnswer: 5, 19, 1280519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1810, 3579, 5336, 7075, 8790?\n\"Answer: -y**3 + 1776*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -299972605, -599945216, -899917827?\n\"Answer: -299972611*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437943187.\nAnswer: 11, 53, 751189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*g + 5, -h + 4*h + 3*g - 3 = 0. Let v(t) = -t**3 + t**2 - 2*t + 22. Calculate the remainder when 42 is divided by v(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1291552*l**3 + 41*l**2 - 123490444*l wrt l?\nAnswer: -7749312*l + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16340 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -8) + (-1 - 2 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - q + 0*q = 219, 2*q = 2. Suppose f = -5*a - 2*b, 4*a + a = 3*b - 34. Does a = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0.2, -2\/9, -0.94?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z - 212564 = -213859 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449973 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: Solve -121*r = -21*r - 1144 - 1856 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39511030.8 rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16704 (base 8) to base 5\nAnswer: 220440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54 - -1)*-1 - -2. Suppose 0 = t - 5*t - 112. Let f = n + t. Calculate the remainder when f is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let j = 0.28 + 3.72. What is the smallest value in 26, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 86b3?\nAnswer: 86a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**18))\/(x\/(x\/(x*x**(-10\/11)*x*x))*x))**(5\/9) assuming x is positive.\nAnswer: x**(820\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 88789.39 nanometers?\nAnswer: 0.08878939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 10*z + 26. Give m(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, 17, 23, 27, 29, 29, 27?\n\"Answer: -u**2 + 11*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -618.74\nAnswer: 1856.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxxxtnzntj. What is prob of sequence xtjx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.5 + -38. Let w = m + -9. Let q = 0.05 - 0.05. What is the nearest to q in 2\/7, w, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6637852829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + v + 1. Let o(l) = 4*l**3 + 2*l**2 - 8*l + 3. Let d(u) = 2*u**3 + u**2 - 4*u + 2. Let p(z) = 11*d(z) - 6*o(z). Give -p(t) + 4*s(t).\nAnswer: 2*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12730083 is divided by 2853?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12739 + -4254.\nAnswer: -16993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -881\/6 - -146. What is the common denominator of k and 41\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2994551\/664 + -1474\/83. Let z = i + 4534. Find the common denominator of z and 1786\/(-168) + 4\/(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -2, -7173, 4, -47 in ascending order.\nAnswer: -7173, -47, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29073 is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 7:18 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = -h, -3*w + 4 + 15 = h. Suppose k - w = -2*k. Let t = 103 + -87. Calculate the highest common divisor of t and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 - 6 = 0. Let a = -5 + d. Let c(s) = 4*s**3 + s + 7. Let v(i) = -i**3 - 2. Let g(k) = a*v(k) + 2*c(k). What is the second derivative of g(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (225\/(-108)*(-8)\/20)\/((-2)\/(-12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -1 + 4\/12. Let n = 0.6 - 1. What is the smallest value in b, 5, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 6833*a - 82133. Determine t(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 greater than 0.0569527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -24*t**2 - 1131*t + 1130. Determine a(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1197, 2370, 3555, 4758, 5985, 7242, 8535?\nAnswer: 9870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 658681\/7 - 94095. Solve -n*z**4 + 68\/7*z**3 - 96\/7*z**2 - 8\/7 + 52\/7*z = 0 for z.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 82 = -5*d, 830*l = 831*l + 5*d - 56. Suppose b = 1 + 18. Let r = l - b. Calculate the greatest common factor of 45 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - ((-3*sqrt(65) + sqrt(65))*-5 - sqrt(65)))\/(1*(sqrt(405) + sqrt(5))).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(((-2)\/(-4))\/1). Let d be v\/28 + 172\/14. What is the highest common divisor of 24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 90, 139, 180, 219, 262?\n\"Answer: d**3 - 10*d**2 + 72*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2220*k**3 + 682*k**2 - 2*k?\nAnswer: -13320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3228632 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q = 3. Suppose -q*j = j - 28. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/9, -1, -8\/7, -2\/7 in descending order.\nAnswer: 2\/9, 0, -2\/7, -1, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6947 - 7570.6. Round y to the nearest 10.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 6539545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-10) + -1 + 32\/20. Let k(d) = d**2 + d + 48. What is the units digit of k(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151562*a*o**3*v + 417*a*o**2 - 4*a*o*v - 5*o**3*v + 112*o**2*v - 2*o wrt o.\nAnswer: 909372*a*v - 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321302.9ml in litres?\nAnswer: 321.3029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(77)\/(sqrt(22)\/sqrt(2)) + 3*(-1 + sqrt(1008)).\nAnswer: -8 + 37*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3.5. Let l = -14.24 + 14. Let o = 0.06 - l. What is the closest to 0 in 3, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*j + 11*f + 10*j + 15 wrt f?\nAnswer: j + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k + w + 90, -3*k - 2*w = 274. Let g = k + 110. What is the lowest common multiple of 2 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 81*s + 34. List the prime factors of n(5).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16894347.6000354 - -16894351. Let s = 38.6 + -42. Let o = i + s. Round o to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*d - 75*d - 7*d)*(-6 + 1 + 4) - 9*d + 13*d + 21*d + 2*d.\nAnswer: 88*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) -0.1 (c) -3 (d) -5 (e) 1005\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -60, -12, 14, 6, -48, -160?\n\"Answer: -2*o**3 + o**2 + 59*o - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 40*m - 42*m + 3*w, 25*w - 87 = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20228578 is divided by 205?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -3*g - 140. What is the highest common divisor of 80 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*p - 306*p = 58. Are p and 125 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6738 = 5*l + 2*s - 2767, -2*l + 3802 = -5*s. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/2)\/(k*k*k\/(k**(-22)*k)) assuming k is positive.\nAnswer: k**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + -53475.\nAnswer: -53475.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*b + 13993 - 1030, -2*h = 2*b - 12960. What is the remainder when b is divided by 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 5*n + 22, 0 = 5*b + n - 7 - 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-5))\/(23\/5865). Calculate the greatest common divisor of 18 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 5*o**2 - 7*o + 3. Let c be q(-6). Suppose -3*x + 4*p = -19, x - 2*x = p + 3. Let t = -6.5 - -7. What is the third smallest value in t, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -3*m**4\/4 - 21*m**3 - 297*m**2\/2 + 363*m - 167. Factor v(c).\nAnswer: -3*(c - 1)*(c + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1270 = o, -5*o - 1264 = 3*y - 0*o. Let g = 1292 - y. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 18 = 4*u. Solve 3*d + 2*w = -10, 0*d + 4*w = -u*d - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -5, -0.6, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07838 to three decimal places.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 1 q when three letters picked without replacement from rbfxyyxq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/14 + -8\/7. What is the nearest to 1\/3 in -3, h, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 86492 = -86492. Which is bigger: 3\/4825 or y?\nAnswer: 3\/4825","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1394 + 1395. Let w be 0 - 7\/(21\/(-18)). Let i be w\/2 + -1 + 0. Solve i*h - 3 - c = 4*v, 0 = 4*v + 2*h - 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27327*t + 27327*t - 207*t**2)*((-2 - 2 + 1)*(-3*t - 2*t + 2*t) - 2*t + 4*t + 2*t).\nAnswer: -2691*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8084c - -5?\nAnswer: 80853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(57)*6 - sqrt(57)*1*4)\/(6*(sqrt(432) - 2*sqrt(432)*-5 - sqrt(432) - sqrt(432))).\nAnswer: 7*sqrt(19)\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 - -12.92. Let l = i + -13.22. Let v = l + 0.02. Sort 1\/3, v, 7 in ascending order.\nAnswer: v, 1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1372 - -2052. Let m = -247 + l. List the prime factors of m.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300630 divided by 50105.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 7*z**2 - 38*z. Let h(v) = -2*v**3 - 11*v**2 + 57*v. Give 5*h(c) + 8*m(c).\nAnswer: -2*c**3 + c**2 - 19*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 794512 and 52578.\nAnswer: 7150608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m**(-4\/3)*(m*m**0)**(-7\/3))\/((m*m*m**(-2))**(-36)*(m**(-2\/7))**(-2\/39)) assuming m is positive.\nAnswer: m**(-244\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(4\/3)*x)*x)\/(x**(-4)*x)*x**(-2\/5)\/(x**(1\/4)\/x) assuming x is positive.\nAnswer: x**(241\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 + 1 = 0. Suppose 8 = -v*s - 0, -2*s = -x + 10. Let o(w) = x*w**2 - 2*w**2 - 2*w**2. Let q(r) = -4*r. Determine q(o(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34084.03 centuries in decades?\nAnswer: 340840.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 130*d**2 - 2857*d - 126. Give p(23).\nAnswer: 2933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5220\/75 - 3\/5. Calculate the greatest common divisor of 46 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 14*n. Let p be 5 + -2 - (3 + 1). Let v be 0 - (3\/p)\/3. List the prime factors of m(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g - 5046 = -5578 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -35*i**2 + 9*i - 9*i. Let t(k) = k. Determine x(t(n)).\nAnswer: -35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 2*l. Let o be u(0). Sort o, -3, 10.\nAnswer: -3, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-9)\/420)*208\/(-130)*(-1)\/2.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-1 + (-9)\/(-15)). Suppose -g + 9 = 5*d, -n*d - 2*d = -g. Suppose 0 = -3*f + g + 5. Calculate the highest common factor of f and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 109*l + 1. Is g(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2. Let l(f) = -139*f**2 - 179*f**2 + 70*f**2. Calculate i(l(b)).\nAnswer: 123008*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 4. Let h be -10*5\/(-25)*1. Let x be s(h). Factor -2*i**4 + 44*i**3 + 60*i**5 - 86*i**x + 94*i**2 - 110*i**4.\nAnswer: 4*i**2*(i - 1)**2*(15*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 456*h + 317 - 229*h - 219*h + (-1 - 3 + 5)*(1 + 2*h - 1) + 0 + 0 + 3*h.\nAnswer: 13*h + 317","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 611951 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 3*q**2 + 62*q**3 - 25*q**3 + q - 35*q**3 to p*q + h + n*q**3 + c*q**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 0.08 (c) -1 (d) -0.18 (e) 77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwwowwogw?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 - 2*x**2 + 4*x - 3. Let b be g(1). What is the third derivative of -h**b - 30*h**2 - 42*h**4 - 10*h**2 wrt h?\nAnswer: -1008*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59*-19.\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 31. Suppose -u - l = -3*u. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -4*h + 106. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 272358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 6. Let f be k(6). Suppose f = -2*r - 2*r + 16. What is the second derivative of 4*b - 2*b - 8*b**2 + r*b**2 wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12142644 divided by -4\nAnswer: -3035661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1) + (-2 + 4 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 + -52. What is the remainder when a is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20237 + 4?\nAnswer: 20241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-2)\/(-3)))\/(-6*(-9)\/(-792))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 33*n**2 + 33*n - 35. Let r be a(-34). Let w(p) = 53*p - 7. Let d(z) = -2*z + 1. Let k(v) = r*w(v) - 5*d(v). Let s(o) = -6*o**2. Give k(s(c)).\nAnswer: 258*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.6249533 and -5.\nAnswer: -7.6249533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-104)*(-66930)\/46851\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -10. Let s = -14340 - -14340. Put c, s, -31 in descending order.\nAnswer: s, c, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/130*6*20\/96. Let m = 14\/65 - o. Which is the nearest to -1? (a) 1 (b) m (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(1 - 7 + 0)*(3*q - 3*q - q)*(0*q + 0*q + q)*(-1 + 1 - 1).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20793921 divided by 3?\nAnswer: 6931307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a**2 - a + 3. Let y(t) = 175*t**2 - 14*t + 5. Let u(z) = -145*z**2 + 12*z - 6. Let s(h) = 5*u(h) + 4*y(h). Determine -14*q(r) - 4*s(r).\nAnswer: -12*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38955479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 6:21 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven quarters of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 211, -3, 2, 108696 in descending order.\nAnswer: 108696, 211, 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*10 + 1691\/178)*6\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74329, 74328, 74327?\nAnswer: 74326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12012122833 from 2.\nAnswer: 12012122835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 0*r + r)*((-r**2 + 2*r**2 + r**2)*(4*r - 5*r + 0*r) - 34*r**3 + 670*r**2 - 670*r**2)*(2*r - 5*r + 4*r).\nAnswer: 108*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 170 - 5?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 54 = -7*a. Let i be ((-56)\/30 - a\/135)*-18. What is the third derivative of i*p**5 - 250*p + 21*p**2 + 250*p wrt p?\nAnswer: 2160*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/73 - 81\/949. Let f = -6.26 + 6.16. What is the nearest to -5 in f, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2259\/4 + 62123\/110. Let d(g) be the third derivative of 0 - 3\/44*g**4 - 23*g**2 - l*g**6 + 0*g - 9\/11*g**3 + 1\/22*g**5. Factor d(w).\nAnswer: -6*(w - 3)**2*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 - -1496.\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 7837.\nAnswer: 16\/7837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 10:27 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7455 + 7475. Let w(t) = -t**2 + 7*t - 1. Let i be w(7). Put 5, c, i in descending order.\nAnswer: c, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955499262 to the power of 1\/2, to the nearest integer?\nAnswer: 30911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 268*x**2 - 9247*x - 714. What is o(31)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mshmjmf. Give prob of sequence sj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4))**(8\/13)*(z\/((z*z\/(z\/(z\/z**6))*z)\/z))\/z*z**8\/z assuming z is positive.\nAnswer: z**(141\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/94 - 4692\/(-2397). Calculate the highest common divisor of i and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2257057 is divided by 398.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l - 4*l - 9 - l - 6*l. Calculate the remainder when t(-5) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003464 rounded to seven decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.6 rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5871 divided by -103\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 13*r - 47. Determine q(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -16*y + 2*y**3 - 7*y**2 - 3 + y**3 + 25*y - 2*y**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 52 - 34)*(-b - b + 4*b) + 0 + 10*b + 0 to w*b + x and give w.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o - 4*o - o + (5 - 4 - 2)*(0*o + 0*o - 2*o) + o + o - o + 3*o - 7 + 7)*(326*o + 37*o - 56*o).\nAnswer: 2149*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27\/2 + 129\/10. What is the nearest to 1\/3 in t, -0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) -986 (c) 29 (d) -12 (e) -2 (f) -0.6 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-13 + 4 + -4 + 0) - 1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*x + 83 = 0, 5*f - 257276 = -3*x - 257339 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 87. Let v = -1158.4992 + 1163.5. Let m = v + l. Round m to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 3. Let v(k) = -73*k + 60. Let z(n) = -6*u(n) - v(n). Is 72 a factor of z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/2617963 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + f)*(9*f + 3*f - 4*f)*(-3*f**2 + 8*f**2 - 6*f**2).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -12*z - 354. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/21*1*10\/((-170)\/17).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*l**2 + 170*l wrt l?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 108 = -3*t. Let q be (122 - -1) + 2249\/(-173). Let w = q + t. Solve w*a = -4 - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309707171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25961402, 25961400, 25961398, 25961396?\nAnswer: 25961394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6*l - 34 = 3*l, 5*l = 5*v + 40. What is the fourth biggest value in v, 2\/11, 0.9, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664123*h**3 - 3148935*h**3 - 202537*h**3.\nAnswer: -4015595*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47818938?\nAnswer: 2, 3, 7969823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21584, 21650, 21728, 21824, 21944, 22094, 22280?\n\"Answer: q**3 + 59*q + 21524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.6565 micrometers to kilometers.\nAnswer: 0.0000000356565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-22)\/(-1375)*(-8)\/(336\/(-315)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 3*l**2 + 4*l + 2. Let n be ((-1)\/(-2))\/(4*8\/(-192)). Let o be n\/(-5)*10*5\/(-10). What is w(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134.531 - 0.231. Let s = 135 - o. What is the nearest to s in -3, -6\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 4*q + 6*q)*(2*q + 3*q - 4*q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5 = -4*m, -383*m + 387*m = 3*y + 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (((-2450)\/5)\/(-10) - (13 - 11))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brr when three letters picked without replacement from {b: 1, r: 4, s: 6}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 465 = 2*b. Let z = -1872 - -1811. Let o = b + z. Calculate the highest common factor of 80 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 2657176.75?\nAnswer: -2657176.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**50 assuming m is positive.\nAnswer: m**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/14 and 89\/64495380.\nAnswer: 451467660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 + -10.15. Let u = 373576057.00000035 - 373576067. Let k = u - y. What is k rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 36. Suppose 2*n - g = -2*n. Find the third derivative of n*o**2 - 5*o**3 + 4*o**3 + 2*o**3 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.692 - 0.3.\nAnswer: 3.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*p - 2. Suppose -k = p*k - 21. Solve -4*j - 9 = k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 51*p - 2. Let n(k) = 3*k - 5. What is c(n(s))?\nAnswer: 153*s - 257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 131028044879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 42*c - 7 - 83*c + 40*c. Give n(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b**3 + 5*b**3 + 2*b**3 + b**3.\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 251\/2 + -124. Which is the closest to 1? (a) -5 (b) g (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*o**3 - 10886*o**2 - 1377*o - 2002.\nAnswer: 60*o - 21772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210 - (30 + 4))\/(0 + 2).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:39 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**5 - 1020*d**3*l**2 - 2*d*l**2 - 4*d + 4*l**2 + 183*l wrt d.\nAnswer: -120*d**3 - 6120*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in -3, -0.5, 54, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by (-14)\/8*(-5 + 4 + -11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985011266 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137.0163 - 137. Round h to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 7588173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 806575 and 108814300.\nAnswer: 1196957300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(3 + (-21)\/9). Let s = 82 - 79. Solve 2*r + s*r - 4*n - 2 = 0, 0 = -m*r - 4*n + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 194.7633292 to one dp.\nAnswer: 194.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 10. Let i = 4.5 - f. Let x = -0.5 + 0.8. What is the closest to -1 in x, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006401404 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/136080 and 13\/17899056?\nAnswer: 268485840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 + 3. Let w(r) = 3*r + 2*r - 6*r. Give d(w(g)).\nAnswer: -5*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -44030?\nAnswer: 44034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-33)\/88*4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.189 - 366.811. Let g = x - -366.5. Suppose -2*o = -0 - 2. What is the closest to 0 in g, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114807210 divided by 3\nAnswer: -38269070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47898 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -33. Let n = s + 8. Let q(u) = u**2 - u. Let l be q(0). Which is the smallest value? (a) n (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 4. Let g be 1\/((-591)\/(-1164)) + c. Let k = -556\/5319 - g. Sort -2, -3, k in decreasing order.\nAnswer: k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-4408))\/(6\/(-48))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2205060)\/(-10280))\/(13\/2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (9 + -43)) + -23 + 5\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 370270?\nAnswer: -370264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 22950.\nAnswer: -1\/4590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 257 + -112. Let p = 145.4 - j. Let k = 0.3 - 0.7. Which is the biggest value? (a) k (b) p (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -1259, -2845, -5061, -7901, -11359, -15429?\nAnswer: -20105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 18.4. What is the smallest value in f, -0.2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 4 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -21*h**3 - 2*h**2 - 6*h - 15. Let j be m(-3). Calculate the greatest common factor of j and 4600.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -201 - 95. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1545 by -309.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158044722 by 82573.\nAnswer: -1914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-1)*(-16)\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1627 and 1821.\nAnswer: -2962767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7739 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4266400720123\/2168 + 1967897098. Let b = y - -1\/542. Let m = -87 + b. What is the second biggest value in 0.2, m, 2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**2\/11 + 84*g\/11 - 32\/11.\nAnswer: -2*(g - 8)*(5*g - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1\/4, -4, 4, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*f - 5. Let q = f - 6. Let l = 7 - q. Calculate the lowest common multiple of 1 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/325?\nAnswer: 2\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*z - 69904, 143 = -5*z + 153. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73536938 to the power of 1\/2, to the nearest integer?\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 14336?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/8498865 and -97\/40?\nAnswer: 67990920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Let g(c) be the first derivative of 2*c**3\/3 - 3*c**2\/2 + c + 1876. Calculate g(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/120 and -1\/3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -221 + 357. Let g be ((-6)\/(-9))\/(2\/3). Suppose p = -g + 18. What is the highest common divisor of p and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from kekkekkkee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*g - 155400, -3*q = 4*g - 123895 - 83297. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**4\/4 - 7*c**3\/3 + c**2 + 10*c + 2. Let g be 10\/90*0 - (2 + 5). Give k(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000038024 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-404)\/(-16) - 12\/(-16). Let i(h) = h - 2. Let x be i(2). Suppose -3*r + 104 - c = x. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 33*s**2 - 2*s - 4. Let d be k(0). Let v(p) = -p + 12 + 9*p - 12. Let w(z) = 2*z + 2 - 2. What is d*v(t) + 18*w(t)?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**2 + 3*o**2 - o**2)*(9*o - o + 0*o) - 3*o**3 + 2*o - 2*o + (-5*o**2 + o**2 + o**2)*(2*o + 0 + 0) to t*o**3 + r*o + v*o**2 + b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 182 (c) -8\/5 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -2\/5, 3, -1\/8, 77, 1.48.\nAnswer: -5\/2, -2\/5, -1\/8, 1.48, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9860414 months in millennia?\nAnswer: 0.00016550345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 1. Let a(p) = p**2 - 8*p. Determine a(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 15. Let i be a(-8). What is the biggest value in -1, -0.03, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143113 (base 6) to base 9\nAnswer: -20650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*s = -7*s - 38, 3*s = 5*j - 45. Suppose 7*g - j = 64. Solve 3*l = l - g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1572\/7 - 1576\/7*w + 4\/7*w**2 = 0 for w.\nAnswer: 1, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/7 + 240*v**3\/7 - 4082*v**2 - 178572*v\/7 - 149760\/7 = 0?\nAnswer: -192, -5, -1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 10:30 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 11*l + 3. Let z(n) = n**2 - 4*n + 1. Suppose -50 = -4*g + 2*g + 4*s, -2*s + 9 = g. Let d(c) = g*z(c) - 6*y(c). Determine i so that d(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5058527, 5058529, 5058531?\n\"Answer: 2*x + 5058525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/4 of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrwwwwuwzwuauzwab. What is prob of picking 1 a, 2 w, and 1 u?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5450 divide 89772400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 186*c**2 - 14*c - 2551. Calculate s(-186).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 0*m - 15. Let n(u) = 2*u - u + 1 - 2 - 3. Let w be n(7). Solve -3*a = w*x + 9, -m*a + 2*x - 10 = 4*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8082883?\nAnswer: 2131, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58871*i**5 + 92*i**3 - 188*i**2 + 7119*i.\nAnswer: 3532260*i**2 + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157762 and 6106.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*5*sqrt(210))\/sqrt(5))\/(sqrt(18)\/(sqrt(3) + sqrt(3)*4)*6).\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16955817\/1396 - -12146. Calculate the common denominator of -7\/22 and q.\nAnswer: 15356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*q, -4*f + 0*q - q - 19 = 0. Let i = 2.5 - 1.8. Let l = 0.6 - i. Put l, f, 0.4 in increasing order.\nAnswer: f, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5185552562.\nAnswer: 2, 2592776281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 + 52. Let h = x + 93.4. Let d = 7.562 - h. Round d to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 9*d**2 - 10*d + 12. Let n be u(10). Which is smaller: 11 or n?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -a - 9 + 3, -10 = 5*a. Solve -2*d + 5 - r = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39248977 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 3969.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**2 + 445*v - 374. Let r be z(-75). Let q = -1.1 + 1. Let t = -4 - -4.1. Which is the closest to t? (a) q (b) 4\/9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08302331074 minus -6075?\nAnswer: 6075.08302331074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10036.0006247 + -10036. Round b to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 4 + 3 - -4. Let g = -13 - -22. Calculate the greatest common divisor of g and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, j: 1, c: 9, x: 1}. Give prob of picking 1 p, 1 x, and 1 j.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 66, 131, 196, 261, 326?\n\"Answer: 65*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -11*a**2 - 1513*a + 156. Determine v(-138).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4 (base 16) to base 5.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 107673 - -34?\nAnswer: 107717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2314134303 + 11?\nAnswer: -2314134252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.4 * -0.5.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 w when three letters picked without replacement from xwayaywxwwgyxyyx?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 - 927140*c - 1854260 = 0. Calculate c.\nAnswer: -185426, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9098 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4238613 to the nearest integer?\nAnswer: 2059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*n = -1, -5*n - 2122 + 1074 = 5*s - 1073 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62350, -124708, -187066, -249424?\n\"Answer: -62358*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -7. Let g = -85 + 151. Suppose -g = -4*i - 2*y, -3*i - 5*y + 53 = -0*y. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2. Let v(y) = -86479*y**2. Determine a(v(h)).\nAnswer: 7478617441*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/5 and -43\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 1067 - 1070 + 7*s + 6*s**3 - 7*s**2 - 4*s + s in the form r*s**3 + d*s**2 + f + z*s and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 6*h**2 + 20*h.\nAnswer: -2*h*(h - 2)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12129199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 33*s - 37*s + 47*s - 16*s**2 + 7. Calculate the remainder when y(4) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 381 - 381 - 15*h to s*h + u and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2852 and -2.\nAnswer: -1.7148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 + 2 = 0. Let k be (-5)\/(25\/(-35)) - -2. Suppose 0*j - 9 = -3*j + 3*s, -f*s + k = j. Solve 5*b = 3*r - 16, -j*r - 2*b - 19 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*z + 275*z - 488 = 6 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*v = -840. Suppose -209 = -b + v. Suppose -57 = j + 3*x - b, 3*x = 9. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b6 (base 14) to base 11\nAnswer: 2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446251643?\nAnswer: 446251643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -128503*q + 1413496. Give u(11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -69*w**6 + 68*w**2 + 13*w. Let z(m) = -35*m**6 + 34*m**2 + 6*m. Let o(r) = 6*d(r) - 13*z(r). Find the third derivative of o(y) wrt y.\nAnswer: 4920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7114 and 6.7?\nAnswer: -47663.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 65.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.64 times -0.4\nAnswer: -0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -435 - -625. Calculate the smallest common multiple of 5 and z.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142 divided by 2906?\nAnswer: 1071\/1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 65439 = -3*g, -5*w + g = -3*g - 163609. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 154, 66, -176, -650, -1434, -2606, -4244, -6426?\n\"Answer: -13*m**3 + m**2 + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886 = p - 2*u + 196, 0 = -2*p - 2*u + 1362. Let z = 340 + p. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-3))\/((-75)\/315). Let r = 20 + -10. Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from dmgddmzzmma.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26358)\/3820 + 102\/180 + (-4)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 - 1707*b - 3586. Let y(z) = 4*z**2 - 1707*z - 3544. Let c(n) = -3*a(n) + 4*y(n). Solve c(o) = 0.\nAnswer: -2, 1709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 4) in base 8?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/3 - (2 + -3)\/3. Suppose -2*t + 28 = 2*y, -t + 2*y = -a*y - 20. Let g(j) = 11*j - 15*j - t*j. Let n(o) = -o**2. What is g(n(l))?\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -791*v + 9116 = -35*v + 44 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 28515668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2888427.01 to the nearest 1000.\nAnswer: -2888000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 20. Let y = 10 + z. Let r = y + 2. What is the third smallest value in 7, r, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n - 155 = -1013. Is 31 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 5:30 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -184 in -5, -7551, 0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51*((-448)\/21 - -21).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-2\/9)\/l*l))\/l)**48)**15 assuming l is positive.\nAnswer: l**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3462 - 0.1112. What is the second biggest value in -3, -5, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.05169, 1380 in decreasing order.\nAnswer: 1380, 2\/7, 0.05169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -60*l**2 + 19*l + 125. Let i(j) = 61*j**2 - 16*j - 124. Let c(s) = -6*i(s) - 5*m(s). What is the second derivative of c(a) wrt a?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**7\/315 + k**6\/180 - k**4\/6 - 8*k**2. Let v(z) be the second derivative of p(z). Find the second derivative of v(m) wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 16 (c) 2\/7 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from lugao.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/317 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168 + 3.4?\nAnswer: 1171.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b + 2. Let z(u) = u**3 - 14*u**2 + 31*u + 5. Let s be z(11). Let m = 59 - s. What is the remainder when m is divided by h(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 1 - 1)*((3 - 3 - 1)*(2 + 0 - 3) + 3 - 7 + 2).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:24 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1362490 + -1362487. Factor -38\/7*a**2 + 50\/7*a**n - 2\/7 - 32\/7*a**4 + 2*a + 8\/7*a**5.\nAnswer: 2*(a - 1)**3*(2*a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104702 is divided by 3730.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -81. Calculate the highest common divisor of 36 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.401*906\nAnswer: 2175.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890176506 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31486 is divided by 1873?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1118981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -27146.7753 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**3 - 36. Let h(i) = -3*i**3 + 24. Let o(l) = -8*h(l) - 5*k(l). Differentiate o(t) wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**4\/4 + 4*p**3\/3 + p**2 + 7*p - 55. Calculate b(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 2*l + 3*l)*(6 - 1 - 3) - 9*l + 20*l + 10*l in the form y*l + m and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353377 is divided by 23485.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 13. Calculate d(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -490*g**2 + 2*g - 8 + 501*g**2 + 4 + g**3 to h + q*g**2 + b*g**3 + l*g and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 540.3 + -541. What is the nearest to 0.2 in 2, g, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 8996*o + 8030955.\nAnswer: (o - 7991)*(o - 1005)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214074 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 x(u) = -3*u**2 + 12*u + 4. Let n be x(4). Suppose 0 = -4*l + 3*q + 448, 0 = n*l - q - q - 448. Calculate the highest common divisor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18221900 rounded to the nearest 100000?\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/5)*h)\/(h*h**(-5\/4)*h) assuming h is positive.\nAnswer: h**(29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:46 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 27. What is h(-23)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - j)*(-5*j + 2*j + 4*j) - 7*j**2 - j**2 + 3*j**2 - 2 + j**2 + 2 + (-2 - 3 + 3)*(3*j**2 - 6*j**2 + 2*j**2).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15428 and 0.08?\nAnswer: -1234.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, -2, -0.04, -3\/7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o**(-1\/7)*o)\/o)*o*o\/o**(-8)*o assuming o is positive.\nAnswer: o**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9473.628 microseconds to nanoseconds.\nAnswer: 9473628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8444978371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.5, -16, 1, 0.19, 0.2 in descending order.\nAnswer: 1, 0.4, 0.2, 0.19, -0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/35 - 54\/(-15). Let k(g) = -4*g**3 + 16*g**2 - 21*g - 25. Let n(w) = 7*w**3 - 32*w**2 + 41*w + 49. Let q(p) = d*n(p) + 5*k(p). Is q(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(18)\/sqrt(6) + 5 + (sqrt(192) - (-3 + sqrt(192) - sqrt(192))) + -1)*-5)**2.\nAnswer: 3150*sqrt(3) + 7300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1519 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2624, -2547, -2418, -2237, -2004?\nAnswer: -1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q - 14. Let l(p) = 5*p + 7. Let k(h) = -11*l(h) - 6*s(h). Let w(g) = -g**2 - 5*g - 1. Let z be w(-4). Calculate k(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k - 7*k - 9*k. Let z(h) = 2 - 2 - 212*h - h**2 + 212*h. Give p(z(t)).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 4\/37, -2 in descending order.\nAnswer: 19, 4\/37, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 50 + 6 = 0. Suppose f*q = 8*q + 48. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r. Suppose -u + 1 = 5*c - 17, -5*u - 5*c + 30 = r. Let 0*g - 32*g**4 + 30*g**2 - 7*g - 48*g**u + 0*g + 3*g = 0. Calculate g.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + c**2 - c + 1. Suppose -4*y - 4*p = -8, -3*y - 10 = -0*p - 5*p. Let f be x(y). Put -2, 2, f in decreasing order.\nAnswer: 2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 392, 3078, 10362, 24542, 47916, 82782, 131438, 196182?\n\"Answer: 383*l**3 + l**2 + 2*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240528.\nAnswer: 2, 23, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 333 - 321. Let s(l) = l**3 - 13*l**2 + 16*l - 42. Give s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -13. Let f = z + -12. Sort f, 1\/2, -0.1 in descending order.\nAnswer: 1\/2, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -55.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 36 = -6*b. What is the smallest value in b, -0.5, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1 = -k, -7*t + 6*t - 3*k - 13 = 0. Calculate the least common multiple of t and -67*(-4)\/(-4)*-2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 33*d**2 - 14*d**2 + 2*d - 12*d**2 + 7*d**3 - 5*d**2. Let l(f) = f**3. Give a(m) - 6*l(m).\nAnswer: m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5394 and 372?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u**3 - 13*u. Let p(f) = -7*f**3 + 6*f. Let v = -22 + 40. Suppose 0*a - 31 = -a. Let b = v - a. Determine b*p(q) - 6*d(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 121450162 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 9:26 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y**3 - 2*y**2 - 4. Let i(v) = -48*v**3 + 9*v**2 + 17. Let p(f) = -9*a(f) - 2*i(f). What is the derivative of p(r) wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*o - 342 = -265*o. Solve 4*c + 23 = o*q - 3, 0 = 5*c + 3*q + 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6 - 10*d + 6*d - d - 13*d**2 - 2 + 13 - 3. Let m(x) be the second derivative of -x**4\/2 - x**3\/2 + x**2\/2 - x. What is -3*l(u) + 5*m(u)?\nAnswer: 9*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 117 = 47. Suppose 30 = i*u + 70. Put 12, 4, -5, u in ascending order.\nAnswer: -5, u, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/(1639\/(-8195))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 5, -2, -0.23, -0.2, -3.\nAnswer: -3, -2, -0.23, -0.2, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 7*v - 7. Suppose 2*g = -5*p + 18, g + 5 = p - 0. Let f be (-5 - -7 - p) + 3*-1. Determine c(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 13. Let z = 276 + -255. What is the highest common factor of j and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = -20. Suppose -k - 1 = -s. Suppose -28 = k*p + 2. Does p = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425726, 851373, 1276940, 1702427, 2127834, 2553161?\nAnswer: 2978408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(sqrt(108) + 1*sqrt(108))\/sqrt(9))\/(sqrt(144)*-5 - -6*2*sqrt(4)).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5aa2 (base 13) to base 4\nAnswer: 3020013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 + -11?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/20529, 3 in ascending order.\nAnswer: -1, 2\/20529, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 219\/4 + 15\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*y + 453*y - 801 = -4*j - 701, -3*j - 3*y = -90 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 169*g - 160*g + 0*g**2 - 3*g**2 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 12 = -12*z - y, -y = -3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j**3 + 0 - 1\/15*j**5 + 3*j**2 + 0*j**4 + 0*j. Let m(z) = -2*z. What is v(m(r))?\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134.38 - -2.62. Which is the smallest value? (a) -3 (b) d (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*n**2*x + 51*n**2 + 4*n*x + 13*n - 70 wrt n?\nAnswer: -44*x + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 6*t - 10. Let h be g(7). Let f = 3 + h. Round f to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(700) - (sqrt(567)*-2 - sqrt(567)).\nAnswer: -1 + 37*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 4*r**2 + 4. Let f be 319\/99 - (-2)\/(-9). Let h be d(f). Sort h, 5, -3 in decreasing order.\nAnswer: 5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**2*v + 277*q**2 - 19*q*v**2 - 15*v + 1 wrt v?\nAnswer: q**2 - 38*q*v - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 630\/(-455)*(-2)\/(-6)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(30*v**5 - 5252 + 10503 - 5261).\nAnswer: -90*v**5 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106121561*b**2 + 39*b - 73341 wrt b.\nAnswer: -212243122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m = 2*m + 434. Suppose 434 = m*v - 5978. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/74530 and 41\/9.\nAnswer: 670770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*9\/(216\/(-32))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29267442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) 2 (c) 9\/2 (d) -3 (e) 2\/5 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 351101453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 1477281 - 1477281.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6094173.9 times 3\nAnswer: -18282521.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/305 + -963\/2440. Let h be 144\/120*1\/2. Which is the closest to 2? (a) -4 (b) h (c) m (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7325953 - 24525953. What is t rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73244876.\nAnswer: 2, 18311219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Suppose -41*o + 18 = -38*o. Suppose s*q = o*q. Solve -2*n - 2*z + 6 = -q*n, -4*n - z = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 417 or 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 11*g**2 - 9*g + 19. Let q be i(9). Round q to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21557 minus 0.48?\nAnswer: 21556.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15096778*g**3 + 11976323*g.\nAnswer: 90580668*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 4*t + 7. Let v be a(-4). Let l = -2 + v. Let r(y) = -y**3 + 5*y**2 + 2*y + 4. Let n be r(5). Solve n = -3*s + k - 6*k, l*k - 7 = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2. Let s(n) = -n**2 - 6*n - 1. Let m(d) = -2*c(d) + s(d). Let x(q) = -5*q**2 + 24*q + 3. Let r(a) = -9*m(a) - 2*x(a). Calculate r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(450) - (sqrt(450) + -1*sqrt(450))) - sqrt(450)) + sqrt(450)*2*3 + sqrt(450))\/(sqrt(150) + (sqrt(150)*-1 - sqrt(150)) + 6*sqrt(54)\/sqrt(9)).\nAnswer: 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 448 - 444. Calculate the highest common divisor of 46 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 + 2*p - p**2 - 2*p**3 + 0 - 1 + 2 as g*p**2 + d + r*p**3 + l*p + j*p**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x**2 - 2*x + 1. Let f(o) = -63*o**2 - 10*o + 66. Let k(q) = -f(q) + 5*p(q). Let l(u) = -16*u. Determine k(l(g)).\nAnswer: 768*g**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2 - -8) + -5 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-32)\/(-12))\/(20\/15342). Let v = -2054 + t. Find the common denominator of 1\/9 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + o**4 + 2*o + (-371 - 51*o + 371)*(39*o - 22*o - 56*o)*(0*o**2 + 3*o**2 + 0*o**2) as k*o + z*o**3 + r*o**2 + d*o**4 + f and give d.\nAnswer: 5968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -5*t + 858 + 363. Is 272 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36029)\/4)\/((117\/(-12))\/39) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*u + 12418, 4*y + 792*u = 789*u + 49663. What are the prime factors of y?\nAnswer: 5, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 26*x**2 - x + 195. Let r(w) = -w**4 - w**3 + w - 1. Let b(s) = n(s) + r(s). What is the derivative of b(k) wrt k?\nAnswer: -4*k**3 + 52*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.884939251 to five dps.\nAnswer: -0.88494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + ((-1)\/2 - 63\/14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2936*v + 9580*v + 2510*v - 856*v as l + w*v and give w.\nAnswer: 14170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 73, 2\/7, -0.12 in decreasing order.\nAnswer: 73, 1, 2\/7, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*x = -13, 6*x - 17 = 5*b + 3*x. Let v be (-10 - -9)\/(b*1). Solve 2 = -g - v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 22*d**2 + 7*d + 10. What is the hundreds digit of n(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 32*y + 16*y + 6*y + 13*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/6 - -16) + (-7423)\/(-702) + -10.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312431242 (base 5) in base 7?\nAnswer: 36421102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -990 + 3180. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 8) to base 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 533370000 to the nearest one million.\nAnswer: 533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22029 is divided by 5433.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**3\/3 - 3*x**2 + 6*x + 46. Let c = -3 + 2. Let k be 4*((-2)\/2)\/c. What is n(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3198736336 rounded to four dps?\nAnswer: 0.3199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 68*l + 234. Let x be s(-18). Which is the third biggest value? (a) -0.11 (b) x (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 2*j - 2. Let x be v(-2). Suppose 272 = 4*c + 3*k - 25, -5*c = -4*k - 379. Calculate the remainder when c is divided by 2*(2 + 45\/x).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2472, 2439, 2402, 2361, 2316?\n\"Answer: -2*y**2 - 27*y + 2501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -70?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 59?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -9. Let r = -1058 + 1089. Let i = r - l. Solve -i*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 1. Let k = -33 - -32. Let l(q) = q - 4. Let n(p) = k*l(p) + 2*u(p). Suppose 0 = -3*j - 4*i + 4, 5*j - i + 4*i = -8. Calculate n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7460 divided by 5.\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 9*q = -20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-11))\/(u*u**(-10))*(u**(-14)*u)\/(u*u**12) assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 - -110. Sort -1\/2, 0.2, k in increasing order.\nAnswer: k, -1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3\/4 - 14900185*d**2\/4 + 5*d\/4 + 14900185\/4 = 0. Calculate d.\nAnswer: -2980037, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(33)\/((sqrt(11) + sqrt(11) + 2*sqrt(11))*6 + sqrt(11) - sqrt(11)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 - 3*d**3)*(-11 + 11*d + 11 + (0*d + 2*d - 3*d)*(0 - 2 + 3)).\nAnswer: -30*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*c - 83*c = -7*c + 4215 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4 and 127\/18404568.\nAnswer: 18404568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -829 and 14?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11555 is divided by 9393?\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.98 and 3205.\nAnswer: 3203.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 + 543*k\/2 + 1085\/4.\nAnswer: (k + 1)*(k + 1085)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wedfdeddefbdded. What is prob of picking 1 d, 1 e, and 1 b?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*o**4 - 368*o**4 + 102*o**4 + (0*o**3 + o**3 - 2*o**3)*(5*o - 4*o + 0*o) to a*o**4 + k + u*o**2 + l*o + g*o**3 and give a.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:27 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 6, f: 4}. Give prob of sequence fg.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let w be 11524\/774 - 60\/4. Is w less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 260 + 126 + c - 3*c**3 + 133. Let j(d) be the second derivative of -d**3\/6 - d**2\/2 - 6*d + 4. Determine -2*j(z) + n(z).\nAnswer: -3*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -69, -122, -177, -234?\n\"Answer: -m**2 - 50*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**3 - o**2 - o - 1. Let f(t) = -t**3 - 7*t**2 - 2*t. Let u be f(-7). Let n be (-10)\/45 + u\/(-18). What is g(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**11\/d)\/d*d*d**(-2)*d)\/(d\/(d*d**(-3)*d))**(2\/5) assuming d is positive.\nAnswer: d**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.292 - 111.138. Let x = 120 + o. Let d = -1.4229 - x. Round d to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:28 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-42)\/(-20) - 2)\/(40\/(-904)) and 65\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 205 in 121, -0.446, -1?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v + 15. Let w = -5 - -5. Which is the nearest to w? (a) -0.5 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20 = -3*z - z, -2*z - 2*p - 18 = 0. Let y be 7\/(-2)*4\/z. Let t(j) = -4*j**y + 3*j**2 + 4*j**2 - 5*j + 7 - 4*j**2. Calculate t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 2. Suppose 3*y = 4*s - 14 + 38, 2*s = 4*y - 22. Suppose -5*v = -29 + y. Let b(x) = -x + 2. Let d be b(v). Determine w(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*n + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17969 - 20839. What is the thousands digit of (6\/12)\/((-12)\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(64)\/sqrt(72))\/(sqrt(256) + sqrt(256)*-1 + sqrt(256)))*4)**2.\nAnswer: 20*sqrt(2)\/3 + 7201\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/8)\/(270\/24534). Let c = p + 397\/5. Solve -c*m**4 - 5 + 255\/4*m**3 - 335\/4*m**2 + 145\/4*m = 0.\nAnswer: 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-11)*p)\/p*p*p)\/(p**(-14\/9)*p) assuming p is positive.\nAnswer: p**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 690, 1014?\nAnswer: 1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449850 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2.6 (b) 7 (c) -7 (d) -1\/4 (e) 1\/5 (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663882681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - c - 72. Calculate r(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 12 = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 616807176*c - 705006006?\nAnswer: 616807176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/2352*-14*17 and -25\/216?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431543.\nAnswer: 7, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2548)\/(-21021)*(-11)\/(-30)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8412470 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 - (17 - 90) - (0 + -4 + -88).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7526872.\nAnswer: 2, 853, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-402)\/(-27) - 3\/(-27). Let u = -15 + n. Let o(s) = 12*s - 34. Let d be o(3). Solve u*c - 3*i = -3*c - 6, -d*c + 5*i = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*w**3 - 30*m**2*w + 30*m**2 - 57666330*m*w**5 - 4411*m*w - 2*w wrt w.\nAnswer: 6*m**2*w - 1153326600*m*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = 14. Let n = -51 - -74. Calculate the remainder when -1 + n + (-11)\/(55\/(-15)) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*l + 2*z, 0 = -l - l + 4*z + 8. Suppose -51*r + 46*r - 1195 = 0. Let f = -238 - r. Solve -l - f = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 9*a**2 + 10*a - 6. Let t be j(10). Let f be ((-4)\/t - 2) + (-36)\/(-27). Solve -4 + f = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119470 is divided by 29765?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7634467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136 - 262. Let q = -108 - u. Let h(d) = -d**2 + 8*d. Let v be h(6). What is the highest common factor of v and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(2 + c - 2)*((-3 + 5 - 4)*(-9 + 0 - 1) - 2 + 0 + 4) in the form y + r*c and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 248 - 248.84. Let m = -24.16 + 23. Let r = n + m. What is the closest to r in 3\/5, -4, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 211, -0.8, 4.\nAnswer: -0.8, 4, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + 83307*x + 6 + x**3 - 83305*x + 5*x**2 + 4*x**4 + 0 in the form n*x**2 + q*x**3 + c + t*x + j*x**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110 or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34403875 is divided by 160018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -8\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 407\/10 + -81\/2. Let -2\/5*n + 1\/5*n**2 + k*n**3 + 0 = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = -5*v + 5*y, -315 + 910 = 5*v + 2*y. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1372 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y. Let d(i) = -20*i**2 - 3. Determine n(d(z)).\nAnswer: -120*z**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**3 + 25*f**2 + f - 9*f**3 + f - f to p + v*f**3 + b*f + i*f**2 and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51510245.\nAnswer: 5, 59, 283, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(3 - 2) + 574. Let u = 839 - n. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 6. Let l be (7 - 3) + (-3 - -1)*-2. Let u be (-54)\/l + 4\/(-16). Give w(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2222, 3867, 5512, 7157?\nAnswer: 8802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Let w(r) = 2*r**3 + 7*r**2 + 7*r + 4. Let u be w(j). Solve -12 = f - m - 3, -u = 2*f + 2*m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 + 8*b**3 - 7*b**2.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 16 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 121 in 5532, -2\/9, -0.6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:22 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/3672 and -37\/6528.\nAnswer: 58752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 94852407512835*r + 94852407512835*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0629638558 to five decimal places.\nAnswer: 0.06296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 178?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 59, 65, 71, 77, 83?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 29 - 32 = 0. Does -11 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 10*m**2 + 16*m - 27. Let x be l(-8). Which is greater: -282 or x?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - 2*c**2 - 2*c**2)*(-2*c**2 - 3*c**2 + 6*c**2) + 2*c**4 + 0*c + 0*c + (-77265 + 77265 + 2607*c)*(-c**2 + c**2 + 2*c**3).\nAnswer: 5217*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from {z: 1, j: 2, e: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(7\/(-2) + 1). Let v = r + 69. Suppose u = z - 5*z + v, 0 = -2*z + 4*u + 28. Calculate the remainder when 51 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 15 - 786*c**2 + 380*c**2 + 407*c**2 + 11 + 13*c. Calculate k(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 109*l + 111*l - 8, l + 5 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by 17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 16*b - b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 30, 2 in increasing order.\nAnswer: -3, 2, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 39\/11, 0.4, 7?\nAnswer: 39\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/35 and 47\/170?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 26*l - 4 = 0. Solve 0 = -l*i - 3*i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {t: 2, z: 1, f: 1, i: 4, g: 2, d: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**7\/10 - m**6\/24 - 44*m**5\/15 + 3065*m**2. What is the third derivative of x(y) wrt y?\nAnswer: -504*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in nine tenths of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -10. Sort 5, -1, 2, u in increasing order.\nAnswer: -1, 2, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -2 + 28\/16)*-4. Let r be (-26)\/(-6) - ((-22)\/j + -8). Which is the third smallest value? (a) 1\/4 (b) 4 (c) -0.6 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-14))\/l**5)\/(l*(l**(-3)\/l)\/l*l*l**(1\/11)))**(21\/5) assuming l is positive.\nAnswer: l**(2982\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69207*f**3*y + 29*f**2*t*y + 11*f**2*y + 95*f*y + 30122*t - 20*y wrt f?\nAnswer: -415242*f*y + 58*t*y + 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*h**2 - 15104*h - 13*h**2 - 14878*h + 29979*h.\nAnswer: 29*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8098 = -3*q + d - 0*d, 0 = q + d - 2706. What are the prime factors of q?\nAnswer: 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5954680213?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 4*a + 4*a + a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11378 is divided by 265.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = i - 802*r + 805*r, -3*i + 4 = -5*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 188 = -3*t - t, -t + 5*n = -67. Suppose -m - 10 + t = 0. Calculate the remainder when 6*1315\/130 + 24\/78 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - -4*2*sqrt(88)) + -1*sqrt(88)*-2)\/(2*(sqrt(8) + sqrt(40)\/sqrt(5)) + sqrt(968)*1).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30320 (base 4) in base 15?\nAnswer: -39e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**4\/12 + 11*h**3\/6 - 4*h**2 - 1012*h. Calculate m(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g - 2*g + g)*(-2 + 0 + 3) + 48 - 48 + 609*g)*(-2*g - g + 4*g).\nAnswer: 608*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 684 divided by -9\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 0*m - 8. Suppose -l - 56 = -m*l. What is the greatest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4 + 392*z**3 + 818730*z**2 - 2459664*z = 0?\nAnswer: -551, 0, 3, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 - 2*i - 1. Suppose 28*o - 29*o = -2. Suppose -5*a + o*a + 11 = -m, -5*a + 24 = 4*m. Suppose a*u = -3*n + 1, 0*u - 3*u + 3 = 0. What is c(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 463 - 927\/2. Which is smaller: g or -5.22?\nAnswer: -5.22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, t: 4, u: 9}. What is prob of picking 1 q and 2 t?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 431*x - 42082. What is d(82)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 66, -2, -21 in decreasing order.\nAnswer: 66, 10, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-6))\/(45\/(-135))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/((-13)\/(-3)). Suppose 0*i - 2*i = 16. Let f(y) = -y**3 - 8*y**2. Let b be f(i). Is b bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14076 - 14076.0786. What is the second smallest value in 8, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - 0.43. Let o = -5 + 8. Which is the third smallest value? (a) s (b) 2\/9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 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: Let k(x) = 2*x + 5. Let v(t) = -2*t - 6. Let l(a) = 6*k(a) + 5*v(a). Suppose 4*i = 9*i - 45. Let d(r) = 1 - 8*r + i*r - 1. Calculate l(d(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222237468 to the nearest integer?\nAnswer: 14908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071 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: What is the biggest value in 63, 0.4, 5, -16?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 9. Let o(x) = 3*x - 3593 + 3593 - 2*x. Calculate -d(g) - 3*o(g).\nAnswer: -2*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -305710*u + 30. Let s be v(-7). What is s rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 158, -11, -746, 21 in descending order.\nAnswer: 158, 21, 0, -11, -746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558 is divided by 492.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 403\/96 - 161\/32. Suppose 19 = -4*x + l, 14 = -3*x + 3*l - 7. Let t be 11\/x - (1 + -3). Which is the second smallest value? (a) r (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 6:51 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -435 + 434 - (1 + -13 + 2 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3. Suppose -5*d - 16 = -d. Suppose 5*w - 1 = 6*v, 0 = w + 3*v - 10 + 35. Let i(b) = -b**3. What is d*g(l) + w*i(l)?\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**3 - 6*o**2\/5 - 1936*o + 2904\/5 = 0. Calculate o.\nAnswer: -22, 3\/10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209*w**2 - 10*w + 4348 with respect to w.\nAnswer: 418*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1754489560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*g**2*i**3 - 223*g**2*i**2 - 2*g*i**2 wrt i.\nAnswer: -264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-17*m - 9*m + 17*m)*(4 + 8 - 10).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3891 by -2.\nAnswer: -3891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - 3*p**5)*(-6 - 1 - 4).\nAnswer: 33*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -7*i**4\/4 - 19*i + 16. Find the first derivative of t(o) wrt o.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -883, -856, -829, -802, -775?\n\"Answer: 27*b - 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-29 - -25 - (-10 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -524950 to the nearest ten thousand.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934570.\nAnswer: 2, 5, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199135427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:49 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by ((-11)\/(-3))\/((-34)\/(-204)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 121 = 77. Sort -62, n, -2 in ascending order.\nAnswer: -62, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**4\/2 - 44*j**3\/3 + 161*j**2 - 784*j - 1392. Find f, given that y(f) = 0.\nAnswer: 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/2 (b) 7 (c) -0.2001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 13*h**9\/15120 - h**5\/120 + 5*h**4\/24 - 7*h**2. Let p(c) be the second derivative of y(c). Differentiate p(x) wrt x.\nAnswer: 52*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6419 - -6420. Is 3560\/9 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*1 + -2 - (sqrt(637) + (sqrt(637) - -1*sqrt(637))*6) - (-5 + (-1 + sqrt(637))*-6))**2*-5.\nAnswer: -114705 - 1260*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2 = 3*s, -3*s + 4*s - 14 = -5*v. Suppose v*c + 2*x = 213 + 5, 5*c = 3*x + 553. Suppose c = 2*y - 112. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:10 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p*p**0*p*p))**(2\/15)\/((p**1*p)\/p*p\/(p*p**(1\/5)*p*p)))\/((p**(2\/7))**(2\/45)*(p**0)**(28\/3)) assuming p is positive.\nAnswer: p**(206\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 7. Let q(a) = -2*a - 13. Let o(h) = -5*b(h) + 3*q(h). Let f(p) = -5*p - 25. Let t be f(-5). Suppose 9*s - 2*s = t. Give o(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 15*u**2 + 14*u - 1. Let k be t(-14). Let c(v) = -v**2 - v. Let i be c(k). Let j be (4 - 0)\/(-1 + 2). Solve -q = j - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -20801060.\nAnswer: 23\/20801060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 12. Solve -2 = -y*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*t - 39 - 1. Let x(q) = -3*q**3 + q**2 - 6*q - 8. Calculate the remainder when x(t) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(70) + sqrt(70) + 3*sqrt(70))*-3)\/(-1*1*(sqrt(10) + 1*sqrt(10))))**2.\nAnswer: 39375\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7703562 is divided by 39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124631511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 1:56 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {i: 2, x: 1, r: 4, s: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 217*n = 3942 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*b**2*i*k*r - 3*b**2*i*k - 154*b**2*r**2 - 2*b*i*k*r**2 + 17*b*i*r**2 + 5*b*k + 2*i*k*r**2 - 3*i*k wrt b.\nAnswer: 26*i*k*r - 6*i*k - 308*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-11 + 4 - -11 - (-5 + 3)) - 62?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k**3 + 6*k**2 - 7*k - 1. Let g(s) = s**3 - s**2 + s. Let v(o) = b(o) + 6*g(o). Let i be ((-15)\/(-45))\/(2\/(-6)). Determine v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + 25*h + 7 + 7 + 15*h to p*h + q and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/9 - (-4)\/6. Let n be (-4)\/(-5)*(-20)\/(-8). Suppose -n*w + t = -0. Solve 3*m + w = 6*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a9 (base 11) to base 8\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 = -2. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -672425*o**2 - 179*o + 437 wrt o.\nAnswer: -1344850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(143)*-1*-5 + sqrt(143) + sqrt(143))\/(sqrt(22)\/sqrt(32) + sqrt(11)).\nAnswer: 28*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:15 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 24. Let x(q) = 13*q**2 + q + 8. Let z(n) = -3 - 5*n**2 + 1 - 3*n**2 + 5*n**2. Give p*z(j) - 2*x(j).\nAnswer: j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1152 - 820. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 7*v = -40, w - 3*v - 134 + 120 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbr when three letters picked without replacement from {z: 2, m: 1, i: 2, r: 2, b: 2, h: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24291 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 379 = 5*o - 79, -u - 58 = -3*o. Let s = -75 - -152. Let p = u + s. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 88088.\nAnswer: 264264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*-6*(-1)\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/1040 and -33\/33878.\nAnswer: 1355120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**2*v**3*z - 38*o**2*v*z + o**2*z + 4*o*v**3 - 11*o - 2*v**2*z wrt o?\nAnswer: 2*v**3*z - 76*v*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -k - 4*k. Let l be (-20)\/12*(k - 2). Let h(f) = -4 - 2 + f + l. Calculate h(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/4 + 79*x - 6241 = 0.\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*l - 7 - 6, 3*l - 8 = -c. Let t be -8 + l + (-10)\/(-2). Solve m - 2*m - 3 = t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 2. Let m(r) = r**3 - 8*r**2 - r - 1. Let k be m(u). Which is greater: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1091665748 divided by -549404\nAnswer: -1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1999941\/53 + 37733. Let l = 3015\/424 + c. What is the common denominator of (-105)\/(-63) + 119\/18 and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*h - 1, -2*w = -h - 26. Which is smaller: w or 27\/2?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/9 - 32*d**2\/9 + 67*d\/9 - 34\/9 = 0.\nAnswer: -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 f when three letters picked without replacement from {m: 4, z: 1, u: 2, a: 1, o: 8, f: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -33. Find the common denominator of (-48 - 1)*(-101)\/404 and (-3)\/12*(-2)\/u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -186 - -190. Let r be g\/8 + 58\/4. Solve -r*l = -11*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 + 6*n - 6. Let p(h) = h. Let j(v) = -c(v) - p(v). Let r be ((-16 - -28) + -10)*7\/2. What is j(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/4720 and 57\/116080?\nAnswer: 6848720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4625*l**3 - 13925*l**3 + 4635*l**3 + 4644*l**3.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1 + (6 + 0 - 5)*(13 - 39 + 6))*((-5 + 1 + 3)*(4 - 4 + 2*p) - 2*p - 3*p + 3*p).\nAnswer: 88*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxc when four letters picked without replacement from xxxcxxxc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.5 - 8. Let m = 11 + -8. Let y = 6 + -6.4. Put s, m, y in increasing order.\nAnswer: y, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(11646\/28*266\/(-228)). Is l at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -945*a*h**2*u + a*h + 18*a*u - 97385*a - 12*h**2*u - 2*h**2 + 2*h wrt u?\nAnswer: -945*a*h**2 + 18*a - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 4*b - 29. Calculate r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -22201?\nAnswer: 22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzhzzzzzzzzzzzz.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p**3 + 307 - 302 - 3*p**2. Let f be x(-3). Suppose -692 = -18*g + f*g. What are the prime factors of g?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -819.94 + 820. Let v = -734.528 - -734.4679977. Let r = v + x. Round r to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33975 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4\/65, 1, 0.41984, 2\/3 in descending order.\nAnswer: 1, 2\/3, 0.41984, 4\/65, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.036 - -6\nAnswer: 5.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76.6 + 76. Let o = -72 + 934\/13. Sort t, o, -0.3 in descending order.\nAnswer: o, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189369 times 5?\nAnswer: 946845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 11*a + 5. Let z be l(-7). What is the highest common factor of z and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.560004t?\nAnswer: 1560004000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8)\/(-6))\/(72*(135\/12)\/5) and -13\/27?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*o - 443*o = 493*o - 1472*o + 6293 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*n. Let b(c) = -c + 2. Let x(a) = 4*a - 7. Let f(h) = -7*b(h) - 2*x(h). Let t(u) = 12*u. Calculate n*t(i) + 22*f(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4610493 - 523002.5.\nAnswer: -5133495.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -87195 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(176)*2 - (-1 + sqrt(176) + sqrt(176) + 5 + sqrt(176) - sqrt(176))) + 6*(sqrt(176) - (0 + sqrt(176)))*-6)*5)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4771140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -471962 (base 10) to base 2.\nAnswer: -1110011001110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 11*w + 9. Let s be k(11). Let o = s - 5. What is the second derivative of -4*v**4 - 5*v + 2*v**4 + 0*v + 7*v**o wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaeeseeseesae. What is prob of sequence ssa?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 22*v**2 + 211*v - 92. List the prime factors of d(28).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, f: 2, x: 3, e: 1}. Give prob of sequence bef.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*o**3 - 102*g*o**2*w**2 + 34*g*o**2 + g*o*w + 7868*o**3*w**2 + 20*o**3*w + 3*w + 3 wrt w?\nAnswer: -204*g*o**2 + 15736*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1) - (-4)\/22. What is the third biggest value in 6, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 3*x = -48915, -2*x = 28*k - 27*k - 6980. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*t = -0*t - 356, -4*t = 5*c - 368. What is the highest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 12:08 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 4*a + 0*a)*(24 - 1 + 0)*(-3*a - a + 2*a).\nAnswer: -46*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5*sqrt(2736) - sqrt(19)) + (sqrt(19) + sqrt(114)\/sqrt(6) - sqrt(19))*-6) + -1.\nAnswer: -1 + 268*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/6 - (-3)\/6. Let j = 5 + u. Is -2 + (j + 127)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 less than -24.8?\nAnswer: -24.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10 + 1869 + (-2 - -16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x**2 + 0*x**2 + 4*x**2)*(-6 + 2*x + 6) + 2*x**3 - x**3 - 4*x**3 + (1 - 1 + x)*(x**2 - 6*x**2 + 3*x**2).\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 42079.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**4\/2 - 8*d**3 - 23*d**2\/2 + 2*d - 1. Let v(x) be the first derivative of m(x). Find the first derivative of v(k) wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z**2 + 4*z. Let i(m) = -32*m**2 + 11*m. Let r(b) = 11*c(b) - 4*i(b). Let s(p) be the first derivative of 27*p**2\/2 + 3562. What is s(r(a))?\nAnswer: 189*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d - 3. Let q be -2*((-1)\/(-2))\/(2\/8). Let k(t) = t**2 + 4*t + 4. Calculate q*j(y) - 3*k(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2730.3 + 2730.5. Which is greater: 1246 or n?\nAnswer: 1246","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244a859 (base 12) in base 16?\nAnswer: -6bdc45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 1 - 2 + 2 - q. Let c(h) = 2*h**4 + 2*h**3 - 2*h**2 - 2*h - 2. Let t(l) = 2*a(l) - c(l). Factor t(b).\nAnswer: -2*b**2*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02013351 rounded to five decimal places?\nAnswer: -0.02013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 6*g - 3 - 37 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -556ce (base 15) to base 6\nAnswer: -5453052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2448978, 4897957, 7346936, 9795915, 12244894, 14693873?\nAnswer: 17142852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 40*p + 36.\nAnswer: 4*(p + 1)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 6.37.\nAnswer: 3.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-23 - -2) - (-4 - (-5 - -99)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v - 10. Let j(b) = -5231*b**2 - 10*b - 4. What is p(j(d))?\nAnswer: -15693*d**2 - 30*d - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*u + 38, 4*x = -3*u - 0*x - 14. Let y(v) = 283*v**2 - 4*v + 9. Is y(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c = -19*c - 2334. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 - 159 = -15*v. Suppose -v = 5*q + 3*u - 8*u, 2*q - u = -10. Sort q, 1, 8 in descending order.\nAnswer: 8, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 98, 113, 128, 143, 158?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -11. Let y = -10 + 7. Which is the closest to x? (a) y (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 793, 2352, 4881, 8380, 12849, 18288?\n\"Answer: 485*j**2 + 104*j + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24022051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g - 3. Let w be v(3). Let q be (4\/(-5))\/(w\/(-30)). Suppose 16 = f + 2*b, 5*f - 2*f - 3*b = 48. What is the highest common divisor of q and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404579.\nAnswer: 7, 29, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 3, q: 4, t: 7, k: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (179*i - 3 + 184*i - 354*i)*(-4*i**4 + 0*i**4 + 3*i**4).\nAnswer: -9*i**5 + 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.056 - 0.244. Let u = o + 122.3. Let d = u + -107.65. What is d rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -42.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 669.0959 microseconds in milliseconds?\nAnswer: 0.6690959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35799089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cncc. What is prob of sequence cnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52064, 52659, 53662, 55079, 56916, 59179?\nAnswer: 61874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b + 86*b + 90 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 6340439 = 72*y + 54*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-4))\/((-8)\/208). Let x = -62 - g. Calculate the greatest common divisor of x and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*y**3 - 2 + 2 - 7*y + 521*y**3 + 0.\nAnswer: 6*y**3 - 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 303.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*22474\/51. Suppose -3*g = 2*x - u, g - 2*x + 223 = 2*g. What are the prime factors of g?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30238611647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + (-10 + 11 + 43 - 22).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8957 - 5796*m + 4471 + 4486 - 5636*m**2 wrt m?\nAnswer: -11272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5) + -1)*2\/(-4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1\/((-8)\/(-2820))*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2733244?\nAnswer: 2, 113, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 5*t + 15. Let p be -1*(20 + 0 + 3). Let k = p - t. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 6 - 18. Suppose 0*d + 1015 = 5*d + 3*r, -g*d + 609 = -4*r. What is the remainder when d is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 18*u - 21*u - 5*h, -18*h = -15*h + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4650 divided by 930.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.2207. What is a rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*h - 125*h + 56*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -306*x + 306. Let s(l) = -l**2 + l - 1. What is -h(q) - 306*s(q)?\nAnswer: 306*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1575\/36)\/25*(-6)\/(-28)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 2534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6056.856 litres to millilitres.\nAnswer: 6056856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 67 (b) 16118 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52b (base 13) in base 8?\nAnswer: -1562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 7. Let l be c(-7). Let z = 22 - 18. Suppose 3*a - 9 = -3*j, 0 = -a + z*j - 2*j. Solve l*k = -a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.5122 to 1 decimal place.\nAnswer: 50.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132 + 137. What is the second derivative of 32*t**4 + 9 - 18 + 5*t**3 + 12*t - 13*t - y*t**3 wrt t?\nAnswer: 384*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a**2 + 2*a. Let s be h(-2). Suppose s = 4*c - 1 - 7. Find the third derivative of -2*f**6 + c*f**2 + 3*f**6 - 2*f**6 wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -2\/3, 0.066, -0.3, -1\/7 in decreasing order.\nAnswer: 0.066, -1\/7, -0.3, -3\/8, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20788080.\nAnswer: 2, 3, 5, 37, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7875*w - 599. What is f(0)?\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {h: 1, s: 2, e: 2, c: 3, l: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*w - 121 + 17, 0 = -h + w + 98. Suppose 38*k - h = 34*k. Let j(c) = c**3 - 23*c**2 - 14*c + 13. Is j(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -270, -1086, -2446, -4350, -6798, -9790?\n\"Answer: -272*z**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-1))\/(-3)*-4*(-15)\/(-20)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d. Let p(s) = s**2 - 5*s + 1. Let x be p(5). Suppose -2*v + 1 = -x. Let u(q) = q + 1 - v. What is u(w(a))?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2\/8 + (-618)\/(-24)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307 * 4\nAnswer: -1228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 - 3*d**4 + 2*d**4 + (-4*d - 2 + 2)*(-d**3 - d**3 + 5*d**3).\nAnswer: -13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1690999 and 286610.\nAnswer: 16909990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**6\/12 + p**5 + 101*p**4\/8 + 143*p**3\/3 + 83*p**2 + 68*p - 2397. Factor w(o).\nAnswer: -(o - 17)*(o + 1)*(o + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 3. Let k(v) = 3*v**2 + 9 - 2*v**2 + v**2 + 19*v. Let t(h) = 3*h**2 + 29*h + 13. Let m(y) = -8*k(y) + 5*t(y). Calculate m(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/24)\/((-12)\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183297450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 294 (b) 3117 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t = -2204 + 1898 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 1 + 0*u**2 + 0 + 0. Let q(v) be the second derivative of 9\/2*v**2 - 3\/4*v**4 + 0 + 0*v**3 - 1\/20*v**5 + 2*v. What is -2*q(f) + 18*w(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -19 + 13. Suppose -2*m + 3*m - 15 = 5*n, -4*n = -r*m + 1. Does 7 divide 1 + n + 34 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from {c: 3, l: 1, w: 2, y: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1 + 12\/16). Calculate the greatest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 5*a - 8 - 102*a + 14.\nAnswer: -97*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -4 (c) 522.83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - v**2 + 10*v - 11*v + 1 - v**3. Let h(i) = 2*i**3 - 4*i**2 + 2*i - 11. Let k(l) = 3*d(l) + h(l). Determine k(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pccpcc. Give prob of picking 2 c and 1 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z + 58224 = 4*y, 2*z - y = 23287. Let q = z - -4039. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Suppose h*o - 238 = -l, 4*l + o = -140 + 1147. Calculate the remainder when 33 is divided by (-2)\/3 - l\/(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295975548 divided by 82284?\nAnswer: 3597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*m - 136, -2*z - m = -85 + 9. Let w be 2*(0 - -2)*4. Calculate the highest common factor of z and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 2*o**2 - o + 5. Let l be k(0). Suppose -7*c = -l*c - 12. Calculate the least common multiple of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5 + 27*m**4 + 93*m**3 + 112*m**2 + 36*m = 0?\nAnswer: -9, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0 = -36. Let g be 319\/66 + (-15)\/i. Solve 9 + 11 = -5*k - 5*x, 5*k = g*x - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9365*y - 6192*y - 6886*y - 13765*y.\nAnswer: -36208*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 10:47 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 4 + 24\/(-21))*-1. Which is the closest to -2\/7? (a) 0.5 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 949 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/10)*(l\/(l**10\/l*l))\/l)**(-30)\/((l\/l**0)**(-24))**5 assuming l is positive.\nAnswer: l**417","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17087073 times 0.5\nAnswer: -8543536.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1698171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41955 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 54, 49, 28, -15?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87.2920694 - -0.1.\nAnswer: -87.1920694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*l - 13 = 0, -7*l + 2*l - 15 = 0. Let m be 3 + q - 5\/(-5). Which is the closest to -0.1? (a) 1\/6 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 - 2*h**3)*(-10*h**2 - 13*h + 12*h - 75 + 86 + (0 + 0 - h)*(0*h - 3*h + 4*h) + 0*h**2 + 0*h**2 + 3*h**2).\nAnswer: 16*h**5 + 2*h**4 - 22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -21*u - 693 + 630 + 10*u. Give y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -70. Suppose 0 = 14*y - 123 + v. Let f(a) = 4*a + 37. What are the prime factors of f(y)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 331468146 + -2?\nAnswer: 331468144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193406267985005\/21672 + -8924246402. Let o = 1\/2408 + w. Calculate the common denominator of o and 31\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*x - 264 = -102 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1118 divided by -40?\nAnswer: 559\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -44*j**2 - 67. Let m(u) = -15*u**2 - 22. Let v(c) = -7*m(c) + 2*n(c). Find the first derivative of v(z) wrt z.\nAnswer: 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8736468 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)\/(sqrt(12)\/sqrt(3)) + 2 + sqrt(800) - (5*(sqrt(1152) - (sqrt(1152)*-2 - sqrt(1152))))**2*5.\nAnswer: -2303998 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 5145?\nAnswer: -5151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -41, 0.5, 10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 20\/3, -2\/71, 89, -0.061?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 2\/9, -125, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/5))**(-2\/39))**(-37)\/((n*n**(2\/9))**(1\/3))**(-3\/5) assuming n is positive.\nAnswer: n**(-79\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 548046 - 7a?\nAnswer: 547b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*h = -53*h + 940 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -424065818 + 424065213.394539. Let t = y + 604.6. What is t rounded to four dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*s**3 + 78*s**3 + 30*s**3.\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -157*m + 7. Determine l(1).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 507312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593214 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27522841, -27522840, -27522839, -27522838?\nAnswer: -27522837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231120010 (base 5) in base 11?\nAnswer: 6480a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -0.1 (c) -3\/10 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1760, -1748, -1736, -1724, -1712?\n\"Answer: 12*d - 1772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 732441252 to the power of 1\/3, to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + 5*w**3 - 4*w**3)*(-4 + 2 + 7) - 2*w**3 - 2*w**3 + 3*w**3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.063 - 1.363. Let l = 34.32 - 34.12. What is the third smallest value in l, -0.5, 5\/4, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 147514?\nAnswer: 147520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/73, -0.16, 32, 2\/7 in decreasing order.\nAnswer: 32, 2\/7, 2\/73, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 8 = 12*z - 2*j, 0 = -3*z + 5*j - 20. Suppose 0 = -10*p - z*p + 3*p. What are the prime factors of 31 - (-4 - (-5 + p))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 28*u**2 + 168*u - 9. Calculate q(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = b + 3*q, 2*q + 18 = 2*b + 6. Calculate the greatest common factor of b and 75.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 14*t**2 - 13*t - 28. What is f(9)?\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 4 + 2 - 2 + 1 + (1 - 5 + 5)*(-13 + 50 - 11))*(0*n**3 - 16*n**3 - 7*n**3) as g*n**2 + p*n + j*n**3 + k and give j.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w + 5*w - 7*w**2 + 2*w**2 + 7 - w**3. Is b(-6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, i: 4, u: 6, h: 3, g: 2}. Give prob of sequence guuh.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 451 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 816 + 592. Let d = 36553\/26 - o. Find the common denominator of d and -19\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (226*v - 226*v + 9*v**3)*(2*v + 16*v + 2*v)*(-2*v - v + 2*v).\nAnswer: -180*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2255265 and -92\/45.\nAnswer: 2255265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -10 (c) 24 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2034.36 nanometers to centimeters.\nAnswer: 0.000203436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19625797.\nAnswer: 19625797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 454 = -9*y + 190 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 176.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one quarters of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51470*c + 102949*c - 51477*c - 3629)*(3*c + 0*c - 2*c).\nAnswer: 2*c**2 - 3629*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, e: 1, k: 2, p: 1, a: 2}. Give prob of picking 1 p and 2 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 7:07 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-2\/9)\/d))\/d)\/d)**37\/((d\/d**(-3))\/d**(-9))*(d\/d**6*d)\/(d\/(d*d\/d**(6\/11)*d))*d\/(d*d**(-2))*d**2*d assuming d is positive.\nAnswer: d**(-230\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 13. Let k be x(14). Let d = k - -1. Solve -d*g = t - 1, -13 = 4*g + 3*t + 2*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1254 is divided by 51?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 658193 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 12*h - 19. What is l(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9560\/(-6))\/4 - 32\/48. Let i = -263 - z. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 10*v**3 - 15*v**2 + 20*v + 20.\nAnswer: 5*(v - 2)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**2 + 66*y - 138*y + 26*y + 21*y + 25*y.\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 90, 162, 252, 360?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 + v**2 - v - 1. Let z be c(-1). Suppose 0 = 5*q + 20, 5*h - z*q + 4*q = 84. Solve n - 5*n - h = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4315886*d**2 + 15*d - 37703?\nAnswer: -8631772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 955 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/1400 and ((-13502)\/103620)\/((-14)\/(-18))*(-1)\/6.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17153183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 358*b**3*u**2 - 5*b**3 - b**2 + 6*u wrt u.\nAnswer: 716*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-10) - 22\/110. Let b(o) be the first derivative of -6 + 0*o**m + 0*o - 5\/2*o**2 - 2*o**4. What is the second derivative of b(v) wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1735 + -134. List the prime factors of h.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 30*s - 50*s. Let y be (-12)\/s*(-4)\/207. Suppose 4*x + o = -0 + 2, -3*o = -6. Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**3 - 277*x**2 - 132*x - 2137. Give f(56).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**3\/3 - 7*c. Let n(v) = 2*v**2 - 4. Let b(a) = a**2 - 1. Let i(z) = 4*b(z) - n(z). Determine i(s(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.815161 nanograms in tonnes?\nAnswer: 0.000000000000005815161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000413179091 to 7 decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 32*u - 1265. Let o be a(-55). Let p(q) = 15*q**2. Let t be p(-1). Suppose o = 2*n - 3*c + 6*c - t, 0 = 3*c + 15. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a2 (base 12) to base 16\nAnswer: -58a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -16*t**2 + 10*t + 10. Let o be ((-21)\/(-56))\/(-1) - 265\/40. Let b(m) = 5*m**2 - 3*m - 3. Determine o*b(l) - 2*h(l).\nAnswer: -3*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 53 + 15. Suppose 2*o + v = 6*o. Suppose o = -5*z - 8. Let l(b) = b**2 + 4*b - 5. Calculate l(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -0.04, -1\/4, -231.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 121*v + 12*v**3 - 23 + 24 + 60*v - 2*v**2 + 59*v - 9*v**4 in the form j*v**4 + o*v**2 + m*v**3 + t + f*v and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5 = 7*r, -2*g + r = 37. Suppose -4*j = 16, 4*j - 8 + 44 = -5*l. List the prime factors of -3 + 0 - (g - l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14598953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42\/(-1400)*-10*92970?\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13\/2 (b) 5 (c) 4 (d) 0.3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**5 + q**3. Let b(p) = 91*p**5 - 5*p**3 - 2*p**2 - 70. Let w(x) = -b(x) - 5*r(x). Find the third derivative of w(g) wrt g.\nAnswer: -5760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2401070*w**2 - 4*w - 7802855 wrt w.\nAnswer: -4802140*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 50\/9 (b) 5\/2143 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 79, 125, 171?\n\"Answer: 46*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42123 - -3?\nAnswer: -42120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9)*a)**(6\/23))**(-12\/7)*(a**0)**7\/(a**(-2\/5))**(-2\/99) assuming a is positive.\nAnswer: a**(-4052\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 33. Suppose 3*h + k = 9*h. Find the second derivative of z**h - 8*z + 4*z - 12*z - 4*z wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1148 - 807. List the prime factors of k.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 462\/7 + (-1 + 1 - -1). Suppose -14 = -3*k + y. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 79 + 2*m - 79. Suppose 0 = -t + 2*k + 9, -3*k + 8 = 4*t - 28. Let b(l) = 8 + t*l - 2 - 6. Determine b(o(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 966 = -2*j + 8*j. Is j a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5 + 858*w**4 + 5070*w**3 - 2570*w**2 - 13512*w + 10152 = 0.\nAnswer: -423, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(120\/(-16))\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14345 + 116016?\nAnswer: 133364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*w - 56 = -364*w + b, -2*b = 17 + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49036031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -618 - 642*j**2 + 206 - 399 + 110 + 52*j**2 wrt j?\nAnswer: -1180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(2\/5)*j**(-1\/4)*(j**(1\/3))**(-1\/5) assuming j is positive.\nAnswer: j**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8703*w + 8757*w = -1188 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(39)*-1 + sqrt(975) + sqrt(975) + -1*sqrt(975) + sqrt(975)))\/(-5*5*(-2*sqrt(18))\/sqrt(6)))**2.\nAnswer: 208\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18898964 + -5?\nAnswer: 1889895d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 144600 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 7. Let p(f) = 3*f + 4. Let x be p(j). Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 379 + 4*y - 85*y**2 - 127 - 130.\nAnswer: -85*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 329 * -11.7.\nAnswer: -3849.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.71 + -0.31. What is v rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/20 - (-62)\/10. Suppose 2*k = -i + c + 4, 0 = -3*i - 2*k + 14. Solve -5*b - w - 11 = 0, i*w + 1 = -3*b - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4609 - 0.5391. Which is the third smallest value? (a) 0.1 (b) q (c) 1 (d) -2\/11 (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/5 (b) 45 (c) 21\/10 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9133, 18828, 29103, 39958?\n\"Answer: 290*u**2 + 8825*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q**3 - 22*q**2 + 22*q**2.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 c, and 1 p when three letters picked without replacement from {c: 2, f: 1, y: 1, x: 1, l: 1, p: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 215186\/8 + 29\/(-116) + 5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a + 8*a - 13*a. Let t(b) = -b. Give z(t(g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)\/y**6)\/(y**(1\/5)\/y**(5\/3)))\/((y*y*y*y**(-1\/2))**(-24)\/(((y**(-7)\/y)\/y)\/y**7)) assuming y is positive.\nAnswer: y**(502\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 102, 168, 130, -12?\n\"Answer: -52*u**2 + 222*u - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 26 = 18*p. Let h = 2 + p. Suppose -h*d + 22*d = 28. Solve -o + 2 = d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 188951705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1442091756?\nAnswer: 2, 3, 7, 2452537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 987 + -986.9. Which is the second biggest value? (a) j (b) -1 (c) -0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (297\/66)\/(18\/(-92))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -8 + 7*5\/35.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.2929 litres to millilitres.\nAnswer: 53292.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 0.1 (c) -9\/838 (d) 0 (e) -8.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71542760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-52)\/(-72))\/((-220)\/39165). Let v = p + 1379\/11. Find the common denominator of v and 121\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 50, 3\/7, -0.08?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2 + (-4)\/3). Let c = 1 + z. Sort -3, c, 2 in descending order.\nAnswer: 2, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1312*p**3*v**3 - 49*p**2*v**2 - 24*v**3 wrt p.\nAnswer: 7872*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c. Let f be (56\/12)\/(4\/6). Let q = f - 22. Let x = -10 - q. Let i(j) = 2*j. Determine x*i(y) + 2*w(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4680437 - q**3 + 4680437.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 15. Let t be d(6). Which is the closest to 0? (a) 0 (b) -0.6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*h - 26*h + 141 + 30*h**4 - 28*h**4 as m*h**2 + i*h**3 + j + x*h + r*h**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/30*4)\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 573965100 = -10*t. Suppose -5*a = -138686950 + t. Round a to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1242*l**4 + 1212*l**4 + 11 + 13 wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1282, -2563, -3844, -5125?\nAnswer: -6406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-24)\/88 + 39800\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -10*b + 15*b. Find the second derivative of 2*m - b*m**4 + 0*m**4 - 12*m + 0*m wrt m.\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 646*p**4 - 437*p**4 - 376*p + 1157*p**4 + p**2 wrt p?\nAnswer: 32784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + x + 7*x + 0*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + 1*sqrt(891)*-6*-5).\nAnswer: -1350*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o - 154. Calculate v(13).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u. Let m(z) be the third derivative of -1\/15*z**5 + 2*z**2 + 0*z**4 + 0 + 0*z + 0*z**3. What is d(m(f))?\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 8:33 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j*(j*j*j\/(j**(3\/13)\/j))\/j*(j\/j**(-9))\/(j*j*(j*(j\/(j*j\/((j*j**(3\/22)*j*j)\/j)))\/j*j*j*j)\/j*j*j))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -398 + 1243\/3. Find the common denominator of r and 0 + 0 - 480\/(-640)*(-48)\/14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 8. Let k be l(0). Let m(c) = -6055*c - 24215. Let q be m(-4). Solve q*g = -13 + k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*i = -19, -4*i + 9 + 5 = -2*t. Let h = -8756 + 8755. What is the closest to t in 0.4, -0.1, h, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -158*p**2 - 31 + 7*p - 172*p**2 + 171 + 329*p**2. Give w(17).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let g be -11 - -2 - 1\/(-1). Let k = g - -10. Let s(h) = -h**k + 2*h - h - h. Calculate s(c(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:04 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.006 - 2.106. Is 2815\/3 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(43 - 19) - -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139668300 divided by -14436?\nAnswer: 9675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-20)*(4 + 48\/(-9)). Let g be (-4)\/7*(-48)\/640*-10. Let x = -0.4 + 0.7. Which is the smallest value? (a) g (b) p (c) x (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 8:38 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 401 and 1137.\nAnswer: 455937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -48568365785322 - 5?\nAnswer: -48568365785327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minus -20776.3?\nAnswer: 20786.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(4 + (-5 + sqrt(1573) + (4*sqrt(1573))**2 - sqrt(1573)) + ((sqrt(1573) + -4*(5 + sqrt(1573)))**2 + sqrt(1573))*2).\nAnswer: 2662*sqrt(13) + 54282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47071, 47084, 47107, 47146, 47207, 47296, 47419?\nAnswer: 47582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let i(x) = 1255*x**2 + 3*x + 18405. Calculate i(a(d)).\nAnswer: 1255*d**2 - 3*d + 18405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1229 - 1148) + (-2 - 80)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 13 = l + 2*s, -2*l + 20 = 2*s. Let n(z) = -z**2 + 8*z - 7. Let u be n(l). Solve -3*q + 0*t - 4*t + 4 = u, -20 = -5*t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -j - 4*j - 119, -245 = 5*p - j. Let k = 48 + p. What is the tens digit of 33 + 3 + -1 + k + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1307730 divided by 5.\nAnswer: -261546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -100 - b?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 6:27 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 799848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -l - l. Suppose 0 = 5*k - l, -604 = 3*x + x - k. Round x to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j, 9*a - 55*j + 56*j = 45 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76578, -153146, -229704, -306246, -382766, -459258, -535716?\n\"Answer: m**3 - m**2 - 76572*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15701992 and 41064?\nAnswer: 2779252584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-12) - (-389)\/(-2). Let o = p + 127. Let d = -38 - o. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141 - -247. Let o = 39 - u. Let i = o + 600. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 6*c = -x - 17, x = -c - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -b - 9. Suppose b = 12*z - 14*z + 154. Let n = 5 + 6. Calculate the highest common divisor of n and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 7.1257.\nAnswer: -11.1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00107 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * 0.2.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -572460?\nAnswer: 1\/190820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*i**3*n**2 + 637*i**3*n + 2719*i**3 + 8*i**2 wrt n.\nAnswer: -54*i**3*n + 637*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 0.1, 130, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 6. Let t be q(-4). Suppose -6*z = -t*z. Factor 2\/7*u**4 + 0 + 0*u + z*u**3 - 2\/7*u**2.\nAnswer: 2*u**2*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 443?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370 by 25492.\nAnswer: 185\/12746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 9. Let o(v) = 6*v**3 - 41*v**2 + 56*v - 25. Let d(x) = -x**3 + 8*x**2 - 11*x + 5. Let m(s) = 11*d(s) + 2*o(s). What is the tens digit of m(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**5\/20 + i**4\/12 + i**3\/6 + i**2\/2 + 32*i. Let w(v) = -3*v**3 + 5*v**2 + 5*v + 5. What is -5*q(s) + w(s)?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m - g - 344 = 0, -5*m - 2*g - 77 = -5*g + 2*g - 31 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 251. Let q = -184.4 - u. What is the second smallest value in -1, q, 2, -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/30)\/(2\/5). Let b = r + 4. Suppose -5*x + 15 = 3*q, -3*x + 1 + b = -5*q. Solve q*n = 3*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/228 - 14\/(-120)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -34 (b) -1 (c) -199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - 46*p**2 - 123*p - 41. Calculate h(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 1446717272?\nAnswer: -1446717271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2148.9367 and 0.5.\nAnswer: 1074.46835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.057\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((s + s - 3*s)*(2 + 6 + 1) - 1 + 1 - 2*s)*(19*s**2 + 58 - 58).\nAnswer: -209*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101340 and 26461.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 15 = -4*w, 5*w - 24 = -4*d + w. What is the closest to 0 in 4, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22617064.\nAnswer: 2, 37, 109, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -4691?\nAnswer: -4693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(-11)\/(11\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.239 from -3.\nAnswer: -3.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighty-seven quarters of a kilometer?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 58. What is the closest to 6 in m, -4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 4*v + 60. What is the highest common factor of v and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-19)\/(950\/(-144920)) - 9\/(-15)?\nAnswer: 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 5, -101, -30, 0 in descending order.\nAnswer: 5, 3, 1, 0, -30, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48665580 and 3900.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 90.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {c: 1, b: 5, f: 2, i: 11, u: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 5*q - 1 + 0 + q**2. Let w be s(5). Let z be (1 + w\/2)*10. Solve -h + 7 = -0*o - z*o, -2*h - 3*o = -1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 6*r - 6 + 0*r - 4*r. Suppose 39*j - 15 = 43*j + o, 5*j = -3*o - 10. Is 15 a factor of s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - -1 - (21 - 20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 at most 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5023156 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrcccroorcccrroro. What is prob of picking 1 o, 2 c, and 1 r?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = 2*t - 10, 4 = -3*t - g. Let z(u) = -6*u - 1. Let d(x) = -x - 1. Let q(o) = -2*d(o) + z(o). Give q(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1516 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/5)\/(k\/(k*k\/(k**(-2\/3)*k)*k))*(k*k**(-2\/17))**(-41) assuming k is positive.\nAnswer: k**(-8647\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1545220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/216 - (-94)\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124631009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**2 - 14*j - 10. Let c(x) = x**2 + 3*x + 2. Let k be (99\/(-4))\/9 - (-2)\/(-8). What is k*s(z) - 14*c(z)?\nAnswer: 4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -53 * -1.14\nAnswer: 60.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 0.01, -0.2516?\nAnswer: -0.2516","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 200 = -3*u - 222, 24*o = -5*u + 264 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(-2*t - 2*t + 3*t + (2 + 2 - 1)*(-5*t - t + 4*t))*(-5 - 1 + 3) to the form h*t + g and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.024006 nanoseconds to hours.\nAnswer: 0.000000000014173335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Let q = u + -2.2. Let y = -4.2 + 4.7. What is the closest to 0 in 0.3, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-8) - (-1)\/4. Suppose -w = -4*u + 20 + 9, 25 = 3*u - 4*w. Let v(g) = -12*g + u*g + l*g. Let k(i) = 3*i**2. Give k(v(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 5*d + 0*d)*(-d**3 + d**2 - d**2) - 5*d**4 + 5*d**4 + 6*d**4.\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/44, 2, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 3*n**4\/4 + 13*n**3\/3 - 32. What is the third derivative of y(q) wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 7:14 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1425674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2527 * -120.56.\nAnswer: -304655.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6258 + -3197. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2097)\/213*9\/2. Let v = 14\/71 - b. Find the common denominator of -49\/5 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 189 or -96?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3953761 + -2?\nAnswer: -3953763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30005 divided by 3.\nAnswer: -30005\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3039*s**3 + 12*s - 2141. Let o(b) = -4*b**3 - 2*b + 1. Let i(t) = -6*o(t) - v(t). Find the first derivative of i(a) wrt a.\nAnswer: 9189*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 10*h + 168. Let y be u(17). Is -273 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-480)\/(-45) + (-16)\/(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16768 - 83674\nAnswer: -100442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*l - 3*u, 0*u + 10 = 2*l + u. Let z(h) = h**2 - 5*h + 2. Let b be z(l). Solve -7*v = -b*v - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1232.35 and -0.1.\nAnswer: 123.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8002 = -325*p + 852 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*v**3 + 268*v wrt v.\nAnswer: 912*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1178 - 52 + 647 - 109 - 220)*(-5*f - 2*f + 10 + 6*f).\nAnswer: -1444*f + 14440","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 8. Let t be c(8). Let z = -9\/14 - -73\/70. Factor 2\/5*s**5 + 0*s**2 + t*s + 0 + 4\/5*s**4 + z*s**3.\nAnswer: 2*s**3*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**19\/r*r**(-4)*((r\/(r**(-1\/2)*r))\/r)\/r**(-4\/3))**(1\/21) assuming r is positive.\nAnswer: r**(89\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/10)\/(2\/1704). Calculate the common denominator of 17\/12 and ((-3)\/(-18))\/(8\/d).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5142 divided by 1714?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((2 - 12)\/2)\/(-3 + 182974\/60995).\nAnswer: 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 807284 divided by -201821\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + ((-2 + 0)*1 - -6). Let b = 5 + -2. Let u = 0 + 1. Solve -3*z + u = -t, y*z + 3 = -b*t + 7*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1370*p**2 + 0*p + 1341*p**2 + 2*p as r*p + c + i*p**2 and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5843, -44474, -149369, -353660, -690479?\n\"Answer: -5522*r**3 + 23*r - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*n - 161 + 161)*(-1 + 1 - 4) in the form f*n + s and give f.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -16. Suppose 5*w = q*w - 20. Solve 4*s + 24 = 4*v, -3*v + s + w = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 1 + 22 + m**2 - 11.\nAnswer: m**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 163621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -18215.\nAnswer: -145720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 5*l + 7. Let k(c) be the second derivative of c**3\/3 + 15*c**2\/2 + 9*c. Let q be k(-10). Calculate r(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102*(((-475)\/50)\/19)\/1.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*o**6 + 3638*o**5 - 623207*o**2.\nAnswer: -2760*o**3 + 218280*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 + -183. Suppose -5*b = 6*b - z*b. Let y(i) = 5*i**2 + 7*i - 4. Let g(h) = -11*h**2 - 15*h + 8. Let l(t) = 6*g(t) + 13*y(t). Determine l(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 0.2 (c) 0.12 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**4\/6 + 13*k**3\/6 + 15*k**2\/2 - k - 260. Calculate u(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21888 by 304.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 0*z**3 - 6*z**3)*(11 - 22 - 2*z + 12).\nAnswer: 14*z**4 - 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51628496358 plus -96?\nAnswer: 51628496262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40066141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*f - 423 = -73. Sort -27, -2, 6, f in increasing order.\nAnswer: -27, f, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11161399 by 60.\nAnswer: -11161399\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 3. Let p be s(1). What is the smallest common multiple of 10\/7*(-14)\/p and (7\/(-4))\/(2\/(-8))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 - 0.9. Let y = -11.4 - -13.4. What is the second smallest value in y, -19, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 42*d - 174. Let c be u(6). Calculate the greatest common divisor of c and 2886.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*u**5 + 1519657*u**4 + 2*u**3 + 1603494*u**2 + 8.\nAnswer: -360*u**2 + 36471768*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 2)*(-909*b**4 + 615*b**4 - 3327*b**4) to j*b**4 + w*b**3 + c + x*b**2 + n*b and give j.\nAnswer: 14484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**16*b)**38\/((b*b\/b**2)\/(b\/(b*b**34))))**(-27) assuming b is positive.\nAnswer: b**(-16524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 2619.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/21)*u**(4\/7)*u**(-1)\/(u**(2\/7)\/u))**(-3\/4))**23 assuming u is positive.\nAnswer: u**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 6. Suppose -3*n + b = -24, 0*b = b + 3. Let w be v(n). Let a = 16 - w. Solve -y = 3*d - a, -d - 3*y + 19 = -0*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 643559488?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.95 - 2. Let i = o + -0.05. Which is the nearest to -1? (a) 1\/3 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1516616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9064957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {e: 3, h: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -740*k**6 - 476*k**2 + 893*k**5 - 895*k**5 + 0*k - 2*k wrt k.\nAnswer: -88800*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t - 45 = -91. Suppose g + 5*k - 15 = -2*g, 0 = -t*g + 5*k - 15. Solve -4*j - 4*d + 20 = g, 4 = 2*j - 4*d + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 1. Let a(c) = -151*c + 1. Let s(p) = -a(p) + 2*m(p). Let k be s(3). Let t = k + -259. Calculate the greatest common divisor of t and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3129, 6247, 9365, 12483, 15601?\n\"Answer: 3118*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 6:10 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v. Suppose -x + 5 - 2 = v. What is the least common multiple of 8 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1375*w + 105989. Calculate l(77).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 94. What is the third biggest value in 1\/4, 2, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2936 is divided by 94.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884713957?\nAnswer: 7, 71, 53411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47686318 is divided by 594?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**4 + 82*x**3 - 13*x**2 - x?\nAnswer: -72*x + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*d**3 + 14 - 1505*d + 1505*d wrt d?\nAnswer: -69*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(8) + (sqrt(64) + 1*sqrt(64))\/sqrt(8) + sqrt(8) + sqrt(8)))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -9. Let c(y) = y**3 - 9*y**2 - 9*y - 14. Let j be c(10). What is the remainder when g is divided by (44\/10)\/(j\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -82*f - 1148. Give z(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 252 + -761\/3. What is the second smallest value in 0.1, t, -1.5, -1\/2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 632952336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 3*h**2 + 23*h - 5. Suppose -2*z + 100 = 23*z. What is the remainder when c(-7) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7798\/(-6))\/((-4)\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 162 - 1544*r**2 - 119*r**3 + 2*r.\nAnswer: -119*r**3 - 1544*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((650\/1380)\/13)\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 21*p**2 - p + 1. Suppose 0 = 3*m - 3. Let i be x(m). What is the second derivative of 3 + 17*f**3 - i*f**3 - 3 - 3*f wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*d**2 + 23*d**2 - 24*d**2)*(2*d - 2*d - d) - 48*d + 119*d**3 + 48*d.\nAnswer: 90*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/120? (a) 34\/5 (b) -3\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5757\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-308)\/40) + (1284\/(-120) - -11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1746*y = -4*w + 1750*y + 64, 0 = 221*y + 1105 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 1470 + 2058. Is 42 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14868 is divided by 151?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -102. Let i(d) be the second derivative of d + 0*d**5 + 0*d**3 + n - 3*d**2 + 1\/10*d**6 + 0*d**4. Differentiate i(k) wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2181 divided by 7\nAnswer: -2181\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*g**3 - 110*g**2\/3 + 1025*g\/3 + 250\/3.\nAnswer: -(g - 5)*(g + 10)*(21*g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.099, -4\/5, 2\/11, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*w - 441 = 2*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*x - 198 = 0, -x + 361 = 5*j + x. Suppose 0 = -3*g, -4*r - 5*g + j = 3. Solve 5*n + r = -8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - 5*i)*(3*i - i + 2*i) + (-2*i + 0*i - 12*i)*(-1 - 2*i + 1) + (-6*i**2 - 2 + 2)*(-1 + 2 - 2).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d18 (base 15) to base 8.\nAnswer: -63715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 909, 907, 905, 903?\n\"Answer: -2*q + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -a - 4*d, 0 = -5387*a + 5382*a - 3*d - 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 33. Let g = 20 - q. Let z = 16.000038 + g. What is z rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 5) to base 8.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.00099 + 0.02099. What is the third smallest value in 0.3, -1\/8, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.6681 rounded to 1 decimal place?\nAnswer: 270.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + l = 3*z - 25, -3*z + 5 = -l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 2. Let k(n) = -2 - n**o - 4*n**2 - 2*n**3 + 2*n**3 + 5*n + n**3. Let l be k(4). Solve -b + l = -0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2192544 and 109664?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 times 575423?\nAnswer: 169749785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25016095 and 4420.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/(-7)*(5\/3 + -1). Let s be b\/14 + 2\/(-42). What is the smallest value in 7\/2, -2\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 891, 3118, 7463, 14634?\nAnswer: 25339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2412 and 6?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1*-1 + 0)*(-3 + -119).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 68*h = 88140. List the prime factors of h.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (3 - -2)) + 5 - 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*d - 0*d + 8, 5*d = -2*a + 10. Find the second derivative of -251*r - 219*r + 433*r + 50*r**d wrt r.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l = 65 - 97 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-889)\/127*2\/(-4)*(60\/63)\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 35*b + 15. Let z(n) = n + 2. Let p(k) = k + 10. Let y(q) = p(q) - 6*z(q). Calculate 2*r(o) + 15*y(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/3*(-3)\/(-1). Let o = -152 + 49. Let w = -104 - o. Which is the nearest to w? (a) -1 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q - 11. Let g(w) = 3*w + 6. Let l(z) = -7*g(z) - 4*u(z). What is l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -665*n*v**3 + 12*n*v**2 - n + 8*v**3 + 166*v + 683 wrt v.\nAnswer: -3990*n*v + 24*n + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -26*z - 174. What is the remainder when 233 is divided by v(-9)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 10*o - 5*o + 5*f - 16, -o + 12*f - 37 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18236.\nAnswer: 2, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 40585000 to the nearest one hundred thousand.\nAnswer: 40600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34.982 and 0.5?\nAnswer: 17.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 - k**3)*(-4 + 2 + 1)*(-4 + 7*k + 4 + (k - 4*k + k)*(-1 - 4 + 3)).\nAnswer: 11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1576 - 0.0576. Which is the smallest value? (a) w (b) -2\/229 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, n: 4, r: 1}. What is prob of sequence nrn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6300)\/(-203175)*(-7)\/((-28)\/6)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*-0.0204.\nAnswer: -0.002448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/3006 and 57\/1336.\nAnswer: 12024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 2350*z**2 - 9381*z + 8. What is h(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 1 - 19*j**2 - 4391*j - 1 + 4399*j to v + o*j + f*j**2 + x*j**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + -2. Let h = 38 + x. Suppose k + 3*v = -11, 4*k = 2*v - 5*v - h. Put 4, k, 2 in ascending order.\nAnswer: k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 326, 736, 1312, 2054, 2962, 4036?\nAnswer: 5276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a + -578?\nAnswer: -51c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 229 + (18\/3 - 14)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 294 + -82. Suppose 4*d - 5*j - i = -j, 0 = -4*d + 2*j + 212. Let k = 24 + d. What are the prime factors of k?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 538*t + 1631. Determine b(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 14. Suppose -6*c = -2*c - 28. Let q = 12 - c. Solve u + i = -8, q*u + i = -i - v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(896) + sqrt(896) - sqrt(896))\/(sqrt(2) - (sqrt(288)*-2 + sqrt(2))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2641, 10591, 23847, 42409, 66277?\n\"Answer: 2653*l**2 - 9*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 7. Let v be a(9). Suppose -30 = 4*p - l + 24, -43 = 3*p - 2*l. Let y = v - p. Solve -3*c = 2*m - 13, 0*c = 2*m + y*c - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 491 + 91. Let q = -435.5 + h. Let v = q + -146.49263. Round v to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**7\/105 - 7*c**6\/60 - 13*c**5\/30 + c**4\/4 + 6*c**3 + 4*c**2. Factor i(x).\nAnswer: -2*(x - 1)*(x + 2)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 33 = a. What is the units digit of (2 + 17)\/(a\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*n**2 + 30*n**3 + 35*n - 22*n - 5*n**2 + 11*n**5 + 9*n**2 - 15*n wrt n?\nAnswer: 660*n**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 302.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 396606267 to the power of 1\/2, to the nearest integer?\nAnswer: 19915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -592 + 591.717. Let s = -53.8531 - -54.11. Let g = j + s. What is g rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37233 divided by 3.\nAnswer: -12411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 19*k**2 - k + 21. Let v be z(19). Suppose 0 = -3*x + 34*r - 29*r + 298, 5*r + 197 = v*x. Calculate the remainder when x is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1816*z = 8833 + 370711. Let a(i) = 3*i**2 - 6*i - 4. Calculate the remainder when z is divided by a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/12)\/(-5))\/((-6)\/(-54)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 - 603*i**2\/4 - 7722*i - 88935.\nAnswer: 3*(i - 245)*(i + 22)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 6*l**2 + l - 1. Suppose -15*p - 4*v + 12 = -11*p, -5*v = p - 3. Suppose p*h = w + 7, 3*h = 14 - 2. Give n(w).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5 + 5*a**2 + 11*a**2 + 7*a**2 + a - 22*a**2. Let g(s) = -2*s**2 - 3*s - 11. Give -7*d(h) - 3*g(h).\nAnswer: -h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60\/11? (a) -20 (b) -1\/17 (c) 2 (d) -3 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50.05 - -50. Put -1, -1\/7, f in increasing order.\nAnswer: -1, -1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 17*x - 52. What is j(18)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01733649461 rounded to six dps?\nAnswer: 0.017336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11143226*s**2 + 1745256*s wrt s.\nAnswer: -22286452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 - 1012158*z**2 - 46556094*z - 535382914 = 0. Calculate z.\nAnswer: -506033, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 5*o + 120. Let z be ((-20)\/6)\/((-20)\/o). Is (z\/10)\/((-1)\/366) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 a, and 1 q when four letters picked without replacement from {q: 2, z: 4, f: 9, a: 3}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.41 + 4.2. Let g = -16.79 + q. Let l = 16.975 + g. What is l rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5879 + 5879 + 161954*p**2.\nAnswer: 161954*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -167*j**2 - 228*j + 156. Determine a(-2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**5 - 50*t**4 + 70*t**3 + 140*t**2 - 265*t + 110.\nAnswer: -5*(t - 1)**3*(t + 2)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 30?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 y, and 1 x when three letters picked without replacement from {y: 1, z: 3, x: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y - 16 = 0. Let l(h) be the third derivative of h**4\/12 - h**3\/3 - 80*h**2 - 196*h. Determine l(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4 and -3838740.\nAnswer: -9212976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -8 + -10 + 19?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4))\/((-9)\/(-12)). Let d(t) = 5*t - 4*t**2 + 2 - b + 0. Let h(c) = -c**2 + c. Give -2*d(p) + 10*h(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) - (-104)\/6. Suppose y = -2*v + 5*l, -5*v + 2*l + 2 = -2*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0857719905 rounded to four dps?\nAnswer: -0.0858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**4\/6 - 4*c**3\/3 + c**2. What is the units digit of y(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06 or -0.015?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*l - 11*p, l - 4*p = -3*p + 2. Suppose -d = 4*d - 2*t - 14, 5*t = 4*d - 18. Sort -32, d, l in decreasing order.\nAnswer: d, l, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114297?\nAnswer: 3, 31, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z - 1. Let d be c(1). Let k(q) = 3*q - q**2 + 2 + 5*q - 2*q. Let a be k(d). Solve -2*x = x - 2*n + 9, -a*x + 5*n = -5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 63.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2456*a**3 + 758 wrt a.\nAnswer: -7368*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/5 + 4\/(-10). Let b be 2\/(-2)*36\/(5 + -8). Suppose -r*f = 4 - b. Solve -2*w = 5*j + 10, f*j = -3*w - 2 - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -54, -113, -204, -333, -506, -729?\nAnswer: -1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -656?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4 (b) 1\/6 (c) 2.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - d + 0 + 13 + 19.\nAnswer: -d + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-7) - (711\/(-7) - 5). Suppose -b - a = 54. Is 5\/(b\/(-78684)) - 1\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322324 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 4*k - 1. Let o(w) = -w**2 - 3*w + 1. Let v(l) = 3*m(l) + 4*o(l). Calculate v(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {g: 3, r: 17}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 10:56 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from {s: 7, f: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**6\/120 - y**5\/6 + 5*y**4\/12 - 2*y**3\/3 + 2*y**2. Let d be b(9). Calculate the greatest common divisor of 55 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/8 - 489*b\/4 - 5670.\nAnswer: -3*(b + 56)*(b + 270)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 31*w**2 + 6033*w + 1. Let o(k) = -k**2. Determine n(o(b)).\nAnswer: 31*b**4 - 6033*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*a - 17 - 22 - 75*a + 175*a**4 + 39 wrt a?\nAnswer: 2100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34916805*z**3 + 3*z**2 + 18077429?\nAnswer: 104750415*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - 3*s**2 + 7*s**2 + 6*s**2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kso when three letters picked without replacement from kos?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.35 rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31501 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -23) + -10 + (2 - 9) - -21\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28096 from -47.\nAnswer: -28143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 66565.21ml in litres?\nAnswer: 66.56521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7733479*p*u**3 - 334206*u**3 - u wrt p?\nAnswer: -7733479*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*((sqrt(88) - sqrt(88)*2)\/sqrt(4) + -6*-2*sqrt(22))\/(sqrt(6)\/sqrt(3)*2*-1).\nAnswer: -3 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2207\/(-9) + (-7)\/(-378)*12. Let d = -224 - x. Let h(c) = -c**3 + 8*c**2 - 8*c + 6. What is the lowest common multiple of h(6) and d?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 5.4\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.035 - 0.135. Is s less than or equal to -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -4, 34, 3\/8, 76?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 43. Calculate m(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -710 + 667.9. Let n = x + 42. Let p = -0.71 + 0.01. What is the second biggest value in p, 1, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58 - 39) + -27 + (8 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/9, 3, 46 in decreasing order.\nAnswer: 46, 3, 2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m + 2*q, 17 - 4 = m - q. Let f = 10 - 5. Calculate the highest common factor of m and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 219460 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t. Let n(s) = 18*s. Let k = 41 - 47. What is k*n(f) + 52*i(f)?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - t + 4. Suppose -22 = -0*c - 2*c. Let k be (-22)\/33*(c - 2). Let v be r(k). What is the greatest common factor of v and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377150000 rounded to the nearest one million?\nAnswer: 377000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q + 6*q)*(-1 - 1 + 1) - 3*q + 2*q + 3*q + (-5 + 2 + 2)*(-2*q + 0*q + 0*q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-598)\/8 + (-1)\/4. Let b be k\/154 - (-1)\/2. Let l = -72\/385 - b. Does 0 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221*d**4 - 2*d**3*y - 27*d**2*y**2 + 12*d*y**2 + 83*d*y + 2*d + 15*y**2 wrt d.\nAnswer: 2652*d**2 - 12*d*y - 54*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*z + z. Let d be 2\/(-3) + 1500\/z. Let l = d + 74. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240845784?\nAnswer: 2, 3, 10035241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4\/2 + 3089*c**3 + 12361*c**2\/2 - 3089*c - 6180 = 0.\nAnswer: -2, -1, 1, 6180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwuufvfvnuwpffw. Give prob of sequence uufv.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - 3*z)*(4*z**2 - 4*z**2 + 2*z**2) + (0*z + 2*z**2 + 0*z**2 - 2*z)*(-2*z + 0*z + 3*z).\nAnswer: 4*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**5\/180 - u**4\/9 - 8*u**3\/9 + u**2. Factor a(o).\nAnswer: -(o + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8940, -29638, -64130, -112410, -174472, -250310?\nAnswer: -339918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 12) in base 4?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 1)*(-30*y + 6*y - 4*y)*(-39*y - 10*y + 25*y - 25*y) as f + j*y + p*y**2 and give p.\nAnswer: 2744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -729300 divided by -72930?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 242*p + 10407. Let q be r(-43). Let d be 3\/6 + (-25)\/(-2). Solve 3*a - c = q - d, 0 = 2*a - 4*c - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 11:01 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r**2. Let s(w) be the second derivative of w**4\/3 + 3*w. What is s(i(d))?\nAnswer: 196*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (12 - 7)) + -2 - -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/180 - (-3 - (-35)\/25)) + (-100)\/(-6).\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w + 5. Let t be f(-9). Round t to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.571 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 + 10*i**2\/3 + 4*i\/3 - 16\/3.\nAnswer: 2*(i - 1)*(i + 2)*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3 + 5, -3*k - 5*a + 40 = 0. Let p = k - 6. Suppose p*c - 23 + 3 = 0. Solve -c*f = 0, -4*f - 2 - 3 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) + 48\/28. Let z be (-18)\/(-10) + g\/10. Let o be z + 2*(-2 + 5). Calculate the highest common divisor of 16 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = w - 2*d - 6, 4*w + 5*d - 11 = 0. Calculate the smallest common multiple of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 26*c**2 - 27*c**2 + 155 - 155. Let b(p) = 36*p. Calculate f(b(g)).\nAnswer: -1296*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1\/2, 46\/5, -0.3 in ascending order.\nAnswer: -9, -0.3, 1\/2, 46\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50127323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 555*f + 124366 - 124366 + 1641*f to the form j*f + i and give j.\nAnswer: 2196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*h + 55*h = -32. Suppose 193*a - 195*a = -h. Suppose 0 = t - 4, 6*t = -3*x + a*t + 7121. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 22 - -2) + (43 + -32 - 14)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**6)*q*q**9*q*(q*q\/q**(-9\/2))\/((q\/q**4)\/q))**(-25) assuming q is positive.\nAnswer: q**(-1375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-12\/5)*q)*q\/q**(1\/4)*(q**(-2\/7))**37 assuming q is positive.\nAnswer: q**(-1179\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j + 3*j)*(-j**2 + 2*j**2 - 2*j**2) + (3 - 2*j**3 - 3)*(1 + 0 - 3) + (4571*j - 9294*j + 4400*j - 2)*(2*j**2 - 3*j + 3*j).\nAnswer: -644*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 4*m**2 - 3*m. Let n be (54\/15)\/((-7)\/35). Let r be 9\/n + (-9)\/(-2). Determine k(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/11)*u**4 assuming u is positive.\nAnswer: u**(46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 55125*z**3 - 9704100*z**2 + 369620*z - 3520 = 0.\nAnswer: 2\/105, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r - 4 + 4.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-989)\/344 - 3\/(-9)*((-14 - -38) + -9)?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from rrjrvrqcccrer.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -7 + 5 - (0 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 2*c + 5. Let d(g) = -46*g + 109. Calculate the remainder when i(-4) is divided by d(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -293*v**3 - 147*v wrt v.\nAnswer: -1758*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*d - 139, 5*s + d - 364 = -3*d. Let i = s - 23. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -39. Calculate the highest common factor of m and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3 + 21*y - 47*y - 2*y**2 + 29*y. Calculate w(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -7. Let k be (-4)\/(-4) + g\/2. Factor 0*z**4 + z**5 + z**3 + 2*z**4 + k*z**3.\nAnswer: z**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 317*t + 317*t - 43*t**2.\nAnswer: -37*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.099999855 + 0.1. Round p to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 19, 0, -53, -152?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554739673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.345 + 0.645. Which is the nearest to -32? (a) j (b) -5 (c) 1\/8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86.3 + 88. Which is greater: -1\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-9)*v))\/(v*v*v*(v\/v**(8\/7)*v)\/v*v)*(v\/(v**14*v))\/(v\/(v**(-2\/19)\/v)) assuming v is positive.\nAnswer: v**(-1458\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + 4*z - 3*z - 5*z + 3*z + 5*z + (3 + 3 - 4)*(-z - z + 0*z))*(-340 + 1791 + 710) to k*z + x and give k.\nAnswer: 6483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16418*i + 5*m + 112 = -16421*i, -5*i - 5*m - 120 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3919 (base 12) in base 11?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284615002.\nAnswer: 2, 7, 71, 286333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1085*i - 1047*i - 512848 = 0. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7512543 = 264*x + 7506735 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(5) - (-4 + sqrt(5) + 0)))**2*-3.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1278 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/(-3))\/((-8)\/(-60)). Suppose -4*l + k = l. Solve l = 4*x - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(sqrt(17) + 5*(1*sqrt(17))**2) + (sqrt(119)*1*-1)\/(sqrt(28)\/sqrt(4)*-1) + 1.\nAnswer: 4*sqrt(17) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/4)\/((-12)\/144). Let g = s + -3. Let y = g + -4. Put 5, y, 0 in ascending order.\nAnswer: 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6480*h**5 + 55*h**4*q - 22*h**3 - 15*h**2 + 31360*h*q - 8*q wrt h?\nAnswer: 388800*h**2 + 1320*h*q - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 105*g**2 - 222*g + 908. Give j(4).\nAnswer: 1700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-2856)*17*-51.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, -1, -131, -329, -601?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4785.9685 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 8:39 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 1 - 1)*(3 - 2 + 0) + 1 - 1 - c + 3*c - c + 0*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -1)*4\/78. Let r = -43 - -22. Let s = r + 21.3. What is the second smallest value in 4\/5, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1580)\/(-14536)*(-57)\/(-190).\nAnswer: 3\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 17*u**2 - 6*u. Let z(j) = -6*j**2 + 2*j. Let w(h) = -4*x(h) - 11*z(h). Calculate w(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2003301 (base 4) to base 9\nAnswer: -12510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 169*i + 1027. Suppose 2*c = -4, -2*v + 5*v + 3 = -3*c. What is the remainder when s(-6) is divided by (-2)\/(v\/(17\/(-2)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*k - k + 2*j, -2*k + 5*j - 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71159647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/16)\/((-2)\/9456). Let h be (k\/(-156))\/3 + 4\/(-26). Solve h = -4*c + c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.051 (b) 0.019 (c) -2 (d) -4 (e) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (458\/1)\/((-2)\/(-100)). Suppose 0 = 5*v - 4*z - 3867 + u, -2*v = -5*z + 7603. Let c = v + 2109. What is c rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2592)\/(-118) - (-868)\/(-38409)*3\/(-2)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.2 (b) -4 (c) -8 (d) 10899\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by -86990.\nAnswer: -96\/43495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -24 + -19 + 13 + 18 + -1 + 71?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.8885 plus -16616.82?\nAnswer: -16598.9315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1392 - -1.\nAnswer: -1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/203133, 7, 37?\nAnswer: -2\/203133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*m**4*u - 832*m**4 + 2*m*u + 5611*m - 2*u - 1 wrt m.\nAnswer: 480*m**2*u - 9984*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30811 is divided by 487?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/19)*q)**(1\/19) assuming q is positive.\nAnswer: q**(36\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 = -6. Suppose -3*f - 38 = -5*f - 3*l, 0 = -2*f + i*l + 28. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217666489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(170) - (sqrt(170)*2 - sqrt(170))))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -768*g + 4032*g + 1698*g - 804*g as y*g + h and give y.\nAnswer: 4158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -26, -7021 in descending order.\nAnswer: -20, -26, -7021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 867686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 9, o: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 62. Give j(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 18. Suppose -24*y + 6 = -25*y. Let m be p(y). Suppose 0*u + 6*u - 9942 = m. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m**2 - 4. Let h be y(4). Calculate the greatest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 7 - 3 - 5*t**2. Let a(w) be the third derivative of -w**4\/24 - 2*w**2 + 341*w. Give a(i(z)).\nAnswer: z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + -1 + 3)**2 + sqrt(147) + ((2 + sqrt(147))**2 + sqrt(147))*5)*1 + 5*(6*(sqrt(147) + 3))**2*-6.\nAnswer: -167574 - 45150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 0*h - 18 = 0. Let v be h + 1 + 6\/9. What is the smallest value in 2, 43, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*r - 6*u - 30 = 83*r, -r - u = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96953 is divided by 833?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 726\/55 - -2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -39, -42, -45?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h**3 + 6*h**2 - 6*h - 6. Let m = 777 + -783. Let v(p) = -p**3 + p**2 - p - 1. Determine m*v(x) + z(x).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 2131788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-89)\/(-57) - 26\/39.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1*2\/(-1)). Let w(d) be the first derivative of -3*d**2 - 6*d - 2 - j + 5. Let u(i) = -5*i - 5. What is -5*u(x) + 4*w(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 449228023.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13782 = -113*g - 142*g - 243 for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*5\/30*2)\/(-21).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 divided by 192?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 5*r**2 - 5*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056 + 113165?\nAnswer: 113164.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + i. Let w(c) = c**3 - 6*c**2 - 21*c. Determine -6*d(z) + w(z).\nAnswer: z**3 - 27*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -28, -11.5, -1\/5, -0.3, -3\/2, -3\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1554226 and -2.\nAnswer: -1554228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -2*u, 17 = -u - 3*u + 5*a. Solve 4*l - 2*l + u = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -17 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 821, 1606, 2391, 3176, 3961, 4746?\nAnswer: 5531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/220)\/(75\/40).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 10*t**2 + 13*t - 5. Let d be (-13)\/(-2) + (-23)\/46. List the prime factors of b(d).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1368079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0064447152 to 5 decimal places.\nAnswer: -0.00644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 0. Suppose 3*k - 6 = p. Calculate the remainder when 10 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1716 and 91\/66.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5721408 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/3*(0 - -3). Suppose -4*g - 2*a = 2*a - 279992, -a = -v*g + 350002. Round g to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g. Let z(l) = -50269672*l - 1. Calculate c(z(x)).\nAnswer: -100539344*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -5*t + h - 3*h, -5*t = 4*h - 240. Suppose 3*a + t = 7*a. Which is bigger: a or 10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 21, -15, 0, -4, 5 in increasing order.\nAnswer: -15, -4, 0, 5, 21, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*i - 15. Let c = 2 + 1. What is the second derivative of p - 5*p**4 + 3*p**4 + c*p**i wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 993 + 1*12\/(-4). Let c = y - 636. Is 8\/(-6)*c\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 447317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -37*n + 43 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 2*h - 1. Let q(a) = 12*a**2 + 14*a + 5. Determine -6*f(g) - q(g).\nAnswer: -18*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1098 by 446.\nAnswer: -549\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + y - 1, -3*q + 6745*y - 6733*y - 12 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*z**2 + 6*z**4 - 12*z**2 + 4 - 4 - 2*z**4 + (-2*z**3 + 2*z**3 - z**3)*(4 - 4 + 3*z) + 2*z**4 + 3*z**3 - 3*z**3 - 3*z**4 + 3*z**4 + 2*z**4.\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 26532*v**4 - 168084*v**3 - 132356*v**2 + 62148*v - 112 = 0. Calculate v.\nAnswer: -1, 4\/2211, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y + 0*y**3 - 2*y**3 + 2 - 3*y**3 + 6*y**3 + 6*y**2. Let v be a(-5). Solve u + 2 = -v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1170, 3488, 7546, 13344, 20882, 30160?\nAnswer: 41178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**5\/135 - 5*a**4\/108 + 2*a**3\/27 + 2*a**2 - 6*a. Let m(p) be the first derivative of b(p). Solve m(o) = 0 for o.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*x + 29 = 5, 2*j - 6 = -2*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*(p*((p\/((p\/p**10)\/p))\/p)\/p*p)\/p*p**(-1\/6)*p*p*(p\/((p*p\/(p*p**6))\/p))\/p)**18 assuming p is positive.\nAnswer: p**303","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8528\/(-1968))\/(13\/222)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 140\/6 + 3184\/1194\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647548?\nAnswer: 2, 7, 29, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 3*r + 5. Let v be h(-2). Let l(s) = s**3 + 9*s**2 + s + 9. Let p be l(v). Suppose -2*g - 8 + 38 = 0. Solve 3*y + g = -p*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2009889*s**2 - 1070*s - 2323 wrt s?\nAnswer: -4019778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4571*f + 8184 = 9194*f - 4561*f for f.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3 + 3)*(6 + 5 - 3)*(-726 + 825 + 862).\nAnswer: 15376*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 166200 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829012 is divided by 455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbz when three letters picked without replacement from {z: 6, w: 3, b: 3, a: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -r, 0 = -3*v - 10*r + 362 - 261 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (6 - -6) - -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*-1)\/(2\/(-3)). Suppose d = -o - 0*o. Calculate the lowest common multiple of 0*o\/6 - -14 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 7. Let b be p(11). Suppose 6*q = b*q - 60. Suppose 0 = -3*l - q*s + 2 + 25, 0 = 3*l - 3*s - 3. Let v(t) = t**2 - 5*t + 4. Determine v(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -0.3. Let d = -0.7 - o. What is the nearest to 0 in d, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201*m**3*v + 70*m**2*v + 11*m**2 wrt m?\nAnswer: -1206*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + 5*h + h**2)*(34*h**2 + 15*h**2 - 8*h**2 + (h + 2 - 2)*(-h + 4 - 4) + h**2 - 15*h**2 + 8*h**2) as o*h**4 + c*h**3 + m*h**2 + w*h + s and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 1\/2*f**2 + 2 - 1\/3*f**3 + 0*f. Factor b(m).\nAnswer: -m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/165? (a) 3 (b) 1 (c) -23\/3 (d) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -459 and 23238.\nAnswer: -10666242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 937553\/1755 or 534?\nAnswer: 937553\/1755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/5 - (-105)\/75. Put 1, s, -17 in decreasing order.\nAnswer: s, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -284, -277, -256, -215, -148?\n\"Answer: r**3 + r**2 - 3*r - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -24 + 23 - 48\/(-18). Factor -1\/3*d**3 + 5\/3*d**2 - t + 1\/3*d.\nAnswer: -(d - 5)*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*q - 80*q + 2965*q + 357*q.\nAnswer: 3317*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 819812203 to the power of 1\/4, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(5\/7)*(u**3)**18 assuming u is positive.\nAnswer: u**(383\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**6\/120 + z**5\/15 - z**4\/12 - 5*z**3\/6 + 7*z**2. Calculate a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -18. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/261 + 1684\/(-15156)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdf when three letters picked without replacement from {p: 1, d: 1, r: 2, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*y + 5 + 5, 5*y = 3*b - 19. Let i be (30\/4)\/(b\/12). What is the third derivative of -33*j**2 - 4*j**6 - i*j**2 + 61*j**2 wrt j?\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -442*p + 28. Let i(j) = -2*j**2. Give a(i(q)).\nAnswer: 884*q**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*a*a**3\/a*a**(-2\/3)\/a*((a*a\/a**(3\/2)*a)\/(a*a**(-5)))\/(a*(a*a**(2\/11)*a*a)\/a*a**(-3\/4)) assuming a is positive.\nAnswer: a**(-79\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 14 - 7*q)*(9579 - 9579 - 149*q) in the form n*q + a*q**2 + w and give a.\nAnswer: 1043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - -8 - (3 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**3 - 649*h**2 - 510*h + 3155. What is b(163)?\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c - 6. Suppose 0 = -15*d + 43 - 13. Give x(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*r = -0*r + 8, 2*r = -3*f + 16. Suppose 7*a = 2*a - v + 199, 4 = -4*v. What is the least common multiple of a and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970814 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/4 - -3)\/(4\/(-24)). Solve -10*t = 38 + n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 - 60 + 157 = 50*w. Let y(l) be the second derivative of 0 + 7\/22*l**4 - 12\/11*l**2 - 12\/11*l**3 - w*l. Factor y(f).\nAnswer: 6*(f - 2)*(7*f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-476)\/(-49))\/(9\/((-504)\/(-16)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(2 + (sqrt(1700) + 0 - sqrt(1700))**2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.3. Let h(p) = p**2 - p + 3. Let t be h(2). Which is the closest to i? (a) -0.4 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7641.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*j, 3*j + 4 = -n - 2*j. Let l(r) = r**2 - 12*r + 14. Let q be l(n). Solve 2 = 5*y - q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -820029.7 + -4\nAnswer: -820033.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*g - 24 - 105, 4*g - 149 = u. What is the remainder when 36 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 4) to base 13.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*n**2 - 3*n**2 + 10*n**2 + (3*n + 11*n - 12*n)*(2 - 2 - 2*n) to s*n**2 + v + g*n and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + 4*c**2 + 102*c - 42. What is the remainder when x(-6) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(((-210)\/(-5))\/3))\/((-42)\/490)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -60113998 and -16.\nAnswer: -60114014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 21.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (8 + 16 + -14) - 10 - 111 - 14?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10553\/4 - -73867\/28. Which is the smallest value? (a) f (b) 2 (c) -1\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*j, -12 = 2*z - 3*z + 2*j. Solve z*s + 20 = x, -1 = 2*x - s - 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15154 (base 6) in base 15?\nAnswer: ad1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0+-0.0174298\nAnswer: -0.0174298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**2\/2 - 720621*g\/2 + 1441250 = 0.\nAnswer: -720625, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 307, 595, 873, 1141, 1399, 1647, 1885?\n\"Answer: -5*n**2 + 303*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 22. Let p(t) = 5*t**3 + 26*t**2 - 151*t - 757. Let l be p(-5). Solve -4*a + l = b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-35))\/(42*32\/(-16240))?\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 172\/6*(-3)\/(-2). Let x = k + -16. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - 9*r - 2. Let z be y(-7). Do z and -37 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 11*p = 515. Suppose -j + n = -2*n - 57, 5*n = 2*j - 117. Let l = j + -45. What is the remainder when p is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**5\/10 - g**4\/2 + 4*g**2 + 8*g. Let b(q) = 0. What is q?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*c + 14*c + 5194 = 27*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 165*m**2 - m + 4. Let l(x) = 5372*x + x**2 + 2*x**2 - 5372*x - 2*x**2. Determine d(l(c)).\nAnswer: 165*c**4 - c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-8 + 7 + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*i - 20, 0 = -7*c + 4*c + 3*i + 36. Let y = c - 4. Suppose 0 = 7*n - 3*n + 20, -2*n + 44 = y*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -9*o**5 - 3*o**4 + 81*o**3 + 63*o**2 - 96*o - 36 = 0?\nAnswer: -2, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (42\/7 - 4) + 55 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c**5*s - c**3 - 6*c**2*s + 2*c*s + 8*c - 2*s + 975 wrt c?\nAnswer: 100*c**3*s - 6*c - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqqqrqqqqrqqqqq. What is prob of picking 3 r?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62282575 is divided by 172.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(175) + 1 + -5*(sqrt(175) - (sqrt(175) + 1)) - (sqrt(175) + -3 + 1 + sqrt(175) + sqrt(175) + sqrt(175) + 0))**2.\nAnswer: -360*sqrt(7) + 1719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.413 - 0.913. Which is the closest to -1? (a) -0.3 (b) 0.5 (c) g (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181893039 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 3 - 3)*(-41*u**3 + 1297370*u + 7 - 1297370*u).\nAnswer: 123*u**5 - 21*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 4. Let k be m(-4). Let s(f) = -5*f + k*f + 3*f + 0*f. Let o(z) = -5*z. What is o(s(c))?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 53*n**2 + n. Let t be k(1). Calculate the greatest common divisor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.82315 - -1.873. Let g = x - 0.05. Round g to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 975295094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 2810932?\nAnswer: -2810930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2173 + -2173.00098. What is x rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16160 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -k + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22453058*w**2 + 1983590?\nAnswer: -44906116*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 85? (a) 5 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyr when three letters picked without replacement from izyriy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 54889.95 weeks?\nAnswer: 33197441760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2645*z - 5903*z - 508536 = 4814*z for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22713, 45307, 67771, 90039, 112045, 133723?\nAnswer: 155007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 403*b + 2*b**2 - b**2 - 388*b + 17 - 1. Is t(-16) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4395 - 21*v**2 - 4393 - 35*v**2)*(0*v + 0*v + v + (-v + v - v)*(2 + 1 - 1)).\nAnswer: 56*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 322.\nAnswer: 321.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 7. Suppose j = 5*j - 36. Suppose -j*v = -14*v. Suppose -m - 6*l + 4*l = v, 3*m - 14 = l. Give i(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428125 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 6*l = 4*z - 41, 4*z - l = 11. Suppose 4*v + z*o = 336, 4*v - 236 = v + 5*o. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13172 rounded to the nearest 100?\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 12*j**3 + 3*j**2 + 24*j - 12. Let l(t) = -11*t**3 - 2*t**2 - 24*t + 10. Let k(d) = 6*l(d) + 5*u(d). What is the second derivative of k(y) wrt y?\nAnswer: -36*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -53. What is the fourth biggest value in -2\/7, j, 0.1, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 107.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 195.7.\nAnswer: -1761.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -5, 6542?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 20 = -13*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 29791*z**6\/60 - 30752*z**5\/5 + 31744*z**4 - 262144*z**3\/3 - 397*z**2 - 7*z. Solve f(y) = 0.\nAnswer: 64\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6344 or -1\/2?\nAnswer: -6344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -95854, -5?\nAnswer: -95854","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36932682 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17127 is divided by 237?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 12*v + 14. Let a be p(-7). Solve k - 6*k = a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 12*v**2 + v**2. Let j(l) = -3*l. Determine j(b(q)).\nAnswer: 39*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -648.2775 + 648. Round w to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/4 - 3)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000546051 rounded to five dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, -1, 1618?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 286*i**3 - 31*i**3 - 70*i**3 + (i**3 + 2*i**3 - i**3)*(3 - 1 + 14).\nAnswer: 217*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 255 (c) -5 (d) 5 (e) -1 (f) 1\/98\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-115 - -114)*(-1)\/((-1)\/(-7039)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c + 7*c - 8*c - 2*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/4)\/(-1))\/(21\/84)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 3*o + o - 3*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = 4. Let f be a*(2 + 5\/2). Let b = 13 - f. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 10*r - 8. Give g(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 414 = -970 - 794. Let j be (46\/1)\/((-5)\/5). Is j smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16764 = 19*n - 30*n. What are the prime factors of n?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10927 - 10927.4. Which is the closest to 8? (a) k (b) -36 (c) 1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 15*w + 2 = -4*c, -w = -c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85166676 a multiple of 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -29.61. What is v rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 4:41 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4285654 and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:40 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 345 + -344. What are the prime factors of (-4 + (259 - 0\/4))*v?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/35*(-10)\/(-36) + (-65)\/(-2160) and -89\/180?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 3) in base 11?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*h - 12, 0*n + 4*h = -n + 8. Suppose -5*m - d + 743 = -2*d, 0 = 2*d - n. Calculate the remainder when m is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -17348644*f**2. Let h(z) = z. Give k(h(i)).\nAnswer: -17348644*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 = -0*r. Let q(s) = -s**3 - 3*s**2 - 2*s - 1. Let t be q(r). Let u(j) = 2*j - 9*j - 20*j**2 + 2*j + 6*j. What is u(t)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*w - 54*w - 71501*w**3.\nAnswer: -71501*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97724 by -1.\nAnswer: 97724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -35*l**4 - 685*l**3 + 17390*l**2 + 17965*l - 75. Let j(z) = -3*z**4 - 57*z**3 + 1449*z**2 + 1497*z - 6. Let r(f) = 25*j(f) - 2*t(f). Factor r(o).\nAnswer: -5*o*(o - 13)*(o + 1)*(o + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1)\/(3\/(-90)). Suppose k = 3*v - 42. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/7, -16\/3, -20, 1, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 23*o. Let x(a) be the first derivative of a**3\/3 + 43. Give x(c(u)).\nAnswer: 529*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -14, -15, -0.0691?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/148 and 29\/7.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 - -249. Let v = 139 - o. What is the smallest common multiple of v and 39?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 21904.695?\nAnswer: 438.0939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 6:25 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 + 1110?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 316 = f + 5*g, 0 = -2*g + 10. Let w = f + -59. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 9788*w + 9792.\nAnswer: -4*(w - 2448)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2628, 5172, 7546, 9666, 11448, 12808, 13662?\nAnswer: 13926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 15, -1\/3, -3\/5, -23.\nAnswer: -23, -3\/5, -1\/3, -0.01, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2531, 8, -7, 1 in ascending order.\nAnswer: -2531, -7, -4, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11023121 (base 4) to base 7\nAnswer: 115556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 1715182 = 170*g + 328006. What are the prime factors of g?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 4, -0.02, 0.4, 11972\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 5 + -3 - (2 - 6). Let j be ((-2601)\/(-54))\/17 + d\/12. Solve -3*k - 5*u + 8 = 0, 5*k = u - j + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-1 - 34) + 20 - -118.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*f - 6*f**2 - 98*f - 3*f**2 - 64*f + 25*f**2 + 260*f.\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*p = 487, 630 = r - 3*p + 168. Calculate the highest common factor of r and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*10\/30)\/(100\/120)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16)*-22 + -5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 87\/5 of a decade?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 8 - 11 - 5*w - 37 + 7 + 11.\nAnswer: -5*w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85546570 is divided by 316.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*h = -21, 5*f - 48 = -0*h + 4*h. Let i be ((-2)\/4 + 1)*6. Suppose -i*o + 2*y + f = -y, -4 = 2*o + 4*y. Solve -d = -o*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 - 80. What is the greatest common factor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + 5.4. Let g be (6\/5)\/(6\/(-4)). Which is the biggest value? (a) -0.05 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 992 and 39122.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.383 and 0.1.\nAnswer: -1.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 2424031?\nAnswer: 2424038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32331351 + 5?\nAnswer: -32331345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8583810.\nAnswer: 2, 3, 5, 17, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 298 - 310. Let r(q) = 2*q**2 + 20*q - 8. List the prime factors of r(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4470\/337501?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12216656 - -5.\nAnswer: -12216651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btt when three letters picked without replacement from ffbbbfbbbbttbbft?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4211259?\nAnswer: 3, 13, 107981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7 + -3)\/20 - (-2796)\/20 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 - 5*c - 6. Let d(h) = -h**2 - h - 1. Calculate -10*d(x) + 2*u(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -33, -53, -87?\n\"Answer: -7*a**2 + 15*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhuuushuubbhhbbh. What is prob of picking 1 s, 2 b, and 1 h?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 67.22626692 and 0.53.\nAnswer: 67.75626692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(12) - sqrt(12))*-3)\/(sqrt(16)\/sqrt(4)*-1))**2*-5.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i = 15*i + i + 60. Let h(a) = 4*a + 6*a**2 - a - 13 - a**3 + a. Determine h(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**7*r)\/r)\/(r\/(r*r*r**(2\/49)))*r**44*r*r**32 assuming r is positive.\nAnswer: r**(4167\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -3*t**4 - 2*t**3 - t**2 + 14. What are the prime factors of s(-2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 1851*v**5\/20 + 49*v**4\/12 - v**3\/6 + 1410*v. What is the third derivative of l(i) wrt i?\nAnswer: 11106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18112885 - 2?\nAnswer: 18112883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 10*t + 38. Let z be p(10). What is the first derivative of -22 + 14*m**4 + z*m**4 - 26 wrt m?\nAnswer: 208*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -31235120.\nAnswer: 9370536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 709. Let n(h) = -3*h**2. Calculate n(b(t)).\nAnswer: -27*t**2 - 12762*t - 1508043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 17*s**2 - 16*s + 53. What is b(-16)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - -17 - (-9 + -3 + 9 + 3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x**2 - 56. Let o(k) = -15*k**2 - k + 110. Let j(n) = 13*a(n) + 6*o(n). Let c be j(12). Solve -d + 15 = c*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*b - 131 = -482 + 3853 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 2, 1, 33871 in ascending order.\nAnswer: -1, 0, 1, 2, 33871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -431*g**2 - 112*g + 82953?\nAnswer: -862*g - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1 - (-45 + 49)) + (-7 - 1) - 65\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = 5*w, -5*o + 5*w - 72 + 107 = 0. Let a(g) = -170*g**2 + 542*g**o - 175*g**2 - 186*g**2. Let v(x) = 0*x + 0*x + 3*x**2. Give v(a(l)).\nAnswer: 363*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 18 + 10)*(-2*v**2 - v**4 + 2*v**2) + 141*v**4 - 15*v**4 + v**4.\nAnswer: 151*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*c + 2092, -c + 1175 = 3*l + 4333. Let h = l - -1729. What are the prime factors of h?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 2 = -2*k, -5*k - 5 = 0. Let j(s) = 4*s - s + q*s. Let g(o) = 2*o. Give g(j(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1\/6 (c) -6 (d) 2\/241 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from rfafz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-nine halves of a micrometer?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - 6. Let j = p - -11. Let q = 21 - 83\/4. What is the nearest to q in -1\/7, -3, j?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/91 - -275\/182. Suppose 6*t = -9*t - 15. What is the nearest to t in 2, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2. Let g be 6\/15 + (1 - 3\/(-5)). Let b(s) = 163 - 163 + 49*s**2 + 6*s**g. Calculate p(b(c)).\nAnswer: -3025*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(875)\/sqrt(7) + -5)**2 - 5*(sqrt(500) + -2 + sqrt(500))*-1.\nAnswer: 30*sqrt(5) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1092 + 1807. Calculate the highest common factor of l and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151703 at most -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, e: 5, d: 3, v: 1}. Give prob of sequence vd.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.02615 - 0.02615. What is the fifth biggest value in 3\/8, -9, 5, u, -14\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwhwwwwhhwwhwwwhhhhw. Give prob of picking 1 w and 1 h.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 181469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 22*i. Let z be l(-11). Solve -3*j - j = z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5608, 5552, 5524, 5536, 5600, 5728?\n\"Answer: 2*s**3 + 2*s**2 - 76*s + 5680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/14 - 18876\/(-1694).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {x: 3, s: 1, g: 3, t: 1, j: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l. Suppose -4*m + 2*g - 12 = 0, 3*m + g - 3 = 3. Let n(r) be the second derivative of 1\/3*r**4 + r + 0*r**2 + m*r**3 + 0. Give d(n(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -73 + 14 + (-27 - -20 - 14) + (-2 - -8)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255, -510, -765, -1020, -1275, -1530?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 0. Let m be (-10)\/(-20 - -24 - -5). Which is the second biggest value? (a) -3 (b) m (c) x (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 7068*h**2 + 4163052*h + 817345876.\nAnswer: 4*(h + 589)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, r: 1, i: 1, o: 2}. Give prob of sequence ri.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -214051?\nAnswer: -214034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191 - 109. Suppose 6*a - u = -10. Let o be (9\/a)\/((-1)\/(-4)). Solve 2*y + 14 = 2*h + o*h, 0 = 4*y + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31281655 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + 10 + 0 + 1 + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855 - 27 = 414*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/4, 0.1, 17, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 33*l + 14. Let i(o) = 7*o + 3. Give -2*h(x) + 11*i(x).\nAnswer: 11*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(140)\/(sqrt(8)\/sqrt(2)) + sqrt(35) + (sqrt(560)*1 - sqrt(560)) + sqrt(35)))\/(1*(-2*sqrt(35))\/sqrt(5)*2))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6\/(60\/9650) - -10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.42 + -5.22. Let t = 4.2 + u. Which is the nearest to -1? (a) t (b) -1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {g: 3, n: 1, u: 1, t: 1, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 37*v**3 - 217*v**2 - 42*v + 271. Give y(6).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p + 2. Find the third derivative of c**2 + 7*c + 3*c - 10*c + p*c**3 wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 14*i - 46. Calculate j(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from leeefufe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, -10 in descending order.\nAnswer: -5, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -2, 0.063, 10, 5, -5\/4?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -7) + (-24)\/1. Let u = -11 - y. Calculate the lowest common multiple of -5*(-1 + (-4)\/u) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3951528 divided by 42\nAnswer: 94084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 5, k: 13}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 3. Let q be x(7). Let r(v) = -3*v + 4. Let y(m) = -12*m + 15. Let s(p) = -9*r(p) + 2*y(p). Let j(i) = i - 2. Calculate q*j(b) - 6*s(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58682*b**2 - 30 - 21 - 70370*b**2 + 51 to w*b + u + a*b**2 and give a.\nAnswer: -11688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + 1.99. Let s = q + -2. Let i = 10.1 - 7.1. Put i, s, -1\/5 in decreasing order.\nAnswer: i, s, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2491*x**2 - 32*x**3 + 1217*x**2 + 1274*x**2.\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17429 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 16031 = 5*h + 15946, -13*h - 5*b + 20 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + 135. Let f = v + -47. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.28 - 0.12. What is the nearest to 2 in -4, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfnf when four letters picked without replacement from {n: 1, k: 4, f: 2, l: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2, 3\/4, 0.1, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382355 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 47*x - 27*x - 20*x - 17*x**2 as q*x**2 + d*x + r and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11*d + 7*d**2 + 7*d - 5 - 13*d. What is the tens digit of s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*p - p. Solve 3*l = p - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1896678051?\nAnswer: 3, 4001, 158017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 3*z + 3. Let r(h) = h + 1. Let c(g) = o(g) - r(g). Let l be c(-4). Solve 0 = -l*s - 2*s + 5*j - 12, -s + 2*j = 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -309 + 297. Which is bigger: a or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*(-1 + sqrt(847)) + sqrt(847) - sqrt(847)) + 1).\nAnswer: -10 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.278863ns to seconds.\nAnswer: 0.000000008278863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:19 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - -1 - (81 + -34 + -39)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1798863941.\nAnswer: 7, 127, 289067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -40, -66, -102, -148?\n\"Answer: -5*v**2 - v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h. Let j(m) be the third derivative of 739*m**5\/60 - m**3\/3 + 2*m**2 + 337*m - 6. Determine t(j(l)).\nAnswer: -2956*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 76606.43 kilometers?\nAnswer: 7660643000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9455, -19137, -28819, -38501, -48183, -57865?\n\"Answer: -9682*z + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 11. Let y be -1 + (z - -4) - -161. Suppose 4*j - y = 163. Does 34 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u. Let f(m) be the third derivative of m**4\/12 - m**3\/6 + m**2. Suppose -12 = 5*h + j - 0, 0 = -h + 5*j + 8. What is h*f(i) - 6*l(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 - 130. Suppose 16 = w - y, -4*y + 7*y - j = 0. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + y**2 - 3*y. Let j be i(3). What is the highest common factor of 135 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 917*u**6 - 1213*u**2 - 2*u wrt u.\nAnswer: 110040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.1 (c) 1\/12 (d) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -556760, -1113484, -1670208?\n\"Answer: -556724*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/3 of a day?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v + 20. Suppose 3*u + 42 = 4*u + 4*z, -2*u - v*z = -90. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 14. Let x = 1108 + -1107. What is the greatest common factor of q and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00832 + -0.31268. What is z rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 27. Suppose 0 = -5*v + 4*v + 5*m - 5, -4 = -4*v - 4*m. What are the prime factors of s(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 7 - 2*g - 10*g**2 - g**3 + 9*g + 0*g. Let d be c(-11). Suppose 2*k - 356 = 5*z + 42, -d*k + 3*z = -824. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 13. Let w be q(7). Let m be w\/(-9) + 67\/3. Let n = m + -18. Let z(j) = -7*j - 5. Let u(r) = 6*r + 4. Calculate n*u(i) + 4*z(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*y, 5*k + 6 = 10*k + 4*y. Solve d - 3*o = -2, -k*d + 5*o = d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/251, 28.6, -0.2, 0.\nAnswer: -0.2, -2\/251, 0, 28.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 - 1214 + 5*x**2 - 6*x**2 - x**2 - 2971 in the form l + r*x + i*x**2 and give l.\nAnswer: -4185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -388 by -10.\nAnswer: 194\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92.966 + -0.766. Let c = x - 92. Let a = 2591\/30 - 173\/2. What is the nearest to c in a, -3, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3ac2 - -2?\nAnswer: -3ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -18050000 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 11*q**2 - 26*q - 176. Give h(-9).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 415*l - 9. Let a be k(1). Suppose -j + a = -4*r, -6*j - r = -7*j + 391. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f + 328. Let k be z(38). Sort -1, -0.2, 15, -0.3, k in ascending order.\nAnswer: k, -1, -0.3, -0.2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 - 3*x + 3*x + (1 + 0 + 1)*(-2*x**4 + x + 4*x**4 - 2*x).\nAnswer: 2*x**4 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -37*m - 3. Let d(b) = 12*b + 1. Suppose -46*v - 32 = -42*v. Give v*d(p) - 3*c(p).\nAnswer: 15*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 2, v: 4}. What is prob of picking 1 b and 1 v?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from llppllpllllppl?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + (sqrt(260) + (sqrt(260) - 4*sqrt(260)))\/sqrt(10))\/(sqrt(200)*3).\nAnswer: -sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11081 is divided by 60.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjgfsis. Give prob of sequence bss.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1249.172 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 33401 (base 5) to base 6\nAnswer: 14515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.665560549 to three decimal places.\nAnswer: -5.666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*c = -26, 4 = 2*k + 157*c - 153*c. What is the remainder when 69 - (1 - 0\/1) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3))**(-17\/2)*(w**(-2))**(-2\/81))\/(((w*w\/((w*w**0*w)\/w)*w)\/w*w)\/(w\/(w\/w**(-10))*w))**(-29) assuming w is positive.\nAnswer: w**(51227\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56889733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 461*a**2\/4 + 459*a\/2.\nAnswer: a*(a - 459)*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61 + 123544?\nAnswer: 123605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/2 - 629*g**3\/6 + 845*g**2\/6 + 209*g\/6 - 211\/3 = 0 for g.\nAnswer: -211, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -15651.8073 to the nearest one hundred.\nAnswer: -15700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1310, -2625, -3940?\n\"Answer: -1315*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 82 = -89. What is the common denominator of (-28)\/z + -9 - (-55)\/26 and 63\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((1053\/(-4455))\/(-13))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 67. Suppose -30*x = -i*x + 23. Suppose -2*q + x = -31. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (4 + -12) - (0 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7))**(41\/3)\/(z\/(z*z**(2\/7)))**(-16) assuming z is positive.\nAnswer: z**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000288058098 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 + 2*d + 16*d**2 - 9*d**2 + (-4*d + 2*d + 4*d)*(6*d + 7*d - 5*d) to y*d**2 + i*d + o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(25\/(-10))\/((-20)\/48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2098 + 3.7902. What is the third biggest value in 0.4, 5, -1\/3, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -150, 0, 2, -0.19, 2\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b - b)*(5 - 2 - 1) + 2*b - 4*b + 0*b + (3*b - 3*b + 2*b)*(-4 + 3 + 0) + 9*b - 5*b + 25*b.\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -2\/5*k**2 + 2\/5*k + 0*k**3 - 7 - 2\/25*k**5 + 1\/5*k**4. Factor h(m).\nAnswer: -2*(m - 1)**3*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6623*p - 6361*p + 19336*p - 6364*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) -1 (c) 553 (d) -0.144\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*b**3 + 1342*b*n**3 - 25*n**3 + 853 wrt b.\nAnswer: -36*b**2 + 1342*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134 and 538144.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1703, -19283, -48583, -89603, -142343, -206803, -282983?\nAnswer: -370883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 6. Let d be w(3). Let u(l) = -l**2 + 2*l - 1. Calculate u(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 446966*h**3 - 446985*h**3 + h.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25828 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44858, 44738, 44702, 44792, 45050, 45518, 46238?\nAnswer: 47252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208845\/464 or -449?\nAnswer: -208845\/464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 1419?\nAnswer: -4257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*c = -44*c + 39 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6201852 - 26898148. Round u to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 o, and 1 c when four letters picked without replacement from fowccoxcftoffto?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 47*m + 187\/4.\nAnswer: (m + 1)*(m + 187)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -13. What is the smallest common multiple of 144\/15 - 4\/(-10) and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -503020, -503381, -503976, -504799, -505844, -507105, -508576?\n\"Answer: r**3 - 123*r**2 + r - 502899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 11*f**2 + 24*f + 5. Let b be h(8). Solve -3*p + 1 = -b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-1)*(-1397)\/(-635).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80627928 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 54*v**2 + 185*v + 1264. Calculate the smallest common multiple of 380 and s(-58).\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*n - 16 = 0, -5*c + 11 = -3*n - 14. Suppose 2 + 9 = f + 4*k, -4*f = c*k - 16. Solve 5*t = 5*r - 5, -2*t - f*t - 2 = -2*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9440 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(-2*a + a + 3*a) - 2*a + 1 - 1 + a + 3*a - 3 - 2*a.\nAnswer: 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s - 20. Let l = 0.91 - 1. Let v = 2.91 - l. What is the closest to -2\/5 in s, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7 + -3. Let c = -1.3 - a. Let w = -2.75 + 0.75. What is the closest to c in w, 3\/8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -3)\/((-2)\/(9 - 7)). Suppose 0 = -5*h - 12 + 27. Suppose -5*i = 5 - 25, -4*n - i = 0. Put h, n, c in descending order.\nAnswer: h, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1648 and 521592.\nAnswer: 1043184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeavqveaeavevaeqa. Give prob of sequence veve.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9980, -19931, -29856, -39755, -49628, -59475, -69296?\n\"Answer: 13*g**2 - 9990*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2673?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {p: 5, e: 2, s: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16*((-6)\/4)\/(-3))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 307, 775, 1243, 1711, 2179, 2647?\n\"Answer: 468*u - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11827 and 1690151?\nAnswer: 1678324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -5*108\/4. Let l = j + 200. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*o - 5*o - 18 = 0, 14 = -3*t - 5*o. Suppose 6 = t*r - 0. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 793, 791, 789, 787, 785, 783?\n\"Answer: -2*l + 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 32. Suppose -s = -3*x + 4*y, -5*y - 6 = -2*y. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3134737*g**2 - 8327*g + 24981. Let i(z) = 753*z**2 + 2*z - 6. Calculate 8327*i(k) + 2*j(k).\nAnswer: 757*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggiggi. What is prob of picking 3 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 1. Let h(k) = 9*k + 9. Let w(u) = -16*u - 17. Let c(d) = 11*h(d) + 6*w(d). What is -2*c(b) - 4*i(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 1, g: 4}. Give prob of picking 2 g and 2 j.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-70))\/(2\/(-8)). What is the closest to 0 in -2, -0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -0.696529382.\nAnswer: 0.496529382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.224 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34308.598 rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -37, 2, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 1052*t + 67649. Give p(69).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44360130 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13*j + 1. Let z(x) = -1160*x - 90. Let r(h) = -180*m(h) - 2*z(h). Let v(k) = -3*k. What is v(r(l))?\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -370835190 divided by -4486\nAnswer: 82665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 6, -6*j + 46*q + 31*q + 54*q = 129*q + 56 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(36\/(-14))*4\/21.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 3*j - 1. Let i = -1 + 0. Let h be q(i). Let t(p) = 46*p. Is t(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 3*q. Suppose -12 = 5*l - 9*l. Let i(g) = -g**3 + 2*g**2 + 11*g - 20. Let v be i(l). Give r(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 2249?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4352 = 455*u - 183*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 14*q - 44. Let m(d) = d**3 - 4*d**2 - 4*d + 4. What is m(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3\/g**(-1\/7)*((g\/g**(-1\/5))\/g)**21 assuming g is positive.\nAnswer: g**(257\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(187))\/sqrt(11) - ((sqrt(170) + (sqrt(170) - 2*sqrt(170))*-5)\/sqrt(10))**2.\nAnswer: -612 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*b + 135 = -438 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**2 - 3453. Let z(r) = 268*r**2 + r. What is d(z(i))?\nAnswer: -536*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1445, -154 in descending order.\nAnswer: -5, -154, -1445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - ((sqrt(114) + -2*sqrt(114))*-3 + sqrt(114)))\/sqrt(6)*1 + sqrt(114)\/(-5*sqrt(24))*1)**2.\nAnswer: 18259\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:47 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 479 - 474. Let q = -297 - -296. What is the nearest to -1 in w, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1292760, 1292794, 1292850, 1292928, 1293028, 1293150?\nAnswer: 1293294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30198?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 9*y**3 + 6*y**2 - 4*y + 3176. Let k(a) = a**2. Determine d(k(o)).\nAnswer: 27*o**4 + 12*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 423?\nAnswer: -31\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - (-2336)\/(-128)) + -12?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 1 - 7. Which is the smallest value? (a) q (b) 1\/7 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*a - 148, -12 = 2*a + 5*f + 37. Let v be (-18)\/40*a\/48. Put -0.5, 2, v in decreasing order.\nAnswer: 2, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:16 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 17*b**2 - 20*b - 16. Is s(-19) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-16*13\/(-208)). Let i = 1 - 4. Let p = 0 + i. What is the second biggest value in 5, q, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 6*h**2 + h + 7. Let p be n(-5). Let i be 29\/(-9) + 6\/p. Let t be (i\/(-6))\/(1\/50). Solve 4*d + d = -t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -7 - (1 - 0)) + (-9 - 4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1278791728 divided by 289844?\nAnswer: -4412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -94002798 to the nearest 10000.\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 10 + -59 + 40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 50*c**2 - 282*c + 267. Give p(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x*x\/((x**(-6)\/x)\/x)))*x*x**5)**(-2\/37) assuming x is positive.\nAnswer: x**(-34\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 2, f: 2, p: 7}. Give prob of sequence pfxx.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of (-18398432)\/(-1248) + (-20)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 7) + 1 - (-7 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 14*o**2 - 15*o + 4. Let y be j(-15). Solve 6 = 2*g - y*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 786*u - 1583*u + 805*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 2*b - 2*b)*(2 - 4 + 0) - 5 + 5 - b + (-b + 4*b - 4*b)*(-1 + 0 + 3) - 95*b + 14*b + 9*b in the form z + p*b and give p.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -2.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = -4. Suppose 24 - 2 = -t*l. Let n(m) = m**3 + 12*m**2 + 10*m - 9. Let j be n(l). Solve -j*x + 4 = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-6)*6340\/(-99855))\/(-2*1\/(-28))\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 17*v**6\/120 + v**5\/20 + 4*v**2 + 37. Let h(t) be the second derivative of x(t). What is the third derivative of h(j) wrt j?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = a - 16 + 2, 2*a = -s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1149 + -8059\/7. Let v(o) = o**2 + 5*o - 4. Let g be v(-6). Find the common denominator of (g\/(-18))\/(22\/318)*3 and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.039 + -3.961. Let u = -1.4 - -1.41. Let r = -3 + 2. What is the third smallest value in r, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -65*w**2 + 35*w - 31. Let k(s) = 13*s**2 - 7*s + 6. Let g(r) = 11*k(r) + 2*l(r). Let b(c) = 2 - 9*c**2 - 5 + 4*c + c. Determine 7*b(q) + 5*g(q).\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -439617436 at least as big as -439617436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 123049 and -0.3.\nAnswer: -36914.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 + 6*s. Let y be b(4). Let j be ((-18)\/y - (-171)\/60) + -4. What is the closest to -2 in 5, j, -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2690190 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f\/f**4)\/f))\/f)\/f**3)\/((f*f*((f\/((f\/(f**(2\/9)\/f))\/f)*f)\/f)\/f)\/(f**(-6)*f)) assuming f is positive.\nAnswer: f**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -44*f**3 - 11*f**2 + 31*f + 11. Let a(p) = 9*p**3 + 2*p**2 - 6*p - 2. Let u(j) = 11*a(j) + 2*c(j). Find the second derivative of u(n) wrt n.\nAnswer: 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 92740687\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 36. Let i be l(16). Which is the second smallest value? (a) 2\/3 (b) i (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 3 - 3 + (3*l**2 - 4*l**2 + 3*l**2)*(2 + 1 - 4)*(8 - 8 + 2*l**2).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7177, -14352, -21527?\n\"Answer: -7175*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 63 = t, 3*t + 2*t - 93 = -4*b. Suppose 29*z - b*z - 1476 = 0. What is the remainder when z is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Let 3*z**2 - 2*z - 3 + 3 + x*z**3 = 0. What is z?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**2 + 3. Let y(k) = -29*k. Determine o(y(j)).\nAnswer: -58*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171)*-4)\/sqrt(9) - sqrt(2793)\/sqrt(3))**2 - sqrt(190)\/(4*sqrt(10)*3)*-6)*4.\nAnswer: 2*sqrt(19) + 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 12*t**2 + 3*t - 34. Let o be v(-11). Let a = -54 + o. Solve 4*g = -a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -5 + -1 - ((0 - -7) + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k + 29. Let b be (-75)\/21 - 201\/469. What is j(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2002\/5055 - -4\/1011. Let s = -17 + 14. Let v = -130 - -646\/5. Which is the nearest to o? (a) 0.3 (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -126, -187, -250?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-20) + (-1 + -15)*(-16)\/5. Solve z = n*z - 98 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/1103788 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + 0*d**3 + 0*d**3)*(0 + d + 0) + (-12*d + 4*d - 6*d)*(2*d**3 + 2*d**4 - 2*d**3).\nAnswer: -26*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1680)\/1120)\/(((-3)\/126)\/((1*-3)\/3))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101623 - -710852883\/6995. Let r = -2507895733792547\/3103914997366950 + -2\/85333342425. Let k = r - a. Calculate the common denominator of k and 35\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76482074 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + (14 - -7) + 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*16726*(-527)\/34 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 3 + 0)*(u - 2 + 2)*(-2 + u + 2) to the form j*u**2 + i + s*u and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 760*d**2 - 2. Let q(r) = -9308*r. What is q(h(o))?\nAnswer: -7074080*o**2 + 18616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -15*k**6 + 2*k**3 - 6*k**2. Let q(y) = -61*y**6 + 9*y**3 - 25*y**2. Let z(r) = -9*m(r) + 2*q(r). What is the third derivative of z(g) wrt g?\nAnswer: 1560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 57 - 17. Suppose -3*a - a = 28. Let z = q + a. Solve -3*g + 2*s - z = 0, -s = -0*g - 3*g - 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 1. Suppose -6 = -3*c - 0. Let f = 21 - 0. Suppose 3*x - 3*r = -f, -4*x + 2*x = c*r + 10. Determine b(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1356 = -i - 262. Suppose -4*v + 3*f = -0*f - 2188, -2*v - f = -i. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, y: 5}. What is prob of sequence wwy?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 458\/5 - 1837\/20. Let t = 1.8 - 2. Which is the closest to t? (a) 0.1 (b) l (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (397*u**2 - 533*u**2 + 1081*u**2)*(2*u + 2*u - 5*u).\nAnswer: -945*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*g - 3*q + 4, -4*g + 24 = -3*q. Suppose -g*z**3 - 48 + 96 + 7*z**3 - 52*z = 0. What is z?\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {n: 2, f: 1, c: 1, g: 3, z: 1, v: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i = -g, g = 4*i - 4. Suppose -g*z + 14 = -50. Let p = 18 - z. Solve p*u = 12 - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + -4*sqrt(1216) + 4 + 5)**2.\nAnswer: -448*sqrt(19) + 19505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2165882788.\nAnswer: 2, 3389, 159773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 9*z - 14 to the form h + v*z and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Let m be g(-3). Let v(h) = h**3 + 9*h**2 - 5*h - 3. Does 21 divide v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 1066140*k - 56832724980.\nAnswer: -5*(k + 106614)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*g. Solve -4*v = -12, -3*w + 2*v + g*v = 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536356 (base 7) in base 9?\nAnswer: 351552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5\/4 + d**4 + 33*d**3\/4 - 36*d**2 + 27*d = 0.\nAnswer: -6, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 + -1.5. Let z = q + 0.1. Let c = z - -0.09999936. What is c rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 3)\/(3\/6) - -1573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*k = -9936 + 2086 - 20175 for k.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -21\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6235 a factor of 377859705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4 = 2*v, -k = -3*v - 24 + 30 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + (-6 - -2) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2ba2c1 + 5?\nAnswer: 2ba2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6936985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -37, 688, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/9*1062\/472. Calculate the highest common divisor of a and 256.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m - 4*i - 2, 7*i = -4*m - 6*i - 0 + 82 - 42 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3111021021 (base 4) to base 13.\nAnswer: -2474b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 6. Solve 3*o + c = -0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 12:44 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*t - 40 = 0, 2*i = 2*t + 2 + 38. Suppose 5*r = 2*n + 1 - 6, -3*n + i = -5*r. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87948 (base 16) in base 13?\nAnswer: -165a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135493, -135464, -135437, -135412, -135389, -135368, -135349?\nAnswer: -135332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = -24*d + 5*i, -2*d - 193 + 207 = 22*i for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.117cm in millimeters?\nAnswer: 961.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -439*n - 453. Let o(x) = -880*x - 910. Let z(i) = 4*o(i) - 7*y(i). Find the first derivative of z(f) wrt f.\nAnswer: -447","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 369 (base 14) to base 8\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + 82)*2\/4. Let r = -20 + f. Let y = 21 - r. Calculate the smallest common multiple of y and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*c**5 - 4\/3*c**4 + 16\/3*c**2 + 0 + 0*c + 16\/3*c**3 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 + 30 + (-22 - -24) + -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3))**(1\/25)\/(m\/m**(2\/7)*m\/(m\/m**25)) assuming m is positive.\nAnswer: m**(-4521\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7))**(-50)\/(o*o\/o**(2\/3))**(1\/61) assuming o is positive.\nAnswer: o**(18272\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -62*i**2 - 442*i + 491. Calculate z(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -22 - 17*b + 22. Let h(q) = 2*q**2. Determine h(y(r)).\nAnswer: 578*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222 - -110212?\nAnswer: 120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 31 + -20 + 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 5*w + 1. Let n(b) = 2*b**2 + 4*b - 1. Calculate 3*f(l) + 4*n(l).\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 + 6*b. Let i be m(-4). Let a(o) = -36*o**2 + 3*o + i + 38*o**2 + 0*o. Is a(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 7*f - 3. Determine n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326.1298km to micrometers.\nAnswer: 326129800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/38)\/(14\/(-21))*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 25*t**4\/8 - t**3\/2 + 7*t**2. What is the first derivative of l(j) wrt j?\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 217 or 211?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -187 + 984 + 21*c + 40*c + 62*c - c wrt c.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - (-6 + 0 + 2 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:25 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (29262782\/(-333))\/((-4)\/36) 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 {o: 4, f: 3, v: 6, h: 1, e: 2, k: 3}. What is prob of picking 1 f and 1 k?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 2*k + 0*k**2 + 0*k**3 - 1\/6*k**4 + 0. Let b(q) = -4*q. Determine b(w(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9\/2. Let x(k) be the second derivative of z*k**2 + 0 + 1\/6*k**3 - k. What is x(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/1413804 and 173\/2827608?\nAnswer: 2827608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w - 14 = -26*w. Let y be (14\/21)\/(w\/(-6)). Suppose -u + 6 = y. Calculate the highest common factor of 20 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341156094 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: Is -2314 at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10070572, -20141144, -30211716, -40282288, -50352860?\n\"Answer: -10070572*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1041 - -1041.5. Let j = 2 - -3. Let x = -24 - -23. What is the nearest to -0.2 in j, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(0 + 0 - r) + 4*r + r - 3*r + 2*r + 0*r - r - 7360 + 7360 - 5097*r - 2*r + 0*r + 3 - 5.\nAnswer: -5097*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 9*x**2 + 9*x + 8. Let d be t(-8). Let l be 1128\/94 - (15 - 2). Let z(j) = -j**3 + j**2 + j - 1. Let c be z(2). Sort -2, d, c, l.\nAnswer: c, -2, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-14)*(6\/(-4))\/((-351945)\/6930)?\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 3*j**4\/4 + j. Suppose 15 + 13 = 28*w. Give x(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)*n*n)\/n**(13\/5)*(n\/n**(1\/4))**(-13\/5))**(-4\/9) assuming n is positive.\nAnswer: n**(191\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -28575, 1\/5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxqgidg. Give prob of picking 1 x, 1 b, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17530*s**2 - 1333*s**4 + 762 - 7*s + 7*s - 17530*s**2 wrt s.\nAnswer: -5332*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4895*-0.3.\nAnswer: 1468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131214230 (base 5) to base 16.\nAnswer: 9e381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-42)\/28)\/(76\/(-24) + 3). Solve 0*x + 4*x + w = 5*c, -5*x - 2*c + 30 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379281310 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 452341, 452365, 452387, 452407, 452425, 452441, 452455?\n\"Answer: -y**2 + 27*y + 452315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 28, -5, -1 in ascending order.\nAnswer: -5, -1, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8\/3, 5, -17?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 5 - 0\/1. Let l(b) = 109*b - 38*b - 37*b - 33*b - 4. Give l(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a + 8, 3*a = -4*x + 18. What is the units digit of 1*8*(x + -1)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 836.21144 to 1 dp.\nAnswer: 836.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**5 - j**4 - 181760*j**2 + 480357*j.\nAnswer: 40*j**3 - 12*j**2 - 363520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -55c6 (base 15) in base 9?\nAnswer: -26846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378158 divided by -12.\nAnswer: 189079\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 54. What is the greatest common factor of w and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -22*k**3 + k**2 + k + 4. Let b be h(-6). Let w = 105261\/22 - b. Let c = -6077\/60 - -1077\/10. Calculate the common denominator of c and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 5*a - 9 = -3*q, -5*a + 3*q - 9 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3565, -7, -0.5, 3, 3\/4 in decreasing order.\nAnswer: 3565, 3, 3\/4, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -416 divided by -4\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4114 by -374.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**11\/l)*l)**(-7)\/(l\/(l*l**(-2\/5)))**(1\/20) assuming l is positive.\nAnswer: l**(2799\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/75 + (-74)\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28) - (2*sqrt(28) + sqrt(28)))*5 + sqrt(28) - (1 + 6*sqrt(343)))*-4 + 5)**2.\nAnswer: 4320*sqrt(7) + 403281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 153 + 135 = 0. Suppose 49 - s = -5*v. What is the third derivative of -4*r**6 - v*r**6 + 5*r**6 + 15*r**2 wrt r?\nAnswer: -2160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s + 4*p + 37355 = -48*s, -4*s + p = -49798. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/15)\/(j*j\/(j*j**(1\/15))) assuming j is positive.\nAnswer: j**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 3*g - 2*g)*(-6*g + 2*g + 2*g)*(-2288*g + 338*g - 226*g) to the form j*g + x*g**2 + q*g**3 + a and give q.\nAnswer: -8704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 17412\/(-792)) + (29\/145 - 82\/10).\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p + 4. Let y(d) = 2*d**2 - 297. Give y(o(g)).\nAnswer: 18*g**2 + 48*g - 265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4. Let u be 25 + (2 + -2 - y). Solve -4*d - k + 18 = -5, -k - u = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38511 is divided by 6416?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*5*-58*35\/(-8120)*2\/(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 637050*c**2 - 60225 wrt c.\nAnswer: 1274100*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 2*p + p)*(-29793*p - 861*p + 9276*p - 31854*p) as k*p**2 + w + a*p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-2 + 1 + -2). Let d be (-1 + -2 + 1)*y. Let z = -27.6 - -27.6. Which is the nearest to z? (a) d (b) 5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(171) + 0)**2 - sqrt(19)) + 0.\nAnswer: -sqrt(19) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1298948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4151 + (-8 + -3 - -13).\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2220020300 - -20?\nAnswer: 2220020320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 5. Let i = 52 - 14. What is the remainder when i is divided by 8\/(s + 14\/10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 5*o**2 + o + 5. Let q be n(-5). Is 17 a factor of q - 6\/((-30)\/575)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5825 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3527872 and 238131360?\nAnswer: 476262720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/15)\/(((-10)\/(-2))\/25).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 8*s - 4. Let w be n(-9). Suppose 2*d - 5*d + 3*p = -24, 0 = -4*d - 3*p + 11. What is the greatest common divisor of d and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((5 - 3) + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -7.88. Let y = 2.28 - w. Let q = 2 - y. Which is the third biggest value? (a) q (b) 0 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/4 + 36*r - 441\/4 = 0. What is r?\nAnswer: -147, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 5*d - 0*d - 3*g, -4*g - 71 = 5*d. Let k be 6*(-3)\/(d - -2). Suppose -3*o + 4*x = -x - 49, -4*o + 22 = k*x. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*p**2 - 116\/7*p - 118\/7.\nAnswer: 2*(p - 59)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 11*n**2 + 23*n + 0*n**3 - 5\/3*n**4 + 0. Differentiate b(v) with respect to v.\nAnswer: -40*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -233 - -232.99. Which is smaller: 0.022 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638178467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3093611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 1.267.\nAnswer: -0.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3 - 63 = 0. Let q(t) = -t + 16. Let i be q(s). Is i bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47376913 or -94753823\/2?\nAnswer: -47376913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*p + 11 = 0, -3*p = 3653*h - 3652*h + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 838*b + 825*b - 3300*b + 5 + 857*b + 849*b.\nAnswer: 69*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 23 = -3*s - s, 5*k + 1 = -2*s. Let d(o) = 10*o + 90. Let h be d(-5). Let f be 1\/(-2) + 3380\/h. What is the greatest common factor of s and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.26. Let b = 0.74 + g. Let u = b + -11.1. Round u to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j*j*j**(3\/23)*j)\/j*j*j*j)\/(j**12\/j))\/(((((j**(-3\/8)*j)\/j)\/j)\/j)\/(j*j\/(j*j*(j\/((j\/j**(13\/5))\/j))\/j*j))) assuming j is positive.\nAnswer: j**(-4687\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67935129 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 274905553*r**2 + 4278*r - 27782 wrt r.\nAnswer: 549811106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -70, 0.1, 4?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 3)*(1 - 1 - h + h**3).\nAnswer: -6*h**3 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11603864?\nAnswer: 2, 67, 21649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0 + 0*g - 27*g**2 - 1\/24*g**4 + 14\/3*g**3. Let y be p(24). Solve 4 = -4*t, 1 = 3*m + 4*t - y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - a4d538?\nAnswer: -a4d537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020756 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30972 divided by 12.\nAnswer: -2581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 12*p**2 - 5*p + 7. Let f be r(6). Let o = f - -19. Is 5528\/(-20)*10\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 3*m - 97. Let r be w(8). Sort 2, 3, r in ascending order.\nAnswer: r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2. Let h(d) = -1. Let a(l) = -4 + 2*l - 3*l + 10. Let n be -1 + (0 - (0 + -2)). Let g(m) = n*a(m) + 6*h(m). Give g(r(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122708143?\nAnswer: 751, 163393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -19. Suppose -4*l + 12*l = 112. Calculate the remainder when y is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1028 in 1, -2, 0, 3\/4, 1593\/5?\nAnswer: 1593\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3154*p**3 - p. Let l be x(1). Let j = l + 18871\/6. What is the common denominator of j and 19\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from vtgjvbjggtvbtj?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -12) + 1 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3808959, -3809242, -3809525, -3809808, -3810091?\nAnswer: -3810374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w. Let x(u) = 54*u + 7. Determine o(x(a)).\nAnswer: 648*a + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25601, 25602, 25603, 25604, 25605, 25606?\n\"Answer: z + 25600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 11) in base 4?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 67. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 less than 337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 68 = 4*u, -u = o + 2*u + 40. Let j be (-21)\/o + 13\/(-28). Let z = -10 - -11. Which is the closest to z? (a) 1\/8 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (sqrt(5) + -1 + 4)**2 + sqrt(60)\/sqrt(192)).\nAnswer: -108 - 75*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 447*k**2 - 27*k - 90. What is the units digit of x(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 + -5)*(-13296002)\/2. Let q = l + 7196002. What is q rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21674 (base 8) to base 9.\nAnswer: -13484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*s + 29, 5*s + 3*k + 17 = 87. What is the remainder when 1069 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)\/(9\/27). Let b(j) be the third derivative of -1\/2*j**3 - 5\/24*j**4 + 0*j + 2*j**2 - 1\/30*j**5 + 0. Calculate b(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -615862.\nAnswer: -4\/307931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 - 194.99853. Round t to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11647147 is divided by 1188?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 125079.3 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 703698 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15*(4\/3 + -1). Solve -5*c - 2*y = 19, -o = -c + 3*y - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = -5*h + 2*b, b - 50 = -2*h - 147. Let u(y) = -2*y**2 - y - 2. Let c be u(-3). Let w = c - h. Round w to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (756\/144)\/(((-9)\/6*1)\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1236, 1260, 1282, 1302, 1320, 1336?\n\"Answer: -j**2 + 27*j + 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - h - 1 = -4, -4*z = 3*h + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102858661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Suppose r = -5*h - 5 + 20. Let g be (29\/319)\/((-2)\/4). What is the nearest to g in -5, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-2*o + 2*o + 2*o + 1 - 1 - 6*o + (-9*o - 5*o + 3*o)*(4 - 5 + 3)) as i + l*o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32092.\nAnswer: 2, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 - 7 = 0. Suppose x - 6 = -14. Let l be (x\/(-16))\/((-3)\/(-6)). Put 5, l, m in increasing order.\nAnswer: l, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3809\/2 - 1905. What is the biggest value in 0, 5, c, 2\/29?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 - 10*j**2 + 18*j + 20. Let y be i(-9). Suppose 0 = -12*l + 493 + y. Calculate the highest common divisor of l and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u - 48*u + 35 = -14 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, u: 7}. What is prob of sequence ufuu?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0*p**4 - 1\/3*p**3 + 1\/2*p**2 + 0 + 1\/10*p**5 - 1\/30*p**6 + 2*p. Factor y(n).\nAnswer: -(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 53*x + 68*x - 18 + 4 + 1 + 6.\nAnswer: 15*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016422149 rounded to 7 decimal places?\nAnswer: 0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1266\/331 or 5?\nAnswer: 1266\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1524 and 972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6610 + 6610 + 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41456 divided by 4.\nAnswer: 10364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -31*d**2 - 32*d**2 + 42*d**2. Let w(z) be the second derivative of 5*z**4\/12 + 513*z. Calculate w(i(r)).\nAnswer: 2205*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120201020 + -210120?\nAnswer: 112220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 2*o - 2*o**2. Let l(d) = -56*d - 61*d + 120*d. Calculate h(l(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(539) + 4.\nAnswer: -14*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 9:02 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -75.938?\nAnswer: 76.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -2, 2\/69643, 24, 1\/5, 0.4 in increasing order.\nAnswer: -2, 2\/69643, 1\/5, 1\/3, 0.4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91345 = -165*m + 70355. What is the greatest common factor of 260 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -15783*c - 1183737. Determine l(-75).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 - 19.1. Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -364 - -365.98. Which is the closest to -0.1? (a) -3 (b) 1\/2 (c) p (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1219*y**2 + 3699*y - 3. Let b be a(3). Solve 109*g = b*g - 70 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 9 + 7*f + 6*f**2 + 2*f**2. Let b(o) = 9*o**2 + 7*o - 10. Let t(a) = -6*b(a) + 7*z(a). Differentiate t(r) with respect to r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132430 and 312970.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqqooqmolmqqmomo. What is prob of picking 3 m?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52287623.\nAnswer: 37, 1413179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let y = -23 - -23. Let c = 0 + y. What is the closest to p in 5, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 + 251*s + 2206. Calculate d(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412034288 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 12. Let f = 39 - 44.6. Let q = 4.1 + f. What is the closest to -0.1 in -4, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8665*p + 8674*p + 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399607 and 22243?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25080 and 1080.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2.6. Let p = -8 + 8.9. Let r = m - p. Put -1, r, -5 in descending order.\nAnswer: r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -4, 2, -2 in increasing order.\nAnswer: -4, -2, 0.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 3*x**2 - 4*x - 6. Let i = 15 - 19. Calculate f(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203148 a multiple of 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.053, -4, -110, 3, 0.3, -6?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39060 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.536 times -2727.67\nAnswer: 1462.03112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - b - 6*b - 5*b to the form n + k*b and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/9, 143698, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -943626 - 0.2\nAnswer: -943626.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (347*x**3 + 297*x**3 + 760*x**3)*(2*x + 3*x - 2*x) + (2 + 2*x**4 - 2)*(2 - 1 + 0) + (-x - 6*x + 5*x)*(-5*x + 2*x**3 + 5*x).\nAnswer: 4210*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4. Let t = 16.1 + -17. Let s = t - l. What is the nearest to -1 in s, 0.2, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 300 = -4*a. Calculate the smallest common multiple of 2 and a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/26)\/(51*5\/((-30)\/9)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.446138 less than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -71. Suppose 31*j + 8*j + 15210 = 0. Let d = 395 + j. What is the highest common factor of v and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*m, 0 = -8*r + 4*r + 2*m - 24. Let u be 1\/(-2)*(7 + r). Sort u, -4, 0.\nAnswer: -4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcbgp. Give prob of sequence pc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -405\/2, 0.2, -3, -0.5, 5 in descending order.\nAnswer: 5, 0.2, -0.5, -3, -405\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 - (4 + -13 + 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -5174.\nAnswer: -5173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208525410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 5*h**2 - 3*h + 4. Let t be z(-4). Solve -5*x + 4*r + 15 = 0, -5*r - 24 = -t*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1384059, -5536235, -12456531, -22144947, -34601483?\n\"Answer: -1384060*d**2 + 4*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*l + 20 = 0, 5*k - 4*l = 4*k + 20. Suppose k = j - 5*w - 14, -4 = -j + 2*w + 7. Solve 0 = -2*u + 1 + j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (1 + -2)) + 3. Suppose a - 29 = -3*g, 31 = g - 0*a - w*a. Suppose n - 6 = -0*k - k, k + 2*n - g = 0. Is 1 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + r + 3*r. Let t(o) = 2*o**3 - 7*o**2 - 12. Let m be t(4). Suppose -m*h = 4*y - h + 11, 2 = -2*h. Calculate c(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 3989044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = p - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3407\/6 - 555. Let k be 1 - 3\/396*1718. Let b = s + k. Calculate the common denominator of b and -8\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 7:12 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 14*g**3 - g**3 + (-3*g**3 - 4*g**3 + 4*g**3)*(4 - 3 + 22) + (-g + 3*g - 3*g)*(-g**2 - 3*g**2 + 3*g**2) as m*g + r + p*g**2 + y*g**3 and give y.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -1 (c) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 82. Suppose 36 = -49*q + x*q. Calculate the greatest common factor of 18 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) 174 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531, 973, 1439, 1935, 2467, 3041, 3663, 4339?\nAnswer: 5075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1536, -2880, -4130, -5286, -6348?\n\"Answer: 47*a**2 - 1485*a - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-1 + sqrt(612))*-5)*1 + (-2 + sqrt(1700) - (-3 + 2*sqrt(17)))*4)**2.\nAnswer: 28*sqrt(17) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 363*z**2 - 43*z - 62. Give v(0).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80758 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 10:44 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 192, 109, -50, -309, -692, -1223, -1926?\nAnswer: -2825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66076 is divided by 126?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 278*g**7\/21 + 619*g**3\/6 + 98*g + 2. What is the second derivative of o(n) wrt n?\nAnswer: 11120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j + 9. Let c(k) = 6*k + 9. Let h(v) = 4*b(v) - 5*c(v). Let u(g) = -g + 4. Calculate 4*h(x) + 9*u(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1944*t. Let h(p) = 114*p - 5. Let g(k) = -137*k + 6. Let o(l) = -5*g(l) - 6*h(l). Determine s(o(y)).\nAnswer: -1944*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 3*v**2 - 7*v + 1. Let l be o(5). Suppose 3*s + 3 = -0*t - 3*t, 20 = 4*t - 2*s. Solve -t*z = 2*h - 8, -4*h = -3*z - z - l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1722 < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8848 is divided by 1061.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.041 - 0.059. What is the nearest to m in 0.3, 4, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + g**3 - 2 + 1 in the form u*g**2 + s + q*g + t*g**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1761, 5982, 13017, 22866, 35529, 51006, 69297?\nAnswer: 90402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 - 121. Let d(s) be the first derivative of 0*s**4 - 1\/2*s**6 + 0*s - 1 + l*s**3 - 3\/2*s**2 + 0*s**5. What is the second derivative of d(u) wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23960629529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4640 and 742864.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93465.11ng in milligrams?\nAnswer: 0.09346511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121754*o**3 + 2*o**2 - 189*o + 15788143 with respect to o.\nAnswer: 365262*o**2 + 4*o - 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.006 and 6253081475.\nAnswer: 6253081475.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 20*w**3 - w + w**2 - w**2. Let j be o(-1). Suppose 0 = 4*z - 3*y - 0 + 1, -j = -2*z - 5*y. Is 1 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2 + 8. Suppose -3*r + x - 1 = 0. Suppose r*l = 8 + 127. Solve 0*b = -5*j - 4*b - l, 0 = 2*j + 3*b + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 1 + z + 0*z)*(1 + 1 - 3)*(1 - 3*z - 1) as n*z + i + h*z**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 5*t**4\/12 + t**3\/6 + t**2\/2 + 9*t. List the prime factors of q(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 9*v - 1. Let f be q(-9). Let d be 3\/((-18)\/30*f). Solve d*g - 1 - 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 18. Let t be p(-13). Suppose 5*u = -v + 52, 2*u - 5 = -t*v + 25. Put u, -2, 5 in descending order.\nAnswer: u, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 11*h**2 + 9*h + 34. Let a be q(12). Let p = -4 + 24. Calculate the common denominator of -79\/33 and 344\/(-840) - -4*a\/p.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at least -10405958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13417 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-75)*(-8300)\/(-9960)\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2174 divided by 2?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 81 - 151 = 0. Let l = 154 + -98. Let p = o - l. Solve -a = -2 - p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 42609.\nAnswer: 85218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r + 2. Let j(k) = 152*k - 96. Let i(y) = j(y) + 48*w(y). Let o(x) = -3*x. Give i(o(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022210222 + -2000?\nAnswer: -1022212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**9\/15120 + h**8\/8400 + h**7\/4200 - h**6\/1800 - 5*h**3\/3 - 1. Let t(n) be the third derivative of s(n). Factor t(x).\nAnswer: -x**2*(x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78269 - 78265. Suppose -14 - 18 = -2*k. Put k, -4, m in descending order.\nAnswer: k, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21894.759 months to decades.\nAnswer: 182.456325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + x - 1. Let t be f(-2). Suppose 12*i - 5*v + 44 = 11*i, 5*v - 48 = 2*i. Which is the fourth biggest value? (a) t (b) i (c) 0.3 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6 = 4*g. Let a(k) = -2*k**3 + 12*k**2 - 12*k + 4. Let b be a(4). What is the remainder when b\/6*-36*10\/(-100) is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21909, 5\/93, -2, 0.5 in descending order.\nAnswer: 0.5, 5\/93, -2, -21909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1033287 divided by 105\nAnswer: -344429\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2877, -2851, -2823, -2793, -2761, -2727?\nAnswer: -2691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.9287 - -24.521. Let r = b + -5.29354. Let o = r + -1.3. What is o rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22050.990521 - -22051. Round o to four dps.\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016519797 to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126093.\nAnswer: 3, 11, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3 = 3*b, -4*o + 992 = 4*b + 1012 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*m + 1. Suppose 2*w + 17 = 15. List the prime factors of 29 + -2 + m - w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -222?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f = 2*i - 27, 4*i + 4*f = 24. Calculate the remainder when 2 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4\/7 + 31936*r**3\/7 + 961248*r**2\/7 + 3461632*r\/7 + 3333824\/7 = 0 for r.\nAnswer: -26, -2, 8014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -8 - (9 + -4 + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -15 + 10 + (7 - -7) + 1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 4\/21 (c) 7 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(9\/4)*n**(-7\/4) assuming n is positive.\nAnswer: sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-14)\/(-147)*3\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*o + 28 = -3*c, 12 = -3*o. Suppose 3*h + w = 2292, 4*w + 3542 = c*h + 486. Is h\/(-8)*(-4)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/7 of a week?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 + 31 - -1 - -98)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {h: 11, k: 1, q: 8}.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 7:48 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + m = 0, m + 2*m = -5*z. Let o(c) be the first derivative of 0*c**3 - 1 + z*c**4 - 2\/5*c**5 + 0*c**2 + 2*c. What is the derivative of o(f) wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*l**5 - 52*l**2.\nAnswer: 4140*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43758722 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*z = -701, -6*k + 2*k + 4*z + 580 = 0. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-278304)\/(-56) + (-32)\/(-14) + -2. Suppose -m = 5*p + 1780. What is p rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000121618078 rounded to 7 dps?\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -2, -1, 10, 103 in descending order.\nAnswer: 103, 10, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 3, q: 1, e: 4, t: 4, p: 3}. What is prob of sequence tnq?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -m + v, -9*v + 5*v = 12. Factor 42*c - 8*c**2 - 3*c**2 + 8*c**m + 96.\nAnswer: -3*(c - 16)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31315 or -93944\/3?\nAnswer: -31315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318 less than 3327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13))**44\/(z**(-19)\/(z\/z**(-9)*z)) assuming z is positive.\nAnswer: z**(302\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1626, -1626, -1624, -1620, -1614?\n\"Answer: c**2 - 3*c - 1624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/5 + 17520626*x\/5 - 76743083857969\/5 = 0 for x.\nAnswer: 8760313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 divided by 398.\nAnswer: -127\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49.3635 and -30.57.\nAnswer: 18.7935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x**20\/x)\/x)\/x))**(6\/19))**(-6) assuming x is positive.\nAnswer: x**(576\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 192055733*g**2*y + 144910*g**2 - 2*g - 13 wrt y.\nAnswer: 192055733*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + ((-29 - -5) + 6 - 16).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99\/14 - 39\/7. Which is the third biggest value? (a) -0.05 (b) 0 (c) h (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1011 - 1009. Which is the second biggest value? (a) 3\/4 (b) 17 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:23 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3 + l + 5*l**2 + 9*l - 2*l**2 - 4*l. Let m(g) = -g**2 - g - 1. Let y(f) = 12*m(f) + 3*w(f). Solve y(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109599422 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -21*h**2 + 5*h + 4. Let y(z) = -5*z**2 + z + 1. Let m(p) = 2*j(p) - 9*y(p). Suppose 12*g - 10 = 17*g. Let u be m(g). Solve -4*n = -u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*m**3 - 5*m**3 + 6*m**3)*(m - m**2 - m).\nAnswer: -20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12532994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(68) + sqrt(68) + (-2 + sqrt(68) - sqrt(68)))**2 - 1*sqrt(1700))*4.\nAnswer: -104*sqrt(17) + 1106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**4\/8 + 2*j**2. Let l(o) = 3*o. What is l(u(z))?\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and 390 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 95 = 3*z, -16 + 71 = -5*d + z. Let k = -1 - 0. Which is the second biggest value? (a) d (b) 5\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -820 (base 14) in base 8?\nAnswer: -3074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times -22083?\nAnswer: 3091.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 8522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.981 - -0.081. Let j = z - -4.98. What is j rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:28 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/5 + 87002*c\/5 - 43502\/5.\nAnswer: 2*(c + 21751)*(2*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 404. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2. Let f be b(-2). Suppose 136 = -0*j + f*j. Calculate the remainder when (-20 - 1854\/(-90))*105 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 443123.9 to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f**3 - 164*f**2 - 73*f - 381. What is w(-27)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o**2 + 2*o - 2. Let w be f(3). Suppose -2*k - 2 + 0 = 0. Let t be 66\/(-12)*(k - 1). What is the greatest common factor of t and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 + 196 - (28 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {h: 4, e: 14}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**2 + 1 - 1)*(9*u**2 + 6 - 6) - 2*u**4 - u**4 + 4*u**4 to the form q*u**4 + m*u**3 + k*u + b + i*u**2 and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0 + 6. Let u = 17\/67 + 1171\/402. Is u greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 23*p**3 + 2*p - 2. Let f(r) = -86*r**3 - r**2 - 8*r + 8. Let x(u) = 4*f(u) + 15*o(u). Give x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - m**3)*(-2*m + 2*m + 2*m) + (10*m**2 + 2 - 2)*(25631 - 3*m + 5*m - 25633 + 6*m**2).\nAnswer: 58*m**4 + 20*m**3 - 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from laaaalaaalalaaalaaaa?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 33210 (b) 0.025 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1644 = x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*o - 6 = 115*o. Solve 3*v - 9 = 0, -o*y - 5*v + v = -21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 219, -183, -1195, -3099, -6177?\n\"Answer: -47*f**3 - 23*f**2 - 4*f + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (10\/12)\/5 + 193346\/335040 and 47\/150.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/184 and -139\/126019116.\nAnswer: 252038232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*q - 58*q = 811*q + 17928 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -132 + 71 + 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*g + 2*t, 5*t + 10 + 10 = 2*g. Suppose -4*y = -3*z - 9, -12 + g = -y - 4*z. Solve -y*p - 14 = 5*v, -2*v - 6 - 4 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5 - 6\/5*u + 2\/5*u**3 + 0*u**2 = 0 for u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*s + 93*s + 879*s + 858*s.\nAnswer: 2010*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*h - 4. Suppose h*m = m - f - 22, 56 = -3*m - f. Let c(d) = 10*d - 9. Let k(z) = -29*z + 26. Let b(a) = m*c(a) - 6*k(a). Calculate b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 756 by 105253.\nAnswer: 756\/105253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 104744 divided by 4?\nAnswer: 26186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + (-24)\/18. Let k(p) = -3*p**3 - 3*p + 5. Let a(r) = -r**3 + 1. Let c(s) = o*k(s) + 5*a(s). What is the second derivative of c(u) wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24326.\nAnswer: 2, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 816585986 to the power of 1\/3, to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14627 (base 11) in base 16?\nAnswer: -50f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 - -11.9. Let s = w + -9. Let q = -1\/20 - 17\/60. Sort s, q, 3 in ascending order.\nAnswer: q, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 16*z**2 + z + 32. Let c be v(-16). Suppose 0*d = -2*f - 2*d + 16, -c = -2*f - 4*d. Suppose -349 + 61 = -f*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2497 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -3)*-2*-6. Suppose -c*f = -4*f + 4464. List the prime factors of 33\/(-44) + f\/(-8).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45420620 or -45420619?\nAnswer: -45420619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 35*p**2 + 5*p**4 - 39*p**2 in the form q*p**4 + l*p**3 + f + k*p**2 + y*p and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (584 + 59*b**3 - 584)*(1407*b - 128*b**2 - 1407*b) - b**5 + 4*b**5 - 2*b**5 + 0*b - 2*b**5 + 0*b.\nAnswer: -7553*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -708.23 - -708.2299959263. What is o rounded to 7 dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1563 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-30)*(-10)\/(-8). Let x = 2 + 5. Let d = x + -3. What is the second smallest value in 0, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7104 and 4736.\nAnswer: 14208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 121*z**3 + 5*z**2 - 24. Let i(x) = -4. Calculate -a(q) + 6*i(q).\nAnswer: -121*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 10:10 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let k(i) be the third derivative of 0 - 3\/8*i**4 - 3*i + 2*i**2 + 0*i**3. Determine k(p(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 11*z = 3*w - 8*z + 8 - 0, -z - 4 = -21*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 153. Let a be 1584\/d - (0 + (-4)\/14). Is ((-4786)\/(-20) + (-2)\/a)*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1868*c + 1865*c = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -26\/867 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)\/f**(-1)*(f**(-3\/4)\/f)\/f*f*f**(-1\/3) assuming f is positive.\nAnswer: f**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*b = 30, c + b - 31 = -21. Suppose c*g + 4496 = 38301. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -87*w - 112. Let c(t) = -29*t - 38. Let y(f) = 8*c(f) - 3*z(f). Is y(11) a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y + 2*y + 29790 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -24*u**3 - 2*u**2 + 3*u - 2. Let b be y(2). Suppose 10*m - 15*m = -2*p - 1679, 5*p - m = -4140. Let a = b - p. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Let i(f) = 22*f - 14. Let n be i(w). Let k = n + -43. What is the greatest common divisor of 54 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 13*n - 15*n. Let r = n + 66. Let x(p) = -p - 3 - 8 + r. What is x(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4\/4 - 5*b**3\/3 + 7*b**2\/2 - 8*b - 67. Calculate the remainder when 8 is divided by q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3184111 is divided by 265341.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1963120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.062086285.\nAnswer: 0.186258855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 4. Let o be u(-4). Let w = -1 - o. Let j(c) = -5*c**3 + 3*c**w - 3*c**2 + 2*c**2 + c. Give j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxmmmmmxmmoxommmom. What is prob of sequence omx?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*k - 592 = 151*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5403 is divided by 41.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47978 is divided by 11993?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1538 + -489. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 7*o**2 - 9*o + 3. Suppose 6*f - 7*f = -6. Determine s(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 23 = -2*d, 0 = 5*u - 3*d - 33361 + 33348 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 738, 949, 1306, 1815, 2482, 3313?\n\"Answer: p**3 + 67*p**2 + 3*p + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 220524 (base 6) to base 3\nAnswer: 221011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*v - 3 = 0, 0 = -2*m + 5*v - 4 + 25. Suppose 44 = q + m*q. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 127*y + 124. Let q be v(-1). Which is the third smallest value? (a) -1.1 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252)*-2)\/sqrt(6) + sqrt(378)\/(sqrt(9)*1))*6)\/((sqrt(24)*1*2)\/(sqrt(28)\/(sqrt(7)*1))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*l - 34. What is the units digit of 2\/(-2) + (137 + 0)*l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p + 2. Suppose -10 = y + 4*t, 0 = -2*y + 3*y - 4*t - 14. Let z be d(y). What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = 3*l, -l + 5 - 4 = 2*f. Solve f*i - a = -3*i - 7, 0 = -i - 2*a - 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 41 - 36 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4688.804 + -4657. Let j = p + 0.196. What is the third smallest value in -3, j, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**8)**(-1\/9)\/(((n*n**(-5))\/(n**(2\/7)*n))\/((n\/n**6)\/n*n*n**2*n)) assuming n is positive.\nAnswer: n**(223\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2. Let k(v) = 2*v**2 - 17*v + 17*v. Calculate n(k(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*d = -80*d + 35. Let b(o) be the second derivative of -43\/48*o**4 + 5\/8*o**3 - 1\/4*o**2 + 29\/40*o**5 - 3\/10*o**6 + 0 - 4*o + 1\/21*o**d. Factor b(c).\nAnswer: (c - 2)*(c - 1)*(2*c - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*x - 52, 2*t + 4 = -4*x + 76. Suppose -3*y = 5*z - y - 157, -3*z + 4*y + 89 = 0. Let w = z - x. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/4*-13 + 2. Suppose 5*y = k + 220. What is the remainder when y is divided by ((-2)\/(-5))\/(1\/30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((4 - 4) + 4 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 14146413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*a + 5*x, 5*a = -0*a - 4*x + 22. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.11 - -0.23. Let u = b + -0.1201. Round u to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/5)\/(((-256)\/(-60))\/(-8)). Sort -0.4, s, -1\/3 in ascending order.\nAnswer: s, -0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1350*x**3 + 558.\nAnswer: -4050*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78456 is divided by 1859.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30 + 13 + 0*g**5 - 2*g**4 + 0*g**4 + 8*g**2 - 133*g**5 wrt g.\nAnswer: -7980*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -8, -1.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) + 13\/3. Let a = -2 + 5. Sort w, a, -3.\nAnswer: -3, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1010405013 - -11?\nAnswer: 1010405024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1. Let u(c) be the second derivative of c**5\/20 + 3*c**4\/4 + 9*c**3\/2 + 14*c**2 + 4*c. Let i(r) = -3*g(r) + 3*u(r). Determine b so that i(b) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894504 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q**3 - 17*q**2 + 3*q - 23. Let l(g) = 3*g**3 + 6*g**2 - g + 8. Give -6*c(m) - 17*l(m).\nAnswer: 9*m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13631 - -23187. Suppose 4*s = -2*o - i, 3*o - 2*o + 2387 = -s. Is (s\/(-6))\/((-6)\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6935 and -0.28.\nAnswer: 6934.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.053 from -11.7.\nAnswer: -11.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35522, -35520, -35526, -35540, -35562, -35592, -35630?\n\"Answer: -4*u**2 + 14*u - 35532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 73?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 1. Let h be m(-1). Let y = -3.44 + 0.84. Let z = 7.6 + y. Which is the third smallest value? (a) z (b) h (c) 4\/5 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(-26))**49 assuming k is positive.\nAnswer: k**1274","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21751, 43499, 65247, 86995?\n\"Answer: 21748*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 886236 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 9:35 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 2580 = -12*l. List the prime factors of l.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 2*m**2 + 4*m + 1. Let s be z(4). Let y = -89 + 128. Let r = y + s. What is the remainder when r is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwk when three letters picked without replacement from {k: 9, m: 4, w: 4, d: 2}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - 1.8. Which is the third biggest value? (a) 2\/7 (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159328 by -3264.\nAnswer: -4979\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/13)\/(w*((w*w\/(w**(8\/9)\/w)*w)\/w)\/w*w)*((w*w**(10\/7))\/w)**(-7\/12))**(-6\/17) assuming w is positive.\nAnswer: w**(941\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + g**2 - 8*g - 2. Let x be o(-3). Suppose -7 = x*m - 15. Suppose 19 = m*n + 121. What is n rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001001020 (base 3) to base 7\nAnswer: -113415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 128122.06 and -20?\nAnswer: -2562441.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*5\/(-10)*36\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - y - 3. Let a = -27 - -27. What is r(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*d**5 - 4*d**3 + 2*d**2 + 15*d?\nAnswer: -1380*d**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - sqrt(156)*-1)\/sqrt(3))\/((sqrt(144)*-1 - sqrt(144)) + sqrt(144)))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -45 - -1026482\nAnswer: 1026437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/7 - 45628*t**2\/7 - 821596*t\/7 - 1460672\/7.\nAnswer: (t - 45646)*(t + 2)*(t + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from jwwjwzwwjmzwzzjzmw?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12391 = 5*x - v, 4*v + 6182 = -x. Let q = x - -12199. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5564842.\nAnswer: 2, 2782421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/18, -103 in decreasing order.\nAnswer: 1\/18, -1, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 16*j + 1. Determine x(-6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/7)*y\/y**6)\/(y**(1\/4)*y*y**(1\/3)))\/(y*y*y**(-6)*y*y*y*y**(-4))**37 assuming y is positive.\nAnswer: y**(14939\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -88*(2 + 0 + -1). Suppose w - 599 = -5*n, -4*n + 9*w = 12*w - 488. Let m = n + u. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 12:52 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4\/5, 0.0336, 0.05, 597, -3?\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -117 in -12, -2, 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-36)\/104) - 1\/(-3). What is the highest common factor of l and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 - -10.3. Let z = 0.439353896 - 12.839358256. Let r = b + z. Round r to seven decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.203999023 to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37736 and 4272.\nAnswer: 226416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50 - 11*h**3 - 3*h**3 - 3*h**3 wrt h?\nAnswer: -51*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 3\/5, 2\/23, 7.0231, -78?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*v + 32 = 24, 0 = -4*v + 12. Which is the closest to y? (a) 18 (b) 3 (c) -2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83811123.\nAnswer: 3, 11, 846577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3573 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 * 332862.\nAnswer: -24964650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -30\/50411 (b) 2\/3 (c) 3 (d) 1 (e) -3 (f) 2\/11 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 11*i - 5. Let l be b(8). Let z = l - 4. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/36 - (-234)\/8. Let o be (a + 0\/(-2))*1. Is o + 5 - (-1 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = d - 54. Is 12 a factor of d - -2*3\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.319*-4.62\nAnswer: -1.47378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = t + 3 - 7, -4 = -t + m. Suppose -3*g + 5*o = -8*g + 70, -5*o = t*g - 61. Let n(l) = 3*l**2 + 7*l - 5. Is n(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nznzzzzzznnnzzzz. Give prob of sequence nzn.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(21\/(-2)))\/(77\/(-33)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * 0.32\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 11*g**8\/24 + g**4\/4 - 205*g**2. What is the second derivative of l(c) wrt c?\nAnswer: 3080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t. Let g be f(2). Is 9 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -50, -90, -136, -188?\n\"Answer: -3*b**2 - 25*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3 + 7. Let k = 21 - 19. Which is the closest to -4\/7? (a) k (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - 7*x**3 - 7*x**3 - 2*x in the form f + y*x + b*x**2 + h*x**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1318991382 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2308542 divided by 1?\nAnswer: 2308542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4*(-2)\/8). Let x be 5\/(-1) + 4 + b. Let y(p) = 15*p**2 + 9*p - 4. Let c(l) = 8*l**2 + 5*l - 2. Let a(n) = -7*c(n) + 4*y(n). Give a(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Solve 0 = 2*d - 2*i - i + 7, r = -4*i + 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1116, -2332, -4390, -7296, -11056?\n\"Answer: -n**3 - 415*n**2 + 36*n - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2597 - 10385\/4. Which is the second biggest value? (a) h (b) -14 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-80) + 0 - 2002\/5180)*-4\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:05 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -52*l - 233. What is the hundreds digit of n(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148863733.\nAnswer: 1193, 124781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s + 2*s**2 + 2*s - 2 + s. Let o(b) = 3*b + 7. Let d be o(-6). Let j(v) = -v**3 + 11*v**2 - 16*v - 11. Let t = 13 + -11. Give d*k(z) + t*j(z).\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3\/2, 1, 103\/42, -23\/2?\nAnswer: 103\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -5*x + 34. Let g = 32 + x. Sort -1, g, -3 in ascending order.\nAnswer: -3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 16*s. Let c(u) be the first derivative of -u**3\/6 + 9*u - 8. Let q(v) be the first derivative of c(v). Give q(t(y)).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27100014 a multiple of 397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3144319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-5\/6)*m)\/m*m)**5)**35 assuming m is positive.\nAnswer: m**(1225\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1063540 (base 7) to base 6.\nAnswer: 2505221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(19) + (sqrt(19) - (sqrt(19) + -1)) - sqrt(19)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 15 = -236 + 44 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.908379 to three decimal places.\nAnswer: -0.908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37, -161, -321, -475, -581, -597?\n\"Answer: 7*w**3 - 60*w**2 + 7*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41, -88, -135, -182, -229?\n\"Answer: -47*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11*c**3 - c**2. Is q(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 15604.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.5869567 to two dps.\nAnswer: -5.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 444431 by -25.\nAnswer: -444431\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxkjkkkqjx. Give prob of sequence kjx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -4, 0, 75, -19 in decreasing order.\nAnswer: 75, 1, 0, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54257, 54256, 54255, 54254, 54253, 54252?\nAnswer: 54251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/100 + (-21)\/(-175)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4\/4 - 230299*f**3\/4 - 422231*f**2\/2 - 153541*f + 76770 = 0.\nAnswer: -2, 1\/3, 76770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -22*1*((-1989)\/18 + 9)?\nAnswer: 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 91.25\nAnswer: 273.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1300, 1295, 1290, 1285?\n\"Answer: -5*w + 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/90)\/(((-6)\/15)\/(-2))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31209 and -3?\nAnswer: 31212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*2*sqrt(153) + 2 - ((sqrt(153) - (2*sqrt(153) + sqrt(153) + 1 - sqrt(153))) + sqrt(153) + -3*sqrt(153)*-3))*1)**2.\nAnswer: 270*sqrt(17) + 34434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*y + 5 = 0, -74*y + 78*y = 14*j + 32 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86161\/21 + 32\/336 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 54 - 94 = 0. Suppose -25 = 6*j - v. What is the hundreds digit of 276\/(7 + j + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-462)\/1771 + (-7362)\/(-1242).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from akafuuquffff?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.2. Which is the closest to 1? (a) -2\/27 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 1 - 2 = -m, -c - 2*m - 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*s + 19, -s + 22 - 4 = 4*m. What is the closest to -0.1 in 3, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 12. Let s be a(3). Suppose -71 = -r - s. Let d = r + -61. Solve -5*b + 2 + 9 = -3*v, 4 = d*v - 2*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -475573*l**3*o*t + 5*l**3 - 195*l**2*o*t + 532512*l**2*t wrt o.\nAnswer: -475573*l**3*t - 195*l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 2. Let j(c) = -5*c + 2. Determine -3*j(h) - 4*t(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 2. Let j(b) = 60*b - 63. Let y(z) = -j(z) + 4*v(z). What is the first derivative of y(m) wrt m?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33721*g**3 - 19286*g**2 wrt g.\nAnswer: 202326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 - 4*a + 4*a + 4*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 61490 and 61490 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 121, 4\/3, 3728 in increasing order.\nAnswer: -1\/2, 4\/3, 121, 3728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z + 7. Let x(l) = -l + 1. Let c = -10 - -9. Give c*w(j) + 6*x(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/72 and 73\/462.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57.97 - 47.97. Which is the closest to 0.9? (a) -4 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -7*w**6\/135 + w**5\/3 - 4*w**4\/27 + 2*w - 35. Let j(l) be the first derivative of q(l). Let j(m) = 0. Calculate m.\nAnswer: 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -15*a**2\/2 - 17*a - 8 = 0.\nAnswer: -8\/5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1654297.\nAnswer: 67, 24691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3456 and 1932276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 58 - 29 = -11*u, 9 = -9*h + 3*h - 5*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*u**3\/7 + 1199*u**2\/7 + 82870*u - 18424 = 0. What is u?\nAnswer: -196, 2\/9, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 65. What is the smallest common multiple of 9 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7183 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3621 and 408.\nAnswer: 28968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.97 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/33 and 107\/240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001203106 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v + 8. Let h(f) = v*f + 3*f - 3*f - 4*f. Let a(p) = -4*p. Let n(m) = -50*m - 2. Let u(y) = -12*a(y) + n(y). Give -3*h(o) - u(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:25 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -262 smaller than -5519\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67043 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c = -m - 760, -87*m - 307 = -5*c - 89*m for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 1 - 2 + 1 - 1 + (4 - 1 - 1)*(-2 - 1 + 4))*(-155*u**3 - 1947*u**3 - 298*u**3) to y*u**3 + m*u + o + s*u**2 and give y.\nAnswer: -7200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 - 160*s + 618. Calculate o(-71).\nAnswer: -3145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056068 to six decimal places.\nAnswer: 0.000561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-760)\/48 - -2) - (30 + -44)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 - 0.1. What is the closest to 0 in o, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4205650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*56\/130872*41.\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1617 + 1767. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -5 (c) 103 (d) -119 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84533.\nAnswer: 84533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**3 - 4*u**2 - 27. Let v(g) = -g**3 - g**2. Suppose 3*b + 2*l = 20, 3*l - 32 = -26*b + 21*b. Determine b*v(d) - s(d).\nAnswer: 2*d**3 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + 147. Calculate the highest common factor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1647399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/22*-4 - 665856\/99. Let o = p + 9545. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -109*z**3 - 10*z. Let o be v(3). Let i = o - -4458. List the prime factors of i.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2.5, -0.6, 4?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*x = 82, v - 32 = 5*x + 2. Let p be (2 - -574)*(-6)\/(-9). Suppose 12*i - p = 10*i. Calculate the highest common factor of i and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.536 rounded to 0 dps?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*t = 2*t + 8, -4*t = 2*i - 20. Suppose i*j + 0 = -q - 1, 0 = -4*j + 4*q - 8. What is the hundreds digit of 441\/4 + j\/4 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (3 + 30\/(-12))*-2*-3016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 9 = -4*m - 7, -3*d = 2*m + 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c039 - 0?\nAnswer: 9c039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*36\/96)\/((-49)\/42)*147\/252?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 3*h - 9. What is the remainder when p(7) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eryw when four letters picked without replacement from {s: 1, e: 2, y: 1, r: 1, g: 1, w: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1319 - -1342. Let w(p) = 4*p - 122. Give w(v).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from oooddoo.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2*(2*sqrt(816))\/(sqrt(12)*-4))**2 + -5) + -1)*6.\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**4\/8 + 4*o**3\/3 - 3*o**2. Let z be n(3). Let i(s) = -17*s + 2. Is i(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 1. Let n(q) = q**3 - 10*q**2 - 10*q - 6. Let j be n(i). Solve m + 3*g + 25 = -2*g, j*g = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237748 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - x + 0)*(1 - 2 - 3 + 16 - 34 - 30 + (4 - 1 - 2)*(-3 + 0 - 2)) as p*x + g and give p.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 6*n + 1. Suppose 6*k - 10 = 14. Suppose -2*h + 2*l = -3*h + 13, -k*l = 5*h - 35. Suppose -3*p + 36 = h*p. Calculate y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 41155710\nAnswer: 1\/8231142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7422*f + 22259*f - 7418*f - 7424*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f - 121*f + 48*f to a*f + t and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z + 4*f + 58 = 0, -3*z - 4*f = -98. Let s(i) = 2*i**3 - 42*i**2 - 40*i + 17. Is s(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 10*c**2 - 6*c + 30. Let g be x(-9). Suppose y + 3*n - 35 = 0, -y + g*n = 2*n - 31. Solve -5*t - 12 + y = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41308 by -449.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m - 1, -16 = -2*l - 3*m. Suppose 12 = -3*z, 4*o + 2*z = 2*o. Suppose o*a = l*a - 5. Calculate the remainder when a is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107\/51 + 30\/17. What is the closest to s in 3\/7, -3, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -87*m**2 + 2*m. Let v(j) be the first derivative of 0*j**2 + 0*j + 1\/3*j**3 + 186. Determine v(n(u)).\nAnswer: 7569*u**4 - 348*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven halves of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73852 and 296.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 2, f: 2, q: 4}. Give prob of picking 1 q and 1 r.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 1)*(-i - i + 3*i)*(-3*i - i + 6*i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4 - 8. Find the second derivative of 4*p**2 - 8*p + 8*p**4 - 4*p**h + 17*p wrt p.\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-3 - (6 + 1)) + (-10 - -53))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1355 - 1245. Let t(x) = x**3 + 8*x**2 + 9*x + 4. Let b be t(-6). What is the greatest common factor of l and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 934619 and -11.8.\nAnswer: -11028504.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -137, -141, -147, -155, -165?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 - 5*w**4\/24 + w**3\/6 + 3*w**2. Let z be q(4). Let k(d) = 143 + 2*d - 67 - 77. What is k(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*r**5 - 83*r**6 + 44*r**2 + 22*r**5 + 2*r**5 wrt r.\nAnswer: -9960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 + 42 = -16*p. Suppose p*z - 56099 = -a, -z + 4*a = a - 18713. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(112\/16 - 4). Solve z = 3*t - 3*q + 6, -5*q + q = 5*t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*f - 44461 + 44084. Let r(i) = -i**2 - 5*i + 97. What is r(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + -1*sqrt(612) + sqrt(136)\/sqrt(8)*-3.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2c2836 (base 13) to base 5\nAnswer: -234403414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 8:09 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 260\/70 - (-2)\/7. Suppose 0*z = -w*z. Solve -2*d + 0*i = i - 1, 2*d + 2*i = z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39849\/10 - -3981. Calculate the common denominator of -68\/9 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92477000 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350\/(-30)*9\/(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -92, 0.2, -6\/11, -13\/4, 0.3, 96, -2\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 9*b = 45. Let w = b - -31. Suppose -w = -9*j + 7*j. Calculate the remainder when 61 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2095 and 2933?\nAnswer: 14665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 2*l - 1. Let g(p) = 90*p**2 + 6*p - 3. Determine -g(x) + 3*h(x).\nAnswer: -87*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34670 and 4?\nAnswer: 69340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**7\/70 + j**6\/15 - j**4\/12 + j**3\/2 - 95*j**2. Find the second derivative of m(r) wrt r.\nAnswer: 36*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - s + 12 = 1, -10 = 5*w - 5*s. Which is greater: 18 or w?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -776086 + -a2?\nAnswer: -776178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - l - 1. Let s be d(-2). Let a = s + 25. What is the remainder when 22 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2944 + 2944 + 92*m**2)*(m + 3*m + 3*m).\nAnswer: 644*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 778, -79, -15 in decreasing order.\nAnswer: 778, -15, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h + 1. Let a be s(2). Let d be 2146302\/4 + a\/(-10). Suppose -5*i + 3036577 - d = 0. What is i rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -0*g - 1272. Suppose 0 = 4*h - 8*h + g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 1\/20*r**5 + 20*r + 0 - 1\/3*r**4 + 0*r**2 - 5\/6*r**3. Factor x(u).\nAnswer: u*(u - 5)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2052297 by 9.\nAnswer: 228033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let q(i) = d - 3*i**2 - 3*i**2 - 8*i**3 - 7. Let w(b) = -9*b**3 - 7*b**2 - 7. Let j be (6 + -3)*7\/3. What is j*q(y) - 6*w(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r**2 + 288*r - 26. Is 24 a factor of a(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21406 - -21411. What is the second biggest value in -1\/3, t, -0.1, -4\/7, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/30*(-1)\/(-28)*-4. Let t be (2\/(-3) + 1)\/(-1). What is the nearest to t in -4, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -4*g - 77. Let h = -7 + g. Suppose 0 = 2*l - r - 1, 3*l + r + h*r + 5 = 0. Solve -3*a - 9 = -l*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83\/12 - 373\/52. Suppose 0 = 5*c + 5*k - 6*k - 64, 4*c + k = 44. Let f be -18 + c + 12\/2. Which is greater: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -224\/5 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*a - 2, -1 = -3*q + 2*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7 = -2*s, -4*s + 8 = -5*i - 33. Let r(g) = 7*g + 42. Is 3 a factor of r(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 5\/((-5)\/(-6)). Let u be (105\/(-10))\/(-7)*2. Which is the biggest value? (a) -0.4 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100101101000001011 (base 2) to base 7\nAnswer: -3352415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 9:48 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 140481553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2)\/((-22)\/(-44)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - 2*f - f)*(7 - 4 + 6).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 121100 (base 3) to base 16\nAnswer: 1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/8 and -55\/118?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 3, b: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -2\/33 (b) -6 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7284737 less than 3?\nAnswer: 7284740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-360)\/(-144)*6\/(-5). Sort 0, m, 4, 3 in descending order.\nAnswer: 4, 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*t + 30, 4*t + 3*i + 0*i - 56 = 0. Suppose -t = -l - g, -2*l + l = 5*g - 5. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77026.75t in nanograms?\nAnswer: 77026750000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 37*k**3\/3 - k**2\/2 + 85*k + 83. Differentiate x(b) wrt b.\nAnswer: 74*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 70 + 22 = 0. Let i = 7 + 1. What is the remainder when m is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 106. Let g = -29 + v. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.071 + -0.929. Which is the closest to -1? (a) p (b) -2\/15 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (10 + -3)) + 19 - (39 + -40)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 7*k**2 - 7*k + 4. Let n be y(5). Let c = 7 - -29. Suppose o = c + n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**8\/560 + 13*n**4\/24 - 11*n**3\/3 - 16. Let p(w) be the third derivative of l(w). Differentiate p(v) wrt v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502912 is divided by 7082.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -403074 by 6398.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13a1319a + -5?\nAnswer: 13a13195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-10659)*22)\/(((-4)\/3)\/4).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -25*u + 128\/3*u**2 - 16\/9*u**3 + 0 + 1\/36*u**4. Factor c(a).\nAnswer: (a - 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*24*6\/(-28). Suppose -3*c - 4*m + 0*m = -32, -4*m + t = 4*c. Solve 0 = 2*k - 5*l + 13, -c*k = 5*l - 20 + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 0*v**2 + 4*v**2 - 2*v**2 + v**2 to i*v + n*v**2 + g and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6816 and 67308.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -3.033.\nAnswer: -5.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17\/60 - -1\/20. Let t(w) be the first derivative of 0*w + 0*w**2 - n*w**6 + 0*w**3 - 1\/4*w**4 + 3 - 3\/5*w**5. Find h such that t(h) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-5\/11))**(-1\/6)*(z\/(z\/z**(10\/11)))**(-1\/27) assuming z is positive.\nAnswer: z**(-263\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 58. Let s be (-1 - h) + -4 - 24. Let a be ((-2)\/((-12)\/s) + 3)*-10. Solve -b + 6*b = -a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24825*k**2 + 207323*k**2 - 694*k**2.\nAnswer: 181804*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301*-1.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-12)*o**4*(o**0*o)**46 assuming o is positive.\nAnswer: o**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 809.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-391 - -380) + (-3 - 0 - -2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(540) - sqrt(540))*5)\/(-6*2*(sqrt(320)*-2 - sqrt(5))).\nAnswer: 5*sqrt(3)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**2*o))\/(o\/o**(5\/2)))\/(o**1)**(2\/5) assuming o is positive.\nAnswer: o**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 + -20*66\/(-88) is divided by -2 - (-1 - 0) - -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 8*o**2 + 39*o + 54. Let a be g(-11). Calculate the least common multiple of 202 and ((-160)\/a)\/2*(1 + 2).\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 + 941*f**2 + 1489*f + 38511. Determine d(-469).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1919 and 99256?\nAnswer: 10024856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 17*g**2 - 29*g - 13. Let q be w(15). Suppose -q*f - a = -349, f - 3*f - 5*a + 345 = 0. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1038 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6135790, 12271577, 18407364, 24543151, 30678938, 36814725?\nAnswer: 42950512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 835?\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**8\/1440 + s**6\/40 + 4*s**5\/15 - s**2. Let n(f) be the third derivative of b(f). What is the derivative of n(d) wrt d?\nAnswer: 28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9508*g - 9038. Give y(-1).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 574 (b) 35 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j - 619 = 41. Let b = 42 - -118. Calculate the highest common divisor of b and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2281\/3668 + 30\/131. What is the common denominator of -74\/35 and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from xxkxaxxahxaxxxx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/7*(-658)\/2068?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -118, -185, -256?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1421*r = 2854*r - 376638 + 192813 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -35. Let q be (44\/w)\/2 - 4. Which is the third smallest value? (a) 4 (b) q (c) -5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 2448 = 26*o. Let r = o + 148. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25080 and 16368?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 374, 5 in increasing order.\nAnswer: 2\/9, 5, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.007, 4, -1, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*q = 0, -4*n - 3*q - q = 0. Suppose b - 3*s + 9 = n, 6 = 2*b - 0*s + 2*s. Solve 3*v + 4 - 1 = b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/48*(423\/(-132) + 3).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.126?\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3935 is divided by 163.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5259, -10685, -16269, -22011, -27911, -33969?\nAnswer: -40185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3 - 89173*b**2 - 535065*b - 802611 = 0?\nAnswer: -3, 89179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -987.1 take away 2?\nAnswer: -989.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331211590.\nAnswer: 2, 5, 33121159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:04 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65835665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/6147 + 11972\/989667. Is b bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*h + 252*h - 16 = 4*d, 0 = 4*h + d + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5 + s + 3*s + 0. Let t(q) = q + 2. Let d be 44\/20 - 4\/20. Let x(a) = d*i(a) - 7*t(a). Give x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 + -206?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 + 52*b + 591. Give m(-10).\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 3. What is d(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8324295151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27807449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a**6 - 16*a**4*n**2*p - 7*a**3*p - 3*a**2*n*p + 4*a**2*n - 2*a*n**2 + p wrt a.\nAnswer: 600*a**3 - 384*a*n**2*p - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4382298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.4210742 rounded to three decimal places?\nAnswer: -200.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*y**4 - 14036*y**3 - 11700*y**2 + 2772*y = 0. What is y?\nAnswer: -1, 0, 21\/109, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 4) + (-1880)\/(-8). Suppose 0 = -3*f + o - 1. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(105\/(-105)). Which is the closest to v? (a) -0.053 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1241*t - 116 = -1183*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 3, u: 2, e: 6}. What is prob of sequence ene?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9371334 is divided by 312?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 27.1 (b) 1\/11 (c) -0.5 (d) -5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 plus -6964422?\nAnswer: -6964385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505213331 (base 6) to base 11.\nAnswer: 4978122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = 4*p. Let x(n) = -9*n - 2. Is x(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166436704?\nAnswer: 2, 7, 349, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**3 + 3*x - 1. Let d(h) = 11*h**3 - 5*h + 1. What is -3*d(f) - 5*m(f)?\nAnswer: -3*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.055348 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 812 - 832 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43204 + 42578. Is i bigger than -633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*((sqrt(490) - (-2*sqrt(490) + sqrt(490)) - sqrt(490)) + sqrt(490))\/(sqrt(245)*-1) + 5.\nAnswer: -8*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1163 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 207388559\nAnswer: -3\/207388559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.7 + -6. Let u = 0.4 + s. Let w = 0.5 - u. What is the third biggest value in w, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 555*h**2 - 3*h. Let r(y) = -2*y + 2. Give r(w(t)).\nAnswer: -1110*t**2 + 6*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**29*a\/(a\/(a*a**(1\/19))))\/((a\/(a*a*(((a*a**(1\/4))\/a*a)\/a)\/a))\/(a**41\/a)) assuming a is positive.\nAnswer: a**(5419\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*f - 1831 = 0, 579*m - f = 575*m + 2435. What is the remainder when m is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*c**4 + 0 + 3\/2*c - 3\/2*c**3 - 3\/4*c**2.\nAnswer: 3*c*(c - 2)*(c - 1)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(132)\/(-1*sqrt(12))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1848 = 9*z - 5*z. Let m = z + -460. Solve -4*b = -m*w - 1 - 17, 3*w - 4*b = -23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*j - 3 - 27*j + 1)*(2*j + 2*j - 3*j)*(-3 + 1 + 0) in the form z*j**2 + n + m*j and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3 - 33*a**2 + 57*a**2 + 6*a**3 + 4*a**3 - 17 - 4*a. Let b(k) = -2*k**3 - 5*k**2 + k + 3. What is 14*b(q) + 3*f(q)?\nAnswer: 2*q**3 + 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/10 and 1 - 2 - 12\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/71 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1.3. Let d = l - 1.3. Let k = -30.9 - -31. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880417776.\nAnswer: 2, 3, 7, 43, 60937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185113 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63033?\nAnswer: 3, 21011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -2*m - 11, 9*d + 5*m + 20 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 37*q**3 - 35*q**3 + 63*q**3 - 8*q**2 to s*q**2 + l*q**3 + u + x*q and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + (-72 - (-23 - 33))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/(((-12)\/9)\/(-4))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3 + 3 - 28 - 24*q - 12. Let i be m(-5). Which is bigger: i or 78?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12937*1.9\nAnswer: -24580.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-189)*((-637)\/(-1794))\/7?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(2*sqrt(6)) + 2 + sqrt(10)\/sqrt(2) + sqrt(30)\/(sqrt(72)\/(1*sqrt(12))) - (-4 + (2 + sqrt(5) + -1)*-1)*1.\nAnswer: 7 + 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221.1951l to millilitres.\nAnswer: 221195.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007409094 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021230 (base 4) in base 7?\nAnswer: -115342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0709299673 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmfdibbd. What is prob of sequence ib?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 2*x - 10, 5*x + 38 = -4*k + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (-12)\/(-3))*-5. Let d = -251\/7 - -36. Which is the nearest to 0? (a) -2 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 4, -22, -3 in descending order.\nAnswer: 4, -3, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 269217 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/(-5))\/(-336))\/(3328\/8736)?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -2*j**3\/3 + j**2 + j. Let g(k) = 21*k - 11. Calculate -2*g(x) - 11*n(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 112036479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**(-8\/5)\/(y**(-2\/5)*y**0)*(y**(-2\/17)\/(((y**10*y)\/y)\/y))**19 assuming y is positive.\nAnswer: y**(-73183\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -139*y**3 - 5*y**2 - y + 3. Let x(m) = -278*m**3 - 12*m**2 - 2*m + 6. Let h(b) = 9*w(b) - 4*x(b). Is h(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - -19) + 29 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:20 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 2*w = 12*j + 38, -3*j = -5*w - 27. Solve -j*d = -5*x + 31, -5*d + 3*x + 0*x = 29 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 8*c**2 - 15. Give q(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 4*q**2 + 2. Calculate a(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(76) + -2)**2*-5 - (-2 + sqrt(76) + -1 + 6*(sqrt(76)*-2 - sqrt(76)))**2).\nAnswer: -23513 - 284*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -764 - -1?\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11876?\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - r - 8, -3*w - 11 + 17 = -3*r. Is ((-18328)\/(-24))\/(1\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/3 + (-28)\/84?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbkkbbbbbbbbbbkbkbk. What is prob of sequence bbk?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 613 and 98271869?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 512, 694, 836, 944, 1024, 1082, 1124?\nAnswer: 1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 1. Suppose -f*z = z - 65. What is the remainder when z is divided by ((-7)\/(-2))\/(2\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17002.39ml in litres?\nAnswer: 17.00239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4557 + -464759\/102. Let f = n - 2\/51. Let g(j) = j**3 - 7*j**2 - 9*j + 9. Let u be g(8). Which is the smallest value? (a) u (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/13)*c*c**(-1\/6) assuming c is positive.\nAnswer: c**(53\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/p)**(-1\/28)*p**4*p**(-1) assuming p is positive.\nAnswer: p**(339\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2259418881?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16*0.4\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 11 - 37. Let m = -21 - -18. Let f = z + m. Calculate the lowest common multiple of 6 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 24 - (-1 + -1 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/5605 and -19\/7.\nAnswer: 39235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 20*v - 43. Let j be k(-19). Let n = 29 - j. Let m = -39 + n. What is the highest common divisor of 98 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9585.5 * -3.\nAnswer: 28756.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21*(-13)\/((-1183)\/(-13)). What is the closest to 2 in -2\/9, 0.4, -0.5, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -5\/6, -6\/13, 2 in ascending order.\nAnswer: -5\/6, -6\/13, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488488379.\nAnswer: 488488379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113854866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 26. What is the closest to b in -15, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/8 and 125\/90*-1 + -2 + -1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - 5 + 145*x - 3*x**2 + 65*x + 12*x**3 - 213*x to j + z*x + b*x**2 + u*x**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41128 and 1272.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*s = 4 + 8, -4*s - 8 = 0. Let c(t) = h*t**2 - 2*t**2 - 6*t + 5 + t**2. Let a be c(4). What is the highest common factor of a and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/6 and 13\/4759260.\nAnswer: 4759260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.02153*-0.06\nAnswer: -0.0012918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, d: 2, j: 5}. Give prob of sequence dn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 7:58 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*k + 7, -k + 20 = 3*m + 25. Let r(h) be the second derivative of 9*h - 7\/12*h**k + 0*h**3 + 0 + 0*h**2. Let l(u) = u. What is r(l(f))?\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (162\/(-15))\/((-1)\/((-15)\/(-6))). Let i = g + -191\/7. Let h = 0.4 + 0. Which is the smallest value? (a) i (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161625750553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 143, 136, 131, 128, 127, 128, 131?\n\"Answer: o**2 - 10*o + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-189)\/42*5830\/495\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:00 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -42. Let q(h) = -h**3 - 8*h**2 - h - 3. Let b be q(n). Let s be b\/((-35)\/2)*-14. Solve y = s*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.89636 grams to milligrams.\nAnswer: 1896.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 6:30 AM?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccvcccvcvcvc. Give prob of picking 1 c and 1 v.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.664 take away 8953.92?\nAnswer: -8968.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22*3\/(-54)*-18. What is the highest common factor of 1793 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3059 + -3055.353. Let p = g + -3.64. Which is smaller: p or 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888113 is divided by 174?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462022.\nAnswer: 2, 31, 23581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149604215.\nAnswer: 5, 1283, 23321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + -21. Let j = c - -113. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99 or 95?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 213*p - 20. Let a(l) = 3*l**2 - 428*l + 50. Determine 4*a(j) + 10*r(j).\nAnswer: 2*j**2 + 418*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - l + 6, z + 2*l - 33 = -30. Suppose 0*w = -4*w. Suppose z*b = -w*b. What is b rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 12. Solve 2*z + g = 6*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4 + 22 = -h, -2*h = 3*x - 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/(h**(-4\/5)\/h*h))))\/h**(-8))**(2\/3)*(h*h**0*h)**21\/((h\/(h*h**(-1)))\/(h*h**3)) assuming h is positive.\nAnswer: h**(773\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204201 (base 6) to base 14.\nAnswer: 601b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 124*u + 12682. Calculate b(68).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.5 (b) 1 (c) -256 (d) -2 (e) -3 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 0.3. Let d = 1 - -3. What is the smallest value in d, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 253 + 291 + 71*k - 511. What is the hundreds digit of n(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-2)\/x))**21\/(x*x**(2\/13)*x*x\/x**(-3\/11))*(x*x**(2\/11)*x*x)\/x**(3\/4)*x*x**(-2\/3)*x*x**(2\/3) assuming x is positive.\nAnswer: x**(48623\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*b + 1209, -5*b = -3*y - 779 + 4351. Suppose 12*t = y + 61. List the prime factors of t.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -60535, -240556, -540591, -960640, -1500703?\n\"Answer: -60007*r**2 - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 11*a + 30*a - 98126 = 0. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/13)*r*r**(1\/2))**(-2\/49) assuming r is positive.\nAnswer: r**(-61\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 5*m**2 + 3*m**2 + (-m - 3*m + 3*m)*(-48*m + 257*m - 3 + 14) to h*m + g + v*m**2 and give v.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -1. Let c = -418.922 - 0.078. Let f = 418.9 + c. What is the closest to b in 29, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*t + 5*t = -244, 5*k - 252 = 3*t. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h + 45. Let v be n(10). Let u(w) = 5*w + 46. Let t be u(v). Let d = t - -32. Solve 4*b + 2*y = -10, -d*b = b - 5*y + 31 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d. Let u(f) = 30*f - 28. Let c(a) = -2*a + 6. Let t(s) = s - 2. Let b(x) = -c(x) - 4*t(x). Let j(i) = -42*b(i) - 3*u(i). Determine j(p(y)).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzduadrduz. What is prob of sequence zru?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4, 4*q + 3 = -i + 13. Let f be -1 + (1 - (q - -1)). Let c(d) = 11*d - 4. Let g(s) = 18*s - 9. Let x(r) = -5*c(r) + 3*g(r). Calculate x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126159 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23\/614 + -434275\/11666. Is -37 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4543 divided by -198?\nAnswer: -413\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 365639540 to the power of 1\/3, to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 15*n - 4. Let w(a) = a**2 - 7*a + 2. Calculate 6*s(o) + 13*w(o).\nAnswer: 7*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -10, 6*a - 2*a = -2*h - 8. Let f = -5602 - -5616. Solve -f*n + 2*n + 60 = h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 11*x - 7. Let b be c(10). Let n = b + 1. Let p(h) = h**3 + 5*h**2 + 4*h + 6. Calculate the remainder when p(-4) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(36)*1)\/(sqrt(300) - 2*sqrt(300)) - (5 + sqrt(3)*-2 + (sqrt(90)\/sqrt(5))\/sqrt(6)).\nAnswer: -5 + 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -40, -55, -74?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110745 (base 9) to base 7.\nAnswer: 364025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30196490 and 13?\nAnswer: 392554370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.26? (a) 151 (b) -1\/10 (c) 0.8 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*j**2 - 145*j**2 + 83 + 236*j**2 + 3*j in the form u*j**2 + q + r*j and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:43 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 275, 414, 569, 746, 951, 1190?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -237, -5.\nAnswer: -237, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 - 14*n**2 + 12*n**2 - n**4.\nAnswer: 2*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 330 - 332.66. Let h = p - -2.3. Which is greater: h or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58*(80\/(-32) + (-291)\/(-111)) - -7?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3126?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 72. Let n be -4*(-1)\/(4\/(-3)). Put i, 5, n in descending order.\nAnswer: 5, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - -0.4. Suppose -3*v - 16 = -7*v. Which is the second biggest value? (a) v (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/278 and 101\/330.\nAnswer: 45870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i**2 + 91*i - 7. Let n(x) = 17*x**2 - 181*x + 15. What is -13*d(u) - 6*n(u)?\nAnswer: 2*u**2 - 97*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + -3 - sqrt(320)) + (sqrt(140)\/sqrt(4))\/sqrt(7))**2.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 94\/(-3) - 6\/9. Let g = -461 - -423. Let h = g - c. Which is greater: h or -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 8*x - 6. Let z(d) = d - 18. Let o be z(9). Calculate the least common multiple of b(o) and 3 + -6 - (-1 + -12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50790236 take away 741013?\nAnswer: -741012.49209764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 4*d + 0*d)*(-3 - 1 + 3)*(2425 + 1570 + 2527).\nAnswer: 13044*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559525400.\nAnswer: 2, 5, 7, 79, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in -2, 130, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13912 (base 12) in base 6?\nAnswer: -330022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -289 - -294. Suppose -2*h + 2*o = -22, 0 = 5*h + z*o - 0*o - 105. Calculate the remainder when 28 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 1\/4*o**2 + 1 - o = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31\/8 + 5\/8. What is the common denominator of u and -99\/26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/4)\/(13 - (-2504)\/(-192)). Solve c*l = 24 + 66 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 3, 12344 in ascending order.\nAnswer: 3, 33, 12344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - (sqrt(98)*-2)**2 - ((sqrt(72)\/sqrt(3))\/sqrt(12))**2.\nAnswer: -394 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2235, -634, -2 in increasing order.\nAnswer: -634, -5, -2, 2235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 5\/4, 3, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -531d9 (base 15) to base 7.\nAnswer: -2145513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 1. What is the lowest common multiple of 27 and q(23)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1.502\nAnswer: 0.3004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24454573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21087\/10 - -2102. Let m = -2701037302667\/467006777062 + -212\/22047341. Let d = -3\/1513 + m. Calculate the common denominator of d and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 27*t - 19 = w, 4*w = -4*t - 68. Is 5\/w - (-3876)\/54*3 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s**2 - 8*s**2 - 16*s**2 + (-s - 5*s + 4*s)*(1 + 5*s - 9 + 6) to w + g*s + j*s**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/8*70\/15. Is -3 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/10 bigger than -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13186 - -0.1305194. What is n rounded to 5 decimal places?\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1239 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 3*h**3 - 2*h**5)*(-6 + 9 + 6) + (4 - 4 - 2)*(72*h - 72*h + 18*h**5).\nAnswer: -54*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 613*q - 613*q + 14*q**3.\nAnswer: 14*q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -1. Let z = -25 - h. Let o = -0.12 - 0.28. Which is the second smallest value? (a) 1\/5 (b) z (c) o (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1141, 57, 377, 2 in ascending order.\nAnswer: 2, 57, 377, 1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 358*w**2 - w - 2. Let n(j) be the third derivative of j**4\/24 + 2154*j**2. Determine n(z(c)).\nAnswer: 358*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**0*d)**(-2\/13)\/(d**(1\/2)\/d)**(-1\/2))**10 assuming d is positive.\nAnswer: d**(-145\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 117554 a multiple of 1109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82317 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73255 (base 8) in base 16?\nAnswer: 76ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30634*q - 33 = -9*w - 30637*q, w - 1 = -q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 2*sqrt(192) + 5.\nAnswer: 5 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422751185?\nAnswer: 5, 31, 2727427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((-4 - 8) + 28).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4301 (base 9) to base 12\nAnswer: -19b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 1 in descending order.\nAnswer: 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 49515?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4568.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -2*h + 2, h + 2*a - 117 = -113 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21064 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -6 + -10 + 3 + (-1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((-12)\/48). Calculate the remainder when n\/(-8) + 57\/4 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = z - 5. Let h = 13 + z. Let k = h - 0. Solve 4*s - 2*y - 6 = 10, k*s + 2*y - 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(6\/(6\/1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {u: 4, v: 1, a: 1, l: 1, r: 4, f: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 - 90 + 40*l + 33 - 39*l to v + c*l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 + 1.5. Suppose u + 0*h + h = -5, -h = 2*u + 8. Let q(o) = -3*o - 4. Let b be q(u). What is the closest to -1 in 3, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2 - 1941300*d - 942161422500 = 0. What is d?\nAnswer: -970650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117.999788 - -118. Round f to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 - 24\/(-10). Suppose -4*j + 7*j - 25 = 5*h, 0 = b*h + 10. Solve -4*w - 3*p - p = j, 0 = -5*w - 3*p + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -243, -305, -391, -501, -635?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 3*z - 16. Let i(k) = k**3 + 6*k**2 + 2*k - 2. List the prime factors of i(z).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6829 + 19\/(76\/(-16)).\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 57 = 3*q - 0*s, -5*q - 5*s = -95. Suppose 3*n - 2*n - q = 0. Let g = 28 - n. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/47, 5, -609.\nAnswer: -609, -3, -2\/47, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67688 divided by -16922.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 r when four letters picked without replacement from {r: 5, n: 1, k: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -201244 and -83?\nAnswer: 16703252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -563 + 274. Let l = i + 318. Calculate the remainder when 56 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.96 less than 5?\nAnswer: -8.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 13*i - 12. Let v be u(-12). What is the second derivative of -3*y + 2*y**5 + v*y + 8*y wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1349, 1360, 1373, 1388, 1405?\nAnswer: 1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/3 = 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-10)))\/(u*u**3)*(((u\/((u\/(u\/u**(-11)))\/u))\/u)\/u)\/u**(2\/15) assuming u is positive.\nAnswer: u**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1120030100 (base 4) to base 5\nAnswer: -43024412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.028 * 0.4\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*v - 8 = 0, -2*z - 4*v - 16 = -5*z. Suppose z = -3*n + 4*l + 19, n - 3 = -3*l + l. Suppose 0 = 3*w - n*w + 8. Is w < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*k - 17 = 0, -4*c - k = -3*k - 22. Put 3, c, -1 in increasing order.\nAnswer: -1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 183\/8? (a) 18 (b) -0.2 (c) 1 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 22. Let q be -1*(-6)\/9*-12. Let u be (q\/48)\/((-2)\/8). Which is the closest to 2\/3? (a) u (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4591 - -10328. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2681 + -2712. Put p, 4, 2, 5, 3 in increasing order.\nAnswer: p, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4237196057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {j: 7, k: 3, n: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 - 1 + 1 - 6*q**2 to the form d + k*q**2 + r*q and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 58 + 9 - (5 + (0 - (-6 + 1))).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -34*s + 29*s. Let u(d) be the second derivative of -7\/2*d**2 - d**3 + 0 - s*d. Let j(n) = -7*n - 8. Give -5*j(t) + 6*u(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16437 + 16477. Which is the nearest to -0.9? (a) -3 (b) u (c) 2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 439.0055 - 0.0055. Let t = 438.9 - z. Which is the fourth smallest value? (a) t (b) 1\/7 (c) 0.2 (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 16*l**2 + 13*l + 30. Suppose 3*j + d = 39, 4*j - 52 = 6*d - d. List the prime factors of c(j).\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 12362*q + 12370. What is i(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1811.9 to the nearest ten.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -21 - (-15 + 19 - 14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 44 = 3*m, m - 3*f - 36 = -2*m. Suppose -2*k + 4 + m = 0. Let c(o) = -20*o + 344. Let b be c(17). Solve -b*v - 7 = 2*d + k, -v + 2 = -d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10560)\/140)\/24*13\/((-78)\/(-84))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*r + 124, 3*r - 6*r = 5*y + 576. Let z = -56 - y. Suppose -3*t = -5*t + 40. Calculate the remainder when z is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (164\/9 - 18)\/(1\/(-1)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42121 and 1193813?\nAnswer: 87148349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 10 - s - 3)*(-s**3 - 4*s**3 + 3*s**3 + (-1 + 1 - 1)*(0*s**3 - 4*s**3 + 3*s**3)).\nAnswer: s**4 - 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.676 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277 + 276.298. Let j = -1.202 - n. What is the nearest to -1 in 0.2, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294763 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, 4, -63, 0.14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2956 - -2955. Let a = 7 - 5. Let w(g) = 3*g**a + 2*g - 3*g - 3*g**2 - 17*g**3. Determine w(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12212086883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -31. Suppose -562 = -30*z - 532. Which is the nearest to z? (a) 0.2 (b) -16\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -813*c*o**2 - 13*c*o - 5*c - 2*o**5 + o**4 - 3*o - 2 wrt o?\nAnswer: -1626*c - 40*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13 from 0.1587.\nAnswer: -12.8413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65356*d*l - 7240*d + 8 wrt l?\nAnswer: 65356*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -532*n - 1056. What is l(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8931541 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -77, 1, -3, -0.25, -0.03?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - -1. Let k = -0.3 - c. What is the second smallest value in k, -2\/9, -1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81d (base 14) to base 9.\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:58 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**3 - 24*r**2 + 7*r + 7. Let c(g) be the second derivative of -g**5\/4 - 2*g**4 + 4*g**3\/3 + 4*g**2 - 2069*g + 3. What is 5*c(i) - 6*j(i)?\nAnswer: -i**3 + 24*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + t + 0)*(-2395 + 855 - 2494) to m*t + x and give x.\nAnswer: -4034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16767450 (base 8) in base 14?\nAnswer: -743608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-52 - -6) + (15 - 6)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -5. Let q(d) = 9*d + 6. Let k be q(-1). Let o(p) = 2*p + 1. Let z be o(1). Sort z, a, k.\nAnswer: k, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from ssssytssssysss.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*k - 108*k + 308 = -157*k for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m - 23 - 57. Let p be (8\/14)\/(20\/70). What is the greatest common divisor of p and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 36*k = -0*c + c - 31*k, -4*k + 6 - 2 + 0 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 13*r**2 + r + 19. Let j = 382 - 369. What is the lowest common multiple of 18 and l(j)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64.5? (a) -0.05 (b) 2\/13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 3*s**2 - 11*s + 30. Let z be t(3). Let w be ((-528)\/(-64))\/(2\/(-8)*z). Which is the nearest to 1\/3? (a) -4 (b) 0.3 (c) -1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 55. Let x be 14*3\/(-12)*(0 + i). Solve -5*b - 2 = -x*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + z**4 + 0*z**4)*(-z - 3*z + 2*z).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10702, 21410, 32118, 42826, 53534?\nAnswer: 64242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18063110 and 0.5.\nAnswer: -9031555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let q be k + (-1 - 0) + -4. Let f(v) = -3*v - 2*v + 9 - 8 - v**2. Determine f(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 368 - 173. Let g be (-11)\/(11\/l)*46\/(-3). Round g to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32713*k - 3 - 25131*k + 3.\nAnswer: 7582*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11220744 or 11220736?\nAnswer: 11220736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11247 + 11247.006897. What is j rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-3) - (-8)\/(-24)) + -5 and -2 + 3 + 60\/(-11)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 + 1 + 4*y - 8*y**2 - 10*y**2 + 21*y**2. Let s be n(2). Suppose -s*f - 4*r = -7, 6*r - 4*r + 1 = -f. Which is bigger: f or -4\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3880116 by -1293372.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -197*a + 4134. Let w be m(21). Suppose 3*n + 9 = -0*n. Is n at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 8*t + 14. Let f be i(-6). Suppose 2*s + 5*g = f*g, -5*s + g = -17. Let d(h) = -h**3 + 4*h**2 - h - 4. Let l be d(s). Which is greater: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p - 315. Let j be b(-41). What is the highest common factor of j and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3046, 3045, 3042, 3037, 3030?\n\"Answer: -z**2 + 2*z + 3045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7798 and 10?\nAnswer: 38990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 516 and 756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 22 - a**3 - 33*a**2 - 15*a**2.\nAnswer: -a**3 - 48*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**3\/3 - 2*v**2 - v - 3. What is the lowest common multiple of 8 and w(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 12084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 91*p**2 + 5963*p + 15827. Calculate r(-42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2778522 or -228?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33860 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50, -3, -140, -403, -834, -1475?\n\"Answer: -7*c**3 - 4*c + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d + 22. Let a be m(-17). Let l = a - -70. What is the second derivative of -21*p - 10*p - 8*p**4 - 11*p**4 - l*p**4 wrt p?\nAnswer: -312*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103 + -2?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 31*w**2 - 32*w - 16. Determine j(30).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**4*q + 3288774*i**4 + 2*i**2*q + 11*i**2 + i*q - 75*q + 25 wrt i.\nAnswer: -24*i*q + 78930576*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:32 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. Let y = -101.99 + 102.09. Which is the closest to 3\/2? (a) -0.4 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 + 31*n**4 + 4 - 25*n**4 + 1 wrt n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6124000 to the nearest 100000.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(90\/2485)\/18.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (sqrt(72) - (sqrt(72) + 0) - sqrt(72)))*4.\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 92663*l - 92663*l + 301*l**2 in the form b*l**2 + d*l + n and give b.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + 0.94. What is the closest to z in -6, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzz when three letters picked without replacement from {z: 3, j: 13}?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g\/g**(-8)))\/g*g*g)\/(g\/(g\/(g*g**(-15\/2)))) assuming g is positive.\nAnswer: sqrt(g)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279270 and 14338?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 7 - 7*w - 9*w - 25 + 1 + 2*w.\nAnswer: -14*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 3144779513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 - 281 - 2*y + y.\nAnswer: -y - 443","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, -9, -32, -73, -138, -233?\n\"Answer: -j**3 - 4*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.89.\nAnswer: 0.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944704.\nAnswer: 2, 3, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784*u - 787*u = 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 1658*x**5\/5 - 1383*x - 2046. Find the first derivative of i(q) wrt q.\nAnswer: 6632*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -318 - 74104\/(-236) - (1 + 26*-3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107380 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/5, 1.34, 0, -0.5, 3\/10082, 0.4?\nAnswer: 3\/10082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (4 + 3 + (3 - 5 - 7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11387 - -80098\/7. Let h = j - 42408\/763. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 1321.\nAnswer: -36\/1321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 279*l**2 + 51*l**2 + 19*l + 171*l**2 + 7*l wrt l.\nAnswer: 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 884, 906, 942, 992, 1056, 1134?\n\"Answer: 7*t**2 + t + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 12:05 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37 (b) 2\/7 (c) 0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 121.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**6\/240 - 2*z**5\/15 + z**4\/48 + 4*z**3\/3 - 1435*z**2. Factor a(k).\nAnswer: -(k - 1)*(k + 1)*(k + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330002 + -12?\nAnswer: -330020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 3716045?\nAnswer: 3716058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*u**2 - 13*u**2 + 3.\nAnswer: -13*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*c*l**2 - 34*c*l - 784*l**2 + 1 wrt c?\nAnswer: -9*l**2 - 34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyo when three letters picked without replacement from {o: 1, y: 4, r: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13698 divided by -5.\nAnswer: 13698\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -100*j - 6. Let o be h(-3). Suppose 3*d + 5*b = o, 4*d + 5*b = 2*d + 196. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dha when three letters picked without replacement from {h: 11, d: 2, a: 1}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -653*w**4\/2 + 2*w**3\/3 - 6349*w - 10651. Find the third derivative of v(i) wrt i.\nAnswer: -7836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 825 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1275)*-3)\/sqrt(3).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 4\/7 (c) -6.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5279228908 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -9*d**8\/14 - d**5\/20 - 14*d**4\/3 + 196*d. What is the third derivative of p(k) wrt k?\nAnswer: -4320*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226217558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -1701, -2\/7, -4.\nAnswer: -1701, -4, -2\/7, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 736 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*-5 + sqrt(171)\/sqrt(36).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -12*b - 252. Suppose b*g + 780 = 45*g. Is g a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 52674?\nAnswer: 210696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -2*x. Suppose x*i - 5*u - 1674 = 64, -2*u = 3*i - 1315. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 39*p**2 + 41*p + 13. Let a be b(-40). Let j be (-79850)\/(-90) - (-6)\/a. What is j rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 17*g**2 - 19*g + 13. What is the units digit of v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -611*f + 612*f. What is the nearest to 0.1 in -6\/7, f, 2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sge when three letters picked without replacement from {t: 3, a: 4, e: 2, j: 1, g: 2, s: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80\/281 or -1?\nAnswer: 80\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 47860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.39373136 to two decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 17*s**6\/2 + s**3\/6 - 287*s**2\/2 - 275*s. What is the first derivative of l(k) wrt k?\nAnswer: 1020*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 13*z**5\/30 - 4*z**2. Let q(h) = 34*h + 40*h - 72*h + 9 - 9. Give q(o(x)).\nAnswer: 52*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 28, -5.\nAnswer: -5, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019310847 rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 647*d**3 + 5198. Let t(p) = 1944*p**3 - p**2 + 15594. Let v(j) = -8*a(j) + 3*t(j). Find the first derivative of v(w) wrt w.\nAnswer: 1968*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-3 + 7))*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -8 (c) 2\/3 (d) -15 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14306653 + -1?\nAnswer: -14306654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104869.05 months in decades?\nAnswer: 873.90875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13577192 to three dps.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 6 - 10, 5*t - 108 = -2*u. Is 13 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = h. Let x = -3 + h. Suppose -j - v + 10 = -3*v, 2*j - 2*v - 10 = 0. Solve j*m = m + x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + -343113641?\nAnswer: -343113545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -29 (c) -3 (d) 0.4 (e) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1447*y + 7801 = -52973 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4981*x = 4942*x - 1521 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(20\/25) - -22089. Suppose -39*o + 12782 + s = 0. What is the remainder when o is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (648\/(-1764))\/(3\/(-7))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4919761 divided by 447251.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -17 + 5 + (0 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4430 and 206180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*j + 46 - 22 = 0, 56 = 4*v + 3*j. Let o be 15\/12*(0 - -6). Which is greater: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 815420 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7635*a**3 + 111*a**2 - 21046407*a - 2.\nAnswer: 45810*a + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= -484\/11543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -342*b**2*o**2 + 11058722*b**2*o - 2*b**2 + 28929*b*o**2 - o**2 + 2*o wrt o.\nAnswer: -684*b**2 + 57858*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*l + 11. Suppose 3*m - 58 = 5*x - 0*x, -l*x - 5*m - 39 = 0. What is the remainder when 118 is divided by 24\/(-7)*(4 + x)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365877756 by 76.\nAnswer: -4814181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 2*u - u. Factor -152*j - 14 + u*j - 34 + 12*j**3 + 3*j**4.\nAnswer: 3*(j - 2)*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59589548 divided by 1027406?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*y + 3*q, -3*q + 2080 - 2123 = 26*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 2, l: 2}. What is prob of picking 2 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, s: 5, c: 1, m: 6, f: 2}. What is prob of sequence effs?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/10 and 351\/6*(-19)\/(-456)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 91\/((-273)\/(-24)) - (-5)\/((-5)\/6). What is t in 0*t + 0 - 1\/5*t**4 + 9\/5*t**3 - 14\/5*t**c = 0?\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 18 - 6 = 0. Suppose 0 = -2*d - 5*i + 6 + 26, 3*d = -i + 35. Let s = d - n. Put -2, s, 0 in decreasing order.\nAnswer: 0, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1366*t = -1103*t - 4734 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 2*q**3 + q**3 - 4*q**3 - 8*q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-17 - -11 - -16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, 0.4, 340.33, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + 3.5. Suppose 9*s + 2 = 11. Sort -0.5, c, s in descending order.\nAnswer: c, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*g - 35*g - 2352. Suppose -1344 - g = -7*r. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -6.11609?\nAnswer: 5.71609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2210 (base 8) to base 4\nAnswer: 102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 104908444*c*i**3 - c*i - 171963530*i**3 wrt c?\nAnswer: 104908444*i**3 - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4025 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + -7 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -362. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 27*t**3 - t**2 + t. Give u(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-14 - -11 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 6. Let h be -4 + y*(-2 + 1). Which is the second biggest value? (a) -2\/7 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 f when four letters picked without replacement from {k: 1, i: 6, s: 3, f: 3}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*b + 3*b = -83992, -b - 125988 = -3*r. Suppose -4*c - 3*m = -56012, -3*c + 3*m = 2*m - r. Round c to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*o + 34*o. Determine z so that 2\/5*z**4 + 0*z - 9\/5*z**5 + 0 + 0*z**3 + o*z**2 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 1:08 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62577838 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 73926d (base 14) in base 12?\nAnswer: 1383b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 10. Suppose -r + 98 = u*c + 3*c, c = -2*r + 151. Let v = -120 + r. Which is smaller: v or -45?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6*s + 2)*(s + 1 - 1)*(-34 - 13*s**3 + 34)*(2 + 0 + 2)*(1 - 2 - 1).\nAnswer: 624*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66716 and 17818304?\nAnswer: 5132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 10*y + 16. Let z be j(12). Let n(o) be the first derivative of o**3\/3 + 5*o**2 + 12*o - 1502. What is n(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 5. Let c(y) = 63*y**2. Determine c(i(j)).\nAnswer: 252*j**4 + 1260*j**2 + 1575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14041124 + 3?\nAnswer: 14041132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 8. Let y be c(6). Let h be 2*((-3 - -2) + 3). Suppose -2*q + h*o - 2*o = -6, 2*q = o + 5. Solve -3*k = y*s - 2 + 5, 6 = -q*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46800009.\nAnswer: 3, 23, 226087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 53. Find the common denominator of 52\/9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 3 + 2 + 0 + (-2*l**2 - 3 + 3)*(0 + 1 + 0)*(3 - 2 + 3).\nAnswer: -10*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**4 + 93312*f**3 + 543822208*f**2 - 4355057664*f + 8713102336 = 0.\nAnswer: -11668, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + ((sqrt(1216) - (sqrt(1216) - (1 + sqrt(1216) + sqrt(1216) + -1))) + (sqrt(1216) + 0 + 3 - sqrt(1216) - sqrt(1216)))*4)**2.\nAnswer: 704*sqrt(19) + 19577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 32 = o. Let g = -13 - o. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 11930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63923699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 435*(-6)\/(-150)*((-440)\/12)\/(-11)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -25, -4, 3 in ascending order.\nAnswer: -25, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-57))\/(15\/8*-4). Let i(j) be the first derivative of 9 + v*j**5 + 4\/19*j**3 - 4\/19*j**2 + 2\/19*j - 2\/19*j**4. Suppose i(t) = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-14) + (5967\/189)\/13. What is the third biggest value in 1\/4, g, 0, -111?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5053 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: Let s(z) = -2*z**2 - z. Let g be s(1). Calculate the lowest common multiple of 10 and (5 + g + -13)*-1.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p - 46. Let j(u) = u**2 + 6*u + 3. Let b(q) = -q**2 - 8*q - 4. Let y(v) = -3*b(v) - 4*j(v). What is a(y(z))?\nAnswer: -3*z**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 105, 182, 233, 246, 209, 110?\n\"Answer: -2*k**3 - k**2 + 94*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24646731 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6836, 7733, 8606, 9443, 10232?\nAnswer: 10961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24912 (b) 0.22 (c) -4 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4861396 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 9*a**2 + 11*a + 24. Give b(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w - 7. Let h(t) = -5*t + 8. Suppose 6*v - 5*v = 3. Give v*h(l) + 4*k(l).\nAnswer: l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*x + 33. Solve x*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 - 31*l - 406. Give k(11).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 2*y + 5. Determine v(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 4*d - 6. Suppose -3*o - 7 = -67. Suppose 6 = -3*v, 4*v + v + o = 5*p. Sort -5, d, p in increasing order.\nAnswer: -5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 534*r**2 + 4. Let g(c) = 56*c + 79*c + 61*c - 200*c. Calculate g(b(q)).\nAnswer: -2136*q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.13032396 to 1 dp.\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67626 + 114839. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-40)\/15 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5 - 40*i**4 - 128*i**3 + 1076*i**2 + 3586*i + 2420 = 0.\nAnswer: -11, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609760 is divided by 248?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wee when three letters picked without replacement from weeleeell?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52209 greater than 52212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, 9, 3\/175 in decreasing order.\nAnswer: 9, 3\/175, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7 - (1 - (-8588)\/560). Let y = -61\/4 - g. Factor 4\/5 - y*z + 1\/5*z**2.\nAnswer: (z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 576 + -345. Suppose -11*u - 2981 = -l. Let k = u + 451. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21590 and 1.\nAnswer: -21589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.9308 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12) - 19\/57?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6660629045.9995423 + 6660631746. Let u = k + -2700. What is u rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151188 divided by 50396.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2085.4 + 2085.4. What is the nearest to d in -2\/5, 1\/3, 0.09, 5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/32475 and -7\/69.\nAnswer: 746925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6363208 weeks in microseconds?\nAnswer: 384846819840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 2 - 2)*(3*b - 5*b - 12*b) to the form s*b**2 + q*b + k and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 485484 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - -213?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1027126 and 4084.\nAnswer: 2054252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.722 and 0.276.\nAnswer: 0.751272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -987*p + 285*p - 2 + 303*p + 336*p as l + m*p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0922201998 + 0.09222. Round p to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 25039790*p + 31349554162205.\nAnswer: 5*(p + 2503979)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393506312.\nAnswer: 2, 3, 11, 1279, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.46 (b) 60\/257 (c) -2\/3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -110010?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**3 - 8973*y**2 + 89955*y - 225075 = 0.\nAnswer: -3001, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208455 and 191100.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q*z - 14174*q - 18445*z wrt q?\nAnswer: -z - 14174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*((1 - 1) + 1). Let a be 12\/d + 2\/(-7). Is a at most as big as -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -2120232112133?\nAnswer: 2120232112130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8 minus 42441?\nAnswer: -42437.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19162 times 45696?\nAnswer: -875626752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(1\/60)*(b*b**(-4))**(-2\/15) assuming b is positive.\nAnswer: b**(23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2040 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 320\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110211 - -12?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 682666139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*s - 6, 105*s = -5*p + 107*s - 4. Let w(c) = -4*c**3 - 12*c**2. Let f(d) = d**2. Calculate p*w(j) - 24*f(j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -449 + 453. Which is the smallest value? (a) 3 (b) 0.02 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1106196.0043 + -1106250. Let q = -54 - s. What is q rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1923188277, -1923188279, -1923188281?\nAnswer: -1923188283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1663, 1573, 1395, 1123, 751, 273?\n\"Answer: -u**3 - 38*u**2 + 31*u + 1671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 1. Let f(s) = 114*s - 7. Determine 5*a(w) - f(w).\nAnswer: -109*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, c: 2, u: 1, e: 1}. What is prob of sequence ueci?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u*y**4 + 9678*u*y**3 + 73*u*y**2 - 4*u*y - y**4 + 21*y**2 + 1 wrt y.\nAnswer: 24*u*y + 58068*u - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 4. Calculate the greatest common divisor of f and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 2. Let l(p) = -p + 1. Let r(b) = 10*l(b) + 6*v(b). Let h(m) = -2*m + 2. Suppose 0 = 4*w - w + 12. Determine w*r(d) - 5*h(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.74, -151736 in descending order.\nAnswer: -0.5, -0.74, -151736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 364473 in increasing order.\nAnswer: -8, 4, 364473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 3004532?\nAnswer: -3004532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 634.6503 millilitres?\nAnswer: 0.6346503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-6)*s)\/s)\/s**(-4))\/(((s*s*s**5*s*s*s)\/s)\/((s**(-1)\/s)\/s)) assuming s is positive.\nAnswer: s**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 303.5 + -303. What is the closest to -2\/5 in -8, -0.2, 1\/9, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.9 + -8.9. Which is the third biggest value? (a) -4 (b) -2 (c) -0.33 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 21699 - 107*o - 21705 + 106*o - 16*o**3. Let y(v) = -15*v**3 - v - 5. Give -5*g(b) + 6*y(b).\nAnswer: -10*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12446761 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: In base 6, what is 104031 + -5?\nAnswer: 104022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 322\/7723 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 18. Give n(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 2\/159 (c) 3 (d) 6\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h**4 + 2*h)*(-1 + 1 - 2*h) + h**5 + 0*h**5 + 0*h**5 + 3*h**5 + 2*h**4 - 12*h**4 - 4*h**5.\nAnswer: 4*h**5 - 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100.1889*-0.3.\nAnswer: -30.05667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x - 391. Let y(g) = -5*g - 795. Determine 13*k(q) - 6*y(q).\nAnswer: -22*q - 313","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -2*m**3\/3 + 4*m**2 + 3*m + 6. Let k = 27 - 21. What is o(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -23\/7*j**2 + 15*j**4 + 0 - 22\/7*j**3 + 6\/7*j + 18\/7*j**5 = 0?\nAnswer: -6, -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**5\/20 - q**4 - 5*q**3\/3 - 13*q. Is 40 a factor of h(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20736 or 20560?\nAnswer: 20736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1084545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21615\/4 + -5332. Let t = 73 - y. Which is the closest to -2\/3? (a) -40\/11 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 5*z - 5. Give q(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iic when three letters picked without replacement from {c: 1, a: 1, u: 4, i: 6, b: 4}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147810.\nAnswer: 2, 3, 5, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 6. Suppose p - 16 = l - 3*p, -a = -p. Let w be 19154\/2198 + (4\/(-10)*14 - (-216)\/(-540)). Is w less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -9*o**5\/20 - o**4\/2 - 10*o. Find the third derivative of y(v) wrt v.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 1. Let y be -1 - (h + -3 - 1). Suppose 0 = -0*t - y*t + 70. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 184850329 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 23. Calculate the greatest common factor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 102 + (30 - 91).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539445692.\nAnswer: 2, 41, 61, 53923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/2*(-6510)\/(-70).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b*b**(1\/3)\/b)\/b)*b)**26\/(b**(1\/4)\/b)**(-32))**(13\/5) assuming b is positive.\nAnswer: b**(2782\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 28*j + 25*j + 2160 = 0, 2*l - 2*j = 4368. Is 2178 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3 = -3*d, -5*d + 5 = v - 3*v. Let a be (130\/6)\/(d\/6). Let c = -1692\/13 + a. What is the nearest to c in 2\/19, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186610556 by 4.\nAnswer: -46652639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26895 - -52289. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + 0*x**4 - x**2 + x**3 - x**3 + x**4 as s*x**2 + o*x**4 + g*x**3 + p + m*x and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.44511*2.7\nAnswer: 1.201797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/288 and -23\/180.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9415\/16 - -9423\/16. Determine y so that y**2 - o + 1\/2*y = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 8 = 0, -5*k - 21 = 74*u - 73*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 21*r**3 - 41*r**2 + 25*r + 5. Let v(t) = 11*t**3 - 20*t**2 + 10*t + 2. Give -2*h(u) + 5*v(u).\nAnswer: 13*u**3 - 18*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*o + 158*o - 33 = -5*f, 3*o - 92 = -16*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 (base 14) in base 7?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254 (base 6) in base 12?\nAnswer: 22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(2)*-1)\/(sqrt(125)*-4).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 2*n**3\/3 + 160*n. Let q(x) = -187*x**2 - 1. What is q(s(l))?\nAnswer: -2992*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38494, -154045, -346652, -616315, -963034, -1386809, -1887640?\n\"Answer: -38528*m**2 + 33*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/70 - (-5)\/(-50)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 552547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1321 + -866. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -735797 + 1142278. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 13 = 4*l, -13 = 5*z + 4*l + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.65 - -0.4. Let a = d - 0.05. Let j = 10 + -10.4. Sort 0.1, a, j in descending order.\nAnswer: 0.1, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q - 2*q**3)*(-5 + 4 + 0) + q**3 - 2*q**3 + 5*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 c, and 2 y when four letters picked without replacement from {l: 7, y: 9, c: 1, q: 2}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/8610 and -145\/322854?\nAnswer: 66185070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011 (base 2) in base 3?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 4:26 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36031991 to the nearest integer?\nAnswer: 6003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/5 - 27108*r\/5 - 54232\/5.\nAnswer: 4*(r - 6779)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6\/8 - (-13)\/4 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - 220. Let v = -60 - f. Suppose -2*q - 8 = 0, h + 3*q + v = 3*h. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1639.9 rounded to the nearest ten?\nAnswer: -1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478272199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 1\/12*y**6 + 14 + 0*y - 3\/2*y**2 + 5\/8*y**4 - 7\/10*y**5 + 7\/6*y**3. Find k such that r(k) = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 13. Let q = 7 + o. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 - 107*b - 247. Determine p(16).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**2\/2 + 146000*s + 4. Let k be f(0). Let l be 10*1\/1*k. What is l rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12101022002 (base 3) to base 10.\nAnswer: -105923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2 + 55 + 7).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p + 2. Let h(m) = 7*m - 2. Let x(w) = -3*h(w) - 5*u(w). Determine x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-25 + (-3 - -3)). Suppose i - 28 = k. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45\/4 - 307\/28. Let o = -6 - -10. Which is the third smallest value? (a) -0.1 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*m**3 + 20*m**2 - 8*m.\nAnswer: 4*m*(m + 1)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -783231073*j**2 + 5719522.\nAnswer: -1566462146*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137228 by -421.\nAnswer: 137228\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3314454mm?\nAnswer: 0.0003314454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177365.454 hours to weeks.\nAnswer: 1055.74675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 187642, 375251, 562860?\n\"Answer: 187609*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22246056787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*l = 231*l + 312. Solve 0*b - 6*b = l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-24)*3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**3\/2 - m**2\/2 + 2*m - 1. Let v(g) be the first derivative of q(g). Differentiate v(k) wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7)*39\/26.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/((sqrt(5) + sqrt(10)\/sqrt(2))*6))**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 511 and 1695?\nAnswer: 866145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-5)\/((-50)\/36). Suppose -4*a = -7*a + w. Solve -2*s + a*s = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -0*a + 2*l + 14, 32 = -4*a - 5*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((4 + -4)\/2)\/(-2). Solve f*a + 28 = -4*a + 4*b, 4*b - 13 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48, 257, 832, 1959, 3824, 6613, 10512?\n\"Answer: 31*n**3 - 3*n**2 + n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555\/(-74)*(-1348)\/10?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37360494*d**3 - 42116801 with respect to d.\nAnswer: 112081482*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2235, 6, -7 in increasing order.\nAnswer: -7, -2, 6, 2235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (8 + -23) - (1 + -17)) + 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088782 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12262? (a) -1\/3 (b) 5 (c) 0 (d) -0.4 (e) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13125*2 + (-765)\/51.\nAnswer: 3, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/5, -27, 2, -3 in ascending order.\nAnswer: -27, -3, -0.1, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 2*y - 4. Let x be p(2). Let w(h) = -h + 3. Let t be w(x). Let o(g) = 7*g + 4. Let l(v) = 3*v - 6*v - 5*v - 5. What is t*o(m) + 6*l(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-16) + 51\/(-24). What is the common denominator of (-4)\/(-240)*-206 - w\/5 and 34\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - n**2 + 1. Let o be g(1). Let s(c) = 2*c. Determine s(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b - 4*b + 2*b**2 + (-46*b - 65*b + 14*b)*(2*b - b + b) in the form i*b + c*b**2 + v and give c.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*v - 0*v. Let l = 1 - 0. Which is the closest to v? (a) -1\/6 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/3*(-12)\/8. Let r(d) = -d**2 - 1 + 4 + 3*d + z*d. What is the remainder when r(6) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5307.606 to the nearest integer.\nAnswer: 5308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3782 and 379874.\nAnswer: 23172314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 11)\/(12\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 5:21 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1521, -2889, 0.1 in decreasing order.\nAnswer: 1521, 0.1, -2889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7684 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 + 12*r**3 - 10*r**2 - 48*r + 72.\nAnswer: -2*(r - 3)**2*(r - 2)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26960 (base 14) in base 10?\nAnswer: 95144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d - 6. Let i(h) = -120*h + 65. Let j = -147 + 212. Determine j*z(g) + 6*i(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23498 + -22538. What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + (10 + -17)\/(44\/(-20))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 + 80*u + 20. Give h(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400\/(-2160) + (-2 - -6) + 3 + -6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 5*i**2 - 6*i + 3. Let r be y(-6). Solve 2*q - r = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/120 - c**5\/12 - c**3 - c**2. Let r(l) = -4*l. Let n be r(-2). Let k = -3 + n. Determine q(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 18 - -3 - (4 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 - 4*g + 59 + 5*g + 2*g - 5*g + (-2*g - g + 2*g)*(-3 - 3 + 5) - 17*g - 33*g - 5*g - g + 0*g - g to the form r*g + b and give r.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1570*u**3 - 6*u**2 - 7*u?\nAnswer: -9420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -47026, -47031, -47048, -47083, -47142, -47231, -47356, -47523?\n\"Answer: -w**3 + 2*w - 47027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2. Let u(x) = 14890*x - 5. What is u(f(a))?\nAnswer: -14890*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 773213820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 - -0.36. Let l = t + -1.55999919. Round l to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -107.2.\nAnswer: -107.2, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m + 25 + 32*m + 166*m - 23.\nAnswer: 183*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 + 0.6. Let r = 188 - 182. Which is the second smallest value? (a) n (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1692 - 680. Suppose 3*p - 5*p = d. Let y be p\/(-12) - 9\/54. Calculate the highest common divisor of 63 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122895 is divided by 61296.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**5 - 4*r**5 + 4*r**5 + (0*r + r + 0*r)*(-r**2 + r**2 + 2*r**4) + 3*r - 3*r - 3*r**5.\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -53, -15, -0.1 in descending order.\nAnswer: -0.1, -0.4, -15, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**3 - 4*x**2 - 12*x - 43. Let j be h(-7). Suppose -71 = -3*n - 2*l + 1275, 0 = -5*n - 2*l + j. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l + 5. Let h(p) = -3*p - 6. Let n(f) = 5*b(f) + 4*h(f). Let c = -2 + 5. Let z(d) = -3*d + 2. Determine c*z(m) - 4*n(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21421075583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (-1 + sqrt(117))**2)*6 - (sqrt(117) + (1*(sqrt(117) - (-1 + sqrt(117) + sqrt(117))))**2)) + (-2 + (-2*sqrt(117)*1 - sqrt(117)))**2 + -4.\nAnswer: 21*sqrt(13) + 1643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 395*b. Let c(x) = 71*x - 4. Let g(m) = 798*m - 45. Let u(t) = 45*c(t) - 4*g(t). What is u(j(y))?\nAnswer: 1185*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*b + 60, 2*b + 20 = -3*b. Let r be (-26)\/(-6) + (-6)\/y. Solve a = -r*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*t - 10, -t - 6*v + 2*v - 14 = 0. Suppose t*w - 36 = -7*w. Let 5*g**5 - 10*g**w - 1040*g**3 + 1040*g**3 - 5*g + 10*g**2 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 92*l + 859. Give t(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -902286 divided by -11718\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from invhb. Give prob of picking 1 b and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aka when three letters picked without replacement from tasttsastsakt?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 34617?\nAnswer: 34612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = -9119 - 8125. What is the units digit of j*(-4)\/96 - 4\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-33) - (-42)\/77.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*i - 39323 = 0, 98285 = 41*s - 36*s + 5*i. What are the prime factors of s?\nAnswer: 2, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15949*h**3*i**2 + h**3*i + 36*h**3 + 43521*h**2*i**2 + 37*i**2 wrt h.\nAnswer: 95694*i**2 + 6*i + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 78.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1013*p**2 - 35*p - 35. What is the remainder when f(-1) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 13335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -240*d + 104. Let h(x) = 37*x - 16. Let p(a) = 32*h(a) + 5*o(a). Let r be p(-5). Let n = r + -17. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207860.53 rounded to the nearest one hundred?\nAnswer: 207900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.37 to one decimal place.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -684db (base 14) to base 11\nAnswer: -163447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**3*g**3 - 8176*a**3 + 201*g**3 wrt g.\nAnswer: -15*a**3*g**2 + 603*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 3:10 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 7*k + 1080. Let i = k + 219. Suppose -20*c = -18*c - i. What is the remainder when c is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149 or -148?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14c29 + -24b?\nAnswer: 149ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + n**3 + 3*n**3)*(-n + 20*n - n) - 2*n**3 + 2*n**3 + n**4.\nAnswer: 37*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35238793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1. Let k(t) = -2*t**2 + t + 2. Suppose 0 = 6*r - 5*r - 36. Let a = r + -33. Suppose 5*d = a - 8. Give d*k(g) + 2*l(g).\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8580629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 110 + -19ad1?\nAnswer: -199c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Suppose 0 = 2*b + b - 12. Let u(h) = h**2 + 6*h - 3. Let d be u(-7). Let g(p) = 3*p**2 - b*p**2 - d*p**2. What is g(a(c))?\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-15) - 526\/(-10). Let q = -37 + m. Let w(p) = -p**3 + 2*p**2 - p - 2. Calculate the lowest common multiple of q and w(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 337 - 1?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/(378400\/(-96)))\/((-2)\/(-1) - 115\/50)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 53 = -3*r + r, y = -5*r + 100. Suppose r*z - 17*z = 104000. What is z rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0*a + 5*a)*(-2 + 2 + 1) - 2*a + 3 - 3 + (1 - 5 + 1)*(-3*a + a - 2*a).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 59*w**2 - 51*w + 401. Let q be s(-58). Put 10, q, 4, 5, 3 in decreasing order.\nAnswer: 10, 5, 4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/(19\/(475\/(-15)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -15*r + 202. What is the highest common factor of 88 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*z - 391*z - 362 = 4*o, 2*z - 3*o = 729. What are the prime factors of z?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144640519.\nAnswer: 43, 3363733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*f - 125, -3*f + 51 = 4*o - 70. What is the lowest common multiple of o and (-1 + 2)*(12 + -1)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 17)*(-7 + 8). Suppose 3*s = 4 - 1. Let u = s + v. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 192*v - 42. Let y(n) = 476*n - 104. Give -12*g(c) + 5*y(c).\nAnswer: 76*c - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - d**2 + 3*d**2 + 95*d**2 - 134*d - 2 + 134*d + 1 - d**2 - 1 + (d**2 - d**2 - 2*d**2)*(4 - 3 - 3) + 0*d + 0*d - 2*d**2.\nAnswer: 98*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) 14\/13 (b) 1 (c) 0.4 (d) 155 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - p + 2, -r + 5*r - 4*p + 8 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 880*b + 20. Let q(x) = -126*x - 3. Calculate -3*c(s) - 20*q(s).\nAnswer: -120*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*n + v + 9 = -110*n, -5*n + 2*v + 23 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 42?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -64\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88) - (-4*sqrt(88) + sqrt(88) - sqrt(88)))*-3*-5)\/(-1*(4*sqrt(16)\/sqrt(2) - sqrt(288)\/sqrt(4))).\nAnswer: -75*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -478 divided by -18?\nAnswer: 239\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1635*q**4 - 4*q**3 + 1060029 wrt q?\nAnswer: 6540*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -1129*k**4\/4 - 653*k**3\/3 + 1901. What is the third derivative of f(a) wrt a?\nAnswer: -6774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 4:01 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6550*x**2 - 3246*x**2 - 3254*x**2 + x**3 + 7*x)*(5 + 3 - 1).\nAnswer: 7*x**3 + 350*x**2 + 49*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/25)\/(-3) + (-17)\/(-5). Suppose 0*d - j*l - 21 = -3*d, 2*l = -d + 7. Solve d*i = 3*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -2*x**6\/15 - 43*x**3\/6 - 178*x**2 + 315*x. Find the first derivative of k(u) wrt u.\nAnswer: -16*u**3 - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 18 = -2*o. Suppose y - 6 = 2*y. List the prime factors of 4\/o - 8\/y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 0.27128 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 9:58 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30114848 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 5. Let r be u(-5). Let i = 1\/31 + 28\/93. Find t such that -1\/3*t**2 + i + r*t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**6\/36 - j**5\/30 + 5*j**4\/24 - j**3\/6 + 5. Factor y(g).\nAnswer: -g**2*(g - 1)**2*(g + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 8 - 7. Suppose -12*b - u = -13*b. Let v be -2 + (1 - 1) + 3. What is the greatest common factor of v and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75443\/16766 - 2\/8383. Let n be 2\/((-36)\/15 + 2). Which is bigger: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8700 divided by -2900?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*z**3)*((0 + 0 - z)*(0 + 2 + 0) + 7 - 60*z - 7 + 2 - 2*z - 2).\nAnswer: -128*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -118, -245, -376, -511?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -15, -27 + 9 = -2*r + 4*v. Suppose 0 = m + r*o - 5, 2*m + 5*o = -m + 15. Suppose -50 = -m*t + 3*t. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4732 = -924. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94995.7902 - 94919.8. Let p = -76 + t. What is p rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - 12. Let q(k) = k**3 - 4*k**2 + 2*k - 1. Let i be q(b). Solve 25 = -i*y + 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3967*p**2*q**2 - 3*p**2*q + 2*p**2 + 230*p*q wrt q?\nAnswer: 7934*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -75, -21\/8?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 92\/(-210) - 1\/(35\/(-20))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -54. Put -2\/9, 3, n in decreasing order.\nAnswer: 3, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-723 + 723 - 31*v)*(3981 + 37*v**2 - 3981) in the form h + l*v + m*v**3 + z*v**2 and give m.\nAnswer: -1147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 324 - 280. What is the remainder when 350 is divided by d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 1856 = -184. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*x = 4, -2*x = 5 - 1. Let s(r) = -r - 6. Let d be s(-6). Suppose d*g - m*g = -24. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28 and -429954.86044?\nAnswer: 429926.86044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -206*q + 3135. Determine m(-1).\nAnswer: 3341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 11:05 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2405, -4820, -7221, -9602, -11957, -14280?\n\"Answer: f**3 + f**2 - 2425*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4172*k = 4181*k - 315 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - q + 9 = 0, 15*b + 7 = 17*b - 3*q. Solve -3*w**b - 17*w**2 - 96 + 2*w**3 + 12 + 42*w - 148*w = 0 for w.\nAnswer: -3, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*m - 34. Suppose 3*r = -2*f - 1 + 7, 0 = -3*r - f + m. Suppose r*t + t = 0. Solve t = 5*y - 2*s - 15, -4*y + y = 2*s - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 125897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 860.9 - 861. Is v < 1\/596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3747 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -986 divided by 115.\nAnswer: -986\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 133290*u + 888311205.\nAnswer: 5*(u - 13329)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*h**2 - 40*h**2 - 41*h**2 + 153*h**2 - 48*h**2 + 64*h**2 - 42*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1532440451 - 12?\nAnswer: 1532440435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 23170*k + 5127165.\nAnswer: 5*(k - 4401)*(k - 233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 259\/(-21))*9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21.7 in -0.5, -1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 + 47*o**2 - 60*o + 445. Calculate q(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*o - 34*o + 9. Suppose 15 = -o*l + 14*l. Solve 3*i + 7*b + 3 = 4*b, -i + 11 = -l*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 30. Suppose -31 = 4*g - 23, 3*b + 34 = 4*g. What is t(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10994 and 470352.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 587586 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1484790, -1484792, -1484796, -1484802, -1484810, -1484820?\n\"Answer: -n**2 + n - 1484790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 0*l**5 - 70*l**4 + 17*l**3 - l**5 - l**5 - 3*l**5 - 137*l**3 = 0.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**4 + 35*n**3 + 195*n**2 - 475*n + 250 = 0.\nAnswer: -5, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 6:33 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 218\/(-4360) + (-561)\/(-20)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -141, -3, 255 in increasing order.\nAnswer: -141, -3, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -8 - 1376\/(-16). What is the greatest common factor of 182 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*t**2 - a**3*t - 981*a**2*t**2 - 4*a**2*t + 15*a*t wrt t.\nAnswer: -4*a**3 - 1962*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3296457 years to months.\nAnswer: 3.9557484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.18 to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165357098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10318883 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - 3) + -1 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 11*z + 2. Determine o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3344597661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113 - -1807\/16. Let h = 7\/16 - v. What is the second biggest value in h, -0.2, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b + 28*b - 38*b - 2)*(-5 + 3 + 0).\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - f + 1. Let i be p(1). Let j be i\/3 - (-140)\/12. Suppose 4*b + 0 - j = 0. Sort b, 2, 0 in decreasing order.\nAnswer: b, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**2 + 8*h**2 - 25*h**2 + (h - 5*h + 0*h)*(2 - 2*h - 2) - 17 + 17 + 9*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25, 0, -1 in descending order.\nAnswer: 1, 0, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21727 and -3294.\nAnswer: -715.68738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5672*f + 85113. Give b(15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 9:51 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 11. Let i be c(0). Suppose -i*x = -12*x + 52. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 89?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1672\/1027 + -21\/13. Let s(w) be the first derivative of w**2\/2 - w + 4. Let j be s(0). Is j smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**5 - 175*n**4 + 1855*n**3 - 5365*n**2 + 5890*n - 2200 = 0.\nAnswer: -44, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-126)\/(-105))\/((-24)\/40). Sort 341, -1, n in descending order.\nAnswer: 341, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3 - 1610542*g**2 - 5625480*g?\nAnswer: 12*g - 3221084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(132\/(-9)) - (0 - 35\/(-20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 239*t**2 - 237*t**2 + 3 + 4 + 4 - 14*t. Does 3 divide u(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8783520 by 870.\nAnswer: -10096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(190)\/(sqrt(90) + sqrt(10) + sqrt(10)) + sqrt(19) + -2 + sqrt(931) + -3.\nAnswer: -5 + 46*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14011.791 times -0.7\nAnswer: 9808.2537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxi when three letters picked without replacement from {p: 2, i: 1, f: 1, q: 1, g: 1, x: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:46 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 8*q + 87 = 0. Let o(x) = -x - 29 - q + 58. Let b(t) = 9 - 11*t - 9. Determine b(o(w)).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2577465588 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r = 0. Suppose -4*l + 14 + 18 = r. Calculate the least common multiple of l and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/3 + 2150*m**4\/3 + 696656*m**3\/3 + 60636688*m**2\/3 + 234255520*m\/3 + 231503200\/3 = 0. What is m?\nAnswer: -470, -131, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 794.3 (b) 5 (c) -1.2 (d) -3 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x - 184. Let g(p) = p - 61. Let w(q) = -11*g(q) + 4*k(q). Let o be w(-23). Calculate the common denominator of -83\/21 and (-648)\/(-112) - 6\/o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 24. Solve -c*q - 19 = -4*r, 6*q = -r + q - 24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10692.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e (base 16) in base 8?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2032 + 2032 - 7*s**3 + 6*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6228 + 6248. Solve -4*d - 3*c = -15, -57*d + 4*c - n = -54*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2588\/21 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*2\/4*-1. Is (2\/r)\/((-20)\/(-1110)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4 + 7008*m**3 - 2663020*m**2 - 2670024*m = 0. Calculate m.\nAnswer: -2073, -1, 0, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 264684 + -794047\/3. Factor 0 - 1\/3*d**4 - 2*d + t*d**2 + 2\/3*d**3.\nAnswer: -d*(d - 3)*(d - 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1112)\/(-10))\/((-6)\/60*-4). Suppose -2*t + 506 = -v. Suppose 5*b - b + 4*r = t, -5*r - 480 = -5*b. What is the remainder when b is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*x = -4572124, -58*d + 57*d + 5*x = -914464. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(13) - (sqrt(13) + -3))*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-14))\/((-3)\/2*4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15664275 divided by 1424025\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-24) - (8\/20 - (-4113)\/(-120)). Solve 10 = 6*u + v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p - 5. Let d be p\/14 + 98\/4. Let u = d - 23. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8985, 8743, 8061, 6717, 4489, 1155, -3507?\nAnswer: -9719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from ppvpnvvnpvvpgpn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + 81. Suppose 0 = -4*v + u + 1107, -5*v + 2*u + 1224 = -h. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**3 + l**2 - 1. Let t be n(1). Suppose -32 = -t*d + 5*v, 0*d - 16 = -5*d - v. Let q be 3\/((-9)\/(-2))*-3. Sort -5, d, q.\nAnswer: -5, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 10*m**2 + 14*m + 102. Let t be v(-8). Find the second derivative of -70*u**2 - 38*u + 107*u - 9*u + t*u wrt u.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 953 + -447. Suppose u = 3*y - 2*a, -2*a + 841 = 5*y - 3*a. Suppose -6*v + y = -3*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.01 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102011112202211 (base 3) to base 15.\nAnswer: 7c3951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*p**2 + 40*p**2 - 71*p**2)*(3 - 3 - 2*p) + 3*p**3 - 2*p**3 + 0*p**3.\nAnswer: 189*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 18. Let l be d\/(2 + (-320)\/158). What are the prime factors of l\/(-4) + 3\/12?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -3\/4, 2\/13, 3719611, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -7*a**4\/6 - 126*a**2 + 2*a. Let r(q) be the second derivative of q**4\/12 - 3*q. What is g(r(i))?\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from glllttkglkiktlx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/37 in 14, -3, 30034, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 9\/86 (b) 6 (c) -3 (d) -1 (e) -9.7 (f) -2 (g) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 11. Let z(b) = -23. Let u(f) = -19. Let o(s) = 6*u(s) - 5*z(s). Suppose 5*r + 30 = -60. Give r*o(q) + 2*d(q).\nAnswer: 2*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4\/2 + 1603*l**3 - 28797*l**2\/2 + 38372*l - 25576 = 0.\nAnswer: 1, 4, 3197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*m + 899 = -436 - 2215 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - -1.96. Let n = -4 + k. Let f = 4 + n. What is the nearest to 0.1 in 5, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/17)*h*h*h)\/(h*h**(-10)*h))**(1\/20) assuming h is positive.\nAnswer: h**(189\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -113?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11244254*t**4 + 4*t - 1777914 wrt t.\nAnswer: -134931048*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1496 - -1502. Solve 3*y - h - z = 4, 8 = 3*y - 2*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d + 292. Calculate the smallest common multiple of 66 and o(34).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856551602.\nAnswer: 2, 23, 18620687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -242*h**2*m**3 - 8879*h**2*m*v**3 + 2*m**3 + 48111*m**2*v**3 + 24*m*v**3 - 4*v**3 wrt h?\nAnswer: -484*h*m**3 - 17758*h*m*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, -1412295 in increasing order.\nAnswer: -1412295, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*x**2 + 69*x**3 - 310*x**2 + 72*x**3 - 318*x**2 + 922*x**2.\nAnswer: 141*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -20. Suppose m - p - 110 = 0, -3*p + r*p - 318 = -3*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -45, -44, -43?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(90)\/sqrt(5)*-6 + sqrt(18))\/sqrt(9))*-2 - 2*(1 + 3*4*sqrt(50)))**2.\nAnswer: 2640*sqrt(2) + 24344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {e: 5, r: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 9:25 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153 - -157. Put 1, -2, -11, w in decreasing order.\nAnswer: w, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, w: 7, t: 4, n: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 = -11. Let x(d) = -5*d + 2. Let l be x(h). What are the prime factors of l\/(-3)*6\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18652922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*v + 2*v + 22 = 0, -3*f - 3*v + 21 = 0. What is the second derivative of -1 - 3*n**2 - 52*n + 4*n**3 - f + 61*n wrt n?\nAnswer: 24*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/7 (b) -2\/15 (c) 63 (d) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 1. Let f(a) = 132*a + 26. Let m(s) = 2*f(s) + 52*p(s). Let x(q) = -71*q**2 + 1. What is x(m(i))?\nAnswer: -1136*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 891*l**2 - 94827*l - 451485.\nAnswer: 3*(l - 381)*(l + 5)*(l + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 16 (c) 0.5 (d) -0.5 (e) -159\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 16. Suppose 0 = -p - g + r, p - 4*g = -6*g + 10. Find the first derivative of -1 + 1 + p*o**4 - 2 wrt o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -411*q - 56273. Determine g(-137).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2a76a8 (base 11) to base 4\nAnswer: -1310313101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -57. Factor -10*s**2 - 11*s**3 + 2*s**2 + 9*s - 4*s**o - 2*s**4.\nAnswer: -s*(s + 3)**2*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 68 = -17. Solve i - 20 = -5*n, 0*i = p*i - 4*n + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -98*r - 36*r + 10935846. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5914036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, t: 5}. What is prob of picking 1 o and 2 t?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(468) + -2)*4 + -4 + sqrt(468) + -2 + 4)**2 + 4.\nAnswer: 360*sqrt(13) + 4316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/27*(-174)\/(-58)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -16*u + 13 - u**2 - 30 + 9. Is c(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + f + 2*f + (0*f - 4*f + f)*(1 + 1 + 0))*(-4*f**4 - 2*f**2 + 2*f**2).\nAnswer: 32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*v - 60 = 0, -5*v + 106 - 74 = 2*i. Put 11, -5, i, -22 in descending order.\nAnswer: 11, i, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 4*d - 4*d)*(-2 + 2 + d) + 3*d**2 + 4 - 5*d**2 + d**2 to the form w + q*d**2 + a*d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 30 + 26*n**3.\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 3 + (181 - 178) + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49387, -184212, -408929, -723544, -1128063?\nAnswer: -1622492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437328 is divided by 15623.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/175*5)\/(2\/5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-2)\/(1\/1)*18\/(-108)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213*h - 16659*h = -1266572 for h.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1714, -1, 75?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -410 - -558. Factor -592*y + 124*y**2 - 1029*y - 153*y - 2*y**3 - n*y.\nAnswer: -2*y*(y - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002012 - -100?\nAnswer: 1002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - h + h)*(-204*h + 142*h - 281*h)*(1 + 13 + 4) in the form o*h + a*h**2 + q and give a.\nAnswer: -12348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 66.6 (b) -6\/3067 (c) -4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 1140 - 1124 = -0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/15 + 84\/(-630).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25180590, -50361179, -75541768, -100722357?\nAnswer: -125902946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -151, -362, -663?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**4 - 5*i**4 - 2*i**4)*(-4 + 4 + 3) - 3*i**4 + 2*i - 2*i + (-6*i**2 + 3*i**2 + 2*i**2)*(69*i - 45*i + 100*i)*(-5*i - i + 3*i).\nAnswer: 357*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2. Let o(n) = -364 + 364 - 3*n. Determine o(u(g)).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5010 and 30?\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 39*f**3 + 12*f**2 - f - 6. Let c be y(8). Let u = c - 7722. Round u to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t + 12*t + 60*t + 29*t.\nAnswer: 75*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13*b - 2. Let l(d) = 585*d + 91. Determine 6*l(s) + 273*z(s).\nAnswer: -39*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -39. Which is the closest to 6? (a) v (b) 4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669*p + 2*p**3 + 90 - 244 + 109.\nAnswer: 2*p**3 - 669*p - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**6\/180 - t**5\/20 - t**4\/24 + t**3\/3 + t. Let y(z) be the second derivative of p(z). Is y(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 279*m**2*o**3 + 18159*m**2*o*w**3 - 2*m*o**3*w - 152*m*o**2*w - 23*m - 40*o**2*w**3 - o*w wrt m.\nAnswer: 558*o**3 + 36318*o*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -19. Let k be (-8)\/(-2) + (-55)\/w. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -15, -3*f - 2*h + 53 = -6*h. Suppose 2*b + 23 = 85. Calculate the remainder when b is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14167421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**3 + 3*t**2 - 2*t - 4. Let n(g) = 5*g**3 - 4*g**2 + 3*g + 5. Determine -7*l(q) - 6*n(q).\nAnswer: -2*q**3 + 3*q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -237414*y + 1173986 wrt y.\nAnswer: -237414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*r + 39 = -1, 4*r = 5*x - 50. What is the units digit of (78\/x)\/(1\/255)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1299*b + 7340. Determine z(-5).\nAnswer: 845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.65 from 150.\nAnswer: 151.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/5 - u**4\/12 - u**3\/6 + 2*u. Suppose -15 = 5*o - 0*m - 2*m, 0 = -4*m + 20. Determine w(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 337877\/36858 + -2\/6143. Calculate the common denominator of -145\/12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*c + 16, -c + 4*l + 1 = 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-837))\/((-174)\/(-37428)). Let u = -16\/261 + g. Calculate the common denominator of (-41 + 0)*(-2)\/20 and u.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(325) + 2) + 4)**2 - 1*(sqrt(13) - (0 + sqrt(468) + sqrt(468)) - (sqrt(637) + 1)**2).\nAnswer: 85*sqrt(13) + 3567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r + 12*r - 7*r - 9 + 43 + 32 to the form h + x*r and give h.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 318 and 93386.\nAnswer: 280158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -23. Let b = 33 - d. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6584332 by -1.\nAnswer: -6584332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 95259 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 15*w - 14*w. Let a = 35 + w. Determine x, given that a*x**2 - 18*x - 2\/3*x**3 + 18 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-90)\/8 - -1)\/(2\/(-8)). Let h be (-13)\/((-13)\/(-36)) + -3. Let p = n + h. What is the greatest common divisor of 12 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3 + 8 + 6 - 16. Let x(k) = 4*k + 5. Let f(p) = -9*p - 11. Let q(d) = 2*f(d) + 5*x(d). Calculate -q(l) + 4*u(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f + 5. Suppose -a + 2*p = -5*a + 86, f*a - 85 = 2*p. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (342\/(-15))\/(3\/(-10)). Let r = k + -36. Suppose 5*h - 3*h - 32 = 0. What is the greatest common factor of r and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 11*b**2\/2 + 2*b - 21. Calculate the remainder when z(1) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1866 = -108*k + 186 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -16. Suppose -4*j + 0 + 4 = 0. Suppose -j + 8 = o. What is the remainder when l is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-2))\/(-70)*4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 43884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b + j = 60*b + 108, 4*b + 5*j + 156 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Let y = -55 - -54. Let o = 131 + -135. Put o, a, y, -1\/2 in decreasing order.\nAnswer: a, -1\/2, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6*a = -63. Does 37 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -994626*x**3 + 693639*x**2 wrt x?\nAnswer: -5967756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 24*w + 917. Give j(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/5532 and 5\/96.\nAnswer: 44256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 10*t - 8 = 0. Factor 1132*s**3 - 1130*s**3 + 2*s**t + 2*s**2.\nAnswer: 2*s**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-18) - (-2)\/9. Suppose -4*a - 14 = -3*b, -b - a = -3*a - 6. Solve k = b + y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 392671, 392672, 392673?\n\"Answer: u + 392670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/56317 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27064513*b**2*x**2 + b*x**2 - 2002*b*x + 125*x**2 + 5*x - 17 wrt b?\nAnswer: -54129026*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*h - 7*h - 32 = 0, 2*f - 20 = 3*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 19. Suppose -k = o - 0. Let j(h) = -151*h + 7. Let p be j(o). Round p to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(75)*1 - sqrt(75)) - ((sqrt(75) + 0)*2 + sqrt(75))) + -3 + 1)**2.\nAnswer: -60*sqrt(3) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7078619ml to litres.\nAnswer: 0.0007078619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 9*t + 3. Let k be y(8). Let i(l) = 1676*l + 1675*l - 3346*l + 2*l**2. Let m(p) = p**2 + 3*p. Determine k*i(w) + 8*m(w).\nAnswer: -2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/60 - (-369)\/1764.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61337829317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 141\/9 - (-1)\/3. Suppose 0 = 5*g - k - 9. Solve c + f = -0 - 5, 5*f + g = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920 + 929 = 3*f, -2*a - 3*f = -0*a - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h - 5. Let f(o) = 7*o - 4. Let q = 7 - 0. Let k(j) = q*f(j) - 6*m(j). Let b be k(-2). Solve -8*x + 4*x + 4 = b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 - -4)*(-5)\/(-4)*-1. Calculate the greatest common divisor of 6 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 16 = 0, -f = -2*f - o + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3264*a + 2833154. What is l(-868)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62094 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:50 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00378067 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o + 2 = 0. Suppose -5 = -3*p - 4*r - 34, 4*p - 4*r = 8. What is the nearest to o in p, -1\/2, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 21*v**2 - 39*v + 4. Let t be b(8). Solve -o + 5*s + 8 = t, 3*o + 2*s - 5 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 11. Let g be x(5). Let r be ((-4)\/20*-163)\/(g\/(-5)). What are the prime factors of r\/(-1)*2\/(-2)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 609 divide 1021293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1136, -2366, -3702, -5156, -6740, -8466?\nAnswer: -10346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (25 - (0 + 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2\/3, 5, -0.14, -6609, 2 in decreasing order.\nAnswer: 6, 5, 2, -0.14, -2\/3, -6609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 8*m - 7. Let x = 19 + -13. Is r(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/7 + 250800*l + 19312084\/7.\nAnswer: -4*(l - 438911)*(l + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:17 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**2 - 1 + 1 - o**4 + (-4*o**3 + o**4 + 4*o**3)*(5 - 2 - 1) as x*o**4 + z*o**2 + j*o + h*o**3 + l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (50 - (25 + -28))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 7:49 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5671, 3886, 911, -3254, -8609?\nAnswer: -15154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b3 (base 12) in base 10?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 + 20*z**3 - 24*z**2 - 16*z + 32.\nAnswer: -4*(z - 2)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**4\/3 + 2*x**3\/3 - 5*x. Factor n(q).\nAnswer: 4*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000894 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 3*w**2 + 6*w + 1. Let q be 9\/(-2)*16\/(-6). Suppose q = -2*u + z, -2*u - u + 5*z = 25. What is the tens digit of p(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160) - -2*sqrt(160)*-1 - sqrt(160) - (sqrt(160) + 5*(sqrt(160) + sqrt(160)*-2)))\/(-4*(sqrt(392) + (sqrt(392) - -1*sqrt(392)*-5))).\nAnswer: sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 23*n - 28. Let u be w(17). Let k = u + -69. Which is smaller: 0.01 or k?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26333928 and 5851984.\nAnswer: 52667856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 621?\nAnswer: 18009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12))**29 assuming f is positive.\nAnswer: f**(-348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79610 and 42655?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 122640624.286347.\nAnswer: 122640627.286347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c + 5*g + 46 = 0, 0 = -5*c + 4*g + 146. Suppose -c*l + 200 = -18*l. Solve 8*q = 3*q - l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/20102 and -85\/1482.\nAnswer: 783978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:02 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -57. Calculate the smallest common multiple of o and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1027914 and 18894?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 2794884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*y - 10*y + 10*y)*(3*y - 3*y + 2*y**2)*(2 + 2 - 3).\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/60 + 7*d**4\/24 + 2*d**3\/3 - 48*d**2 - 35*d. Let f(i) be the first derivative of k(i). Determine f(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -47*w. Let q(o) = -276*o - 2. Calculate q(f(r)).\nAnswer: 12972*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 1, y: 1, m: 2}. What is prob of sequence mcd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r + 5. Let t be j(4). Let b be t\/(14\/12)*-4. What is the highest common divisor of b and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i - 23. Calculate h(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-110)\/(-5) + 2\/1. Suppose x = -3*v + a, 2*v + 8 = -2*v. Let y = -29 + x. Solve r + 0 = -y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -7*v**3\/6 - 6*v. Let f(q) = -4*q. Determine f(m(h)).\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3760788830.4+-0.01\nAnswer: -3760788830.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 38, 79, 116, 137, 130, 83, -16?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (14 + 5) - (-2 - (-5 + 2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -19*b - 19. Let m be n(5). Let x = 125 + m. Calculate the remainder when 97 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 22*j**2 + 23*j - 38. Let u = -84 + 105. Let y be i(u). Solve -3*h - h + o = 2, -2*o - y = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + q - 5 + 19, 3*q = -5*s - 22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 + 32 + (25 - 27) - (-2 + 1)) + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p + 1198 = 20*p - 3*u, 2*p - 2391 = u. Suppose -q = -2*l - p, -5*q + 3*l = 8*l - 6020. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 217 + a?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -0.723.\nAnswer: 13.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 84\/(-8)*(-4)\/6. Solve 2*g + 23 = 5*d, g = -2*d + 4*g + v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 - 4.14. Which is the second smallest value? (a) -3\/8 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2242276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*3*(-1 + sqrt(57)\/sqrt(3)) - ((sqrt(152)*2 - sqrt(152) - sqrt(152))*-1)\/(sqrt(8) - 4*-2*sqrt(8) - sqrt(8))))**2.\nAnswer: -4050*sqrt(19) + 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7873999*i**3 + 3245203*i**2?\nAnswer: -47243994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11342 - 5?\nAnswer: 11337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from {i: 11, x: 3, a: 5, k: 1}.\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 610 - -1a8?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*x + 1012*x + 339*x.\nAnswer: 1597*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iri when three letters picked without replacement from haaimraimma?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4636251425.\nAnswer: 5, 13, 14265389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 8. Let k = 4 + z. Suppose p - k = -2*p. Solve -5*h - 20 = 4*j, p*h - 2*h = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8753514 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 6*q - 32*q + q + (-3 + 3*q + 3)*(-1 - 2 + 5).\nAnswer: -19*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77090432 is divided by 49?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**2 + 39105*t + 352188 = 0.\nAnswer: -9, 13044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 182562.012s in days?\nAnswer: 2.11298625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -16 + -16 + 52 - -10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -7. Suppose -r*c = -184 + 49. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(7)*1 - (sqrt(3) - (-1*sqrt(363) - sqrt(363))).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 2*r**3 + 3*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:48 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2567 is divided by 2560.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 256 and 30388000.\nAnswer: 243104000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61 - 5?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 8*f**2 + f + 51. Calculate the lowest common multiple of 102 and u(0).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 29*f + 21 = 0. What is the least common multiple of (f - 5\/(-5)) + 46 + 0 and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/11)\/((-95)\/(-5225)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0038 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:44 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {m: 1, q: 1, d: 1, l: 1, t: 2, o: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9498818 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57386, 57724, 58044, 58340, 58606, 58836, 59024?\nAnswer: 59164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 12 = 0, -3*p + 3*f - 1127 = 856. Let d = p + 781. Is d a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 1:34 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 95. Let f be 33\/3 + (-2 - t). Solve 0 = s - 2*d + 3 - 0, -d + f = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, v: 1, x: 2, k: 4, z: 1, y: 1}. What is prob of picking 2 k and 1 z?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(-2 + sqrt(1053))*6 + 1)**2.\nAnswer: -185328*sqrt(13) + 5479201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2033, 4047, 6047, 8033?\n\"Answer: -7*l**2 + 2035*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21907097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*o - 330*o = -281*o + 27389 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 361 in -1\/10, -0.285, 2, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3316\/37 (b) -2 (c) 3 (d) 3\/7 (e) 18 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (100 - 8) + -2 + 5. Suppose 98 = 3*m + p. Differentiate 598*v**4 - 3 - 636*v**4 + m with respect to v.\nAnswer: -152*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 9. List the prime factors of x(-7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*m + 4. Let i = m - 6. Let h(u) = -u**2 - 6*u + 2. Give h(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6)*(17 - 2). Let 3*m**5 - m**y + m**5 - m**5 + 2*m**4 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-8) + (-60)\/(-24). Suppose -w*u + 5*d + 56 = 0, 3*u + 5*d - 17 = 25. Calculate the remainder when 51 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639926 divided by 301.\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -159*p - 52015. Determine x(-327).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:00 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 50. Let t(p) = 2*p + 101. Determine -5*n(b) + 2*t(b).\nAnswer: -b - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/2 + -2. Which is smaller: d or 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5043425*w = -5043327*w + 4606 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1428582999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.93 - -1.5. Let p = d + -0.37. What is the closest to p in 0.1, 2\/7, -1\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-693)\/(-54))*(-56)\/18.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 2*d - 3. Let z be y(-3). Let t be (-2 - (-21)\/z)*4. Let g be (t - 0)\/(1\/4). Is -3 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-20246))\/(7\/(-28)). Let k = -820211\/627626 - s. Calculate the common denominator of -1 - (526\/(-96) - 8\/6) and k.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.039 - 0.10242.\nAnswer: -0.14142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1632005865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21942351.\nAnswer: 3, 101, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 5*a - 6. Let u be i(6). Let n = -9.3 + 11.3. What is the closest to u in 4, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 8*b**2 - 7*b + 4. Let t be d(7). Suppose 2*g - 38 = -2*u, 2*g = t*g + 3*u - 36. Calculate the remainder when g is divided by -1*6\/3 - -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -7*k**5\/4 - 2*k**4\/3 + 9*k**2\/2 - 1730*k. What is the third derivative of l(j) wrt j?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*f + 3*d - 17, 0 = -3*f + 3*d + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/(((-72)\/6)\/72)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3926?\nAnswer: 2, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - -32a29?\nAnswer: 32a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98619 divided by -463.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.65966 centuries?\nAnswer: 96.5966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*l**3 + 23*l**3 + 503*l**3.\nAnswer: 1421*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/p**(-39)*p*p)))\/p*(p*p\/(p*p*p*p**(-1\/36)))\/p*((p\/(p\/p**(-22)))\/p*p)\/(p**(-43)\/p))**(1\/6) assuming p is positive.\nAnswer: p**(2197\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 139057991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 566420257 to the power of 1\/2, to the nearest integer?\nAnswer: 23800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-11\/7)*x**(-7\/5)*x assuming x is positive.\nAnswer: x**(-34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/23197300 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in nine tenths of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55639 is divided by 296.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2464 + 57?\nAnswer: -240a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 4*r**3 + 0*r**3 + 455*r**2 - 238*r**2 - 217*r**2.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let y(v) = -57497*v. Determine y(n(a)).\nAnswer: 114994*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -6. Let h = -0.9 - -0.6. Let k = 14875 + -14874.6. Sort -2, k, h, w in ascending order.\nAnswer: w, -2, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000604 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297253 and 2013.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -235742.\nAnswer: -47148.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9278.395 rounded to zero decimal places?\nAnswer: 9278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035205.\nAnswer: 5, 207041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61546834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42448.\nAnswer: 2, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 0*y + (y - 5*y + 5*y)*(1 + 1 - 4) - 2*y - y + y + (0 + 3*y + 0)*(-1 + 4 - 2))*(2*y**2 - 4*y**4 - 2*y**2).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125 - 166?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 5 (c) -3 (d) 28405.3 (e) 2 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. What is the units digit of w(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/6 - 2821*n\/6 + 4218 = 0 for n.\nAnswer: 9, 2812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 61*f - 868. Let p = -5 + 29. What is the lowest common multiple of q(-38) and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 13\/151?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268566463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 825 + 323 = -2*o, 4*c + 281 = o. Let i = o + -186. Calculate the greatest common divisor of 25 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 900, 683, 96, -1047, -2932, -5745, -9672?\n\"Answer: -31*t**3 + t**2 - 3*t + 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0 - q**2 + 0*q**3 - 1\/840*q**8 + 0*q + 2\/525*q**7 + 0*q**4 - 1\/300*q**6 + 0*q**5. Let w(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 + 63.3. Let r = 4 + y. Let m = -254.9 + 255. Which is the smallest value? (a) 2\/11 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 25 + 24 = 4*h + 2*c - 37, -c = 0 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4674 divided by -779.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6155483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 0, -6, -46 in ascending order.\nAnswer: -46, -6, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 1:49 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-210)\/(-133))\/10)\/(((-223)\/446)\/(2\/6))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 4*d + 6. Suppose -4*b = -5*l + 35, -15 + 1 = -d*l - 3*b. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**4 + 4*t**3 + 2*t**2 - 4. Let k(z) = -7*z**4 + 5*z**3 + z**2 - 5. Let l(j) = 4*k(j) - 5*x(j). What is the third derivative of l(o) wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*i - i. Let d = i - -12. Let c be (35\/3)\/(d\/18). What is c rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -12 + (-35584)\/(-640). Is 2\/7 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-54*d - 37*d + 23*d).\nAnswer: 136*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*u - 123, -2*u - 84 = 3*o - 1. Let i = -35 - u. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + i)*(8*i - 3*i + i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -18*h. Let d(p) = -11*p - 15. Let r(s) = -39*s - 54. Let m(a) = -18*d(a) + 5*r(a). Give m(f(v)).\nAnswer: -54*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5 = -9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 56, 88, 132, 188, 256?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4181, -16727, -37635, -66905, -104537?\nAnswer: -150531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 3)*(-5*m - 139 + 139) + 324 - 42*m - 324 to r + h*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21221100122111 (base 3) to base 4\nAnswer: 100012010323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 5. Suppose -n - 3 = -w, 4 = -2*w + 5*n + 19. Let t be y(w). Suppose t*z + 0*i - 26 = -i, 4*i + 34 = 3*z. Solve 2*b - z = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 24*v. Let y(x) be the second derivative of x**6\/360 + 3*x**4\/4 + 3*x. Let g(h) be the third derivative of y(h). Determine a(g(p)).\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 + 62*q**2\/3 - 272*q\/3 + 280\/3.\nAnswer: 2*(q - 2)**2*(q + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 167720 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2994 - -7146. Suppose 24*k = 21*k + x. Let d = k + -2404. Round d to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5689, -5700, -5713, -5728, -5745, -5764?\nAnswer: -5785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33228 = 9*m - 5*m. Let u = -11907 - m. Round u to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25804, 25802, 25788, 25756, 25700, 25614, 25492?\n\"Answer: -h**3 + 5*h + 25800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30040706 and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-15) - (-14 - -16)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 14 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**4 + 12*n**3 + 8*n**2 + 5. Let y(k) = 6*k**4 + 2 + 9*k**3 - 3*k**3 + 6*k**2 - 4*k**4 - 2*k**2. Let i(f) = -5*y(f) + 2*z(f). Factor i(d).\nAnswer: -2*d**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 895311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 413107 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 23*m**3\/3 + 55*m**2\/2 - 69*m + 5. Let w(j) = -208*j**2 - 496*j + 620. Let h(u) = -28*i(u) - 3*w(u). Factor h(a).\nAnswer: -4*(a - 1)*(5*a + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.027, 97, -2\/21, 5, -3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - (14 + -37)) + 20\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*y**3 + 5*y + 743 with respect to y.\nAnswer: 84*y**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 292154376?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7621160 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*o + 4. Let f be o*1\/(-8) - (-1084)\/(-16). Let g = 66 + f. Is g greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**7\/70 + 67*y**6\/40 - 97*y**5\/4 + 773*y**4\/8 - 177*y**3 + 2493*y**2. Factor w(f).\nAnswer: -3*(f - 59)*(f - 6)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/12 - h**3\/6 + 13*h**2\/2 - 3*h. What is the remainder when 37 is divided by q(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q - 2*q, -5*d + q + 182 = 0. Solve -f - 1 = -o, -3*f + 2 = 5*o + d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 5*s**3\/6 - 2*s**2 - s. Let o = 21 + -18. Calculate the smallest common multiple of 10 and u(o).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 1 - 1)*(4*p**2 - p**2 - p**2 - 30*p**3) + 3*p**4 - 6*p**4 + p**4 to n*p**2 + c*p + x*p**4 + t*p**3 + b and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2530*n = 2487*n - 8256. Which is smaller: -1343\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/75*-1)\/(376\/(-4700)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1381 divided by 2985\nAnswer: 1381\/2985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4306537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20011 (base 5) to base 13\nAnswer: -758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -57006*o**2. Let s(i) = 6*i**2 + 9. Give s(l(r)).\nAnswer: 19498104216*r**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -12331032?\nAnswer: -12331021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.002 in 0.5, 0, -802?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*r + 21 = 0, -3*t + 2*r + r + 24 = 0. What are the prime factors of (t - (5 - 1))*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -35*v**2 + 1394*v - 3651. What is t(37)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 24*r = -24 + 204 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 1. Let w(t) = 6*t + 9. Let r(m) = 18*k(m) - 2*w(m). Let s(q) be the second derivative of 2*q + 0 + 0*q**2 + 1\/6*q**3. Calculate r(s(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4)*1 + 396\/16. Solve 0 = 5*l + 2*b + t, -3*l - 3*b + 2*b = 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 5*i - 5. Let h be k(-2). Let a be (170\/(-30) - -7)*6\/2. Suppose a*y + 215 = h*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 11 - 27 - 32 - 27 + 15 = 0, 2*o - i - 9 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -18. Let q = 140.38945 - 130.389429. Let j = q + c. Round j to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 4 = -6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547*b + 743*b + 1150*b.\nAnswer: 2440*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 2 = 5*x. What is the smallest common multiple of 24 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 4*a + 3. Suppose 227 = -3*l + 245. Suppose 4*u - l*u + 8 = 0. Let p(h) = h**2 + 5*h + 4. What is u*d(o) - 3*p(o)?\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 8*n + 4. Let w(l) = -11*l - 3. Let z be w(-1). Let t be d(z). Which is the closest to -2\/3? (a) -0.3 (b) t (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163889, 327795, 491715, 655655, 819621?\nAnswer: 983619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**4 + 37*a**3*i + 4*a*i - i wrt a.\nAnswer: 36*a**2 + 222*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Suppose -2*v + 24 = 4*z + 2*v, 6 = m*z - v. Let p(o) = -o**3 + 4*o**2 + 6*o - 6. Is 12 a factor of p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 6, p: 3, o: 3, v: 3, i: 1}. Give prob of sequence vm.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34398 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 42. Which is the third biggest value? (a) -0.3 (b) 0.06 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 442 = -4*i. Which is smaller: -26 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22176012.75 to the nearest 10000.\nAnswer: -22180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 486110 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21387, 21396, 21405, 21414, 21423?\nAnswer: 21432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 1. Let d(p) = 25*p**2 - 1. Determine -d(k) + 2*u(k).\nAnswer: -29*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/30 and 137\/324.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6 - 3*g**3 - 11*g**2 + 9*g + 0*g**3 - 14*g**2 + 20*g**2. Let m(u) = -5*u**3 - 9*u**2 + 17*u - 11. Determine -11*f(t) + 6*m(t).\nAnswer: 3*t**3 + t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7805*t - 12320. Let f(u) = 976*u + 1540. Let y(l) = -6*b(l) - 49*f(l). What is the derivative of y(k) wrt k?\nAnswer: -994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -624.196 plus 4?\nAnswer: -620.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 5*n + 4*d - 5*d, n + 5*d - 7 = 0. Let b = -31 + n. Calculate the smallest common multiple of (1 - b\/(-7))*-14 and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + t**2 - 2 + 2*t. Let g be z(-5). Solve v + 6*d - d = g, -2*d + 12 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 15*n**2 + 19*n**2 + 6*n - 6*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/45? (a) -1.4 (b) -3\/2 (c) 2 (d) 0.1 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3810 - 1830. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5800 + -459. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 714307336 to the power of 1\/3, to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/180)\/((-355)\/(-1278)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1175193956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**6\/30 + x**5\/120 - x**3 + 1. Let w(s) be the third derivative of a(s). What are the prime factors of w(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159 - 537 + 402 - 2111 - 2*c)*(4 - 4 - 1)*(3 + 0 - 5).\nAnswer: -4*c - 4174","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 484050 and 1012200.\nAnswer: 466624200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5945868*p**4 - 5626296 wrt p?\nAnswer: -23783472*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.23 - -0.13. Let i = a + 0.1. Let c = i - -1.2. Sort 0.5, c, 5\/4 in descending order.\nAnswer: 5\/4, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/15 - (-3)\/(-15). Suppose -4*x = -d*x + 4*a - 10, 0 = -5*x + 3*a + 25. Let s be 2\/(-8) - (-39)\/12. Solve h - x*n + 22 = 0, 2*n = s*h + 2 - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6*s - 8. Suppose 3*h - 7 = s. Let a(f) = 2*f**3 + f. Let o(c) = c**2 - c. Let x(j) = h*a(j) + 3*o(j). What is the third derivative of x(k) wrt k?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -z - i, 0*i = -5*z + i + 45. Suppose 0 = -a + 1 + z. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28987279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 185511, 1\/9, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15994277*f**4 + 867379535*f**2?\nAnswer: -383862648*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/37456 and 37\/824.\nAnswer: 3857968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - 2*u**2 + 3*u**2)*(0 + 5 - 3)*(4 - 1 - 9).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 5*j - 473*s + 472*s, -6 = -3*s for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1031 = 9*i - 751. Let g be (-1)\/(-2)*-2 - -19. Calculate the highest common factor of i and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -26*d**4\/11 + 56834*d**3\/11 + 61258*d**2\/11 - 48090*d\/11 - 52488\/11 = 0?\nAnswer: -1, 12\/13, 2187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11042?\nAnswer: 2, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k - 3. Let j(r) = r + 1. Calculate a(v) - 3*j(v).\nAnswer: -7*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40331900107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 4:05 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-151 - -133) + -2 + -11 - -14) + -47?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**4)\/b*b**6\/b*b*b*b**(-3)*b*(((b**(-1)\/b*b)\/b)\/b)\/b*b)**(-1\/52))**(-1\/10) assuming b is positive.\nAnswer: b**(-1\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3011*j**2 - 773*j**2 + 98 + 112 - 210.\nAnswer: 2238*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20573551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(175) + 0).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 93.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 8*p**2 + 59*p + 53. Is t(-26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*n + 810 = 117*n - 2160 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -267 divided by 619?\nAnswer: -267\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-70) + 12\/(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3539753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741263?\nAnswer: 463, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3*s + 3 = 0, 2*r - 4*s = 76 - 72 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-1 - -11 - (-34 + 39)) + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0*v - 7\/6*v**3 + 0 + 0*v**4 + 0*v**5 - 1\/30*v**7 + 0*v**6 + 6*v**2. Find the first derivative of s(o) wrt o.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 13*g**3\/2 - 266*g - 14. Let f(y) = 8*y + 14. Let i(m) = -3*m - 5. Let p(l) = 5*f(l) + 14*i(l). What is p(x(c))?\nAnswer: -78*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 - 3)*(4 - 2 + 0) + 2 + 0 - 1 - 1 - 1 + 0 + 1 - 2 + 3)*(4*f - 2*f - 12*f) in the form g + v*f and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 3*l - 3. Give h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1050 divided by 175\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -200*c - 1. Let v(x) = -4*x**2. Determine p(v(z)).\nAnswer: 800*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 10482070 and 10482093 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y - 16. Calculate the smallest common multiple of f(-11) and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1\/g**(8\/3)*((g**(-1\/2)*g)\/g)**(-2\/13) assuming g is positive.\nAnswer: g**(-62\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*(8 - 8 - 16*r)*(r**3 - r + r) + 7*r - 7*r - 3*r**4 to p*r**2 + d*r**4 + z*r**3 + o*r + u and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = 4*q - 6, q = 3*u - 6. Let b = 4 - 2. Let w = 1 + b. Solve w*d = -q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 8. Suppose -34 - 66 = -4*l. Let m be 60\/l - (-3)\/5. Solve -m*c - 1 = -a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5256\/168192)\/((-1)\/16*-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3840)\/8000*(-14875)\/70.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/6 + (-3)\/9. Suppose -4*f = y*k - 3, 0*k - 3*f + 11 = 4*k. Let s = k - 4. Solve s = 4*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.198 - -22.388. Round j to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173 + -383. What are the prime factors of 1223\/2 + c\/84?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -434285, -434271, -434255, -434237?\n\"Answer: y**2 + 11*y - 434297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/18)\/((-1)\/66)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 671*p**3 + 6*p**2 + 31427*p wrt p.\nAnswer: 4026*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 4*f - 84 = -29*a, 3*a - 300 = 4*f. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, z: 3, l: 6}. Give prob of sequence zlxl.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -22 - 18. Let y = o + -6. Calculate the greatest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1833 = 143*b - 2*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-6))\/(13\/351). Calculate the greatest common divisor of h and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*l - 300*l - 4954567*l**3.\nAnswer: -4954567*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.03 + -0.03. Let v = -0.053 - 0.147. Sort p, -3\/7, -5, v.\nAnswer: -5, -3\/7, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -203 + 4*k**2 + 6*k**2 + 200 + (-3*k**2 - 11*k**2 + k**2)*(3 + 0 - 1) - 2*k**2 - 3 + 3.\nAnswer: -18*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115795 is divided by 9645.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h + 19480000 = 0. What is h rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 1. Let l(m) = -199*m. Calculate c(l(g)).\nAnswer: -199*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -159395 + -56?\nAnswer: -159451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/22)\/(63\/(-462)). Suppose -3*x + 3 - 15 = 0. Does q = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35261855, 35261859, 35261865, 35261873, 35261883, 35261895, 35261909?\nAnswer: 35261925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.004, 0.39, -0.1, 3\/2, 4 in descending order.\nAnswer: 4, 3\/2, 0.39, 0.004, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.25797ml in litres?\nAnswer: 0.02025797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*s + 285*s = -390. What is the greatest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -6. Let o be q - -3 - (-2 - -3203). What is o rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*9\/3)\/((-3)\/(-96))*(-358)\/(-716).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -280.834 + 280.8. What is the closest to -0.2 in j, 2\/7, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.466*-3\nAnswer: 1.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 11:25 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 8:45 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r + 23438 = 23816 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46020 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4961 divided by 41?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1463375 and -57\/4301.\nAnswer: 273651125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -813, 4, -4819?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -7044764898.\nAnswer: -7044764898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1.01. Let j = 0.99 - a. Let m = -2 + j. Is m less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110580 or 110579?\nAnswer: 110580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-444)\/185)\/(0 + (-2)\/5). Let m be (-35)\/(-11) + n\/(-33). Let l(r) = 2*r**2 - 5*r + 3. Give l(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50*(-17)\/(-340)*12\/(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24184?\nAnswer: 2, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -4. Let s = -1154 + 1186. Calculate the remainder when s is divided by z + (3 - 1) + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 3\/2, -2\/7, -1\/2, 90\/11, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-123*w + 124*w - 34 - 29*w)*(-2 - 4 + 4 + (1 - 1 + 2)*(-3 - 1 + 2)) as r + g*w and give g.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -12, -28, -60, -114?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4104641 > -4104645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2. Let u(m) be the third derivative of -193*m**5\/20 - 351*m**2. Calculate u(w(q)).\nAnswer: -2316*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 287\/(-246)*(-1)\/7. Which is the nearest to -2\/7? (a) d (b) -3\/4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = -0*l - 5*l. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 (base 15) in base 2?\nAnswer: 1011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.8 + -11.3. What is the third smallest value in w, -51, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 2755458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 76c42 (base 13) to base 11\nAnswer: 137749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -91 + 343. Let i = c - -295\/7. What is the third smallest value in i, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 4*a**2 - 3*a + 3. Let i be d(-3). Suppose -4*r - 4*l - 116 = 0, 0 = r + i*l + 10 + 21. Is r\/(-7)*(-1006)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -485.5 + 363. Let w = j + 197. Round w to the nearest integer.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1203?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5010 or -5179?\nAnswer: -5179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216 + 216 + 135*x to h + m*x and give m.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 85 = 2*o, -123 - 123 = 3*a + 3*o. Let i = a + 56. Calculate the remainder when 51 is divided by (-9)\/(i\/(-12)) - -17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2915094 by -13.\nAnswer: 224238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1590 + 2*y**2 - 1590.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.0767 = 16\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n - 7*n**3 - 56 + 56 wrt n?\nAnswer: -42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1437104 * 0.13\nAnswer: 0.018682352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 3. Let g be v(2). Let k be 5\/g*(-2)\/(-5). Let u(h) = -h + 4. Give u(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-79)\/(3318\/(-945)) - 25)\/(1\/((-424)\/10))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.4328715ns to days.\nAnswer: 0.00000000000007445453125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-29)\/2 - 2). Suppose -2*s - 34 + 0 = 0. Let n = -16 - s. Is k less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:10 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -12. Put -5, q, -8 in increasing order.\nAnswer: -8, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16575, 66264, 149087, 265050, 414159, 596420?\nAnswer: 811839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Let x be u(-1). Suppose -x = -3*t - 3*k + 17, 4*t - 2*k = 6. Suppose t*a = -a + 1996. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:44 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45715\/1017 - 4866\/113. What is the common denominator of 226\/108 + 0 - 1 and z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 951 and 20250?\nAnswer: 6419250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -24*z + 16. Let i be r(-4). Suppose -4*s + v = s - 286, 2*s + 2*v = i. What is the highest common factor of s and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + q = -57, -22 - 49 = -5*a + q. Suppose x + x = -t + 7, -4*t + a = x. Let z(w) = w**2 - 3*w + 4. What is the remainder when z(3) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and -7211\/723 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g\/(g\/g**(-2\/21)))))\/(g**(-3\/2)*g*g)*(g*g\/(g\/g**(1\/13)))\/(g*g*g\/(g\/(g*g*g\/g**(2\/5)))))**(-12\/19) assuming g is positive.\nAnswer: g**(17026\/8645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2532 + 1061?\nAnswer: 3623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1464760500 to the nearest integer?\nAnswer: 38272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1066\/7 + -152. Suppose -m - 3*m = 5*n + 20, -3*n - 12 = -4*m. What is the nearest to m in r, 3\/7, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 25*v**4\/4 - v**3\/3 + 211*v**2\/2 + 254. What is the second derivative of d(x) wrt x?\nAnswer: 150*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 998*g**4 - 2*g**3 - 29*g**2 + 310353*g.\nAnswer: 11976*g**2 - 12*g - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 24 = -25*n. Suppose -16 = -s + 5*r - 1, 5*s = n*r + 75. Solve -s*y = -10*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25233*v**2 + 3*v - 25228*v**2 - v - 2*v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13284 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1070.0649 to 0 dps.\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**3 - p**2 + p + 1. Suppose -5 + 8 = -3*d. Let a be s(d). Let l be -3 + a\/((-1)\/1). Solve 0 = q + l - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5284579 take away -0.5699?\nAnswer: 5284579.5699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/15)*t*t**(-4)\/t)\/(t**6\/t*(t\/(t*t\/(t\/(t\/(t\/(t\/(t\/(t**(-4\/9)*t)))*t)))))\/t) assuming t is positive.\nAnswer: t**(-374\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-2)*3\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656632 is divided by 93713.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(-4*(sqrt(10) - -2*sqrt(10))).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 21\/(-54)*2. Suppose 0*y = 2*y - 14. Suppose m = -1 + 4, 4*r - m + y = 0. Is k at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1249, 1259, 1269?\nAnswer: 1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Is (-2)\/(6\/(-27)) + a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 3*u - 2. Let i be m(-3). Let k(q) = q**3 + 3*q**2 - 2. Let o be k(i). Is (11 + -5)\/(o\/12) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9348613 litres to millilitres.\nAnswer: 934.8613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -11*z. Let q(u) be the first derivative of u**2\/2 - 22. Let j(r) = -4*r. Let f(v) = -j(v) - 6*q(v). Determine f(g(n)).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x - 12. Let g be m(2). Is -21 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.07, 0.1, 0.6, -4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36341266 (base 8) to base 9.\nAnswer: 16012075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210093168 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/19, -37, 0.3, -1\/6.\nAnswer: -37, -1\/6, -2\/19, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 444, 626, 884, 1260, 1796, 2534, 3516, 4784?\n\"Answer: 7*w**3 - 4*w**2 + 145*w + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467.0359 nanoseconds to milliseconds.\nAnswer: 0.0004670359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5727*t + 5755. Calculate q(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -0.123425.\nAnswer: -5.876575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y = 8*y + 2832. What is the highest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/11 - -36\/55. Suppose 4*k - 2 = 5*k - g, 4*k + g = -8. What is the closest to k in -19, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6) + (-6 - (-14 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-70)\/(-14) - 148\/(-1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 2*q + 3. Let p(x) = -3*x**2 + 5*x - 7. Let a(r) = -10*g(r) - 6*p(r). Let l be a(-6). Solve l = 3*m - 8*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -14*(-4 + (-14)\/(-4)). Let o = 6 - 16. Let s = -6 - o. Let v(r) = -3*r - 3. Let d(m) = 5*m + 5. Determine a*v(g) + s*d(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 3, y: 2, a: 1}. What is prob of sequence oyt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h. Let r(o) = -61*o**2 - 1. Determine b(r(c)).\nAnswer: 427*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {i: 1, e: 1, c: 10, h: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62708*q**3 + 752498*q**2 + 24*q = 0. What is q?\nAnswer: -12, -1\/31354, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 8313.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9849, 19703, 29557?\n\"Answer: 9854*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**5\/30 - 3*f**4\/8 + 8*f**3\/3 + 55*f**2. Differentiate w(j) with respect to j.\nAnswer: 4*j - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p + 6 = 0. Let f = -56 + 60. Sort f, p, -0.5.\nAnswer: -0.5, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/518 + 533\/7770. Let l(o) be the first derivative of -r*o**5 - 2\/3*o + 1\/3*o**3 + 1 - 1\/12*o**4 + 1\/6*o**2. Factor l(i).\nAnswer: -(i - 1)**2*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 9, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.8 (b) -1\/6 (c) -0.091 (d) -13\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b = -4*r - 20*b + 36, b = -2*r - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 135850 to the nearest 1000.\nAnswer: 136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 76?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-8))\/((-2)\/4). Let p(j) = 2*j**3 + j - 1. Let q be p(s). Solve 21*n**4 + 48*n**3 + 33*n**q + 3*n + 3*n + 0*n = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -447.5404 to one decimal place.\nAnswer: -447.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*a - 58 = 0, -3*i = 21*a - 17*a + 34 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/753?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9820*v - 20. Calculate x(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -23*t + 4. Let z(i) = 93*i - 15. Let c(h) = 15*d(h) + 4*z(h). Let y(n) = -212*n + 106*n + 105*n. What is y(c(f))?\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x + 11. Let s(h) = -5*h + 11. Let i(m) = 6*d(m) - 5*s(m). Let y be i(-11). Suppose y = -11*k + 2*k + 855. What are the prime factors of k?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 5, 3, -109 in increasing order.\nAnswer: -109, 2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10007 is divided by 4972?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*d**4 + 1146389*d**2*v - d*v - 14*d - 12*v + 1003 wrt d?\nAnswer: 588*d**2 + 2292778*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 19, 1\/6, 0.1 in decreasing order.\nAnswer: 19, 1\/6, 0.1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 - -1.52. Let i = b + -2.82. Sort -2, -2\/5, i in decreasing order.\nAnswer: -2\/5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6316413 - -1829.1204587. Let q = 1846.26 - y. Let i = q - 15.5. Round i to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 16362 + 49420 = 4*u, -u + 4*y = -8251. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1243521625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 5*z - 4. Let v be n(6). Suppose -v*f + 12 = -f. Let b = f + -5. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - g - 407. Give p(14).\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*w - 21, 5*x - 22*w - 18 = -21*w. Solve -x*v = -9 + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/95 and -52\/57.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2. Let s be 4\/(-10) - (-312)\/130. Let t be (-16)\/(3\/2 - s). Let p(w) = -t*w - 9 - 13 + 21. Calculate g(p(x)).\nAnswer: 2048*x**2 + 128*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(8\/(-12) - (-14)\/12). Let a = 314 + -218. Calculate the greatest common divisor of c and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 5*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570611 - 518698 = -53*h. List the prime factors of h.\nAnswer: 3, 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 5*c**2 + 4*c + 2. Let w be u(-3). Let d(m) be the second derivative of -m**4\/12 + 4*m**3\/3 + m**2\/2 + m. What is the units digit of d(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g*g\/(g\/g**(1\/3))*g)**29\/(g\/(g*g**(-2\/7)*g*g)*g\/(g\/(g\/(g\/(g*g*g**5))))))**(-4\/3))**(-17) assuming g is positive.\nAnswer: g**(213316\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.08 - -2.5. Let c = -6.72 + w. Let g = c - -1.3. Put -4, g, 2\/5 in increasing order.\nAnswer: g, -4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 13. Let x(r) = 2*r - 14. Let n(o) = -3*q(o) - 4*x(o). Let w be n(5). Suppose -110 = -w*t + 5*t. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, 1, -5 in decreasing order.\nAnswer: 17, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -13. Suppose 7 = 2*l + u, -3*u + 28 - 10 = o*l. What is the smallest common multiple of 4 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385*g**2 + g - 400?\nAnswer: -770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 15. Let y be ((-4)\/6*-3)\/(32\/112). Suppose 37 = -y*f + 9. Sort f, p, -5.\nAnswer: -5, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 960 = -10*w. Let p = -75 + w. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111111010111011 (base 2) to base 5.\nAnswer: 22240113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -482 - -451. Let v(y) = 2*y**2 + 69*y + 212. Let s be v(i). Let q = 193\/520 + 3\/104. Which is the biggest value? (a) q (b) s (c) -2\/147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2472 and 41\/19276.\nAnswer: 11912568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 12*k + 16. Let l(w) = 5*w + 1. Let r be l(2). Let y be s(r). Suppose 0 = y*f - 0*f - 2215. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**2 + 179 - 715 + 179 + 179 + 178.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364116\/(190\/10) - 6?\nAnswer: 2, 3, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/132096 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -47*r**2 + 17*r + 14. Let l be c(-7). Let g = l - -4414. Let s = g + -1171. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 859018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -829, -1004, -1191, -1396, -1625, -1884, -2179?\n\"Answer: -w**3 - 168*w - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(-5 + 2 + 0 + sqrt(147) - (sqrt(147) + sqrt(147)*2*6 - (sqrt(147) + -1 + -5))).\nAnswer: -154*sqrt(3) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-7)*b)\/b)\/b**(2\/13))**(-37)*(b**(-2\/15)*b**(-2\/7))\/(b\/(b\/(b*b\/(b*b*b**(-5)*b)))*b\/b**3) assuming b is positive.\nAnswer: b**(358003\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268a (base 11) in base 4?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3395.\nAnswer: 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 21 + 23 + 23*b - 4*b.\nAnswer: 19*b - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/25))**37\/((x*x\/(x\/x**(-2\/9)))\/(x*x**(1\/6))) assuming x is positive.\nAnswer: x**(1507\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 181 = -5*c - 264, -c - 2*z = 96. Let r = -776\/9 - c. Let y = -5 + 4.7. Sort 0, 3, r, y in descending order.\nAnswer: 3, 0, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 571*h**2 - 6719*h + 6032. Give m(559).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2852\/27 - 106. Let j = d - -133\/432. Let q = -1407\/2 + 689. Find the common denominator of q and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 4361186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 2759*g**3 + 1359*g**3 + 1365*g**3 - 3*g**2.\nAnswer: -35*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*r + 637*r - 1284*r.\nAnswer: -206*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-15 - (-10 - 30 - -30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + 17*o + 9. Let g(z) = z**3 - 8*z - 4. What is 2*d(k) + 5*g(k)?\nAnswer: k**3 - 6*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 90*b**2 - 2*b + 92*b**2 + 3)*(13*b + 8 - 11 + 0*b).\nAnswer: 26*b**3 - 32*b**2 - 20*b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 13*p**5\/60 - 13*p**4\/24 - 490*p**3\/3 + 37*p**2 + 4. Differentiate r(i) wrt i.\nAnswer: 26*i - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 49.6 + -50. What is the nearest to 4 in c, 1\/2, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.940226595 - 0.1?\nAnswer: -1.040226595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 943.299988 rounded to 2 dps?\nAnswer: 943.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzzzzziizzzzz. Give prob of picking 2 z.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5967 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619065.\nAnswer: 3, 5, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -4, 17, 1\/55, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -45 - (50 - 8 - 87)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18037\/2393104 - 4\/6503. Let w = o + 8865\/4048. Factor -26\/11*k**2 - 8\/11 - 2\/11*k**4 + 12\/11*k**3 + w*k.\nAnswer: -2*(k - 2)**2*(k - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.626441356 rounded to 2 dps?\nAnswer: -1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 3*s**2 + s - 4. Let u be p(-3). Suppose -u = a - 6*a. Solve a*t = 5 - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/23)*o**(-6))\/(o*o**(3\/2))**(7\/8) assuming o is positive.\nAnswer: o**(-2981\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - c - 20. What is y(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 1.257 (c) 4 (d) -9 (e) 2\/7 (f) -5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62825*h = x - 62821*h + 15, 5*h = 4*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 33 - 7 = 0. Suppose 2*u - 2 - 10 = -3*x, -4*u = -2*x - a. Suppose u = 5*o - 46. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*f**2*k**2 + 78*f**2*k + 20*f**2 + 4*f*k**2 - 38*f wrt k?\nAnswer: -10*f**2*k + 78*f**2 + 8*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*p + z, 4 + 0 = 2*p - 4*z. Let s(c) = -162*c - 6628. Let o be s(-41). Solve -o = -6*m + p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 45848, 1 in increasing order.\nAnswer: -5, 1, 45848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 20. Let x be p(-8). Suppose x*w - 1079 - 252 = -5*o, 5*o = -w + 329. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5154*b + 33. Let c(i) = -1031*i + 6. Calculate 11*c(z) - 2*f(z).\nAnswer: -1033*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001243891 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let a be (2 - 2\/1)\/(-1). Suppose a*d = -3*d. Let j be m(d). Solve 3*q + 0*q - 12 = j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. Let v(q) = q + 1. Let r be v(y). What is the highest common divisor of r and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(-5*n**3 + 2*n**3 - n**3) - n**3 - n**3 + 125*n - 130*n in the form h*n**3 + l*n + u*n**2 + d and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c - 9*c)*(18*c - 18 + 18)*(1 + 3 - 2).\nAnswer: -324*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -676 + 675. Let s be 31648\/2760 + x\/((-6)\/(-4)). Find z such that -3\/5*z**4 - s*z**2 - 21\/5*z**3 - 12*z - 24\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2000*h + 346. Is o(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-1*sqrt(104) - sqrt(104))*3 - (sqrt(104)*-1 - sqrt(104) - sqrt(104))*-6)\/(sqrt(1152) + sqrt(1152)*2 - sqrt(1152)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**3 + 4*u**2 + 43*u - 4. Let h(m) = -5*m**3 - 5*m**2 - 48*m + 2. Calculate 3*h(c) + 4*p(c).\nAnswer: c**3 + c**2 + 28*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 606 - 654. Put -9, f, -1 in decreasing order.\nAnswer: -1, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-31) + (-9 - (-25542)\/4774 - 0)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 345\/1599563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 8*k**2 - 7*k - 12. Let d be j(9). Suppose -33 = -3*f + d. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -10*d**3 - 36*d**2 - 4*d. Let u(w) = -10*w**3 - 35*w**2 - 3*w. Calculate -4*h(x) + 5*u(x).\nAnswer: -10*x**3 - 31*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000000020 - -12?\nAnswer: 10000000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -634540 (base 7) in base 14?\nAnswer: -2bd90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 3*k**4\/4 + k**3\/6 + k**2 + k. Let c be j(-1). Let g be (-12)\/(-9) - c\/(-6). Solve g*w = -w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 3 = 15*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/12 + 5*l**3\/6 + 2*l. Let a be o(-5). Let s(r) = -3*r - 4 + a + r. Let p(g) = -5*g - 11. What is 3*p(h) - 8*s(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9937)\/(-5230) + -2 + 1*2\/(-8).\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -1. Suppose -15 = -y*h + 5. What is the highest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 4*g**2 - 2*g + 9. Let d be t(-3). Calculate the greatest common factor of d and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from nnnuuuununuugg.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 8, -5, 14 in descending order.\nAnswer: 14, 8, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50286665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42175 divided by -11181.\nAnswer: -42175\/11181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*sqrt(637) + -3 - (sqrt(637) - (sqrt(637) + (sqrt(637) - (1 + sqrt(637) + (sqrt(637) - (-1 + sqrt(637))))))))**2 + -1.\nAnswer: -10218 - 280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**2 + 3. Let a(m) = 7*m**2 - 3. Let r(o) = 2*a(o) + 3*d(o). Let p(b) = 16*b**2 - 7. Let f(i) = 4*p(i) + 9*r(i). Let j(w) = w**2. What is j(f(g))?\nAnswer: g**4 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, m: 2, z: 4, b: 2}. What is prob of picking 2 z, 1 b, and 1 m?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-1554725)\/(-10))\/(-5))\/((-5)\/10). Suppose -2*r - 12866 = 3*m - d, 0 = -3*m - 5*r + 49332. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/30 + a**3\/3 + 192*a**2. Suppose 0 = -0*u - 4*u + 8. What is f(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:08 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17232845 to the nearest integer?\nAnswer: 4151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 45. What is the highest common factor of o and 246?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**4\/4 + 483*r**3\/4 + 4803*r**2\/2 - 11063*r + 11550 = 0.\nAnswer: -462, -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 154, 2 in increasing order.\nAnswer: -8, 2, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**2 - 5*u. Let a(x) = -11*x**2 + 6*x. Calculate 5*a(i) + 6*q(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4305558 * -0.055\nAnswer: 0.023680569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1125 (base 7) in base 9?\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, and 1 n when three letters picked without replacement from {s: 5, i: 1, c: 1, x: 9, n: 2}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1751938 - -1752056.0473. Let i = n - 118. Round i to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -126*b. Let s(p) = p**2 + p - 1146. Calculate d(s(k)).\nAnswer: -126*k**2 - 126*k + 144396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 16823 - 16823 - 51*w + 3*w**2 in the form y*w**2 + n*w + r and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + 66. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/2 + 1\/(-1). Let d(r) = -3*r**2 - r. Let c(f) = -16*f**2 - 6*f. Determine u*d(i) + 2*c(i).\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 8. Let u = 895.5 - 896. Which is the nearest to 2\/9? (a) z (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(99) - (sqrt(99) - sqrt(99)*2)) + 1 - (sqrt(99) + -1 + sqrt(99) + 4 - (2 + sqrt(99) + (sqrt(99) - (sqrt(99) - (-2 + sqrt(99)))))))**2.\nAnswer: -12*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*j = -67. Suppose -j - 56 = -3*i. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237948 divided by -39658.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 347 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -471.3?\nAnswer: 471.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*2\/(-4)*(105\/(-3))\/(-5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -264*i*j**3*r + 910*i*r**2 - 917*j**3*r - j*r**2 - 6*j*r wrt i?\nAnswer: -264*j**3*r + 910*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 2*x**4 + x**4)*(-2*x - x + 0*x) - 3*x**5 - 2*x**5 - 16*x**2 + 22*x**2 + (2*x**4 + 2*x**5 - 2*x**4)*(-1 + 5 - 2) + 2*x**5 + 0*x**2 + 0*x**2.\nAnswer: -5*x**5 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - 4.5.\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, u: 3, d: 3, k: 2}. Give prob of picking 1 e, 1 u, and 2 k.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(3 - -9 - 9). Let g(k) be the second derivative of 0 + 5\/4*k**4 - 5*k + 1\/4*k**5 + 0*k**2 + 5\/3*k**v. Factor g(y).\nAnswer: 5*y*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.261 + 0.598. Let n = -0.6630279 - x. Round n to 6 dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.849 rounded to 1 dp?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 6*g**2 + g + 5. Let c(s) = 3*s**3 - 13*s**2 + 2*s + 11. Give 4*c(k) - 9*l(k).\nAnswer: 3*k**3 + 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 0*x = -11*x + 8*x - 12, 9*l + 5*x + 76 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from ydkydylldy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237940.9 milliseconds to nanoseconds.\nAnswer: 237940900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 53667 = h - 53668, 3*h + 6 = -3*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 2*r - 2. Let q(z) = -2*z**2 + 7*z - 7. Let g(x) = 2*q(x) - 7*w(x). Let j(s) = 5*s. What is j(g(n))?\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 405*o**2*s**2 + 23179*o*s - 86*s**2 + s + 8923 wrt o?\nAnswer: 810*o*s**2 + 23179*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85046031 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*j**5 + 1095*j**4 - 145850*j**3 + 2518000*j**2 - 1683360*j - 689920 = 0. Calculate j.\nAnswer: -88, -2\/7, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 9*j**2 - 4*j + 6. Let x = -102 + 93. What is the remainder when 81 is divided by t(x)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/6347230 and 21\/10?\nAnswer: 6347230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1, -1\/4, -11, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, 0.3, -1, 0.002 in increasing order.\nAnswer: -1, 0.002, 0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 775, 1568, 2385, 3226, 4091, 4980, 5893?\nAnswer: 6830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/15 or -0.064?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -s - 103, -28*k + 29*k = 2*s + 2 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 - 32*k - 6. Let q be o(-5). Suppose 0 = 6*n - q*n - v, -n = 3*v - 7. Solve -2*y = 8*c - 3*c - 23, -5*c = -4*y + n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7650 by 10.\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 883*h**2 - 18987*h + 71. Give m(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from mamoafm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/3 + 5 + -3. Suppose -3*z = c*z - 10. Suppose -y = -2*y + z. Solve 0 = y*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29508 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80))*-6 - (sqrt(15)\/sqrt(3) + -2 + 5)**2.\nAnswer: -30*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2. Let y = -0.688 + 0.188. Which is the nearest to -1? (a) z (b) y (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5786)\/3156*((-36)\/22)\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02612 + 317.4.\nAnswer: 317.42612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 1 + 4 - sqrt(1584) - sqrt(1584))**2*5.\nAnswer: -600*sqrt(11) + 8045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/2249 + 6715\/17992. Let n = -2 + 2.2. Which is the nearest to n? (a) -0.3 (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**3 - 4*m**2 - 8*m - 2. Let p(i) = 2*i**3 + 2*i**2 + 4*i + 1. Calculate -3*k(n) - 7*p(n).\nAnswer: n**3 - 2*n**2 - 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(54\/(-12)) + -1. Let z be -4*4\/4 - n*-22. What is the greatest common divisor of 90 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56\/(-6)*132\/(-154). Let z be (-2)\/j + (-28)\/(-48). Let o = 0.02 - 3.02. Which is the smallest value? (a) o (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and 2755.3.\nAnswer: -96435.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7869 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 286921.\nAnswer: 4\/286921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -551532732*j - 16447432 wrt j.\nAnswer: -551532732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 21. Put 2, -16, h in ascending order.\nAnswer: -16, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2 + 3. Let k = 7 + -3. Let j = -777.24 + 766.24. Which is the nearest to j? (a) 2 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1108383 by -103.\nAnswer: 10761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39120 and 146700.\nAnswer: 586800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 15. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*n**2 - 66*n**4 + 30*n**2 + 15*n**2 wrt n.\nAnswer: -1584*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9842 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6435, -12839, -19215, -25563, -31883?\nAnswer: -38175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -42*n - 9*n + 49*n - 285 - 11*n - 13*n. Calculate l(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -20 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (471812\/220)\/((0 - -2)\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 11*y - 11*y)*(-3 + 3 - y).\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1101 and -3?\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.0025636\nAnswer: 0.0012818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-593 - 3013 + 492)*(-o - 3*o**2 + o).\nAnswer: 9342*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6538\/7293 - 24\/221. Find the common denominator of -5 + -4 + 147\/27 and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*x - 13 = -0*l, -11 = 3*l + 2*x. Which is bigger: l or -2.6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29\/2 + 14. Let b = -2255\/273 - -108\/13. Let r = 5\/7 - b. What is the third biggest value in 0.4, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1804 and 27\/1640.\nAnswer: 18040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 11*r. Suppose -j - 49827 + 8827 = r. Round j to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 27*f = 201 + 399 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129552?\nAnswer: 2, 3, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 277820237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3 (c) 2\/1323 (d) -1\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 562*v + 3752*v**2 - 6987345*v**3 + 539*v + 6987347*v**3 wrt v.\nAnswer: 12*v + 7504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24224 (base 7) to base 5.\nAnswer: -200130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470190061 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 7*b - 7. Let s be u(7). Suppose 0*x - 3 = -x, -4*p - x + s = 0. What is the lowest common multiple of (1 - -10)\/(2\/4) and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 12:40 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-24 + 24 - 5) + 35)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657242 to the power of 1\/2, to the nearest integer?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -19, -68, -157, -292, -479, -724?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260)*1)\/sqrt(5) + -5*(sqrt(112)*-1)**2.\nAnswer: -560 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1167639858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 8*b + 3. Let s be w(8). Suppose -4*k - 30 = -5*a, 2*k = 2*a - s*a - 8. Suppose -n - 1 = -a. Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65814.95 litres?\nAnswer: 65814950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -1806\/9973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olqrm. Give prob of picking 1 r and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skktkfkt. What is prob of sequence tsf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 112 = -2*v - 8*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -4. Let m be ((-8)\/q)\/(3\/9). Solve -l - m = 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 18 - 7)*(15 - 2 - 2)*(u - 2*u + 5*u) in the form z*u + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -3 - -4 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6598930 and 18?\nAnswer: 59390370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*r - 15 = 332*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72421\/15*(8 + 7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2*u - 5)*(0 + 1 + 0)*(0 + 3 - 2) + 47 - 52*u - 78 + 32 in the form s + m*u and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2680.107 - -2715.10683. Let j = -35 + b. What is j rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2760238 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63720215 and 161317.\nAnswer: 63720215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1105018 and 906.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p + 18, -2*p + 36 - 18 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**3 - w**2 + 1. Let t be h(1). Let i(g) = 3*g**2 + 4*g + 3. Let y be i(-2). Suppose -50 = -t*u + y. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-1) + -2 + (6 - 8). Let g = -39 - k. Let n(v) = -v**2 - 5*v + 3. What is n(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1594 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 p, and 1 e when three letters picked without replacement from {p: 6, l: 1, c: 1, e: 4, g: 1, w: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -43, -65, -85, -103, -119?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(504) - (sqrt(504) + sqrt(504) + -5*1*sqrt(504) + sqrt(504)))\/(5*(sqrt(32)*3 - sqrt(32))*5).\nAnswer: 3*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1101245, 2202485, 3303719, 4404947, 5506169, 6607385, 7708595?\nAnswer: 8809799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -703\/3 smaller than -234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.119 times -0.555471\nAnswer: -0.066101049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9796, 19612, 29428, 39244?\nAnswer: 49060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**3 - 62*l + 190*l**2 - 80*l + 143*l.\nAnswer: -16*l**3 + 190*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 16. Determine i(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 32*g**2 - 1136*g + 242. Determine n(35).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v - 485 = -43 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.31 - 6.997. Let h = s - 1.313. Let a = -0.12 - -17.12. What is the second smallest value in a, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31584309 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.27, -2, 4 in ascending order.\nAnswer: -5, -2, 0.27, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = d - 53. Suppose 3*p = 5*o - 1247, d*p - 733 = -3*o + 4*p. Which is smaller: 248 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72972 and 12824?\nAnswer: 935792928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -407*o**3 - 6*o - 6. Let v(n) = 814*n**3 + 11*n + 11. Determine -11*r(a) - 6*v(a).\nAnswer: -407*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -402 + 1167. Let j = d - 315. Round j to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/35 + -888\/385. Find the common denominator of x and 3\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82 + 26?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*m = -155 + 155. Let s(x) be the first derivative of m*x**3 + 11 - 34*x + 27\/4*x**4 + 0*x**2. What is the first derivative of s(h) wrt h?\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 + 5 + 58 + 62?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 - 2*d. Let q be a(2). Suppose 6 = q*s - 5*s. Suppose 2 = -s*x + z, x - 9 = -4*x - z. Calculate the least common multiple of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -961590 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/9 + 188\/36. Solve r*v + 37 = 3*y, v + 4*y - 2 = 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3781, 3779, 3783, 3799, 3833, 3891, 3979, 4103?\n\"Answer: l**3 - 3*l**2 + 3783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-3)\/(12\/16). Solve -2*a + o = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/88*-8*34\/(-2210)\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8445 rounded to 2 decimal places?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:06 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -134, -1860?\nAnswer: -1860","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9649.2, 0.05, -2\/7, -3, -9 in decreasing order.\nAnswer: 9649.2, 0.05, 0, -2\/7, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -2 - 2 - (-135 + 142)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h**3 + h**2 + 2*h + 2. Let y be p(-1). Calculate the highest common divisor of 20 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -5*k**7\/42 - k**3\/2 + 6*k. What is the second derivative of l(r) wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**6\/39 - 6*w**5\/65 - w**4\/13 + 4*w**3\/39 + 3*w**2\/13 + 2*w\/13 + 24. Determine c so that i(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/4 - 2. Suppose -2*i - 2 = -i. What is the closest to i in u, 0.4, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -44\/9, 17, 4.\nAnswer: -44\/9, -1, 4, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r + 8. Let f(z) = 2. Let o(i) = -i + 10. Let k(g) = 5*f(g) - o(g). Determine 4*k(c) - p(c).\nAnswer: c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12818 divided by 2\nAnswer: -6409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.22\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5352960 divided by 8704?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 296.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:23 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 10:21 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1170118 - 0.117. What is v rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 - 4.07. Which is the closest to 1? (a) -1 (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*x**3 + x + 5*x**4 + 61*x**2 + 55*x**2 - 175*x**2 + 61*x**2 in the form s*x**3 + c*x**2 + f*x + k + d*x**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 213888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1100100101100001110 (base 2) to base 14\nAnswer: -aa434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}